Answer:

Step-by-step explanation:
Given


Required
Determine the height at the third rebound
At first rebound;

Second rebound

Third rebound

Hence; the equation is:

Solving further;

Answer:
5 weeks
Step-by-step explanation:
Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.
To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60
Now that we have the decimal form of the percent we can multiply it by the 70 to find how much she saves a week:
(70)(.6) = 42
Therefore, Kendra saves $42 each week.
To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42. Like this:
(210)/(42) = 5
All in all, it will take Kendra 5 weeks to save enough money to buy a game system that costs $210.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
<em />
Answer: 12.
To solve this problem, let's first solve for x. Thi is easiest done by figuring what QR is in terms of x using two equations, both from different lines.
In the first line:
QR = 15 - 4x.
In the third line:
QR = 13x - 1 - x = 12x - 1.
Now, we have to set these equations equal to each other.
15 - 4x = 12x - 1
15 = 16x - 1
16x = 16
x = 1
Next, we take line three, 13x - 1, and substitute x as 1. The answer is 12.
Answer:
First question, x= 10^10.
Second question is 10!. or 362880
Step-by-step explanation:
First Question:
Simple logx has a base of 10, i.e log10 x,
the question will be 10 = log10 x,
when taking the base "10" from the right side to the left, the number on the left side becomes the power of the base, in this case 10 from the right will be base and 10 from the left will power and log will vanish.
x=10^10.
Another example with different numbers
Y=logx if Y= 12, What is x?
The base is ten when not given,so:
12=logx
10^12=x
Second Question;
simple multiplication just multiply the numbers.
10! is pronounced as 10 factorial,
5! will be 5x4x3x2x1=120
Answer:
This is important because, the first few numbers might seem to follow a pattern but subsequent numbers might reveal a change in the rule.
Step-by-step explanation:
When studying patterns it is important to evaluate all the figures holistically instead of drawing conclusions based on just the first few numbers because there might be a change in what we felt was obvious on close observance of all the numbers. For example, observe the pattern;
2,4,6, 10, 14, 18, 20, 22, 24
The first two numbers show the addition of two. If a person decides to add 2 to all the figures, he would be wrong because after the first three figures, he would have to add 4 to the numbers.