A ball is dropped from a height of 12 feet and returns to a height that is one-half of the height from which it fell. The ball continues to bounce half the height of the previous bounce each time. How far will the ball have traveled when it hits the ground for the fourth time?

Answers

Answer 1

Answer: 1 st hit=12 ft
2nd hit=2*6=12 ft
3rd hit=2*3=6 ft
4th hit=2*1.5=3 ft
total distance=12+12+6+3=33 ft

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g(p)=(p-2 )and g(x)=(p^3+4p^2-2) evaluate g(p)*h(p) by modeling or by using the distributive property.

Answers

Given that g(p)=p-2 and

$h(p)=p^3+4p^2-2$

Now we have to evaluate g(p)*h(p) by modeling or by using the distributive property.

We know that g(p)*h(p) means just multiply expressions of g(p) with h(p)

which can be shown as following:

$g(p)*h(p)=(p^3+4p^2-2)(p-2)$

Apply distributive property

$g(p)*h(p)=p(p^3+4p^2-2)-2(p^3+4p^2-2)$

$g(p)*h(p)=p^4+4p^3-2p-2p^3-8p^2+4$

$g(p)*h(p)=p^4+2p^3-2p-8p^2+4$

$g(p)*h(p)=p^4+2p^3-8p^2-2p+4$

Hence final answer is $g(p)*h(p)=p^4+2p^3-8p^2-2p+4$

if the volume of a pyramid is 18,069,333.333 and the base is 193600 what is the hieght of the pyramid

Answers

Answer:

280

Step-by-step explanation:

Area= $(1)/(3)$ bh

18,069,333.333= $(1)/(3)$ (193,600)h

multiply both sides by 1/3: 54208000=193,600h

divide both sides by the 193600: h=280

In the __________ numbering system, all numeric values are written as sequences of 0s and 1s. a. hexadecimal b. binary c. octal d. decimal

Answers

Answer:

Therefore, the correct answer is b) binary.

Step-by-step explanation:

the binary numbering system, all numeric values are written as sequences of 0s and 1s. The binary system is a base-2 numbering system, which means it only uses two digits: 0 and 1. Each digit in a binary number represents a power of 2. For example, in the binary number 1010, the rightmost digit represents 2^0, the next digit represents 2^1, the next digit represents 2^2, and so on. Binary numbers are commonly used in computer systems to represent and manipulate data. Each binary digit, or bit, can represent two possible states: 0 or 1. By combining multiple bits, binary numbers can represent larger values.

Need help please answer

Answers

Simple....

1.) $5 x^(2) y √(2y)$ (Simplify the radical by breaking the radicand up into a product of known factors)

2.) $7 n^(2) √(10mn)$ (Simplify the radical by breaking the radicand up into a product of known factors)

Thus, your answer.

A student spins a spinner and rolls a number cube. Is that independent or dependent

Answers

Independent because the outcome of the spin does not affect the outcome of the number cube and vice versa.

There are three consecutive odd integers so that twice the largest of the three is 6 more than the sum of the other two. Find all three consecutive odd integers.

Answers

Step-by-step explanation:

ur answer....here u gi

Final answer:

The question asks for three consecutive odd numbers under a specified condition. After creating and solving an equation based on the given conditions, we find the numbers to be 5, 7, and 9.

Explanation:

We are given that there are three consecutive odd integers that follow a certain rule. Let's denote the smallest of these three numbers as x. Because the numbers are consecutive and odd, the next two numbers will be x + 2 and x + 4.

The problem states that twice the largest of the three numbers (2*(x+4)) is 6 more than the sum of the other two numbers (x + (x + 2)). In equation form, this is: 2*(x+4) = (x + x + 2) + 6.

Solving for x, we find that x = 5. So, the three consecutive odd numbers are 5, 7, and 9, which meet the conditions provided in the problem.

Learn more about Consecutive odd numbers here:

brainly.com/question/35983904

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