Answer:
x³ - 6x² + 18x - 10
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
= x³ - 2x² + 12x - 6 - (4x² - 6x + 4)
= x³ - 2x² + 12x - 6 - 4x² + 6x - 4 ← collect like terms
= x³ - 6x² + 18x - 10
The area of the sector is given by the equation,
A = πr²(x / 360°)
where x is the number of degrees in the figure.
25π ft² = (πr²)(60/360)
The value of r is 12.25 ft. Then, we use this value to calculate for the circumference of the sector.
C = 2πr(x/360)
Substituting,
C = 2π(12.45)(60/360)
C = 12.83 ft³
Answer:
The last one
Step-by-step explanation:
Hey There!
The Pythagorean Theorem states that
the two legs squared added together equal the hypotenuse square
we are given the two legs so to find the missing side we square them, then add them together

the missing side length equals

hope this helps!
Answer:
80%; 30%
Step-by-step explanation:
There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.
There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of <em>not</em> drawing a black marble is 8/10 or 4/5 or 80%.
There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.
Answer:
The family will pay 34722 cents more if they take the van
Step-by-step explanation:
Given
Van = 12 miles per gallon
Sedan = 36 miles per gallon
Distance = 2500 miles
Gas = $2.50 per gallon
First, we need to determine the number of gallons that'll be used by both vehicles
This is done by dividing total distance by number of miles per gallon


Next, is to multiply this by the cost of gas per gallon;
This gives the total spendable amount on both vehicles






Next is to get the difference between these amounts


Multiply by 100 to convert to cents


(Approximated)
Hence;
<em>The family will pay 34722 cents more if they take the van</em>