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3 years ago

Someone PLEASE help with the two I haven’t done yet. I don’t understand it.

Mathematics

1 answer:

fiasKO [112]3 years ago

8 0

#15.
K = mv/2, bring the two over to the left side by multiplying.

2k = mv, divide m from the v, sine it shows m times v, and you get

V = 2k/m

Try doing the same thing in for #14. It's the same method.

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An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the

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The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium.

<h3>Can this atrium be built in the rectangular plot of land?</h3>

The atrium with the maximum allowable radius (R), in feet, is represented in the image attached. The real atrium is possible if and only if the real radius (r) is less than the maximum allowable radius and therefore, the real volume (V), in cubic feet, must be less than than maximum possible volume (V'), in cubic feet.

First, we calculate the volume occupied by the maximum allowable radius:

V' = (8 · π / 3) · (45 ft)³

V' ≈ 763407.015 ft³

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium. $\blacksquare$

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2 years ago

Find the x-intercepts of the parabola with

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Answer:

x-intercepts are (0, 0) and (-6, 0)

Step-by-step explanation:

equation of a parabola in vertex form: y = a(x - h)² + k

where (h, k) is the vertex

Substituting the given vertex (-3, -18) into the equation:

y = a(x + 3)² - 18

If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:

0 = a(0 + 3)² - 18

⇒ 0 = a(3)² - 18

⇒ 0 = 9a - 18

⇒ 9a = 18

⇒ a = 2

Therefore, y = 2(x + 3)² - 18

To find the x-intercepts, set the equation to 0 and solve for x:

2(x + 3)² - 18 = 0

Add 18 to both sides: 2(x + 3)² = 18

Divide both sides by 2: (x + 3)² = 9

Square root both sides: x + 3 = ±3

Subtract 3 from both sides: x = ±3 - 3

so x = 3 - 3 = 0

and x = -3 - 3 = -6

So x-intercepts are (0, 0) and (-6, 0)

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