Use technology to find the line of best fit for the following data.
(−7,1), (2,9), (0,7), (−3,5), (−8,−2), (−1,2), (−6,−1), (−5,0), (0,5), (1,7), (−4,2), (3,7)
When the equation of the line is in the form y=mx+b, what is the value of m?
Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5
Answer:
m=0.9
Step-by-step explanation:
The number of pies available for sale at the Pie in the Sky Bakery varies over the course of the day, and given by P(t)=30-2t^2+16t, where t is the number of hours since the store opens in the morning. What is the average rate at which this number changes during the first t hours that the store is open
Answer:
30-2t^2+16t/t
Step-by-step explanation:
Awnser and show your work <3
Answer:
Team A: 25 players
Team B: 24 players
Step-by-step explanation:
Team A:
to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:
[tex]\frac{5}{x} = \frac{1}{5}[/tex]
then we cross multiply to get
x*1 = 5*5
x=25 players
Team B
similarly to Team A
[tex]\frac{3}{x} = \frac{1}{8}[/tex]
cross multiply to get
x*1=3*8
x= 24 players
A rectangular room is 7 times as long as it's wide and it's perimeter is 64metres. Find the dimension of the room.
Answer:
Length = 28 meters Width = 4 metersStep-by-step explanation:
Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.
Perimeter of a rectangle:
= Length + length + Width + Width
Therefore:
7x + 7x + x + x = 64
16x = 64
x = 64/16
x = 4 meters
Length is 7 times as long:
= 4 * 7
= 28 meters
What is the least common multiple of 8 and 18?
A
16
B
36
С
72
D
144
Answer:72
Step-by-step explanation:
Answer: the answer is D
Step-by-step explanation:
A new car cost $28,950. It loses 15% of its value each year. The formula V(t) = 28,950(1-0.15) models this situation. What does V(t) represent?
Answer:
the answer is 67789 because he will have enough money for the car to play
(10a⁵b⁴-15a⁴b⁵+5a³b³)÷(-5a³b³)
Answer:
[tex]\bold{-2a^2b+3ab^2-1}[/tex]Step-by-step explanation:
[tex](10a^5b^4-15a^4b^5+5a^3b^3)\div(-5a^3b^3)=\dfrac{10a^5b^4-15a^4b^5+5a^3b^3}{-5a^3b^3}=\\\\\\=\dfrac{10a^5b^4}{-5a^3b^3}+\dfrac{-15a^4b^5}{-5a^3b^3}+\dfrac{5a^3b^3}{-5a^3b^3}=-2a^2b+3ab^2-1[/tex]
In ΔPQR, what is the m∠Q? Enter your answer in the box.
Answer:
105°
Step-by-step explanation:
11x-5 + 6x+5 + x = 180
18x = 180
x = 10
m∠Q = 11(10)-5 = 110-5 = 105°
Answer:
105.
I hope you have a good day :)
What would be the algebraic rule for a dilation with a scale factor of 3?
Answer: multiply each point by 3. You would need to multiply both the x and y value in the point to find the new dilated point.
Step-by-step explanation:
No link please!! But please help!!
Given:
The radius of the circle X is XY.
Coordinates of X are (0,3) and coordinates of Y are (-3,-1).
To find:
The area of the circle.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The radius of the circle is the distance between the points X(0,3) and Y(-3,-1).
[tex]XY=\sqrt{(-3-0)^2+(-1-3)^2}[/tex]
[tex]XY=\sqrt{(-3)^2+(-4)^2}[/tex]
[tex]XY=\sqrt{9+16}[/tex]
[tex]XY=\sqrt{25}[/tex]
[tex]XY=5[/tex]
The radius of the circle is 5 units.
The area of the circle is:
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Putting [tex]\pi=3.14, r=5[/tex] in the above formula, we get
[tex]A=(3.14)(5)^2[/tex]
[tex]A=(3.14)(25)[/tex]
[tex]A=78.5[/tex]
Therefore, the area of the circle is 78.5 square units.
