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.
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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
Can anybody help me please hurry
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Answer:
What do u need help with
Step-by-step explanation:
The actual answer is 144. I have the proof right here:
Answer:
do you need help with anything.?
Step-by-step explanation:
Square ABCD is dilated by a scale factor of 1/3 to create square A’B’C’D’. Which statement is NOT true?
Help please it’s algebra 2
Answer:
Please refer to the attachment
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)
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
Plz help fast will mark the brainiest!!!
Somebody please help!
D
(3x +94)
Kx + 18)
(2x - 4)
B
A
O
The diagram is not drawn to scale.
O
x = 1
-。
Please help ASAP
Answer:
i cant answer this one, its waaaay too confusing for me
Step-by-step explanation:
3×- 5 =16 help please
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
Write "five more than a number" as a math expression help please
Answer:
It is 5 or x>5
Step-by-step explanation:
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?
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).
Someone help me with this question
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
will give brainliest for correct answer ALGEBRA 2
Answer:
Vertical Translation Down 5
Step-by-step explanation:
-5 means its moving down
Hope this helps :)
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 ☑️:☑️
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.
It is now 3:00am. Help I just missed another question!!!!!!
Answer:
math do be hard but stan han seungwoo
Step-by-step explanation:
(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
Answer:
Y= -13/10x+13
Step-by-step explanation:
Answer:
Y= -13/10x+13
Step-by-step explanation:
Need help please. Need the answer now
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
which equation represents a line parallel to the line shown on the graph
Answer:
y=2x+1
Step-by-step explanation:
find the height of the a parallelogram with an area of 63 square yards and base 9 yards
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.
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
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
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?
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.HELP HELP HELP PLSSSSSSS
verry very sorry for this
I need help with this please
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.
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?
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
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
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!
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?
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]
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
Plz help fast will mark the brainiest!!!