Answer:
A = (2x² + 4x + 1) (8 − x)
A = -2x³ + 12x² + 31x + 8
Step-by-step explanation:
W = 2x² + 4x + 1
L = 8 − x
Area is width times length.
A = (2x² + 4x + 1) (8 − x)
If you wish, you can simplify with distribution.
A = 8 (2x² + 4x + 1) − x (2x² + 4x + 1)
A = 16x² + 32x + 8 − 2x³ − 4x² − x
A = -2x³ + 12x² + 31x + 8
The purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.
<h3>What is the ratio?</h3>
It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
The question is incomplete.
The complete question is in the picture, please refer to the picture.
Total number of pieces = 3+5 = 8
So, the purple pieces = 5(5/8) = 35
Total pieces = 20/(5/8) = 4×8 = 32
Thus, the purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.
Learn more about the ratio here:
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Complete Question
If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years
Answer:
$ 12,934.61
Step-by-step explanation:
The formula for Compound Interest Compounded continuously is given as:
A = Pe^rt
A = Amount after t years
r = Interest rate = 2.5%
t = Time after t years = 3
P = Principal = Initial amount invested = $12,000
First, convert R percent to r a decimal
r = R/100
r = 2.5%/100
r = 0.025 per year,
Then, solve our equation for A
A = Pe^rt
A = 12,000 × e^(0.025 × 3)
A = $ 12,934.61
The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.
Answer:
Step-by-step explanation:
Given that X, the hip width of men is N(14.2, 0.9)
i.e. we have
is N(0,1)
Seat width an airline uses = 16.7 inches.
a) the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.7 in

b) Here sample size = 126
Each person is independent of the other
the probability that these men have a mean hip breadth greater than 16.7
=
<0.00001
c) part a is important since even a single person not fitting will cause embarassment and leads to customer dissatisfaction.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side (or else, it can't be a closed polygon). Since we know that the two sides in question are both of the same length in this case (since the triangle isosceles), their individual lengths must be greater than 25/2 = 12.5.