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3 years ago

Ellus

Mathematics

1 answer:

butalik [34]3 years ago

4 0

9514 1404 393

Answer:

2.25

Step-by-step explanation:

Add the square of half the x-coefficient to complete the square.

(-3/2)² = 9/4 = 2.25

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Can someone please help me

aniked [119]

#1 √ 75

Answer : 5√3 or ≈ 8.66025

#2 √ 48

Answer : 4√3 or ≈ 6.9282

#3 √ 128

Answer : 8√2 or ≈ 11.31371

#4 √ 300

Answer : 10√3 or ≈ 17.32051

~~

#5 √⅔

Answer :

$\frac{ \sqrt{6} }{3} = 0.816497$

#6 √16/4

Answer : 2

#7 √ 6/8

Answer :

$\frac{ \sqrt{3} }{2} = 0.866025$

#8 √27/9

Answer : √ 2 or ≈ 1.73205

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

5 0

4 years ago

Does 30,40,45 make a right triangle?

zavuch27 [327]

I believe that it does.

8 0

4 years ago

the volume v of a right circular cylinder of radius r and heigh h is V = pi r^2 h 1. how is dV/dt related to dr/dt if h is const

laiz [17]

In general, the volume

$V=\pi r^2h$

has total derivative

$\dfrac{\mathrm dV}{\mathrm dt}=\pi\left(2rh\dfrac{\mathrm dr}{\mathrm dt}+r^2\dfrac{\mathrm dh}{\mathrm dt}\right)$

If the cylinder's height is kept constant, then $\dfrac{\mathrm dh}{\mathrm dt}=0$ and we have

$\dfrac{\mathrm dV}{\mathrm dt}=2\pi rh\dfrac{\mathrm dt}{\mathrm dt}$

which is to say, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ are directly proportional by a factor equivalent to the lateral surface area of the cylinder ( $2\pi r h$ ).

Meanwhile, if the cylinder's radius is kept fixed, then

$\dfrac{\mathrm dV}{\mathrm dt}=\pi r^2\dfrac{\mathrm dh}{\mathrm dt}$

since $\dfrac{\mathrm dr}{\mathrm dt}=0$ . In other words, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dh}{\mathrm dt}$ are directly proportional by a factor of the surface area of the cylinder's circular face ( $\pi r^2$ ).

Finally, the general case ( $r$ and $h$ not constant), you can see from the total derivative that $\dfrac{\mathrm dV}{\mathrm dt}$ is affected by both $\dfrac{\mathrm dh}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ in combination.

8 0

3 years ago

Solve 5n -14≤11 <br>*10 points*

Sedbober [7]

Answer:

n ≤ 5

Step-by-step explanation:

First, we add 14 to both sides. This gets us 5n ≤ 25. Next, we divide both sides by 5. This gets us n ≤ 5. I hope this helps!

4 0

3 years ago

Give an estimate of the mean hardness that you would expect after 37 and 41 hours; and a 85% confidence interval for each estima

Jlenok [28]

The predicted value of hardness at 37 hours is 243.87 and an 85% confidence interval for the mean hardness is (242.12, 245.61). At 41 hours, the predicted hardness is 252 and an 85% confidence interval for mean hardness is (249.83, 254.18). The confidence interval for X is equals to 41 which is wider because the value 41 is farther away from the sample mean X than is 37. As an outcome, the standard error for the prediction is larger.

4 0

3 years ago