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2 years ago

?Eric conducted an experiment in his science class and recorded the data in a table.

1 answer:

4 0

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y - 36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

y = 36 + 6x - 36

y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

More about the linear system link is given below.

brainly.com/question/20379472

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3 years ago

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Find the value of c that completes the square for x2−15x+c

meriva

Answer:

The value of c is $\frac{225}{4}$ .

Step-by-step explanation:

The perfect square of the difference between two numbers is:

$(x-y)^{2}=x^{2}-2xy+y^{2}$

The expression provided is:

$x^{2}-15x+c$

The expression is a perfect square of the difference between two numbers.

One of the number is x and the other is √c.

Use the above relation to compute the value of c as follows:

$x^{2}-15x+c=(x-\sqrt{c})^{2}\\\\x^{2}-15x+c=x^{2}-2\cdot x\cdot\sqrt{c}+c\\\\15x=2\cdot x\cdot\sqrt{c}\\\\15=2\cdot\sqrt{c}\\\\\sqrt{c}=\frac{15}{2}\\\\c=[\frac{15}{2}]^{2}\\\\c=\frac{225}{4}$

Thus, the value of c is $\frac{225}{4}$ .

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3 years ago

Explain how to divide 3/4 ÷ 3/8 by using reciprocal of 3/8

sertanlavr [38]

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When dividing fractions, you can just multiply the first fraction by the reciprocal of the second fraction instead of dividing by the second fraction.

3/4 ÷ 3/8

= 3/4 × 8/3

Simplifying gives us the final answer:

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3 years ago

Work out the area of this circle. Take pie to be 3.142 and give your answer to 2 decimal places.

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Answer:

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Step-by-step explanation:

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3 years ago

A chef uses 4 3/4 cups of broth for 10 servings of soup. How much broth used in each serving of soup? Let x represent the number

kozerog [31]

Answer: 0.475 cups of broth per serving.

Explanation:

1) Ratio given:

i) To facilitate the operations, transform the mixed number 4 3/4 cups into improper fraction:

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ii) ratio broth: servings

$\frac{ \frac{19}{4}cups }{10servings}$

2) Proportion with the unknown number of cups of broth per serving:

$\frac{ \frac{19}{4}cups }{10servings}= \frac{x}{1serving}$

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