Help pleaseeee!
30d = i
How many inches would the plant grow in 14 days?

Help Pleaseeee!30d = IHow Many Inches Would The Plant Grow In 14 Days?

Answers

Answer 1

The amount of inches that the plant grows in 14 days is given as follows:

420 inches.

How to model the situation?

The proportional relationship that models the situation is given as follows:

i = 30d.

This means that the plant grows by 30 inches every day.

After 14 days, we have that d = 14, hence the size of the plant after 14 days is given as follows:

i = 30 x 14

i = 420 inches.

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Related Questions

Please awnser asap I will brainlist

Answers

The number of subsets in the given set is as follows:

16.

How to obtain the number of subsets in a set?

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

[tex]2^n[/tex]

The set in this problem is composed by integers between 2 and 5, hence it has these following elements:

{2, 3, 4, 5}.

The set has four elements, meaning that n = 4, hence the number of subsets is given as follows:

[tex]2^4 = 16[/tex]

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

(A) AA similarity

Step-by-step explanation:

In ΔABC,

∠A + ∠B + ∠C = 180

∠A + 27 + 90 = 180

∠A = 180 - 90 - 27

∠A = 63

Comparing ΔABC and ΔMNP,

∠A = ∠M = 63

∠C = ∠P = 90

Therfore, by AA property, the two triangles are similar

What is 98 in exponential form

Answers

We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.

To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.

Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:

We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.

To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.

98 ÷ 10 = 9.8

Since 9.8 is still greater than 1, we need to continue dividing by 10.

9.8 ÷ 10 = 0.98

Now, we have reached a value less than 1, so we stop dividing.

From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:

98 =[tex]10^1[/tex] + 2

Therefore, we can write 98 in exponential form as:

98 = [tex]10^3[/tex]

In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.

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help me please i would appreciate it so so much

Answers

The proportional sides/corresponding sides of the triangles are ST/XY = RT/YZ = SR/XZ.

The value of a and b are 5 and 20 respectively.

What is the corresponding sides of the two similar triangles?

Corresponding sides refers to a pair of matching sides that are in the same spot in two different shapes.

ST/XY = RT/YZ = SR/XZ

ST/XY = 3/15

= 1/5

RT/YZ = 4 ÷ 1/5

= 4 × 5/1

YZ, b = 20

Hypotenuse² = opposite² + adjacent²

5² = 3² + 4²

25 = 9 + 16

25 = 25

Therefore,

SR = a = 5

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help me please i would appreciate it so so much

Answers

The triangles are congruent because of S.A.A

What are congruent triangles?

Congruent triangles are triangles having corresponding sides and angles to be equal. This means that for two triangles to be congruent, the corresponding angles must be equal and the corresponding sides must also be equal.

In the triangles the corresponding angles are equal.

In triangle ABC, the third angle is calculated as;

180-(90+30)

= 180-120

= 60°

I'm triangle DCE, the third angle is calculated as;

180-(90+30)

= 180-120

= 60°

Therefore the two triangles are congruent because the corresponding angles are equal.

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NO LINKS!! URGENT HELP PLEASE!!!

9. Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)

Answers

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

[tex]y = -x^2 - 4x + 2[/tex]

Step-by-step explanation:

The equation of a parabola in vertex form is:

[tex]y = a(x - h)^2 + k[/tex]

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

[tex]-3 = a(1 - (-2))^2 + 6[/tex]

[tex]-3 = a(3)^2 + 6[/tex]

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

[tex]y = -1(x + 2)^2 + 6[/tex]

This equation can also be written as:

[tex]y = -x^2 - 4x -4+6\\y=x^2-4x+2[/tex]

What was the average speed in miles; per minute, during the interval of 30 and 40? Step by step.

