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user100 [1]
3 years ago
15

A certain isotope decays so that the amount A remaining after t years is given by:

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

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ad-work [718]

Step-by-step explanation:

This time round, use SOH method (Sin angle = Opposite/Hypotenuse)

given Opposite = 7

Hypotenuse = 10

\sin(x)  =  \frac{opposite}{hypotenuse}  \\  \sin(x)  =  \frac{7}{10}  \\ x =  {sin}^{ - 1} ( \frac{7}{10} ) \\  = 44.4deg(nearest \: tenth)

4 0
3 years ago
What’s 2.95 as a percent
hichkok12 [17]

Answer:

295%

Step-by-step explanation:

4 0
3 years ago
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MissTica

Answer:

12

Step-by-step explanation:

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4 0
2 years ago
What are the solutions to
Svetllana [295]

Answer:

B and F

Step-by-step explanation:

Given

x² + 4x + 4 = 12 ( subtract 4 from both sides )

x² + 4x = 8

Using the method of completing the square to solve for x

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 8 + 4, that is

(x + 2)² = 12 ( take the square root of both sides )

x + 2 = ± \sqrt{12} ( subtract 2 from both sides )

x = ± \sqrt{12} - 2

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Hence

x = 2\sqrt{3} - 2 → B

x = - 2\sqrt{3} - 2 → F

4 0
3 years ago
It takes 10 road workers 5 days to complete a road repair when working 2 hours a day. Working at the same pace, how many days wi
Levart [38]

Answer:

10 days

Step-by-step explanation:

10 workers work 2 hrs a day for 5 days, so the work content is 10*5*2=100 manhours.

2 people work 5 hrs a day, so they deliver 10 manhours a day. To finish a work of 100 manhours,they’ll need 100/10=10 days.

The answer is 10 days.

6 0
2 years ago
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