Answers
Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.
Then the equation is:
y = (-15 ft/min)*x + 205 ft
Step-by-step explanation:
Ok, let's solve this.
We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:
y = a*x + b
Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.
We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)
and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)
Then the slope of this:
a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min
Then our line is something like:
y = (-15ft/min)*x + b
To find the value of b, we can use the fact that when x = 2 min, y = 175 ft
So if we replace these two values in the equation we get:
175ft = (-15 ft/min)*2 min + b
175 ft = -30 ft + b
175 ft + 30 ft = b
(here is your problem, it seems like you subtracted instead of adding in this part)
205 ft = b
Then the equation is:
y = (-15 ft/min)*x + 205 ft
So you are incorrect (but only for a little bit), you computed wrong the y-intercept.
Related Questions
which equation represents a line parallel to the line shown on the graph
Answers
Answer:
y=2x+1
Step-by-step explanation:
It is now 3:00am. Help I just missed another question!!!!!!
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Answer:
math do be hard but stan han seungwoo
Step-by-step explanation:
idiixixixjdjdodjdjdijxdjdjj
Answers
Answer: 41
Step-by-step explanation:
You need to subtract the 82 by the 41 so 82-41 then you would find the missing part. Or you could add 4 to the 4 to make 8 and then add the 1 to the 1 to get 2
Write "five more than a number" as a math expression help please
Answers
Answer:
It is 5 or x>5
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
What do u need help with
Step-by-step explanation:
Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing vertex? ( , ) b. Find the area and perimeter of the rectangle. Area = square units Perimeter = units
Answers
Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
[tex] B_{x} - A_{x} = 7 - 4 = 3 [/tex]
Hence, the distance of point D from point C in the x-direction is:
[tex] D_{x} = C_{x} + 3 = 4 + 3 = 7 [/tex]
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
[tex] C_{y} - A_{y} = 8 - 2 = 6 [/tex]
Then, the distance of point D from point B in the y-direction is:
[tex] D_{y} = B_{y} + 6 = 2 + 6 = 8 [/tex]
Therefore, the coordinates of the missing vertex (point D) are:
[tex] D = (D_{x}, D_{y}) = (7, 8) [/tex]
b) The area of the rectangle is:
[tex] a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2} [/tex]
The perimeter is given by:
[tex] p = 2*(3 + 6) = 18 units [/tex]
I hope it helps you!
look at this equation 3(x+1)=3x=? which number can be placed in the box *the question mark* that would create an equation that has an infinite number of solutions
a.0
b.1
c.2
d.3
Answers
Consider the three functions below.
11
f(x) =
6
11
g(x) =
6
11
111* n(X) =
6
11
11
2
Which statement is true?
Answers
Answer:
I think the answer is C
Step-by-step explanation:
Domain : All real numbers since this is an exponential function.
Range : (-∞,0)
Domain : All real numbers since this is an exponential function.
Range : (0,∞)
Domain : All real numbers since this is an exponential function.
Range : (-∞,0)
So Option C : )The ranges of f(x) and h(x) are different from the range of g(x).
A designer builders a model of a bicycle the finished model is exactly the same as the original but smaller. The scale factor is 2:15 (A) ratio of height ☑️:☑️ (B)surface area ☑️:☑️ (C)volume ☑️:☑️
Answers
Answer:
a) The ratio of height is 2:15
b) The ratio of surface area is 4:225
c) The ratio of volume is 8:3375
Step-by-step explanation:
The scale factor of model to original is 2 :15
Please remember the concept, when scale factor is a:b
Then ratio of sides would be same a:b
The ratio of surface area is [tex]a^{2} :b^{2}[/tex]
The volume is [tex]a^{3} :b^{3}[/tex]
According to the concept,
The ratio of height is 2:15
The ratio of surface area is [tex]2^{2} :15^{2}[/tex] =4:225
The ratio of volume is [tex]2^{3} :15^{3}[/tex] =8 :3375.
Question 1. What is the solution to the following system?
y = -6x
y = 48
1. infinite solutions
2. (-6, -8)
3. (-6, 48)
4. (-8, 48)
Question 2. What is the solution to the following system?
2x + 7y = 3
y= -1
1. (5/7, -1)
2. (-1, 5)
3. (5, -1)
4. (5, -5)
(will give brainliest)
Answers
Answer:
Q1 2. Q2 3.
Step-by-step explanation:
to solve a system of equations, you would usually have to use either elimination or substitution. however, in both of these problems, Y is given directly so that's unnecessary
for these, all you have to do is plug in y and then solve for x, where x is then the first number in the ordered pair and y is the second number.
Q1 48/-6 = -8, so the answer is (-6,-8)
Q2 10/2=5, so the answer is (5, -1)
if you need me to explain the algebra steps in full I will, just let me know
Square ABCD is dilated by a scale factor of 1/3 to create square A’B’C’D’. Which statement is NOT true?
Answers
Somebody please help!
Answers
The volume of a sphere can be determined by the formula V = 4/3 πr^3, where r is the radius. What is the volume of a sphere with radius 3/2x^3y^–2 in terms of x and y?
