I will give you 10 pts if you teach me ​

I Will Give You 10 Pts If You Teach Me

Answers

Answer 1

Answer:

time required = 26 min

Step-by-step explanation:

To solve this, let's first list all the given information, and change the units to millimeters (mm) if required (because the discharge rate is given in mm/s):

○ diameter of pipe = 64 mm ⇒ radius = 32 mm

○ water discharge rate = 2.05 mm/s

○ diameter of tank = 7.6 cm = 76 mm ⇒ radius = 38 mm

○ height of tank = 2.3 m = 2300 mm.

Now, let's calculate the cross-sectional area of the pipe:

Area = πr²

       ⇒ π × (32 mm)²

       ⇒ 1024π mm²

Next, we have to calculate the volume of water transferred from the pipe to the tank per second. To do that, we have to multiply the pipe's cross-sectional area and the discharge rate of the water:

Volume transferred = 1024π mm² × 2.05 mm/s

                                ⇒ 6594.83 mm³/s

Now. let's find the volume of the cylindrical tank using the formula:
Volume = π × r² × h

            ⇒ π × (38)² × 2300

            ⇒ 10433857 mm³

We know that 6594.83 mm³ of water is transferred to the tank every second, so to fill up 10433857 mm³ with water,

time required =  [tex]\frac{10433857 \space\ mm^3}{6594.83\space\ mm^3/s}[/tex]  

                     ⇒ 1582.12 s

                     ⇒ 1582.13 ÷ 60

                     ≅ 26 min

Answer 2

Answer:

  26 minutes

Step-by-step explanation:

The rate of filling the tank matches the rate of discharge from the pipe. Each rate is the ratio of volume to time. Volume is jointly proportional to the square of the diameter and the height.

Volume

For some constant of proportionality k, the volume of discharge in 60 seconds from the pipe is ...

  V = k·d²·h . . . . d = diameter; h = rate×time

  V = k(0.64 dm)²(0.0205 dm/s × 60 s) = k·0.503808 dm³

For the tank, the height (h) is the actual height of the tank. The volume of the tank is ...

  V = k(0.76 dm)²(23 dm) = k·13.2848 dm³

Proportion

Then the proportion involving (inverse) rates is ...

  time/volume = (fill time)/(k·13.2848 dm³) = (1 min)/(k·0.503808 dm³)

  fill time = 13.2848/0.503808 min ≈ 26.369

__

Additional comments

1 dm = 100 mm = 10 cm = 0.1 m

1 dm³ = 1 liter, though we don't actually need to know that here.

We have used 1 decimeter (dm) as the length unit to keep the numbers in a reasonable range. We have worked out the rate numbers, but that isn't really necessary (see attached).

__

The value of k is π/4 ≈ 0.785398. We don't need to know that because the values of k cancel when we solve the proportion.

I Will Give You 10 Pts If You Teach Me

Related Questions

PLS HELP, WLL GIVE BRAINLEST, AND DONATE POINTS, PLEASE HELP ASAP!!!!!! ALSO GIVING 30 POINTS

Answers

The answer is J.

The probability of spinning B on Spinner 1 is equal to the ratio of number of B to the total number of letter spaces.

2/81/4

The probability of spinning 1 on Spinner 2 is equal to the ratio of number of 1 to the total number of number spaces.

2/61/3

The probability is equal to :

1/4 × 1/31/12

Answer:

J   [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

• First, let's find the probability of landing a letter B in Spinner 1.

We have a total of eight possibilities, and two of them are the letter B.

∴ [tex]P(B) = \frac{2}{8}[/tex]

            = [tex]\bf \frac{1}{4}[/tex]

• Next, let's find the the probability of landing the number 1 on Spinner 2.

There are a total of six possibilities, and two of them are the number 1.

∴ [tex]P(1) = \frac{2}{6}[/tex]

           = [tex]\bf \frac{1}{3}[/tex]

• Now we have to calculate the probability of spinning a letter B and the number 1:

[tex]P(B \space\ and\space\ 1) = \frac{1}{4} \times \frac{1}{3}[/tex]

                   = [tex]\bf \frac{1}{12}[/tex]

Solve the inequality 6 > x² - 5x.

