Based on your equation, what was the car’s approximate initial velocity (at time=0)?
Answers
From the intercept of the line of best-fit, the car’s approximate initial velocity was of 5.7 m/s.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.
For this problem, the input and the output are defined as follows:
Input: Time in seconds.Output: Velocity in m/s.Hence the points are given by:
(2, 13.1), (4, 19.8), (6, 28.1), (8, 34.6).
Using these points and a calculator, the equation is:
v = 3.64s + 5.7
The intercept of 5.7 represents the initial velocity in m/s.
A similar problem, also involving a line of best-fit, is given at https://brainly.com/question/22992800
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Related Questions
The sum of two numbers is twenty-four. The difference of the two numbers is four.
Answers
Answer:
[tex]x + y = 24[/tex]
[tex]x - y = 4[/tex]
Now, add these two equations.
You get,
[tex]2x = 28[/tex]
[tex]x = \frac{28}{2} [/tex]
[tex]x = 14[/tex]
Given,
[tex]x + y = 24[/tex]
[tex]14 + y = 24[/tex]
[tex]y = 24 - 14[/tex]
[tex]y = 10[/tex]
You can test this to the other equation as well.
[tex]x - y = 4[/tex]
[tex]14 - 10 = 4[/tex]
Hence, the two numbers are 14 and 10.
Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.
Answers
Answer:
16
Step-by-step explanation:
it doubles every time 2,4,8. 16
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answers
unit rate = 45
so $45 per person
85 guests x 45 = 3825
I hope this helps!
5x -4(x - 3) - 8 = Ax + B
Answers
Answer:
12= ax - x + b
Step-by-step explanation:
5x -4(x - 3) - 8 = ax + b
5x -4x + 12 - 8 = ax + b
x + 12 = ax + b
12= ax - x + b
Your friend is absent from class and asks you to explain what a function is how would you explain
Answers
Answer: A function is the equation used to solve a variable, usually uses X and Y.
i.e. Y = 23x -9
Passes through (-4,6) and (2,7)
Answers
Answer:
13/6
Step-by-step explanation:
Answer: 1/6
Step-by-step explanation:
There is a slope formula for this.
(x1,y1)= (-4,6)
(x2,y2)= (2,7)
Plug it into the formula:
[tex]\frac{7-6}{2-(-4)}= \frac{1}{6}[/tex]
The slope is 1/6. It doesn't matter which set of coordinates you use for x1, y1.
Write an equation of the line that passes through (0,4) and (0,-3).
Answers
Answer:
It is a vertical line at x = 0
Step-by-step explanation:
An equation of a line in a slope-intercept form is y=mx+b
So with the coordinates given, we must find the slope (m), and the y-intercept (b).
In order to find the slope using these coordinates,
we have to use the formula (y2-y1)/(x2-x2).
So the slope would be -3 - 4 / 0.
Because the denominator is 0, the slope would be undefined.
It is easier to see the equation/graph by graphing the coordinates on the coordinate plane. You will see that it is a straight vertical line down x=0.
Hello there! :)
We can use the formula:
[tex]\frac{y2-y1}{x2-x1} \\[/tex]
First, let's take a look at the x-coordinates. They are the same, aren't they?
If the x-coordinates are the same, then the slope is undefined.
Put the x-coordinates into the formula. It turns out that we divide by 0, and division by 0 is undefined.
Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature[/tex]
Which among the following is the solution to
4x -10 < 14
the equation
Select the correct response:
a. x<5
b. X>6
c. X<6
d. x>5
Answers
Answer:
4x - 10< 14
4x < 14 + 10
4x < 24
x < 6
from the answer c is the correct option.
Answer fast please!!!!
Answers
Answer:
6z + 9
Step-by-step explanation:
distribute 3/4 by 8z to get 6z
distribute 3/4 by 12 to get 9
Verify that the function [tex]g(x)=2x^3-3x+1[/tex] satisfies the three hypotheses of Rolle’s Theorem on the interval [tex][0,2][/tex].
Answers
Answer:
the funtion does not satisfies the hypothese f(a)=f(b), just because when evaluate f(0) = 1 and when evaluate f(2) = 11,
A 2-column table with 9 rows titled December Temperatures. Column 1 is labeled Day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9. Column 2 is labeled Temperature (degrees Fahrenheit) with entries 33, 34, 42, 36, 39, 36, 39, 40, 44.
What is the interquartile range for the data set?
The answer is 6
Answers
Answer:
Step-by-step explanation:
I really need points but good luck with your question
what is the product of -3 and +50
Answers
Answer:
the product of -3 and +50 is -150
(-3)×+(50)=-150
Answer:
-150Step-by-step explanation:
-3 × 50 =
-150
At a farm the ratio of cows to horses was 8 : 3. If there were 24 cows at the farm, how many horses were there?
Answers
Since there are 24 cows we can do 24/8 and get 3. Then multiply the amount of horses by 3.
3(3) = 9.
Therefore there would be 9 horses.
which number line correctly shows .8 + .3
Answers
Answer:
The second line.
Step-by-step explanation:
The line starts off at 0 and goes up to 0.8.
As you can see it goes up .3 more.
.8 + .3 = 1.1
just as 8 + 3 = 11 but with decimals.
which rule explains why these triangles are congruent?
SAS
SSS
AAS
ASA
These triangles cannot be
proven congruent.
Answers
1. Given (11,7) and (x,−5), find all x such that the distance between these two points is 13. Separate multiple answers with a comma.
