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Alexeev081 [22]

4 years ago

7

A 2 liter bottle is filled completely with water from a faucet in 10 seconds how much water is filled into the bottle each secon

d

1 answer:

KIM [24]4 years ago

3 0

Well, first you would start with dividing a 2 Liter bottle by the amount of time which is 10. 2Liters/ 10= 0.2

0.2 L

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Find the value of x, giving reasons for your answer:

Dmitry [639]

Answer:

145 degrees.

Step-by-step explanation:

Because the lines are the same length on each half we know that the corner opposite to the right angle is also a rangle. In a quadrilateral (4 sided shape) the angles should add up to 360 degrees. We now have the total as x + 35 + 90 + 90 = 360 which when rearranged gives x = 145 degrees.

7 0

3 years ago

Multiple-Choice Integration, Picture Included, Please Include Work

ValentinkaMS [17]

$\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx$

Recall that a circle of radius 2 centered at the origin has equation

$x^2+y^2=4\implies y=\pm\sqrt{4-x^2}$

where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius $r$ is $\pi r^2$ , it follows that the area of a quarter-circle would be $\dfrac{\pi r^2}4$ .

You have $r=2$ , so the definite integral is equal to $\dfrac{2^2\pi}4=\pi$ .

Another way to verify this is to actually compute the integral. Let $x=2\sin u$ , so that $\mathrm dx=2\cos u\,\mathrm du$ . Now

$\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx=\int_0^{\pi/2}\sqrt{4-(2\sin u)^2}(2\cos u)\,\mathrm du=4\int_0^{\pi/2}\cos^2u\,\mathrm du$

Recall the half-angle identity for cosine:

$\cos^2u=\dfrac{1+\cos2u}2$

This means the integral is equivalent to

$\displaystyle2\int_0^{\pi/2}(1+\cos 2u)\,\mathrm du=2u+\sin2u\bigg|_{u=0}^{u=\pi/2}=\pi$

4 0

3 years ago

How to graph the function y=x/4?

grin007 [14]

Start at 0,0 and go up on over 4 and keep going and do it both ways
until you run out of room

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4 years ago

If the x-values are increasing by 3, and

Marianna [84]

Answer:

a=5/3

Step-by-step explanation:

y=a*x

y+5=a*(x+3)

so 5=3a

a=5/3

4 0

3 years ago

If x < -3, then (x+31 = ?

mixer [17]

Answer:

answer≤27

Step-by-step explanation:

then the answer for x could be -4 or lower so -4+31 is 27 so the answer would be any number less than or equal to 27

6 0

3 years ago