Directions: Answer the following questions, showing all pertinent work. Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank. 1. Complete the transformation statement for moving Paul’s pole barn. (x, y)→(x + _______ , y + _______ ) —continue to the next page—

The correct statement is a. There are 1,000,000 milliliters in a kiloliter.

A kiloliter is a unit of volume equal to 1,000 liters. One liter is equal to 1,000 milliliters. Therefore, one kiloliter is equal to 1,000 x 1,000 = 1,000,000 milliliters.

Answer:

12 large books

Step-by-step explanation:

When we're solving with scale factors, we either divide or multiply.

If the shape becomes larger, we multiply to get the new length.

If the shape becomes smaller, we divide to get the new length.

We're given:

Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.

2.5 x 6 = 15

Therefore, the missing side length is 15 units.

15 units

Answer:

6

Step-by-step explanation:

This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:

x^2-2y=3 - (x-2y=3) => x^2-x=0

Then we can factor the resulting equation and find the values of x:

x^2-x=0 => x(x-1)=0 => x=0 or x=1

Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:

x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1

Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:

x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1

Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.

×Answer: 400

Step-by-step explanation: \(20×20=400\)

Answer: 1/4 or 1/2.

Step-by-step explanation:

Answer:

a. 1/6

Step-by-step explanation:

I just counted the 12 outcomes and the 2 same sex possibilities, which would turn to 2/12, and then simplified it into 1/6. I hope this is right, I am very sorry if it isn't.

Answer:

The answer is D

Step-by-step explanation:

Answer:

110 degrees

Step-by-step explanation:

ABL + ABC = 180

BED + ABC = 180 ( BED = ABL )

BED = 180 - ABC = 180 - 70 = 110

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer:

512.5 dollars

Step-by-step explanation:

500*2.5%=12.5

find profit

500+12.5=512.5

add profit to original balance

Answer:

First ones right

Second one wrong

Third one wrong

Fourth one right

Fifth one right

Step-by-step explanation:

I'm pretty sure this is right lol

Answer:

Step-by-step explanation:

234 is the answer

The total area to be painted is 8,316 square inches.

The bench has a rectangular base with dimensions 63 in by 14 in. The height of the bench is 54 in. The two faces that rest on the ground do not need to be coated with paint, so the total area to be coated is the sum of the areas of the four remaining faces.

The area of one of the longer faces is:

63 in × 54 in = 3,402 in²

The area of the other longer face is the same, so the total area of the longer faces is:

2 × 3,402 in² = 6,804 in²

The area of one of the shorter faces is:

14 in × 54 in = 756 in²

The area of the other shorter face is the same, so the total area of the shorter faces is:

2 × 756 in² = 1,512 in²

The total area to be coated with paint is the sum of the areas of the four remaining faces:

6,804 in² + 1,512 in² = 8,316 in²

Therefore, the total area to be coated with paint is 8,316 square inches.

Find out more on total area here: https://brainly.com/question/28020161

#SPJ1

Answer:

x = 28 and x = 0

Step-by-step explanation:

Find all solutions for x by breaking the absolute value into the positive and negative components.

Answer:

x=3

Step-by-step explanation:

Answer:

this is the simplest form

Step-by-step explanation:

since there is a variable in the fraction, you can't simplify it any further until we know that term.

Answer:

-7y/2

Step-by-step explanation:

-7y/2 cannot be simplified any further as there are no common factors of -7y and 2

Answer:

Step-by-step explanation:

Substituting x and y values into the equations, we can get the equation

y = 7 -3x

slope: -3

Answer:

y=7-3x; m= -3; b= 7

Step-by-step explanation:

First to find the slope you use the formula m(slope)= (y2-y1)/(x2-X10

to get the values for (x1,y1) you can pick any pair of x and y values from the table and the same goes for (x2,y2). After that you plug the values into the formula for slope which gives you -3.

For example: (x1,y1) can be (0,7) and (x2,y2) can be (1,4)

m=(4-7)/(1-0)

m= -3/1

m= -3

From there finding the y value is very simple, pick any pair of x and y values for the table and plug them into the equation for slope intercept form, y=mx+b plug the x value in for x, the y value in for y, and the slope we got earlier in for m. b is the variable for the y intercept, which is what we are now trying to find. so once we have plugged in all of our values, we just simplify the equation

(0,7)

y=mx+b

7= -3(0)+b

7= b

Now that we have both our slope and y intercept we can just plug them into y=mx+b and then we have the equation of the relationship;

y=7-3x which can also be written as y= -3x+7

Answer:

a

Step-by-step explanation:

just plug in

Answer:

4 m

Step-by-step explanation:

The formula for the volume of a cylinder is πr^2 x h

r = radius    h = height

So, with this you can reverse it to find the radius since you know the height.

96π/6 = 16π

√16π = 4π

radius = 4 m

Answer:

4 meters

Step-by-step explanation:

Given:

⇒ Volume of cylinder: πr²h

Substituting the height and the volume in the formula:

⇒ Volume of cylinder: πr²h

⇒ 96π meters³ = (π)(r²)(6)

Dividing both sides by 6π to isolate "r" (Radius):

⇒ 96π/6π = (π)(r²)(6)/6π

⇒ 96π/6π = (r²)

⇒ 96/6 = (r²)

⇒ 16 = (r²)

Taking a square root both sides:

⇒ √16 = √(r²)

⇒ √4 x 4 = √(r x r)

⇒ 4 meters = r

The measure of the radius is 4 meters.

