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
Zero or undefined algebraic fractions
Answers
Answer:
Step-by-step explanation:a fraction is said to be undefined or have no meaning when the denominator is 0 .solytion determine whwn the denominator equals 0 set the denominator is zero 0 and solve
Beth simplified the expression 8 + 10 + 8 + 2 minus (4 times 1.4) minus (4 times 1.4) to find the perimeter of the figure on the grid.
On a coordinate plane, a figure has side lengths of 8, 10, 8, 2, (4 times 1.4), (4 times 1.4).
What error did Beth make?
She found the area of the figure instead of the perimeter.
She subtracted the lengths of the diagonal lines instead of adding them.
She used 4 times 1.4 to represent the length of each diagonal line instead of 4.
She added the horizontal and vertical lengths instead of multiplying them.
Answers
Answer:
Step-by-step explanation:
the answer is 16.8
Explanation: well for starters you have to do what's in the parenthesis, so 4 times 1.4 is equal to 5.6. so now we add up the equation and get 28, so now we are left with 28-5.6-5.6 which equals 16.8
hoped this helped;)
Answer:
She subtracted the lengths of the diagonal lines instead of adding them.
Step-by-step explanation:
What is 80% of _____ is 60
Answers
Answer:
75
Step-by-step explanation:
First, we know that 60 is 80 percent of something.
So, on that knowledge, we can setup this equation:
X × 0.80 = 60
Then, we multiply both sides by 0.80 , we then get 75.
We can check with 75 × 0.80 does equal to 60!
If this answer helped, consider marking this as brainliest!
Cheers!
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.
Find f-1(x), if f(x) = 3x – 6. Justify your
reasoning with math calculations and/or a written
explanation.
Answers
Explanation: given f(x) = 3x - 6.
Let y = f(x) and so y = 3x - 6.
Trade places between x and y.
x = 3y - 6
Solve for y
x + 6 = 3y
y = x + 6/3
Now the new y is the inverse and so y = f-1(x)
f-1(x) = 1/3(x + 6)
Whats the answer? ( Khan Academy ) Also Ill give branliest if its correct!
Answers
Answer:
A is the equavelent expression
Option B
Help with question thanks
Answers
Step-by-step explanation:
horizontal asymptote y=0
the graph is in the image above
range[-1, infinity)
domain(-infinity, infinity)
find the values of x and y
Answers
Answer:
x = 68°, y=14
Step-by-step explanation:
∵ m║n
∴ m∠x = 180 - m∠112
m∠x = 68°
∵ ∠x and ∠(5y - 2) are vertically oppose
∴ m∠(5y - 2) = m∠x
m∠(5y - 2) = 68
Make equation
5y - 2 = 68
5y = 68 + 2
5y = 70
y = 70/5
y = 14
Hope this helps
Step-by-step explanation:
• The supplement of the angle with the measure of 112° is :
[tex]\bf x + 112 = 180 \\ \bf x = 180 - 112 \\ \bf \boxed{ \color{#FF0000}x = 68 }[/tex]
This angle of 68° and the angle sign x° are in angular positions.
Internal alternators
The lines m and n are parallel, these angles have the same measure.
The marking of the angle x and the marking of the angle (5y-2)° are opposite to the vertex.
They have the same measure:
[tex]\bf 5y - 2 = 68 \\ \bf 5y = 68 + 2 \\ \bf 5y = 70 \\ \bf y = 70 \div 5 \\ \bf \boxed{ \color{#FF0000}y = 14 }[/tex]
а
Mamadou has a points card for a movie theater.
• He receives 55 rewards points just for signing up.
• He earns 7-5 points for each visit to the movie theater.
• He needs at least 100 points for a free movie ticket.
.