Answers

The average speed in miles per minute during the interval of 30 and 40 is -1.5 miles per minute

How to determine the average speed in miles per minute

From the question, we have the following parameters that can be used in our computation:

The graph

During the interval of 30 and 40, we have

Distances = 15 and 0

So, we have

Average speed = (15 - 0)/(30 - 40)

Evaluate

Average speed = -1.5

Hence, the average speed in miles per minute is -1.5

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Solve for each equation and round to the nearest 100th
Show work

12x =100

Please help I am confused I need help fast
Will give 5 stars

Answers

x = 8.33 and the solution to the equation 12x = 100 is x = 8.33 (rounded to the nearest hundredth).

To solve the equation 12x = 100, we need to isolate the variable x. We can do this by dividing both sides of the equation by 12.

12x = 100

Dividing both sides by 12:

(12x)/12 = 100/12

Simplifying:

x = 100/12

Now, let's calculate the value of x.

x = 8.33 (rounded to the nearest hundredth)

Therefore, the solution to the equation 12x = 100 is x = 8.33 (rounded to the nearest hundredth).

Here's the step-by-step solution:

12x = 100 (given equation)

Divide both sides by 12: (12x)/12 = 100/12

Simplify: x = 8.33

Please note that the answer is rounded to the nearest hundredth as requested.

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Algebraic expression for 4less then 3x

Answers

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

Help Seve & Ext
Lusk Corporation produces and sells 15,100 units of Product X each month. The selling price of Product X is $21 per unit, and variable expenses are $15 per unit. A
study has been made concerning whether Product X should be discontinued. The study shows that $72,000 of the $101000 in monthly fixed expenses charged to
Product would not be avoidable even if the product was discontinued if Product X is discontinued, the monthly financial advantage (disadvantage) for the company
Subm

Answers

If Product X is discontinued, the company would have a monthly financial advantage of $61,600.

To determine the monthly financial advantage or disadvantage for the company if Product X is discontinued, we need to calculate the total revenue and total expenses associated with Product X.

Total Revenue:

Product X sells 15,100 units per month at a price of $21 per unit. Therefore, the total revenue can be calculated as:

Total Revenue = Number of Units Sold × Price per Unit

Total Revenue = 15,100 units × $21 = $317,100

Total Variable Expenses:

The variable expenses per unit for Product X are given as $15. Therefore, the total variable expenses can be calculated as:

Total Variable Expenses = Number of Units Sold × Variable Expenses per Unit

Total Variable Expenses = 15,100 units × $15 = $226,500

Total Fixed Expenses:

Out of the $101,000 in monthly fixed expenses, $72,000 would still be incurred even if Product X is discontinued. Therefore, the avoidable fixed expenses would be:

Total Fixed Expenses - Avoidable Fixed Expenses = $101,000 - $72,000 = $29,000

Monthly Financial Advantage (Disadvantage):

To calculate the monthly financial advantage or disadvantage, we subtract the total expenses (fixed and variable) from the total revenue:

Monthly Financial Advantage (Disadvantage) = Total Revenue - Total Variable Expenses - Total Fixed Expenses

Monthly Financial Advantage (Disadvantage) = $317,100 - $226,500 - $29,000

Monthly Financial Advantage (Disadvantage) = $61,600

Therefore, if Product X is discontinued, the company would have a monthly financial advantage of $61,600.

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A portion of a game board design is shown. Determine the value of x to the nearest tenth.
A)5
B)9
C)13.6
D)20.6

Answers

The measure of line segment x in the game board is approximately 13.6.

What is the value of x?

The secant-tangent power theorem states that "if a tangent and a secant are drawn from a common external point to a circle, then the product of the length of the secant segment and its external part is equal to the square of the length of the tangent segment.

It is expressed as:

( tangent segment )² = External part of the secant segment × Secant segment.

From the given figure:

Let;

Tangent segment = 12

Secant segment = 7 + x

External part of the secant segment = 7

Plug these values into the above formula and solve for x.

( tangent segment )² = External part of the secant segment × Secant segment.

12² = 7( 7 + x)

144 = 49 + 7x

7x = 144 - 49

7x = 95

x = 95/7

x = 13.6

Therefore, the value of x is approximately 13.6.

Option C) 13.6 is the correct answer.

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PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O

Answers

Answer:

Practical domain:  0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}

The 3.907 is approximate.

