Answers
Part (a)
Open up Desmos and click on the button that looks like a plus sign. It's at the upper left corner. We're going to want to add a table.
Type all of the values into the table. This table is stacked vertically compared to yours which is laid out horizontally. It's the same thing pretty much. It depends on your preference on which you like better.
After the data values are typed in (which is a bit of a tedious process if you ask me), you'll then move to the next input box to type the following
[tex]y_1 \sim mx_1 + b[/tex]
Type it in exactly as you see it. To get the small '1's as subscripts, you'll need to use an underscore. So you'll type y_1 to mean [tex]y_1[/tex]
The ~ symbol is likely found in the upper left portion of your keyboard.
After typing that into the second input box, you should get what you see in the screenshot below.
The parameters your teacher wants are the m and b values.
Desmos is showing these values:
m = 0.125873b = -7.11916These values are approximate. As the instructions state, do not round the values mentioned.
Therefore, we go from y = mx+b to y = 0.125873x-7.11916 approximately
This is the regression line. It is the closest line to all of the points.
Answer: y = 0.125873x-7.11916===========================================================
Part (b)
The year 2022 is 2022-1900 = 122 years after the year 1900.
This means we'll plug x = 122 into the regression equation to find the predicted value for y.
y = 0.125873x-7.11916
y = 0.125873*122-7.11916
y = 8.237346
I used the Desmos input box as a calculator. Simply type in 0.125873*122-7.11916 exactly as you see it and it should produce the value 8.237346
That then rounds to 8.24
We predict in the year 2022, the minimum wage should be about $8.24
This is an estimated value because the regression line isn't perfect. In fact, the further we move away from the main known points, the worse off the estimation will likely get. This is why extrapolation could be a bad idea. However, it's a fairly good way to see what's going on.
Answer: $8.24
Related Questions
(2y + 5) (5y + 7)
Simplify your answer.
Answers
Answer:
10y^2 + 39y + 35
Step-by-step explanation:
Simplify using FOIL
he tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3
Answers
Answer:
Answer:
C
Step-by-step explanation:
Answer:
x=-6
Step-by-step explanation:
i got a hundred on the test
arrange the following in order 9,09 909,09 0,099 0,909 0,0099 9,0099 9,909
Answers
Answer:
0.0099, 0.099,0.909, 9.0099, 9.09, 9.909, 909,09
Step-by-step explanation:
Here they are from least to greatest. Hope this helps. :)
Let's find 3/4+1/10
First write the addition with a common denominator.
Then add. 3/4+1/10=?/?+?/?=?/?
Answers
Answer:
[tex]\frac{34}{40}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}+\frac{1}{10}[/tex]=[tex]\frac{30}{40}+\frac{4}{40}[/tex]=[tex]\frac{34}{40}[/tex]What is ∑n=15[5(−2)n−1] equal to?
Answers
Answer:
Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.
Anyway, there is neat formula that will deal with question very quickly. It is the following:
Sn is the sum of the geometric series
a1 is the first term in the series
r is the common ratio
n is the number of terms in the finite geometric series
Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.
The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, let's understand the notation.
∑n = 15 represents the sum of the expression that follows for n starting from 15, and the expression is 5 (−2) n − 1.
So, we need to find the sum of 5 (−2) n − 1 from n = 15 to n = 15, which means there is only one term in the sum.
Substituting n = 15, we get:
5 (−2) (15 − 1) = 5 (−2) 14 = 5/16384
Therefore,
The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.
Learn more about expressions here:
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The sum of two numbers is 36. One number is 2 times as large as the other. What are the numbers?
Larger number:
Smaller number:
Answers
Let the first number be "x", and the 2nd number (which is twice as large as the other), be 2x.
Set the equation
2x + x = 36
Simplify. Combine like terms
(2x + x) = 36
3x = 36
Isolate the x. Divide 3 from both sides
(3x)/3 = (36)/3
x = 36/3
x = 12
The first number is 12
The second number is 2x. Replace x with 12. Multiply.
2x = 2(12) = 24
The second number is 24
Check: 12 + 24 = 36 (True)
Answer: 12 & 24
Find the surface of the cone in terms of pi.
144pi cm2
108pi cm2
90pi cm2
180pi cm2
please
Answers
Check the picture below.
if the diameter of its base is 12, then its radius must be half that, or 6.
[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]
Find the surface area of the figure?
