Answers
Answer: Choice B
A pool is filled with water using one valve. A little time after the pool is filled to its capacity, the pool needs to be emptied because of some problems. Then the pool is refilled immediately, using two valves this time.
========================================================
Explanation:
The parts where the graph goes uphill, as you move from left to right, is when the pool is being filled up. The slope tells us how fast the water is being added. The steeper the slope, the faster the rate.
Compare the first time the pool is filled up to the second time we fill it up. The second upward slope is steeper, indicating a faster rate. So this means either we brought a bigger hose, we increased the water flow rate, or we used two valves.
The downhill portion is when the pool is being emptied.
The flat parts are when the pool's water level is not changing. This is likely when the pool is filled to capacity. Of course, there's a buffer between the water level and the deck level, to avoid water spilling onto the deck (since water is going to be splashed and sloshed around).
All of these facts lead to choice B being the answer.
----------------------------
Extra info:
Choice A is false because the people in the pool will reduce the water level (splashing moves the water onto the deck) but this amount of water removed is very tiny compared to the massive volume of water in the pool. If choice A was true, then you'd need a hose to constantly be refilling the pool. Choice C is false because of the phrasing "immediately after the pool is filled to capacity". This choice of language directly means there wouldn't be any flat part of the graph. Instead we'd have a sharp decline just as we reached the peak. Choice D is false because of the fact it mentions the refill rate is the same as the initial fill rate. This is not true because the second increasing portion is steeper compared to the first increasing portion.So we could effectively eliminate choices A, C and D to be left with B as our final answer.
Related Questions
For his long-distance phone service, Jim pays a $3 monthly fee plus 11 cents per minute. Last month, Jim's long-distance bill was $21.48. For how many minutes was Jim billed?
Answers
Answer:
168
Step-by-step explanation:
3 + .11x = 21.48
.11x = 18.48
x = 168
6x+12=12+6x Am I right? There is no solution 0=0
Answers
Answer:
No, it's c, good try though
Step-by-step explanation:
0=0 is true which means no matter what x is, it will be true. If it said 0=1 or something it would be no solution because no matter what, that is not true
Answer:
there are many solutions.
Step-by-step explanation:
because you Combine like terms: 6x + -6x = 0
0 = 0
and the Solution is going to be many solutions like
0 = 0
If you sleep 7 hours every night how many hours are you AWAKE in a year?
Answers
i need work shown for the assignment
Answers
Answer:
q,p,r i think
Step-by-step explanation:
Answer:
Q, P, R
Step-by-step explanation:
∠Q is the smalest because is across the smallest side
∠P is second largest because is across the middle side
∠R is the largest angle because is across the biggest side
The sum of two numbers is 30. One number is 12 more than the other. Find these two numbers.
Answers
Answer:
21 and 9 are the numbers
Step-by-step explanation:
check by doing 21 minus 9, they also add into 30 together. if you haven't already figured it out.
A rectangle has sides of length of 6 and
[tex]6 \sqrt{3} [/tex]
what is the length of the diagonal
Answers
Answer:
Step-by-step explanation:
Say that :
a=6 , b=6[tex]\sqrt{3}[/tex]
and the diagonal is c=?
c^2=a^2+b^2
So
c[tex]\sqrt{a^{2}+b^{2} } =\sqrt{6^{2}+(6\sqrt{3})^{2} } \\=12[/tex]
I hope it will help you :)
WILL GIVE BRAINLIEST FOR RIGHT ANSWER!!!
Answers
Answer:
It is B.
Step-by-step explanation:
this is my best subgect in math trust me and please give me brainlyest
Where is √45 on a number line
Answers
Answer:
6.7082039325
Step-by-step explanation:
Answer:
Somewhere between 6.7
Step-by-step explanation:
Sub to my channel.
christmas premiere tomorrow.
can somebody help me?
Answers
Answer:
7-(-2)=7+2
Step-by-step explanation:
7-(-2)=9
7+2=9
Hope this helps!
How do you do this answer this pls
Answers
Answer:
7, 5
Step-by-step explanation:
if its a reflection over the y axis it goes into the all positive zone so it will become positive
Answer:
(-7,-5)
Step-by-step explanation:
Solve for y. 3.5y + 2.5y = 345
Answers
Answer:
The answer is 57.5
Step-by-step explanation:
A football team scored 12 times in a game for a total of 72 points. Each touchdown with the extra point is worth 7 points. Each field goal is worth 3 points. If
t is the number of touchdowns and fis the number of field goals, which system of equations can be used to determine the number of touchdowns and field
goals made in the football game?
t+= 12
31 + 71 72
t+f12
72. 31 = 72
+72
7+31 12
t+= 12
10(t+1) = 72
Answers
Answer:
t+f=12
7t+3f=72
Step-by-step explanation:
7pts for t + 3pts for f =72 pts
7t+3f+72
This question is based on the system of equations. Therefore, the t + f = 12 and 7t + 3f =72 are system of equations can be used to determine the number of touchdowns and field goals made in the football game.
Given:
A football team scored 12 times in a game for a total of 72 points. Each touchdown with the extra point is worth 7 points. Each field goal is worth 3 points.
