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valina [46]
2 years ago
13

State the domain and range of the function below. Use interval notation.

Mathematics
1 answer:
Marina CMI [18]2 years ago
6 0

Answer:Housing (25-35 percent) ...

Transportation (10-15 percent) ...

Food (10-15 percent) ...

Utilities (5-10 percent) ...

Step-by-step explanation:

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Help please I’ll give points
bearhunter [10]

Answer:

3 and 8 are supplementary

4 is congruent to 8

3 is congruent to 1

6 0
3 years ago
Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit
ivann1987 [24]

Answer:

Number of months spent in first gym = 9

Number of months spent in second gym = 3

Step-by-step explanation:

Let she spent x months in a year at first gym and y months in a year at second gym

Now, there are 12 months in one year

⇒ x + y = 12

y = 12 - x .......(1)

Now, total money she spent in one year = $825

⇒ 75·x + 50·y = 825 .........(2)

Putting value of y from equation (1) in equation (2)

75·x + 50·(12 - x) = 825

⇒ 75·x - 50·x + 600 = 825

⇒ 25·x = 225

⇒ x = 9

Now, putting this value of x in equation(1)

⇒ y = 12 - 9

⇒ y = 3

Hence, number of months spent in first gym = 9

And number of months spent in second gym = 3

7 0
4 years ago
A truck driver has to make a delivery at a location that is 230.2 miles away. She drives an average of 55 miles each hour for 3.
Vlad [161]

Answer:

The driver will make it to the location in the next hour

Step-by-step explanation:

First, find how many miles they traveled in 3.25 hours, by multiplying 55 by 3.25:

55(3.25)

= 178.75

Then, add 55 to this to see if the driver will make it in the next hour:

178.75 + 55

= 233.75

Since this is greater than 230.2, this means they will make it to the location.

So, the driver will make it to the location in the next hour.

5 0
3 years ago
Read 2 more answers
Determine whether set B is a subset of A.<br> 7. A = {2, 3, 5, 7, 11}<br> B = {3, 5, 7, 9, 11)
VARVARA [1.3K]

Answer:

Set  B is not a subset of A.

Step-by-step explanation:

If there are sets, A and B with some elements, then B can be called subset of A, if every element of B is present in set A.

Example.

Example

A is set of integers

B is set of natural numbers

we know set of integers is all the negative numbers, 0 and all the positive discrete numbers like

A = {......-3,-2,-1,0,1,2,3,4........}

B is set of positive discrete numbers from 1 to infinity)

B =  {1,2,3,4........}

Thus, we see every element of B is present in A . Hence B is subset of A

___________________________________________

Given

A = {2, 3, 5, 7, 11}

B = {3, 5, 7, 9, 11)

Here,

In set B . elements 3,5,7,11 are present in set A, but

Element 9 from set B is missing Set A.

Since, every element of Set B is not present in set A hence

Set  B is not a subset of A.

7 0
3 years ago
Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 16cm and a height of 8cm, at the ra
andriy [413]
Let h=height of water
Let r=radius of water surface
r/h=16/8 =2, so r=2h.
The volume of water is:
v=(1/3)×π×r²×h
=(1/3)×π×(2h)²×h
=4/3πh³
dv/dh=4πh^2
By chain rule:
dv/dt=dv/dh×dh/dt
but
dv/dt=4 
thus:
4=(4πh)×dh/dt
dh/dt=4/(4πh²)
when h=6cm we have:
dh/dt=4/(4π6²)
=0.00884 cm³/min


8 0
4 years ago
Read 2 more answers
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