Answers
Step-by-step explanation:
the surface area consists of 6 individual areas :
front and back (both are equal)
left and right (both are equal)
top and bottom
front and back are trapezoids.
the area of a trapezoid is
(base 1 + base 2)/2 × h
the bases are the 2 parallel sides.
in our case the area of one trapezoid is
(5 + 19)/2 × 12.1 = 145.2 ft²
front and back together then are 290.4 ft².
left and right are 8×14 rectangles:
8×14 = 112 ft²
together they are 224 ft².
the bottom is a 5×8 rectangle :
5×8 = 40 ft²
the top is a 19×8 rectangle :
19×8 = 152 ft²
so, the total surface area is
290.4 + 224 + 40 + 152 = 706.4 ft²
Can someone help me with this
Answers
Select the correct answer. what is the y-intercept of f(x) = 3x 2? a. (9,0) b. (0,9) c. (0,-9) d. (9,-9)
Answers
The y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0. The y-intercept of the line with the function y = 3x + 2 is (0, 2)
Intercept of a lineThe y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0.
Given the equation of a line f(x) = 3x +2
If x = 0, them;
f(0) = 3(0) + 2
f(0) = 2
Hence the y-intercept of the line with the function y = 3x + 2 is (0, 2)
Learn more on intercept here: https://brainly.com/question/1884491
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Answer:
answer is (0, 9)
Step-by-step explanation:
did the test. plato.
ur welcome buddy
If the radius of a clock is 5 inches, what is the distance around the edge of the clock between the two and the five to the nearest hundredth of an inch
plssss help
thank you
Answers
Answer:
7.85 inches
Step-by-step explanation:
It mentions distance around the edge of the clock, which is basically another term used for arc length.
Arc Length Formula :
Arc Length = 2πr × θ/360°
Values given :
Radius (r) = 5 inches
Turning angle (θ) = 3/12 × 2π = 1/4 x 2π = π/2 = 90°
Solving :
Arc Length = 2 x 3.14 x 5 x 90/360
Arc Length = 15.7 x 0.5
Arc Length = 7.85 inches
You start at (3, -2). You move up 5 units. Where do you end?
Answers
Answer:
You would end at (3, 3).
Explanation:
You would plot your first mark at 3 on a typical xy graph because the first number in ()'s is always x (horizontal line).
Second, because your second mark is y (vertical line), you would plot -2 on the vertical axis.
Your y plot would be 5 more than -2 because you're traveling up five units, giving you (3, 3).
Explanation: you would end up at (3, 3) because you are originally given (3, 2) and the order goes (x, y). x is the placement on the horizontal line when y is the placement on the vertical line. So since you are starting at 3 to the right and 2 below zero you would move up 5 and get to (3, 3). :)
I need help! Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
30
Step-by-step explanation:
let unknown angle = x
cos = adjacent / hypotenuse
adjacent of ? = 13
hypotenuse = 15
cos(x) = (13/15)
==> take inverse cos of both sides
x = 30 (rounded)
Note : hypotenuse = longest side and adjacent = side thats not the hypotenuse or opposite
565.948063818 to 1 decimal place.
Answers
Answer:
565.9.
Step-by-step explanation:
The second decimal place is 4 so the first one stays at 9.
FIND B ONLY
WILL GET BRAINLIEST
Answers
Answer:
the answer is RATIONAL
Step-by-step explanation:
why u ask
becasue the number is less than 1
please mark brainiest
A box has a width of 5 centimeters and a height of 6 centimeters. If the volume is 150 cubic centimeters, what is the length of the box?
A) 5 centimeters
B) 4 centimeters
C) 7 centimeters
D) 3 centimeters
Answers
Answer: A. 5
Step-by-step explanation:
Answer:
A) 5 cm.
Step-by-step explanation:
Volume = length * width * height
150 = length * 5 * 6
Length = 150 / (5*6)
= 150/30
= 5.
i don't know exactly what to do
Answers
Answer:
Step-by-step explanation: Just relax effortlessly. Communion Kant be for All unless we are primed for purpose...
Find the area of the green triangle
Answers
Answer:
if im correct the answer is 48 ft2
Step-by-step explanation:
Answer:
[tex]16ft \: ^{2} [/tex]
Step-by-step explanation:
To find the area of the given triangle we'll use the formula:-
[tex]\boxed{\sf A = \cfrac{1}{2} \times b \times h}[/tex]
Where,
Base(B):- 8 ftHight (H):- 4ft[tex]\sf A = \cfrac{1}{2} \times 8 \times 4[/tex]
First, let's multiply 1/2 * 8 = 8/2.
