What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
х
у
2
2
5
8
7
10
9
11
11
13
O A. y = 1.164x + 0.885
B. y = 0.885x + 1.164
C. y = -0.885x + 1.164
OD. y = - 1.164x + 0.885
Answers
Answer:Y=1.164x+0.885
Step-by-step explanation: check the photo I uploaded to make sure guys
that we actually have same question or not
The correct equation of the line of best fit for the following data is,
⇒ y = 2x - 2
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, 2) and (5, 8).
Now,
Since, The equation for the line is,
y = ax + b
Put x = 2, y = 2
2 = 2a + b .. i)
Put a = 5, y = 8;
8 = 5a + b . (ii)
Subtract (ii) from (i);
3a = 6
a = 2
And, 8 = 5a + b
8 = 5 x 2 + b
8 = 10 + b
b = - 2
Hence, We get;
⇒ y = 2x - 2
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Related Questions
Bethany is 57 inches tall Bethany brother Scott is 2 inches taller than she is what is scoot height in feet
Answers
Answer:
5'9 ft
Step-by-step explanation:
He was built different
A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 45 % and the third contains 90 %. He wants to use all three solutions to obtain a mixture of 50 liters containing 70 % acid, using 2 times as much of the 90 % solution as the 45 % solution. How many liters of each solution should be used?
the chemist should use:
Answers
Answer:
Wyzant
ALGEBRA WORD PROBLEM
Dorian S. asked • 06/28/17
THREE LINEAR EQUATIONS WITH THREE VARIABLES
A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 25%,
and the third contains 70%. He wants to use all three solutions to obtain a mixture of 40 liters containing 45%
acid, using 2 times as much of the 70% solution as the 25% solution. How many liters of each solution should be used?
How to set up as three linear equations to find the answer?
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1 Expert Answer
By:
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Arthur D. answered • 06/28/17
TUTOR 4.9 (67)
Forty Year Educator: Classroom, Summer School, Substitute, Tutor
ABOUT THIS TUTOR ›
set up 2 equations
the first equation...
15%*x+25%*y+70%*2y=45%*40
0.15x+0.25y+1.4y=0.45*40
0.15x+1.65y=18
multiply all terms by 100
15x+165y=1800
divide all terms by 15
x+11y=120
the second equation...
x+y+2y=40
x+3y=40
x=40-3y
substitute into the first equation x+11y=120
40-3y+11y=120
40+8y=120
8y=120-40
8y=80
y=80/8
y=10 liters
x+3*10=40
x+30=40
x=40-30
x=10 liters
10 liters of 15%, 10 liters of 25%, and 20 liters of 70%
check:
10*15%=1.5
10*25%=2.5
20*70%=14
1.5+2.5+14=18
18/40=9/20=45/100=45%
45%*40=18
hope it helps
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A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
Question 1 options:
A)
Can't be determined
B)
Obtuse
C)
Right
D)
Acute
Answers
Answer:
b) obtuse
Step-by-step explanation:
If this is a right triangle the hypotenuse would be
c² = 9² + 12²
c² = 81 + 144
c² = 225
c = √225
c = 15
Since the third side is 17 which is longer than 15
the triangle is obtuse
Answer:
obtuse
Step-by-step explanation:
Which trigonometric function is an odd function and why?
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and therefore cos(x) = cos(-x).
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and
therefore cos(-x) = cos(x)
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(x) = sin(-x).
Answers
Answer:
second choice is the answer or it can be
The correct answer is option B.
What is odd function?"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."
For given question,
Consider points A and B on the coordinate plane as shown in following image.
Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]
So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]
Let, AC = y, BC = -y and OC = m
Now, consider sine function
[tex]sin\theta=\frac{AC}{OA}\\[/tex]
⇒[tex]sin\theta=\frac{y}{r}[/tex] ........................(1)
And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]
⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]
⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex] .......................(2)
⇒ [tex]sin(-\theta)=-sin\theta[/tex] ......................(From (1) and (2))
Now, consider cosine function
[tex]cos\theta=\frac{OC}{OA}[/tex]
⇒ [tex]cos\theta=\frac{m}{r}[/tex] ...........................(3)
And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]
⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex] ...........................(4)
⇒ [tex]cos(-\theta)=cos\theta[/tex] ...........................(From (3), (4))
Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
Therefore, the correct answer is option B.
