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3 years ago

5

The diameter of a blood cell is measured in micrometers .A micrometer is 0.0000001 meter . Which expression represents this numb

er in scientific notation?

1 answer:

oksian1 [2.3K]3 years ago

5 0

1 * 10^-7
This is because you add a power to 10 for each decimal move to make it a whole number.

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Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,

kompoz [17]

If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

$V_{flask}=V_{sphere}+V_{cylinder}.$

Use following formulas to determine volumes of sphere and cylinder:

$V_{sphere}=\dfrac{4}{3}\pi R^3,\\ \\V_{cylinder}=\pi r^2h,$

wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

$V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;$
$V_{cylinder}=\pi r^2h=\pi \cdot \left(\dfrac{1}{2}\right)^2\cdot 3=\dfrac{3\pi}{4}\approx 2.36;$
$V_{flask}=V_{sphere}+V_{cylinder}\approx 47.71+2.36=50.07.$

Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

Write the new fask volume:

$V_{\text{new flask}}=V_{\text{new sphere}}+V_{\text{new cylinder}}=\dfrac{4}{3}\pi R'^3+\pi r'^2h'=\dfrac{4}{3}\pi (2R)^3+\pi (2r)^2\cdot 2h=\dfrac{4}{3}\pi 8R^3+\pi \cdot 4r^2\cdot 2h=8\left(\dfrac{4}{3}\pi R^3+\pi r^2h\right)=8V_{flask}.$

Then

$\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.$

Answer 2: correct choice is D.

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3 years ago

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Find the value of x and y in the following figure where ABCD is a parallelogram<br><br>

asambeis [7]

Answer:

x = 3

y = 2

Step-by-step explanation:

Diagonals of a parallelogram bisect each other into two equal segments. Therefore:

3x - 1 = 2(x + 1)

Solve for x

3x - 1 = 2x + 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Also:

5y + 1 = 6y - 1

Collect like terms

5y - 6y = -1 - 1

-y = -2

Divide both sides by -1

y = -2/-1

y = 2

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3 years ago

The midpoint of AB is M(-3,2). If the coordinates of A are (-1, -3), what are

BaLLatris [955]

Answer:

the coordinates of B is (-5,7)

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3 years ago

Mary drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles?

alexgriva [62]

Answer: 13.60 gallons divide 355 by 17 to get the base miles per gallon then use that and divide it 284 by 20.88

Step-by-step explanation:

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4 years ago

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(2 + 3i) + (3 – 4i)<br><br> (3 – 5i) – (–2 – i)<br><br> (2 − 4i)(1+ 3i) <br><br> 2i(−1+ 3i)

grandymaker [24]

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

(2 + 3i) + (3 - 4i)
<u>5 - i</u>

<u>Question 2</u>

(3 – 5i) – (–2 – i)
3 - 5i + 2 + i
<u>5 - 4i</u>

<u>Question 3</u>

(2 − 4i)(1+ 3i)
2 - 4i + 6i - 12i²
<u>14 + 2i</u>

<u>Question 4</u>

2i(-1 + 3i)
-2i + 6i²
<u>-6 - 2i</u>

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2 years ago