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2 years ago

College Math!!! I did the first half of the question, I just need the bottom half of it.

Mathematics

1 answer:

ella [17]2 years ago

7 0

Answer:

-49

Step-by-step explanation:

$\int _{-5}^{-2}\:\left(8\:w\left(r\right)-3\right)dr$ = $\int _{-5}^{-2}\:8\:w\left(r\right)dr$ -3 (-2 -(-5)) = $8 \int _{-5}^{-2}\:\:w\left(r\right)dr$ -9 =8(-5) -9 = -49

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Given the functions below, find g(5) + h(2).<br> g(x) = 2x - 5<br> h(x) = 4x + 5

Ksju [112]

G(5) = 2(5)-5=5
h(2)=4(2)+5=13

So, g(5)+h(2)=13+5=18.

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1 year ago

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Martina drove 385 miles in 7 hours. at the same rate, how long would it take her to drive 495 miles?

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385/7 = 495/x

Answer: 9 hours

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3 years ago

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$550 at 4% compounded daily for 13 years

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2 years ago

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A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 4 men. Based on chance alone, what is t

tekilochka [14]

Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

$D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8$

Total outcomes:

Two members from a set of 2 + 4 = 6. So

$T = C_{6,2} = \frac{6!}{2!4!} = 15$

Probability:

$p = \frac{D}{T} = \frac{8}{15} = 0.5333$

53.33% probability that one woman and one man will be chosen to be on the committee

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2 years ago

What is the closed linear form for this sequence given a1 = 0.3 and an + 1 = an + 0.75?

german

Answer:

The closed linear form of the given sequence is $a_{n}=0.75n-0.45$

Step-by-step explanation:

Given that the first term $a_{1}=0.3$ and $a_{n+1}=a_{n}+0.75$

To find the closed linear form for the given sequence

The formula for arithmetic sequence is

$a_{n}=a_{1}+(n - 1)d$ (where d is the common difference)

The above equation is of the given form $a_{n+1}=a_{n}+0.75$

Comparing this we get d=0.75

With $a_{1}=0.3$ and d=0.75

We can substitute these values in $a_{n}=a_{1}+(n - 1)d$

$a_{n}=a_{1}+(n - 1)d$

$=0.3+(n-1)(0.75)$

$=0.3+0.75n-0.75$

$=-0.45+0.75n$

Rewritting as below

$=0.75n-0.45$

Therefore $a_{n}=0.75n-0.45$

Therefore the closed linear form of the given sequence is $a_{n}=0.75n-0.45$

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2 years ago