3 years ago

In a week, 15 hens laid 75 eggs. what is the unit rate for eggs per hen?

Mathematics

1 answer:

yarga [219]3 years ago

8 0

75 divided by 15 is 5. 5 eggs per hen

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Find the following integral. <br> Integrate x + 5/x^2 +10x +26 dx

sweet-ann [11.9K]

Given :

Polynomial , $f(x)=x+\dfrac{5}{x^2}+10x+26$ .

To Find :

Integration of f(x) .

Solution :

We know , integration of $x^n$ is :

$\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C$

( Here , is C is a constant )

Now ,

$\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\ \\ \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\ \\ \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\ \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C$

Therefore , the integration is $\dfrac{11x^2}{2}+26x-5x^{-1}+C$ .

Hence , this is the required solution .

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Answer: 9/7

Step-by-step explanation:

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2 years ago

A customer owes $33.63 in transaction fees and he/she gives you $40.00. how much change should the customer receive back?

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2 years ago

Connor borrows $8,000 at a rate of 19% interest per year. What is the amount due at the end of 7 years if the interest is compou

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2 years ago

Read 2 more answers

USE the RULE (x,y) -----> (x - 2, y - 4) to graph the image of this rectangle.

Olin [163]

So for example B(4,1) so x=4, y=1
->B'(4-2,1-4)
->B'(2,-3)

->A'(1-2,1-4)
->A'(-1,-3)

->C'(4-1,-2-4)
->C'(3,-6)

->D'(1-2,-2-4)
->D'(-1,-6)

so the image of the rectangle ABCD->A'B'C'D'

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2 years ago