D. Cortney did 4 more jumping jacks per minute than Mallory.
I'm not very sure with this question and I wish It had given me more details
Answer:
yes; the new blended interest rate is lower than the old blended interest rate
Step-by-step explanation:
Answer:
x=2
z=80
Step-by-step explanation:
Since (7x+66) and (11x+78) are a linear pair, their measures are supplementary and therefore add up to 180 degrees. z and (7x+66) are also vertical angles, meaning that they are equal.
7x+66+11x+78=180
18x+144=180
18x=36
x=2
z=7x+66=7(2)+66=14+66=80
Hope this helps!
If

represent a family of surfaces for different values of the constant

. The gradient of the function

defined as

is a vector normal to the surface

.
Given <span>the paraboloid

.
We can rewrite it as a scalar value function f as follows:

The normal to the </span><span>paraboloid at any point is given by:

Also, the normal to the given plane

is given by:

Equating the two normal vectors, we have:
</span>

Since, -1 = 2 is not possible, therefore
there exist no such point <span>
on the paraboloid
such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>
.
The answer is 7/9
P(A or B) = P(A) + P(B) - P(A and B)
P(A) = 11/18
P(B) = 5/18
<span>p(A and B) = 2/18
</span>P(A or B) = 11/18 + 5/18 - 2/18 = (11 + 5 - 2)/18 = 14/18 = 7/9