Answers

Answer:

Step-by-step explanation:

6 > x² - 5x.

The answer for the inequality is -1 the greater than sign x greater than 6

The interval notation is ( -1,6)

Answer:

[tex]-1 < x < 6[/tex]

Step-by-step explanation:

Moving all terms to one side, we get [tex]x^2-5x-6 < 0[/tex]. Notice that we can factor the left side. Doing so, we get [tex](x-6)(x+1) < 0[/tex]. The zeroes in this equation are [tex]x-6=0 \Rightarrow x=6[/tex] and [tex]x+1=0\Rightarrow x=-1[/tex]. Now, we must create test points in the intervals: [tex]x < -1, -1 < x < 6, x > 6[/tex]. For example, we can choose [tex]x=-2,x=0,x=7[/tex]. For [tex]x=-2[/tex], we get that [tex](-2-6)(-2+1) = 8 < 0[/tex] is false, since the expression is positive. Doing the same thing for [tex]x=0[/tex] and [tex]x=7[/tex], we get that only [tex]x=0[/tex] creates a negative value. This means that the values in the interval [tex]\boxed{-1 < x < 6}[/tex] all work.

The population density of New Jersey is about 1,195 people per square mile. Texas has a land area of 261,797 square miles. If Texas had the same population density as New Jersey, how many people would be living in that state?
261,797
8,864,926
26,059,203
312,847,415

Answers

Answer:

312,847,415

Step-by-step explanation:

1. Define the given values:

population density of new jersey = 1,195 people / square mile.Texas land area = 261,797 square miles.

2. Now interpret what other information the question gives:

the question states: "Texas has the same population density as New Jersey". therefore, we also know:population density of Texas = 1,195 people / square mile

3. upscale the ratio:

1,195 people : 1 square mile:now we have all the information to complete the equation.if there are 1,195 people for every 1 square mile, we just have to multiply the equation by the total square miles in texas (261,797 square miles). This will give us the:total population : total square miles in Texas1,195 x 261,797 : 1 x 261,797 = 312,847,415 (total population) : 261,797 square miles in Texas

therefore, the total population in Texas = 312,847,415

Hope this helps :)

Find the volume. 74yd 54yd 84yd 103yd

Answers

The volume of the figure in the attachment is 84 cubic yards

What is the volume of a figure?

The volume of a figure or a three-dimensional shape is the amount of space inside the figure or the three-dimensional shape

How to determine the total volume?

The complete question is added as an attachment.

From the attached figure, we can see that the three-dimensional shape is a frustum

The volume is then calculated using the following formula

V = 1/2 * (Sum of the parallel bases) * height * side length

From the figure, we have:

Parallel bases = 2 yards and 6 yards

Height = 3.5 yards

Side length = 6 yards

Substitute the known values in the above equation

V = 1/2 * (2 + 6) * 3.5 * 6

Evaluate the product in the above equation

V = 1/2 * (2 + 6) * 21

Evaluate the sum in the above equation

V = 1/2 * 8 * 21

Evaluate the product in the above equation

V = 1/2 * 168

Evaluate the product in the above equation

V = 84

Hence, the volume of the figure in the attachment is 84 cubic yards

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Which expression converts 100 inches per minute to feet per minute? 100 inches/ 1 minute x 60 minutes/ 1 hour

Answers

Option ( C ) is correct for this expression . 100 inches Over 1 minute times × 1 foot Over 12 inches.

What is a basic expression?

Expressions are basically the building blocks of Statements, in that every BASIC statement is made up of keywords (like GOTO, TO, STEP) and expressions. So expressions include not just the standard arithmetic and boolean expressions (like 1 + 2), but also values (scalar variables or arrays), functions, and constants.

Given that the expression 100 inches.

We need to convert 100 inches per minute to feet per minute.

Since, we know that 1ft = 12 inch

Then,

1 in = 1/12 ft

Now, we shall convert 100 inches per minute to feet per minute.

