PLEASE HELP PLEASE HELP PLEASE

[tex]6y^2(y^2+6y+9)\\\\=6y^2(y^2+2\cdot 3 \cdot y + 3^2)\\\\=6y^2(y+3)^2\\\\=6y^2(y+3)(y+3)[/tex]

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:

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:

430,000

Step-by-step explanation:

HGD

Answer:

430,000

Step-by-step explanation:

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 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:51.16

I hope this works for you.

Answer:

A

s+s+s+s

equals to 4s

therefore a+a+a+a

equals to 4a

Answer:

[tex]\sin x = 1-\sqrt 2[/tex]

Step by step explanation:

[tex]~~~\sin^2 x -2 \sin x=1\\ \\\implies \sin^2 x-2 \sin x +1^2 = 1+1\\\\\implies (\sin x - 1)^2 =2\\\\\implies \sin x -1=\pm \sqrt 2\\\\\implies \sin x = 1\pm\sqrt 2\\\\\text{Since}~ -1\leq \sin x \leq 1, ~~ \sin x = 1-\sqrt 2[/tex]

Answer:

mukaka

Step-by-step explanation:   so you find the 5 packages and the 8 divide the mukaka by the numbers weve got with the answer.

Step-by-step explanation:

Dog weight on the moon = A

Directly proportional

200/32 = 50/A

A = 8 pound

Answer:

Hey thats my name!! Anyways sorry I cant help you unless you give the options.

Step-by-step explanation:

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:

https://brainly.com/question/19365526

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%

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1

Answer:

343

Step-by-step explanation:

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

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]

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

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:

make a stem and leaf plot as it says

Step-by-step explanation:

answer it yourself

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:

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

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

[tex]-\frac{1}{5} (-2\frac{1}{4} )\\\\-\frac{1}{5} (-\frac{9}{4} )\\\\\frac{9}{20}[/tex]

I hope this helps

Answer:

Either the variable or unknown number, it depends on what options you have.

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.

Based on the cashflow of Project M and its appropriate cost of capital, the NPV can be calculated to be $465.92.

The NPV is the present value of the cash inflows less the present value of the cash outflows.

= ∑ (Cash inflow / (1 + cost of capital) ^ year of inflow) - Cost outflow

Solving gives:

= 610 / 1.07 + 740 / 1.07² + 780/ 1.07³ + 860/1.07⁴ + 360 / 1.07⁵ - 2,300

= $465.92

Find out more on Net Present Value at https://brainly.com/question/22785007.

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)

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:

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:

Congrates

Step-by-step explanation: