Answer:
24, 48, 72, 96
Step-by-step explanation:
Least Common Multiple (LCM)
It's the smallest positive number that is a multiple of two or more numbers. For example, let's find the LCM of 15 and 25:
Multiples of 15: 15,30,45,60,75,90,...
Multiples of 25: 25,50,75,100,...
Note 75 is a common multiple of both and is also the smallest possible.
Lin puts a snowflake sticker every 6 lockers and a snowman sticker every 8 lockers. To find the lockers where both stickers are places, we must find the LCM of 6 and 8:
6 = 2*3
8 = 2*2*2
Multiplying the common factors the maximum number of times it appears:
LCM = 2*2*2*3 = 24
Thus, every 24 lockers there are two stickers until Lin reaches the last 100th locker along the halfway.
The sequence of lockers is:
24, 48, 72, 96
The least squares regression equation for the data in the table is
ỹ = 13. 5x + 58. 4. The R-value is 0. 977.
х
у
0
65
2.
82
4
107
6
134
8
174
Why might you use a linearized model instead?
To determine if linearization is appropriate, you can visually inspect the relationship between the variables using scatter plots or conduct statistical tests to assess linearity. In this case, with an R-value of 0.977, indicating a strong linear relationship, it may not be necessary to linearize the model. However, if there were indications of nonlinearity or if the research question requires a linearized model for interpretability or simplification purposes, then using a linearized model would be a reasonable choice.
When analyzing data and fitting a regression model, sometimes it may be appropriate to use a linearized model instead of a linear model. The decision to use a linearized model depends on the nature of the relationship between the variables and the objectives of the analysis. Here are a few reasons why one might opt for a linearized model:
1. Simplifying complex relationships: Linearized models can help simplify complex relationships between variables by transforming the data into a linear form. This can make it easier to interpret the relationship and make predictions. For example, if the original data shows a nonlinear relationship, such as exponential or power-law growth, a linearized model can transform the data to make it linear.
2. Assumption of linearity: Linear regression assumes a linear relationship between the independent and dependent variables. If there is evidence to suggest that the relationship is not linear, using a linearized model can help address this assumption violation. By transforming the data, it may be possible to achieve a better fit to the linear model assumptions.
3. Model interpretability: Linearized models often have more straightforward interpretations compared to nonlinear models. This can be especially useful when presenting or communicating results to stakeholders who may not have a strong statistical background.
For more such information on: linearization
https://brainly.com/question/30114032
#SPJ8
p and q are complex numbers such that |p|=7√3 and |p+q|=12√2. On what interval must |q| fall on?
The interval where |q| will fall will be[ 12√2−7√3,∞ ).
What are complex numbers?A complex number is an element of a number system that contains the real numbers and a specific element.
In this case, p and q are complex numbers such that |p|=7√3 and |p+q|=12√2. The interval where |q| will fall will be[ 12√2−7√3,∞ ).
Learn more about numbers on:
https://brainly.com/question/251701
#SPJ1
help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!
Answer:
length should be 7.7 meters (if not 7.7 then 7.6)
Step-by-step explanation:
A=LW
(area equals length times width)
just plug in what you know...
we know the area (A) is 20 square meters
we know that the width (W) is 2.6 meters
20=L2.6
now divide 2.6 to get L by itself which will give you
7.69230769231 (rounded to the nearest tenth is 7.7)
you can check this by adding 5 to the width (since it says the length is 5 meters longer than the width) and see if you get the same answer
hope this helps !! :)))
Evaluate -2=y+5 and solve the variable
Answer:
y=-7
Step-by-step explanation:
-2=y+5
-7=y
How to find the length of the segment indicated?
Answer:
Step-by-step explanation:
it is 2x
Jessica drew a scale
drawing of a movie
theater. The scale she
used on the drawing was
4 inches = 5 feet. In real
life, the walkway at the
movie theater was 30 feet
long. What will be the
length of the walkway on
Jessica's drawing?
Answer:
24 inches
Step-by-step explanation:
30 divided 5
that equals 6
then times 6 with 4
you get 24 inches
3. What is the angle in the picture below called?
a straight angle
an acute angle
a right angle
a reflex angle
Answer:
straight angle
Step-by-step explanation:
Straight angles are 180 degrees or a flat line and your angle is a straight line
Find the area of the figure. Round to the nearest hundredth.
The area of the figure is calculated to be
27.42 square cmHow to find the area of the figureThe area of the figure is calculated by dividing it into simpler sections, solve for the area of the simpler sections and add up
The figure is divided into
2 triangles anda rectangleArea of triangles = 1/2 base * height
= 1/2 * 1.1 * 4.8 + 1/2 * 5.9 * (4.8 - 3.6)
= 2.64 + 3.54
= 6.18
Area of rectangle = length * width
= 5.9 * 3.6
= 21.24
Total area = area of the figure
= 6.18 + 21.21
= 27.42 square cm
Learn more about composite figures at
https://brainly.com/question/21135654
#SPJ1
Work out the value of x and the value of y in the simultaneous equations below. 4x + 7y = 40 - 4x + 4y = 4
The solution for the simultaneous of equations 4x + 7y = 40 and 4x + 4y = 4 by elimination are x = -11, y = 12
How to evaluate for the solutions of the equations by eliminationwe shall write the equations as:
4x + 7y = 40...(1)
4x + 4y = 4...(2)
subtract equation (2) from (1) to eliminate x
4x + 7y - 4x - 4y = 40 - 4
3y = 36
divide through by 3
y = 12
put the value 12 for y in equation (1) to get
4x + 7(12) = 40
4x + 84 = 40
4x = 40 - 84 {subtract 84 from both sides}
4x = -44
divide through by 4;
x = -11
Therefore, the solution for the simultaneous of equations 4x + 7y = 40 and 4x + 4y = 4 by elimination are x = -11, y = 12
Know more about elimination here:https://brainly.com/question/28405823
#SPJ1
Solve for y -x - 2y=8
Answer:y=4
Step-by-step explanation:
A fair 6 sided die is rolled twice. What is the probability that the first number that comes up is greater than or equal to the second number?.
Answer: each time you roll a 6-sided die is 1/6 percent to get any number
Step-by-step explanation:
Sweats--Coach Tis looking for new sweatpants at Tarjay. He sees that Mikey brand sweatpants are $49.99 each but they are 15% off with a teacher discount. What final price does Coach pay for one new pair? (You should round to the nearest cent) "The final price Coach pays is..."
Answer:
your english is very bad
Step-by-step explanation:
Players no longer need commitment strategies to reach a mutually-beneficial cooperative equilibrium when games are?
Players no longer need commitment strategies to reach a mutually-beneficial cooperative equilibrium when games are repeated.
This is an exercise related to Game Theory.
What are repeated game?The extended form is typically used to depict repeated games, commonly referred to as supergames, in game theory since they occur repeatedly across time.
The potential of collaborating means that we may choose to compromise in order to continue earning a payout over time, knowing that if we do not fulfill our part of the bargain, our adversary may decide not to either.
As contrast to one-shot games, recurring games provide a new set of incentives.
Learn more about Game Theory:
https://brainly.com/question/14347653
#SPJ1
1. Find f(-2) if : *
f (x) = 4 |x – 4| + 2
-20
28
32
26
Answer: 34
f(-2) means inserting 'x = -2' into the equation.
x = -2
4*|-2 -4| +2
= 4*|-8| + 2
= 4*8 + 2
= 32 + 2
= 34
What is the measure of ∠ABC?
Answer:
ABC = 37
Step-by-step explanation:
inscribed angle = 1/2 intercepted arc
B = 1/2 ( 74)
B = 37
The temperate in Anchorage, Alaska at 9am was at -2°F. At 9pm the temperature decreased 7°F. Write an expression that represents the difference between the temperature from 9am to the resulting temperature at 9pm. How do I write the expression?
graph the equation y = 1/2x-2 using 2 slope and y-intercept
for graph this equation,
we will calculate the point on this line,
the equation is
y = 1/2x-2
when x = 0
y = 1/2 (0) - 2
y = -2
thus, the point is (0, -2)
when x = 2
y = 1/2 (2) - 2
y = 1 - 2
y = -1
thus, the point is (2, -1)
when x = 4
y = 1/2(4) - 2
y = 2 - 2
y = 0
thus, the point is , (4, 0)
so we mark these points on the graph and join them to get a line on the graph.
1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)
Answer:
\(y = \sqrt{900 - x^2\)
Step-by-step explanation:
Given
From the complete question, we have:
\(r=30\) --- radius
Required
Expression for the height of the roller coaster
We have:
\(x^2 + y^2 = r^2\) --- equation of circle
Substitute 30 for r
\(x^2 + y^2 = 30^2\)
\(x^2 + y^2 = 900\)
Since the roller coaster is half of the circle, the height is defined by y.
So: make y the subject
\(y^2 = 900 - x^2\)
Take square roots
\(y = \sqrt{900 - x^2\)
Hence, the height is:
\(\sqrt{900 - x^2\)
what is area and circumference of the circle if diameter is 30
Solution, Diameter = 30\(radius = \frac{diameter}{2} = \frac{30}{2} = 15 \\ \)
Now, []area = \pi {r}^{2} \)\( = 3.14 \times 15 \times 15\)\( = 706.5 \)Hence the area is 706.5now........\(circumference = 2 \: \pi\: r\)\( = 2 \times 3.14 \times 15\)\( = 94.2\)hence the answer is 94.2...
Solution,
Diameter = 30
\(radius = \frac{diameter}{2} = \frac{30}{2} = 15 \\ \)
Now,
\(area = \pi {r}^{2} \)
\( = 3.14 \times 15 \times 15\)
\( = 706.5 \)
Hence the area is 706.5
now........
\(=Circumference = 2 \: \pi\: r\)
\( = 2 \times 3.14 \times 15\)
\( = 94.2\)
hence the answer is 94.2...
Erin and her friends went to a movie on Thursday afternoon. It took 50 minutes to drive to the theater. They arrived at the theater 50 minutes before the movie started. Once it started, the movie lasted for 1 hour and 30 minutes and ended at 4:30 P.M. What time did Erin and her friends leave for the movies?
Answer: 12:30 P.M.
Step-by-step explanation:
50 + 50 + 50 + 90 minutes = 240 minutes
240 divided by 60 = 4
4 hours before 4:30 P.M. = 12:30 P.M.
Answer should be 12:30 P.M.
Answer:
They left the house at 1:20 P.M.
Step-by-step explanation:
The movie was an 1 1/2 so 4:30 - 1:30 = 3:00
Thy got there 50 minutes before so 3:00 - 0:50 = 2:10
It took them 50 minutes to get there so 2:10 - 0:50 = 1:20
Therefore they left the house at 1:20 P.M.
Divide this for me someone plssss
Answer:
It is the 3rd one
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
x-6-6/x+4
when an interger is subtracted from 2 times the next consecutive odd interger the difference is 9 find the value of the greatest integer
The value of the greatest integer is 7.
Let's assume the consecutive odd integers as x and x+2. According to the given information, when an integer is subtracted from 2 times the next consecutive odd integer, the difference is 9.
Mathematically, we can represent this as:
2(x+2) - x = 9
Now, let's solve the equation:
2x + 4 - x = 9
Simplifying further, we have:
x + 4 = 9
Subtracting 4 from both sides:
x = 5
So, the value of the first consecutive odd integer (x) is 5.
The next consecutive odd integer can be found by adding 2 to the first consecutive odd integer:
x + 2 = 5 + 2 = 7
Therefore, the second consecutive odd integer is 7.
To find the greatest integer, we compare the two consecutive odd integers. In this case, the second consecutive odd integer (7) is greater than the first consecutive odd integer (5).
Hence, the value of the greatest integer is 7.
learn more about integer here
https://brainly.com/question/15276410
#SPJ11
as the spacing between joists increases, the maximum span for any board size: A. increases only. B. decreases only. C. increases and then decreases. D. decreases and than increases
As the spacing between joists increases, the maximum span for any board size will B. decrease only. This is because the wider the spacing between joists, the more weight and pressure will be placed on the boards that are spanning the gap between them.
This means that the boards will need to be stronger in order to support the weight without bending or breaking.
If the boards are not strong enough, they may sag or bow under the weight, which can create safety hazards or damage to the structure. Therefore, it is important to use the appropriate board size and spacing between joists for any given application in order to ensure structural integrity and safety.
In summary, increasing the spacing between joists will result in a decrease in the maximum span for any board size, as the boards will need to be stronger in order to support the weight and pressure. It is important to choose the right board size and joist spacing to maintain the structural integrity and safety of the building or structure.
To learn more about joists, refer:-
https://brainly.com/question/1927626
#SPJ11
Find in slope intercept form the equation of the line parallel to y + 5x = 2 and passing through the point (-1, 4)
Step-by-step explanation:
The slope of the line is - 5, the equation will be y=-5x-1.
y+5x=-1
Jason paid a $100 start-up fee for his telephone. He also pays a monthly service charge, X.
Jason paid a total of $340 in the first 6 months. Which of the equations below can be used
to find the monthly service charge?
Answer:
B
Step-by-step explanation:
340=100+6x
I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
company a rents copiers for a monthly charge of $200 plus 10 cents per copy. company b rents copiers for a monthly charge of $400 plus 5 cents per copy. what is the number of copies above which company a's charges are the higher of the two? write your answer as a number only.
Therefore, when the number of copies made in a month is above 4000, company A's charges are higher than company B's charges in the given equation.
Let's start by setting up an equation to represent the cost of renting a copier from each company:
Cost for company A = 0.10x + 200
Cost for company B = 0.05x + 400
where x is the number of copies made in a month.
To find the number of copies above which company A's charges are higher than company B's charges, we need to set the two equations equal to each other and solve for x:
0.10x + 200 = 0.05x + 400
0.05x = 200
x = 4000
To know more about equation,
https://brainly.com/question/28243079
#SPJ11
The position of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be modeled by the function: y = 14t2. a second train that is 1,200 feet ahead of the first train is traveling at a constant speed of 149 feet per second and can be modeled by the function: y = 149t 1200. solve the system of equations. which solution represents a viable time that the trains are side by side? a. 14 seconds b. 15 seconds c. 16 seconds d. 17 seconds
The trains are side by side after approximately 15 seconds.Option (b) is correct.
How to solve system of equation?The position of the first train is given by the function:
\($$y_1 = 14t^2$$\)
The position of the second train is given by the function:
\($$y_2 = 130t + 1200$$\)
To find the time when the trains are side by side, we need to solve for the value of t that makes y1 = y2. Thus, we can set the two equations equal to each other:
\($$14t^2 = 130t + 1200$$\)
Rearranging the terms, we get:
\($$14t^2 - 130t - 1200 = 0$$\)
Dividing both sides by 2 to simplify the coefficients, we get:
\($7t^2 - 65t - 600 = 0$$\)
We can use the quadratic formula to solve for t:
\($t = \frac{-(-65) \pm \sqrt{(-65)^2 - 4(7)(-600)}}{2(7)} = \frac{65 \pm \sqrt{4225 + 16800}}{14}$$\)
Simplifying the expression under the square root, we get:
\($$\sqrt{21025} = 145$$\)
So the solutions are:
\($t_1 = \frac{65 + 145}{14}=15$$\)
\($t_2 = \frac{65 - 145}{14} \approx -5.71$$\)
Since time cannot be negative, we discard t2 as an extraneous solution. Thus, the viable time when the trains are side by side is:
\($t = t_1 =15$$\)
Therefore, the trains are side by side after approximately 15 seconds.
To know more about Function visit:
brainly.com/question/28193995
#SPJ1
plsss plsss plsss help
what is the slope of the line that passes through the points (7,-9) and (15,-29)