To convert in/min to ft/min, let us multiply by 1/12

Thus, we have,

[tex]\frac{100 in}{min} * \frac{1 ft }{12 in}[/tex]

Therefore, option ( c ) is correct for this expression .

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The complete question is -

Which expression converts 100 inches per minute to feet per minute?

A) Start Fraction #1 100 inches Over 1 minute End Fraction × Start Fraction 60 minutes Over 1 hour End Fraction

B) Start Fraction #2 100 inches Over 1 minute End Fraction × Start Fraction 1 hour Over 60 minutes End Fraction

C) 100 inches Over 1 minute times × Start Fraction 1 foot Over 12 inches End Fraction

D) 100 inches Over 1 minute times × Start Fraction 12 inches Over 1 foot End Fraction

On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).

What is the area of parallelogram ABCD?
13 square units
14 square units
15 square units

Answers

Answer:

13 square units

Step-by-step explanation:

We need to find the distance between the points using the  

Pythagorean Theorem, a² + b² = c²

(3,6) and (6,5); 6 - 3 = 3 and 6 - 5 = 1

3² + 1² = c²

9 + 1 = c²

c = √10

(6,5) and (5,1); 6 - 5 = 1 and 5 - 1 = 4

1² + 4² = c²

1 + 16 = c²

c = √17

√17 + √10 = 13.038

Evaluate the following integral or state that it does not exist (Calculus 2) Please show step by step explanation!

Answers

Answer:

[tex]\displaystyle \int^1_0 \dfrac{e^{\sqrt{x}}}{\sqrt{x}}\:\:\text{d}x=2(e-1)[/tex]

Step-by-step explanation:

Given definite integral:

[tex]\displaystyle \int^1_0 \dfrac{e^{\sqrt{x}}}{\sqrt{x}}\:\:\text{d}x[/tex]

Integration by substitution:

Substitute u for one of the functions to give a function that's easier to integrate.

[tex]\textsf{Let }u=\sqrt{x}[/tex]

Find the derivative of u and rewrite it so that dx is on its own:

[tex]\implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{2\sqrt{x}}[/tex]

[tex]\implies \text{d}x=2 \sqrt{x}\:\text{d}u}[/tex]

[tex]\implies \text{d}x=2u\:\text{d}u[/tex]

Use the substitution to change the limits of the definite integral from x-values to u-values:

[tex]\textsf{When }x=0 \implies u=\sqrt{0}=0[/tex]

[tex]\textsf{When }x=1 \implies u=\sqrt{1}=1[/tex]

Therefore, the limits are unchanged.

[tex]\boxed{\begin{minipage}{3 cm}\underline{Integrating $e^x$}\\\\$\displaystyle \int e^x\:\text{d}x=e^x+\text{C}$\end{minipage}}[/tex]

Substitute everything into the original integral and solve:

[tex]\begin{aligned}\implies \displaystyle \int^1_0 \dfrac{e^{\sqrt{x}}}{\sqrt{x}}\:\:\text{d}x & =\displaystyle \int^1_0 \dfrac{e^u}{u} \cdot 2u\:\:\text{d}u \\\\ & = \displaystyle \int^1_0 2e^u\:\:\text{d}u \\\\ & = 2 \int^1_0 e^u\:\:\text{d}u\\\\ & = 2 \left[ e^u\right]^1_0\\\\ & = 2 \left[e^1-e^0\right]\\\\& = 2(e-1)\end{aligned}[/tex]

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The population of a bacteria culture after t hours is given by P = 400 - 8t2. What is the rate of change at 6 hours?
1. 0
2. -56
3. -96
4. -48

Answers

The rate of change at 6 hours is -96

How to determine the rate of change?

The function is given as:

P = 400 - 8t^2

Differentiate the function

P' = -16t

Set t = 6

P' = -16 * 6

Evaluate

P' = -96

Hence, the rate of change at 6 hours is -96

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help!! what do i do?!?

Answers

Answer is A. None of these.
Reason is Quadratic and exponential graphs are both curved lines. Linear means straight line which this is not a straight line, it has two or more slopes.

