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2 years ago

6

Two solid metal spheres have masses of 5 kg and 135 kg respectively. If the radius of the smaller one is 4 cm, find the radius o

f the larger one.

1 answer:

Cerrena [4.2K]2 years ago

8 0

Answer: 12 cm

Step-by-step explanation:

The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3

The greater radius is 3*4=12 (cm)

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Which line is parallel to the line<br> shown below?

Travka [436]

<h3>Answer: Choice D</h3>

4x - 3y = 15

====================================================

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

$(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2) = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\$

The slope is 4/3 meaning we go up 4 and to the right 3.

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

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

$3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1$

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

slope of equation B is 3/4
slope of equation C is -4/3
slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

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1 year ago

Find the image (0,0) after two reflections first across y=3 and then across x-axis

Alina [70]

Refrection of point (0, 0) across y = 3 gives point (0, 6)
Refrection of point (0, -6) across the x-axis gives point (0, -6)

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3 years ago

Read 2 more answers

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and

sergij07 [2.7K]

Answer:

a) sample size is 40

Step-by-step explanation:

(a)

$\sigma=4$ minutes

Margin of error, E is 75 seconds E=75/60= 1.25 minutes.

The level of significance $\alpha= 0.05$ for 95% level of significance

For 95% confidence interval $z_{\frac{\alpha}{2}}=1.96$ from standard deviation table

Sample size required, n

$n=\left (\frac{z_{\frac{\alpha}{2}}\cdot \sigma}{E} \right )^{2}=\left (\frac{1.96\cdot4}{75/60} \right )^{2}=39.337984$

Rounding off, n=40

Sample size =40

Keywords:

95% confidence, sample size, Wall Street Journal

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4 years ago

HELPPPPPP!!!!!!!!!!!!!!!!!

Mnenie [13.5K]

Answer:

The student is wrong.

Step-by-step explanation:

To divide exponents (or powers) with the same base, subtract the exponents. In the second step, the wrong result is calculated.

$\frac{x^{\frac{6}{5}}}{x^{\frac{2}{5}}} = x^{\frac{4}{5}}$

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3 years ago

Citizens under the age of 18 are not allowed to vote." Part A: Write an inequality to show the age of citizens who are allowed t

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The age of citizens allowed to vote is x:
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B
the age of citizens allowed to vote, x, is all the line number from 18 to the right, than is x equal or greater than 18

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3 years ago