We need to choose the system of equations from the given options can be used to determine the number of touchdowns and field goals made in the football game.
According to the question,
Let t is the number of touchdowns and f is the number of field goals.
It is given that, a football team scored 12 times in a game.
In mathematically expressed as,
⇒ t + f = 12
Each touchdown with the extra point is worth 7 points and field goal is worth 3 points.
In mathematically expressed as,
⇒ 7t + 3f =72
Therefore, the t + f = 12 and 7t + 3f =72 are system of equations can be used to determine the number of touchdowns and field goals made in the football game.
For more details, prefer this link:
https://brainly.com/question/24065247
What is the solution to the equation 3(2x+5) = 3x+4x
Ox=0
Ox=4
O x-5
Ox=15
Answers
Answer:
ox=15........ .......
The solution to the equation 3(2x+5) = 3x+4x is x = -5, the correct option is C.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
The equation 3(2x+5) = 3x+4x
Now,
This is because we can simplify the equation by using the distributive property and combining like terms. For example: 3(2x+5) = 3x+4x Expanding, we get: 6x + 15 = 3x + 4x Combining like terms, we get: 6x + 15 = 7x Subtracting 6x from both sides, we get: 15 = x Subtracting 15 from both sides, we get: x = -5
Therefore, by the given equation the answer will be x=-5.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ7
What is the slope of the line that passes through the points (5,4) (6, 0)?
Answers
Answer:
y=-4x+24
Slope is -4
Step-by-step explanation:
1. Use the slope formula to find the slope of the line.
y2-y1/x2-x1
0-4/6-5 = -4/1
Slope = -4
2. Use point-slope to find the equation for the line.
y-y1=m(x-x1)
y-0=-4(x-6)
y-0=-4x+24
3. Simplify to put it in y=mx+b form.
y=-4x+24
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,1), m=7
Answers
Answer:
y-1=7(x+3)
Step-by-step explanation:
point slope form is y-y1=m(x-x1)
unit test: line and triangle relationships - part 1
question 8
What are the coordinates of the centroid of a triangle with vertices P(−4, −1), Q(2, 2), and R(2, −3)?
Enter your answers in the boxes.
( , )
Answers
Answer:
[tex]G(0, -\dfrac{2}{3})[/tex]
Step-by-step explanation:
Given that:
The coordinates of the vertices of a triangle [tex]\triangle PQR[/tex] are given as:
[tex]P(-4, -1)[/tex], [tex]Q(2, 2)[/tex], and [tex]R(2, - 3)[/tex].
To find:
The coordinates of the centroid of the triangle.
Solution:
The coordinates of the centroid of a triangle is given as:
[tex]G(\dfrac{x_1+x_2+x_3}{3}, \dfrac{y_1+y_2+y_3}{3})[/tex]
Where [tex](x_1,y_1), (x_2,y_2)\ and\ (x_3,y_3)[/tex] are the coordinates of the vertices of the triangle.
As per the given values, we have:
[tex]x_1 = -4\\y_1 = -1\\x_2 = 2\\y_2 = 2\\x_3 = 2\\y_3 = -3[/tex]
Putting the values,we can find the coordinates of centroid as:
[tex]G(\dfrac{-4+2+2}{3}, \dfrac{-1+2-3}{3})\\\Rightarrow G(0, -\dfrac{2}{3})[/tex]
Therefore, the coordinates of the centroid is:
[tex]G(0, -\dfrac{2}{3})[/tex]
Hereee is the brighter one hopefully
Answers
Step-by-step explanation:
oh noo nothing can be seen properly..... °-°
but ik a math genius who can help u
An equilateral triangle has a perimeter of
15x + 24. What is the length of one side of the triangle?
Answers
Answer:
one side length is 39
Step-by-step explanation:
is it ok
Slope of the function
Answers
Answer:
3
Step-by-step explanation:
Examine A ABC below.
Determine which of the following relationships is true.
DE = 2AC
DE || AC
m2BCA = 2(m_BED)
DE = AC
Answers
Answer:
DE║ACStep-by-step explanation:
Given relationships:
DE = 2 AC
Incorrect. Should be DE = 1/2 ACDE║AC
Correctm∠BCA = 2(m∠BED)
Incorrect. Should be m∠BCA = m∠BEDDE = AC
Incorrect. Should be DE = 1/2 ACWithout using a calculator, simplify
Root of 20.
Answers
Answer:
4.472135955 , is the answer. simplified to two decimal places it will be 4.47
Need help ASAP!! Tyyy
Answers
Answer:
its 6
Step-by-step explanation:
could anyone help answer this question? please
Answers
B(the 2nd one)
Step-by-step explanation:
trust me
What percent of 30 is 16.5 ?
Answers
Explanation.
PLEASE HELP WILL GIVE YOU 45 POINTS!!!!
