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nydimaria [60]
3 years ago
13

1. Stephen works for an environmental protection agency

Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer:

Area to be removed = 3600000 feet³

Step-by-step explanation:

We need to calculate the volume of soil to be removed. We have been already provided with area of the lot in feet.

Total Area of soil = 1200' x 1500'

Where soil to be removed is given in inches, convert it into feet

Soil to be removed = 24''=2'

Multiply both the the value to get the volume of soil to be removed so the soil is not a health hazard

Area to be removed = 1200' x 1500' x 2'

Area to be removed = 3600000 feet³

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1) Suppose f(x) = x2 and g(x) = |x|. Then the composites (fog)(x) = |x|2 = x2 and (gof)(x) = |x2| = x2 are both differentiable a
Rufina [12.5K]

Answer:

This contradict of the chain rule.

Step-by-step explanation:

The given functions are

f(x)=x^2

g(x)=|x|

It is given that,

(f\circ g)(x)=|x|^2=x^2

(g\circ f)(x)=|x^2|=x^2

According to chin rule,

(f\circ g)(c)=f(g(c))=f'(g(c)g'(c)

It means, (f\circ g)(c) is differentiable if f(g(c)) and g(c) is differentiable at x=c.

Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule

3 0
3 years ago
Arithmetic and Geometric Sequences (Context)
V125BC [204]

The formula for compound interest

A = P( 1 + r/n) ^ (nt)

A is the amount in the account at the end

P is the principal balance or the amount initially invested

r is the annual interest rate in decimal form

n is the number of times it is coupounded per year

t is the number of years

A = 1800 ( 1+ .0375/1) ^ (1*6)

A = 1800 ( 1.0375)^6

A = 2244.92138

Rounding to the nearest cent

A = 2244.92

7 0
1 year ago
What is the solution to |x – 5| + 2 < 20?
stepladder [879]

Answer:

Step-by-step explanation:

hello :

|x – 5| + 2 < 20  means :  |x – 5| + 2-2 < 20-2

|x – 5|  < 18

-18< x - 5 < 18

-18+5< x - 5+5 < 18+5

-13< x< 23   ( solutions)

3 0
2 years ago
Make x the subject of the formula<br> Y=3x+2
andrew-mc [135]

Answer:

(y-2)÷3=x

Step-by-step explanation:

y=3x+2

y-2=3x

(y-2)÷3=x

This answer could also be written as a fraction: y-2 over 3, equals x.

5 0
3 years ago
A recipe needs tablespoon salt<br> This same recipe is made 5 times.<br> How much total is needed?
Andre45 [30]

Answer: c) 1 1/4

Step-by-step explanation: you do 1/4 times 5 .You make 5 a fraction which is 5/1.So now you do 1/4 times 5/1 which is 5/4.And you change it to a mixed number which is 1 1/4.

8 0
3 years ago
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