Answer:

its 10

Step-by-step explanation:

bc I like don't know

Answer: it could be 2cm,3 inches or 1cm, 6inches or 1cm, 12inches

Step-by-step explanation:

so draw a rectangle with the 1cm, 12inches like the one 1cm, 6inches just 2xthat their factors in the scale uint

Answer:

65 years old.

Step-by-step explanation:

Define the variables:

Given:

Create two equations with the given information and defined variables:

\(\begin{cases}y = 13x\\y + 1 = 11(x + 1)\end{cases}\)

Substitute the first equation into the second equation and solve for x:

\(\implies 13x+1=11(x+1)\)

\(\implies 13x+1=11x+11\)

\(\implies 2x=10\)

\(\implies x=5\)

Substitute the found value of x into the first equation and solve for y:

\(\implies y=13(5)\)

\(\implies y=65\)

Therefore, the age of the grandparent now is 65 years.

Given statements:

Let us represent the character's age by variables. Assuming that the grandparent's age is G and the granddaughter's age is D. Now, using the obtained variables and the statements, create two equations that represents the provided statements. Then, we can compare the equations and simplify if needed to determine the value of the variables.

    \(\implies \left[\begin{array}{ccc} \text{G = 13D} \\ \text{G + 1 = 11(D + 1)}\\\end{array}\right]\)

Since G = 13D is in the form of direct variation, we can substitute the value of G into the second equation to determine the value of D (the age of the granddaughter). Then, we can substitute the value of D into any of the two equations to determine the age of the grandparent.

To solve for D, simplify both sides of the equation by using the distributive property. We need to simplify both sides of the equation so that we can isolate the variables on the other side of the equation.

Isolate the variables on one side. This step is necessary because it can cancel out the extra variable and simplify the other variable. To do this, you can either add or subtract on both sides of the equation.

Note: I am subtracting 11D on both sides of the equation since it is my preference. But you can also subtract 13D on both sides of the equation.

To further isolate 2D, we need to subtract 1 on both sides of the equation to cancel out the 1 on the left-hand side of the equation. Then, we have:

But the variable is still not completely isolated since there is a coefficient being multiplied to D. To isolate the coefficient from the variable, we will need to divide the coefficient (2) on both sides of the equation.

Then, simplify both sides of the equation. Eventually, we will have a variable on one side and a numerical value on the other side.

Now we know the age of the granddaughter, we can substitute the age of the granddaughter into one of the equations and simplify it to determine the age of the grandparent. I am going to choose G = 13D since it is easier to simplify. Then, we will substitute the value of D into the equation.

Therefore, the age of the grandparent is 65 years.

Answer:

Step-by-step explanation:

la b

Answer:

B.)25.12

Step-by-step explanation:

We are simply finding the perimeter of the cake

.Perimeter: π × diameter

Perimeter: 3.14 × 8

Perimeter: 25.12 inches

Answer:

A' (3,-3) B' (6,-9) C' (9,-3)

Step-by-step explanation:

multiply each of the numbers by 3 (scale factor)

Answer:

y=kx

2=k.-4

k=-1/2

then

y=-1/2×20

y=-10

Answer:

y = - 10

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 2 when x = - 4, that is

2 = - 4k ( divide both sides by - 4 )

\(\frac{2}{-4}\) = k, that is

k = - \(\frac{1}{2}\)

y = - \(\frac{1}{2}\) x ← equation of variation

When x = 20, then

y = - \(\frac{1}{2}\) × 20 = - 10

Answer:

The answer would be 33x - 15

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

\(\large\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}6&2\\\cline{1-2}12&4\\\cline{1-2}18&6\\\cline{1-2}\end{array}\)

See attachment for the graph of the equation.

Step-by-step explanation:

Given equation:

\(y=\dfrac{1}{3}x\)

To complete the table, find the corresponding values of y by substituting each given value of x into the equation.

\(x=6 \implies y=\dfrac{1}{3}(6)=\dfrac{6}{3}=2\)

\(x=12 \implies y=\dfrac{1}{3}(12)=\dfrac{12}{3}=4\)

\(x=18 \implies y=\dfrac{1}{3}(18)=\dfrac{18}{3}=6\)

Therefore the completed table is:

\(\large\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}6&2\\\cline{1-2}12&4\\\cline{1-2}18&6\\\cline{1-2}\end{array}\)

To graph the equation, plot the ordered pairs on the given coordinate plane:

Draw a straight line through the points.  (See attachment).

Answer:

87

Step-by-step explanation:

3x9+10x36/6

multiply 3x9 and divided 36/6

27+10x6

27+60

87

The solution to the expression 3 * 9 + 10 * 36/6 is 87

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

3 * 9 + 10 * 36/6

Evaluate all the products in the expression

so, we have the following representation

3 * 9 + 10 * 36/6 = 27 + 360/6

Evaluate all the quotients in the expression

so, we have the following representation

3 * 9 + 10 * 36/6 = 27 + 60

Lastly, we have

3 * 9 + 10 * 36/6 = 87

Hence, the solution is 87

Read more about expressions at

https://brainly.com/question/30492964

#SPJ6