MATHEMATICS HIGH SCHOOL

A pest control company sprays insecticide around the perimeter of a 460 ft by 320 ft building. If the spray costs $0.12 per foot, how much did the job cost to the nearestdollar?
OA. 5187
OB. 51.766
OC. $147
OD. 594

Answers

Answer 1

Answer:

Answer:

$187.20

Step-by-step explanation:

P=2x+2y

P=2(460')+2(320')

P=920'+640'

P=1560'

Cost is $0.12 per foot we have 1560 feet

1560 X 0.12 = $187.20

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The length of a rectangle is twice the width. The perimeter of the rectangle is 24 feet. What is the length of the rectangle? Let x = the width of the rectangle. Which let statement would you use for the length?

Answers

A) L = 2*W
B) 2*L + 2*W = 24
Substituting A into B
2*2*W + 2*W = 24
6W = 24
W=4
L=8

Write the ratio in simplest form.22 pencils to 44 pens
o 1 pencil : 2 pens
o 2 pencils : 4 pens
o 2 pencils : 1 pen

Answers

It is the first option, 1 pencil to 2 pens

Answer:1:2

Step-by-step explanation:22 is for the pencil and 44 is for the pen. So 22 will cancel its self 1 and will cancel 44 two times

If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)).

Answers

Answer:

The value of f(g(3)) is 23.

Step-by-step explanation:

The given functions are

$f(x)=2x+3$

$g(x)=x^2+1$

We have to find the value of f(g(3)).

Substitute x=3 in the function g(x) to find the value of g(3).

$g(3)=3^2+1=9+1=10$

$f(g(3))=f(10)$ [g(3)=10]

Substitute x=10 in the function f(x) to find the value of f(10).

$f(10)=2(10)+3=20+3=23$

Therefore the value of f(g(3)) is 23.

Hello,

f(g(3))=f(3²+1)=f(10)=2*10+3=23
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A shipping carton for a rolled-up poster has the shape of a triangular prism. Each end of the carton is a triangle with a base 6 inches long and a height of 5 inches. The length of the carton is 32 inches. If you answer we can chat ( : and I'll thank you in a big way!

Answers

I am guessing you are wanting to find the volume.

Volume= area of cross-section × length

The area of the cross-section is the triangle is 15 cm². 15 cm² × 32cm is 480cm³. Therefore the answer is 480cm³

If you are finding the surface area, the two triangles add up to 30cm. Then each rectangle is 160cm. There are 3 rectangles and 160x3= 480. 480+30= 510cm.

The surface area is 510cm and the volume is 480cm³.

Megan draws a triangle on coordinate axes. She reflects the triangle across the y-axis and then translates it 5 units to the right. Which statement is true about the triangle formed from these transformations?A. It will be larger than the original triangle
B. It will be smaller than the original triangle
C. It will be congruent to the original triangle
D. It will be a different shape then the original triangle

Answers

Answer C: It will be congruent to the original triangle. Reflections and translations do not affect the size of a shape, only it’s position and the way it is viewed.

Final answer:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.

Explanation:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.

When a figure is reflected across the y-axis, its shape remains the same, but its orientation is flipped. Then, by translating the reflected triangle 5 units to the right, we are simply shifting it horizontally without changing its size or shape.

Therefore, the statement that is true about the triangle formed from these transformations is C. It will be congruent to the original triangle.

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What number multiplied by itself 4 times equals 256

Answers

The required number that, when multiplied by itself 4 times, equals 256 is 4.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

To determine the number that, when multiplied by itself 4 times, equals 256, we can take the fourth root of 256.

The fourth root of 256 can be expressed mathematically as:

x⁴ = 256

Taking the fourth root of both sides:

x = ⁴√256

x = ⁴√(4x4x4x4)

x = 4

So the number that, when multiplied by itself 4 times, equals 256 is 4.

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The number when multiplied by itself four times, equals 256, is 4.

To find the number that, when multiplied by itself four times, equals 256, we need to find the fourth root of 256.

The fourth root of a number is the number that, when raised to the power of 4, gives the original number. Mathematically, it can be represented as:

x⁴ = 256

To solve for x, we can take the fourth root of both sides of the equation:

∛(x⁴) = ∛256

Since the fourth root (∛) is the inverse operation of raising to the power of 4, it cancels out the power of 4:

x = ∛256

Calculating the cube root (∛) of 256, we find that x equals 4:

x = 4

Therefore, the number when multiplied by itself four times, equals 256, is 4.

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