Answer:
[tex]y = 10x[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]
We have:
[tex](x_1,y_1) = (8,80)[/tex]
[tex](x_2,y_2) = (2,20)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{20 - 80}{2- 8}[/tex]
[tex]m = \frac{-60}{-6}[/tex]
[tex]m = 10[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 10(x - 8) + 80[/tex]
Expand
[tex]y = 10x - 80 + 80[/tex]
[tex]y = 10x[/tex]
what is 18cm in a scale 1:50?
Answer:
900 cm
Step-by-step explanation:
Proportions
1cm ⇒ 50cm
18cm ⇒ Wcm
W = 18*50/1
W = 900cm
Bethany is 57 inches tall Bethany brother Scott is 2 inches taller than she is what is scoot height in feet
Answer:
5'9 ft
Step-by-step explanation:
He was built different
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
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
I need help with this
Answer:
si tu multiplicas 90° entre 1 te puede dar 50(2)
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).
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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WILL GIVE BRAINLIEST!! 50 POINTS!!
factor: 5(p-1)-(p-1)^2
Answer:
-(p-1) (p-6
Step-by-step explanation:
I hope this helps,good luck with everything.
Y varies inversely with x and when x = 7, y = 15. Find x when y = 21
x=
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
Find the measure of the angle indicated (X). Round to the nearest tenth. Show your work to support your answer. C 13 4 0 A B
Step-by-step explanation:
solution given.
relationship between perpendicular and base is given by tan angle
tan ø=perpendicular/base
ø=tan-¹(4/13)=17.10272897=17° is your answer
Which statement is not always true?
Find the volume of each figure. Round your answer to the nearest tenth, if necessary
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
Gina's Hours
October November
Week 1 40 32
Week 2 34 30
Week 3
36
40
Week 4
40
24
The table shows the hours Gina worked during October and November. Select ALL correct statements,
A)
The range for the month of October is 6.
B)
40 summarizes the data with a single number
35 summarizes the data with a single number
D)
The median for the month of October is 40.
E
16 describes how the values vary with a single number
Help plz
Answer:
A) The range for the month of October is 6.
C) 35 summarizes the data with a single number.
E) 16 describes how the values vary with a single number.
Step-by-step explanation:
Week 1 | 40 Week 1 | 32
Week 2 | 34 Week 2 | 30
Week 3 | 36 Week 3 | 40
Week 4 | 40 Week 4 | 24
The ordered data can be written out as follows :
October :
34, 36, 40, 40
November :
24, 30, 32, 40
Whole data:
24, 30, 32, 34, 36, 40, 40, 40
Range = maximum - minimum :
October range = 40 - 34 = 6
Summarizing the fat with a single number :
Take the median of the whole data :
1/2(n+1)th term
1/2(9) = 4.5 th term
(34 + 36) /2 = 35
Median for October :
(36 + 40) / 2 = 38
Variation of all values :
Take the range :
40 - 24 = 16
Work out the value of x
Step-by-step explanation:
X+3X+90=360
4X+90=360
4X=360-90
4X=270
270÷4=67.5
X=67.5 degrees
You are given a line with a slope of -4. What would the slope of a parallel line be?
If C = 1+ 5n - 6n² and B = n + 4n^2,find an expression that equals 2C – 3B
in standard form.
Step-by-step explanation:
2C – 3B = 2(1+5n-6n²)-3(n+4n²)
= 2+10n-12n²-3n-12n²
= 2 +7n -24n²
The expression (2C-3B) equals to (-24x²+7x+2)
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given are two expression, C = 1+5n-6n² and B = n+4n²
2C = 2+10n-12n²
3B = 3n+12n²
2C-3B = 2+10n-12n² - 3n-12n²
= -24n²+7n+2
Hence, The expression (2C-3B) equals to (-24x²+7x+2)
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Find the area of the polygon. 26ft. 16ft. 6ft. 2ft. 4ft.
Answer:
296 ft²
Step-by-step explanation: 5 18 7 20
There are a few ways to calculate the area of the tihis composit figure.
