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2 years ago

5

A manufacturer makes ball bearings out of molten steel. It takes 5.24 cubic centimeters of molten steel to make ball bearings th

at each have a diameter of 1 centimeter.

1 answer:

dlinn [17]2 years ago

6 0

10 ball bearings is the correct answer, i hope it works

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Factor the expression over the complex numbers.<br><br><img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2B18" id="TexFormula1

AleksAgata [21]

Here we are given the expression:

$x^{2}+18$

Now let us equate it to zero to find x first,

$x^{2}+18=0$

Now subtracting 18 from the other side,

$x^{2}=-18$

taking square root on both sides,

So we will get two values of x as ,

$x=3\sqrt{-2}$

$x=-3\sqrt{-2}$

Now we can write square root -1 as i,

So our factors become,

$x=3i\sqrt{2}$

$x=-3i\sqrt{2}$

Answer:

The final factored form becomes,

$(x+3i\sqrt{2})(x-3i\sqrt{2})$

7 0

2 years ago

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many trees have concentric rings that can be counted to determine the trees age. each ring represents one years growth. a maple

igomit [66]

Answer:

adout 53 Years old

Step-by-step explanation:

2. = 6=12=32. 32/2= 16

5.3=16=32= 16/3=5.333...

5.3x10=S3.3

so adout 53 Years old

8 0

2 years ago

Solve h = −16t2 + 36t + 4.

kvasek [131]

I can do each of the things I asked above.
So, let's change this into vertex form:
$h=-16t^2+36t+4$
$h=(-16t^2+36t)+4$
$h=-16(t^2-2.25t)+4$
$h=-16(t^2-2.25t+1.27-1.27)+4$
$h=-16(t^2-2.25t+1.27)+20.32+4$
$h=-16(t-1.125)^2+24.32$
The vertex is at (1.125,24.32)
<span>Answers may vary due to rounding

</span>Factored Form:
$h = -16t^2 + 36t + 4$
$h = -4\left(4t^2-9t-1\right)$

Quadratic Formula:
$x = \frac{-b +/- \sqrt{b^2-4(a)(c)}}{2a}$
<span>h = -16t^2 + 36t + 4
</span>a = -16 b = 36 c = 4
$h = \frac{-(36) +/- \sqrt{(36)^2-4(-16)(4)}}{2(-16)}$
$h = \frac{-36 +/- \sqrt{1552}}{-32}$
$h = ≈-0.11$
$h = ≈2.36$

5 0

2 years ago

5. Two similar figures have volumes 27 in.? and 125 in.?. The surface area of the smaller figure is 63 in.. (1 point)

GREYUIT [131]

Answer:

$175\ in^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> volume of the larger solid

y----> volume of the smaller solid

$z^{3}=\frac{x}{y}$

we have

$x=125\ in^{3}$

$y=27\ in^{3}$

substitute

$z^{3}=\frac{125}{27}$

$z=\frac{5}{3}$

step 2

Find the surface area of the larger solid

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z----> the scale factor

x----> surface area of the larger solid

y----> surface area of the smaller solid

$z^{2}=\frac{x}{y}$

we have

$z=\frac{5}{3}$

$y=63\ in^{2}$

substitute

$(\frac{5}{3})^{2}=\frac{x}{63}$

$x=\frac{25}{9}*63=175\ in^{2}$

3 0

3 years ago

Write down the equation for the following expression and then solve it.

Tems11 [23]

Answer:

x = 24

Step-by-step explanation:

x - (3 · 4) = 12

x - 12 = 12

+ 12 + 12

x = 24

6 0

2 years ago

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