A circle is shown. Angle Q R S is 84 degrees.

What is the measure of Arc Q S?

°

Answers

In the given diagram, the measure of arc QS is 168°

Calculating measure of an arc

From the question, we are to determine the measure of arc QS

The measure of the arc is the angle subtended by the arc at the center of the circle.

From one of the circle theorems, we have that

The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference


In the given diagram,

The angle subtended by arc at the circumference of the circle = 84°

∴ The angle subtended by the arc QS at the center = 2 × 84°

The angle subtended by the arc QS at the center = 168°

Hence, in the given diagram, the measure of arc QS is 168°

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Answer:  168°

Step-by-step explanation:  TRUST ME!!!  Answer is correct in Edge!  :)

The table below shows the birth rate (per 1000) per year in the United States according to data from the National Center for Health Statistics. Let x represent the number of years since 2000 with x = 0 representing the year 2000. Let y represent the birth rate per 1000 population. Write the slope-intercept form of the equation for the line of fit using the points representing 2001 and 2010. Round to the nearest hundredth.

Answers

The regression linear function, in slope-intercept form, is given by:

y = -0.07x + 14.5

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(0, 14.7), (1, 14.5), (2, 14.4), (3, 14.1), (4, 14), (5, 14.1), (6, 14.1), (7, 14.2), (8, 14), (9, 13.8), (10, 14).

Inserting these points into a calculator, the regression linear function, in slope-intercept form, is given by:

y = -0.07x + 14.5

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Answer:

y = -0.07x + 14.5

Step-by-step explanation:

Which expression represents the following statement? Multiply 6 by 3, and then subtract the quotient of 18 and 9.

A) 6 x (3 ÷ 18) + 9
B) 6 + 3 + (18 ÷ 9)
C) (6 x 3) − 18 ÷ 9
D) 6 x (3 + 18) + 9

Answers

Answer:

C) (6 x 3) - 18 ÷ 9

Step-by-step explanation:

I'll solve this question by writing down every step and doing it one by one.

1. Multiply 6 by 3

--> This will be represented as 6 x 3.

2. Subtract the quotient of 18 and 9

--> The quotient is a number resulting in a division of another number. In this case, 18 is bigger than 9, so the quotient will be: 18 ÷ 9.

--> Since we are subtracting this from the equation we got earlier, it can be expressed as (6 x 3) - (18 ÷ 9)

This equation is the same as C) (6 x 3) - 18 ÷ 9, so C is our final answer.

need some help with this​

Answers

Answer:XDDXXDXD

DXDXXDXDDXDXDXDXXDDXDEDXXDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-XDDXDXDXstep explanation:

seria tu cacá XDXDXDXDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Hello its urgent i really need help its a math question! i will give brainlist thank you

Answers

Translation of 2 units to the right and 1 unit up, followed by a rotation of 180° about the origin.

We know that we will eventually rotate it 180° about the origin due to the direction it’s facing. If we were to reflect it, the triangle would wind up either sideways or upside down unless we reflected it across both the x axis then the y axis. However, reflecting over both axises is the same as rotating 180° about the origin. Before we can rotate the triangle though, we need to translate it first. Let’s take point V at (2,2). If we first translate it up 1 and right 2, it maps to (4,3). If we then rotate it 180° about the origin, point V will map to (-4,-3), which is the correct point V”. Since we already determined that the orientation of the triangle is correct, we can assume the rest of the points will map correctly as well.

please help 14 points ASAP




Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities. 48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80 Notice that the temperatures are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary
Minimum:
Lower quartile:
Median: Upper quartile:
Maximum:
Interquartile range:

Answers

The desired measures for the data-set is given by:

Minimum: 48Lower quartile: 54.Median: 63.5.Upper quartile: 74.Maximum: 80.IQR: 20

How to find the five number summary and interquartile range of the data-set?

The five number summary is composed by the measures explained below, except the IQR.

The minimum value is the smallest value from the data-set, as the maximum value is the greatest value of the data-set.The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third quartile and the first quartile.