The one way is to calculate the entire area of the big rectangle with the voided area and substract the smaller voided rectangle
Big rectangle with voided area
26 × 16 = 26 × 10 + 26 × 6 = 260 + 156 = 416
Small Void Rectangle = 6 × (26 - 2 - 4)
= 6 × 20
= 120
Total area = Big rectangle with voided area - Small Void Rectangle
= 416 - 120
= 296 ft²
another way is to add up three areas
large filled rectangle + smaller filled rectangle + smallest filled rectangle
10 × 26 + 4 × 6 + 2 × 6
260 + 24 + 12
296 ft²
I need help will give out Brainlyest
Answer:
[tex] \frac{6}{6 - 2} = \frac{6}{4} = \frac{3}{2} [/tex]
Answer:
[tex] \rm \rightharpoonup \: f(x) = \frac{x}{x - 2} \\ \rm \rightharpoonup \: f(6) = \frac{6}{6 - 2} \\ \rm \rightharpoonup \: \frac{6}{4} \\ \rm \rightharpoonup \: \frac{3}{2} [/tex]
Hence option A is correctWhat is the arc measure of major arc ADE in degrees?
(-4)x(-6) what is the answer
Answer:
24
Step-by-step explanation:
( - 4 ) x ( - 6 ) = 24
24 is the answer.
ILL GIVE BRAINLEST:))
Answer:
2 and 3
Step-by-step explanation:
2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
side ratio: 1/4------- area ratio: 1²/4² = 1/16 = 1:16 ratio
3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
The ratio of the perimeters is the same as the scale factor.
scale 1:4
The scatterplot shows because the values of y as the values of x increase.
Answer: The scatterplot shows a positive correlation because the values of y increase as the values of x increase.
Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5
Answer:
The scatterplot shows a positive correlation because the values of y increase as the values of x increase.
Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5
Step-by-step explanation:
I hope that helps!!!!!!!!!!
Which statement correctly explains whether Limit of h (x) as x approaches 9 exists?
Answer:
The answer is A
Step-by-step explanation:
"The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9" is correct edg 2021
The correct statement is "The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9".
What is a one-sided limit for function of a single variable?In rough terminologies, the limit from one side is when we only use one side of the function with respect to the considered point of interest (in input) to predict the value of the function at that point.
For a limit of a function f(x) to exist at a point a,
[tex]\lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x)[/tex]
That is, it has to approach (a) from both sides toward the same value, thus it cannot be oscillating.
From the table, looking at the value of slightly less than 9,
[tex]\lim_{x \to 9^-} f(x)= 4.73[/tex]
Looking at the value of slightly more than 9,
[tex]\lim_{x \to 9^+} f(x) = -4.73[/tex]
Since the lateral limits are different, the limit does not exist.
The correct statement is "The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9".
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please help!!! im really confused abt this
The picture demonstrates the greenhouse effect because all the grass within the rectangle is green. This is due to the fact that it received the nutrients it required. Carbon dioxide molecules provide the initial greenhouse heating needed to maintain water vapor concentrations. When carbon dioxide concentrations drop, Earth cools, some water vapor falls out of the atmosphere, and the greenhouse warming caused by water vapor drops.
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
Answer:
The unit of measure used in the study is "inches"
A pyramid is 24 feet tall a scaled model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model.
Multiple Choice Answers:
1/12
1/24
12
24
Answer:
1/12
Step-by-step explanation:
Given the following :
Actual height of pyramid = 24 ft
Dimension of scaled model :
Height = 2ft ; width = 1ft
a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.
Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.
(Height of scaled model / height of actual pyramid)
(2ft / 24ft) = 1/12
Pls help 10 ptsssssssssssss
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Q3)
Find the Correlation of the following two variables
X: 2, 3, 5, 6
Y: 1, 2, 4, 5
Write down all the prime numbers between 41
Answer: Step-by-step explanation:
List of prime numbers before 41 (including 41 itself): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41.
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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
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:
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
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}.
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
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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