Bradley dropped a ball from a roof 16feet high. Each time the ball hits the ground it bounces 3/5 the previous height. Find the height ball will bounce after hitting the ground the fourth time

Final answer:

The product of 1/2 multiplied by 1/2 is 1/4, which is less than 1/2. Therefore, when 1/2 is multiplied by 1/2, the result is not greater than 1/2.

Explanation:

When multiplying fractions, we multiply the numerators (the top numbers) to get the new numerator and the denominators (the bottom numbers) to get the new denominator. In this case, when we multiply 1/2 by 1/2, we multiply 1 (numerator) by 1 (numerator) to get 1 as the new numerator and 2 (denominator) by 2 (denominator) to get 4 as the new denominator. So, 1/2 times 1/2 equals 1/4.

When comparing 1/4 and 1/2, we can easily see that 1/4 is less than 1/2. Hence, the product of 1/2 times 1/2 is not greater than 1/2 - it is, in fact, less than 1/2. So, the answer is no.

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Answer:

b(4) = -14

Step-by-step explanation:

b(n)=4-6(n-1)

let n=4

b(4) = 4 - 6(4-1)

b(4) = 4-6*3

b(4) = 4-18

b(4) = -14

This is about the properties of exponents.

The properties of exponents are explained below.

Exponents are values which are powers that show how many times we have to multiply a base number by itself.

The examples of properties of exponent are;

• Product of powers; What this means is that when we multiply two or more bases that have same value, we will retain the bases and just add the exponents together. For Example; 4² × 4³; We will just retain the  base of 7 and add both exponents to get; 4⁵

• Quotient of Powers; What this means is that when we divide two bases that have same value, we will retain the bases and just subtract the second exponent from the first one. For example; 7⁵ ÷ 7²; We will just retain the  base of 7 and subtract 2 from 5 to get; 7⁽⁵ ⁻ ²⁾ = 7³

• Power to a Power; What this means is that when we have a power raised to another power, we multiply the exponents together and retain the base number. For example; 4²⁽³⁾; we multiply 3 by 2 to get; 4⁶.

• Power of a Product; What this means is that when we have two bases multiplying each other in a bracket being raised to a power, we distribute the power to each of the bases. For example (xy)⁴ will give us; x⁴y⁴

• Power of a quotient; What this means is that when we have two bases dividing each other in a bracket being raised to a power, we distribute the power to each of the bases. For example (x/y)⁴ will give us; x⁴/y⁴

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Final answer:

The mean of the numbers 11,-7,-14,10,-5 is found by adding all the numbers together, and then dividing by the number of numbers. In this case, the mean is -1.

Explanation:

To find the mean of the numbers 11,-7,-14,10,-5, you'll want to add all of these numbers together then divide by the amount of numbers there are. This is because the mean is the average value of a set of numbers.

First, add up all your numbers: 11 + -7 + -14 + 10 + -5, which totals to -5. There are 5 numbers in the set, so to find the mean, you then divide -5 by 5, which equals -1. So, the mean of the set of numbers 11, -7, -14, 10, -5 is -1.

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