Answer:
27 9/16 21/16 1
Step-by-step explanation:
The table with the input and output values for the exponential function is the following:
x −3 −2 −1 0 1 2 3
f(x) 8/27 8/9 8/3 8 2/4 7/2 2/16
Now we have to take three output values that are three values apart and calculate their ratio. Let's take x=0 and x=-3. The output ratio is:
Let's now take x=1 and x=-2:
And so on:
So, the ratios are:
27 9/16 21/16 1
Answer:
vol = 62 in³
Step-by-step explanation:
First determine r (see attached image) by using pythagorean theorem.
a² = b² + c²
a = 3 in
b = 3/2 = 1.5 in
c = r
3² = 1.5² + r²
r =
r = 2.598 in
Get the area = n/2 * a * r
n = number of sides = 6
r = 2.598 in
Area = 6/2 * 3 * 2.598
Area = 23.38 in²
get the volume = 1/3 * Area * h
Area = 23.38 in²
h = 8 in (as given)
vol = 1/3 * 23.38 * 8
vol = 62 in³
Width = w=?
Length = l=(3w+8)cm
Perimeter = p = 128cm
Perimeter of a Rectangle = length + length + width + width
Perimeter of a Rectangle =2 length +2 width
P = 2l +2 w
128=2(3w+8)+2w
128=6w+16+2w
128-16=8w
112=8w
112/8=8w/8
14=w
w=14
Width = w= 14cm
Length = l=(3w+8)=3(14)+8 = 42+8 = 50cm
10x+10y=1
x=y-3
10(y-3)+10y=1
10y-30+10y=1
20y=31
y=31/20