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Komok [63]
2 years ago
13

The volume of a cube with sides of length s is given by v = s3. find the rate of change of the volume with respect to s when s =

3 centimeters.

Mathematics
1 answer:
Tpy6a [65]2 years ago
6 0
I think the unit is cm^2

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Carlos has taken an initial dose of a prescription medication.
Marat540 [252]

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

M(t)=20 e^{-0.86t}

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48

<u>Note: </u> Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

8 0
3 years ago
PLS DO THIS 20 PTS AND BRAINLY
deff fn [24]

The table would be y = 6x

Divide the Y values by the X values and they all equal 6, so you multiply the X value by 6 to get y.

Look at the dots on the graph ( 1,5) (2,10) (3,15) (4,20)

Divide the Y value by the X and they all equal 5, soy = 5x

3 0
3 years ago
Read 2 more answers
Help me please due tommorow
PIT_PIT [208]
To help you you should find a common denominator and then the fraction that has lower numbers is bigger
3 0
2 years ago
There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade on the soccer team. Coach Hart
tatuchka [14]

Answer:

The answer is a). 5/24.

Step-by-step explanation:

For the seventh graders there are 4 Boys + 2 Girls which totals 6 students.

  • The probability that a girl will be picked from the <em>seventh graders is 2/6</em>

For the eighth graders, there are 3 Boys + 5 Girls which totals 8 students

  • The probability that a girl will be picked from the <em>eighth graders is 5/8</em>

To find the<u> probability that both are girls</u>, we multiply the two fractions together:

  • 2/6 * 5/8 = 5/24
7 0
2 years ago
Solve the equation -4x+12=-4 for x .
mihalych1998 [28]
-4x +12 -12 = -4 -12
-4x = -16
x = 4
4 0
3 years ago
Read 2 more answers
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