Answer:
7
Step-by-step explanation:
2c/2 = 14/2
c = 7
Stephen gathered data about the average rainfall in two cities. He organized his data in the given graph.
Average Rainfall
5
City A
ul.
City B
0
Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec
Month
Click on all the true statements about the data.
A. The range of the data for City B is higher than City A.
B. The range of the data for City A is higher than City B.
O C. The median of the data for City B is higher than City A.
UD. The range of the data is the same for both City A and City B.
E. The median of the data is the same for both City A and City B.
Answer: B.The range Is Higher for city A than City B
E. The median is the same for city A and City B
According to the calculations, the correct statements are B and C.
Given that Stephen gathered data about the average rainfall in two cities, and he organized his data in the graph, to determine which statements are correct, the graph must be analyzed and the following mathematical reasoning must be carried out:
The average rainfalls of City A range from 0.5 to 4.5 per month, with a variable range of 4 points. In turn, the average rainfalls of City B range from 1 to 4 per month, with a variability range of 3 points. Therefore, the range of the data for City A is higher than City B, so option B is correct, and options A and D are incorrect.
Regarding the median rainfalls, City A has a cumulative total of 27 points over 12 months, that is, an average of 2.25 per month. In turn, City B has a cumulative total of 28.5 points over 12 months, that is, an average of 2,375 per month. Therefore, the mean of City B is higher, so option C is correct.
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please show work
Write the point-slope form of the equation of the line through the given points.
3) through: (4,5) and (0,2)
Answer:
y - 5 = 3/4 (x - 4) so A
Step-by-step explanation:
It's would be A because the original equation is Y - Y1 = m (X - X1)
Since a coordinate is (x, y) the Y1 = 5 and the X1 = 4
If you plug those in the equation, it will give you y - 5 = m(x - 4)
Now, to figure out the slope, you have to know how you get can to the points (4, 5) from (0, 2). Slope is change in y / change in x. so to get from 0 to 4 for x, you add 4, and 2 to 5 for y, you add 3. Meaning the slope is 3/4. The m in the equation is the slope, so if you plugin the slope, the equation would be
y - 5 = 3/4 (x - 4)
The heights of two elevators can be modeled by linear functions. At time t = 0. Elevator A is 16 feet above ground floor.
It descends at a rate of 4 feet per minute. The height of Elevator B is shown in the graph.
Which of the following statements are true? Select all that are true.
Answer:
Option B: Elevator A descends at a faster rate than elevator B
Option C: Elevator A will reach the ground first
Step-by-step explanation:
Elevator A: -4x+16
Elevator B: -3x +16
Option B: Elevator A descends at a faster rate than elevator B
Option C: Elevator A will reach the ground first
The calculation is as follows:
For Elevator A: -4x+16
And,
Elevator B: -3x +16
Therefore the above statements are true.
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in the sequence 11, 13,15,17 the first term is and the 4th term is ?
PLS HELP
Answer:
Isnt the
Step-by-step explanation:
Isnt the first term 11
And the 4th 17 lol
Rewrite 7/2+ 14/25 as a single decimal.
Answer:
4.06
Step-by-step explanation:
7/2+14/25 Change into decimals
3.5+0.56 Add together
=4.06
Why do -8 and 8 have the same absolute values?
Answer:
Absolute value means the non-negative, or the positive, of it's number, since eight is already a positive number, it's absolute value remains positive eight.
But since -8 is a negative number, the absolue value will give eight it's non-negative, which is positive eight.
can any one help me pls I'm not good at math:(
the graph of a function is shown on the grid
Answer:
D is the correct answer
Step-by-step explanation:
The coordinates of the x axis is always listed first.
On the x axis the line was less than one and more than zero leaving the fraction as the only option.
hope it helps
have a great day
:)
i neeed thiss pleaseeeeeee!!!!!!
