B. .1
C. 10
D. 1
B)|x − 32| ≥ 8; The medications cost less than $24 or greater than $40.
C) |x − 32| ≤ 8; The medication costs range from $24 to $40
D) |x − 32| ≤8; The medications cost less than $24 or greater than $40.
Answer:
Therefore, Option C is correct that is .
Step-by-step explanation:
We have given medication cost $32
Since, we have given as much as 8 so the inequality will maximum goes upto 8.
Now, we will solve the inequality for x we will get
We will first open the modulus function by its definition we will get
which is |x| is +x and -x
And
Therefore, Option C is correct
Answer:
32 degrees
Step-by-step explanation:
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. Angle N perfectly fits this description. An inscribed angle is equal to 1/2 of its intercepted arc (the arc opposite the angle). The arc opposite angle N is equal to 64 degrees, so angle N is equal to 1/2 of that, or 32 degrees
= x3 + x2 – 4x – 2
= x3 + x2 + 4x + 4
= x3 – x2 – 4x + 4
Answer:
Option D is correct
The cubic polynomial function in standard form is :
Step-by-step explanation:
Given the zeroes of the polynomial function 1 , -2 and 2.
i.e, x = 1 , -2 and 2 where x is the zero of the polynomial function.
we can write this as
x - 1 = 0,
x + 2 = 0 or
x - 2 = 0
(x - 1)(x + 2)(x - 2) =0
Using identities
then;
Multiply the first term of the first expression with second expression;
also,
Multiply the second term of the first expression with second expression;
Now, subtract and
we get;
then, we have;
Cubic function is any function of the form where a, b, c, and d are constants and a≠0
therefore, the given function is cubic function;
so, the cubic function f(x) =
Find the volume of the cone.
5
Diameter: 14 m, Slant Height: 25 m
Help Resources
Round to the nearest whole number.
Volume
[?] m3
The volume of the cone to the nearest whole number is 1283 m³
Formula for volume of a cone =
Slant height = 25m
If diameter = 14m , radius = 14/2 = 7m
Pie = 22/7
Substitute values into formula
We have,
Volume =
Volume =
Volume = in the nearest whole number
Thus, the volume of the cone to the nearest whole number is 1283 m³
Learn more about a cone here:
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The volume of a cone with a diameter of 14 m and slant height of 25 m is 1232 m³, when rounded to the nearest whole number.
To find the volume of the cone, one can use the formula, which is V = 1/3πr²h, where V is the volume, r is the radius, and h is the height. But in the provided case, we have the cone's diameter and slant height instead of the radius and height. Given that the diameter is 14m, the radius would be half of the diameter, so r = 14/2 = 7m. Also, considering the cone as a right-angled triangle, we can use the Pythagorean theorem to find the height. So, h = sqrt((Slant height)² - r²) = sqrt((25)² - (7)²) = 24m. Now, we substitute the values of r and h into the formula for volume of a cone.
V = 1/3 * π * (7)² * 24 = 1232 m³
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