Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed belowThe water level increases by 1 inch each hour.
A The water level increases by 1 inch each hour.
B The water level increases by 2 inches each hour.
C The water level increases by a factor of 1/2each hour.
D The water level increases by a factor of 2 each hour.
Answers
Related Questions
A, B and C are integers. If B is greater than A, then the sum of A and B will always produce a solution C with the same sign as B. True or false?
Answers
This is true.
For example :
B = -6
A = -9
A + B = C = -6 + -9 = -15.
The value is C has the same sign as B.
B = 2
A = -5
A + B = -5 + 2 = -3.
Here The sign for C does not match the sign for B, which is positive.
The graph below shows the numbers of cups of mango juice that are mixed with different numbers of cups of lemon-lime soda to make servings of mango soda:
What is the ratio of the number of cups of mango juice to the number of cups of lemon-lime soda?
A.1:40
B.10:1
C.40:1
D.1:10
Answers
Answer:
(B)
Step-by-step explanation:
In the given graph, it is shown the number of cups of mango juice are mixed with different numbers o cups of lemon juice.
Then, From the graph, at Point(10,1),
Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{10}{1}[/tex]
=10:1
At point (20,2)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{20}{2}=\frac{10}{1}[/tex]
=10:1
At point (30,3)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{30}{3}=\frac{10}{1}[/tex]
=10:1
At point (40,4)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{40}{4}=\frac{10}{1}[/tex]
=10:1
Thus, Option B is correct.
Answer:
B
Step-by-step explanation:
In the given graph, it is shown the number of cups of mango juice are mixed with different numbers o cups of lemon juice.
Then, From the graph, at Point(10,1),
Ratio of the cups of mango juice to the number of cups of lemon juice soda=
=10:1
At point (20,2)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=
=10:1
At point (30,3)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=
=10:1
At point (40,4)
Ratio of the cups of mango juice to the number of cups of lemon juice soda=
=10:1
Thus, Option B is correct.
Help me please I can’t do this
Answers
10. 6 cups
11. 35 pt
12. 30 cups
13. 18 qt
A factory employs skilled laborers at$25 per hour and unskilled laborers at $12 per hour. The total hourly cost of the factory’s 24 workers is $405. How many of each type of laborer works at the factory.
Answers
x: skilled laborers
y: unskilled laborers
By writing the system we have:
x + y = 24
25x + 12y = 405
Solving the system:
Step 1:
-25x + -25y = -600
25x + 12y = 405
Step 2:
-13y = -195
y = 195/13
y = 15
step 3:
x = 24-y
x = 24-15
x = 9
Answer:
skilled laborers = 9
unskilled laborers = 15
The graph shows the quadratic function f(x) . What is the average rate of change for the quadratic function from x = 10 to x = 12? Enter your answer in the box.
Answers
Explanation:
1) The average rate of change is the total (net) change of the function divided by the time elapsed (or the distance between the two input data).
2) For example, given:
Initial value of the function, for t = a: f(a)
Final value of the function, for t = b: f(b)
Then, the average rate of change = change on the function / change on hte input variable = [ f(b) - f(a) ] / [ b - a]
3) This is an example with a quadratic function:
f(x) = 3x^2 - 2x + 20
for x = 10, f(10) = 3 (10)^2 - 2(10) + 20 =3(100) - 20 + 20 = 300
for x = 12, f(12) = 3 (12)^2 - 2(12) + 20 = 3(144) -24 + 20 = 428
average rate of change: [ f(12) - f(10) ] / (12 - 10) = [428 - 300] / (2) = 128 / 2 = 64.
This very same procedure you can use whenever you know the function.
If what you have is the graph of the function, just take f(12) and f(10) from the graph, and calculate [f(12) - f(10) ] / (12 - 10) = [ f(12) - f(10) ] / 2.
Answer:
3
Step-by-step explanation:
Just by looking at y = −x 2 + 1, how do you know that it does not represent a line?
A) x is squared.
B) There is no constant term.
C) There is an increase of 1.
D) The coefficient is − 1.
Answers
Answer:
x is squared. is correct.
y = mx + b represents a line. The x term is to the first power. In y = −x2 + 1, the x is squared.
please help fast i will mark brainliest
Answers
The best answer is: "D"
A number that is divisible by 9 is also divisible by 3 because 3 is a factor of 9.
All of the numbers divisible by 9 are also divisible by 3, so "B" and "C" can be ruled out. Not all of the factors of 9 are factors of 3. 9 is a factor of 9. 9 is NOT a factor of 3.
I hope this helps!
