Calculate the distance between the points G=(-2, 2) and C = (5, -1) in the coordinate plane.
=
Give an exact answer (not a decimal approximation).

Answer:

[tex]4116\; {\rm ft^{3}}[/tex], assuming that the two cylinders are of the same height.

Step-by-step explanation:

The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is [tex]\pi\, r^{2}\, h[/tex].

If the two cylinders are of the same height [tex]h[/tex], the volume of the two cylinders would be proportional to the square of their radii.

Let [tex]r_{0}[/tex] and [tex]V_{0}[/tex] denote the radius and volume of the smaller cylinder. Similarly, let [tex]r_{1}[/tex] and [tex]V_{1}[/tex] denote the radius and volume of the larger cylinder. Assuming that the height of both cylinders is [tex]h[/tex]:

[tex]V_{1} = \pi\, {r_{1}}^{2}\, h[/tex].

[tex]V_{0} = \pi\, {r_{0}}^{2}\, h[/tex].

Hence, [tex](V_{1}) / (V_{0})[/tex] (ratio between the volume of the larger cylinder and the volume of the smaller cylinder) would be:

[tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{\pi\, {r_{1}}^{2}\, h}{\pi\, {r_{0}}^{2}\, h} =\frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex].

In this question, it is given that:

Rearrange the equation [tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex] to find an expression for [tex]V_{1}[/tex], volume of the larger cylinder:

[tex]\begin{aligned}V_{1} &= \frac{{r_{1}}^{2}\, V_{0} }{{r_{0}}^{2}} \\ &= \frac{{(7\; {\rm ft})}^{2}}{{(3\; {\rm ft})}^{2}} \times (756\; {\rm ft^{3}}) \\ &= 4116\; {\rm ft^{3}} \end{aligned}[/tex].

Answer:

x = 5

Step-by-step explanation:

70 - 4x = 30 + 4x

Add 4x on both sides of the equation,

70 - 4x + 4x = 30 + 4x + 4x

70 = 30 + 8x

Subtract 30 from both sides of the equation to isolate 8x,

70 - 30 = 30 + 8x - 30

40 = 8x

Divide both sides of the equation by 8 to solve for x,

40 ÷ 8 = 8x ÷ 8

5 = x

Answer:

= 5 groups.

Step-by-step explanation:

    2. Substitute the equation

                        = 5 groups.

Answer:

40 square centimeters

Step-by-step explanation:

so if the density is 9 grams per square centimeter (for every 9 grams, there is 1 square centimeter):

360/9=40

40 cm squared

Answer:

Below n bold.

Step-by-step explanation:

The angle in each part = 360/18 = 20 degrees.

For 5 parts the angle = 5*20 = 100 degrees.

The ordered pair that satisfies the given inequality is ( 4,-2)

Step-by-step explanation:

By looking at the Graph, only the point ( 4,-2) marked by red dot lies on the shaded portion of the graph.

Please Mark this answer as brainliest, thank you :-)

Answer:

430,000

Step-by-step explanation:

HGD

Answer:

430,000

Step-by-step explanation:

Linear equations are often organized in slope-intercept form:

[tex]y=mx+b[/tex]

Parallel lines always have the same slopes and different y-intercepts.

We're given:

Firstly, rearrange the given line in slope-intercept form:

[tex]y=-3x+5[/tex]

Remember, parallel lines always have the same slope. Therefore, our parallel line would look like this, with a (currently) unknown y-intercept (b):

[tex]y=-3x+b[/tex]

We're given that the line passes through the point (0,2). Because the y-intercept occurs when x=0, we now know that the y-intercept of the line is 2. Plug this into the equation:

[tex]y=-3x+2[/tex]

[tex]y=-3x+2[/tex]

A problem that can be solved using the frequency table is "what is the total amount earned for the 14 days of the sale?".

A frequency table is used to display the frequencies of different outcomes in a sample.

Looking at the frequency table, total amount earned can be determinined by adding the multiplication in the third column together.

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Answer:

Question #1: 9 + 10 = 19

Question #2: 9 + 100 = 109

Step-by-step explanation:

9 + 10 = 19 because if you have 10 blocks and you recived 9 blocks what is the total blocks you have now? if you counted 10 blocks and 9 blocks that you recived you would have 19 or if you counted by 10 with 9 fingers you will get 19.

9 + 100 = 109 because if you have 100 dolls and you recived 9 dolls from friends what is the total dolls you have now? if you counted 100 dolls and 9 dolls that you recived from friends you would have 109 dolls or if you counted by 100 with 9 fingers you will get 109.

Answer:

10+9=10

100+9=109

:D

Step-by-step explanation:

Answer:

[tex]V_{cone}\approx366.33\: cm^3[/tex]

Step-by-step explanation:

Here,

Height of cone (h) = 14 m

Radius of cone (r) = 5 m

[tex]V_{cone}= \frac{1}{3}\pi r^2 h[/tex]

Plugging in the values of h and r in the above formula, we find:

[tex]V_{cone}= \frac{1}{3}(3.14)(5)^2 (14)[/tex]

[tex]V_{cone}= 366.333333\: cm^3[/tex]

[tex]V_{cone}\approx366.33\: cm^3[/tex]

Answer:

Step-by-step explanation:

3x + y = 1

⇔ -3x + 3x + y = -3x + 1  (we added -3x to both sides of the equation)

⇔ y = -3x + 1  ( because -3x + 3x = 0)

The sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z{score}\times\frac{s}{\sqrt{n} }[/tex]

Where    is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

MOE = 5% = 0.05 and

[tex]\alpha = 1-0.9 \Rightarrow 0.1[/tex]

Let's assume the value of p = 0.5, and q = 0.5

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.5\times 0.5\frac{1.64^2}{0.05^2}[/tex]

n = 268.96 ≈ 269

For part(b)

The value of p = 0.23, and q = 0.77

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.23\times 0.77\frac{1.64^2}{0.05^2}[/tex]

n = 190.53  ≈ 191

Thus, the sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

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Answer:

1/5

Step-by-step explanation:

You know that they will spin it five times and it's a prediction which means that you don't have actual data so just one.

