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2 years ago

Find three solutions of the equation y = 7x – 5.

1 answer:

5 0

y=7x-5 This is the same as saying y-7x = -5 Well easy. You just make up numbers that make this work. Let x be 1 y-7=-5 y=-5+7 y=2 So one ordered pair is (1,2) Let x=2 y-14=-5 y=9 So another ordered pair is (2,9) Let x=3 y-21=-5 y=-5+21 y=16 So another ordered pair is (3,16)
hope it helps

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Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,

kompoz [17]

If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

$V_{flask}=V_{sphere}+V_{cylinder}.$

Use following formulas to determine volumes of sphere and cylinder:

$V_{sphere}=\dfrac{4}{3}\pi R^3,\\ \\V_{cylinder}=\pi r^2h,$

wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

$V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;$
$V_{cylinder}=\pi r^2h=\pi \cdot \left(\dfrac{1}{2}\right)^2\cdot 3=\dfrac{3\pi}{4}\approx 2.36;$
$V_{flask}=V_{sphere}+V_{cylinder}\approx 47.71+2.36=50.07.$

Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

Write the new fask volume:

$V_{\text{new flask}}=V_{\text{new sphere}}+V_{\text{new cylinder}}=\dfrac{4}{3}\pi R'^3+\pi r'^2h'=\dfrac{4}{3}\pi (2R)^3+\pi (2r)^2\cdot 2h=\dfrac{4}{3}\pi 8R^3+\pi \cdot 4r^2\cdot 2h=8\left(\dfrac{4}{3}\pi R^3+\pi r^2h\right)=8V_{flask}.$

Then

$\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.$

Answer 2: correct choice is D.

8 0

3 years ago

Read 2 more answers

Question 6 Unsaved Identify the slope and y-intercept of the graph of the equation. Then graph the equation. y = −5/4x+1

Lena [83]

Slope = -5/4
y intercept = 1

The slope is always attached to x. The intercept is the number attached on the end.

4 0

3 years ago

write an equation in slope-intercept form for a line that goes through (9,-2) and is parallel to y=7x+2

lozanna [386]

Answer:

y=7x-65

Step-by-step explanation:

3 0

1 year ago

Which measure of center best represents this set of data? Number of television sets in the home: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4 *

nataly862011 [7]

Answer:

Mean

Step-by-step explanation:

Given

$Data: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4$

Required

Best measure of center

The mean is considered the best measure of center when there are no outliers in the given data.

Outlier is when a particular data set is far away from other datasets.

For instance: 20 is an outlier in the following data sets: $4, 4, 2, 20, 4, 4, 1, 3, 4, 2, 4$

Also, the given data are not open-ended.

An open-ended data is as follows: $1, 2, 3, 4, 5\ or\ more$

Since we do not have any of the above conditions, then the mean is the best center to use.

7 0

2 years ago

Which association best describes the scatter plot?

exis [7]

No association because the dots are just scattered all over the graph

Negative association would be when the dots are going toward downwards

Positive association would be when the dots are going toward upwards

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2 years ago