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3 years ago

-8 x f(0) +4 x g(-8)=

Mathematics

1 answer:

Anni [7]3 years ago

6 0

Answer: -32

Explanation:

Use the graph when it is referring to f(x) and g(x) to find those answers.

-8 * 1 + 4 * -6 = -32

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Will the quotient of 2÷1/3 be smaller or bigger than each term? Explain in words.

RSB [31]

In short, if the denominator is a decimal or a fraction and you have an integer in the numerator, the numerator gets blown up.

so if you divide by 1/2, the numerator blows up to twice as large, if you divide by 1/5, to five times as large, if you divide by 1/3... well, let's see,

$\bf 2\div \cfrac{1}{3}\implies \cfrac{2}{1}\div \cfrac{1}{3}\implies \cfrac{2}{1}\cdot \cfrac{3}{1}\implies \cfrac{6}{1}\implies 6$

why is that? well, you're dividing, and so is saying "how many times 1/3 goes into 2"?

well, 1/3 + 1/3 + 1/3 = 3/3 or 1, so in 1 whole, the fraction goes there 3 times, so in 2 wholes, it'll be 6 times.

3 0

3 years ago

Cody's fence must have sides that are twice as long as the sides of his neigbore fence. His neigbors fence contains an area of 8

KatRina [158]

Answer: 59.58 ft

Step-by-step explanation:

Given

The area of the neighbor's fence is $A=887.5\ ft^2$

Suppose the length of the fence is L and the shape of the fenced area is square

So, we can write

$\Rightarrow L^2=887.5\\\Rightarrow L=\sqrt{887.5}=29.79\ ft$

According to the question, Cody's fence length must be twice of neighbor's

The length of Cody's fence is $=2L=2\times 29.79=59.58\ ft$

3 0

3 years ago

HELP PLEASE BRAINLIEST TO WHOEVER GETS IT RIGHT.

lisov135 [29]

Answer:

I believe the answer is D; 5/20+(-12/20).

Step-by-step explanation:

1/4-3/5

5/20-12/20

-7/20

5/20+(-12/20)

5/20-12/20

-7/20

Hope this helps! :D

4 0

3 years ago

A common assumption in modeling drug assimilation is that the blood volume in a person is a single compartment that behaves like

mixas84 [53]

Answer:

a) $\mathbf{\dfrac{dx}{dt} = 30 - 0.015 x}$

b) $\mathbf{x = 2000 - 2000e^{-0.015t}}$

c) the steady state mass of the drug is 2000 mg

d) t ≅ 153.51 minutes

Step-by-step explanation:

From the given information;

At time t= 0

an intravenous line is inserted into a vein (into the tank) that carries a drug solution with a concentration of 500

The inflow rate is 0.06 L/min.

Assume the drug is quickly mixed thoroughly in the blood and that the volume of blood remains constant.

The objective of the question is to calculate the following :

a) Write an initial value problem that models the mass of the drug in the blood for t ≥ 0.

From above information given :

$Rate _{(in)}= 500 \ mg/L \times 0.06 \ L/min = 30 mg/min$

$Rate _{(out)}=\dfrac{x}{4} \ mg/L \times 0.06 \ L/min = 0.015x \ mg/min$

Therefore;

$\dfrac{dx}{dt} = Rate_{(in)} - Rate_{(out)}$

with respect to x(0) = 0

$\mathbf{\dfrac{dx}{dt} = 30 - 0.015 x}$

b) Solve the initial value problem and graph both the mass of the drug and the concentration of the drug.

$\dfrac{dx}{dt} = -0.015(x - 2000)$

$\dfrac{dx}{(x - 2000)} = -0.015 \times dt$

By Using Integration Method:

$ln(x - 2000) = -0.015t + C$

$x -2000 = Ce^{(-0.015t)$

$x = 2000 + Ce^{(-0.015t)}$

However; if x(0) = 0 ;

Then

C = -2000

Therefore

$\mathbf{x = 2000 - 2000e^{-0.015t}}$

c) What is the steady-state mass of the drug in the blood?

the steady-state mass of the drug in the blood when t = infinity

$\mathbf{x = 2000 - 2000e^{-0.015 \times \infty }}$

x = 2000 - 0

x = 2000

Thus; the steady state mass of the drug is 2000 mg

d) After how many minutes does the drug mass reach 90% of its stead-state level?

After 90% of its steady state level; the mas of the drug is 90% × 2000

= 0.9 × 2000

= 1800

Hence;

$\mathbf{1800 = 2000 - 2000e^{(-0.015t)}}$

$0.1 = e^{(-0.015t)$

$ln(0.1) = -0.015t$

$t = -\dfrac{In(0.1)}{0.015}$

t = 153.5056729

t ≅ 153.51 minutes

4 0

3 years ago

Use a number line to help you find the sum of -24+8

Triss [41]

Answer:

-16

Step-by-step explanation:

When adding a negative and a positive number, you need to keep in mind that your are essentially adding.

so if I have a number line

-24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14,,,,

you will start at -24 and will go up the number line (to the right) 8 times and that should get you your answer.

6 0

3 years ago