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slavikrds [6]
3 years ago
5

What is the first step in solving for w in the equation 3W + 5 = 14?

Mathematics
1 answer:
svlad2 [7]3 years ago
7 0
Subtract 5 from both sides so that you can can 3W by itself and then you divide both sides by 3W and you should get w=3
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Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = ta
Irina-Kira [14]

Answer:

The inner function is u = \pi x.

The outer function is f(u) = \tan{u}.

\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}

Step-by-step explanation:

The inner function is the one we apply the outer function to.

So

y = \tan{\pi x}

We apply the outer function tangent to \pi x.

So, the inner function is u = \pi x.

The outer function is f(u) = \tan{u}.

The derivative of a compositve function

y = f(u) in which u = g(x) is given by the following function.

y^{\prime} = f^{\prime}(u)*g^{\prime}(x)

So

f(u) = \tan{u}

f^{\prime}(u) = \sec^{2}{u}

u = g(x) = \pi x

g^{\prime}(x) = \pi

So

y^{\prime} = f^{\prime}(u)*g^{\prime}(x)

\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}

7 0
2 years ago
(3-5i)(2+9i)+(7+2i)(7-2i)
kondor19780726 [428]
i^{2} = -1

-----------------------------------------

(3-5i)(2+9i)+(7+2i)(7-2i) = \\  \\  =  6 + 27i - 10i - 45i^{2} + 49 - 14i + 14i - 4i^{2} =  \\  \\  =55 + 17i + 45 + 4   = \boxed{104 + 17i}
7 0
3 years ago
40 is 50% of what number?<br> A. 20<br> B. 40<br> C. 60<br> D. 80
Alex787 [66]

Answer:

D. 80

Step-by-step explanation:

multiply 40 by 2 cause its 50 percent

5 0
3 years ago
Read 2 more answers
Please I really need help, this is my final
Paul [167]

Answer:

6.12

Step-by-step explanation:

tan 27≈0.51

Know that tan=\frac{opposite}{adjacent}

0.51=\frac{x}{12}

Multiply 12 on both sides

6.12=x

3 0
3 years ago
3.30 Survey response rate. Pew Research reported in 2012 that the typical response rate to their surveys is only 9%. If for a pa
Artist 52 [7]

Answer:

0% probability that at least 1,500 will agree to respond

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 15000, p = 0.09

So

\mu = E(X) = np = 15000*0.09 = 1350

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15000*0.09*0.91} = 35.05

What is the probability that at least 1,500 will agree to respond

This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1499 - 1350}{35.05}

Z = 4.25

Z = 4.25 has a pvalue of 1.

1 - 1 = 0

0% probability that at least 1,500 will agree to respond

6 0
3 years ago
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