Answer:
S=9.42 feet
Step-by-step explanation:
Since, the length of the rope is 20 feet and it swings through an angle of 27° each second, let s be the distance traveled by the weight, then
using the formula, S=
Placing the given values, we get
S=
=
=
N ≥ 150
N ≥ 118
N ≥ 129
A leading medical journal claims that 71% of roller-coaster riders experience extreme anxiety just before the ride begins. A popular theme park wants to conduct a survey with a margin of error of ±8%. The minimum sample size, rounded to the nearest whole person is:
Answer: N ≥ 129
I hope it helps, Regards.
Enter your answers in the boxes to complete the factored expression.
Answer:15n - 18 = 3(5n -6)
Step-by-step explanation:
9x^2 + 9x + 1
36b^2 − 24b + 8
16x^2 + 24x + 9
4a^2 − 10a + 25
Answer:
16x^2 + 24x + 9
Step-by-step explanation:
perfect square trinomial is of the form
a^2 + 2 * a * b + b^2
9x^2 + 9x + 1 = (3x)^2 + 3*3x*1 + 1^2 not a perfect square trinomial
36b^2 − 24b + 8 = ( 6b)^2 -2 * 6b *2 + ( 2 sqrt(2)) ^2 not a perfect square trinomial
16x^2 + 24x + 9 = ( 4x) ^2 + 2 * ( 4x) * 3 + 3^2 = perfect square trinomial
4a^2 − 10a + 25 = ( 2a) ^2 - 1 * 2a *5 + 5^2 not a perfect square trinomial
Answer:
The third answer listed:
Step-by-step explanation:
The trinomial:
can be factored out as follows:
which as can be seen,is the perfect square of a binomial, so this trinomial is what is called a perfect square trinomial.
The value of f(-1) is -6
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Given:
f(x) = 12/ (4x +2)
for x=-1
then,
f(-1) = 12/ ( 4(-1) + 2)
f(-1) = 12/ (-4 + 2)
f(-1) = 12/(-2)
f(-1) = -12/2
f(-1) = -6
Hence, the value of f(-1) is -6
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