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Sloan [31]
3 years ago
6

If f(x)=2^x-1 and g(x)= x^2-1, determine the value of (f o g)(3)

Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer: 4

Step-by-step explanation:

( f o g ) (3) means f(g(3)) so...

First: plug 3 into g(x) = x^ (2-1)

3^ (2-1) is 3^1 = 3

Next: plug 3 into f(x)= 2^(x-1)

2^(3-1) is 2^(2) > 2×2 = 4

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Suppose z is proportional to the square root of x. If z = 717 when x = 9, find the proportionality constant k.??
Dahasolnce [82]

Answer:

  239

Step-by-step explanation:

Write the equation. Fill in the given values, and solve for the unknown,

  z = k√x

  717 = k√9

  k = 717/3 = 239

The constant of proportionality is 239.

8 0
2 years ago
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Given: Rhombus ABCD. If mBAD is 64 degrees, then the mDCA is ___ degrees.
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Step-by-step explanation:

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2 years ago
you can use the expression 5n to determine the amount of money you have in cents, when you have n nickels. Find the amount of mo
Anni [7]

Answer:

90 cents

Step-by-step explanation:

Find how much money you have by plugging in 18 as n into the expression:

5n

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Multiply:

= 90

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3 years ago
What is the answer to this proportion question? 5m-3/63 = 9/21
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Answer:

Step-by-step explanation:

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4 0
2 years ago
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g "They hired an analyst who collected a random sample of 40,361 Game of Thrones fans, and found that 8,337 of those fans said t
Viktor [21]

Answer:

The lower bound for a 90% confidence interval is 0.2033.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 40361, \pi = \frac{8337}{40361} = 0.2066

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033

The lower bound for a 90% confidence interval is 0.2033.

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3 years ago
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