Answer:

13 train cars.

Step-by-step explanation:

Let x = number of trains

[tex]x = \frac{600passengers}{48passengers/car} \\\\x = 12.5cars[/tex]

But we can't have 0.5 of a train...

x ≈ 13cars

Such sentences that convey strong emotion or excitement are called an exclamatory sentence.

The given sentence is an assertive sentence which shows sadness. Use exclamatory mark to change assertive into an exclamatory sentence.

Answer:

59

Step-by-step explanation:

I answered got it wrong and found the answer

The height 59 inches in most likely closest to the average height of the population.

The correct answer is an option (C)

"It is the ratio of the sum of all given observations to the total number of observations. "

For given question,

We have been given the average heights of four samples taken from a population of students.

The mean(average) of the average height of the population would be,

[tex]\bar{X}=\frac{63+54+57+59}{4}\\\\ \bar{X}=58.25\\\\\bar{X}\approx 59[/tex]

Therefore, the height 59 inches in most likely closest to the average height of the population.

The correct answer is an option (C)

Learn more about the average here:

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Answer:

I'm pretty sure the answer would be marked wrong.

Step-by-step explanation:

54x+16÷2−33(5+5)

54x+16÷2-33×10

54x+8-33×10

54x+8-330

54x-322

54x=322

x=322/54

x=5.96

x=6(round fig)

hope it helps...!!!

[tex] \huge \mathbb \green{HEY \: THERE}[/tex]

[tex]54x + 16 \div 2 - 33(5 + 5) \\ \\ = 54x + 16 \div 2 - 33 \times 10 \\ \\ = 54x + 8 - 330 \\ \\ = 54x - 322 = 0 \\ \\ \implies 54x = 322 \\ \\ \implies \: x = \frac{322}{54} \\ \\ \implies x = 5.96[/tex]

[tex] \huge \mathbb \green{HOPE \: IT \: HELPS}[/tex]

Answer:

To answer your question m8 it would be $30

Step-by-step explanation:

60 students times 3 is 180 and subtract that by 150, you get 30.

Answer:

A

s+s+s+s

equals to 4s

therefore a+a+a+a

equals to 4a

The distance between the boat and the ocean's floor is 19m

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

If you want to learn more about right triangles, you can read:

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Answer:

343

Step-by-step explanation:

I hope this helps ! Have a good day! <3 :)

Answer:

74.483

Step-by-step explanation:

to get the mean, or the average. you add up all the numbers and divide them by how many there are.

53.9 + 73.75 + 95.8 = 223.45 ÷ 3 = 74.483

The position function for the given object is:

s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

Here we know that:

a(t) = -40 m/s^2

v(0) = 18 m/s

s(0) = 0m

So, we know the acceleration, the initial velocity, and the initial position.

To get the velocity equation we need to integrate the acceleration equation, we will get:

v(t) = (-40 m/s^2)*t + C

Where C is the constant of integration, which we know that is the initial velocity, then:

v(t) =  (-40 m/s^2)*t + 18m/s

Now, to get the position equation, we need to integrate again:

s(t) = (1/2)*(-40 m/s^2)*t^2 + (18m/s)*t + s(0)

s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

So, the position function, is: s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

If you want to learn more about motion equations, you can read:

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Answer:

Add '-2b' to each side of the equation.

a + 2b + -2b = 12 + -2b

Combine like terms: 2b + -2b = 0

a + 0 = 12 + -2b

a = 12 + -2b

Simplifying

a = 12 + -2b

Answer: b= 6-a/2

Step-by-step explanation:

Always try to isolate what you are looking for.

a+ 2b=12 (subtract a)

2b= 12-a (divide by 2 to isolate b)

b= 12-a/2 (divide both numbers by 2 to get the smallest fraction)

b= 6-a/2 [b is now isolated :) ]

Answer:

The value of n = 1/4

Step-by-step explanation:

Given : the value of k = 99

K=100-4n ..i)

putting the value of k = 99 in equation ..i)

=> 99 = 100 -4n

=> 99 -100 = -4n

=> -1 = -4n

=> 1/4 = n

Answer:

K = -296

Step-by-step explanation:

K = 100 - 4n

K = 100 - 4(99)

K = 100 - 396

K = -296

The standard deviation of the given data is 3.5

Standard deviation is used to determine the rate of dispersion of data with respect to the mean.

The formula for calculating the standard deviation of data is given as:

[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{n-1} }[/tex]

Given the data below:

10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5

Using the stdevp calculator the standard deviation is calculated as:

σ =  √12.405

σ = 3.5

Hence the standard deviation of the given data is 3.5

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1/2 h×b

1/2 (10×14)

1/2 (140)

70m²

hope it helps...!!!

Answer:

9/2

Step-by-step explanation:

Divide: 3/

5

: 2/

3

= 3/

5

· 3/

2

= 3 · 3/

5 · 2

= 9/

10

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/

3

is 3/

2

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three fifths divided by two thirds = nine tenths.

Answer:

Step-by-step explanation:

The number is 60:

Divide the amount and decimal of the percentage to be extracted

Case 1

[tex]\frac{21}{0.35} =60[/tex]

Case 2

[tex]\frac{54}{0.9} =60[/tex]

Now the 55% of this number is:

[tex]60(0.55)=33[/tex]

Hope this helps