[tex]\sf \cfrac{8}{2} \times 4[/tex]Divide 8 by 2= 4
[tex]\sf 4 \times 4[/tex][tex]\sf 16[/tex]Thus, the area of the triangle is 16ft^2.
You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replacing the first marble? explain your answer
Answers
Answer: Without replacing
Step-by-step explanation:
If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.
please help i dont get it... (average rate of change)
10.
The graph shows the price, in dollars, of a new digital toy for different levels of supply.
(image provided)
What is the average rate of change?
Answers
Answer:
-3
Step-by-step explanation:
Formula for average rate of change :
A(x) = f(a) - f(b) / a - bSolving :
A(x) = 115 - 85 / 5 - 15A(x) = 30/-10A(x) = -3Is the vertex of the graph a maximum or a minimum?
Answers
Answer:
maximum
Step-by-step explanation:
the vertex will give the maximum value for y, which is 3
HALPPPP its a drop-down
Answers
Answer:
Wider than4 units downI need help solving this
Answers
Answer:
50° and 40°
Step-by-step explanation:
complementary angles sum to 90°
80% = [tex]\frac{80}{100}[/tex] = 0.8
let the 2 angles be x and 0.8x , then
x + 0.8x = 90
1.8x = 90 ( divide both sides by 1.8 )
x = 50
0.8x = 0.8 × 50 = 40
the 2 angles are 50° and 40°
The element silicon has a molar mass of 28.09 g/mol. Calculate the mass of 0.15 mol of Silicon.
Answers
The answer is 28.09 g. I hope this helped.
Answer:
The answer is 4.2 g
Which lists contain only rational numbers? Select all that apply.
104
54, 163,
63, 191, 142
F
81, 49
49,11,19
25
V4, V16, 36
36, V64, V100
64,19,781, 14, 121
48
28 , /31, 10, 12
Answers
What is 6 3/4 % of $7,600.00
A. 513
B. 520
C. 456
D. 479.25
E. 550
Answers
Answer:
A 513
Step-by-step explanation: is your answer
Hope this helps :)
Choose all the equations that are equivalent
to -3(x - 2) = 4x − 2(x - 1).
-
Enter the corresponding letters, in alphabetical
order, separated by commas (without spaces).
A. -5x = -4
B. -5x = 4
C. -5x = 8
D. 2x - 4 =-3x
E. -3x + 6 = 2x + 2
F. -3x - 6 = 2x - 2
Answers
Answer:
a,e
Step-by-step explanation:
Answer:
A, E
Step-by-step explanation:
lets first solve the equation using distributive property:
-3(x-2)=4x-2(x-1)
-3x+6=4x-2x+2
-3x+6=2x+2 (E)
Now move the like terms on one side:
-3x-2x=2-6
-5x=-4 (A)
find two numbers who's difference is 10 and 1/6 of whose sum is 11
Answers
Answer:
38 and 28
Step-by-step explanation:
let the 2 numbers be a and b
(a - b)= 10.................................................1
1/6(a + b) = 11
hence (a + b) = 66...................................2
adding 1 and 2
a -b + a + b = 10 + 66
2a=76
a = 38
b=28
25(-7)= ?
what type of equation is this?? division, multiplication, addition, or subtraction??
Answers
Answer:
multiplication
Step-by-step explanation:
the () means to multipy
Triangle r q s is cut by line segment t v. line segment t v goes from side q r to side r s. the length of r v is x 10, the length of v s is x, the length of r t is x 4, and the length of t q is x minus 3. which value of x would make line segment t v is parallel to line segment q s? 3 8 10 11
Answers
The value of x that would make line segment T V is parallel to line segment Q S is where x = 10. (Option C)
What is a line segment?In Mathematics, a Line Segment is a part of a line that has two endpoints.
The difference between a line segment and a line is that while the former has a starting and an endpoint, the latter does not. See the attached image.
What is the Step by Step solution to the above problem?Step 1
Note that if QS is Parallel to TV, then both sides of the triangle must be proportionally divided by TV.
That is: RV/VS = RT/TQ.
Step 2 - replace the segments by the relevant equations
(X + 4)/(X- 3) = (X+10)/(X)
Step 3 - Cross Multiply
x(x +4) = (x -3)(x +10)
Removing the parentheses, we have
X² +4X = X² +7X -30; Subtract X² from both sides and we have;
4X = 7X - 30
Step 3 - Collect like terms by cross multiplying-3X = -30 or
3X = 30
Divide both sides by three and we have:
X = 10
Learn more about line segments at;
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Answer:
10 is the answer