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Law Incorporation [45]

1 year ago

8

Jan's office contains 12 file cabinets.

1 answer:

expeople1 [14]1 year ago

6 0

57 im pretty sure maybe

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In a group of 90 seventh

Firdavs [7]

90 x .80= 72. 72 Students like hot choco, therefore 8 do no like hot choco

5 0

3 years ago

Read 2 more answers

The frequency distribution of two data sets are shown in the dot plots below

crimeas [40]

Answer:

1,4,6

Step-by-step explanation:

not sure it’s common sense

4 0

3 years ago

Solve the initial value problem y'=2 cos 2x/(3+2y),y(0)=−1 and determine where the solution attains its maximum value.

zloy xaker [14]

Answer:

$y=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

$x={\pi}{4}$

Step-by-step explanation:

We are given that

$y'=\frac{2cos2x}{3+2y}$

y(0)=-1

$\frac{dy}{dx}=\frac{2cos2x}{3+2y}$

$(3+2y)dy=2cos2x dx$

Taking integration on both sides then we get

$\int (3+2y)dy=2\int cos 2xdx$

$3y+y^2=sin2x+C$

Using formula

$\int x^n=\frac{x^{n+1}}{n+1}+C$

$\int cosx dx=sinx$

Substitute x=0 and y=-1

$-3+1=sin0+C$

$-2=C$

$sin0=0$

Substitute the value of C

$y^2+3y=sin2x-2$

$y^2+3y-sin 2x+2=0$

$y=\frac{-3\pm\sqrt{(3)^2-4(1)(-sin2x+2)}}{2}$

By using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$y=\frac{-3\pm\sqrt{9+4sin2x-8}}{2}=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

Hence, the solution $y=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

When the solution is maximum then y'=0

$\frac{2cos2x}{3+2y}=0$

$2cos2x=0$

$cos2x=0$

$cos2x=cos\frac{\pi}{2}$

$cos\frac{\pi}{2}=0$

$2x=\frac{\pi}{2}$

$x=\frac{\pi}{4}$

3 0

3 years ago

Casey uses some of his savings on batting practice the cost of renting a batting cage for one hour is six dollars he rents a cag

uysha [10]

6 times 9 equals $54.

4 0

3 years ago

Suppose that the mean of your 50 rolls is x = 3.25. Are you suspicious about the fairness of the die? Justify your answer.

Romashka-Z-Leto [24]

Answer:

3.25x50=21

Step-by-step explanation:

6 0

3 years ago