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3 years ago

Let f(x) = ln(1 − 2x). Which of the following represents f '(x) for all values of x for which the function is defined?

Mathematics

1 answer:

dolphi86 [110]3 years ago

7 0

If you take $u=1-2x$ , then by the chain rule

$f'(x)=\dfrac{\mathrm df}{\mathrm dx}=\dfrac{\mathrm df}{\mathrm du}\cdot\dfrac{\mathrm du}{\mathrm dx}=\dfrac1u\cdot(-2)=-\dfrac2u=-\dfrac2{1-2x}$

so the answer is A.

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PLEASE HELP AS SOON AS POSSIBLE!!

hram777 [196]

Answer:

Step-by-step explanation:

The problem says it is at least 6 so it can't be 0.

sorry if I get it wrong.

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2 years ago

If she asks you to cut a strip of pie crust long enough to go around the outside of the pan

postnew [5]

If she asks you that, she wants you to find the circumference of the pan.

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3 years ago

John is trying to drain a swimming pool. He has two pumps, but he can only use one at a time. He knows that the time a pump take

xeze [42]

What do you mean this sentence?
the time a pump takes to drain the pool varies inversely with the power in watts of the pump,
The meaning would be : if we have a power in watts greater the time to drag the pool will be less because the relation between power and time is inverse.

40 watts--------------5 hours)
100 watts------------ x

because the relation between power and time is inverse, we multiply directly.
40 watts(5 hours)=100 watts x
x=(200 watts hours) / 100 watts=2 hours.

Answer: the time would be 2 hours. (the new pump is faster)

8 0

3 years ago

1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,

gladu [14]

Answer:

(a) Explained below.

(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Step-by-step explanation:

The information provided is:

n (Men who finished the marathon) = 25,221

n (Women who finished the marathon) = 12,883

Compute the proportion of men and women who finished the marathon as follows:

$\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988$

The combined proportion is:

$\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989$

(a)

The hypothesis is:

H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.

Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.

Compute the test statistic as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78$

Compute the p-value as follows:

$p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075$

The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.

Thus, concluding that the rate of those who finish is the same for men and women.

(b)

Compute the 99% confidence interval for the difference between proportions as follows:

The critical value of z for 99% confidence level is 2.58.

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\$

Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

6 0

3 years ago

What is the value of x? enter your answer in the box. x = _

UNO [17]

Answer: x = 7

Step-by-step explanation:

24 = 2x + 10

24 - 10 = 2x + 10 - 10 (Subtract 10 from both sides)

14 = 2x

14/2 = 2x/2 (Divide both sides by 2)

7 = x

x = 7

8 0

3 years ago