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MatroZZZ [7]
3 years ago
14

How can you compare two fractions? Use complete sentences.

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

You can simplify the fraction to get the most simplified answer then you can compare them or multiply the top or the bottom of the fraction to start comparing the fractions.

Step-by-step explanation:

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The function C(h)=(2h^2+5h)/(h^3+8) models the concentration of medication in the bloodstream (as a percent) h hours after its i
salantis [7]

Answer:

  1. h ≥ 0
  2. C = 0; concentration eventually decays to nothing
  3. (0, 0) is the only intercept in the domain. It means the concentration in the bloodstream is zero at the time the drug is injected.
  4. 1.95 hours

Step-by-step explanation:

1. a. The domain of the function in the context of this problem is h ≥ 0. The maximum value of h will correspond to the time at which the concentration is considered to be negligible. If that time is when the concentration decays to 1% of its peak value, then perhaps the suitable domain is 0 ≤ h ≤ 180.

b. The equation of the vertical asymptote of this function is where the denominator of C(h) is zero, that is ...

  h^3 +8 = 0

  h = ∛(-8)

  h = -2 . . . . the equation of the vertical asymptote

This is not a concern for a medical professional because it is outside the domain of the function.

__

2. As h gets large the value of the function approaches 2/h, which is to say the horizontal asymptote is C = 0. It means the concentration of medication in the blood eventually decays to zero.

__

3. C(0) = 0 is the only intercept in the domain of the function. (h, C(h)) = (0, 0)

In the context of this problem, it means the blood concentration of medication is zero at the time of the injection.

__

4. About 1.95 hours after injection, a maximum concentration of the drug occur in the bloodstream. This value is easily found using a graphing calculator.

Taking the derivative of the function gives you ...

  C'(h) = -2(h^4 +5h^3 -16h -20)/(h^3 +8)^2

This has two real zeros and two complex zeros. The positive real zero is near h = 1.94527, about 1.95.

That is, the concentration in the bloodstream reaches a maximum about 1.95 hours after injection into the muscle.

5 0
3 years ago
12 cups every 5 hours. Express this rate of flow in gallons per week
Sedaia [141]

Answer:

25.2 gallons per week

Step-by-step explanation:

7 0
2 years ago
The inside edges of the bend are extended by using a straightedge and marking with a pencil. The point at which the lines inters
oee [108]

Answer:

Center of the Bend  ( A )

Step-by-step explanation:

when the inside edge of a bend is extended using a straightedge and also been marked with a pencil the intersecting point of the lines making up the bend is most likely to occur at the center of the bend this is because the center of the bend is the Origin of  the formation of the bend.

8 0
3 years ago
In 2015 a publishing company ordered 50,000 reams of paper. The next year they ordered 65,000 reams of paper. By what percent di
nordsb [41]

Answer:

33.3333...

Step-by-step explanation:

50000 ÷ 15000, which is the increase = 0.3333333

Times by 100 for percent

8 0
3 years ago
What’s all input for f(x)=3
defon

Answer:

all inputs are equal to <u>3</u>

Step-by-step explanation:

f(x) = 3 \\  =  3 \times 1\\  = 3  \times  {x}^{0}  \\ anything \: raised \: to \: 0 \: is \: 1 \\

\\  substituting \: any \: value \\  \: of \: x \: in \: f(x) \\ f(3) = 3 \times  {3}^{0}  \\  = 3 \times 1 \\ =  3 \\

\\ similarly \: all \: values \: of \: x \: will \\ give \: 3

8 0
2 years ago
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