Which number is the c losest approximation of v39?
o 6.2
o 6.5
o 7.5
o 7.7
Answer:
6.2 would be ur awnser ( mark as best awnser
Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily’s tea?
a.
$108.70
b.
$144.93
c.
$536.77
d.
$715.69
Answer:
d
Step-by-step explanation:
Answer:
its right
Step-by-step explanation:
Simplify:
7x3 + 5x2 – 2 = [?]
X=-1
Answer:
so the answer for your question is -4
The claim that 20% of Americans know their credit score is tested. Suppose that the sample evidence causes us to fail to reject the null hypothesis claim that 20% of Americans know their credit score. State the final conclusion in simple, nontechnical terms.
A. There is sufficient evidence to support the claim that the percentage of Americans who know their credit score is equal to 20%.
B. There is not sufficient evidence to reject the claim that the percentage of Americans who know their credit score is equal to 20%.
C. There is not sufficient evidence to support the claim that the percentage of Americans who know their credit score is not equal to 20%.
D. There is not sufficient evidence to support the claim.
Pls what’s the answer
Answer:
D is correct option.
Step-by-step explanation:
g(x) =-3 root x-1.
Factor 49p – 35q.
Write your answer as a product with a whole number greater than 1.
Answer:
7(7p-5q)
Step-by-step explanation:
49p-35q
7(7p-5q)
Kaden will toss two dice. What is the probability of one die landing on a number less
than 3, and the other landing on a number greater
than 5?
A.1/6
B.1/12
C.1/9
D.1/18
Answer: b
Step-by-step explanation:
Simplify this expression to standard form: -3(2x -4) - 2
Answer:
−6x + 10
Step-by-step explanation:
- (−3) (2x) + (−3) (−4) + −2
- −6x + 12 + −2
- (−6x) + (12 + −2)
= −6x + 10
PLEASE ANSWER EEEEEEEEEEEEEEEEEEE
Answer:
5 x 4 x 3 = 60
Step-by-step explanation:
Do - H x L x W
H is 5
L is 4
W is 3
Anthony invested $1000 in a savings account at 2% simple interest. He invested the money for 4 years.
What is the total amount Anthony will have at 4 years?
Answer:
I dont know
Step-by-step explanation:
I really dont’ sorry
The graph shows the line y= -3x - 6.
Complete the table so it includes two solutions to the equation.
Answer:
0 | -6
____
3 | -15
Step-by-step explanation:
just plug in the numbers they give u in the chart
when x = 0 -> y = -3*0-6 = -6
when y = -15 -> -15 = -3x-6 -> x = 3
The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).
What is an equation of a line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.
x = 0 , y = -3 x 0-6 = -6
y = -15 -> -15 = -3 x-6 -> x = 3
Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).
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The price of Stock A at 9 A.M. was $14.83. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $15.33. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
0.5 hoursStep-by-step explanation:
Let the x be the number of hours after noon.
We have the following equation:
14.83 + 0.12(x + 3) = 15.33 - 0.15x 14.83 + 0.12x + 0.36 = 15.33 - 0.15x0.12x + 0.15x = 15.33 - 15.190.27x = 0.14x = 0.14/0.27x ≈ 0.5find the sine of < I
Answer:
Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem
[tex]5^2+\sqrt{21}^2 = c^2[/tex]
25+21=c^2
46=c^2
c=sqrt46
c=6.78
sin(opposite/hypotnuse)
sin(sqrt21/ sqrt46) =.0117
please help asap!!!!!
Answer:
No
Step-by-step explanation:
if both equations begin with 'y=' then we can set the expressions equal to each other:
-x+1 = -x+5
1 ≠ 5 ∴ there are no solution to this system of equations
Which function has an asymptote at x = 5 and an x-intercept of (6,0)?