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PQ is tangent to the circle and m
Answers
Answer:
x = 78°
Step-by-step explanation:
m<P = 12°
Since PQ is tangent to the circle at point Q, therefore m<Q = 90° (tangent theorem)
x + m<P + m<Q = 180° (sum of triangle theorem)
Substitute
x + 12° + 90° = 180°
x + 102° = 180°
Subtract 102° from each side
x = 180° - 102°
x = 78°
Question 7 of 10
What is the surface area of the right cone below?
12
O A. 108units2
O B. 72 units2
O c. 45 units
D. 35 units2
SUBMIT
Answers
Answer:
the answer is c or 45pie Units
Step-by-step explanation:
The surface area of the right cone is,
⇒ SA = 45π units²
What is mean by Multiplication?The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of cone (r) = 3 units
Slant height of cone (l) = 12 units
Now, We know that;
The formula that is used to calculate the surface area of a cone is;
⇒ SA = πrl + πr²
Hence, We can substitute all the values we get;
⇒ SA = πrl + πr²
⇒ SA = π × 3 × 12 + π × (3)²
⇒ SA = 36π + 9π
⇒ SA = 45π units²
Thus, The surface area of the right cone is,
⇒ SA = 45π units²
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Tyler has 240 cards in a collection. Of all of the cards, 1/3 are baseball cards, 1/6 are basketball cards, and 1/4 are football cards. The rest are hockey cards. How many of the cards are hockey cards?
Answers
Answer:
There are 60 hockey cards (1/4 of 240)
Step-by-step explanation:
1/3 of 240 is 80
1/6 of 240 is 40
1/4 of 240 is 60
80+40+60 = 180
240 - 180 = 60
Coach Hutchison is the basketball coach at school . she asks players to record their heights. The histogram shows the data she has collected
What unit of measure is used in the Study?
__________________________________
O A. Inches
O B. Feet
O C. Number of playerd
O D. Number of observations
Answers
Answer:
The unit of measure used in the study is "inches"
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 12 mm. Answer in terms of pi
Answers
Answer:
I don't know what to look for
but area of sphere = 4πr²
4×π×12×12
576πmm³
volume of sphere= 4πr³
3
4/3π12×12
576/3π
= 192πmm³
[tex]tan20+4sin20=\sqrt{3}[/tex]
Answers
tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =
Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =
Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
For each ordered pair, determine whether it is a solution to 2x - 5y=11.
Is it a solution?
(x, y)
(3, -1)
(-7,-5)
(-9,4)
(4,2)
Answers
Answer:
(3, -1)
Step-by-step explanation:
The solution of the equation are (3, -1) and (-7, -5).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have Equation, 2x- 5y= 11.
To check each ordered pair is the solution of equation then we have put the value of x and y one by one in the given equation.
1. x =3 and y= -1
2(3)- 5(-1)
= 6 + 5
= 11
2. x= -7 and y=-5
= 2(-7) - 5(-5)
= -14 + 25
= 11
3. x= -9 and y= 4
= 2(-9)-5(4)
= -18 - 20
= -38
4. x = 4 and y= 2
= 2(4) - 5(2)
= 8 - 10
= -2
Thus, the solution of the equation are (3, -1) and (-7, -5).
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Use the graph that shows the solution to f(x)=g(x).
f(x)=73x−3
g(x)=2x−4
What is the solution to f(x)=g(x)?
Select each correct answer.
−12
0
2
3
Answers
9514 1404 393
Answer:
x = 0, x = 3
Step-by-step explanation:
It appears your equations are intended to be ...
f(x) = (7/3)x -3
g(x) = 2^x -4
These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.
The solutions to f(x) = g(x) are x ∈ {0, 3}.
Y varies inversely with x and when x = 7, y = 15. Find x when y = 21
x=
Answers
Answer:
x = 5
Step-by-step explanation:
Use the inverse variation equation, y = k/x
Plug in 7 as x and 15 as y, then solve for k:
y = k/x
15 = k/7
105 = k
So, the equation is y = 105/x
Find x when y = 21 by plugging in 21 as y:
y = 105/x
21 = 105/x
21x = 105
x = 5
So, when y = 21, x = 5
Work out the value of x
Answers
Step-by-step explanation:
X+3X+90=360
4X+90=360
4X=360-90
4X=270
270÷4=67.5
X=67.5 degrees
Please help I am so confused
Answers
Answer:
24 bottles per minute.
