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Iteru [2.4K]
4 years ago
13

What is the derivative of the 5th root of t^3?

Mathematics
1 answer:
mariarad [96]4 years ago
6 0

\bf y=t^{\frac{3}{5}}\implies \cfrac{dy}{dt}=\stackrel{\textit{using the power rule}}{\cfrac{3}{5}t^{\frac{3}{5}-1}}\implies \cfrac{dy}{dt}=\cfrac{3}{5}t^{-\frac{2}{5}}
\\\\\\
\cfrac{dy}{dt}=\cfrac{3}{5t^{\frac{2}{5}}}\implies \cfrac{dy}{dt}=\cfrac{3}{5\sqrt[5]{t^2}}

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Pavlova-9 [17]

Answer:

What is this?

Step-by-step explanation:

6 0
3 years ago
The ratio of Melanie's allowance to Jacob's allowance is 4.1 to 20.5. If Jacob gets $5.00, how much allowance does Melanie get?
BartSMP [9]

If Melanie get's 4.10$, then Jacob get's 20.50$.

We can divide to get the unit rate:

20.50 ÷ 4.10 = 5

This means that if Jacob gets 5$, then Melanie will get 1$.

So in this case, Melanie get's 1$.

6 0
3 years ago
Read 2 more answers
Find the value of the variables
konstantin123 [22]

Answer:

x=2

y=7

Step-by-step explanation:

Since we know that the object is a rectangle, we know that the opposite sides are equal to each other. Thus:

9 = y+2

and

2y = 7x

Using algebra we can solve the first equation:

9 = y+2

9-2 = y

7 = y

Now we can use substitution:

2y = 7x

2(7)=7x

14=7x

x=2

7 0
3 years ago
Select the correct answer. What is the inveSelect the correct answer.
Oksi-84 [34.3K]

Answer:

x + 3 / 2 = y

Step-by-step explanation:

to change a function to its inverse we need to do three basic things

1. change f(x) to y

so for the example i gave which is f(x) = 2x - 3; this will now be

y = 2x - 3

2. we need to switch the position of the x's and y's, that means x becomes y and y becomes x

x = 2y - 3

3. finally we make y the subject of the formula

x + 3/ 2 = y, this new expression for y is the inverse of the function and can be written as

f^-1(x) = x + 3/2

7 0
4 years ago
A shelf can hold 32 pounds of fruit. Each basket weighs 32 ounces. How many baskets can the shelf hold?
wariber [46]

Answer:

16

Step-by-step explanation:

you have to see how many pounds is in 32 oz then divide it 32÷2=16.

7 0
3 years ago
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