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4 years ago

Find the anti derivative of f(x)=fourth root(x^3)+cube root(x^2)

1 answer:

4 0

$\int {( \sqrt[4]{ x^{3} } + \sqrt[3]{ x^{2} }) } \, dx = \\ = \int {( x^{3/4}+ x^{2/3} )} \, dx = \\ \frac{ x^{7/4} }{7/4}+ \frac{ x^{5/3} }{5/3}+C = \\ \frac{4 \sqrt[4]{ x^{7} } }{7}+ \frac{3 \sqrt[3]{ x^{5} } }{5}+C$

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Work out m and c for the line:<br> y = 2x

zepelin [54]

M is equal to 2
C = 0

4 0

3 years ago

Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They

ehidna [41]

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

$P = 2$

$G = 3$

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

This gives:

$P(G_1\ and\ G_2) = P(G_1) * P(G_2)$

$P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}$

$P(G_1\ and\ G_2) = \frac{3}{10}$

$P(P_1\ and\ P_2) = P(P_1) * P(P_2)$

$P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}$

$P(P_1\ and\ P_2) = \frac{1}{10}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

So, we have:

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

$P(Same) = \frac{3}{10} + \frac{1}{10}$

$P(Same) = \frac{3+1}{10}$

$P(Same) = \frac{4}{10}$

$P(Same) = \frac{2}{5}$

8 0

3 years ago

Calculate the slope of the line going through A(-4,3) and B(0,6) PLEASE ANSWER

Alex

Answer:

6-3/0-(-4)

=3/4

Step-by-step explanation:

Given two points of a line to find the slope, we use the formula.y2-y1/x2-x1 hence the answer above. Our xs are x2=0 x=-4 y2=6 y1=3

7 0

3 years ago

What is the minimum number of the data set shown on the box-and-whisker plot?

Dmitriy789 [7]

Hello there, and thank you for posting your question here on brainly.

Short answer: C. 9

Why?

Box and whisker plots are confusing, the line in the middle is the median, but we don't need to do that now. The dots on the lines outside of the box show the largest and the shortest number. The plotted point on the way left is your answer, the line plotted is 9.

[Mark as Brainliest!]

3 0

4 years ago

Can somebody solve this?

lisabon 2012 [21]

Answer:

x= 2

Step-by-step explanation:

Isolate the radical

Raise each side of the equation to the power of 3

5 0

3 years ago

Read 2 more answers