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Nitella [24]
3 years ago
12

Which value below is included in the solution set for the inequality statement?

Mathematics
1 answer:
mixas84 [53]3 years ago
7 0

You haven't provided any value, but I can tell you the solution set for the inequality.

First of all, expand both sides:

-3x+12 > 6x-6

Add 3x to both sides:

12 > 9x-6

Add 6 to both sides:

18 > 9x

Which is of course equivalent to

9x < 18

Divide both sides by 9

x < 2

So, every number smaller than 2 is part of the solution of this inequality.

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Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap
11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

\dfrac{dV}{dt}=20$ ft^3/min

\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}

\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}

Therefore: \dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

5 0
3 years ago
Need help fast with my work
Mademuasel [1]

Answer:

-25

Step-by-step explanation:

5 0
3 years ago
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=78°, and KL = 35 feet. Find the length of MK to the nearest tenth of a foot.
Margaret [11]

Answer:

7.3 feet

Step-by-step explanation:

osK=

hypotenuse

adjacent

​

=

35

x

​

\cos 78=\frac{x}{35}

cos78=

35

x

​

35\cos 78=x

35cos78=x

Cross multiply.

x=7.2769\approx \mathbf{7.3}\text{ feet}

x=7.2769≈7.3 feet

Type into calculator and round to the nearest tenth of a foot.

4 0
3 years ago
Read 2 more answers
Please help me! Thanks.
Vedmedyk [2.9K]

Answer:

129 is yr ANSWER........

5 0
3 years ago
Read 2 more answers
Complete the ordered pairs (9,...), (..., 71) for the equation.<br> y= 10X-9
zaharov [31]

Answer:

(9, <u>81</u>) (<u>8</u>, 71)

Step-by-step explanation:

My explanation is in the picture. All I did was replace the known variable with the proper letter!

4 0
3 years ago
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