2. Find the standard form of the equation for the circle with the following properties.
Center (8,−7/3) and tangent to the y-axis
Answers
9514 1404 393
Answer:
1. x = {6, 16}
2. (x -8)² +(y +7/3)² = 64
Step-by-step explanation:
1. The distance formula is useful for this.
d² = (x2 -x1)² +(y2 -y1)²
13² = (x -11)² +(-5 -7)² . . . . . . . . fill in the given point coordinates
169 -144 = (x -11)² = 25 . . . . . . subtract 144
x -11 = ±5 . . . . . . . . . . . . . . . . . take the square root
x = 11 ±5 = {6, 16} . . . . . . . . . . add 11
The values of x that make the points 13 units apart are 6, 16.
__
2. The standard form equation of a circle is ...
(x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r
In order for the circle to be tangent to the y-axis, the radius must be equal to the distance the center is from the y-axis: the x-coordinate of the center point. That is, r = 8.
(x -8)² +(y +7/3)² = 64
Which equation represents a proportional relationship?
A) y=5
B) x=3
C) y=2x+3
D) y=1/4x
Answers
Answer:
c! I had the same one in my class I'm pretty sure I was right
(can you make me brainleist I need to level up)
Help with question thanks
Answers
Step-by-step explanation:
horizontal asymptote y=0
the graph is in the image above
range[-1, infinity)
domain(-infinity, infinity)
Please help!! 30 POINTS
Show your work
NO RANDOM LINKS
Answers
Explanation:
1) x^3-5x^2+7x-12/x-4
2) x^3-4x-x^2+4x+3x-12/x-4
3) x^2x(x-4)-x*(x-4)+3(x-4)/x-4
4) x^2-x*3 because x-4 cancels each other out
9514 1404 393
Answer:
x^2 -x +3
Step-by-step explanation:
The long division is shown in the attachment, along with details of how the quotient terms are found.
[tex]\dfrac{x^3-5x^2+7x-12}{x-4}=\boxed{x^2-x+3}[/tex]
Question 18
Calculate the mean 12, 2, 9,
12, 10
Answers
Answer:
Mean = 9
Step-by-step explanation:
The mean is the average of a data set. Given the values, 2, 9, 10, 12, 12:
Add all the numbers in the data set, and divide its sum by the number of items in the set:
Mean = [tex]\frac{2+9+10+12+12}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9
Therefore, the mean of the given data set is 9.
Find y' when y = (1/x) + tanx
Answers
Answer:
[tex]( - 1 \div x^{2} ) + sec ^{2} [/tex]
the measure of the first angle is 40 degrees less than the measure of the second? need explanation. HELP
Answers
I'm going to be there in a few minutes and then I'll be back to work tomorrow morning if you want to come over and take it easy tomorrow morning if you want to go to the store and get some of the stuff you can do for me and I'll get it done and I'll be there in a bit and then I'll get
p=(m+n)/-5 solve for n
Answers
n= -5p - m
dis is 20 characterrs now
What is the domain of the graph
Answers
Answer:
it D
Step-by-step explanation:
There are 133 students at a small school and 23 of them are freshmen. What fraction of the students are freshmen?
Answers
Answer:
23/133
Step-by-step explanation:
If your total is 133, that would become your denominator, your numerator is how many students of those are freshman in which this case is 23.
The total number of freshmen in the school is 23/133
The number of students in the small school is 133
23 out of the 133 students are freshmen
Therefore the fraction of freshmen in the school can be calculated by dividing 23 by 133
Fraction of freshmen is 23/133
For more information on fractions please see the link below
https://brainly.com/question/1786030?referrer=searchResults
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30 POINTS easy question
Find the measure of the exterior angle
The measure of the exterior angle of the triangle is
angle of the triangle is
º.
Answers
Answer:
9
Step-by-step explanation:
The exterior angle is equal to the sum of the 2 opposite interior angles, therefore:
9x + 9 = 45 × 5x
4x = 36
x = 9
9x +9 = 45+5x
4x = 36
x =9
A square has a side length of 4 centimeters. What is the length of the diagonal of the square? What is the length from the corner to the center of the square?
Answers
Answer:
4[tex]\sqrt{2}[/tex] cm AND 2[tex]\sqrt{2}[/tex] cm
Step-by-step explanation:
The length of a diagonal of a square means finding the hypotenuse (long side) of a right triangle with legs of the length of the side of the square. This means you can use a^2 + b^2 = c^2 to solve for the diagonal. Plugging in your values gets you 4^2 + 4^2 = c^2, simplify to get 16 + 16 = c^2, simplify further to get 32 = c^2. Isolate c by taking the square root of both sides to get [tex]\sqrt{32}[/tex] = c, which you can simplify by listing out the factors of 32 and finding pairs. 32 = 2 * 2 * 2 * 2 *2 (5 of them), meaning its square root is 4[tex]\sqrt{2}[/tex], which is the length of the diagonal. Don't forget your units! (:
For the second part, remember that the distance between the corner to the center of a square is half the diagonal of the square. You already have the length of that diagonal, so all you have to do is divide it by 2. Do so and you get 2[tex]\sqrt{2}[/tex]. Once again, don't forget your units! (:
If you're required to give decimal estimates, then pop those final answers into a calculator and round to the specified number of decimal places. No one will ask you to calculate irrational square roots, or at least no one should.
Graphing linear equations and inequalities 3Y minus 2X equals nine
Answers
Answer:
The answer in the pictures
Solve for the variable
g+3.42=7.98
g = ?
Answers
Answer:
g=4.56
Step-by-step explanation:
g+3.42=7.98
Subtract 3.42 from each side
g+3.42-3.42=7.98-3.42
g=4.56
Answer:
4.56
Step-by-step explanation:
30 miles in 4 hours in simplest form
Answers
Answer:
15/2
Step-by-step explanation:
30/4=7.5convert the decimal to a fraction7.5 would give you 15/2 in fraction formsince you can't simplify 15/2 anymore, 15/2 would be your answer.