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3 years ago

10

A machine in a laboratory is set to steadily increase the temperature inside. The temperature in degrees Celsius inside the mach

ine after being turned on is a function of time, in seconds, given by the equation f(t)=22+1.3t
1. What does f(3) mean in this situation?
2. Find the value of f(3) and interpret the value.
3. What does the equation f(t)=35 mean in this situation?
4. Solve the equation to find the value of t for the question.

2 answers:

vaieri [72.5K]3 years ago

6 0

Answer:

1) f(3) means the temperature after 3 seconds

2) f(3) = 22 + 1.3(3) = 25.9

Temperature after 3 seconds is 25.9°C

3) f(t) = 35 means after t seconds, temperature was 35°C

4) 35 = 22 + 1.3t

1.3t = 13

t = 10 seconds

Semenov [28]3 years ago

5 0

Step-by-step explanation:

<u>Step 1: Answer the first question</u>

f(3) means the temperature after 3 seconds

<u>Step 2: Answer the second question</u>

The value of $f(3) = 22 + 1.3(3)$ → 25.9 degrees

The value of f(3) which is 25.9 means that after 3 seconds, the temperature is 25.9 degrees.

<u>Step 3: Answer the third question</u>

f(t) = 35 means that after a t amount of seconds, the temperature is 35 degrees.

<u>Step 4: Answer the fourth question</u>

$f(t) = 35$ so... $35 = 22 + 1.3t$

$35 - 22 = 22 - 22 + 1.3t$

$13 = 1.3t$

$13 / 1.3 = 1.3t / 1.3$

$10 = t$

10 seconds

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Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

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<h2>Hello!</h2>

The answers are:

A.

$\frac{5}{6}$ and $\frac{10}{12}$

D.

$\frac{6}{7}$ and $1\frac{5}{7}$

<h2>Why?</h2>

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

A.

$\frac{5}{6}$ and $\frac{10}{12}$

D.

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

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3 years ago