Answer:
Step-by-step explanation:
p(A) = a^3 + 3a^2 + 9a + 27
put brackets around the 1st and second terms and another set around the 3rd and 4th
P(a)= (a^3 + 3a^2) + (9a + 27)
Using the distributive property, pull out the common factor for each of the 2 terms that contain the brackets.
P(a) = a^2 ( a + 3) + 9(a + 3)
Let a + 3 = x
P(a) = a^2x + 9x
Put brackets around these 2 terms
P(a)= x(a^2 + 9)
Substitute a + 3 for x
P(a) = (a + 3) ( a^2 + 9)
Answer:
3 years
Step-by-step explanation:
set two equations in inches and equate
Answer:
300 square inches
Step-by-step explanation:
Area of a Trapezoid = 1/2 (b1 + b2 ) × h
h = height 20 inches
b1 = First base = ?
b2 = Second base = ?
From the Question
b1 + b2 = 30 Inches
Hence,
Area of the Trapezoid = 1/2 (30) × 20
= 1/2 × 30 inches × 20 inches
= 300 square inches
The Area of the Trapezoid = 300 Square inches
Answer:
Option 2: 1.5 is the correct answer.
Step-by-step explanation:
Given information is:
Mean = μ = $27
SD = σ = $5.50
A z-score simply tells us how far a selected data value from the mean is.
Z-score is denoted by z and is given by the formula:

Let x = $35.25
Putting the values of mean and SD we get,

The value of z-score for a price of $35.25 per barrel is 1.5
Hence,
Option 2: 1.5 is the correct answer.
$363.73
The sales tax is $23.73
Steps:
Sales tax is calculated by multiplying the purchase price by the sales tax rate to get the amount of sales tax due. The sales tax added to the original purchase price produces the total cost of the purchase.
So 340 • 6.89%
340• .0698= 23.732
If it’s a percentage you move the decimal two places to the left
340 + 23.73 = 363.73
Hope this helps