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3 years ago

5x-6 less than or equal to 2+ (3x-4)

Mathematics

2 answers:

Sauron [17]3 years ago

6 0

Answer:

what are you trying to figure out?

Step-by-step explanation:

Irina18 [472]3 years ago

6 0

what is the value of x

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Got a calc 1 question,

belka [17]

$v=\dfrac h{3x}\implies\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\frac{\mathrm dh}{\mathrm dt}-3h\frac{\mathrm dx}{\mathrm dt}}{3x^2}$

By the chain rule,

$\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{\mathrm dh}{\mathrm dx}\dfrac{\mathrm dx}{\mathrm dt}$

We have

$h(x)=4e^{2x-6}-x^2+5\implies\dfrac{\mathrm dh}{\mathrm dx}=8e^{2x-6}-2x$

and we're given that $x$ changes at a constant rate of $\frac{\mathrm dx}{\mathrm dt}=0.2$ thousand people per minute, which means

$\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\left(8e^{2x-6}-2x\right)\left(0.2\frac{\text{thousand people}}{\rm min}\right)-3h\left(0.2\frac{\text{thousand people}}{\rm min}\right)}{3x^2}$

At the moment $x=4$ thousand people are in the park, we have $h(4)=4e^2-11$ , so we find

$\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{12\left(8e^2-8\right)-3(4e^2-11)}{240}\dfrac{\text{thousand people}}{\rm min}=\dfrac{7(4e^2-3)}{80}\dfrac{\text{thousand people}}{\rm min}$

or approximately 2.324 thousand people per minute.

5 0

4 years ago

Find m∠BAC and m∠DAB in the figure shown below.

masha68 [24]

$\angle BAC=\angle DAE=80^{\circ}\\
\angle DAB=180-\angle BAC=180-80=100^{\circ}$

8 0

3 years ago

Read 2 more answers

Seriously need of help, Find the surface area of a sphere having a radius of 4".

Helen [10]

A = 4 π r²
A = 4 π 4²
A = 4 π 16
A= 64π sq in

7 0

4 years ago

Select the correct answer.

Leona [35]

Answer:

Step-by-step explanation:

Hope you have a good day

5 0

3 years ago

You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate. You want to glaze 5 bowls

Montano1993 [528]

The answer is 2 plates and .50 glaze left over.

How did I get this?

First lets calculate how many bowls can we glaze.
5 bowls * 7/8 of a pint = 4.375 pints
4.375 = how many glaze we will need to make 5 bowls.

6 pints - 4.375pints = 1.625 pints left over after we glaze the bowls.

Now, we need to figure out how many plates we can make with 1.625 glaze.

P X 9/16 = 1.625
Multiply both sides by 16/9 to isolate the variable.
P = 1.625*16/9
P = 2.88 plates

So, we can only glaze 2 plates.

How many glaze is left over?
First, how many glaze did we have left over from the bowls? 1.625 glaze
Then, how many plates did we make? 2 at .5625 each = 1.125 glaze

1.625 - 1.125 = .50 glaze left over.

The answer is 2 plates and .50 glaze left over.

7 0

4 years ago