Answers
Answer:
Side GE = 7.7
Side GF = 5.1
Side FE = 9.2358
Angle ∠E = 56.482°
Angle ∠F = 33.518°
Angle ∠G = 90°
Please give Brainliest thx
need help ASAP
- 40 points
Answers
Answer: B
Step-by-step explanation: SAS: Side, Angle, Side SSS: Side, Side, Side AA: Equilateral Triangle
Verify the following reduction formula:
[tex]\displaystyle \int \sec^n(u)\, du=\frac{\sec^{n-2}(u)\tan(u)}{n-1}+\frac{n-2}{n-1}\int \sec^{n-2}(u)\, du, \; n\neq 1[/tex]
Answers
Answer:
See Explanation.
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyEquality PropertiesAlgebra I
Combining Like TermsAlgebra II
Exponential RulesPre-Calculus
Pythagorean Identities: tan²(x) = sec²(x) - 1Calculus
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration Rule 1: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]
Integration Rule 2: [tex]\int {f(x) \pm g(x)} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration 1: [tex]\int {sec^2(u)} \, du = tan(u) + C[/tex]
Integration by Parts: [tex]\int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
[tex]\int {sec^n(u)} \, du[/tex]
Step 2: Rewrite
[Integral - Alg] Separate Exponents: [tex]\int {sec^n(u)} \, du = \int {sec^{n-2}(u)sec^2(u)} \, du[/tex]Step 3: Identify Variables
Using LIPET, we define variables to use IBP.
Use Integration 1.
[tex]u = [sec(u)]^{n-2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ dv = sec^2(u)du\\du = (n-2)[sec(u)]^{n-3} sec(u)tan(u) \ \ \ \ \ \ \ \ v = tan(u)[/tex]
Step 4: Integrate
Integrate [IBP]: [tex]\int {sec^n(u)} \, du = tan(u)[sec(u)]^{n-2} - \int [{tan(u)(n-2)[sec(u)]^{n-3}sec(u)tan(u)} ]\, du[/tex][Integral - Alg] Multiply: [tex]\int {sec^n(u)} \, du = tan(u)[sec(u)]^{n-2} - \int [{tan^2(u)(n-2)[sec(u)]^{n-2}}] \, du[/tex][integral - Int Rule 1] Simplify: [tex]\int {sec^n(u)} \, du = tan(u)[sec(u)]^{n-2} - (n-2)\int [{tan^2(u)[sec(u)]^{n-2}}] \, du[/tex][Integral - Pythagorean Identities] Rewrite: [tex]\int {sec^n(u)} \, du = tan(u)[sec(u)]^{n-2} - (n-2)\int [{[sec^2(u) - 1][sec(u)]^{n-2}}] \, du[/tex][Integral - Alg] Multiply/Distribute: [tex]\int {sec^n(u)} \, du = tan(u)[sec(u)]^{n-2} - (n-2)\int [{sec^n(u)-[sec(u)]^{n-2}}] \, du[/tex][Integral - Int Rule 2] Rewrite: [tex]\int {sec^n(u)} \, du = tan(u)[sec(u)]^{n-2} - (n-2) [\int {sec^n(u)} \, du - \int {[sec(u)]^{n-2}} \, du ][/tex][Integral - Alg] Distribute: [tex]\int {sec^n(u)} \, du = tan(u)[sec(u)]^{n-2} - (n-2) \int {sec^n(u)} \, du + (n-2)\int {[sec(u)]^{n-2}} \, du[/tex]Rewrite: [tex]\int {sec^n(u)} \, du = sec^{n-2}(u)tan(u) - (n-2) \int {sec^n(u)} \, du + (n-2)\int {[sec(u)]^{n-2}} \, du[/tex][Integral - Alg] Isolate Integral Term: [tex]\int {sec^n(u)} \, du + (n-2) \int {sec^n(u)} \, du = sec^{n-2}(u)tan(u) + (n-2)\int {[sec(u)]^{n-2}} \, du[/tex][Integral - Alg] Combine Like Terms: [tex](n - 1)\int {sec^n(u)} \, du = sec^{n-2}(u)tan(u) + (n-2)\int {[sec(u)]^{n-2}} \, du[/tex][Integral 2 - Alg] Rewrite: [tex](n - 1)\int {sec^n(u)} \, du = sec^{n-2}(u)tan(u) + (n-2)\int {sec^{n-2}(u)} \, du[/tex][Integral - Alg] Isolate Original Integral: [tex]\int {sec^n(u)} \, du = \frac{sec^{n-2}(u)tan(u)}{n-1} + \frac{n-2}{n-1} \int {sec^{n-2}(u)} \, du[/tex]And we have proved the Reduction Formula!
Find the sum
10 + 8 + 0.6 + 0.04
Answers
10 + 8 + 0.6 + 0.04 = 18.64
Simplify each expression.
1) 7(3v - 3)
2) -3(-n + 4)
3) -6(-8x - 3)
4) -(3b - 9)
Answers
Answer:
Step-by-step explanation:
1 21v - 21
2 3n - 12
3 48x + 18
4 -3b + 9
Answer:
1) 21v-21
2) 3n-12
3) 48x+18
4) -3b+9
Step-by-step explanation:
used distributive property to solve
What is the answer to this problem?
Answers
Answer:
B
Step-by-step explanation:
You can knock out A, because this isn't talking about temperature, and C and D are proven untrue by the data. The only one left is B, which if you check, is also consistant with the data.