Step-by-step explanation:
We can see from the graph that the machine produced 24 bottles after one minute had passed. it made 48 when two minutes had passed and 72 after 3 minutes had passed. The number of bottles increases by 24 bottles every minute therefore the machine makes 24 bottles per minute.
Refer to matrix A and identify the matrix element a31.
3
–2
–1
7
Answers
===================================================
Explanation:
a31 means "the value in the third row, first column". That value is 7
As another example, a22 = 3 since 3 is in the second row, second column.
Another example: a12 = -1 because we're in the first row and second column.
This is a 3x2 matrix due to it having 3 rows and 2 columns.
Sarah drove 116 miles in 4 hours. If she drove at a constant rate, how far did she travel each hour?
Answers
Answer:
28 because 116÷4=29 so she traveled 28 miles per hour
Answer:
Sarah drove 29 miles per hour.
Step-by-step explanation:
116 divided by 4 is 29.
You are given a line with a slope of -4. What would the slope of a parallel line be?
Answers
The slope of a parallel line will always be the same as the other lines slope.
Help!!
Find the area of the shaded region. Round to the nearest hundredth where
necessary. Show work
Answers
Answer:
look at the picture i have sent
The area of the shaded region is 192.325 m².
What is area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
Outer radius = 21/2 = 10.5 m
Inner radius = 10.5 - 3.5 = 7 m
So, Area of shaded region
= π( R² - r²)
= 3.14 (10.5² - 7²)
= 3.14 (110.25 - 49)
= 192.325 m²
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the following are the heights in centimeters of 15 randomly selected students. Find the mean height of the students.
Answers
Answer: where's the heights?
Step-by-step explanation:
will mark brainliest please help
Answers
Please mark BRAINLIEST!
Answer:
Step-by-step explanation:
2x-3 =-4x+3
6x = 6
x = 1
plug 1 into either eq. to see what "y" you get
2(1) - 3 = -1
so
(1, -1 )
These box plots show the scores of students in three different schools on the same 10-point quiz
Which of the following statements is true?
PLS HELP ME
Answers
Answer:
Step-by-step explanation:
3b+4+10+6b-2
IREADY ANSWERS ONLY PLS
Answers
Explanation: Add the 3b and 6b, Add 10+4 and subtract the 14 by 2
Answer: 9b+12
Step-by-step explanation:
Combine the sets if like terms meaning
4+10-2
And 3b+6b
3b+6b= 9b
4+10-2= 12
Since only one has one variable they aren’t like terms and they can’t be combined leaving u with 9b+12
If a patient smokes 2 packs of cigarettes per day for 20 years how many pack are smoke per year?
Answers
Answer:
730
Step-by-step explanation:
2x365=730
* Will Mark BRAINLIEST * fast plss!! *easy*
I think it might be B or D.
(Pre-Algebra)
(08.02)How many solutions are there for the system of equations shown on the graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answers
Answer:
One Solution (C)
Step-by-step explanation:
This is one solution because they only intersect once. No solution=no intersect 2 solution=intersect twice infinite solutions= same line
Pls help 10 ptsssssssssssss
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Answers
y= x-2
Which statement is not always true?
Answers
How do i write 25.4 million
Answers
Step-by-step explanation:
[tex]25,400,000[/tex]
Answer:
25,400,000
Step-by-step explanation:
Find the volume of each figure. Round your answer to the nearest tenth, if necessary
Answers
Answer:
V = 168 km³
Step-by-step explanation:
We are given a triangle prism.
Volume of a triangle prism = ½*a*c*h
Where,
a = 8 km
c = 6 km
h = 7 km
Substitute
V = ½*8*6*7
V = 4*6*7
V = 168 km³
(-4)x(-6) what is the answer
Answers
Answer:
24
Step-by-step explanation:
( - 4 ) x ( - 6 ) = 24
24 is the answer.