~kaikers
During a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. At 7:00 AM there were 6,000 bacteria present in the culture. At noon, the number of bacteria grew to 6,500. How many bacteria will there be at midnight?
Answers
-------------------------------------
-------------------------------------
Work Shown:
x = elapsed time (in hours) since 7:00 AM
y = bacteria population in thousands
eg: something like y = 2 means 2000 bacteria
At 7:00 AM, x = 0 and y = 6
y = a*b^x
6 = a*b^0
6 = a*1
6 = a
a = 6
At 12:00 PM noon, which is 5 hours after 7:00 AM, the population is 6500.
So (x,y) = (5,6.5)
y = a*b^x
y = 6*b^x
6.5 = 6*b^5
6.5/6 = b^5
1.083333 = b^5
b^5 = 1.083333
b = (1.083333)^(1/5)
b = 1.016137
which is approximate
The approximate exponential growth model is
y = 6*1.016137^x
Plug in x = 17 to find the population at midnight. Keep in mind that midnight is 12 hours after 12:00 PM noon, so 12 additional hours elapse after the initial 5, meaning a total of 12+5 = 17 hours pass by from 7:00 AM to 12:00 AM the next day.
y = 6*1.016137^x
y = 6*1.016137^17
y = 7.876618
I made y be the population in thousands, so you'll need to multiply that y value by 1000 to get
7.876618*1000 = 7876.618 which rounds to 7877 when rounding to the nearest whole number
So that's why the answer is roughly 7877
To determine the number of bacteria at midnight, we can use the concept of exponential growth in bacteria. We set up an equation and solve for the growth rate constant, then use the formula to calculate the number of bacteria at midnight.
Explanation:To solve this problem, we can use the concept of exponential growth in bacteria. In this case, the number of bacteria is growing at a rate proportional to its size. We can set up an equation to represent the growth: dN/dt = kN, where N represents the number of bacteria and t represents time. Since the rate of growth is proportional to the current population, we can use the formula N(t) = N0ekt to calculate the number of bacteria at any given time.
In this case, we have the initial number of bacteria N0 = 6000 at 7:00 AM and N(t) = 6500 at noon, so we can plug these values into the formula and solve for k. Then we can use the formula again to calculate the number of bacteria at midnight.
By using this approach, we can determine the number of bacteria that will be present at midnight based on the given growth rate and initial population.
Learn more about Exponential growth in bacteria here:https://brainly.com/question/36625277
#SPJ3
What is the exact volume of the cone?
80π ft³
4003π ft³
400π ft³
418710π ft³
Answers
Where r=5 ft and h=16ft
Volume= 1/3 x pi x 5^2 x 16=400/3 π ft^3
HELP ANSWER FAST WILL PUT BRAINLIEST AND RATE IF CORRECT
A parallelogram has a height of 5 units. One side of the parallelogram is AB. The parallelogram has no right angles.
Draw the parallelogram using the Polygon tool.
Each segment of the grid represents 1 unit.
Answers
How does energy travel in a mechanical wave?
A. In a medium
B. In Space
C. In Time
D. In a vacuum
Answers
Answer:
The answer is In a medium
Step-by-step explanation:
Mechanical waves are waves that require a medium in which to travel, this involves a transfer of kinetic energy from one place to another in the material.
**PLEASE HELP** Suppose your class is raising money for the Red Cross. You make $5 on each basket of fruit and $3 in each box of cheese that you sell. How many items of each type must you sell to raise more than $150?
a. Write a linear inequality that describes the situation.
b. write two possible solutions to the problem
Answers
Let's name variables:
x: basket of fruit
y: box of cheese
We can write the following inequality:
5x + 3y> 150
b. write two possible solutions to the problem
For this problem we can have many solutions:
Two possible solutions are:
Solution 1:
x = 20
y = 20
5 (20) +3 (20)> 150
100 + 60> 150
160> 150
Solution 2:
x = 15
y = 30
5 (15) +3 (30)> 150
75 + 90> 150
165> 150
What binomial must be subtracted from 7t-5) so that the difference of the 2 polynomials is (5r+8)?
Answers
First binomial 7r - 5
Second binomial 5r + 8
2) To pass from 7r to 5r you have to subtract 2r, so the first term of the binomial to be subtracted is 2r
3) To pass form - 5 to + 8, you have fo subtract - 13
4) So the answer is 2r - 13, option b.
pete spends 3/5 of his monthy pay on rent, 1/8 on bills and then spends half of what is left on food. if his monthly pay is $820, how much does he have left at the end of the month?
