The required domain of the function that represents the volume of water in the pool after x minutes is 0 < x < 350.
Given that,
A 350-gallon pool is being drained at a rate of 2 gallons per minute, what is the domain of the function that represents the volume of water in the pool after x minute is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
since the volume of the pool when it was full of water is 350 gallons,
so the domain of the water present in the pool will be from 0 gallons of water to 350 gallons of water. But water gets drained at the rate of 2 gallons per minute, so the water present must be less than 350 in the first second. The domain of water remaining in the pool will be 0 < x < 350.
Thus, The required domain of the function that represents the volume of water in the pool after x minutes is 0 < x < 350.
learn more about function here:
brainly.com/question/21145944
#SPJ2
Write an equation in slope-intercept form for the line graphed below.
Answer:
y = 2x - 5
Step-by-step explanation:
-5 because its the y-intercept where the line intercepts the y-axis
2x because it is your slope (the line jumps two units vertically every one unit horizontally)
What is the the slope of the line through the following points?(7,-4) and (3,8)
3
-3
1
o 1
Answer:
-3
Step-by-step explanation:
Which list contains all of the factors of the number 48? (1 point)
O1, 2, 3, 4, 6, 8, 12, 16, 24
O2, 3, 4, 6, 8, 12, 16, 24, 48
O1, 2, 3, 4, 6, 8, 12, 16, 24, 48
O1, 2, 3, 4, 6, 8, 9, 12, 16, 24. 48
Answer:
1,2,3,4,6,8,12,24,48.
Step-by-step explanation:
To Find A Factor Of A Number You'll Need To Find Two numbers by which you multiply to get the number you're looking for.SO TO FIND THE FACTOR OF 48 YOU WILL NEED TO FIND TWO NUMBERS THAT CAN MULTIPLY EACH OTHER AND GIVE A PRODUCT OF 48
1×48=48(Any number multiplied by 1 is the number itself and 1 multiplied by 48 is 48 so it makes it a factor)
2×24=48(Here you can clearly see that when 2 is multiplied by 24 the product is 48 so 2 and 24 becomes a factor of 48)
3×16=48(So getting the product 48 by multiplying 3 and 16 3 and 16 becomes a factor of 48)
4×12=48(You can see that when you multiply 4 by 12 the product is 48 so 4 and 12 becomes a factor of 48)
5×?=48(You can't get any number to multiply by 5 to get 48 so the number 5 is not a factor of 48)
6×8=48(With this you can see that when 6 is multiplied by 8 its product is 48 so it becomes a factor of 48)
So The Factors We Got After We Multiplied The Two Numbers Are As Follows;
1 and 48
2 and 24
3 and 16
4 and 12
So the above numbers becomes the factor of 48
So the factors of 48 are: 1,2,3,4,6,8,12,24,48.
In triangle TRS, TZ = (3x) inches and WZ = (2x - 3) inches. Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U. [Figure may not be drawn to scale] What is WZ? 6 inches 9 inches 18 inches 27 inches
Answer:
it is 9
Step-by-step explanation:
The value of WZ will be equal to WZ= 9 inches so the correct option is B.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
We have: U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR
This means that.Z is the centroid of the given triangle centroid point divides any median in the triangle in the ratio of 2:1 from the vertex
This means that:
TZ = 2ZW
3x = 2(2x-3)
3x = 4x - 6
x = 6
Now, we get WZ as follows:
WZ = 2x - 3 and x = 6
WZ = 2(6) - 3
WZ = 12 - 3
WZ = 9 in
Therefore the value of WZ will be equal to WZ= 9 inches so the correct option is B.
The complete image of the triangle is attached with the answer below.
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ5
4.82
write as a fraction or mixed number in simplest form
I'm pretty sure 4.82 as a simplified fraction is 241/50.
At the party ⅗ of a pie are eaten.
Jo eats ⅘ of what is left.
What fraction of the pie does Jo eat?
(could you show your work:))
Answer:
1/10 of the pie
Step-by-step explanation:
Step-by-step explanation:
5/5-3/5=2/5
2/5-4/5 of itself
This leave 1/5 of 2/5
if we make this decimals then it becomes 0.40
0.40/5=0.08
or 8/100,4/50,2/25
Need help asap thank you
Answer:
D is 107 and E is 38
Step-by-step explanation:
20x+40=180
20x=140
X=140/20
x=7
M<A=5(7)+3
38
m<a=m<e
15(7)+2
107
m<b=m<d
6 The temperature at Wonder Lake is 12°F. During a storm, the temperature changes by -26°F. What is the temperature after the storm show your work
Answer:
-14
Step-by-step explanation:
12-26
10-20=10
2-6=4
-14
I may have done this wrong
Tyler took $20 out of his checking account 6 days in a row while he was on vacation. Which integer shows the total change in his checking account balance for those days?
Answer:
120
Step-by-step explanation:
20 x 6 = 120 which will be subtracted by his balance. hence the change.
Answer:
-$160
Step-by-step explanation:
20*6=160
y = 3x - 2 what is the answer
Answer:
[tex]x = \frac{2}{3}[/tex] [tex]y = -2[/tex]I hope this helps!
find the slope given (2,-7) and (-1,6)
Answer:
[tex]-\frac{13}{3}[/tex]
Step-by-step explanation:
PLEASE HELP! Just do 5 - 7. Thanks
Answer:
5.
Rectangle a:
Perim: 16 cm
Area: 12 cm^2
Rectangle b:
Perim: 32 cm
Area: 48 cm^2
6.
16:32 or 16/32 or 16 to 32
7.
