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MaRussiya [10]
3 years ago
5

URGENT PLEASE HELP Definitely need the correct answers as I am failing precalculus

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer (first one):

{x|-2\leq x\leq 8}

Step-by-step explanation:

think of f(x) as y.

y>-2

Now find the parts on the x axis that correspond with parts on the y value that are greater than -2.

x\geq -2 \\x \leq 8

This would be all of the numbers between -2 and 8 (inclusive).

The reason it is inclusive is because the arrow ends are shaded in.

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. The di
kogti [31]

The rate at which the height of the pile is changing when the height is 2 ft. is 0.5659 ft./min. Computed using differentiation.

The sand is falling onto a conical pile, thus we get the pile in the shape of a cone, whose volume is given as:

<u>V = (1/3)πr²h</u>,

where V represents the volume of the cone, r represents its radius, and h represents its height.

In the question, we are given that the rate of piling is 16 ft.³/min, which implies that:

dV/dt = 16 ... (i)

We are also given that the diameter is three times the altitude (height), which can be shown as:

2r = 3h,

or, r  = (3/2)h.

Thus, the volume can now be shown as:

V = (1/3)π{(3/2)h}²h,

or, V = (3πh³)/4.

Differentiating this with respect to time, we get:

dV/dt = (3π/4)(3h²)dh/dt.

Now, we need to calculate the rate of change of height, when the height is  2 feet, thus we take h = 2

Using dV/dt = 16 from (i), we can write:

16 = (3π/4)(3(2)²)dh/dt.,

or, 16 = 9π(dh/dt),

or, dh/dt = 16/9π = 0.5659 ft./min.

Thus, the rate at which the height of the pile is changing when the height is 2 ft. is 0.5659 ft./min.

Learn more about differentiation at

brainly.com/question/13461339

#SPJ4

6 0
2 years ago
How many integers between 14 and 3,452 can be divided by 42 with a remainder of zero?
soldi70 [24.7K]
      _______
42 I 3,452

82 with a remainder

There are <u>82</u> integers between 14 and 2452 that can be divided with a remainder of 0
4 0
3 years ago
Solve for x: 3(x + 1) = −2(x − 1) + 6.
Firlakuza [10]
The answer would be x=1
8 0
3 years ago
Read 2 more answers
Find the sum of 19x3+1(14x+4x3)
Step2247 [10]
Find the sum of 19x3+1(14x+4x) 

The answer is 19x3+4x3=4x.
5 0
3 years ago
Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS WILL GIVE BRAINLIST
Delicious77 [7]

Answer:

square root of 338 or 18.38

Step-by-step explanation:

since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38

5 0
3 years ago
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