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1 year ago

9

Will give brainliest!!

1 answer:

zloy xaker [14]1 year ago

3 0

Answer:

27

Step-by-step explanation:

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What is an ecosystem?

Phoenix [80]

Answer:

4

Step-by-step explanation:

8 0

2 years ago

The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

7 0

2 years ago

Which of the following is an equation for the plane through the point (1, 1, −1) and parallel

Bas_tet [7]

The given plane, $x-y+z=3$ , has normal vector $\vec n = \langle1,-1,1\rangle$ . Any plane parallel to this one has the same normal vector.

Let $(x,y,z)$ be any point in the plane we want. The plane contains the point (1, 1, -1), so an arbitrary vector in this plane is

$\langle x,y,z\rangle - \langle 1,1,-1\rangle = \langle x-1, y-1, z+1 \rangle$

and this is perpendicular to $\vec n$ .

So the equation of the plane is

$\langle x-1, y-1, z+1 \rangle \cdot \vec n = 0 \implies (x-1) - (y-1) + (z+1) = 0 \implies \boxed{x - y + z = -1}$

or equivalently,

$\boxed{-x + y - z = 1}$

6 0

1 year ago

Carter invested 540 in an account paying an interest rate of 4 and 7/8% compounded monthly. Jack invested 540 in an account payi

alukav5142 [94]

Answer:

Step-by-step explanation:

4 0

2 years ago

A spinner marked A, B, C is spun then a 6-sided die is rolled. What is the probability of getting a B and then a 6.

BigorU [14]

Given:

A spinner marked A, B, C is spun then a 6-sided die is rolled.

To find:

The probability of getting a B and then a 6.

Solution:

We know that,

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

Total possible values for a spinner are 3. So, the probability of getting B, we get

$P(B)=\dfrac{1}{3}$

Total possible values for a die are 6. So, the probability of getting 6, we get

$P(6)=\dfrac{1}{6}$

Now, the probability of getting a B and then a 6 is

$P(B,6)=\dfrac{1}{3}\times \dfrac{1}{6}$

$P(B,6)=\dfrac{1}{18}$

The required probability is $\dfrac{1}{18}$ .

Therefore, the correct option is D.

5 0

2 years ago