Answers
24/40 + 5/40 = 29/40 rent and bills
What's left is 40/40 - 29/40 = 11/40
half that goes to grocery leaving 11/80
820 * 11/80 = 112.75
Factor y3−9y2+y−9 by grouping.
Answers
[tex]= y^3 + y - 9y^2 -9 [/tex]
[tex]= y(y^2+1) - 9(y^2+1) [/tex]
[tex]= (y - 9)(y^2+1)[/tex]
Final answer:
To factor the expression y^3 - 9y^2 + y - 9 by grouping, divide it into two groups, factor out common factors, and note that (y - 9) is common to both, yielding the final factored form (y^2 + 1)(y - 9).
Explanation:
To factor by grouping the expression y3 − 9y2 + y − 9, we first split it into two parts where common factors are apparent:
(y3 − 9y2) and (y − 9)
Next, we factor out the common factors from each group:
y2(y − 9) + 1(y − 9)
Now, we notice that (y − 9) is a common factor in both terms. So, we factor (y − 9) out of the entire expression:
(y2 + 1)(y − 9)
This gives us the final factored form of y3 − 9y2 + y − 9, which is (y2 + 1)(y − 9).
Rectangle ABCD has vertices A(8, 5) , B(8, 10) , C(14, 10) , and D(14, 5) . A dilation with a scale factor of 1.2 and centered at the origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (9.6, 6) ?
A′
B′
C′
D′
Answers
The vertex A' corresponds to the coordinates (9.6, 6).
To find the vertex in the dilated image with coordinates (9.6, 6), we can apply the formula for dilation.
In a dilation centered at the origin with a scale factor of 1.2, the coordinates of a point (x, y) are transformed to (1.2x, 1.2y).
Let's calculate the coordinates of the vertices after dilation:
Vertex A' = (1.2 * x-coordinate of A, 1.2 * y-coordinate of A)
= (1.2 * 8, 1.2 * 5)
= (9.6, 6)
Vertex B' = (1.2 * x-coordinate of B, 1.2 * y-coordinate of B)
= (1.2 * 8, 1.2 * 10)
= (9.6, 12)
Vertex C' = (1.2 * x-coordinate of C, 1.2 * y-coordinate of C)
= (1.2 * 14, 1.2 * 10)
= (16.8, 12)
Vertex D' = (1.2 * x-coordinate of D, 1.2 * y-coordinate of D)
= (1.2 * 14, 1.2 * 5)
= (16.8, 6)
Comparing the coordinates of the dilated vertices to the given coordinates (9.6, 6), we can conclude that the vertex with coordinates (9.6, 6) is Vertex A' of the dilated image.
The vertex A' corresponds to the coordinates (9.6, 6).
For more such questions on vertex
https://brainly.com/question/29638000
#SPJ8
The length of rectangle ABCD is 4 in. The length of similar rectangle DEFG is 6 in. How many times greater than the area of ABCD is the area of DEFG?
Answers
is 6/4 of the length of the ABCD rectangle.
6/4=3/2 = 1,5
How many times greater than the surface of ABCD is the DEFG area?
1,5 times
The area of rectangle DEFG is 9/4 times greater than that of rectangle ABCD. This is determined by squaring the scale factor that relates their lengths, since the rectangles are similar.
The area of rectangle DEFG is how many times greater than the area of rectangle ABCD can be found by comparing the squares of their corresponding lengths, since they are similar rectangles. The length of rectangle ABCD is 4 inches, while the length of rectangle DEFG is 6 inches. To determine the area comparison, we square the scale factor, which is the ratio of the lengths of the two rectangles. This means the scale factor is 6/4, which simplifies to 3/2. Squaring this gives us (3/2)² = 9/4. Therefore, the area of DEFG is 9/4 times greater than the area of ABCD.
In the case of the squares Marta has, if one square has side lengths twice that of the other, the larger square will have an area that is 2² = 4 times larger than the smaller square. Applying this concept of squaring the scale factor to rectangles, as in the original question, gives us our ratio of areas between similar figures.
A model rocket is launched from the ground with an initial velocity of 160 ft/sec. how long will it take the rocket to reach its maximum height? Show all work in the space provided. Assume the model rocket’s parachute failed to deploy and the rocket fell back to the ground. How long would it take the rocket to return to Earth from the time it was launched? Show all work in the space provided.
