Ill give brainiest to whom ever gets this correct
2 answers:
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Answer:
The values of a and b are a = 11 , b = 7
Step-by-step explanation:
* Lets explain how to solve the problem
* In the exponential functions we have some rules
1- In multiplication if they have same base we add the power
# Ex: b^m × b^n = b^(m + n) ⇒ b is the base , m and n are the powers
2- In division if they have same base we subtract the power
# Ex: b^m ÷ b^n = b^(m – n) ⇒ b is the base , m and n are the powers
3- If we have power over power we multiply them
# Ex: (b^m)^n = b^(mn) ⇒ b is the base , m and n are the powers
* Lets solve the problem
∵ The equation is ⇒ (1)
- At first multiply the coefficients
∵ -4 × 5 = -20
- Multiply the base x
∵
- Multiply the base y
∵
∴ ⇒ (2)
- By comparing (1) and (2)
∴ a = 11 and b = 7
* The values of a and b are a = 11 , b = 7
Answer:
0.08 pounds per pint.
Step-by-step explanation:
Given: The density of a certain material is such that it weighs 10 ounces per gallon.
We are to express this density in pounds per pint.
1 gallon ⇒ 10 ounces
1 pound = 16 ounces
How many pounds? = 10 ounces.
Cross-multiplying gives;
pounds
1 gallon = 8 pints
The density in pounds per pint is;
0.625 pounds ÷ 8 pints = 0.078125 pounds per pint = 0.08 pounds per pint (answer rounded up to the nearest hundredth).