Answer: x=7
ab=21
bc=14
Step-by-step explanation:
ab=3x
bc=2x±7
ac=42
3x±2x±7=42
5x±7=42
5x=42-7
5x=35
to get the value of x you divide 35 by 5x
35÷5x=7
so the value of x is 7
ab=3x
x=7
3x=7×3x
7×3=21
x=7
2x=7×2x
2×7=14
Given number is 4,8100,000,000,000.
In this number of zero is 11. So we can write it as

But for scientific notation we will enter decimal after two place in reverse direction.For this we will also multiply number by 10^2.
So number will be

So fourth option is correct.
The answer is "It was A Jab Well Done" You have to finish the whole sheet to get the answer
Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:

In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus,
. We use this to find k.







Then

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So


The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Answer:
a) 81
b) 16,807
c) 100
d) 78125
Step-by-step explanation:
a)
3^2 x 3^2
Step 1. Simplify the exponents
3^2 = 3 x 3 = 9
Step 2. Multiply
9 x 9 = 81
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b)
7 x 7^4
Step 1. Simplify the exponent
7^4 = 7 x 7 x 7 x 7 = 2401
Step 2. Multiply
7 x 2401 = 16,807
••••••••••••••••••••••••••••••••
c)
10^9 divided by 10^7
Step 1. Simplify the exponents
10^9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000
10^7 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000
Step 2. Divide
1000000000 divided by 10000000 = 100
••••••••••••••••••••••••••••••••
d)
5^8 divided by 5
Step 1. Simplify the exponent
5^8 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390625
Step 2. Divide
390625 divided by 5 = 78125