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3 years ago

An instructional video is 4.2 minutes long. How long is the video in seconds? How long is it in hours?

Mathematics

2 answers:

stira [4]3 years ago

7 0

Answer:

i dont know the answers so i just wanted to say Hi

Step-by-step explanation:

valkas [14]3 years ago

5 0

First we convert it in seconds.

Number of seconds in 1 minute = 60 seconds
Therefore,
Number of seconds in 4.2 minutes = 4.2 x 60 = 252 seconds.

Next we convert it in hours.

60 minutes make up an hour. So we can write,
Number of hours in 60 minutes = 1 hour
Number of hours in 1 minute = 1/60 hour
Number of hours in 4.2 minutes = 1/60 x 4.2 = 0.07 hour

Therefore, the video is 252 seconds or 0.07 hour long.

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Which equation represents a nonlinear function?

Luden [163]

The correct answer is: [A]: " <span>x(y – 5) = 2 " .
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Choice: [A]: " x(y–5) = 2 " ;

Divide each side by "x" ;

" [x(y – 5)] / x = 2/x " ;

→ y – 5 = 2/x ;

Add "5" to each side of the equation:

y – 5 + 5 = 2/x + 5 ;

→ y = 2/x + 5 ; not a line; since one cannot divide by "zero" ; there would be no "point" on the graph at "x = 0". So, this answer choice: [A] is correct.
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Choice [B]:

y -2x -18 = 0

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y = 18 + 2x ; y = 2x + 18 ; is a line.
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4 0

3 years ago

Read 2 more answers

A company is manufacturing an open-top rectangular box. They have 30 cm by 16 cm sheets of material. The bins are made by cuttin

Natalija [7]

Answer:

a. (30 - 2x)(16 - 2x)x. b. length 21.2 cm , width = 7.2 cm and height x = 4.4 cm

Step-by-step explanation:

a. Let x be the side of the squares to be cut from each corner. Since we have two corners on each side, the length of the resulting box from the 30 cm by 16 cm sheet is L = 30 - 2x. Its breadth is B = 16 - 2x. The height of the resulting box is x. So its volume V = LBx = (30 - 2x)(16 - 2x)x.

b. To find the maximum value of V, we differentiate V with respect to x and equate it to zero.

So, dV/dx = 0

d(30 - 2x)(16 - 2x)x/dx = 0

-2(16 - 2x)x + (-2)(30 - 2x)x + (30 - 2x)(16 - 2x) = 0

32x + 4x² - 60x - 4x² + 480 - 60x - 32x + 4x² = 0

4x²- 120x + 450 = 0

x²- 30x + 112.5 = 0

Using the quadratic formula, we find x. So, with a = 1, b = - 15 and c = 112.5,

$x = \frac{-(-30)+/-\sqrt{(-30)^{2} - 4 X 1 X 112.5} }{2 X 1} \\= \frac{30+/-\sqrt{900 - 450} }{2}\\ = \frac{30+/-\sqrt{450} }{2}\\ = \frac{30+/-21.21 }{2}\\\\ = \frac{30+21.21 }{2} or \frac{30-21.21 }{2}\\ = \frac{51.21 }{2} or \frac{8.79}{2}\\ = 25.605 or 4.395$

x ≅ 25.61 or 4.4

V = (30 - 2x)(16 - 2x)x

Substituting the values of x into L and B, we have )x

L = (30 - 2x) = (30 - 2(25.61)) = 30 - 51.22 = -21.22

B = (16 - 2x) = (16 - 2(25.61)) = 16 - 51.22 = -35.22

Since L and B cannot be negative, we use the other value for x = 4.4, So

L = (30 - 2x) = (30 - 2(4.4)) = 30 - 8.8 = 21.2

B = (16 - 2x) = (16 - 2(4.4)) = 16 - 8.8 = 7.2

So V = LBx = 21.2 × 7.2 × 4.4 = 671.62 cm³

3 0

3 years ago

Ok I'm doing home work and need to show why 1/2 of 60 is not the same as 1/2 of 24 please help! It will give you 24 points.

Tems11 [23]

Simple,

1/2 of 60

re-write it as 0.5 of 60 aka 0.5*60

which is 0.5*60=30

Do the same with 1/2 of 24.

0.5 of 24

0.5*24=12.

Thus, it's not the same because they are different numbers and different number give you different answers.

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4 years ago

The perimeter of a square is 75 inches. What is the length of one side of the square?

bulgar [2K]

Answer:

18.75 inches

Step-by-step explanation:

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3 years ago

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VARVARA [1.3K]

If 1/6 of the pan was left and there were 2 pieces left you just need to set 1/6 equal to 2/some number, this allows you to say that 1/6=2/x --> x/6=2-->x=12. My explanation might be a little poor since this becomes fairly fundamental later on but hopefully it helps.

7 0

3 years ago