12:48 or 12/48 or 12 to 48
Step-by-step explanation:
Evaluate f(x) when x=-10
(2x - 4 if -3
f(x) =
\x2 +3 if 10 < x <13
-24
16
No solution
-7
Answer:
Step-by-step explanation:
-7 is the correct.
You spend 3 2/3 hours hiking and an additional 3/4 hour to rest.
A) How much time did you spend hiking and resting?
____ Hours
B) How much more time did you spend hiking than resting?
____ Hours
Explain how you got your answer.
Answer:
A: 3 hours and 55 minutes
B: 3 hours and 40 minutes more time hiking than resting.
Step-by-step explanation:
Find the measure of angle b.
solve for R
D = RT
PLZ HELP ME
Answer:
Distance = Rate x Time
Is that what you are trying to figure out?
Answer:
R=D/T
Step-by-step explanation:
since D equals R times T, R would equal D divided by T
If water flows through a pipe at a rate of 6 milliliters per hour, how wil I express this rate of flow in pints per day?
Answer:
0.304 pints per day
Step-by-step explanation:
Here, we want convert
if 6 milliliters flow in an hour , then in a day which is 24 hours, the amount that will flow is 24 * 6 = 144 milliliters in a day
so we need to convert this to pint
mathematically;
1 pints= 473.176 ml
x pints = 144 ml
x =
144/473.16 = 0.304 pints per day
A lawn sprinkler sprays water onto part of a circular region as shown below. What is the exact area in square feet of the region that the sprinkler sprays with water?
Answer:
80 ft
Step-by-step explanation:
e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form
to work this out you need to solve for your y-intercept. by using what you have.
once you do so you get the answer y=1/2x+3
(9.32 * 10^3) (3.32 *10^2)
Answer:
−72,−2.8,−54, 43, 1.3
Step-by-step explanation:
Answer:
3,094,240
Step-by-step explanation:
(9.32 x 10^3) (3.32 x 10^2)
(9.32 x 1000) (3.32 x 100)
(9320) (332) = 3094240
which two statements are true about triangle b?
Answer:
A, C
Step-by-step explanation:
help for some points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
parallel, series
Step-by-step explanation:
my bros if 1+1 was to = 3 would 2+2=5?
Answer:
No
Step-by-step explanation:
1+1=2 2+2=4
A soccer team is selling doughnuts to raise money for new uniforms. They are selling the doughnuts for $8 per dozen. They must pay Delightful Donuts $2 per dozen doughnuts and a $20 delivery fee for the doughnuts purchased to sell. Choose the function that represents a Profit Function. Select all that apply.
Answer:
P(x)=8x-20
P(x)=8x-(2x+20(
Step-by-step explanation:
6x^2+4x-2
Factor the trinomial
Answer: 2 (3x-1) (x+1)
Step-by-step explanation: Add and subtract the second term to the expression and factor by grouping.
What is the solution to the inequality below? 2(x -1) - 4(x + 2) < 5x
Answer:
[tex]\boxed {x > -\frac{10}{7}}[/tex]
Step-by-step explanation:
Solve the given inequality:
[tex]2(x - 1) - 4(x + 2) < 5x[/tex]
-Use Distributive Property:
[tex]2(x - 1) - 4(x + 2) < 5x[/tex]
[tex]2x - 2 - 4x - 8 < 5x[/tex]
-Combine like terms:
[tex]2x - 2 - 4x - 8 < 5x[/tex]
[tex]-2x - 10 < 5x[/tex]
-Subtract both sides by [tex]5x[/tex]:
[tex]-2x - 10 - 5x < 5x - 5x[/tex]
[tex]-7x - 10 < 0[/tex]
-Add both sides by [tex]10[/tex]:
[tex]-7x - 10 + 10 < + 10[/tex]
[tex]-7x < 10[/tex]
-When you are dividing a integer by a negative integer, the inequality sign would change. So, divide both sides by [tex]-7[/tex]:
[tex]\frac{-7x}{-7} < \frac{10}{-7}[/tex]
[tex]\boxed {x > -\frac{10}{7}}[/tex] (final answer)
Which matrix represents matrix C?
Answer:
The C programs in this section perform the operations of Addition, Subtraction and Multiplication on the 2 matrices. The transpose of a matrix is the interchange of rows and columns.
6(2y-2)=36 what is the answer?
Answer:
y= 4
Step-by-step explanation:
When shopping for life insurance, the best strategy is to:
a. Follow your agent's recommendations. They are the experts and it is the agent's job to make
sure you get the products that are right for you.
b. Buy your coverage through your employer, if possible.
c. Figure out how much you need, then comparison shop using the Web and other resources.
d. Wait until you are older so that you can buy a cheaper, shorter term policy.
Please select the best answer from the choices provided
B
O O O O
oo >
Mark this and return
Submit
Answer:
answer is "C"
Step-by-step explanation:
just took the test on edge 2020
The best strategy when shopping for life insurance is option (c): Figure out how much coverage you need, then comparison shop using the Web and other resources.
Choosing life insurance is an important decision that impacts your loved ones' financial security in the future. Rather than solely relying on an agent's recommendations or employer-provided coverage, it's crucial to assess your specific needs and financial situation. Take the time to determine the appropriate amount of coverage based on factors like family expenses, outstanding debts, and future financial goals.
Once you have a clear understanding of your needs, comparison shopping allows you to explore various insurance providers, their policy features, and premiums. This enables you to find the best policy that meets your requirements and provides value for your money. Making an informed decision ensures you have the right life insurance coverage to protect your loved ones in the long run.
To know more about strategy:
https://brainly.com/question/29056752
#SPJ6
I need this in less than 20 minutes!! Any help is appreciated!
Answer:
Answer is x=-2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The answer is C which is 2
