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hichkok12 [17]
3 years ago
7

3(x - 2) > - 3 solve the inequality

Mathematics
2 answers:
densk [106]3 years ago
4 0
Simplify  both sides  3x-6>-3
add 6 to both sides 3x-6+6>-3+6
divide by 3          3x/3>3/3
    
       x>1

                                          

densk [106]3 years ago
3 0
X>1 hope this helps *heartheart*
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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
pantera1 [17]

Answer:

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e \dfrac{dV}{dt}= 20 \ ft^3/min

we know that radius r is always twice the   diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

V = \dfrac{\pi r^2 h}{3}

V = \dfrac{\pi (h/2)^2 h}{3}

V = \dfrac{1}{12} \pi h^3

V = \dfrac{ \pi h^3}{12}

Taking the differentiation of volume V with respect to time t; we have:

\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}

\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}

we know that:

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

So;we have:

20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}

20= 56.25 \pi \times \dfrac{dh}{dt}

\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

8 0
3 years ago
Find the value of the expression m − 4.6 for m = 7.
stich3 [128]

Answer:

2.4

Step-by-step explanation:

If you replace m with 7, the expression is now 7-4.6.

7-4.6=2.4

The value of the expression is 2.4.

-hope it helps

3 0
2 years ago
Which of the following is the correct graph of the compound inequality 4p + 1 <-11 or 6p +3 > 39?
____ [38]
I think that will be the answer and the graph i take it for leter

4 0
3 years ago
Is 4/6 greater than,less than,or equal to 9/12
prohojiy [21]


4/6=2/3

9/12=3/4

2/3 <3/4

4 0
3 years ago
Read 2 more answers
What type of relationship does this pair of angles have?
avanturin [10]

Answer:

Both add up to 180 degrees

4 0
2 years ago
Read 2 more answers
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