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snow_tiger [21]
3 years ago
11

Assume that an average cell has a diameter of

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

Given that the volume of a cell is 50 cubic micrometers. It says to find the number of cells present in 1 cubic centimeter.

So we need to first convert the units of volume of a cell, then we can find the total number of cells in 1 cubic centimeter.

We know 1 meter = 100 centimeters = 1000000 micrometers

So 1 centimeter = 10000 micrometers

Taking Cubic powers on both sides :-

1 cubic centimeters = 10¹² cubic micrometers

1 cubic micrometers = 10⁻¹² cubic centimeters

50 cubic micrometers = 50 × 10⁻¹² = 5 × 10⁻¹¹ cubic centimeters

So volume of one cell = 5 × 10⁻¹¹ cubic centimeters

Number of cells = \frac{Total\;\; volume}{Volume\;\; of\;\; one\;\; cell}  = \frac{1\;cm^{3}}{5 * 10^{-11}\;cm^{3}} = \frac{10^{11}}{5} = 2 × 10¹⁰ cells.

So, total number of cells = 2 × 10¹⁰ cells.

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Determine the inverse of the function. (show work please)
uysha [10]

Answer:

This is easy -- it's just a list of steps.  At this level, the problems are pretty simple.

Let's just do one, then I'll write out the list of steps for you.

Find the inverse of f( x ) = -( 1 / 3 )x + 1

STEP 1:  Stick a "y" in for the "f(x)" guy:

y = -( 1 / 3 )x + 1

STEP 2:  Switch the x and y

                   ( because every (x, y) has a (y, x) partner! ):

x = -( 1 / 3 )y + 1

STEP 3:  Solve for y:

x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3

STEP 4:  Stick in the inverse notation, f^( -1 )( x )

f^( -1 )( x ) = -3x + 3

Step-by-step explanation:

5 0
3 years ago
The temperature was-6F.It rose so that the temperature was 0F
qaws [65]

Answer:

+6?

Step-by-step explanation:

Sorry I just don't understand what your question is...

8 0
2 years ago
M² + 18m - 81 help me please ​
Marina CMI [18]
The question is incomplete
7 0
3 years ago
X + 4y = 13 <br> x - y = 3<br> systems of equations I need help on a couple of these like ASAP
lara31 [8.8K]
A.)
Slope:-1/4
Y intercept: (0,13/4)
X intercepts:(13,0)
B.)
X intercepts:(3,0)
Y intercepts:(0,-3)
4 0
3 years ago
Please help Explanation will be appreciated thanks,
Genrish500 [490]

Answer: A; 6.3%

Step-by-step explanation:

Problem 1

For the first problem, we first want to find y so that we can plug it into the expression.

We can use elimination method for the system of equations to solve.

3x+3y=21

3x-y=5

We subtract both equations to eliminate x.

4y=16                                        [divide both sides by 4]

y=4

Now that we know y, we can plug it into the expression.

\frac{4}{2} -3                                         [divide]

2-3                                         [subtract]

-1

We know that the answer is A.

--------------------------------------------------------------------------------------------------------

Problem 2

For the second problem, we need to know how to calculate percent error. The formula for precent error is \frac{|measured-exact|}{exact} *100%. We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.

\frac{|75-80|}{80} *100%                               [subtract]

\frac{|-5|}{80} *100%                                   [solve absolue value]

\frac{5}{80} *100%                                     [divide]

0.0625*100%                               [multiply]

6.25

Since the problem said to round to one decimal place, we know that the answer is 6.3%.

4 0
2 years ago
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