Answers
[tex]h(t)=-16t^2+v_0 t+h_0[/tex], where v₀ is the starting velocity and h₀ is the initial height. Using the velocity and starting height from our problem we have
[tex]h(t)=-16t^2+160t+0[/tex]. The path of this rocket will be a downward facing parabola, so there will be a maximum. This maximum will be at the vertex of the graph. To find the vertex we start out with [tex]x= \frac{-b}{2a}[/tex], which in our case is [tex]x= \frac{-160}{2(-16)}= \frac{-160}{-32} = 5[/tex]. It will take 5 seconds for the rocket to reach its maximum height. Plugging this back into our formula gives us
[tex]h(5)=-16(5^2)+160(5)+0 \\=-16(25)+800 \\=-400+800=400[/tex]
The rocket's maximum height is 400 feet.
We set our formula equal to zero to find the time it takes to hit the ground, then we factor:
[tex]0=-16t^2+160t+0 \\0=-16t^2+160t \\0=-16t(t-10)[/tex]
Using the zero product property, we know that either -16t =0 or t-10=0. When -16t=0 is at t=0, when the rocket is launched. t-10=0 gives us an answer of t=10, so the rocket reaches the ground again at 10 seconds.
The lengthy of a rectangle is 2 times its width. The area of the rectangle is 72 square inches. Find the dimensions of the rectangle
Answers
l= 2w= length
Area= length * width
substitute l= 2w for the length
72= 2w * w
72= 2w^2
divide both sides by 2
36= w^2
take the square root of both sides
6 inches= w
Substitute to find length:
2w= 2(6)= 12 inches
CHECK:
72= 6 * 12
72= 72
ANSWER:
Width= 6 inches; Length= 12 inches
Hope this helps! :)
The width of the rectangle is 6 inches and the length is 12 inches.
Explanation:To find the dimensions of the rectangle, we can use the fact that the length is 2 times the width. Let's define the width as 'w' inches. According to the problem, the length is 2 times the width, so the length would be '2w' inches. The area of a rectangle is calculated by multiplying the length and the width, so we can set up the equation: 'w * 2w = 72'. Solving this equation, we find that 'w' equals 6 inches. Therefore, the width of the rectangle is 6 inches and the length is 2 times that, which is 12 inches.
Please help me I don’t know which one goes in order
Answers
in the range are the values of y
if you substitute in the values of the domain x=0, x=1, x=3, x=5, x=6 in the function f(x)= y=4-4x you will get the value from the range y=4, y=0, y=-8, y=-16, y=-20
and so on...
Answers:
first f(x)=4-4x
second f(x)=5x-3
third f(x)=-10x
fourth f(x)=(3/x)+1.5
The length of a rectangle is 6 feet longer than its width. If the perimeter of the rectangle is 56 feet, find its length and width.
Answers
12+4x=56
-12 -12
4x=44
÷4 ÷4
x=11
The measure of the width is 11ft
and the measure of the length is:
11+6=17ft
Final answer:
The width is 11 feet and the length is 17 feet.
Explanation:
The question asks us to find the length and width of a rectangle where the length is 6 feet longer than the width and the perimeter is 56 feet. To solve this, let's denote the width of the rectangle as w feet.
Since the length is 6 feet longer, the length will be w + 6 feet.
The formula for the perimeter (P) of a rectangle is P = 2(length + width). We can plug in our expressions for length and width into this formula:
P = 2(w + 6 + w)
Given that the perimeter is 56 feet, we have:
56 = 2(2w + 6)
Dividing both sides by 2, we get:
28 = 2w + 6
Subtract 6 from both sides:
22 = 2w
Divide both sides by 2:
11 = w
Therefore, the width of the rectangle is 11 feet and the length is w + 6 = 11 + 6 = 17 feet.
