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Romashka-Z-Leto [24]
3 years ago
11

What is 9/8 in simplest from

Mathematics
1 answer:
Alchen [17]3 years ago
3 0
9/8 is in the simplest form
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A pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. The height, h, of th
Gennadij [26K]
<h2>Explanation:</h2>

In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

h(t) = -16t^2 + 84t + 20

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

\text{The x-value of the vertex is}: \\ \\ t=-\frac{b}{2a} \\ \\ \\ Where: \\ \\ a=-16 \\ \\ b=84 \\ \\ c=20 \\ \\ \\ t=-\frac{84}{2(-16)} \\ \\ t=-\frac{84}{-32} \\ \\ t=\frac{21}{8}=2.625 \\ \\ h(2.625)=-16(2.625)^2+84(2.625)+20 \\ \\ h(2.625)=-110.25+220.5+20 \\ \\ h(2.625)=130.25m

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m

8 0
3 years ago
A rectangle has an area of 40 square units. The length is 6<br> units greater than the width.
stiks02 [169]

Answer:

Answer:

The width is 4 units, and the length is 10 units.

Step-by-step.

Step-by-step explanation:

area of rectangle = length * width

Let L = length; let W = width.

"The length is 6 units greater than the width.": L = W + 6

area = LW = 40

Since L = W + 6, we substitute L with W + 6.

(W + 6)W = 40

W^2 + 6W = 40

W^2 + 6W - 40 = 0

(W - 4)(W + 10) = 0

W - 4 = 0 or W + 10 = 0

W = 4 or W = -10

A width cannot be a negative number, so we discard the solution W = -10.

W = 4

L = W + 6 = 4 + 6 = 10

The width is 4 units, and the length is 10 units.

3 0
3 years ago
Read 2 more answers
Which of the following shows this trapezoid rotated 90°
murzikaleks [220]

Answer:

d

Step-by-step explanation:

i did th etst hope it helps

3 0
3 years ago
How many solutions does the system of equations below have? y = 6x − 7 y = 5 3 x + 1 3
True [87]

Answer:

There will be 1 solution to the system of equations.

Step-by-step explanation:

y = 6x - 7

y = 53x + 13

Since the two equations have different slopes and different y-intercepts, there will be 1 solution to the system of equations.

tadah!

4 0
3 years ago
Students have 40 minuets to complete 50 questions on the aspire ___ test
Murljashka [212]
I believe the answer to this is C. English.
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3 years ago
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