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MAVERICK [17]
2 years ago
9

Identify The functional relationship between the variables blank is a function of blank

Mathematics
1 answer:
vfiekz [6]2 years ago
4 0
<h2>Complete Question: </h2>

The energy usage of a light bulb is a function. The input for the function is ___, measured in hours. The output of the function is energy usage, measured in _____. Identify the functional relationship between the variables. ________ is a function of __________. The graph of the function will show energy usage on the ________ axis and time on the _______ axis.

  • Input is <u>time</u>.
  • Output is measured in <u>kilowatts</u>.
  • <u>Energy usage</u> measured in kilowatts is a function of <u>time</u> measured in hours.

The graph representing the function will show:

  • energy usage (kilowatts) on the <u>y-axis</u>
  • time (hours) on the <u>x-axis.</u>

A light bulb as a function expends energy which is measured in kilowatts and it is dependent on time measured in hours.

This implies that, the amount of energy usage of the light bulb is determined by the number of hours the light bulb is turned on.

Thus, energy usage of the light bulb (kilowatts) is a function of time (hours).

Graphing the function, we would plot<em><u> the input (time) on the x-axis, against (output) energy usage on the y-axis.</u></em>

<em>Therefore</em>,

Input = time (hours) - plotted on the x-axis.

Output = energy usage (kilowatts) - plotted on the y-axis.

Learn more about functions here:

brainly.com/question/18738793

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Jenna gets an iTunes gift card for her birthday and decides to buy some games and some music the music she likes costs $1.99 per
alexandr1967 [171]

Answer: 4 songs and 11 games

Step-by-step explanation:

Sorry if I’m wrong!

3 0
1 year ago
Greg is trying to solve a puzzle where he has to figure out two numbers, x and y. Three less than two-third of x is greater than
Fittoniya [83]
Inequation 1: 

\frac{2}{3}x-3 \geq y

to plot the pairs (x, y) for which the inequation holds, draw the line y=\frac{2}{3}x-3

then pick a point in either side of the line. If that point is a solution of the inequation, than color that region of the line, if that point is not a solution, then color the other part of the line.

we do the same for the second inequation. Then the solution, is the region of the x-y axes colored in both cases.

inequation 2: 

y+ \frac{2}{3}x\ \textless \ 4

y\ \textless \ - \frac{2}{3} x+ 4&#10;


draw the lines 

i)  y=\frac{2}{3}x-3          use points (0, -3),  (3, -1)

ii)y=- \frac{2}{3} x+ 4       use points ( 0, 4),   (3, 2)


let's use the point P(3, 3) to see what region of the lines need to be coloured:

\frac{2}{3}x-3 \geq y  ; 
\frac{2}{3}(3)-3 \geq 3
2-3 \geq 3, not true so we color the region not containing this point


y+ \frac{2}{3}x\ \textless \ 4
(3)+ \frac{2}{3}(3)\ \textless \ 4
3+ 5\ \textless \ 4 not true, so we color the region not containing the point (3, 3)

The graph representing the system of inequalities is the region colored both red and blue, with the blue line not dashed, and the red line dashed.



4 0
2 years ago
Mr robbins earns a commission on each airfare he books. At the end of the day,he had booked $208.60 worth if airfare and earned
LenKa [72]

Answer:

Mr. Robins commision rate is 15%.

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

Mr robbins earns a commission on each airfare he books.

At the end of the day,he had booked $208.60 worth if airfare and earned $31.29.

Here

Part value = $31.29

Total value = $208.60

Put in the formula

Percentage = \frac{31.29\times 100}{208.60}

Percentage = \frac{312900}{20860}

Percentage = 15%

Therefore the  Mr. Robins commision rate is 15%.

4 0
2 years ago
Karina read a total of 20 2/4 pages in her science and social studies books combined she read 12 3/4 pages in her science book h
wlad13 [49]

Answer:

8 1/4

Step-by-step explanation:

20 2/4

-

12 3/4

__________

8 1/4

4 0
2 years ago
Read 2 more answers
Suppose x follows a continuous uniform distribution from 1 to 5. determine the conditional probability p(x &gt;2.5 | x ≤ 4).
Rainbow [258]
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4,  x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.

The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375

Answer: 0.375

8 0
2 years ago
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