lovelyy.riss

First we need to find the volume of the cube, which is 4³, or 64.

The equation for the volume of a pyramid is V=(1/3)Bh, where B is the area of the base and h is the height. So, we need to find B. The equation is B=lw, where l=length and w=width. Since it is a square, they are going to be the same. That means B=8(8), or 64.

What we know:

V=(1/3)Bh

V=64

B=64

Substitute:

64=(1/3)(64)h

Solve:

Divide both side by 64 to get 1=1/3h

Multiply both side by 3 to get 3=h

Your answer is:

h=3

They are serving 3 times the amount of people and will need 3 times the amount of water.

3(1/2)=6

They will need 6 cups of water.

1. e(7)=-7²-9(7)

          =-49-63

          =-112

2. a(-4)=40-(-4)³

            =40-(-64) or 40+64

            =104

The equation we'll use is a_n=a₁r^n-1.

a_n is the quantity of the n^th term, a₁ is the first term of the sequence, r is the common ratio, and n is the term you are trying to find.

Given:

a₁=-4300

r=-0.1

n=8

Substitute:

a_n=(-4300)(-0.1)^8-1

Calculate:

a_n=0.00043

Line AB is horizontal. We know that parallelograms have two sets of parallel sides, meaning line CD will also be horizontal, or have a slope of 0.

Next we need to find the slope of line BC, which would be -1/2. That would be parallel to AD.

Point D will be the solution of line CD and AD. The equations for those two lines are:

y=-1/2x+1

y=0

Now substitute.

0=-1/2x+1

-1=-1/2x

2=x

So we take x=2 and y=0 to get the coordinates (2,0).

2+0=2

f(x)=sec(x/2)+7 and f(x)=7sec(x/2) have asymptotes that occur every 2π units.

f(x)=sec(x)+7 has a functional value at on (-7, 7).

Therefore your answer is:

f(x)=7sec(x)