Answers
Answer:
7· 5n + 55 ≥ 100 is required inequality
Step-by-step explanation:
Let he visit be theater x time
→ for new movie ticket
→55+7·5xn≥100
→7·5n+55≥100
Hence, 7· 5n + 55 ≥ 100 is required inequality
Answer:
Inequality: 7.5v+55≥100
Answer: v≥6
Step-by-step explanation:
Have a good day :)
The weight of two fish tighter is 16 kg. If one fish weight is 10.5 kg, find the ratio of
the weight of the smaller fish to that of the bigger fish.
Answers
please help with solving
Answers
N is midpoint of M.0
Meaning M.N also has to be 4
4+4= 8
N.P = 6
0.P = 2
8+ 2 = 10
Help please :) will give brainliest if the answer is right
Answers
Answer:
(A) D.
(B) Cosh(-x)= e^-x+e^x
2
and the last box on the bottom would be 2
Step-by-step explanation:
What are the measures for the nuber angles
Answers
1. 75
2. 105
3. 105
4. 75
6. 105
7. 105
8. 75
the general solution of the equation cos3x +cos2x =sin3x/2 + Sinx/2 is
Answers
Answer:
I am doiiiiiiinnnnggg just wait
You deposit 572.30 for an account that pays 4.5% interest how much interest you earn after six years
Answers
Answer:
$154.52
Step-by-step explanation:
First, you need to know the formula for this type of question.
The formula is I = Prt. These variables are: I = Interest, P = Principle investment, r = Rate, and t = Time.
So, your equation is I = 572.30(0.045)(6), where you have to find "I".
If you multiply 0.045 and 6, you get 0.27. Then, you multiply 0.27 and 572.30, which is 154.521.
The interest you earn will be $154.521. You can round the thousandths digit based on how you have been taught to do, but I will round the answer to 154.52.
Good luck!
Help me please please please!!!!!!!!!
Answers
Answer:
1 1/5
Step-by-step explanation:
3/10 + 9/10
The denominator is the same so we can add the numerators
12/10
Rewriting
10/10 + 2/10
1 2/10
Simplify the fraction
1 1/5
Answer:
1.2 would be the decimal form to answer and in the fraction form it would be
6/5 or in a mixed number fraction 1 1/5
So 1 1/5 is your answer
Please mark me as branliest
Scarlett has 14 gallons of gas in her car at the beginning of a trip. Every hour Scarlett drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven.
Answers
Answer:N(5)=1.5
Step-by-step explanation:The independent variable x represents the Number of hours driven and the dependent variable is the gallons of gas remaining, because the gallons of gas remaining depends on the number of hours driven.
A function relating these variables is Nx=14-2.5
So N(5)=1.5 meaning 5 hours of driving will result in 1.5 gallons left in the tank.
HURRY PLEASEEEEE
The measure of segment AB with a(-4,-9) and B(4, -3) is
Answers
Answer: 10
Step-by-step explanation:
using [tex]d = \sqrt{(x_{1}-x_{2} )^{2} +(y_{1}- y_{2} )^{2} }[/tex] when [tex]P_{1} =(x_{1} ,y_{1} )[/tex] and [tex]P_{2} = (x_{2}, y_{2})[/tex]
so [tex]d = \sqrt{((-4)-4)^{2}+((-9)-(-3))^{2} }[/tex]
[tex]d = \sqrt{(-4-4)^{2}+(-9+3)^{2} }[/tex]
[tex]d = \sqrt{(-8)^{2}+(-6)^{2} }[/tex]
[tex]d = \sqrt{64+36}[/tex]
[tex]d= \sqrt{100}[/tex]
[tex]d = 10[/tex]
please give me a brainliest answer
simplify:
[tex]x ^{4} - {x}^{2} {y}^{2} + {y}^{4} [/tex]
x4-x2y2+y4
Answers
Answer:
[tex] {x}^{4} - {x}^{2} {y}^{2} + {y}^{4} \\ {x}^{4} + {y}^{4} - {(xy)}^{2} [/tex]
What percent of the hours were billed by Jon, Roy, or Dean?