In this problem, we have that:

The minimum value is the smallest value, of 48.The maximum value is the smallest value, of 80.The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.The first quartile is the median of the five elements of the first half, hence it is of 54.The third quartile is the median of the five elements of the second half, hence it is of 74.The IQR is the difference between the quartiles, hence 74 - 54 = 20.

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Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes.

Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation?

Answers

The system of linear equations represents the situation is;

x + y = 125

x + y = 1255x + 8y = 775

Simultaneous equation

Simultaneous equation is an equation in two unknown values are being solved for at the same time.

let

number of quick washes = xnumber of premium washes = y

x + y = 125

5x + 8y = 775

From equation (1)

x = 125 - y

5x + 8y = 775

5(125 - y) + 8y = 775

625 - 5y + 8y = 775

- 5y + 8y = 775 - 625

3y = 150

y = 150/3

y = 50

Substitute y = 50 into

x + y = 125

x + 50 = 125

x = 125 - 50

x = 75

Therefore, the number of quick washes and premium washes Monica’s school band had is 75 and 50 respectively.

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Answer:

A. 5x + 8y = 775 and x + y =125

Step-by-step explanation:

PLEASE HELP and EXPLAIN I will mark the brainliest if two people type the answer I will choose the best.

Answers

Answer:

C

Step-by-step explanation:

Let's review some sets of numbers.

Natural numbers: 1, 2, 3, 4, ...

The natural numbers are the counting numbers. You normally start counting with 1, not 0, and you only count whole numbers.

Whole numbers: 0, 1, 2, 3, 4, 5, ...

The whole numbers are the counting numbers with the addition of zero. There are no negative numbers in the whole numbers.

Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...

The integers are the natural numbers, plus zero, plus the negatives of the natural numbers. All numbers are whole with no decimal part.

Rational numbers

The rational numbers are all numbers that can be written as a fraction of integers. For example, 1 can be written as 3/3, so 1 is a rational number. All natural numbers, whole numbers, and integers are rational numbers. Other rational numbers are numbers that are not whole, such as 2.5, 7/8, 1/4, etc. These numbers can be written as fractions of integers. Rational numbers written as decimal numbers will either be an integer, a terminating decimal, or a non-terminating, repeating decimal.

Up to here, each new set includes the previous set.

Now things change. If a number is rational, it is not irrational.

If a number is irrational, it is not rational.

Irrational numbers

Irrational numbers are always non-terminating, non-repeating decimals. They cannot be written as fractions of integers. Examples: √2, π

Now let's look at this problem.

We have a negative decimal number. The bar above the 12 means the digits 12 are repeating. This number can also be written as -0.121212...

Since our number is a non-terminating, repeating decimal, it is a rational number.

Answer: C

algebra Expression •x minus x​

Answers

The answer is 0.

The expression in algebraic form is :

x - x0

We know subtracting a term from its equivalent term will be 0.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation: }[/tex]

“[tex]\textsf{x minus x}[/tex]”


[tex]\huge\textbf{Simplifying it: }[/tex]

[tex]\textsf{x minus x}[/tex]

[tex]\mathsf{= x - x}[/tex]

[tex]\mathsf{= 1x - 1x}[/tex]

[tex]\mathsf{= 0x}[/tex]

[tex]\mathsf{= 0}[/tex]

[tex]\huge\textbf{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\frak 0}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Can someone tell me what this symbol means? Ty!!!

Answers

Answer:

Angle symbol

Angle ACB

Angle ACE

Angle DCE

x-1/x-2+x+3/x-4=2/(x-2).(4-x)

Answers

The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

According to the statement

we have given that the equation and we have to prove that the given answer is a correct answer for those equivalent equation.

So, The given expression are:

[tex]\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}[/tex]

And we have to prove the answer.

So, For this

[tex]\frac{x-1}{x-2} +\frac{x+3}{x-4}[/tex]

[tex]\frac{({x-1}) ({x-4}) +({x+3})({x-2})} {(x-2) (x-4)}[/tex]

Then the equation become

[tex]\frac{x^{2} -4x -x +4 + x^{2} -2x + 3x -6 }{(x-2) (x-4)}[/tex]

Now solve it then

[tex]2x^{2} - 4x -2 / (x-2) (x-4)[/tex]

Now take 2 common from answer then equation become

[tex]\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}[/tex]

Hence proved.

So, The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

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The second highest point measured above sea level is the summit of
Kangchenjunga which is 8,586m above sea level and the lowest point is
challenger deep at the bottom of Mariana Trench which is 10,911 m below
the sea level. What is the vertical distance between these two points? Collect
some more information about these two points and present them withimages.

Answers

Answer:

19497 m

Step-by-step explanation:

The vertical distance between the given points is:

10911 + 8586 = 19497 m

Answer:

19,497m

Step-by-step explanation:

8,856-(-10,911)

=8856+10,911

=19,497m

what is the value of x= and y=

Answers

Answer:

x = 18

y = 18

Step-by-step explanation:

We are given a right triangle (notice the 90 degree angle), with one of the angles being 45°.

We also know that the hypotenuse (the side opposite of the 90° angle) is 18√2.

We want to find the value of x and y.

First, let's figure out what the value of the other angle is.

The angles in a triangle all add up to 180 degrees.

Let's call the value of the angle we don't know s.
s + 45 + 90 = 180

Add 45 and 90 together.

s + 135 = 180

Subtract 135 from both sides.

s = 45

So the value of the other angle is 45 degrees.

When a right triangle is a 45-45-90 triangle (the numbers referring to the measures of the degrees), there is actually something special about it; if the legs (the sides that make up the 90 degree angle) have the value a (they would both be congruent because a 45-45-90 triangle is isosceles), then the hypotenuse will be a√2.

Keeping this in mind, let's solve for a.

Set 18√2 equal to a√2.

18√2=a√2

Divide both sides by √2.

18 = a

The value of a, aka the legs is a.

Both x and y would be equal to a in this case.

Therefore, x = 18, and y = 18.

i need the answer for number 13

Answers

Answer:

The answer is 1. This table is an example of the principle of independence.

Step-by-step explanation:

This means any Trade activity is performed without reliance on another party.

He got the perfect answer to his question and he can get his answer without any other information.

Please helppp!! i will hand brainlist and 19 points aswell thank you :)

Answers

I am not sure but when I calculated answer is √52...........

Answer:

[tex]\sqrt{52}[/tex]

Step-by-step explanation:

You would use the Pythagorean Thereon to find the answer.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]  You can You can draw a right triangle from the two points.  One way you could do this is draw a line straight down from N and stop when you get down to N'.  Then continue drawing the line horizontally until it gets to N'.  Connect N' to N and will have drawn a right triangle.

The vertical height of your triangle would be the difference of you y values and the horizontal distance would be the difference between your x values.

9 - 3 = 6

6 - 2 = 4

[tex]6^{2}[/tex] + [tex]4^{2}[/tex] =[tex]c^{2}[/tex]

36 + 16 = [tex]c^{2}[/tex]

52 = [tex]c^{2}[/tex]

[tex]\sqrt{52}[/tex] = c

If the area of the given trapezoid is 1,188m^2, find the value of x.

Answers

Answer: x = 52 m

Step-by-step explanation:

     The formula we will use, which solves for the area of a trapezoid, is [tex]a=\frac{a+b}{2} h[/tex] where a is a base, b is a base, and h is the height.

    We will input the known values, then solve for x.

         [tex]\displaystyle a=\frac{a+b}{2} h[/tex]

         [tex]\displaystyle 1,188\;\text{m}^2=\frac{36\;\text{m}\;+x}{2}*27\;\text{m}[/tex]

         [tex]\displaystyle 1,188\;\text{m}^2=(18\;\text{m}+\frac{x}{2})*27\;\text{m}[/tex]

         [tex]\displaystyle 1,188\;\text{m}^2=486\;\text{m}+\frac{27x}{2}[/tex]

         [tex]\displaystyle 702\;\text{m}^2=\frac{27x}{2}[/tex]

         [tex]\displaystyle 1,404\;\text{m}^2=27x[/tex]

         [tex]\displaystyle x=52\;\text{m}[/tex]

Machine a can make 350 widgets in 1 hour, and machine b can make 250 widgets in 1 hour. if both machines work together, how much time will it take them to make a total of 1000 widgets?

