If John can repair one machine every 2 hours, write a function h(n) for the hours needed to repair n machines.

Answer:

5416.96 square yards

Step-by-step explanation:

To find the maximum possible area, increase the dimensions by 15%, since the measurement error may be up to 15%.

512(1.15) = 588.8

8(1.15) = 9.2

Find the area using the area formula, A = lw

Plug in the length and width:

A = lw

A = (588.8)(9.2)

A = 5416.96

So, the maximum possible area is 5416.96 square yards

Answer:

[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]

Answer:

Area of the figure = 200 cm²

Step-by-step explanation:

Area of rectangle A = Length × Width

                               = 5×9

                               = 45 cm²

Area of rectangle B = 5 × 11

                               = 55 cm²

Area of rectangle C = 5 × 9

                               = 45 cm²

Area of rectangle D = 5 × 7

                               = 35 cm²

Area of rectangle E = 10 × 2

                                = 20 cm²

Total area of the figure = 45 + 55 + 45 + 35 + 20

                                    = 200 cm²

Answer:

your answer is option B

Answer:

Your answer came out to be B.

Answer:

(T - 1)(x, y) = (x - 4, y - 3)

Step-by-step explanation:

For a given transformation:

T(x, y) = (x', y')

the inverse transformation is defined by:

(T - 1)(x', y') = (x, y)

So, if our transformation is:

T(x, y) = (x + 4, y + 3)

Then for the inverse transformation, we should have:

(T - 1)(x + 4, y + 3) = (x, y)

So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.

Writing the inverse transformation for a generic (x, y) point, we get:

(T - 1)(x, y) = (x - 4, y - 3)

Answer:

for each x, the difference in the y value it has an origin at (0,5)

Step-by-step explanation:

if x equals 0, y equals 5.

if x equals 1, y equals 7 and so on

if x equals -1, y equals -5 and so on.

Answer:

I dont know to be honest I dont remember so yeahmmmm ummmmm

Answer:

numerator = 2 and denominator is 4

Step-by-step explanation:

let the denominator be x

numerator = x-2

according to the question

[tex]\frac{x-2}{x} = \frac{1}{2}[/tex]

do cross multiplication

x*1 = 2(x-2)

x = 2x -4

4 = 2x - x

4 = x

therefore denominator is 4

numerator = x-2

=4-2

=2

Answer:

[tex]y=x+9[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=-x+1[/tex]

This equation can be written as [tex]y=-1x+1[/tex]. Now, we can identify clearly that -1 is the slope of this line. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're calculating for is [tex]-(\frac{1}{-1} )[/tex], or just 1.

Plug 1 into [tex]y=mx+b[/tex] as the slope:

[tex]y=1x+b[/tex]

[tex]y=x+b[/tex]

2) Determine the y-intercept (b)

Recall that the y-intercept is the value of y when the line crosses the y-axis. It occurs when x is equal to zero.

The given point is (0,9), meaning that y is 9 when x is 0. Therefore, the y-intercept is 9. Plug this into [tex]y=x+b[/tex]:

[tex]y=x+9[/tex]

I hope this helps!

Answer:

i don't know its hard

Step-by-step explanation:

SORRY

We will see that the total volume of the fort of boxes is 70.75 ft^3

For a rectangular prism of length L, width W, and height H, the volume is:

V = L*W*H

Then we can find the volume of the 3 boxes shown.

The first one has dimensions of 3ft by 2ft by 2.5ft, so the volume is:

V = 3ft*2ft*2.5ft = 15ft^3

The second box has dimensions of 3ft by 1.75ft by 3ft, so the volume is:

V' = 3ft*1.75ft*3ft = 15.75 ft^3

The last box has dimensions of 4ft by 4ft by 2.5ft, so the volume is:

V'' = 4ft*4ft*2.5ft = 40ft^3

So the total volume of the fort is:

V + V' + V'' = 15ft^3 +  15.75 ft^3 + 40ft^3 = 70.75 ft^3

If you want to learn more about volume, you can read:

https://brainly.com/question/1972490

Answer:

{a universal set is a set which contains all objects, including itself}

Step-by-step explanation:

a) you will create two circle, crossing over each other, and shade both the "A" the "B" and the middle space.

b) (AUB) means the same thing as universal set, but its called union, infact if you draw this out in Venn Diagrams this will be the exact same as answer (a).

c) A n B : mean A 'intersection' with B, so here you will only shade the area where both circles meet.

d) i am not sure of this one, sorry

Answer:D

Step-by-step explanation:

Answer:

The lateral area of a cone is 141.4 square centimeters

Step-by-step explanation:

Mathematically, we have the formula for the lateral area of a cone as;

A = pi * r * l

where r is the radius of the cone and l

is the slant height of the cone

Mathematically, the radius is simply half the measure of the diameter

we have that as 10/2 = 5 cm

So substituting these values;

A = 22/7 * 9 * 5

A = 141.4 square centimeters

Answer:

~ 97 ft

Step-by-step explanation:

cos = adj/hyp

cos61 = adj/200

200 * cos61 = adj

adj = 96.961924049267406

~ 97 ft

The foot of the cable is 95 feet away from the base of the tree.

Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle.

We have,

The angle between the ground and the cable is given as 61º.

