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4 years ago

8

a solution consisting of 52 mg of dopamine in 26 mL of solution at a rate of 10 mL/hr what is the flow rate in mg of dopamine pe

r hour

1 answer:

aivan3 [116]4 years ago

4 0

Answer:

20 mg / hour

Step-by-step explanation:

The first step is to find the mg/mL of dopamine.

If there are 52 mg / 26 mL, then there are 2 mg / 1 mL (just reduce the fraction).

If we are losing 10 mL / 1 hour, and there are 2 mg / mL, then the flow rate of dopamine mg / hour is 20.

You can also do this using dimensional analysis.

$\frac{52 mg}{26 mL} (\frac{10 mL}{1 hour})$

Just cross out the units that cancel in the numerator and denominator (mL in this case), and you're left with mg / hour. Then multiply the numerators and divide by the denominators. You get the same answer.

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A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. Th

jenyasd209 [6]

Answer:

A: yes, there is a strong correlation. 1,000 for every 50 +100, meaning the equation is linear.

B: y= 6x +10

C: the y intercept represents how many products you can make with out employees, and the slope represents how many you can make with a given number of employees.

Step-by-step explanation:

do not copy, used this, get in trouble for plagiarism.

5 0

3 years ago

The Ratio of red jackets to blue jackets is 3 to 4. If there were 36 blue jackets in the closet, how many red jackets would be t

oksian1 [2.3K]

Answer:

27

Step-by-step explanation:

The 4 part of the ratio refers to 36 blue jackets.

Divide 36 by 4 to find the value of one part of the ratio

36 ÷ 4 = 9 ← value of 1 part of the ratio, then

3 parts = 3 × 9 = 27 ← number of red jackets

3 0

3 years ago

g(x)=2x+9g, left parenthesis, x, right parenthesis, equals, 2, x, plus, 9 g ( g(g, left parenthesis ) = 15 )=15right parenthesis

Dmitriy789 [7]

Answer:

I don't understand your question

6 0

3 years ago

Read 2 more answers

5 burgers and 3 fries cost $23.

Mashutka [201]

...........................

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4 years ago

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false:

kondaur [170]

$\text{Proof by induction:}$
$\text{Test that the statement holds or n = 1}$

$LHS = (3 - 2)^{2} = 1$
$RHS = \frac{6 - 4}{2} = \frac{2}{2} = 1 = LHS$
$\text{Thus, the statement holds for the base case.}$

$\text{Assume the statement holds for some arbitrary term, n= k}$
$1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2} = \frac{k(6k^{2} - 3k - 1)}{2}$

$\text{Prove it is true for n = k + 1}$
$RTP: 1^{2} + 4^{2} + 7^{2} + ... + [3(k + 1) - 2]^{2} = \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2} = \frac{(k + 1)[6k^{2} + 9k + 2]}{2}$

$LHS = \underbrace{1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2}}_{\frac{k(6k^{2} - 3k - 1)}{2}} + [3(k + 1) - 2]^{2}$
$= \frac{k(6k^{2} - 3k - 1)}{2} + [3(k + 1) - 2]^{2}$
$= \frac{k(6k^{2} - 3k - 1) + 2[3(k + 1) - 2]^{2}}{2}$
$= \frac{k(6k^{2} - 3k - 1) + 2(3k + 1)^{2}}{2}$
$= \frac{k(6k^{2} - 3k - 1) + 18k^{2} + 12k + 2}{2}$
$= \frac{k(6k^{2} - 3k - 1 + 18k + 12) + 2}{2}$
$= \frac{k(6k^{2} + 15k + 11) + 2}{}$
$= \frac{(k + 1)[6k^{2} + 9k + 2]}{2}$
$= \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2}$
$= RHS$

Since it is true for n = 1, n = k, and n = k + 1, by the principles of mathematical induction, it is true for all positive values of n.

3 0

4 years ago