Answers
Answer:
[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{4}{3}\pi r^3[/tex]
Required
Find V when
[tex]r = \frac{3}{2}x^3y^{-2[/tex]
Substitute [tex]\frac{3}{2}x^3y^{-2[/tex] for r in [tex]V = \frac{4}{3}\pi r^3[/tex]
[tex]V = \frac{4}{3}\pi * (\frac{3}{2}x^3y^{-2})^3[/tex]
Open bracket
[tex]V = \frac{4}{3}\pi * \frac{3}{2}^3 * x^{3*3}y^{-2*3}[/tex]
[tex]V = \frac{4}{3}\pi * \frac{27}{8} * x^{9}y^{-6}[/tex]
Simplify the fractions
[tex]V = \pi * \frac{9}{2} * x^{9}y^{-6}[/tex]
Let
[tex]\pi = \frac{22}{7}[/tex]
So:
[tex]V = \frac{22}{7} * \frac{9}{2} * x^{9}y^{-6}[/tex]
[tex]V = \frac{11}{7} * \frac{9}{1} * x^{9}y^{-6}[/tex]
[tex]V = \frac{99}{7} * x^{9}y^{-6}[/tex]
[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]
The actual answer is 144. I have the proof right here:
Answers
Answer:
do you need help with anything.?
Step-by-step explanation:
Someone help me with this question
Answers
the answer is 7 because thats what photo math told me
Answer:
7
Step-by-step explanation:
(8+56)÷4-3^2
PEMDAS:
(64)÷4-3^2
PEMDAS:
(64)÷4-9
PEMDAS:
(16)-9
7
hope this helps
Need help please. Need the answer now
Answers
Answer:
Step-by-step explanation:
4 because as shown below. An equilateral triangle has 3 lines of symmetry.
Answer:
D
Step-by-step explanation:
The zeros are the values of x on the x- axis where the graph crosses.
The graph crosses the x- axis at x = - 4 and x = - 6
Then x = - 4 and x = - 6 are the 2 zeros → D
HELP ME ASAP BRAINLY :)) How many sides does a polygon have if its total interior angle sum is 4 times its total exterior angle sum?
Answers
Answer:
Step-by-step explanation:
If you are given the interior angle, just subtract that from 180 to get the exterior angle and then use the number of sides = 360 / exterior angle to find the number of sides. it's much easier. the number of sides is equal to 10. the sum of the interior angles is equal to 10 * 144 = 1440 degrees.3×- 5 =16 help please
Answers
Answer:
x = 7
Step-by-step explanation:
Given
3x - 5 = 16 ( add 5 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Explanation:
(you need to get x by its self)
Step 1- add the (-5) over to the 16
Because to get rid of a negative or minus sign you need to do the opposite which is addition.
You’ll get: 3x=21
Step 2- divide the 3 off from 21
Because the ‘3x’ is acting as multiplication, and the opposite of multiplication is division
You’ll get: X=21/3
Which is X=7
Edwin is making brownies. He has m cups of flour. He realized that he needs 3 more flour
than he currently has to make the brownies. Which expression represents the total amount
of flour he needs to make the brownies?
Answers
Answer:
m+3=amount of cups he needs to make brownies
Step-by-step explanation:
If he has m amount of cups and he needs 3 more to make the brownies, If you just add 3 to m amount it should be the right answer
Sorry if im wrong
(06.04 MC)
A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 13 and 1, 11.5 and 1.5, 10.9 and 2, 10 and 3, 9 and 4, 8.5 and 5, 7 and 6, 5 and 7, 4 and 8, 3 and 9, 1, 9.8, 0.3 are shown on the graph. A straight line joins the ordered pairs 0, 13 and 10, 0.
What is the approximate equation of this line of best fit in slope-intercept form?
y = −13x + 13 over 10
y = negative 13 over 10x + 13
y = negative 10 over 13x + 13
y = −13x + 10 over 13
Answers
Answer:
Y= -13/10x+13
Step-by-step explanation:
Answer:
Y= -13/10x+13
Step-by-step explanation:
Which graph is the graph of this function?
f(x)= 5 if -3
if -2<=x<3 1/2
if 3<=x<=4
A. graph A
B. graph B
C. graph C
D. graph D
Answers
Answer:
Graph A
Step-by-step explanation:
A = y = 1.5 x = -2\<x,< 3
B = y = 0.2 x = -2<x < 2
C = y = -1.2 x = -2< x\< 3
D = y = 1.2 x = - 2< x < 2
find the height of the a parallelogram with an area of 63 square yards and base 9 yards
Answers
Answer:
7
Step-by-step explanation:
The formula for the area of a parallelogram is the same formula to get the area of a rectangle. In a rectangle, the height is the area divided by base. Therefore, the height of the parallelogram would simply be the area divided by base.
I need help with this please
Answers
Answer:
5.5
Step-by-step explanation:
It asks for just the Stevens family, so the first sentence is a trick.
Take $49.50 and divide it by $9 an hour. You will end up with 5.5 hours.
HELP HELP HELP PLSSSSSSS
Answers
verry very sorry for this
Help please it’s algebra 2
Answers
Answer:
Please refer to the attachment
Can anybody help me please hurry
Answers
Plz help fast will mark the brainiest!!!
Answers
I know it looks like a lot. Hopefully it’s the right answer
Plz help fast will mark the brainiest!!!
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D
(3x +94)
Kx + 18)
(2x - 4)
B
A
O
The diagram is not drawn to scale.
O
x = 1
-。
Please help ASAP
Answers
Answer:
i cant answer this one, its waaaay too confusing for me
Step-by-step explanation:
will give brainliest for correct answer ALGEBRA 2
Answers
Answer:
Vertical Translation Down 5
Step-by-step explanation:
-5 means its moving down
Hope this helps :)