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scZoUnD [109]
3 years ago
5

A square desktop has an area of 324 square inches. What is the length of one side of the desktop

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0
Question: The area of a square is 324 square inches. What is the length of one side of the square?
The formula for finding area of squares is:

Length x Width

Squares have 4 sides, and all sides measure the same. If the area is 324 square units, that means the length and width are the same.

x X x=x2

X2=324

x squared(x²) is equal to 324. To find x, you have to do the opposite of squaring, which is finding the square root.

x2= 324 —> square root of 324=x

To find x, you have find the square root of 324.

Square root of 324 is 8

The length of one side is 18 inches
Check:
The formula for finding area is:

Length x Width

The length and width gotten was 18. Put that into the formula:

18 x 18

Multiply:

18 x 18= 324

That means the answer is correct. Your answer is 18 inches.
If you have any questions, feel free to ask in the comments! :)


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79. Revenue. The revenue (in dollars) from the sale of x infant car seats is given by R1x2 = 60x - 0.025x2 0 ... X ... 2,400 (A)
sineoko [7]

Question:

59 Revenue. The revenue (in dollars) from the sale of x infant car seats for infants is given by

R(x) =60·x - 0.025·x² 0 ≤ x ≤ 2400

(A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats.

(B) Use the four-step process to find

(C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and write a brief verbal interpretation of these results

Answer:

(A) $437.5

(B) R'(x) = 60 - 0.05·x

(C) $10

Step-by-step explanation:

(A) Here we have the change in revenue when production is increased from 1,000 car seats to 1,050 car seats is given as follows;

R(1050) - R(1000) = 60×1050 - 0.025×1050² - (60×1000 - 0.025×1000²)

R(1050) - R(1000) = 63000 - 27562.5 - 35000 = $437.5

(B) R'(x) is given by

Step 1. R(x + h) = 60·(x+h) - 0.025·(x+h)²

Step 2  R(x + h) - R(x) = 60·(x+h) - 0.025·(x+h)² -  60·x - 0.025·x² = -\frac{h^2+(2x-2400)h}{40}

Step 3

\frac{R(x+h)- R(x)}{h} = -\frac{h^2+(2x-2400)h}{40 \times h} = -\frac{h +2x - 2400}{40}

Step 4

\lim_{h \to 0}  \frac{R(x+h)- R(x)}{h} =  \lim_{h \to 0} -\frac{ h +2x - 2400}{40}

∴  R'(x) = 60 - 0.05·x

(c) The revenue at a production level of 1000 car seats is

R(1000) = (60×1000 - 0.025×1000²) = $35,000

The instantaneous rate of change of revenue is given as follows

R'(x) = 60 - 0.05·x = 60 - 0.05×1000 = $10.

7 0
3 years ago
PLEASE HELP!!! WILL MARK BRAINLIEST!!!!!
just olya [345]

The piecewise defined function is

f(t) = 800 * 1.5^t for 0 - 2

f(t) = 2700 * 1.05^t-3 for 3 to 9

<h3>How to determine the piecewise functions?</h3>

On the domain of t = 0 to 2, we have:

f(0) = 800

f(1) = 1200

f(2) = 1800

The above function is a piecewise function with the following definition

f(0) = 800 --- initial value

r = 1200/800 = 1.5 --- rate

The function is then represented as:

f(t) = f(0) * r^t

This gives

f(t) = 800 * 1.5^t

On the domain of t = 3 to 9, we have:

f(3) = 2700

f(4) = 2835

The above function is a piecewise function with the following definition

f(3) = 800 --- initial value

r = 2835/2700 = 1.05 --- rate

The function is then represented as:

f(t) = f(3) * r^t-3

This gives

f(t) = 2700 * 1.05^t-3

Hence, the piecewise defined function is

f(t) = 800 * 1.5^t for 0 - 2

f(t) = 2700 * 1.05^t-3 for 3 to 9

Read more about piecewise defined function at

brainly.com/question/26145479

#SPJ1

8 0
2 years ago
Please SHOW me how to complete this problem. 50 points<br><br> (10y^3-5y^2-10x+4) ÷(2y-1)
Kay [80]

Answer:

10y3 - 5y2 - 10x + 4

 ————————————————————

        2y - 1      

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 

Step  2  :

Equation at the end of step  2  :

 

Step  3  :

           10y3 - 5y2 - 10x + 4

Simplify   ————————————————————

                  2y - 1      

Checking for a perfect cube :

3.1    10y3 - 5y2 - 10x + 4  is not a perfect cube

Final result :

 10y3 - 5y2 - 10x + 4

 ————————————————————

        2y - 1      

5 0
3 years ago
Read 2 more answers
10. Saul works two part-time jobs. Last week, he worked 14 hours at a shoe store, and 19
Sedbober [7]

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

Step-by-step explanation:

Let s = hourly salary at the shoe store.

Let t = hourly salary as a telemarketer.

14s + 19t = 240.3

19s + 22t = 300

Multiply both sides of the first equation by 19. Multiply both sides of the second equation by -14. Then add them.

         266s + 361t = 4565.7

(+)     -266s - 308t = -4200

----------------------------------------

                       53t = 365.7

t = 6.9

Substitute 6.9 for t in the first equation and solve for s.

14s + 19(6.9) = 240.3

14s + 131.1 = 240.3

14s = 109.2

s = 7.8

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

6 0
3 years ago
What is the circumference of the circle?
oksian1 [2.3K]

Answer:

20π ft

Step-by-step explanation:

Formula: C=2πr, where C is the circumference and r is the radius.

r=10 ft.

C=2*π*10

=20π ft.

3 0
3 years ago
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