Answer:
-6 is the correct answer
As one of the grade 9 top performing students competing for the “Boy Scout of the Year” award, you are assigned by your scoutmaster to design a camping site for the coming Boy Scout in-door camping. You have to maximize the area at which the 20 scouts can assemble their own tents. The tents should be equally spaced and must be situated at the same distance of 20 m from the tent of the scout master, which is located at the center of the scouts. The angle at which the tents are positioned from the scoutmaster should be approximately the same. Would you know how far apart the tents of the scouts are from each other?
Answer:
Yes you would know
Step-by-step explanation:
We can view these tents as sides on a shape that is 30 sided, with lines connecting each tents together.
After this we calculate the interior angle of each side, and use our given 20m to calculate it.
please help out with these
questions, thank you
An operations manager observes a new production process. Based on production of the first 4 units, the manager estimates that the learning rate is 96%. If unit #4 took 41.47 minutes to complete and th
Based on the information provided, the learning rate observed by the operations manager for a new production process is 96%.Given that unit #4 took 41.47 minutes to complete, we can estimate the time required to complete unit #5 using the learning curve formula:$$T_n = T_1 \times n^{-b}$$ where Tn is the time required to complete the nth unit, T1 is the time required to complete the first unit, n is the unit number, and b is the learning rate expressed as a decimal. To use this formula, we need to first find T1.
We can do this by using the time taken to complete unit #4. We know that unit #4 took 41.47 minutes to complete. Using the formula above, we can write:
$T_4 = T_1 \times 4^{-b}$$$$41.47
= T_1 \times 4^{-0.96}$$ Solving for T1,
we get:$$T_1 = \frac{41.47}{4^{-0.96}} \approx 13.559$$
Therefore, T1 ≈ 13.559 minutes. Using this value of T1 and the learning rate of 96%, we can find the time required to complete unit #5:$$T_5 = T_1 \times 5^{-0.96}$$$$T_5 = 13.559 \times 5^{-0.96} \approx 10.016$$Therefore, the estimated time required to complete unit #5 is approximately 10.016 minutes.
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Graph the data in the table. Decide whether the graph is linear or nonlinear.
The given points of the graph represent a nonlinear relationship.
Define the term linear graph?A linear graph is a type of graph where the points plotted create a straight line when connected. The slope of a linear graph indicates how steep the line is, while the y-intercept indicates the point where the line crosses the y-axis.
If the given points (1,1), (2,2), (3,6), (4,24) form a linear or nonlinear relationship with and without plotting the graph, we can calculate the slope between each pair of points.
The slope of a line between two points \((x_{1} , y_{1})\) and \((x_{2} , y_{2})\) is given by the formula:
slope = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\)
Let's calculate the slope between the first two points (1,1) and (2,2):
slope = (2 - 1) / (2 - 1) = 1/1 = 1
Now, let's calculate the slope between the second and third points (2,2) and (3,6):
slope = (6 - 2) / (3 - 2) = 4/1 = 4
Next, let's calculate the slope between the third and fourth points (3,6) and (4,24):
slope = (24 - 6) / (4 - 3) = 18/1 = 18
As we can see, the slopes between the pairs of points are not equal. In fact, they are increasing at a faster and faster rate. Therefore, the relationship between the x and y values is nonlinear.
To determine the specific type of nonlinear relationship, we can try to fit a curve to the data points. In this case, we can see that the points follow an exponential pattern, where the y-values increase rapidly as x increases. The equation that fits this pattern is y = \(2^x\).
Therefore, the given points (1,1), (2,2), (3,6), (4,24) represent a nonlinear relationship that follows the exponential function y = \(2^x\).
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Write 1.85 as a mixed number.
the answer for this question will be 1 17/20
Sam baby-sat for x hours and earned $75. If he baby-sits for y more hours at the same rate, his total earnings will be $100. Which of the following equations represents this situation? A. 75 + x y = 100 B. 75 + ( 75 x y ) = 100 C. 75 + ( 75 x ) y = 100 D. 75 + ( 75 y ) x = 100
The situation can be modeled with the linear equation:
$75 + y*($75/x) = $100
Which of the following equations represents this situation?
We know that if she wors for x hours, she earns $75.
This means that the amount that she gets per hour is:
R = $75/x.
Now, if she works y more hours, then she gets another $25 (for a total of $100).
We can write this as a linear equation:
y*($75/x) = $25
We can rewrite this as:
$75 + y*($75/x) = $100
So the correct option is B.
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Refer to the figure at the right to answer each question. 5. Are points H, J, K, and L coplanar? 6. Name three lines that intersect at X. 7. What points do plane WXYZ and HW have in common? 8. Are points W, X, and Y collinear? 9. List the possibilities for naming a line contained in plane WXKH
Problem 5
Answer: Yes the points are coplanar
------------------------
Explanation:
Note how all four points are in the same plane, aka face, along the top of the 3D block. The term "coplanar" simply means "all in the same plane", so that's why the points are coplanar.
In contrast, the set of points {H,J,K,Z} are not all coplanar because H,J,K are in the top plane, while Z is not.
===========================================================
Problem 6
Answer: line segments WX, XY, and XK
------------------------
Explanation:
All three lines mentioned above involve the letter X in some fashion. The order doesn't matter. Also, those lines intersect at the common point X.
===========================================================
Problem 7
Answer: point W
------------------------
Explanation:
The plane WXYZ is the bottom face, in which we can think of as the floor of the building. The segment HW is from the floor and goes up vertically. We can consider this to be like a pole beam of the structure. The plane and segment both have point W in common. Note that the letter "W" is found in the sequences WXYZ and HW, and it's the only common letter.
===========================================================
Problem 8
Answer: The points are not collinear
------------------------
Explanation:
To be collinear, the points must all be on the same straight line. We see that isn't the case with points W, X and Y.
===========================================================
Problem 9
I'm not entirely sure what your teacher is asking here, so I would ask for a second opinion.
the 3px, 3py, and 3pz orbitals look the same, but they point in different directions. T/F?
True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.
The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.
The p orbitals have a shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.
So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.
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(-6,0), y= 1/3x - 3 Write an equation of the line that passes through the given point and is parallel to the given line equation of the line in slope-intercept form: equation of the line in point-slope form:
Answer:
y=1/3x+2
Step-by-step explanation:
Answer:
Y=1/3x+2
Step-by-step explanation:
I got this answer write on my assignment.
Using the image above, what is the measure of Angle D? Round to the nearest hundredth
Answer:
57.1 degrees
Step-by-step=
32.9+90=122.9
180-122.9=57.1
Will make brainiest if 2 people answer :3
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6
The standard deviation for a population is σ=14.6. A sample of 17 observations selected from this population gave a mean equal to 138.30. The population is known to have a normal distribution. Round your answers to two decimal places. a. Make a 99% confidence interval for μ.
The 99% confidence interval (CI) for population mean is CI = (121.55, 155.05)
How to calculate confidence interval
Since we are given the value for standard deviation, we can calculate the confidence interval for the population mean using the formula;
CI = X ± zα/2 × σ/√n
where
X is the sample mean,
σ is the population standard deviation,
n is the sample size,
zα/2 is the critical value from the standard normal distribution
√n is the square root of the sample size.
Substitute the given values in the equation, we have
CI = 138.30 ± 2.898 × 14.6 / √17
CI = (121.55, 155.05)
Therefore, the confidence interval for the population mean is
CI = (121.55, 155.05)
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what is the solution for the equation 4x -10 equals 2x
x=5
x=4
x=1
x=1.67
Answer:
x=5
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
Which window with the following dimensions is too small to allow a 48-inch piece of glass to fit through it?
28 x 45 inches
36 x 27 inches
40 x 40 inches
40 × 42 inches
The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.
What is meant by dimensions?An object's dimension is a topological measure of the size of its covering properties. It is the number of coordinates required to specify a point on the object.A dimension is a measurement that includes things like length, width, and height. When you talk about an object's or place's dimensions, you're referring to its size and proportions. Dimensions are the powers to which basic units or quantities are raised in order to represent a specific physical quantity. <br> e.g., : In the gravitational constant formula, the length, mass, and time dimensions are 3, -1, and -2, respectively. The dimensional formula is defined as the physical quantity expressed in terms of its basic unit with proper dimensions. Dimensional force, for example. F = [M L T-2] It's because the Force unit is Newton, or kg*m/s2.To learn more about dimensions, refer to:
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Onetta biked 325 miles in 5 days. If she biked the same amount of miles each day, how far did she bike each day?