====================================

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

------------

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

------------

Extra info:

The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".

You are choosing between two health clubs club a offers membership for a fee of $13 plus a monthly fee of $28 club B offers membership for a fee of $19 plus a monthly fee of $27 after how many months will the total cost of each health club be the same? What will be the total cost for each club?

Answers

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

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Given the diagram below, what is tan (60*)
OA. 4√2
OB. √3/2
OC. 4√3
OD. √3

Answers

Answer:

D. √3

Step-by-step explanation:

This is a 30-60-90 triangle that has special rules concerning its side lengths.Let's call the length of the side opposite the 30° angle a.The length of the side opposite the 60° angle is a * √3.The length of the 90° (right) angle is 2a.

The tangent ratio is given by:

tan (θ) = opposite/adjacent, where

θ is the reference angle.When the 60° angle is the reference angle, the side that is 8 * √3 units long is the opposite side.The side with an unknown length and opposite the 30° angle is the adjacent side.According to the 30-60-90 triangle rules, 8 is a and this is the length of the side opposite the 30° angle.

Thus, we plug in 8√3 for the opposite side and 8 for the adjacent side, which gives us:

tan (60) = (8√3) / 8

Thus reduces down to √3 so D. is the correct answer.

Does anyone know how to solve this with steps?

Find the savings plan balance after 19 months with an APR of 11​% and monthly payments of ​$250.

Answers

To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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Which is an exponential decay function
F(x)= 0.2

Answers

The function F(x)=0.2F(x)=0.2 is not an exponential decay function. It is a constant function where the output value is always equal to 0.2, regardless of the input value xx.

An exponential decay function is typically in the form f(x)=a⋅bxf(x)=a⋅bx, where aa and bb are constants and bb is a value between 0 and 1. As xx increases, the exponential decay function decreases exponentially.

For example, an exponential decay function could be f(x)=0.2⋅(0.5)xf(x)=0.2⋅(0.5)x, where the base 0.50.5 represents the decay factor. As xx increases, the value of the function decreases rapidly.

In summary, an exponential decay function follows the pattern of decreasing values as xx increases, while the function F(x)=0.2F(x)=0.2 represents a constant value regardless of the input xx.

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The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera

Answers

The Brady & Matthew Camera Company has recently introduced its latest high-quality digital camera designed for professional use.

1. The Brady & Matthew Camera Company: The company known as Brady & Matthew Camera is the manufacturer of the newly released digital camera.

2. Newest professional quality digital camera: The recently launched camera by Brady & Matthew Camera Company is their latest product in their lineup of professional-grade digital cameras.

3. Features: The new camera is equipped with advanced features that cater to the needs of professional photographers, such as high-resolution image sensors, a wide range of ISO sensitivity, and customizable shooting modes.

4. Image Quality: The camera is designed to deliver exceptional image quality with sharp details, accurate colors, and low noise, ensuring professional-grade results.

5. Durability: The camera is built to withstand the rigors of professional use, featuring a robust body construction and weather sealing to protect against dust and moisture.

6. Ergonomics: Brady & Matthew Camera Company has paid attention to ergonomic design, ensuring that the camera is comfortable to hold and operate for extended periods.

7. Connectivity: The camera is equipped with various connectivity options, including Wi-Fi and Bluetooth, allowing photographers to transfer images wirelessly and control the camera remotely.

8. Accessories: Brady & Matthew Camera Company offers a range of compatible accessories for their new camera, including lenses, external flashes, and battery grips, expanding the capabilities of the camera system.

9. Market Availability: The new professional-quality digital camera by Brady & Matthew Camera Company is now available for purchase from authorized retailers and their official website.

10. Customer Support: The company provides reliable customer support services, including warranty coverage, technical assistance, and firmware updates to ensure a satisfying user experience.

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To factor 4x^2-25, you can first rewrite the expression as:

a. (2x-5)^2
b. (2x)^2-(5)^2
c. (x)^2-(2)^2
d. None of the above

Answers

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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NO LINKS!! URGENT HELP PLEASE!!!