If the quadratic formula is used to solve 2x(x + 5) = 4, what are the solutions? {-1/2, -9/2}
Answers
x=[-b+√(b²+4c)]/2
2x(x+5)=4
2x²+10x=4
x²+5x=2
x=[-5+√(5²+4*4)]/2
if b=-1/2 and c=-9/2
x= {1/2+√[(1/2)²+4*(-9/2)]}/2
The solutions are:
[tex]x=-5.372\ and\ x=0.372[/tex]
Step-by-step explanation:The equation is given by:
[tex]2x(x+5)=4[/tex]
on using the distributive property of multiplication in the left hand side of the equation we have:
[tex]2x\times x+2x\times 5=4\\\\i.e.\\\\2x^2+10x=4\\\\i.e.\\\\2x^2+10x-4=0\\\\i.e.\\\\2(x^2+5x-2)=0\\\\i.e.\\\\x^2+5x-2=0[/tex]
Now, we know that the solution of the quadratic equation:
[tex]ax^2+bx+c=0[/tex] is given by:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Here we have:
[tex]a=1,\ b=5\ and\ c=-2[/tex]
Hence, the solution is:
[tex]x=\dfrac{-5\pm \sqrt{5^2-4\times 1\times (-2)}}{2\times 1}\\\\i.e.\\\\x=\dfrac{-5\pm \sqrt{25+8}}{2}\\\\i.e.\\\\x=\dfrac{-5\pm \sqrt{33}}{2}\\\\x=\dfrac{-5+\sqrt{33}}{2},\ x=\dfrac{-5-\sqrt{33}}{2}[/tex]
Hence, in decimal for the solution is:
[tex]x=-5.372\ and\ x=0.372[/tex]
What is the area of this circle if the diameter is 4ft
Answers
Answer:
The answer is 12.56636
Step-by-step explanation:
A = πr²
A = area
r = radius
radius is half diameter, so the radius is 2. Plug π (2)² into your calculator and you get 12.56636
If I were you, I would round it to the second decimal place, so 12.57, but it depends on what your teacher wants
write the equation of the line with x-intercept 3 and passing through the point (5,4).
A. y-2=1/2(x-4)
B. y+2=2(x+4)
C. y-2=2(x-4)
D. y-2=1/2(x-4)
Answers
y=kx+b
We substitute coordinates of points
0=3k+b (1)
4=5k+b (2)
We give a system of equations
Solution of this system:
(1) b=-3k
(2) 4=5k-3k
2k=4
k=2
b=-6
y=2x-6
y=2x-8+2
y-2=2(x-4) Answer C
Answer:
C. y-2=2(x-4)
Step-by-step explanation:
the function f(x)=40x-80 models the number of visitors a website received x days after it was created. Which is the most appropriate domain for function?
Answers
The most appropriate domain for the given function is x ≥ 0.
Explanation:The domain of a function represents the set of all possible input values, or x-values, for which the function is defined. In this case, the function f(x) = 40x - 80 represents the number of visitors a website received x days after it was created. Since time cannot be negative and the website exists only after it was created, the most appropriate domain for the function would be x ≥ 0. This ensures that the function is defined for all non-negative values of x, which aligns with the context of the problem.
Help me please
This is the choices for the first one
A)-x^2
B)2x^2
C)(x/2)^2
D)x^2
Second
A)10+x
B)10-x
C)10x
D)7-x
Third
A)3x-10
B)(3x-)/2
C)(3x-10)/2
D)3x/2
Answers
.. You can tell from the point (3, 9) that the only viable choice is selection D.
Center section:
.. When you extend the graph to the y-axis, you see the y-intercept is 10. The slope is negative, so selection B is appropriate.
Right section:
.. The line goes up 3 grid points for each 2 to the right, so the slope is 3/2. In point-slope form the equation of that line can be written as
.. y = (3/2)(x -6) +4 = (3/2)x -9 +4 = (3/2)x -5 = (3x -10)/2 . . . . . selection C
please help i will mark brainliest
Answers
2^6 = 2*2*2*2*2*2
Find an ordered pair (x,y) that satisfies both of the equations below:
2x - 3y = -5
5x - 2y = 4
Answers
Answer:
(2,3)
Step-by-step explanation:
Multiplying the first equation by 5 and the second equation by $-2$ gives
\begin{align*}
10x-15y&=-25,\\
-10x + 4y &=-8.\\
\end{align*}Adding the two equations gives $-11y = -33$, so $y=3$. Substituting $y=3$ in the first original equation gives $2x - 9 = -5$, so $2x = 4$ and $x = 2$. Therefore, the solution is $(x,y) = \boxed{(2,3)}$
.............................................. Nvm
Answers
36. ((sum of given scores) +(missing score))/5 = 98
37. 3 dozen is 1 dozen less than half a dozen times the number of marbles in the bag. How many marbles are in the bag?
38. (Rebecca's earnings last month) + $366 +$2895 = $5278
Answer:
35. Monthly payment = ((total cost) -(initiation fee))/(number of payments)
36. ((sum of given scores) +(missing score))/5 = 98
37. 3 dozen is 1 dozen less than half a dozen times the number of marbles in the bag. How many marbles are in the bag?
38. (Rebecca's earnings last month) + $366 +$2895 = $5278
Step-by-step explanation:
j is 25 more than 3
solve for j
Answers
25+3=28
Therefore J=28
J=28=25 more than 3...
28-25=3
Answer:
25+3=28 - 28=j or j=28
Step-by-step explanation:
just add 25 and 3 and you will get 28.