Answer:
65 miles a day
Step-by-step explanation:
325/5= 65
Consider the equation y' = −y² + y + 2yt² + 2t − t² − †4 a) Verify that both u = t² and v= t²+1 are solutions. b) Given the item above, what does the existence and uniqueness theorem imply about the solution y(t) that satisfies y(3) = 19/2? Remember to verify that the theorem can be applied.
a) Both u = t² and v = t² + 1 are solutions to the differential equation.
b) The existence and uniqueness theorem guarantees a unique solution y(t) that satisfies y(3) = 19/2.
a) To verify that both u = t² and v = t² + 1 are solutions to the differential equation y' = -y² + y + 2yt² + 2t - t² - 4, we substitute them into the equation and check if they satisfy it.
For u = t²:
y' = -y² + y + 2yt² + 2t - t² - 4
= -(t²)² + t² + 2t(t²) + 2t - t² - 4
= -t⁴ + t² + 2t³ + 2t - t² - 4
= 2t³ - t⁴ + t - 4
Since this expression is equal to y' when y = u = t², u = t² is a solution.
For v = t² + 1:
y' = -y² + y + 2yt² + 2t - t² - 4
= -(t² + 1)² + (t² + 1) + 2t(t²) + 2t - t² - 4
= -(t⁴ + 2t² + 1) + t² + 1 + 2t³ + 2t - t² - 4
= -t⁴ - t² - 2 + t² + 1 + 2t³ + 2t - t² - 4
= 2t³ - t⁴ + 2t - 5
Since this expression is equal to y' when y = v = t² + 1, v = t² + 1 is also a solution.
b) The existence and uniqueness theorem states that if a differential equation is continuous in a certain interval and satisfies certain conditions, then there exists a unique solution to the initial value problem within that interval.
In this case, the differential equation y' = -y² + y + 2yt² + 2t - t² - 4 is continuous, and the initial condition y(3) = 19/2 is given. To apply the existence and uniqueness theorem, we need to check if the equation is continuous in a neighborhood of t = 3.
Since the differential equation and its coefficients are polynomials, they are continuous everywhere. Therefore, the equation satisfies the condition of continuity.
By the existence and uniqueness theorem, we can conclude that there exists a unique solution y(t) to the given differential equation with the initial condition y(3) = 19/2.
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Solve the math problem
Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
For a I got Part a
The relationship is how when temperatures are rising the sweaters sold go down but when its colder the sweater sales go up.
and for b I don't know but I do know that the line of best fit goes well in points 12,0 (15,4) (7,10)
if you could just find the slope and y intercept and show your work
Answer:
See below.
Step-by-step explanation:
The line of best fit is in the screenshot.
(12,4) and (7,9) are the selected points.
9-4=5
7-12=-5
5/-5, or -1.
The approximate slope and y-intercept is -1 and 15.
-hope it helps
Plot the point - 1 1/2 on the number line.
Answer:
smack dab in the middle of negative one and negative two :)
The given point -1 1/2 is present in the middle of the -1 and -2 points.
What is a number line?A number line is a horizontal line in which integers are spread equally.
The given point is -1 1/2.
Hence, it is situated between points -1 and -2 on the number line.
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What is the area of a sector
when r=9/2 and 0=5pi/6 radians?
The area of the sector of radius 9/2 is 135π/16.
What is a sector?A sector is a plane shape that is made up of an arc and two radius.
To calculate the area of the sector, we use the formula below.
Formula:
A = (θ/2)×r².......................... Equation 1Where:
A = Area of the sectorθ = Angle of the sectorr = Radius of the sectorFrom the question
Given:
r = 9/2θ = 5π/6 radiansSubstitute these values into values into equation 1
A = (5π/6/2)×(9/2)²A = 135π/16Hence, the area of the sector is 135π/16.
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A
Median
5
Mean
6
Mean
4
Use the numbers
1, 2, 3, 4, 5, 6, 7, 8 & 9
to complete this table.
Mean
4
Mean
3
6
Mean
8
8
Do Now
Answer:
A
Median
5
Mean
6
Mean
4
Use the numbers
1,2,3,4,5,6,7,8 & 9
To complete this table
Mean
4
Mean
36
Mean
8
8
Do now
al, bill, and cal will each randomly be assigned a whole number from 11 to 1010, inclusive, with no two of them getting the same number. what is the probability that al's number will be a whole number multiple of bill's and bill's number will be a whole number multiple of cal's?
