Calculate the surface area of sphere with a radius of 5 inches. (4πr2)

Answers

Answer 1
Answer: 4(3.14) (5) squared

4 (3.14 ) ( 25)

the answer is 314

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Graph the function. Identify the vertex and axis of symmetryf(x) = –x2 – x + 2
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Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5x Shop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental?

Donald bought a box of golf balls for $9.32. There were 18 golf balls in the box.About how much did each golf ball cost? Rename the decimal dividend as a whole number that is
compatible with the divisor to estimate the quotient.
Each golf ball costs about $

Answers

Answer:

$0.51

Step-by-step explanation:

each golf ball would cost $0.51

A scale drawing of an office space uses a scale of 2 inches in 3 yards the scale drawing has an area of 16 in.² what is the area of the actual office space

Answers

Answer:

36 Square Yards

Step-by-step explanation:

The Scale Drawing uses a ratio

2 Inches : 3 Yards

Therefore,

1 Inch = 3/2 Yards

If the area of the scale drawing is 16 Inch²

To get the area of the actual office, we multiply by the square of the scale factor.

Scale Factor=3/2

Therefore:

The area of the actual office space

=16X(3/2)² Square Yards

=36 Square Yards

Answer:

36 square yards.

Step-by-step explanation:

This question is solved with rule of three and ratios

We know that 2 inches is equivalent to 3 yards, and the area in the drawing is 16 square inches.

so if

2 inches ---- 3 yards then 1 inch is 3/2 yards.

Let's say that the office is 8 inches x 2 inches = 16 squared inches

Then, if we convert it to yards,

8 inches would be: 8((3)/(2))=12 yards

and 2 inches would be: 2((3)/(2))=3 yards

Then, the area of the office would be 12 x 3 = 36 squared yards.

Solve the equation 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13?

And Then Simplify it!
50 points!

Answers

Step 1: Simplify both sides of the equation.

5(−3x−2)−(x−3)=−4(4x+5)+13

5(−3x−2)+−1(x−3)=−4(4x+5)+13(Distribute the Negative Sign)

5(−3x−2)+−1x+(−1)(−3)=−4(4x+5)+13

5(−3x−2)+−x+3=−4(4x+5)+13

(5)(−3x)+(5)(−2)+−x+3=(−4)(4x)+(−4)(5)+13(Distribute)

−15x+−10+−x+3=−16x+−20+13

(−15x+−x)+(−10+3)=(−16x)+(−20+13)(Combine Like Terms)

−16x+−7=−16x+−7

−16x−7=−16x−7

Step 2: Add 16x to both sides.

−16x−7+16x=−16x−7+16x

−7=−7

Step 3: Add 7 to both sides.

−7+7=−7+7

0=0

  • All real numbers are solutions

Answer:

All real numbers; the simplification is described below.

Step-by-step explanation:

5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

Let's keep in mind PEMDAS (the order of operations) to simplify and solve this. First, we'll distribute inside each set of parenthesis!

5(-3x) + 5(-2) -1(x) -1(-3) = -4(4x) -4(5) + 13

See how we've taken the outer term on the outside of the parenthesis and multiplied it to each term inside the parenthesis. Simplify further.

-15x - 10 - x + 3 = -16x - 20 + 13

Now we can combine like terms! I will bold the terms I am combining.

-15x - 10 - x + 3 = -16x - 20 + 13 (combining the x terms on the left)

-16x - 10 + 3 = -16x - 20 + 13 (combining the constants on both sides)

-16x - 7 = -16x - 7

Aha! It looks like we have an equation that's literally equal to itself. If we were to simplify this, or put in any number, we'd get that number equals itself. For example:

-16(1) - 7 = -16(1) - 7

-16 - 7 = -16 - 7

-21 = -21

Any number you put in here will make the equation true, so these lines must be the same line. That means the solution is all real numbers.

Write an expression for "the quotient of 2 and 4."

Answers

Answer:

2÷ 4

Step-by-step explanation:

Quotient means division

2÷ 4

What is the slope of this graph?

Answers

Answer:

-1

Step-by-step explanation:

It's going down so it's a negative, and it's going down one square unit at a time so just 1.

Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4. im i n t e a r s pLEASE

Answers

The Perimeter: of the rectangular garden that has a width of 4x−6 and a length of 2x+4 is 2(2x - 7) + 2(3*2 + 4x).

What is perimeter?

Perimeter is the sum of length of the sides used to made the given figure.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

WE need to find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.

Area = (2x - 7) * (3*2 + 4x)

Area = (2x - 7) * (6 + 4x)

Area =  8x - 42

The Perimeter: of the rectangular garden that has a width of 4x−6 and a length of 2x+4 is 2(2x - 7) + 2(3*2 + 4x).

Learn more about perimeter here:

brainly.com/question/10466285

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Answer:

Perimeter: 2(2x - 7) + 2(3*2 + 4x)

Step-by-step explanation:

Area: (2x - 7) * (3*2 + 4x)

         (2x - 7) * (6 + 4x)

                 8x-42

Perimeter: 2(2x - 7) + 2(3*2 + 4x)