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3 years ago

4 to the fourth negative power multiplied by four to the fifth power

Mathematics

1 answer:

Alex Ar [27]3 years ago

3 0

Simplify the following:4^5/4^4
Combine powers. 4^5/4^4 = 4^(5 - 4):4^(5 - 4)
5 - 4 = 1:Answer: 4

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Evaluate f(−1)=−3x^3 + 2x^2

Sholpan [36]

Answer:

Step-by-step explanation:

f(-1)= -3(-1)³+2(-1)²

= -3(-1)+2(1)

= 3+2

5 0

3 years ago

Common Core - How many thousands are in. 273,050? explain your answer

mojhsa [17]

There is 273 thousands. Remember, take out your zeros. Hope it helps! :)

7 0

3 years ago

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Solve for x. show your work.

vova2212 [387]

Hello!

$\large\boxed{x = 8}$

The two angles pictured are corresponding angles, so they are congruent.

Therefore:

17x - 4 = 12 + 15x

Isolate for x by subtracting 15x from both sides:

2x - 4 = 12

Add 4 to both sides:

2x = 16

Divide both sides by 2:

x = 8.

5 0

3 years ago

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Element X decays radioactively with a half life of 12 minutes. If there are 200 grams of Element X, how long, to the nearest ten

Semenov [28]

Answer:

It would take 24 minutes for the element to decay to 50 grams

Step-by-step explanation:

The equation for the amount of the element present, after t minutes, is:

$Q(t) = Q(0)e^{-rt}$

In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.

Half life of 12 minutes

This means that $Q(12) = 0.5Q(0)$

$Q(t) = Q(0)e^{-rt}$

$0.5Q(0) = Q(0)e^{-12r}$

$e^{-12r} = 0.5$

$\ln{e^{-12r}} = \ln{0.5}$

$-12r = \ln{0.5}$

$12r = -\ln{0.5}$

$r = -\frac{\ln{0.5}}{12}$

$r = 0.05776$

If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?

This is t when Q(t) = 50. Q(0) = 200.

$Q(t) = Q(0)e^{-rt}$

$50 = 200e^{-0.05776t}$

$e^{-0.05776t} = 0.25$

$\ln{e^{-0.05776t}} = \ln{0.25}$

$-0.05776t = \ln{0.25}$

$0.05776t = -\ln{0.25}$

$t = -\frac{\ln{0.25}}{0.05776}$

$t = 24$

It would take 24 minutes for the element to decay to 50 grams

6 0

4 years ago

PLEASE HELP ME! I REALLY NEED HELP!

Nuetrik [128]

This formula means that a(n) for n, when n is the term number, will give you the term. Meaning, we just have to plug in 55 for n.

a(55) = -1 + 3(55 - 1)

a(55) = -1 + 3 * 54

a(55) = -1 + 162

a(55) = 161

3 0

4 years ago

Read 2 more answers