OA
f(x) = log(x - 5)
B.
f(x) = log(x + 5)
OC. Ax) = log x-5
OD.
f(x) = log x + 5
Answer:
f(x) = log (x-5)
Step-by-step explanation:
__________
f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
What is a function?A relation is a function if it has only One y-value for each x-value.
we need to find the function which has an asymptote at x = 5 and an x-intercept of (6,0)
An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity.
There are three types of asymptotes: vertical, horizontal and oblique.
The asymptotes are lines, they are written as equations of lines. The vertical asymptotes are x = 5.
f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
Hence, f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
To learn more on Functions click:
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2 - x = x - 8
ayudaaa
porfavor
Answer:
x=5
Step-by-step explanation:
2 - x = x - 8
- x = x - 8 - 2 (subtract 2 from both sides)
- x = x - 10 (combine like terms)
- 2x = - 10 (subtract x from both sides)
x = 5 (divide each side by -2).
Answer:
x = 5
Step-by-step explanation:
2 - x = x - 8
- x + 2 = x - 8
- x + 2 - 2 = x - 8 - 2
- x = x - 10
- x - x = x - x - 10
- 2x = - 10
- 2x ÷ - 2 = - 10 ÷ - 2
x = 5
i really need help!!!
Jason, Lewis, and Nora will be placed in a line along with 7 other people.
What is the probability that they will be next to each other in any order?
Give percentage
Answer:
[tex]Pr = 6.67\%[/tex]
Step-by-step explanation:
Given
[tex]n = 10[/tex] i.e. 10 people
Required
Probability of being next to each other
First, we calculate the total possible arrangements (without any restriction)
[tex]Total = n![/tex]
[tex]Total = 10![/tex]
If the three are to be next to each other,
First, we arrange the three
[tex]r_1 = 3![/tex]
Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)
The arrangement is:
[tex]r_2 =8![/tex]
So, the total arrangement, when they have to be next to one another is:
[tex]r = r_1 * r_2[/tex]
[tex]r = 3! * 8![/tex]
The probability is:
[tex]Pr = \frac{r}{n}[/tex]
[tex]Pr = \frac{3! * 8!}{10!}[/tex]
Expand
[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]
[tex]Pr = \frac{3*2*1}{10*9}[/tex]
[tex]Pr = \frac{6}{90}[/tex]
[tex]Pr = 0.0667[/tex]
Express as percentage
[tex]Pr = 0.0667 * 100\%[/tex]
[tex]Pr = 6.67\%[/tex]
HELP ME OUT GUYS!!! Question is in the screenshot below.
Answer:1658.76 in^2
Step-by-step explanation:
Can someone please help me with math.
Answer:
b
Step-by-step explanation:
These box plots show the number of electoral votes won by Democratic and
Republican presidential candidates for the elections from 1984 through 2012
Republican
159
170
525
Democratic
299
3675
0
50
100
150
400
450
500
550
200 250 300 350
Electoral votes
Which statement best compares the spreads of the data sets?
Answer:
(a) is true
Step-by-step explanation:
Given
See attachment for box plots
Required
Which of the options is true?
Option A compares the IQR of both plots.
IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where
[tex]Q_1 \to[/tex] Lower quartile
[tex]Q_2 \to[/tex] Upper quartile
From the attached plots, we have:
Republican
[tex]Q_1 = 170.5[/tex]
[tex]Q_3 = 356[/tex]
So:
[tex]IQR = 356 - 170.5[/tex]
[tex]IQR = 185.5[/tex]
Democratic
[tex]Q_1 = 181[/tex]
[tex]Q_3 = 367.5[/tex]
So:
[tex]IQR = 367.5 - 181[/tex]
[tex]IQR = 186.5[/tex]
We have:
[tex]IQR = 185.5[/tex] --- Republican
[tex]IQR = 186.5[/tex] --- Democratic
Hence, (a) is true