Answers

If machine a can make 350 widgets in 1 hour and machine b can make 250 widgets in 1 hour then by forming equation we will get that both machines have to work for one hour and 40 minutes to make 1000 widgets.

Given that machine a can make 350 widgets in 1 hour, and machine b can make 250 widgets in 1 hour.

How much time will both machines take to make 1000 widgets?

Suppose the time taken by both machines be x hours. Time is equal because both the machines need to work together.

According to the question the equation will be as under:

350x+250x=1000

600x=1000

x=1000/600

x=10/6

x=5/3

x=1.67

Converting 0.67 to minutes 0.67*60=40.2

Adding will result 1 hour and 40 minutes.

Hence if machine a can make 350 widgets in 1 hour and machine b can make 250 widgets in 1 hour then by forming equation we will get that both machines have to work for one hour and 40 minutes to make 1000 widgets.

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Select the correct answer.
Find the inverse of function f.
f(c) = 9x + 7

Answers

Answer:

B.) f⁻¹(x) = (1/9)x - 7/9

Step-by-step explanation:

Remember, f(x) is another way of writing "y". The inverse can be found by swapping the positions if the "x" and "y" variables and then solving to isolate the "y" variable.

f(x) = 9x + 7                            <----- Original function

y = 9x + 7                               <----- Substitute f(x) for "y"

x = 9y + 7                               <----- Swap variable positions

x - 7 = 9y                                <----- Subtract 7 from both sides

(x - 7) / 9 = y                           <----- Divide both sides by 9

(1/9)x - 7/9 = y                      <----- Divide each term individually by 9

The inverse function is represented by the symbol f⁻¹(x).

Consider this quadratic equation.
2x²2²-1=3x+4
Which equation correctly applies the quadratic formula?
COA
OB.
OC.
OD.
2=
H=
H=
-(-3) ± √(-3)²-4(2)(-5)
-(-3);
2
-(-3) ± √(-3)²-4(-5)
(2)
-(-3) ± √(-3)²(2)(-5)
(2)
-(-3) ± √(-3)²-4(2)(-5)
2(2)

Answers

Answer:

-(-3) ± √(-3)^2 - 4(2)(-5) / 2(2)  (the last choice).

Step-by-step explanation:

Im ignoring the 2^2 in the equation

The equation transforms to

2x^2 - 3x - 5 = 0    (standard form)

So x = -(-3) ± √(-3)^2 - 4(2)(-5) / 2(2)

What is the domain of the function graphed below? x<7 x less than or equal to 7 -2 less than or equal to x less than or equal to 3 all real numbers

Answers

The domain of the function shown in the graph is x < 7

How to determine the domain of the function shown in the graph?

The complete question is added as an attachment

The domain is the set of x values the function can take

From the graph, we have the following x values

Minimum x value = Negative infinityMaximum x value = 7 (with an open circle)

This means that the domain of x in the graph is  x < 7

Hence, the domain of the function shown in the graph is x < 7

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Anja collected data about the number of dogs 9th-grade students own. She created this histogram to represent the data and determined that it is skewed right.

A graph shows number of dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis. 0 dogs at frequency 20. 1 dog at frequency 15. 2 dogs at frequency 12.
Which statement is true about Anja’s claim?

Answers

Anja is correct that the histogram is skewed to the right

According to the statement

we have given that the anja collected the data and created the histogram and after analyzing we  have to tell that her claim is correct or not.

So, she collected the data:

A graph shows number of dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis. 0 dogs at frequency 20. 1 dog at frequency 15. 2 dogs at frequency 12.

we know that the

Histogram is is an approximate representation of the distribution of numerical data.

and after making the histogram we see that

The histogram is skewed to the right because there is less data on the right side.

So, Anja is correct that the histogram is skewed to the right.

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Answer:

D: She is correct; the histogram is skewed to the right because there is less data on the right side.

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