Please help with #13 & 14​

Answers

The type of the function is a cube function

Translate left by 1 unit and translate down by 2 unitsThe function has no minimum or maximum

The equation of the parabola is y = -1/18(x - 4)² - 1

How to determine the type of the function

From the question, we have the following parameters that can be used in our computation:

y = (x + 1)³ - 2

The above function has a degree of 3

This means that the type of the function is a cube function

To translate the function from the parent function, we have

Translate left by 1 unit and translate down by 2 units

Also, the function has no minimum or maximum

How to determine the equation of the parabola

Here, we have

Vertex = (4, -1)

Point (-2, -3)


A parabola is represented as

y = a(x - h)² + k

Using the vertex, we have

y = a(x - 4)² - 1

Using the point, we have

a(-2 - 4)² - 1 = -3

This gives

a(-2 - 4)² = -2

So, we have

36a = -2

Evaluate

a = -1/18

Recall that

y = a(x - 4)² - 1

So, we have

y = -1/18(x - 4)² - 1

Hence, the equation is y = -1/18(x - 4)² - 1

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The following are the annual incomes (in thousands of dollars) for 8 randomly chosen, U.S. adults employed full-time.
44, 44, 54, 54, 65, 39, 54, 44
Send data to calculator
(a) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not
an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate dircle, and then indicate the value(s) of the
mode(s), if applicable.
0
Zero modes
one mode:
Two modes:

Answers

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

Consider the chart of LCD Television sets and population below. Round your ratio as a decimal to 6 places. Round the Owners per 100 to one decimal.

City

Number of Owners

Total Population

Ratio as decimal

Owners per 100

Indianapolis

6,245

0.90 million



New York

911,216

18.6 million



Cairo

10,598

19.1 million



Beijing

959,611

21.2 million



Tokyo

1,700,510

26.5 million

Answers

To calculate the ratio as a decimal, we divide the number of owners by the total population for each city.

For Indianapolis: Ratio = 6,245 / 0.9 million = 0.006938

For New York: Ratio = 911,216 / 18.6 million = 0.049019

For Cairo: Ratio = 10,598 / 19.1 million = 0.000554

For Beijing: Ratio = 959,611 / 21.2 million = 0.045270

For Tokyo: Ratio = 1,700,510 / 26.5 million = 0.064234

To calculate the owners per 100, we multiply the ratio by 100.

For Indianapolis: Owners per 100 = 0.006938 * 100 = 0.7 (rounded to one decimal place)

For New York: Owners per 100 = 0.049019 * 100 = 4.9 (rounded to one decimal place)

For Cairo: Owners per 100 = 0.000554 * 100 = 0.1 (rounded to one decimal place)

For Beijing: Owners per 100 = 0.045270 * 100 = 4.5 (rounded to one decimal place)

For Tokyo: Owners per 100 = 0.064234 * 100 = 6.4 (rounded to one decimal place)

Therefore, the ratio as a decimal and the owners per 100 for each city are as follows:

Indianapolis: Ratio = 0.006938, Owners per 100 = 0.7

New York: Ratio = 0.049019, Owners per 100 = 4.9

Cairo: Ratio = 0.000554, Owners per 100 = 0.1

Beijing: Ratio = 0.045270, Owners per 100 = 4.5

Tokyo: Ratio = 0.064234, Owners per 100 = 6.4

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A function and its inverse are shown on the same graph.
f(x)
x
6.
Which statement describes the relationship between the
function and its inverse?
O The slope of f¹(x) is the same as the slope of f(x).
The slope of f¹(x) is the opposite as the slope of f(x).
O The x-intercept of f¹(x) is the same as the y-intercep
of f(x).
The x-intercept of f¹(x) is the opposite as the y-
intercept of f(x).

Answers

Answer:

  (c)  The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

Step-by-step explanation:

You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).

Inverse function

The inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...

  f(a) = b

then the graph of f(x) contains the ordered pair (a, b).

