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3 years ago

If (-3, y) lles on the graph of y = 3*, then y =

Mathematics

1 answer:

sladkih [1.3K]3 years ago

5 0

The line y = 3 means that x = 0.

The point (-3, y) tells me that x = -3 when y is 3.

So, y = 3 completes the point (-3, 3).

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A 12-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 rpm, what is the spee

nata0808 [166]

Answer:

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

$v = \omega*R$

<u>Where</u>:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

$R = \frac{n_{(a)}}{n_{(b)}}$

<u>Where:</u>

n(a): is the number of teeth on the small gear = 12 teeth

n(b): is the number of teeth on the larger gear = 42 teeth

The gear ratio is:

$R = \frac{12}{42} = 0.29$

Now, the speed of the larger gear is:

$v = \omega*R = 700 rpm*0.29 = 203 rpm$

Therefore, the speed of the larger gear is 203 rpm.

I hope it helps you!

3 0

3 years ago

A fish tank at an aquarium has a volume of 1,568 cubic feet and a depth of 8 feet. If the base of the tank is square, what is

Katena32 [7]

Answer:

Step-by-step explanation:

So, if x is length, then x*x*8 is 1568. To solve, you do 1568/8, which gives you 196. The square root of 196 is 14, and 14*14*8 is 1568.

6 0

3 years ago

I need to know how to graph (15,45)

IgorC [24]

15 is on the X-axis (Horizontal) and 45 is on the Y-axis (Vertical)

5 0

4 years ago

Question 10 of 10

lozanna [386]

Answer:

45 m2

Step-by-step explanation:

It was the only reasonable answer lol

9x5=45

5 0

2 years ago

What is the r-value of the following data, to three decimal places

Mrrafil [7]

<h2>Answer:</h2>

Option: A is the correct answer.

A. -0.903

<h2>Step-by-step explanation:</h2>

The formula to calculate correlation coefficient r is given by:

$r=\dfrac{n\sum xy-(\sum x)(\sum y)}{\sqrt{n(\sum x^2)-(\sum x)^2}\sqrt{n(\sum y^2)-(\sum y)^2}}$

x y xy x² y²

4 23 92 16 529

5 12 60 25 144

8 10 80 64 100

9 9 81 81 81

13 2 26 169 4

-------------------------------------------------------------------------

∑ 39 56 339 355 858

Also n=5 ( as there are 5 data points )

Hence, we get:

$r=\dfrac{5\times 339-39\times 56}{\sqrt{5\times 355-(39)^2}\times \sqrt{5\times 858-(56)^2}}\\\\\\r=\dfrac{-489}{\sqrt{254}\times \sqrt{1154}}\\$

$r=-\dfrac{489}{541.40188}=-0.9032$

Hence, the r-value of the following data, to three decimal places is:

A. -0.932

8 0

3 years ago