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MAXImum [283]
3 years ago
8

How to find the answer

Mathematics
1 answer:
Lina20 [59]3 years ago
8 0
I think that the correct one is the D.
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Write the equation and<br> solve for x.<br> (4n+22) (8n-10)
Sati [7]

Answer:

32n^{2} + 136n − 220

Hope it helps,

Please mark me as the Brainliest

Thank you

8 0
3 years ago
5. The Riverside Geyser in Yellowstone National Park erupts
Anastasy [175]

Answer:

Step-by-step explanation:

<h3>A.</h3>

The equation for the model of the geyser is found by substituting the given upward velocity into the vertical motion model. The problem statement tells us v=69. We assume the height is measured from ground level, so c=0. Putting these values into the model gives ...

  h(t) = -16t² +69t

__

<h3>B.</h3>

The maximum height is at a time that is halfway between the zeros of the function.

  h(t) = -16t(t -4.3125) . . . . . has zeros at t=0 and t=4.3125

The maximum height will occur at t=4.3125/2 = 2.15625 seconds. The height at that time is ...

  h(t) = -16(2.15625)(2.15625 -4.3125) = 16(2.15625²) ≈ 74.39 . . . feet

The maximum height of the geyser is about 74.4 feet.

4 0
2 years ago
Over a three-day weekend, a rental car agency charges $65 to rent a car plus $0.30 for each mile traveled. If y represents the t
raketka [301]
I believe it would be y = $0.30x + $65
5 0
3 years ago
Read 2 more answers
Stacie had a meal that cost $36.00. If she tipped the waited 18% of the total bill for the service, How much was the tip?
Dovator [93]

18% = 0.18

Tip = $36.00 x 0.18 = $6.48

Total bill = $36.00 + $6.48 = $42.48

Answer:

Total bill = $42.48

Tip = $6.48

6 0
3 years ago
A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?
koban [17]

Answer:

  1296√3 cubic units

Step-by-step explanation:

The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.

The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...

  B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units

The volume of the prism is then ...

  V = Bh = (108√3)(12) = 1296√3 . . . cubic units

_____

<em>Comment on the geometry</em>

The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.

6 0
3 years ago
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