The inverse function will have the ordered pair (b, a). That is,

  f⁻¹(b) = a

Application

If an ordered pair (x-intercept) of the inverse function is ...

  (P, 0)

Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.

The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

__

Additional comment

The graphs of the two functions are mirror images of each other across the line y=x.

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find the instantaneous rate of change of \( f(x)=4-2 x^{2} \) at \( x=0.5 \) GENERATE THE ANSWER IN 100 WORDS IT WILL BE DIVIDED INTO TWO PARAGRAPHS THE FIRST PARA WILL BE THE SUMMARY OF THE ANSWER AND SECOND PARA WILL BE THE EXPLANATION OF THE ANSWER

Answers

The instantaneous rate of change of f(x)=4-2 [tex]x^{2}[/tex] at x=0.5 is −2. This means that at that specific point, the function is changing at a rate of -2 units per unit change in x.

The instantaneous rate of change of a function at a specific point can be found by taking the derivative of the function and evaluating it at that point. In this case, we have the function f(x)=4-2 [tex]x^{2}[/tex] and we want to find the instantaneous rate of change at x=0.5.

To find the derivative of f(x), we apply the power rule for differentiation. Taking the derivative of each term, the derivative of 4 is 0, and the derivative of −2[tex]x^{2}[/tex] is −4x. Therefore, the derivative of f(x) is  (x)=−4x.

Now, to find the instantaneous rate of change at x=0.5, we substitute

x=0.5 into the derivative function. f′(0.5)=−4(0.5)=−2.

This means that the function is changing at a rate of -2 units per unit change in x.

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Find the least number that should be subtracted from 1456 to make a perfect square with formula

Answers

Answer:

The least number that should be subtracted from 1456 to make a perfect square with formula is 9^2, which is equal to 81.

Step-by-step explanation:

To find the least number that should be subtracted from 1456 to make a perfect square with formula, we need to use the formula for the square of a number.

(n + a)squared = nsquared + 2nas + asquared

In our case, since we want to find the least number to be subtracted, we need to make the result of the formula 2nas + asquared negative (so the difference is a perfect square)

2nas + asquared < 0

Let's try for some values of n:

1456 - n = aperfect square

1456 - 5^2 = (1456 - 25)^2 = 1431^2

1456 - 7^2 = (1456 - 49)^2 = 1407^2

1456 - 9^2 = (1456 - 81)^2 = 1375^2

Since 1375^2 is the smallest of the squares calculated so far, we can conclude that the smallest number that should be subtracted from 1456 to make a perfect square formula with a perfect square result is 1456 - 9^2 == 1456 - 81 == 9^2 == 81

So in this case, the least number that should be subtracted from 1456 to make a perfect square with formula is 9^2, which is equal to 81.

Please awnser asap I will brainlist

Answers

The number of subsets in the given set is as follows:

128.

How to obtain the number of subsets in a set?

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

[tex]2^n[/tex]

The set in this problem is composed by integers between 2 and 8, hence it has these following elements:

{2, 3, 4, 5, 6, 7, 8}.

The set has four elements, meaning that n = 7, hence the number of subsets is given as follows:

[tex]2^7 = 128[/tex]

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Please awnser asap I will brainlist

Answers

Answer: The first one ⊄

Step-by-step explanation: A is not a subset of E.

However, E is a subset of A

what is an example of "⊂-maximal element"?

Answers

The correct answer is a set S is T-finite if every nonempty subset X of the power set P(S) has a maximal element u, meaning there is no other element v in X such that u is a subset of v.

On the other hand, if a set S does not satisfy the condition of being T-finite, it is referred to as T-infinite.The notation "T" in this context represents Tarski, referring to the mathematician Alfred Tarski, who contributed to the study of set theory and lattice theory.In set theory, Tarski introduced the concept of T-finiteness to define a notion of finiteness for sets based on their subsets. A set S is considered T-finite if every nonempty subset X of the power set P(S) (the set of all subsets of S) has a maximal element u. This means that for any subset X, there exists an element u in X such that there is no other element v in X that properly contains u.

