Answers
Part A
The equation is g = -2.5m + 20
The +20 represents us starting with 20 gallons. The -2.5m portion indicates losing 2.5 gallons per minute. So after m minutes, we'll have -2.5m+20 gallons left.
The smallest m can be is m = 0
Let's plug in g = 0 and solve for m to find the largest possible m value
g = -2.5m + 20
-2.5m + 20 = g
-2.5m + 20 = 0
-2.5m = -20
m = (-20)/(-2.5)
m = 8
At the 8 minute mark is when g = 0. So this is when the tub is completely empty. We cannot go beyond this point because g would become negative. So m = 8 is the largest m can get.
This means m is between 0 and 8, including both endpoints.
The domain is [tex]0 \le m \le 8[/tex]
The domain is continuous because the number of minutes is continuous. We cannot have a jump in time from something like m = 1 to m = 2 without values in between. In other words, to go from m = 1 to m = 2, we need to pass by something like m = 1.5
No matter what two values you pick in the interval mentioned, there is always going to be some midpoint and infinitely many other values to deal with.
-------------------------
Answers:
Domain: [tex]0 \le m \le 8[/tex]The domain is continuous======================================================
Part C
See the graph below. The table is included as well.
To generate the table, we select values of m from the domain found earlier. I'm using whole numbers for m, but you can use any real number you want from that interval.
Let's say we picked m = 2
That would mean,
g = -2.5m + 20
g = -2.5*2 + 20
g = -5 + 20
g = 15
So at the 2 minute mark, the tub will have 15 gallons left. That means we'll have a row with m = 2 and g = 15 pair up together. The rest of the table is generated in a similar fashion.
Once the table is set up, you plot all of the points and draw a line through them to complete the graph.
Because we're dealing with a linear function, we only need 2 points at minimum to graph it. However, you can generate as many points as you want. It could be good practice.
Side note: Stuff to the left of m = 0 and stuff to the right of m = 8 is not graphed, as these portions are not in the domain.
Related Questions
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors
Answers
Answer:
3000000cm³
3000dm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]
Two lines are _______ if and only if they lie in the same plane and intersect at right angles.
Answers
Answer:
I believe your answer to go in the blank should be bisectors. I hope this helps you! :)
Which expression is equivalent to -19-11?
Answers
Answer:
uh lol can i get sum more context
Step-by-step explanation:
In a stationery design, the number of ovals is proportional to the number of squares. How many squares will there be when there are 75 ovals?
When there are 75 ovals, there are
?/?
Answers
Answer:
75 squares
Step-by-step explanation:
ovals is proportional to the number of squares
75 ovals = 75 squares * constant of proportionality ( this could be any number)
so for 75 ovals we can have
75 squares ,
or 2*75 = 150 squares ,
or we could have .6 *75 = 45 squares
Answer:
75 squares
Step-by-step explanation:
ovals is proportional to the number of squares
75 ovals = 75 squares * constant of proportionality ( this could be any number)
so for 75 ovals we can have
75 squares ,
or 2*75 = 150 squares ,
or we could have .6 *75 = 45 squares
20 cm
Den
mm
Base, heighi.
and lengu are
Above
Answers
Answer:
500
Step-by-step explanation:
Volume of a triangular prism formula
The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: ( attatchment )
So, you need to know just three measures: height, base, and length, in order to calculate the volume.
Find a point-slope form for the line with slope 1/5 and passing through the point (-3, -8).
Answers
i think it would be y+8=1/5(x+3)
Step-by-step explanation:
point slope formula is y-y1=m(x-x1)
slope=m
m=1/5
calculate the loan and interest to be paid back if a man borrows 150,000 Naira for 10 years at 5% simple interest
Answers
Answer:
41550
Step-by-step explanation:
The number name of 98745632 in indian system
Answers
Answer:
nine crore eighty seven lakh forty five thousand six hundred thirty two is the answer
what is 10/8 divided by 1/4
Answers
Answer:
5
Step-by-step explanation:
i think the answer is 5
-95
What is the quotient of
??
o
O
O
32
49
O )
12
2
༣
-29
Answers
Answer:
[tex] - 2 {x}^{9} [/tex]
5m > 45 I need help
Answers
Answer:
m = 10
5 x 10 = 50
50 > 45
Step-by-step explanation:
P g In the figure, lines m and nare parallel to each other. Lines p and q are also parallel to each other. 689 х The value of x is. degrees, and the value of y is degrees.
Answers
Answer:
220 i think
Step-by-step explanation:
The sum of a number (m) and 15 is 80. Which equation shows this relationship
Answers
Answer:
m+15=80
Step-by-step explanation:
A number plus 15 = 80
m + 15 =80
Which expression is equivalent to (3a)-2?
O
o
3a2
ܝ | ܝ | ܚ| ܘ ܩ|ܛܘ
Answers
how to solve 700/2,5 with steps please
Answers
what is the answer for this equation 3x-2=2x+9
Answers
Answer:
x = 11
Step-by-step explanation:
3x-2x=9+2 1st and 2nd principle
X=11
Which is 14 divided by 0.50?