Write your answer using a percent
sign (%).
Answers
Answer:
10%
Step-by-step explanation:
please tell me if im right or wrong
On Friday, 0.325 of the students in
Keisha's math class were absent. What
percent of the students were absent?
Look at picture for choices!! Quick!!
Answers
Answer:
The answer is A
Step-by-step explanation:
A is equal to the amount of students that were absent.
A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height of the rocket in feet is given by the polynomial −16t2 + 83t + 33, where t is the time in seconds. How high will the rocket be after 3 seconds?
a. 2586 feet
b. 234 feet
c. 138 feet
d. 105 feet
Answers
Answer:
c. 138 feet
Step-by-step explanation:
h(t) = −16t^2 + 83t + 33
At3 seconds
h(3) = -16(3^2) + 83(3) + 33
h(3) = -16(9) + 249 + 33
h(3) = -144 + 249 + 33
h(3) = 138
c. 138 feet
How simplify -8/3 devided by -2/6
Answers
Answer:
The answer is 8
Step-by-step explanation:
-8/3 divided by -1x2 / 3x2
-8/3 divded by -1/3
-8/3 x 3 / 3 x -1 = -8/-1 = 8 x -1 + 0 / -1
= 8
So your answer is 8
Please mark Brainliest I answered First
According to the following image, what is the length of ST?
Answers
Answer:
-4 to 8 I this so but not sure
If y = 14 when x = 8, find y when x = 12.
Answers
m
+ 4 = 7
Step One:
Step Two:
Step Three:
Step Four:
ma9
m/3+4+4+7+4
m/3-7
m=21
m/3+4-47-4
m/3*3+4=743
m/3-3
ma17
m/3+4-3=7-3
m/3*3=3*3
m/3+7=4
m=3
m/3+8=11
m/314-4=7
m+4=21
Answers
Answer:
see below
Step-by-step explanation:
m/3 + 4 = 7
Subtract 4 from each side
m/3+4-4 = 7-4
m/3 = 3
Multiply each side by 3
m/3*3 = 3*3
m =9
what is the distance between the two numbers on a number line
−7,−3 2/3
Answers
Answer:
5/21
Step-by-step explanation:
Take -3/7 and -2/3 subtract them. (-3/7) - (-2/3) find a common denominator and alter fractions based on it. -9/21 + (14/21)
There are 4 red balls and 6 black balls in a bag. Draw consecutively 3 balls with replacement. Find the probability when the first two balls drawn are black and the third ball drawn is red.
Answers
Answer:
[tex]\frac{1}{3} *\frac{1}{2} =\frac{1}{6}[/tex]
Step-by-step explanation:
So the first two balls are black, so the way to change the path is to take two out of six black balls over two out of ten balls, which is 1/3.
If the last one is red then the probability is that if you take one of the four red balls and you take one of the eight balls, you get 1/2.
So the total probability is 1/3 times 1/2 is 1/6.
A woman invested $15,000 part in 7% stocks and the remainder in 9% bonds. If her yearly yield from both investments is $1,230.00, how much did she invest at each rate?
Answers
Using the simple interest relation, the amount invested in stocks and bond respectively is $15,000 and $2000
Simple interest
Principal × rate × timeLet her total principal = p
Stock :
Interest = 15000 × 0.07 × 1 = 1050Bond :
Interest = (p - 15000) × 0.09 = 0.09p - 1350Total interest earned :
1050 + 0.09p - 1350 = 1230
-300 + 0.09p = 1230
0.09p = 1230 + 300
0.09p = 1530
p = $17000
Hence,
Amount invested in stock at 7% = $15000
Amount invested in bond at 9% = $17000 - 15000 = $2000
Learn more : https://brainly.com/question/25297296
Anyone can solve this for me??
Answers
Answer:
15.25 is the better.
Step-by-step explanation:
you don't ounces divided by money.
