Answer:
d. 
e. ![x=\sqrt[3]{\dfrac{15}{4}}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B15%7D%7B4%7D%7D)
Step-by-step explanation:
I've typed up my workings in MS Word and attached them (as it's very difficult to type this in the Brainly equation editor).
I've used the product, quotient and power log laws.
Product: 
Quotient: 
Power: 
Step-by-step explanation:
because the is no answer for that in the calculator
Answer:
step 3: he should have divided both sides by -7
Answer:
The sample size required is, <em>n</em> = 502.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion is:

The margin of error is:

Assume that 50% of the people would support this political candidate.
The margin of error is, MOE = 0.05.
The critical value of <em>z</em> for 97.5% confidence level is:
<em>z</em> = 2.24
Compute the sample size as follows:

![n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B2.24%5Ctimes%20%5Csqrt%7B0.50%281-0.50%29%7D%7D%7B0.05%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D501.76%5C%5C%5C%5C%5Capprox%20502)
Thus, the sample size required is, <em>n</em> = 502.
Answer:
It seems there's more information in you question that you haven't posted.
7 months = 7 * (365/12) = 213 days
The half-life of chromium 51 is 27.7 days.
After 7 months, chromium 51 will have undergone 7.69 half-lives.
To solve for the ending amount we'll use the formula:
Ending Amount = Beginning Amount / 2^n where 'n' = # of half-lives
We'll say the beginning amount =1
Ending Amount = 1 / 2^7.69
Ending Amount = 0.0048426082
Basicaly if you started with 1 gram of chromium 51, after 7 months you would have 0.0048426082 grams.
Source: https://www.1728.org/halflife.htm
Step-by-step explanation: