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Sphinxa [80]
3 years ago
15

If the running track is 400 m long and leah runs 12 laps each day, how far does she run in total in meters?

Mathematics
1 answer:
lara [203]3 years ago
3 0
Leah runs 4800 meters in total
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Find the volume of the cylinder whose base area is (4x)2 and height is (5x)2.
Gre4nikov [31]

Answer:

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

As we know that

The Volume of the cylinder is

= base × height

= (4x)^2 + (5x)^2

=16x^2 + 25x^2

= 41x^3

Hence, the volume of the cylinder is 41x^3

4 0
2 years ago
Round 26 to its greatest place value
Crank
26 27 28 29 30 so 25 24 23 22 21---so 30 is the awnser
6 0
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( 1 0 3) + (4 1 7) The first entry of the resulting matrix is:
Mamont248 [21]
Hello!

When adding matrices you add the numbers that are in the same position

1 + 4 = 5

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7 0
3 years ago
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Mr. George owns 425 acres of land. If he divides the land into half-acre plots, how many plots will he have?
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7 0
3 years ago
A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice th
STatiana [176]

Answer:

The equation for the curve is:

f(x) = 7*e^{2*x}

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

f(x) = A*e^{k*x}

Replacing that in the second equation, we get:

k*A*e^{k*x} = 2*A*e^{k*x}

From that equation, we can conclude that k = 2

Then:

f(x) = A*e^{2*x}

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

f(0) = 7 =  A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A

Then we can conclude that the equation for the curve is:

f(x) = 7*e^{2*x}

6 0
2 years ago
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