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3 years ago

What is the logic 32+2 +24=63+ 5=

Mathematics

2 answers:

Vinvika [58]3 years ago

7 0

32+2+24=58
63+5=68
Maybe the next number is 78?

kolbaska11 [484]3 years ago

5 0

78 because I used a calculator

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Does the point (2,3) lie on the graph of y=3x-4

Paul [167]

Use substitution to find out

x=2
y=3

so
3=3(2)-4
3=6-4
3≠2

no, this point does NOT lie on the graph of y=3x-4

8 0

2 years ago

Read 2 more answers

Use the graph to answer the following…

miv72 [106K]

Answer:

slope = 2 because it goes up by 2 and across 1

10 = 2(1)+b

10=2+b

-2 -2

b = 8

y intercept = 8

equation: y = 2x+8

yes it is proportional because it has a constant rate of change or slope

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2 years ago

A company plans to manufacture a rectangular bin with a square base, an open top, and a volume of 13,500 in3. Determine the dime

Artyom0805 [142]

Answer:

Dimensions 30 in x 30 in x 15 in

Surface Area = 2,700 in²

Step-by-step explanation:

Let 'r' be the length of the side of the square base, and 'h' be the height of the bin. The volume is given by:

$V=13,500=h*r^2\\h=\frac{13,500}{r^2}$

The total surface area is given by:

$A=4*hr+r^2$

Rewriting the surface area function as a function of 'r':

$A=4*\frac{13,500}{r^2} *r+r^2\\A=\frac{54,000}{r}+r^2$

The value of 'r' for which the derivate of the surface area function is zero, is the length for which the area is minimized:

$A=54,000*r^{-1}+r^2\\\frac{dA}{dr}=0= -54,000*r^{-2}+2r\\\frac{54,000}{r^2}=2r\\ r=\sqrt[3]{27,000}\\r=30\ in$

The value of 'h' is:

$h=\frac{13,500}{30^2}\\ h=15\ in$

The dimensions that will ensure the minimum surface area are 30 in x 30 in x 15 in.

The surface area is:

$A=4*15*30+30^2\\A=2,700\ in^2$

3 0

2 years ago

Solve the following equation<br>1) 2c + c + 12 = 78

Annette [7]

Step-by-step explanation:

(2c+c) + 12 =78

3c + 12 = 78

78 - 12 = 66

66 ÷ 3 = 22

22 + 22 + 22 + 12 = 78

{ C = 22 }

4 0

3 years ago

A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon

zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

Applying implicit differentiation, the rate of change is given by:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

In this problem, we have that:

$\frac{dV}{dt} = 500, r = 70$

Hence the rate of change of the radius is given as follows:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$19600\pi\frac{dr}{dt} = 500$

$\frac{dr}{dt} = \frac{500}{19600\pi}$

$\frac{dr}{dt} = 0.0081$

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

1 year ago