Answer:
Step-by-step explanation:
In exponent multiplication, if two numbers have same base, just add the exponents
In exponent division, if two numbers have same base, just subtract the exponents
Prime factorize 4 = 2*2 = 2²
4⁻¹ *(2³÷ 4⁻² )= (2²)⁻¹ * ( 2³÷ (2²)⁻²
= (2⁻²)* (2³ ÷2⁻⁴)
![= 2^{-2} * (2^{3-[-4]})\\\\= 2^{-2} * (2^{3+4})\\\\= 2^{-2} * 2^{7}\\\\= 2^{-2+7}\\\\= 2^{5}\\\\= 2 * 2 * 2 * 2 * 2\\\\= 32](https://tex.z-dn.net/?f=%3D%202%5E%7B-2%7D%20%2A%20%282%5E%7B3-%5B-4%5D%7D%29%5C%5C%5C%5C%3D%202%5E%7B-2%7D%20%2A%20%282%5E%7B3%2B4%7D%29%5C%5C%5C%5C%3D%202%5E%7B-2%7D%20%2A%202%5E%7B7%7D%5C%5C%5C%5C%3D%202%5E%7B-2%2B7%7D%5C%5C%5C%5C%3D%202%5E%7B5%7D%5C%5C%5C%5C%3D%202%20%2A%202%20%2A%202%20%2A%202%20%2A%202%5C%5C%5C%5C%3D%2032)
Rate per tacos= 6/4=1.5 so he bought 10 tacos for $15
The linear equation for the remaining Federal Helium Reserves, r(t) = 20 -1.9t
There is 20 billion cubic feet of Helium in 2010. Helium is depleted by about 1.9 billion cubic feet each year.
Let 'r' denotes the remaining Federal Helium Reserves in billions of cubic feet.
Let 't' denotes the number of years since 2010.
We have to find a linear equation to represent the depletion of Helium through years since 2010. A linear equation will have two variables, one dependent and one independent variable. Here, let 'r' be the dependent variable and 't' be the independent variable.
Then the amount of Helium depleted in 't' years = 1.9t
So, the remaining Helium in the Federal Helium Reserve since 2010 = 20 - 1.9t.
Thus, r(t) = 20 - 1.9t
This is a linear equation because it depends on only one variable, 't'.
Learn more about linear equations at brainly.com/question/15602982
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Answer:
Jason would have 5 ounces of berries left. 3 ounces of blackberries and 2 ounces of raspberries.
Step-by-step explanation:
Step-by-step explanation:
the three angles =180
because they are <u>supplementary angles </u>
<em>I hope this help</em>
