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2 years ago

Question 6 of 10

Mathematics

1 answer:

Vinil7 [7]2 years ago

6 0

62 triangle a and 59 triangle b

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Write an Equation given the point (1, -1) and a rate of 2.

Verizon [17]

Answer:

y+1=2(x-1)

Step-by-step explanation:

use point slope form

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2 years ago

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If two cards are drawn out of a deck WITH replacement, what's the probability that you draw a red card and then an Ace? Question

Lapatulllka [165]

Answer:I believe the answer is b

Step-by-step explanation:

I did this yesterday and I’m pretty sure that’s what is was

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2 years ago

All the edges of a cube are expanding at a rate of 4 in. per second. How fast is the volume changing when each edge is 10 in. lo

Greeley [361]

Given:

All the edges of a cube are expanding at a rate of 4 in. per second.

To find:

The rate of change in volume when each edge is 10 in. long.

Solution:

Let a be the edge of the cube.

According to the question, we get

$\dfrac{da}{dt}=4\text{ in./sec}$

$a=10\text{ in.}$

We know that, volume of a cube is

$V=a^3$

Differentiate with respect to t.

$\dfrac{dV}{dt}=\dfrac{d}{dt}a^3$

$\dfrac{dV}{dt}=(3a^2)\times \dfrac{da}{dt}$

Putting the given values, we get

$\dfrac{dV}{dt}=(3(10)^2)\times 4$

$\dfrac{dV}{dt}=3(100)\times 4$

$\dfrac{dV}{dt}=300\times 4$

$\dfrac{dV}{dt}=1200\text{ in}^3\text{/sec}$

Therefore, the rate of change in volume 1200 cubic inches per second.

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3 years ago

Find the value of the linear correlation coefficient r. Round to 3 decimal places. (47, 8), (46, 10), (27, 10)

Mnenie [13.5K]

Answer:

- 0.5379

Step-by-step explanation:

Given the data below :

(47, 8), (46, 10), (27, 10)

Using the functionality of the correl() function in excel, which takes in the x and y values of a data. The value of correlation Coefficient (r) obtained is - 0.5379 which indicates that a fairly strong negative correlation exists between the x and y variables. As the the strength of correlation depends on how close the Coefficient is to 1 (strong) or 0 ( weak). Negative value indicates that an increase in the value of one variable leads to a decrease on the value of the other.

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2 years ago

Which should be calculated first to solve this story problem?

Mademuasel [1]

C is the answer ..........

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2 years ago

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