Answers
14÷0.50
=28
Hope this helped you- have a good day bro cya)
Solve for me please
Answers
Answer:
[tex]{ \rm{10x + 5y + 2z = 5}} \\ { \rm{4x - 5y - 5z = 8}} \\ { \rm{3x + 5y + 4z = 1}}[/tex]
• First find x
[tex]{ \rm{10x = 5 - 5y - 2z - - - (i)}}[/tex]
• Find y
[tex]{ \rm{4x = 8 + 5y + 5z - - - (ii)}}[/tex]
• Find z
[tex]{ \rm{3x = 1 - 5y - 4z - - - (iii)}}[/tex]
equate the three equations:
[tex]{ \rm{0z - 10= 2y}} \\ \\ { \boxed{ \bf{y = - 5}}}[/tex]
Find z
[tex]{ \rm{z = ( - 1 \times - 5)}} \\ \\ { \boxed{ \bf{z = 5}}}[/tex]
Find x
[tex]{ \rm{3x + 5y + 4z = 1}} \\ \\ { \rm{3x - 25 + 20 = 1}} \\ \\ { \rm{3x = 6}} \\ \\ { \boxed{ \bf{x = 2}}}[/tex]
Based on your equation, what was the car’s approximate initial velocity (at time=0)?
Answers
From the intercept of the line of best-fit, the car’s approximate initial velocity was of 5.7 m/s.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.
For this problem, the input and the output are defined as follows:
Input: Time in seconds.Output: Velocity in m/s.Hence the points are given by:
(2, 13.1), (4, 19.8), (6, 28.1), (8, 34.6).
Using these points and a calculator, the equation is:
v = 3.64s + 5.7
The intercept of 5.7 represents the initial velocity in m/s.
A similar problem, also involving a line of best-fit, is given at https://brainly.com/question/22992800
#SPJ1
Flying with the wind a plane went 348 miles per hour. Flying into the wind the plane only went 316 miles per hour What is the speed of the plane in still air? What is the speed of the wind
Answers
Answer:
?okihhligiutf rseyra qryjvgukvfyucgyivghvhgj
how do you turn 4.90 into a fraction
Answers
4.90 *100
~~~~~~~~~ =490/100
1 * 100
In order to reduce the faction you find the greatest common factor for 490 and 100 .
The factors of 490 are : 1,2,5,7,10,14,35,49,70,98,245,490
The factors of 100 are : 1,2,4,5,10,20,25,50, 100
And the common factor is 10 to reduce the fraction you divide both the numerator and denominator by the gfc value
490 490/10
~~~~=~~~~~~~~ =49/10
100 100/10
Nick walked ¾ of a mile in 12 minutes. At the same pace, how far could he walk in 48 minutes?
Answers
Answer:
3 miles
Step-by-step explanation:
To get from 12 to 48 we can multiply by 4. So if we multiply 3/4 by 4 we would get the number of miles:
3/4 × 4 is the same as 3/4 × 4/1 which is 12/4 or 3
He could walk 3 miles in 48 minutes.
Hope this helps!
Ratio table and please solve this it the picture I need it for homework
Answers
Answer:
4,12,8 in this order
Step-by-step explanation:
The ones on the top row are double the ones on the bottom row. So the ones on the bottom are half of the number that is above it.
Does anyone have the answer key for this assignment?
Answers
Answer:
try searching it up
Step-by-step explanation:
In a normal distribution the mean is 30.What will be the value of median of this distribution?
Answers
Answer:
30
Step-by-step explanation:
because in normal distribution
mean=median=mode
Yesterday, Maura made $142 at her waitressing job. $67 was tips, and the rest was her regular rate of $10 per hour. How long did Maura work yesterday?
Answers
$75 divided by $10 = 7.5 hours
If Maura made $142 at her waitressing job. $67 was tips, and the rest was her regular rate of $10 per hour then she worked for 7.5 hours.
The total amount she made is the sum of her tips and her regular rate:
Total Earnings = Tips + Regular Rate
Given that:
Tips = $67
Regular Rate = $10 per hour
Total Earnings = $142
We can set up the equation:
142 = 67 + 10h
Now, solve for "h" (the number of hours Maura worked):
10h = 142 - 67
10h = 75
h = 75 / 10
h = 7.5
Hence, Maura worked for 7.5 hours yesterday.
To learn more on Equation click here:
https://brainly.com/question/10413253
#SPJ3
What is the HCF of two consecutive odd numbers? for 50 points
Answers
Answer:
The HCF of two consecutive odd number is 1.Step-by-step explanation:
What is the HCF of two consecutive odd numbers?
The HCF of two consecutive odd number is 1.
what are all the questions?♀️ step by step please
Answers
Answer:
which questions pls, where are they
Can you help me
algebra 1
Answers
See the picture above for the solution.
what is the LCD of 5/7, 1/6, and 11/12
Answers
Answer:
celluar resperation
Step-by-step explanation: