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2 years ago

A test consists of 10

Mathematics

1 answer:

Alecsey [184]2 years ago

6 0

I didn't understand your question. please repeat

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Bas_tet [7]

Answer:

<em>The height of the candle after 23 hours is 20.4 centimeters</em>

Step-by-step explanation:

<u>Mathematical Modeling</u>

To model a real-life situation, a mathematical model can be built in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the height of a candle as a linear function of the time it has been burning. If the time is expressed in hours and the height is in centimeters, then the linear function can be written as:

$H(t)=mt+b$

Where m and b are constants we need to find. We are provided two points of reference: After 15 hours of burning, the candle has a height of 22 centimeters. This is the point (15,22).

We also know after 27 hours of burning, the height is 19.6 cm. This is the point (27,19.6). This data is enough to accurately define the function. Let's substitute the first point:

$22=15m+b\qquad\qquad [1]$

Substituting the second point:

$19.6=27m+b\qquad\qquad [2]$

Subtracting [1] - [2]:

$22-19.6=15m-27m$

$\Rightarrow 12m=-2.4$

Solving for m:

$m=-2.4/12=-0.2$

Using this value in [1]:

$22=15(-0.2)+b$

$22=-3+b$

Solving for b:

b=25

The function is now complete:

$H(t)=-0.2t+25$

Finally, substitute t=23:

$H(23)=-0.2(23)+25=20.4$

The height of the candle after 23 hours is 20.4 centimeters

7 0

3 years ago

In a bag of candy, there are 4 tootsie rolls, 3 lollipops, 5 hershey kisses and 6 starbursts. if you select one piece of candy a

ivann1987 [24]

4 tootsie rolls, 3 lollipops, 5 hersheys kisses, 6 starbursts......for a total of 18 pieces of candy.

now...there are 3 lollipops.....and 18 total pieces of candy.....so the probability of selecting a lollipop is : 3/18 which reduces to 1/6

6 0

3 years ago

X + 4(x-1) = 9-2(x+3)

Genrish500 [490]

Collect like terms
x + 4x - 4 = 9 - 2 x - 6
move the terms
5x - 4 = 3 - 2x
collect like terms calculate
5x + 2x = 3 + 4
7x = 7
answer is x = 1

3 0

2 years ago

JamIah's weight is 4/3 of Devi's weight. What is the ratio of Jamiah's weight to Devi's weight.

melomori [17]

Answer:

Therefore, a ratio of 8/6 is an equivalent ratio of 4/3: in that particular ratio calculation, you should just multiply 4, as well as 3, by 2.

Step-by-step explanation:

I hope this helps! :D

4 0

3 years ago

Read 2 more answers

How does the order of operations relate to solving multi-step equations? Use examples of solving an equation, and then evaluatin

givi [52]

The order of operations helps keep answers for multi-step equations similar. If the proper order of operations are not followed, then answers may vary. To show an example:

4 / 2 - 1

The proper order of operations would be:

Divide first, before subtracting
4 / 2 - 1
2 - 1
1

But if subtracting was done before dividing:

4 / 2 - 1
4 / 1
4

So not following the proper order would yield different and erroneous answers.

6 0

3 years ago