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Novosadov [1.4K]
3 years ago
10

Item 3 Simplify $\left(s^{-5}\right)^3$ . Write your answer using only positive exponents.

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0

Answer:

s^-15

Step-by-step explanation:

Given the expression

(S^-5)³

= s^5 × s^-5 × s^-5

= s^{-5-5-5}

= s^-15

Hence the resulting expression is s^-15

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Answer:<span>x=<span><span><span><span><span>−10/</span>3 </span>y </span>+ <span>4z</span></span>+<span>40/<span>3</span></span></span></span>
8 0
3 years ago
Simplify (−4.5)(−6)(5.4).
Fynjy0 [20]
The answer to (-4.5)(-6)(5.4)= 137.7
4 0
2 years ago
A recipe for French toast that serves 6 calls for 3/4 cup granulated sugar, 1 cup of evaporated milk, 1/3 teaspoon of vanilla, a
maxonik [38]
To serve 3 you half the recipe so divide each number by 2

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3 0
3 years ago
The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec
elena-14-01-66 [18.8K]

If S(t) is the amount of strontium-90 present in the area in year t, and it decays at a rate of 2.5% per year, then

S(t+1)=(1-0.025)S(t)=0.975S(t)

Let S(0)=s be the starting amount immediately after the nuclear reactor explodes. Then

S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)

or simply

S(t)=0.975^ts

So that after 50 years, the amount of strontium-90 that remains is approximately

S(50)=0.975^{50}s\approx0.282s

or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

S(t)=se^{kt}

where t is measured in years. We're told that 2.5% of the starting amount s decays after 1 year, so that

0.975s=se^k\implies k=\ln0.975

Then after 50 years, we have

S(50)=se^{50k}\approx0.282s

5 0
3 years ago
Find the volume of the pyramid.
zlopas [31]

Answer:

7

Step-by-step explanation:

Formula=area of base x height / 3

A= ( 3 x 1 ) x 7 / 3

A= 3 x 7 / 3

A= 21 / 3

A= 7

8 0
2 years ago
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