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3 years ago

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

Mathematics

1 answer:

nasty-shy [4]3 years ago

7 0

Answer:

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

This is an off topic question but i feel the need to let other peoples brains keep running so these are the questions i will giv

serg [7]

<span>−4.6−(0.4+7.2)
</span><span>−20+(−40)+(−60)

4 and 5 is properties of addition

-80 is your answer

hope this helps</span>

6 0

3 years ago

Read 2 more answers

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

Read 2 more answers

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.

4 0

3 years ago