Practice:
1. A.
2. D. y=5+0.84x-0.03x^2, x>=0
3. B. y=2/x, x>0
Quiz:
1. A C E. (-4,4) (0,0) (6,9)
2. A. y=-1/3x+19/3
3. D. x=2y^2-1, y>=0
4. B. y=3/x^2, x>0
The volume of a rectangular prism is simply length * width * height.
Therefore, all we have to do to find the height of the cereal box is divide the volume by the width and the length.
144 / 8 = 18
18 / 1.5 = 12
The cereal box is 12 inches tall.
Hope that helped =)
<span>I am assuming that this is a parametric curve.
We see that the curve intersects the x-axis when:
t - t^2 = 0 ==> t = 0 and t = 1.
Then, since x = 1 + e^t is an increasing function, the curve is being traced exactly once on the interval (0, 1).
Using the fact that the area under the curve given by the parametric equations x = f(t) and y = g(t) on (a, b) is:
A = ∫ f'(t)g(t) dt (from t=a to b),
and that f(t) = 1 + e^t ==> f'(t) = e^t, the area under the curve is:
A = ∫ e^t(t - t^2) dt (from t=0 to 1)
= e^t(-t^2 + 3t - 3) (evaluated from t=0 to 1), by integrating by parts
= e(-1 + 3 - 3) - (0 + 0 - 3)
= 3 - e. </span>
X = 7 + staci since 7 more cats added to x is stacis amount
Answer: The measure of the third angle of a triangle is 64°.
Step-by-step explanation:
Since we have given that
First angle = 44°
Second angle = 72°
Let the third angle be x.
As we know that the sum of all three angles of a triangle is supplementary.
Hence, the measure of the third angle of a triangle is 64°.