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3 years ago

Do the graph and table represent the same information? Read the options carefully

Mathematics

1 answer:

Minchanka [31]3 years ago

4 0

Answer

3. No because they have a different initial value but same rate of change

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A candle is 7in tall after burning for 1 h. The same candle is 5 1/2 in y’all after burning for 4 h. How tall will the candle be

viva [34]

Answer:

4.5 inch

Step-by-step explanation:

Given: A candle is 7 inch tall after burning for 1 hour.

Same candle is 5.5 inch tall after burning for 4 hours.

Lets assume time to burn candle be "x" and height of candle be "y".

Now, finding the rate of changes in height of candle per hour.

Let "m" represent the changes in height of candle per hour.

we know, $m= \frac{Changes\ in\ length}{Changes\ in\ time}$

∴ m= $\frac{5.5-7}{4-1} = \frac{-1.5}{3}$

m= $-0.5$

Next, forming an equation to know the original height of candle.

using equation; $y= mx+ original\ height$

We know, A candle is 7 inch tall after burning for 1 hour.

⇒ $7= -0.5\times 1+ original\ height$

⇒ $7= -0.5+ original\ height$

Adding both side by 0.5

⇒ $Original\ height= 7.5\ inches$

Hence, the original height of candle was 7.5 inches.

Again using the same equation to find the height of candle after burning for 6 hour.

$y= -0.5\times 6+ 7.5$

⇒ $y= -3+7.5$

∴ y= 4.5 inches.

Hence, The candle will be 4.5 inches tall after burning for 6 hour.

4 0

3 years ago

A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one

Pavel [41]

Answer:

New height = 6

Step-by-step explanation:

The water is going to be the same volume no matter how the tank is orientated.

So you can do this 2 ways.

First way

Find the volume in the tank when the water goes up 24 cm on the height.

V = L*W*h

L = 8

W = 10

H = 24

V = 1920 cm^3

Now do it using the

L = 40

W = 8

h = ?

1920 = L * W * h

1920 = 40 * 8 * h

1920 = 320 * h

h * 320 = 1920

h = 1920/320

h = 6

Or you can do it without finding the 1920

L*W*h = L1 * w1 * h1

8*10*24 = 40 * 8 * h The 8's cancel

10*24 = 40*h Divide both sides by 10

24 = 4h Divide by 4

h = 6

Same as you got before.

7 0

3 years ago

What is the asymptote of the graph of g(x)=3^x+6 ? y=3 y=4 y=5 y=6

Eduardwww [97]

That would be y=6 I believe

7 0

4 years ago

Is 20 prime or composite tell me the factors

Debora [2.8K]

20 is....

Composite

Factors:1,2,10,20

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3 years ago

Read 2 more answers

A grocery wants to mix two kinds of candy one sells for $1.15 per pound and the other cells for $2.75 per pound he wants to make

babunello [35]

Answer:

$3.90

Step-by-step explanation:

7 0

4 years ago