Susie is solving the quadratic
Answer:
Option (D)
Step-by-step explanation:
Standard equation of a quadratic function is,
ax² + bx + c
Comparing this function with the given quadratic function,
f(x) = 2x² - 4x - 3
a = 2, b = -4 and c = -3
By using quadratic formula to get the value of x,
x = [tex]\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
= [tex]\frac{-(-4)\pm \sqrt{(-4)^2-4(2)(-3)} }{2(2)}[/tex]
= [tex]\frac{4\pm\sqrt{16+24}}{4}[/tex]
= [tex]\frac{-4\pm \sqrt{40}}{4}[/tex]
= [tex]\frac{-2\pm \sqrt{10}}{2}[/tex]
Therefore, Susie made a mistake in step IV.
Option (D) is the answer.
code.
-3x + 4y = -8
8x - y = 16
Solving systems by substitution
Answer:
The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].
Step-by-step explanation:
We are given a system of equations:
[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]
We need to solve these by substitution, so we need to solve one equation for a variable and then substitute the value of that variable into the other equation. After doing this and solving for the opposite variable, we need to insert this into the original equation and solve for the initial variable.Therefore, to solve one of the equations, we will solve it to put it in slope-intercept form and solve for y. The easier equation to work with is equation two.[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]
Now, we've solved for y. So, we can substitute this into either equation and solve for x.
[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]
Now, we substitute our value for x into one of the original equations and solve for y.
[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]
Therefore, the solution to our system of equations is:
[tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex]plz, answer the question in the photo.
Answer:
I'm pretty sure its 1 1/8
Step-by-step explanation:
2x - 2y = 6 3x + 2y = 9 Solve the system of equations. A) x = 0, y = 3 B) x = 3, y = 0 C) x = 1, y = -2 D) x = -2, y = 1 E) x = 6, y = 3
There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.
[tex]2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\[/tex]
Now we will solve for y using what we got for x.
[tex]2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0[/tex]
Solution:
A: [tex](0, 3)[/tex]
Look at the rectangle and the square
Ada says that the length of diagonal SQ is two times the length of diagonal OM.
Is Ada correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals
Answer:
NO. Ada is not correct.
Step-by-step explanation:
Using Pythagorean Theorem, find the length of the diagonal of the rectangle and the square, respectively.
✔️Diagonal of the Rectangle:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 8 in.
b = 16 in.
c = hypotenuse (longest side of a right ∆)
Plug in the values into the equation
[tex] 8^2 + 16^2 = c^2 [/tex]
[tex] 64 + 256 = c^2 [/tex]
[tex] 320 = c^2 [/tex]
Take the square root of both sides
[tex] \sqrt{320} = \sqrt{c^2} [/tex]
[tex] 17.9 = c^2 [/tex] (nearest tenth)
Length of diagonal SQ = 17.9 in
✔️Diagonal of the Rectangle:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 8 in.
b = 8 in.
c = hypotenuse (longest side of a right ∆)
Plug in the values into the equation
[tex] 8^2 + 8^2 = c^2 [/tex]
[tex] 64 + 64 = c^2 [/tex]
[tex] 128 = c^2 [/tex]
Take the square root of both sides
[tex] \sqrt{128} = \sqrt{c^2} [/tex]
[tex] 11.3 = c^2 [/tex] (nearest tenth)
Length of diagonal OM = 11.3 in.
SQ is not two times the length of OM.
Therefore, Ada is not correct.
Answer:
No Ada is not correct
Step-by-Step Explanation:
The length of diagonal SQ is not two times the length of diagonal OM. When you split the rectangle using the diagonal you can make a right triangle and use the Pythagorean Theorem to the rest of it.
This would be the Rectangle:
a^2+b^2=c^2
8^2+16^2=c^2
64+256+c^2
320=c^2
√320
17.8
This would be the Square:
a^2+b^2=c^2
8^2+8^2=c^2
64+64=c^2
128=c^2
√128
11.3
Now when I divide these answers that I came up with I get 1.7 which is not equal to 2 therefore SQ is not two times bigger than OM.
I hope this helped :3
Kaylee put $240.00 in a bank account that gains 25%
interest annually.
How much interest will be accumulated in a year?
S???
If Kaylee makes no withdrawals, how much money will be
in the account after a year?
$???
