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lisabon 2012 [21]
3 years ago
9

*Use the Area formula

Mathematics
1 answer:
Artist 52 [7]3 years ago
4 0

Answer:

5ft

Step-by-step explanation:

Given parameters:

Length of the pool  = 25ft

Width of the pool  = 15ft

Volume of water the pool can hold = 1875ft³ of water

Unknown:

Depth of the pool = ?

Solution:

The pool is in the shape of a cuboid.

The volume of a cuboid is given as;

        Volume of a cuboid  = L x width x depth

Insert the parameters and solve for the depth;

        1875  = 25 x 15 x depth

         depth = \frac{1875}{25 x 15}   = 5ft

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Charlie's eraser has a mass of 9 grams. How many milligrams is the eraser?
Vadim26 [7]

Answer:

9000 milligrams

Step-by-step explanation:

One gram is the <em>equivalent of 1000 milligrams</em>.

So, <em>9 grams is 9*1000 milligrams</em>, which is 9000 milligrams.

8 0
3 years ago
Read 2 more answers
The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price
likoan [24]

Answer:

A)  3%

B)  Product A

Step-by-step explanation:

<u>Exponential Function</u>

General form of an exponential function: y=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

<u>Part A</u>

<u>Product A</u>

Assuming the function for Product A is <u>exponential</u>:

f(x) = 0.69(1.03)^x

The base (b) is 1.03.  As b > 1 then it is an <u>increasing function</u>.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, <u>product A is increasing by 3% each year.</u>

<u>Part B</u>

\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%

Check using different two consecutive values of f(t):

\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%

Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

  • a = 10,100
  • b = 1.01
  • n = t - 1 (as the initial value is for t = 1 not t = 0)

\implies f(t) = 10100(1.01)^{t-1}

To check this, substitute the values of t for 1 through 4 into the found function:

\implies f(1) = 10100(1.01)^{1-1}=10100

\implies f(2) = 10100(1.01)^{2-1}=10201

\implies f(3) = 10100(1.01)^{3-1}=10303.01

\implies f(4) = 10100(1.01)^{4-1}=10406.04

As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>

4 0
2 years ago
Please help me answer it​
jeka94

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Complete the graphic organizer by dragging each expression to the exponent law it illustrates. Assume that x and y are nonzero r
Agata [3.3K]

Answer:

Step-by-step explanation:

i got it correct:)

7 0
3 years ago
Solve this 2-step Equation <br> 5=4a-7
katen-ka-za [31]

Answer:

a=3

Step-by-step explanation:

5=4a-7

add 7 on both sides

5+7=4a(-7+7)

12=4a

Now divide 4 on both sides

a= 3

PLEASE GIVE BRAINLISET

7 0
3 years ago
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