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pantera1 [17]
3 years ago
15

The aorta pumps blood away from the heart at about 40 cm/s and has a radius of about 1.0 cm. It then branches into many capillar

ies, each with a radius of about 5×10−4 cm carrying blood at a speed of 0.10 cm/s. How many capillaries are there?
a. 1.6×109
b. 16
c. 8.0×105
d. 1.6×105
Mathematics
1 answer:
Vesnalui [34]3 years ago
5 0

Answer:

  a.  1.6×10^9

Step-by-step explanation:

The blood volume flowing per second is the same in each vessel, so we have ...

  r_1^2v_1=n\cdot r_2^2v_2\\\\1^2\cdot 40=n\cdot (5\times 10^{-4})^2\cdot 0.1\\\\\dfrac{40}{2.5\times 10^{-8}}=n=1.6\times 10^9

There are about 1.6×10^9 capillaries.

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If w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expr
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Answer:

the first one

(-2) 2-(-8)+1

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2 years ago
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12n^3 + 16n^3 can someone please help me with this?
vodka [1.7K]

Answer:

4n^{3} (3n^{2} + 4)

Step-by-step explanation:

Assuming the problem is asking you to factor out the formula, it can be done easily by finding a common number with the two givens.

4 goes into both 12 and 16 evenly, so we will use this to factor. But that's not all, we have the n-variable to worry about.

Look at the n-variable exponents in the problem, take the highest power that can go be subtracted from both and use that. We have a n^{5} and n^{3}. Since 5 can't go into 3, we must use 3 to factor.

Our factoring variable will therefore be 4n^{3}. Now, use this to simply divide and get the answer:

( 12n^{5} + 16n^{3} ) / 4n^{3}  = 4n^{3}(3n^{2} + 4)

So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.

When dividing the 12 and 4, minus the n^{5} and n^{3} to get n^{2}. Get rid of the n^{3} term for the 16 and leave the 4. And there's your answer!

7 0
3 years ago
The product of 4 and a number f decreased by 2 is 15
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Answer:  The number is:  "2 " .

__________________________________________

Step-by-step explanation:

__________________________________________

Write the expression; which is an equation, as follows:

__________________________________________

    " 4x − 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .

___________________________________________

Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;

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Rewrite as:  " 4x − 12 = -2x " ;

_____________________________________________

    →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                     4x − 12 + 12 + 2x = -2x + 12 + 2x ;

          to get:    6x  = 12  ;

____________________________________________________

Now, divide each side of the equation by "6" ;

    to isolate "x" on one side of the equation; & to solve for "x" ;

____________________________________________________

                        6x / 6  =  12 / 6 ;

                   to get:    x = 2 .

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Answer:  The number is:  "2 " .

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Let us check our answer, by plugging in "2" for "x" in our original equation:

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       →   " 4x − 12 = 2(-x) " ;

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       →   " 4(2) − 12 = ?  2(-2) ??

       →    8 − 12 = ?  -4 ? ;

       →    -4 = ? -4 ??  Yes!

__________________________________________________    

7 0
2 years ago
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At how many different times will the digit 7 appear on a digital clock in 24 hours?(show your work and explain your strategy bel
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3 years ago
For what values of $x$ is $$\frac{x^2 + x + 3}{2x^2 + x - 6} \ge 0?$$ note: be thorough and explain why all points in your answe
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To solve the inequality \frac{x^2+x+3}{2x^2+x-6}\ge \:0

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\mathrm{Choosing\:ranges\:that\:satisfy\:the\:required\:condition:}\:\ge \:\:0

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5 0
3 years ago
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