In a right triangle, the side opposite the angle (in this case, the height of the tree) is related to the hypotenuse (the length of the cable) and the adjacent side (the distance from the foot of the cable to the base of the tree) by the trigonometric function cosine.

Cosine(angle) = adjacent/hypotenuse

Cos(61º) = adjacent/200 ft

adjacent = Cos(61º)x200 ft

adjacent ≈ 0.475 x 200 ft

adjacent ≈ 95 ft

Therefore, the foot of the cable is 95 feet away from the base of the tree.

Learn more about Trigonometric Ratio here:

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Answer:

t = {(v - s) + ab} / a

Step-by-step explanation:

a = (v - s) / (t - b)

Make t the subject of the equation

a = (v - s) / (t - b)

Cross product

a * (t - b) = (v - s)

at - ab = (v - s)

Add ab to both sides

at = (v - s) + ab

t = {(v - s) + ab} / a

Answer:

B

Step-by-step explanation:

Given

5 [tex]\frac{11}{40}[/tex]

= [tex]\frac{5(40)+11}{40}[/tex]

= [tex]\frac{200+11}{40}[/tex]

= [tex]\frac{211}{40}[/tex] → B

Answer:

b

Step-by-step explanation:

10.5 rounded to 14.25 =15 so that is called natural number

Step-by-step explanation:

my horses are working and in the image above

The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

Then Value of b is - 12.

Option(B) is correct answer.

An expression is a mathematical phrase combining numbers and/or variables using mathematical operations. Both sides of an equation are expressions.

According to the question,

The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

[tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]

⇒ [tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]

⇒[tex]2x+x^{2} -14x+49=x^{2} +bx+49[/tex]

⇒ [tex]x^{2} -12x+49=x^{2} +bx+49[/tex]

⇒[tex]-12x=bx[/tex]

⇒ [tex]b=-12[/tex]

∴  [tex]b=-12[/tex]

Hence, the expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

Then Value of b is - 12.

Option(B) is correct answer.

Learn more about expression here

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Answer:

1080

Step-by-step explanation:

(n-2) × 180

(8-2) × 180= 1080

Answer: We will be working with the numbers 1-4, you can change the numbers to anything, just change the math.

The mean is the "average" of a set of numbers. Add up ALL the numbers, and then divide by how many numbers there are.

Ex. 1+2+3+4 then, 10/4 =2.5

The mode is the number that occurs most frequently in a set of numbers.

Ex. 1, 2, 2, 2, 3, 4, 2, 2, 4, : The mode would be 2.

The range is the difference between the smallest and highest numbers.

Ex. 1, 2, 3, 4, ,3, 2, 3, 4, : Put all the numbers in order, then subtract highest from lowest.

1,2,2,3,3,3,4,4

4-3=1 The range would be 1.

Answer:

Answer:

Step-by-step explanation:

I don't know if, just because I'm a high school math teacher, I way over-think things, but the method I used to come to the answer here is crazy and convoluted...but it works. Follow me here while I explain it.

I put that drawing you have there in a coordinate plane and made a point D at the end of the segment that begins with A; made a point E at the end of the segment that begins with B. Putting that into a coordinate plane with E at the origin gives A coordinates of (0, 2); B (1, 2); D (2, 1). We need to find the coordinates of C to use later. That's the first job.

When you put this into a coordinate plane, it allows you to write the equations of the segments AD and BE.

AD: y = -1/2x + 2

BE: y = 2x

If you set these equal to each other, you can see where the lines intersect (the coordiantes of this point) by solving for x and y.

-1/2x + 2 = 2x and

2.5x = 2 so

x = .8

And if x = .8, we can sub that into either equation to find y:

y = 2(.8) so

y = 1.6

So the coordinates of C are (.8, 1.6).

Now we can find the lengths of each of these segments AC and BC. We already know that the length of segment AB is 1.

Find the lengths of each of these segments using the coordinates for each in the distance formula. The lengths are as follows:

AC = .8944

BC = .4472

This allows me to use the Law of Cosines to find the measure of angle A.

Angle A = 26.56°

Now I can use the area formula for a triangle that says

[tex]A_{triangle}=\frac{1}{2}AB*ACsinA[/tex] and

[tex]A=\frac{1}{2}(1)(.8944)sin26.56[/tex] so

A = .1999 units squared

Answer:

its 6

Step-by-step explanation:

Answer:

Option D, 5 ounces

Hope this helps!

Answer:

Step-by-step explanation:

The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.

Write a system of inequalities that can be used to represent this situation.

The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer

Step-by-step explanation:

base is 12, hypotenuse is 20

so X² is h²-b²

so X=16

Answer:

clover

Step-by-step explanation:

because

The measure of angle ∠x = 28°.

We have a geometrical figure [Refer to the image attached in the end].

We have to prove that x = 28°.

The measure of straight angle is 180°.

According to the question -

Line DLG is a Straight line. Therefore -

2∠x + 124° = 180°

2∠x = 56°

∠x = 28°

Hence Proved.

To solve more questions on finding unknown angles, visit the link below-

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Answer:

the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)

Step-by-step explanation:

after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)

after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)

after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)

just need an answer                            

Answer:

The height of the water increases 2 inches per minute. Or A

Step-by-step explanation:

Edge

Answer: A ( The height of the water increases 2 inches per minute)

Answer:

the fourth one is correct