Answer:
Step-by-step explanation:
The vertex will occur when t=-b/(2a) for the quadratic ax^2+bx+c
In this case
t=-200/(2(-16))
t=-200/-32
t=6.25
g(6.25)=-16(6.25^2)+200(6.25)
g(6.25)=625ft
So the maximum height of the rocket is 625 feet and it reaches this height at 6.25 seconds.
7.75 ➗ 125 = 0.062
Simplify ➡ 31 / 4
31 over 4 ➗ 125
Then, divide ➡31 over 1 by 125
and it should leave you with the answer 0.062
<em><u>ANSWER</u></em>
Let the width be y
2(L + W) = Perimeter
2(2y - 5cm + y) = 62cm
(2×2y) + (2×-5cm) + (2×y) = 62cm
4y + - 10cm + 2y = 62cm
4y - 10cm + 2y = 62cm
4y + 2y - 10cm = 62cm
6y - 10cm + 10cm = 62cm + 10cm
<u>6</u><u>y</u> = <u>7</u><u>2</u><u>c</u><u>m</u>
6 6
y = 12cm
<em><u>WIDTH</u></em>
= y
= 12cm
<em><u>LENGTH</u></em>
= 2y - 5cm
= 2×y - 5cm
= 2×12cm - 5cm
= 24cm - 5cm
= 19cm
<em><u>Providence</u></em>
19cm + 19cm + 12cm + 12cm = 62cm which is the perimeter
Answer:
Step 1:
Addition is commutative
A + B = B + A
So the terms can be rearranged
Step 4:
2x(2x - 3) + 5(2x - 3)
Since (2x - 3) is common to both terms,
You can take it common
(2x - 3)(2x + 5)
This can be proved verified using distribution property
(2x - 3)(2x + 5) is the same as
(2x + 5)(2x - 3) because multiplication is commutative
Say she chooses topic A. She needs at least one book to arrive on time. The probability that no books arrive on time is 0.1 x 0.1 = 0.01 so the probability that at least one book arrives on time is 1 - 0.01 = 0.99.
Say she chooses topic B. She needs at least two books to arrive on time. The probability of no books arriving on time is 0.1 x 0.1 x 0.1 x 0.1 = 0.0001. The probability of exactly one book arriving on time is 4 x 0.1 x 0.1 x 0.1 x 0.9 = 0.0036 (binomial probability distribution formula - the 4 comes from 4C1). So the probability of her not getting enough books is 0.0001 + 0.0036 = 0.0037 and the probability she does get the books she needs on time is 1 - 0.0037 = 0.9963.
So she should choose topic B.
