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Ronch [10]
2 years ago
10

5x+1=x+9 help please and thank you

Mathematics
1 answer:
frozen [14]2 years ago
3 0
4x=8
x=2



...................................
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VGravel is being dumped from a conveyor belt at a rate of 50 ft3/min. It forms a pile in the shape of a right circular cone whos
kupik [55]

Answer:

0.325 ft/min

Step-by-step explanation:

To solve we must follow the following steps:

First, the volume of a cone is given by the equation:

Vc = (1/3) * Pi * (r ^ 2) * h

where r is the radius and h is the height.

they tell us that the height is equal to twice the radius, therefore

h = 2r; r = h / 2

replacing r in the volume of the cone:

Vc = (1/3) * Pi * ((h / 2) ^ 2) * h

solving we have:

Vc = (1/3) * Pi * (1/4) * (h ^ 2) * h

Vc = (1/12) * Pi * h ^ 3

They give us the change in volume with respect to time, that is, dV / dt = 50

It can also be expressed in the following way:

dV / dt = (dV / dh) * (dh / dt)

We know V, so we can derive with respect to h, we are like this:

dV / dh = 3 * (1/12) * Pi * h ^ 2

dV / dh = (1/4) * Pi * h ^ 2

we know that h is equal to 14, therefore:

dV / dh = (1/4) * Pi * 14 ^ 2

dV / dh = (1/4) * 3.14 * 196 = 153.86

Now if we replace

dV / dt = (dV / dh) * (dh / dt)

50 = 153.86 * (dh / dt)

(dh / dt) =  50/158.36

(dh / dt) =  0.3249

This means that the change in height with respect to time is 0.325 feet per minutes.

4 0
2 years ago
Read 2 more answers
If the date of the second Thursday of the month is a perfect square, what is the date of the last Monday of the month?
Inga [223]

Answer:

last Monday is 27

Step-by-step explanation:

perfect square: 4, 9 , 16

2nd Thursday is a day >5 and < 14 day from the begining of the month, therefore the only day fit the criteria is 9th of the month.

last Monday is 27

Sun Mon Tue Wen Thu Fri Sat

                                  9     10  11

12    13      14     15     16     17  18

.........................................................

26    27

3 0
3 years ago
Pls help as fast as u can
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

a)4.67

b) 2.27

do you not have a calculator?   :/

8 0
2 years ago
Read 2 more answers
What are the solutions of the inequality? graph and check the solutions.
sattari [20]

Answer:

Option 3: x \ge 8

Graph C

Step-by-step explanation:

Find the solution of -\frac{x}{4} \le 2

-\frac{x}{4} \le 2

-x \le 8(multiplication property of equality)

Divide both sides by -1. Since we are dividing by a negative number, the sign would change

x \ge 8

This means that the possible values of x are 8 and any number above 8.

Graphing this, the arrow of directed line would start at 8 and move towards our right hand.

Thus, the graph would be graph C in option C.

6 0
2 years ago
If Natasha picks bows at random, what is the probability that the first two gifts she wraps will have a Gold bow?
Allushta [10]

Answer:

1/5

Step-by-step explanation:

5/25

1/5

4 0
3 years ago
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