Answer:
S=720
Step-by-step explanation:
25$ of 240 =60
60×12months=720
In the diagram, line l and line m are parallel,. Identify the relationship between the angles in the diagram.
∠3and∠5
A
Complementray Angles
B
Vertical Angles
C
Corresponding Angles
D
Supplementary Angles
Answer:
I completed my angel is a line what's the angels has to be alive but B is not an angel cuz it's her Reddit Iran has to be the right has not as Justin Bieber allusions in the Seas Angel against a little angel has to be a line but you got to put it up one line up so that's how you can do it $8 and a symbol
Step-by-step explanation:
i hope it work
[tex]\frac{x-c}{2} =d, for ( x)[/tex]
SHow your work!
Help please!! and actually try to solve it this is a test and I wanna do good
Answer:
After doing the math, I came up with B and/or C could be the answer
find the measures of 1 and 4 if 2 = 119 and = 61
Answer:
1 = 61
4 = 119
Step-by-step explanation:
Alternate angles
Answer:
1 = 61 and 4=119
Step-by-step explanation:
If 2=119 then the other side of the angle which is 1 has to equal the sum of 180-119
if you reflected 2 across the x and y axis or in other words swapped places with the angel diagonal from it, this should answer the same thing as 2 hence why 2 equals 4 equals 119
3 would equal 1 which equals 61 as they both make 180 when paired with the angle directly next to it
What is an equation of the line that passes through the points (0, 3) and (5,−3)?
Answer:
y = -6/5x + 3
Step-by-step explanation:
y = mx + c (or b, depending on where you're from)
Slope = m = -6/5
y = -6/5x + c
You can sub (0, 3) and (5, -3) into y = -6/5x + c and they both have the same answer where c = 3
Therefore, the equation is y = -6/5x + 3
Hop this helps
I need help asap pleaseeee
Answer: B,C
Step-by-step explanation:
Elevator A: -4x+16
Elevator B: -3x +16
YALL HELP PLEASE THANK U
Answer:
I am not getting this question
Step-by-step explanation:
Given Vertex (5,4) and focus (8,4)
It can be easily noticed that focus and vertex lie on the same horizontal line y = 4
Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.
(y−k)^2=4a(x−h)
a=8-5=3 as y coordinates are the same.
Since the focus lies to the left of vertex, a = 3
(y−4)^2=4⋅3⋅(x−5)
(y−4)^2=12(x−5)
is the equation of the parabola.
the sum of renting bowling shoes for $6 and $3 per game
Answer:
9
Step-by-step explanation: 6+3=9
The rent is $9
a=zm+z solve for m please help!!!!!
Answer:
(a-z)/z = m
Step-by-step explanation:
a = zm+z
Subtract z from each side
a-z = mz+z-z
a-z = mz
Divide by z
(a-z) /z = mz/z
(a-z)/z = m
Which of the following is not a function?
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 2, 3. Column 2 is labeled y with entries 3, 4, 5, 9.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}
Answer:
A on edge. -
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}
Step-by-step explanation:
got it right
Answer:
it is A on edge the guy before me is wrong
Step-by-step explanation:
what is the value of x in the triangle 50° and 55° in the bottom with x at the top 50 on the left 55 on the right
So, we know that the internal angles of a triangle add up to 180 degrees, yes?
60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.
Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!
Hope I helped!! :)
Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?
Answer:
85 in intreset and 935 totoal
Step-by-step explanation:
Answer:
A = $935.00
I = A - P = $85.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 850(1 + (0.05 × 2)) = 935
A = $935.00
The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.
Answer:
85
Step-by-step explanation:
The graph shows the cost of buying tickets to a concert.
What is the cost of buying 10 tickets?
PLS HELP ME 80 - 4^2 ÷ 8
Answer:
I think it's 79
Step-by-step explanation:
.... Hi don't be mad if you get wrong
Answer:
80 - 16 ÷ 8 80 - 2= 78
Step-by-step explanation:
What is the slope of the line represented by the equation y = 4/5x - 3
Answer:
the slope 4/5x and the y intercept is -3
Step-by-step explanation:
Are the two given triangles similar? Show your work to support your answer.
Helpppp please