For example, consider the set S = {1, 2, 3}. The power set P(S) includes subsets such as {}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, and {1, 2, 3}. According to Tarski's T-finiteness, for any nonempty subset X from P(S), there should exist a maximal element. In this case, each nonempty subset has a maximal element because every subset has a largest element that cannot be properly contained within any other subset.

On the other hand, if a set S does not satisfy the condition of T-finiteness, it is considered T-infinite. This means that there exists a nonempty subset X of P(S) for which there is no maximal element. In other words, there are subsets within the power set that do not have a largest element.

Tarski's T-finiteness provides an alternative way to define finiteness based on the behavior of subsets within a set. It is a concept used in the study of set theory and has connections to other areas of mathematics, such as lattice theory.

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Consider an electric car that also has a engine. The distance D, in miles, the car can travel with a fully charged battery on g gallons is given by the formula D=36+35g. Determine the distance the car can travel using 6 gallons of gasoline.

Answers

Answer:

Hey, math brainiac, check this  out. If our hybrid electric car gets 36 miles per charge and goes through 6 gallons of gas, that means she'll cover another 210 miles. Total trip length? Some sweet 246 miles, bro. That's enough juice to cruise cross-country without ever needin' to stop at a gas station. Talk about efficiency.

The distance traveled by the car by 6 gallons is 246 miles.

Given data:

To determine the distance the car can travel using 6 gallons of gasoline, substitute the value of g = 6 into the formula D = 36 + 35g and evaluate it.

Formula: D = 36 + 35g

Gasoline amount: g = 6

Substituting g = 6 into the formula, we have:

D = 36 + 35(6)

On simplifying the equation:

D = 36 + 210

D = 246

Therefore, the value of D = 246 miles

Hence, the car can travel a distance of 246 miles using 6 gallons of gasoline.

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K
Suppose a business purchases equipment for $12,500
and depreciates it over 5 years with the straight-line
method until it reaches its salvage value of $2500 (see
the figure below). Assuming that the depreciation can be
for any part of a year, answer the questions to the right.
A Dollars
15,000+
12,500
10,000+
5000
10,500
8500
6500
4500
2500
Years
Q
...

Answers

Q1- The annual depreciation for the equipment is $2,000.

Q2- The book value of the equipment at the end of Year 3 is $6,500.

Q1: What is the annual depreciation for the equipment?

To calculate the annual depreciation, we need to determine the difference between the initial value and the salvage value, and divide it by the number of years.

Initial value = $12,500

Salvage value = $2,500

Number of years = 5

Annual depreciation = (Initial value - Salvage value) / Number of years

= ($12,500 - $2,500) / 5

= $10,000 / 5

= $2,000

Therefore, the annual depreciation for the equipment is $2,000.

Q2: What is the book value of the equipment at the end of Year 3?

The book value of the equipment at the end of a specific year can be calculated by subtracting the accumulated depreciation from the initial value.

Initial value = $12,500

Annual depreciation = $2,000

Number of years = 3

Accumulated depreciation = Annual depreciation * Number of years

= $2,000 * 3

= $6,000

Book value at the end of Year 3 = Initial value - Accumulated depreciation

= $12,500 - $6,000

= $6,500

Therefore, the book value of the equipment at the end of Year 3 is $6,500.

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Si tengo cinco naranjas y tengo que repartirlas entre cuatro niños cuánto le toca a cada uno

Answers

Each child will get 1 orange, and there will be one orange left over.

If you have five oranges and you need to distribute them among four children, then you need to find out how many oranges each child will get.

To do this, you can divide the total number of oranges by the number of children.

Let's see how to do this: Divide the number of oranges by the number of children.5 ÷ 4 = 1.25This means that each child will get 1.25 oranges.

However, since you can't give a child a fraction of an orange, you will need to round this number to the nearest whole number.

If the decimal is less than 0.5, you round down; if it's 0.5 or greater, you round up.

In this case, 1.25 is closer to 1 than to 2, so you round down to 1.

Therefore, Each child will receive one orange, with one orange remaining.

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