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zhenek [66]
3 years ago
6

A beach ball rolls off a cliff and onto the beach. The height, in feet, of the beach ball can be modeled by the function h(t)=64

–16t^2, where t represents time, in seconds.
What is the average rate of change in the height, in feet per second, during the first 1.25 seconds that the beach ball is in the air?
Mathematics
2 answers:
True [87]3 years ago
6 0

You are given h(t) = 64–16t^2.

You need to find h(1.25).

Set up:

h(1.25) = 64 - 16(1.25)^2

Take it from here.

AVprozaik [17]3 years ago
6 0

Answer:

Step-by-step explanation:

Given the height of a beach ball rolling off a cliff as a function of time

h = 64 — 16t²

We want to find the average change in height when t = 1.25s

The rate of change of height is the differentiation of the height I.e

∆h/∆t → dh/dt

Therefore

h = 64 — 16t².

Therefore

Differential of a constant is zero

dh/dt = —32t

At t = 1.25s

dh/dt = —32(1.25)

dh/dt = —40 ft/s

So, the height is reducing at a rate of 40ft in every seconds.

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Does the addition problem show a way to add 27 + 38?
Dmitry [639]

Answer:

a. yes

b. no

c. yes

d. yes

Step-by-step explanation:

For a, 27 + 38 can be broken apart. 27 is broken up by adding smaller numbers (20 + 7 = 27) and the same is done with 38 (30 + 8 = 38), so A and C shows a way to add 27 and 38. In C, the numbers are just put into a different order. B is not a way to add 27 and 38, because the sum is different.

27 + 38 = 65, however 20 + 70 + 38 = 128. The addition problem for D is a way to solve for 27 + 38, because it is broken up differently than A and C. They instead added the 20 and 30 together first, then split up 15 (from 8+7) into 10 and 5. So D is a way to solve, because it gets the same answer as 27 and 38 :D

8 0
3 years ago
Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 8.1
Ymorist [56]

Answer:  12.5 CC

Step-by-step explanation:

V=1/3Bh where B is the area of the base and h is the height

The perimeter of the square base is 8.6 so each side is 2.15 and the area of the base is (2.15)^2 or 4.6225

V=1/3(4.6225)(8.1)=12.5cc

4 0
2 years ago
A farmer has 5 times as many cows as horses.
Assoli18 [71]

Answer:

The correct answer is !40 cows and 28 Horses

Step-by-step explanation:

h+5h=168

6h=168

h=168/6

h=28 horses.

5*28=140 cows.

Proof:

28=140=168

168=168

7 0
3 years ago
Can someone please help me ASAP
forsale [732]

Answer:

its B

Step-by-step explanation:

8 0
3 years ago
1. (Sec. 6.1) In a random sample of 80 components of a certain type, 12 are found to be defective. (a) Give a point estimate for
denis-greek [22]

Answer:

(a) 0.85

(b) 0.7225

Step-by-step explanation:

(a) The point estimate for the proportion of all such components that are not defective is given by the number of non-defective units in the sample divided by the sample size:

p=\frac{80-12}{80}\\p=0.85

The proportion is 0.85.

(b) Assuming that the sample is large enough to accurately provide a point estimate for the whole population, this can be treated as a binomial model with probability of success (non-defective part) p = 0.85. Since both components must be non-defective for the system to work, the probability of two successes in two trials is:

P(x=2) = 0.85^2\\P(x=2) = 0.7225

An estimate of 0.7225 for the proportion of all such systems that will function properly.

4 0
2 years ago
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