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2 years ago

Which of the following is a prime number? A. 67 B. 65 C.63 D.60

Mathematics

2 answers:

solong [7]2 years ago

6 0

Answer:

A. 67

Step-by-step explanation:

Alisiya [41]2 years ago

4 0

Answer:

Step-by-step explanation:

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I NEED HELP PLEASE!!!! Given a real world problem, can you find the unit rate?

Yuliya22 [10]

Here is an example:

Josh bought 7 apples for $21.

21/7 is 3, so one apple costs $3. This is the unit rate.

21/7 simplifies to 3/1, that’s another way to think about it. Simplify the fraction until the denominator is 1.

Hope this helps! Tell me if you have any questions!

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3 years ago

Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con

monitta

Let $f(x)=e^{-1/x}$ . Then $f'(x)=\frac1{x^2}e^{-1/x}>0$ for all $x\ge2$ , so $f$ is strictly increasing. As $x\to\infty$ , $e^{-1/x}\to e^0=1$ , so $f$ is bounded above by 1. This is to say,

$e^{-1/x}$

and the integral of $\frac1{x^2}$ converges over the same domain, so this integral must also converge by comparison.

We have, by setting $y=-\frac1x$ ,

$\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}$

8 0

3 years ago

What is the value of the expression below when y=2 AND z=8?<br> 8y-z

Kisachek [45]

Answer:

Step-by-step explanation:

4 0

3 years ago

Alice subscribes to the symphony. the cost is $295.55 for 32 performances. if alice sells you four tickets, what will they cost

Jobisdone [24]

32 performance = $295.55

1 performance = 299.55 ÷ 32 = $9.24

4 performance = $9.24 x 4 = $36.96

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Answer: It will cost $36.96.
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7 0

3 years ago

Given f(x)=2x^3-3x and g(x)=-3x^2+1, what is the value of h(3) where h(x)=(f+g)(x)?

Mamont248 [21]

Answer:

h(3) = 73

Step-by-step explanation:

The function $h(x) = f(x) + g(x) = 2x^3 -3x +3x^2 +1 = 2x^3 +3 x^2 -3x+1$

Now since you need to find the value of this new function at the point x=3, replace x by "3" in the expression above and perform the calculation:

$h(3) = 2(3)^3 +3 (3)^2 -3(3)+1=73$

3 0

3 years ago