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s2008m [1.1K]
3 years ago
11

What is the slope and y-intercept of the line graphed below?

Mathematics
1 answer:
nasty-shy [4]3 years ago
7 0

Answer:

A

Step-by-step explanation:

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What curve passes through the point ​(1 ​,2​) and has an arc length on the interval​ [2,6] given by Integral from 2 to 6 StartRo
Georgia [21]

Answer:

Step-by-step explanation:

Given

Length of curve

L=\int_{2}^{6}\sqrt{1+64x^{-6}}dx

Length of curve is given by

L=\int_{a}^{b}\sqrt{1+\left ( \frac{\mathrm{d} y}{\mathrm{d} x}\right )^2}dx over interval a to b

comparing two we get

\frac{\mathrm{d} y}{\mathrm{d} x}=8x^{-3}

dy=8x^{-3}dx

integrating

\int dy=\int 8x^{-3}dx

y=-4x^{-2}+C

Curve Passes through (1,2)

1=-4+C

C=5

curve is

y+\frac{4}{x^2}=5

3 0
3 years ago
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serg [7]
<span>−4.6−(0.4+7.2)
</span><span>−20+(−40)+(−60)

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6 0
3 years ago
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Sam rolled a die 75 times. On 39 of those rolls, he had a 6. Which statement is TRUE when the probabilities are compared?
svetlana [45]

Answer:

D)The experimental probability is greater than the theoretical probability

Step-by-step explanation:

Given:

75 times a die is rolled out of 39 times it got 6

To Find :

Which statement is true?

Solution:

The theoretical probability is given by the ,

Pt=No.of favorable outcomes/Total outcomes

Here favorable is getting 6 on the die

so how many times we can get 6 =1 time

Total outcomes =6

Pt=1/6

Pt=0.1667

Now for

The experimental Probability ,

Pe=Number times that event occur /Total no of trails

Here 39 times we get 6 and total no trails are 75

Pe=39/75

Pe=0.52

Hence we can say that Pe>Pt.

8 0
3 years ago
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A nurse opens a case that has a total of 160 ounces of med. If each vial in the case holds 1 1/3oz of medication how many vials
uysha [10]

Answer:

120 Vials

Step-by-step explanation:

160/1and1/3

160/4over3

Multiply top by 3

480/4

120

4 0
2 years ago
if Pedro were 7.5 cm taller he would be twice as tall as Ian. Ian is 74.25 cm tall so how tall is Pedro?
Afina-wow [57]
Pedro is 141 cm tall.
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3 years ago
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