The probability of AL's number will be a whole number multiple of bill's and bill's number will be a whole number multiple of call's is 1÷ 80
The problem can be solved using Butte force approach
We can solves this in two cases
If Cal's number is :
If Bill's number is , Al’s can be any of 4, 6, 8, 10.
If Bill's number is , Al’s can be any of 6, 9.
If Bill's number is , Al’s can be 8.
If Bill's number is , Al’s can be 10.
Otherwise, Al's number could not be a whole number multiple of Bill's.
If Cal's number is 2 :
If Bill’s number is , Al's can be 8.
Otherwise, Al’s number could not be a whole number multiple of Bill's while Bill’s number is still a whole number multiple of Cal’s.
Otherwise, Bill's number must be greater than , i.e. Al’s number could not be a whole number multiple of Bill’s.
Clearly, there are exactly cases where Al's number will be a whole number multiple of Bill's and Bill's number will be a whole number multiple of Cal’s. Since there are 10×9×8 possible permutations of the numbers Al, Bill, and Cal were assigned, the probability that this is true is
9÷10×9×8
C = 1÷80
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. (a + b)2 – (2a – b)
Answer:
(-b) is the answer.
Step-by-step explanation:
2(a-b)-(2a-b)
=2a-2b-2a+b (opening the brackets)
= -b
Hope this helps you buddy. Have a nice day^_^.
If you have doubt then you can ask in comments. I will surely answer.
Answer:
3b
Step-by-step explanation:
=2a +2b-2a+b
=3b
yesyesyrssdfc
WHAT IS 0.9+0.7=? type your answer
Answer:
1.6
Step-by-step explanation:
0.9
0.7
----
1.6
basically add it how you would usually
Find an equation for the hyperbola with foci (0,±5) and with asymptotes y=± 3/4 x.
The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:
y^2 / 25 - x^2 / a^2 = 1
where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.
Thus, the equation for the hyperbola is:
y^2 / 25 - x^2 / (400/9) = 1
or
9y^2 - 400x^2 = 900
The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.
To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.
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in a standard television set, the screen height is 0.75 times the screen width. if a television set measures 26 inches along the diagonal, what is the screen width?
The width of a standard television set is equal tp 16.8 inches.
We will solve this by using the Pythagorean theorem which is below:
Or we can say
w = width
h = height
d = diagonal measure
We know the height is 0.75 times the width so 0.75w. We also know d = 26 , is our diagonal measure.
w = need to find
h = 0.75w
d = 26
\(w^2 + h^2 = d^2\\w^2 + 0.75w^2 = 26 ^2\\1.5625 w^2 = 441\\w^2 = 441/1.5625\\w ^2 = 282.24\)
w =16.8
Therefore width of a standard television set is 16.8 inches.
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Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11
Answer:
A
Step-by-step explanation:
Use the method of completing the square to express in vertex form.
Given
y = x² - 6x + 11
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 11 , then
y = (x - 3)² + 2 → A
Answer:A
Step-by-step explanation:
I need help with this graph what is the root or factored form of this? Thank you!
Answer:
(2.5×20)2=100 then square root of 100;
✓100=10
Hence answer is 10
Select all possible solutions for 2x + 7 < 3x - 5.
Answer:
7<x-5
12<x
x>12
Step-by-step explanation:
The r in the simple interest formula stands for rate which best describes how to use rate in formula
Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.
Define rate.The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.
Given
The r in the simple interest formula stands for rate.
Convert it to a decimal and multiply is the best way to describe rate in formula.
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Annie's Pie Shop has 12 pies for sale, including 4 chocolate cream pies.
What is the probability that a randomly selected pie will be a chocolate cream pie?
Write your answer as a fraction or whole number.
The best solution gets brainlist
Answer: 1/3
Step-by-step explanation:
The probability of selecting a chocolate cream pie can be found by dividing the number of chocolate cream pies by the total number of pies:
Probability of selecting a chocolate cream pie = Number of chocolate cream pies / Total number of pies
Probability of selecting a chocolate cream pie = 4 / 12
Simplifying this fraction by dividing the numerator and denominator by 4 gives:
Probability of selecting a chocolate cream pie = 1/3
Therefore, the probability of selecting a chocolate cream pie from Annie's Pie Shop is 1/3.