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sveta [45]
3 years ago
8

Evaluate composite functions

Mathematics
1 answer:
Ber [7]3 years ago
5 0

As shown in the pic, you place the given value into g first, which results in 3 (as shown in the pic). Next, you place the result you got from placing the given value into g into f now, so that would be (3)^2-6(3)+3. Evaluating this, so far we'd get 9-18+3. When adding, we'd get 12-18, which is -6, so f(g(11)) is -6

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What is the area of the figure?<br>​
Oksi-84 [34.3K]

Answer:

5.4 in.

Step-by-step explanation:

Figuring out the area of shapes like these are quite simple, you first have to break apart this shape to make solving this easier. If you draw a line and break off the triangle from the square you will get 2 different shapes. A square with all the sides being 2 inches, and a triangle that is 2 inches tall and 1.4 inches across (you subtract 3.4 by 2). Next you just use the equation (2 * 2) + ((1.4 * 2)/2). Multiply 2 by 2 (which is 4) and you get the area of the square (you multiply the base by the width). And for the triangle you multiple 1.4 by 2 (you get 2.8)... But because it's a triangle you have to divide that number by 2 since the triangle is half of a square. So 2.8 / 2 is going to be 1.4. After that you now have the equation 4 + 1.4 and the answer is going to be 5.4.

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What is the value 6,035
Julli [10]
6035 theres nothing to take from or add to it

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What is the perimeter of the quadrilateral 9m 5m 7m 11m
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A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er
Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

\hat{p} = 89\% = 0.89

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting the values, we get:

M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016

Thus, the margin of error for the survey is 0.016

3 0
3 years ago
How is number 0.000063 written in scientific notation?
katen-ka-za [31]

Step-by-step explanation:

The scientific notation:

a\times10^k

<em>1 ≤ a < 10</em> and <em>k -</em><em> any integer number</em>

<em />

0.000063=0\underbrace{.00006}_{5\to}3=6.3\times10^{-5}\\\\\\0.000063=6.3:100,000=6.3:10^5=6.3\times10^{-5}

5 0
3 years ago
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