Answer:
<u><em>(x+5) is not a factor of f(x)</em></u>
Step-by-step explanation:
Step 1 : we solve the equation x +5 = 0
x + 5 = 0 then x = -5
Step 2: we plug in -5 into f(x)
If we get zero then x+5 is a factor of f(x)
If we get a number other than zero then x+5 is not a factor of f(x)
Calculation:
f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233
Since we got -233 and not 0
Therefore ,(x+5) is not a factor of f(x)
Given:
Width of rectangular prism = 20 ft
height of rectangular prism = 12 ft
Length of rectangular prism = 45 ft
Cylindrical diameter = 20 ft
To find:
Volume of the tent
Solution:
Volume of the rectangular prism = length × width × height
= 45 × 20 × 12
Volume of the rectangular prism = 10800 ft³
Radius of cylinder = 20 ÷ 2 = 10 ft
Height of cylinder = length of rectangular prism
Volume of cylinder = 
Volume of half cylinder = 
Volume of half cylinder = 7069.5 ft³
Volume of tent = volume of rectangular prism + volume of half cylinder
= 10800 ft³ + 7069.5 ft³
= 17869.5 ft³
= 17869 ft³ (nearest cubic foot)
The volume of the tent is 17869 cubic feet.
Answer:
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.
State the hypotheses.
State the critical value(s).
State the test statistics.
State the decision
State the conclusion.
Answer:
tickets: $14
popcorn: $10
total: $24
Step-by-step explanation:
2 movie tickets at $7 each is 2*7 which is $14
2 buckets of popcorn at $5 each is 2*5 which is $10
adding these together we get a total spending of $24
