Which is the best approximation of the solutions to the system of equations graphed below?

Answer:

A)

Step-by-step explanation:

3+3=6 6>5

3+5=8 3<8

A)

Answer:

Step-by-step explanation:

Based on the stem and leaf plots given, the correct stem and leaf plot for the first table on per capita income is the third stem and leaf diagram.

For the table on the basketball tornament, the correct stem and leaf plot would be the last one.

First look at the key to the bottom right of the plot to see how to interpret the data.

The key on the third stem and lead plot says 1 I 2 = 12,000. This means that every steam and lead pairing is in thousands.

Based on the income per capita being in thousands, this is the most likely stem and lead plot for the first table on income per capita.

The second table about basketball tornament appearances is on single and double digits. Only a small stem and leaf key will do.

Look at the number of appearances. The minimum is 1. On a stem and leaf, this is shown as 0 I 1. Options A and B don't have this so we go to Options C and D.

As established, Option C is for data in their thousands so it is out. The correct stem and leaf plot is therefore Option D.

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The striped rectangle has a total area of 69,375 cm².

To find the area of the striped rectangle we must carry out the following procedures.

Find the area of each segment of the rectangle, that is, what is the area of each of the 24 squares that make up the rectangle, for that we divide the 111cm² of the total area into 24.

According to the above, we infer that each square has an area of 4.625cm².

On the other hand, to find the area of the striped rectangle we must take into account that it is 5 squares long by 3 squares high, that is, its area is 15 squares.

Finally, each square has an area of 4.625cm², so to find the total area of the striped area we must multiply the area of each square by the number of squares.

15 × 4.625cm² = 69.375cm²

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Answer:

y = -0.6x^2 + 5x + 6

Step-by-step explanation:

First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.

y = mx + b

15.6 = 3m + 6

9.6 = 3m

m = 3.2

y = 3.2x + 6

y = a(x - 0)(x - 3) + 3.2x + 6

y = a(x)(x - 3) + 3.2x + 6

Finally, substitute 10 for x and -4 for y in the equation above to find a.

-4 = a(10)(10 - 3) + 3.2*10 + 6

-4 = a(10)(7) + 32 + 6

-4 = 70a + 38

-42 = 70a

a = -0.6

Simplify to write in standard form.

y = -0.6(x)(x - 3) + 3.2x + 6

y = -0.6x^2 + 5x + 6

The borrower owes $14,760.82  at the end of 8 years

What is compounding interest?

Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.

Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:

FV=PV*(1+r/n)^(n*t)

FV=loan balance after 8 years=unknown

PV=loan amount=$5,000

r=annual interest=14%

n=number of times in a year that interest is compounded=2(twice a year)

t=loan period=8 years

FV=$5000*(1+14%/2)^(2*8)

FV=$5000*(1.07)^16

FV=$5000*2.95216374856541

FV=loan balance after 8 years=$14,760.82

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Answer: 389 is the square root.

Answer:

389 is the square root

Step-by-step explanation:

BRAINIEST PLS

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=5\\ b=9\\ h=7 \end{cases}\implies \begin{array}{llll} A=\cfrac{7(5+9)}{2}\implies A=\cfrac{7(14)}{2} \\\\\\ A=49 \end{array}[/tex]

46) True

47) False

These are true by definition.

Answer: B

Step-by-step explanation:

[tex]\frac{4+5i}{4i}\\ \\ =\frac{1}{4} \left(\frac{4+5i}{i} \right)\\\\=\frac{1}{4}((-i)(4+5i))\\\\=\frac{1}{4}(-4i-5i^2)\\\\=\frac{5-4i}{4}[/tex]

Answer:

the total new area is 2800 ft²

Step-by-step explanation:

original area: 1600 ft²

new expanded area: 1600 ft² + 75% of 1600 ft²

new expanded area = 1600 ft² + 0.75 × 1600 ft²

new expanded area = 1600 ft² + 1200 ft²

total new area = 2800 ft²

The answer is 235 because the weight is placed at the fulcrum

Linear equations are equations that have constant average rates of change, slope or gradient

The linear equation is given as:

T = 235 + 980d

A linear equation is represented as:

T = b + md

Where m represents the slope

So, we have

m = 980

This means that 980 represents the amount of Torque per meter

When the weight is placed at the fulcrum, the value of d is 0

So, we have

T = 235 + 980d

Evaluate

T = 235 + 980 * 0

This gives

T = 235

Hence, the answer is 235 because the weight is placed at the fulcrum

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An example of an exponential graph function has been attached and its' properties are as below.

