Solve a 66-9a=2(19-3a)

A function is created to represent the miles per gallon your car gets. What restrictions would be made to the domain?. a. The do

Ahat [919]

Answer: d. The domain would only include positive numbers.

Step-by-step explanation:

Given: A function is created to represent the miles per gallon your car gets.

Here, the independent variable = the amount of fuel the car gets in gallons.

and the dependent variable = the total miles of car travel .

We know that the domain of a function is a set of all values of independent variable.

Thus, the domain would only include positive numbers because the quantity of fuel in a car is never negative and it can be in fraction .

Hence, D is the right answer.

4 0

3 years ago

Read 2 more answers

At his last track meet, Eli ran the 400-meter dash in 54 seconds. His friend Kimberly bet him that he couldn't run a whole kilom

Trava [24]

Answer:

Eli has to run for 2.25 minutes at this pace to win the bet.

Step-by-step explanation:

At his last track meet, Eli ran the 400-meter dash in 54 seconds.

So, the speed of Eli's run is $\frac{400}{54} \times 60 = 444.44$ meters per minute.

Now, if Eli is determined to run a whole kilometer with the same speed, then it will take Eli to run 1 kilometer within $\frac{1000}{444.44} = 2.25$ minutes.

Hence, Eli has to run for 2.25 minutes at this pace to win the bet. (Answer)

6 0

2 years ago

The table below shows the outputs y for different inputs x:

igor_vitrenko [27]

Part A)
The table doesn't represent y as a function of x.
Why? <span>One reason is that 1 or 3 is the first element in more than one ordered pair.
Part B)
f(x) = 10x + 20
f(120)= 10*120 + 20 = 1200 + 20 = 1220
</span><span>f(120) represents cost of boating for 120 hours.</span><span>
</span>

3 0

2 years ago

Read 2 more answers

Use the law of cosines to find the length of side C.

sergij07 [2.7K]

Answer:

$\text{D. 36.64}$

Step-by-step explanation:

The Law of Sines is given by $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ and works for any triangle.

Therefore, we have the proportion:

$\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}$

8 0

2 years ago

HELPPPPPPPPPPP

True [87]

Answer:

Part A

C. 7.25

Part B

B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.

Step-by-step explanation:

<u>Given data:</u>

299, 281, 285, 269, 280, 269, 286, 287

<u>Find the mean of the data above:</u>

(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282

<u>Find absolute deviations, an absolute value of the difference of data and the mean:</u>

299 - 282 = 17 ⇒ 17
281 - 282 = -1 ⇒ 1
285 - 282 = 3 ⇒ 3
269 - 282 = -13 ⇒ 13
280 - 282 = 2 ⇒ 2
269 - 282 = -13 ⇒ 13
286 - 282 = 4 ⇒ 4
287 - 282 = 5 ⇒ 5

<u>Find mean absolute deviation:</u>

(17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25

Correct choice is C

Less mean absolute deviation is the sign of more consistent data.

Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25

Correct choice is B.

5 0

2 years ago