Answer:
(x+3)(x+4)(x-4)
x+2 and x-3 are not factors but x-4 is
Step-by-step explanation:
let's factor it :)
x^3 + 3x^2 - 16x -48
first we will factor this:
x^3 + 3x^2
x^2(x + 3)
then factor the second part :
- 16x - 48
-16(x + 3)
so now,
x^2(x + 3) - 16(x + 3)
factor out x+3
(x+3)(x^2 - 16)
factor x^2 - 16
(x+3)(x+4)(x-4)
An expression represents the perimeter, in centimeters, of this triangle is 6q + 8r - 5s.
<u>Given the following data:</u>
- b = (5q - 10s) centimeters.
- c = (5s + 7r) centimeters.
<h3>What is a triangle?</h3>
A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
<h3>How to calculate the perimeter of a triangle?</h3>
Mathematically, the perimeter of a triangle can be calculated by using this formula:
P = a + b + c
<u>Where:</u>
a, b, and c are length of sides.
Substituting the given parameters into the formula, we have;
P = q + r + 5q - 10s + 5s + 7r
P = 6q + 8r - 5s centimeters.
Read more on perimeter of triangle here: brainly.com/question/27109587
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Answer:
The radius of the cone is approximately 1.4 feet
Step-by-step explanation:
The given parameters of the cone are;
The height of the cone, h = 4 ft.
The volume of the cone, V = 7.77 ft.³
The volume, 'V', of a cone is given by the following formula;
V = 1/3 × π·r²·h
Where;
V = The volume of the cone = 7.77 ft.³
r = The radius of the cone
h = The height of the cone = 4 ft.
By substituting the vales of 'h' and 'V' in the above equation, we have;
7.77 ft.³ = 1/3 × π × r² × 4 ft.
∴ r = √(3 × 7.77 ft.³/(π × 4 ft.)) = 1.36196580784 ft.
∴ The radius of the cone, r ≈ 1.4 ft. (rounding the answer to the nearest 10th)
Answer: z score = 0.00714
Step-by-step explanation: the value of test statistics is gotten using the standard normal distribution table.
Z= 2.45 has area to the left (z<2.45) and area to the right (z>2.45).
Level of significance α is the probability of committing a type 1 error. The area under the distribution is known as the rejection region and it is the area towards the right of the distribution.
The table I'm using is towards the left of the distribution.
But z>2.45 + z<2.45 = 1
z> 2.45 = 1 - z<2.45
But z < 2.45 = 0.99286
z > 2.45 = 1 - 0.99286
z >2.45 = 0.00714
Hence the test statistics that would produce the least type 1 error is 0.00714
The answer would be 40% :)
