Answer:
D. 85.7%
Step-by-step explanation:
its figuring out the percentage decrease
so you would go
35-5= 30
30/35 x 100 = 85.7
ANSWER : (9u - 8)2
STEPS:
Step-1 : Multiply the coefficient of the first term by the constant 81 • 64 = 5184
Step-2 : Find two factors of 5184 whose sum equals the coefficient of the middle term, which is -144 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -72 and -72
81u2 - 72u - 72u - 64
Step-4 : Add up the first 2 terms, pulling out like factors :
9u • (9u-8)
Step-5 : Add up the four terms of step 4 :
(9u-8) • (9u-8)
Which is the desired factorization
Answer:
Initial Amount=1
Decay Factor=0.99987
Decay Rate=0.013%
Step-by-step explanation:
If P = 0.99987ᵃ
I. Initial amount
The initial amount is when a=0
P = 0.99987⁰ = 1
The Pressure at Sea Level=1
II. Decay factor
This is like the decay constant. From the model, P = 0.99987ᵃ, the decay constant/factor is 0.99987.
III. Decay Rate = 1-0.99987 = 0.00013
Expressed in Percentage = 0.013%
3x + 22 is the equation that represents the perimeter of the triangle. 4x + 10 is the perimeter of the rectangle. Setting the two equal:

and collecting like terms:

We find that the perimeter of both shapes is equal to 11 units.
<h3>Given:</h3><h3>Large cone:</h3>
<h3>Small cone:</h3>
<h3>Note that:</h3>
<h3>To find:</h3>
- The volume of the frustum of the given cone.
<h3>Solution:</h3>
- Frustum is a part of a cone formed by cutting off the top by a parallel plane.

Let's solve!
First, let's find the volume of the smaller cone.
Substitute the values according to the
formula.


Now, we can round off to the nearest hundredth.
The value in the thousandths place is smaller than 5 so we won't have to round up.

Next, let's find the volume of the bigger cone.
Substitute the values according to the formula.


Now, we can round off to the nearest hundredth.
The value in thousandths place is smaller than 5 so we won't have to round up.

Now, we can find the volume of the frustum.
We'll have to minus the volume of the smaller cone from the bigger cone.


<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>