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3 years ago

What is 3x/2 × 2/3x=1

Mathematics

1 answer:

alexandr1967 [171]3 years ago

4 0

Answer:

x=-3

Step-by-step explanation:

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What is the inverse of y=2x+7

Katyanochek1 [597]

Y=(0,7)
Root: (-7/2,0)

3 0

3 years ago

A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the t

ss7ja [257]

Answer:

the answer would be D

Step-by-step explanation:

first you add all your marbles up and that is you bottom half of the equation and then you put the amount of white marbles on top.

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3 years ago

Read 2 more answers

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h

mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere $=\frac{2}{3}\pi r^3$

Volume of a Cylinder $=\pi r^2 h$

Therefore:

The Volume of the Solid formed

$=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Area of the Hemisphere = $2\pi r^2$

Curved Surface Area of the Cylinder = $2\pi rh$

Total Surface Area=

$2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh$

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.

Therefore total Cost, C

$=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh$

Recall: $h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Therefore:

$C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}$

The minimum cost occurs at the point where the derivative equals zero.

$C^{'}=\frac{-27840+32\pi r^3}{3r^2}$

$When \:C^{'}=0$

$-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518$

Recall:

$h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet$

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0

3 years ago

HELP! ANSWER THE QUESTION IN THE PICTURE BELOW. THANK YOU!!!!!!!!

max2010maxim [7]

The last one would be negative.

Positive times positive = positive

Positive times negative = negative

Negative times negative = positive

So basically, if there is an odd number of negatives, then it'll end up negative, with some exceptions.

So now we know it has to either be the first one or the last one.

The first one is multiplied by 0, so it can't be that one.

So it has to be the last one.

7 0

3 years ago

ONLY ANSWER IF UR CORRECT PLZZ!

anyanavicka [17]

Answer:

∠4 & ∠8

∠3 & ∠7

Step-by-step explanation:

When the transversal (the line that crosses the other 2) intersects through 2 lines, it forms 2 pairs of alternate interior angles.

The alternate interior angles are always located in the inner corners of the intersections and are on opposite ends of the transversal.

8 0

2 years ago