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anzhelika [568]
3 years ago
14

Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(0).

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0
<span>f(0) = 0
g(f(0)) = 0 - 3 = -3

answer
</span><span>(g ∘ f)(0) = -3</span>
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Which of the following numbers can be expressed using negative exponents? Select one: a. .0005216 b. 5,216 c. -5,216 d. 52.16
Andreas93 [3]

Answer:

black people

Step-by-step explanation:

4 0
3 years ago
Mo has some sweets. He shares them out between x of his friends in 2 different wys. 7 sweets each with 2 leftover or 6 sweets ea
sveticcg [70]

Answer:

Mo is sharing the sweets between 5 friends

Step-by-step explanation:

An important thing to note is that whichever way Mo shares the sweets, the total number of sweets he has does not change. It means that if he chooses the first method to share the sweets, or the second method, he still has the same number of sweets. This will be helpful in setting up an equation that will help us solve the problem.

If he chooses the first way to share the sweets:

7x + 2 = total number of sweets available.

<em>This is because each of his friends gets 7 sweets each, with 2 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>

<em />

If he chooses the second way to share the sweets:

6x + 7 = total number of sweets available.

<em>This is because each of his friends gets 6 sweets each, with 7 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>

<em />

because the total number of sweets do not change, we have

7x +2 = 6x +7

Grouping like terms,

7x - 6x = 7 - 2

x = 5.

Therefore, Mo is sharing the sweets between 5 friends

7 0
3 years ago
(-3,-2) and (-8,4)<br> what is the distance between them in radical form
nexus9112 [7]

Answer:(-4,5)

Step-by-step explanation:If you put (-3,2) and (-8,4) on a number line then it would be (-4,5).

7 0
3 years ago
Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language. Describe the
taurus [48]

Answer:

The distribution of sample proportion Americans who can order a meal in a foreign language is,

\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

The sample size of Americans selected to disclose whether they can order a meal in a foreign language is, <em>n</em> = 200.

The sample selected is quite large.

The Central limit theorem can be applied to approximate the distribution of sample proportion.

The distribution of sample proportion is,

\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})

3 0
3 years ago
Which expression is equivalent to 15x^-3z^5/3x^7z^-5 please answer spr fast
Law Incorporation [45]

Answer:

5x^{-10}z^{10

Step-by-step explanation:

Given

\frac{15x^{-3}z^5}{3x^7z^{-5}}

Required

Evaluate

\frac{15x^{-3}z^5}{3x^7z^{-5}}

Start by dividing 15 by 3

\frac{5x^{-3}z^5}{x^7z^{-5}}

Apply the following law of indices on indices x and z

\frac{a^m}{a^n} = a^{m-n

So, the expression becomes:

5x^{-3-7}z^{5-(-5)

5x^{-3-7}z^{5+5

5x^{-10}z^{10

3 0
3 years ago
Read 2 more answers
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