The general formula for exponential functions is: f(x) = aˣ, a > 0, a ≠ 1.

The reasons for the restrictions are because;

If a ≤ 0, then when you raise it to a rational power, you may not get a real number.

The graph of an exponential function y = 2ˣ is shown in the attached file. Here are some properties of the exponential function when the base is greater than 1.

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The base of the exponential function model in order to get 15% decay should be 0.85

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation.

The first step would be figuring out the function's base.

The function's form should be, [tex]y=a*b^{t}[/tex]

Here,

'a' denotes the starting value.

'b' denotes the decrease rate.

't' denotes time.

According to the question, the exponential function model is,

[tex]y=b^{\frac{t}{12} }[/tex]

In order to get a 15% decay,

The base of the function should be (100-15)/100 = 0.85

Thus, Base of function(b) = 0.85

The exponential function model is written as:

[tex]y=0.85^{t/12}[/tex]

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The correct proportion that can be used to find the actual distance  represented by 5 inches on the map is start fraction over 50 end fraction=start fraction 50 over 5 end fraction which is 3/50=5/x.

Given that 3 inches on a map represents 50 miles.

We are told to find the proportion which can be used to represent 5 inches.

Multiplication is basically finding the product of two numbers but it can be used to convert the units also.

If 3 inches represents 50 miles then,

1 mile=50/3

Multiply both sides by 5.

5 miles=5*50/3

If we see the options then we will get that the most appropriate and correct option which represents 5 inches is that start fraction over 50 end fraction=start fraction 50 over 5 end fraction which is 3/50=5/x.

Hence the correct proportion that can be used to find the actual distance represented by 5 inches on the map is start fraction over 50 end fraction=start fraction 50 over 5 end fraction which is 3/50=5/x.

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Answer:

B

Step-by-step explanation:

3/50 = 5/x

With the use of formula, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

First analyze the problem and represent them in exponential function. The decay rate is different from increase rate with minus and plus sign.

Given that a tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Let

An exponential model representing the amount of Iodine-125 remaining in the tumor after t days will be

A = I( 1 - R%)^t

Let us use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days by substituting all the given parameters into the formula

A = 0.9 ( 1 - 1.15/100)^60

A = 0.9 ( 1 - 0.0115)^60

A = 0.9 ( 0.9885)^60

A = 0.9 x 0.4995

A = 0.45 grams

Therefore, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams

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Using the probability concept, we have that:

a) The experimental probability is of 0.75 = 75%.

b) The theoretical probability is of 0.5 = 50%.

c) As the number of trials increases, the probabilities are expected to get closer, though they might not be equal.

A probability is given by the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these number of outcomes are taken from previous trials. A theoretical probability is calculated before any trial, and as the number of trials increase, the experimental and theoretical probabilities get closer.

From the table, there were 20 trials, and 2 + 3 + 4 + 4 + 2 = 15 resulted in even numbers, hence the experimental probability is:

p = 15/20 = 0.75 = 75%.

For a fair machine, even and odd numbers should be equally as likely, hence the theoretical probability is of 0.5 = 50%.

For item c, we have that as the number of trials increases, the probabilities are expected to get closer, though they might not be equal.

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The book value of the fixed assets for the current year and the preceding year is: $1,442,587; $926,368.

Current year book value

Land and buildings $707,150

Machinery, equipment, and internal-use software $671,793

Office furniture and equipment $106,073

Other fixed assets related to leases $855,652

Less Accumulated depreciation and amortization ($898,081)

Book value $1,442,587

Preceding year book value

Land and buildings $410,147

Machinery, equipment, and internal-use software  $530,363

Office furniture and equipment $91,930

Other fixed assets related to leases $643,507

Less Accumulated depreciation and amortization  ($749,579)

Book value $926,368

Therefore the book value of the fixed assets for the current year and the preceding year is: $1,442,587; $926,368.

