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Finger [1]
3 years ago
7

EASY MATH PLEASE HELP!

Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

40 Percent

Step-by-step explanation:

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A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $
Aleksandr [31]
If $200 is the maximum a coach can spend on new shorts, and needs at least 15 shorts, then you could divide or use an inequality. first take the maximum number (200) and the minimum amount (15s) and use the minimum and maximum signs of knowledge to form an inequality. you should end up with 15s<200.
3 0
3 years ago
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Let divf = 6(5 − x) and 0 ≤ a, b, c ≤ 12. (a) find the flux of f out of the rectangular solid 0 ≤ x ≤ a, 0 ≤ y ≤ b, and 0 ≤ z ≤
dusya [7]
Continuing from the setup in the question linked above (and using the same symbols/variables), we have

\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}(\nabla\cdot f)\,\mathrm dV
=\displaystyle6\int_{z=0}^{z=c}\int_{y=0}^{y=b}\int_{x=0}^{x=a}(5-x)\,\mathrm dx\,\mathrm dy\,\mathrm dz
=\displaystyle6bc\int_0^a(5-x)\,\mathrm dx
=6bc\left(5a-\dfrac{a^2}2\right)=3abc(10-a)

The next part of the question asks to maximize this result - our target function which we'll call g(a,b,c)=3abc(10-a) - subject to 0\le a,b,c\le12.

We can see that g is quadratic in a, so let's complete the square.

g(a,b,c)=-3bc(a^2-10a+25-25)=3bc(25-(a-5)^2)

Since b,c are non-negative, it stands to reason that the total product will be maximized if a-5 vanishes because 25-(a-5)^2 is a parabola with its vertex (a maximum) at (5, 25). Setting a=5, it's clear that the maximum of g will then be attained when b,c are largest, so the largest flux will be attained at (a,b,c)=(5,12,12), which gives a flux of 10,800.
7 0
3 years ago
Estimate by rounding the first factor to the nearest thousand. 1,912 x 8
Vika [28.1K]

Answer:

15,000

Step-by-step explanation:

1912* 8 =15,296

To the nearest thousand = 15,000

5 0
3 years ago
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Quadrilateral wxyz is a paralelogram if w=50<br> what is wzy
slega [8]
It means different digits.
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8 0
2 years ago
Express it in slope-intercept form.
natka813 [3]

Hey there! :)

Answer:

y = 1/4x - 3.

Step-by-step explanation:

Use the slope-formula to find the slope of the line:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in two points from the line. Use the points (-4, -4) and (0, 3):

m  = \frac{-3 - (-4)}{0 - (-4)}

Simplify:

m = 1/4.

Slope-intercept form is y = mx + b.

Find the 'b' value by finding the y-value at which the graph intersects the y-axis. This is at y = -3. Therefore, the equation is:

y = 1/4x - 3.

7 0
2 years ago
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