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scoray [572]
3 years ago
13

Clayton plays basketball on a team. He has played three games so far . In the first game, he scored 10 points. In the second gam

e he scored 14 points. In the third game he scored 6 points. What is clayton 's average points per game?
Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Answer:

Clayton's average points per game is 10

Step-by-step explanation:

To find an average add all the numbers and divide the sum by the amount of numbers added.

In this case, 10 + 14 + 6 = 30. \frac{30}{3} = 10

Hope this helps!

-MoCKEry

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Step-by-step explanation:

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Y''+Y'+Y=1<br> solve ordinary differential equation
taurus [48]

Answer:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

Step-by-step explanation:

y" + y' + y = 1

This is a second order nonhomogenous differential equation with constant coefficients.

First, find the roots of the complementary solution.

y" + y' + y = 0

r² + r + 1 = 0

r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)

r = [ -1 ± √(1 − 4) ] / 2

r = -1/2 ± i√3/2

These roots are complex, so the complementary solution is:

y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)

Next, assume the particular solution has the form of the right hand side of the differential equation.  In this case, a constant.

y = c

Plug this into the differential equation and use undetermined coefficients to solve:

y" + y' + y = 1

0 + 0 + c = 1

c = 1

So the total solution is:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

To solve for c₁ and c₂, you need to be given initial conditions.

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How many of 8ft 2x4 needed for plates
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find the surface area of a right square pyramid if the area of the base is 144 cm squared and the height of the pyramid is 42 cm
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4 0
3 years ago
. 7 prizes are to be distributed between 3 people with a guarantee that each person gets at least one prize. Find the number of
ANEK [815]

Answer:

Total number of ways to distribute the prize = 2187

3^{7}= 2187

Step-by-step explanation:

Given:

Number of prizes = 7

Number of peoples = 3

We need to find the total number of ways to distribute the prize.

Solution:

From the above statement, 7 prizes are to be distributed between 3 people, wherein each person gets at least one prize.

Each prize is to be distributed among three persons. When the first prize is to be awarded, one of the three is chosen to win the prize. When the second prize is to be awarded, there are again three choices.

So, total number of distribution of the prizes is given as:

3\times 3 \times 3\times 3\times 3\times 3\times 3=3^{7}

3^{7}= 2187

Therefore, total number of ways to distribute the prizes = 2187

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3 years ago
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