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Mandarinka [93]
2 years ago
9

25. An apple is launched directly upward at 64 feet per second from a platform 80 feet high. The equation for this

Mathematics
1 answer:
Viktor [21]2 years ago
3 0

Answer:

a. 144 ft

b. 5 s

Step-by-step explanation:

h = -16t² + 64t + 80

a. This is a parabola, so the maximum height is at the vertex.

t = -64 / (2 × -16)

t = 2

h = -16(2)² + 64(2) + 80

h = 144

The apple reaches a maximum height of 144 ft.

b. 0 = -16t² + 64t + 80

0 = t² − 4t − 5

0 = (t + 1) (t − 5)

t = -1 or 5

t must be positive, so it takes 5 seconds to reach the ground.

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We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.

Then, we use direct substitution:
f(-4) = -(-4) - 5
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3 years ago
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Answer:

C. It has been stretched horizontally.

Step-by-step explanation:

According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.

The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.

Since the parabola appears to be flatter than the parent function, we can say that C. It has been stretched horizontally.

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3 years ago
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How do I find:<br> If 6^x=1/216,find the value of x with and without a Casio calculator?
san4es73 [151]

Answer:

The value of x is -3.

Step-by-step explanation:

To find x, we have to put everything in base 6 and continue to simplify. Since we know that 216 is 6^3, we can replace that.

6^x = 1/216

6^x = 1/(6^3)

Now, when there is a power in the denominator, we know we can move it to the numerator by making it negative. We can do that to get the bases to match.

6^x = 1/(6^3)

6^x = 6^-3

Now that they are both put in simple base 6 systems, we can just eliminate the bases and assume that the powers are equal. This lets us know that x = -3.

8 0
2 years ago
Leon wants to estimate the proportion of the seniors at his high school who like to watch football. He interviews a simple rando
cupoosta [38]

Answer:

Yes, the random conditions are met

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Thus, we can say that:Yes, the random condition for finding confidence intervals is met because the values of np^ and n(1 − p^) are greater than 10.

Also, Yes, the random condition for finding confidence intervals is met because the sample size is greater than 30.

Confidence interval approach is valid if;

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These two conditions are met by the sample described in the question.

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Simplify the sum. (7u3 + 8u2 + 7) + (8u3 – 3u + 7)
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