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A 0.13 sec and a 86 kVp technical changes are the changes that would have to produce the radiographic density and the contrast that are more similar to the original.

The radio graphic density can de defined to be the total amount or the overall darkening that can be found in a particular radiograph. This is usually known to have a certain type of density range that lies between  0.3 to 2.0 density.

When there is a density that is less than 0.3, the problem is basically because there is the issue of the density which would be found at the base and the fact that the film that is being used has fog in it.

It is known that based on the values that we have here the density and contrast would have to be of the given kvp of 86 and 0.13 seconds in order to be said to be similar to the original.

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Answer: [tex]\Large\boxed{A.~y=3x+4}[/tex]

Step-by-step explanation:

Given information

Slope = 3

Point = (-3, -5)

Given the format of the equation

Slope-intercept form: y = mx + b

Substitute values into the equation

y = (3)x + b

y = 3x + b

Substitute the given point into the equation to get the value of [ b ]

(-5) = 3(-3) + b

-5 = -9 + b

b = -5 + 9

b = 4

Therefore, the equation of the line is [tex]\Large\boxed{y=3x+4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

10

Step-by-step explanation:

the sequence follows the rule of adding the number and then the number -1 depending on the number before it. for example, you can see in order to get from 2 to 2, it adds 0 or subtracts by 0. After that to get from 2 to 4, you add 2. After that, you subtract 1 from 2 and you subtract that number which is 1 from 4 to get 3 and so on. Following that rule, you get 10 as the next number in the sequence

Answer:

The answer to that question depends

beacuse where ever you are it changes like uk you can pay 100€

or japan it can be around 1000¥

The equation for the horizontal asymptote will be y = -2.

Since the degree of the numerator and denominator of f(x) is the same both being 1, therefore horizontal asymptote exists and is given by:

y = Leading coefficient of numerator of f(x) / Leading coefficient of denominator of f(x)

= y = -2/1

= y = -2

The vertical asymptote will be f(x) = -2x / (x + 3). To find the vertical asymptote we will equate the denominator of f(x) = 0

= x + 3 = 0

= x = -3

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Answer:

72 Degrees

Step-by-step explanation:

10 / 50 = 0.2

A circle has 360 degrees.

0.2 X 360 = 72

The best approach to calculating the stipulated 20% tip by means of fractions is to note that the tip is one-fifth of the total amount charged on the bill.

The percentage represented as; 20% can be expressed as a fraction.

This follows from the fact that the percentage, % symbol translates to divided by 100.

Consequently, we must note that the 20% translates to; 20/100 = 1/5.

Hence, the 20% tip is one-fifth of the total amount.

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The resulting value of the function when the values of t is 2 and 6 are 3.5 and 6.5 respectively

Functions are expressions in form of variables. Given the following quadratic equation expressed as:

f(t) = 0.25t^2 − 0.5t + 3.5

We can find the equivalent value of the function when the value of t a re 2 and 6.

If the value of t is 2. hence;

f(2) =  0.25(2)^2 − 0.5(2) + 3.5

f(2) = 1 - 1 + 3.5

f(2) = 3.5

If the value of t is 6, hence;

f(6) = 0.25(6)^2 − 0.5(6) + 3.5

f(6) = 9 - 3 + 3.5

f(6) = 6.5

Hence the resulting value of the function when the values of t is 2 and 6 are 3.5 and 6.5 respectively

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Answer:

5w^2 + 6w - 32

Step-by-step explanation:

Subtract as needed and combine like terms

(-2w^2 + 6w - 19) - (-7w^2 +13) dont forget to distribute the negative

so you get this:

-2w^2 + 7w^2 = 5w^2

6w

-19 - 13 = - 32

your answer is 5w^2 + 6w - 32

hope this helps :)

Hi :)

Let's solve by combining like terms

Combining like terms means you add or subtract

Solve by combining like terms

[tex]\implies\darkblue\sf{-2w^2+6w-19-(-7w^2+13)}\\\implies\darkblue\sf{-2w^2+6w-19+7w^2-13}\\\implies\darkblue\sf{-2w^2+7w^2+6w-19-13}\\\implies\darkblue\sf{\underline{5w^2+6w-32}}[/tex]

[tex]\tt{Learn\:More;Work\:Harder}[/tex]

:)