Answer:
1/(m^4*n^2
Step-by-step explanation:
The given expression is
(m^2*n^-3)/(m^6*n^-1)
Tyrone's approach.
Raising the expression to the 3rd power will not help. It will make the expression more complicated.
Alisha's approach.
(m^2*n^-2)/(m^6*n^-1)
= m^(2-6)*n^(-3+1)
= m^-4*n^-2
= 1/(m^4*n^2)
Alisha's approach will simplify the expression to 1/(m^4*n^2
Answer:
3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product
Step-by-step explanation:
This question can be solved by a rule of three.
A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product.
1 + 3/4 cups = 1 + 0.75 = 1.75 cups for one batch.
How many total cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product?
2 and 1/2 batches is 2 + 0.5 = 2.5 batches.
1.75 cups for one batch. How many cups for 2.5 batches? So
1 batch - 1.5 cups
2.5 batches - x cups
c = 2.5*1.5 = 3.75
3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product
Given:
![f(x)=\sqrt[]{5x^2-2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B%5D%7B5x%5E2-2%7D)
f(X) will be differentiated by chain rule.
![\begin{gathered} f^{\prime}(x)=\frac{1}{2\sqrt[]{5x^2-2}}\lbrack5(2x)\rbrack \\ f^{\prime}(x)=\frac{5x}{\sqrt[]{5x^2-2}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%5E%7B%5Cprime%7D%28x%29%3D%5Cfrac%7B1%7D%7B2%5Csqrt%5B%5D%7B5x%5E2-2%7D%7D%5Clbrack5%282x%29%5Crbrack%20%5C%5C%20f%5E%7B%5Cprime%7D%28x%29%3D%5Cfrac%7B5x%7D%7B%5Csqrt%5B%5D%7B5x%5E2-2%7D%7D%20%5Cend%7Bgathered%7D)
Answer:
a=10 students because there are 10 answers.
b=5
Step-by-step explanation:
a=10 students because there are 10 answers.
b, you need to list the numbers all out and rearrange them from smallest to largest.
0, 0, 1, 2, 3, 7, 9, 10, 13, 15
The median means the middle which is 3 and 7
Because we have two numbers, we need to find the middle number of 3 and 7 which is <u><em>5</em></u>
