Answer:
B. [tex]86\,\frac{m}{s^{2}}[/tex]
Step-by-step explanation:
From Newton's Laws of Motion, the spring is compressed against effects of weight of the person and as sping force is a restitutive force, the net force experimented by person is different from zero. By applying Second Newton's Law, we get this equation of equilibrium on person:
[tex]\Sigma F = k\cdot \Delta x -m\cdot g = m\cdot a[/tex] (Eq. 1)
Where:
[tex]k[/tex] - Spring constant, measured in newtons per meter.
[tex]\Delta x[/tex] - Change in the length of spring, measured in meters.
[tex]m[/tex] - Mass of the person, measured in meters.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]a[/tex] - Net acceleration of the person, measured in meters per square second.
Now we proceed to clear net acceleration:
[tex]a = \frac{k}{m}\cdot \Delta x -g[/tex]
If we know that [tex]k = 1.4\times 10^{4}\,\frac{N}{m}[/tex], [tex]m = 60\,kg[/tex], [tex]\Delta x = 0.41\,m[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], the acceleration of the person when spring reaches its greatest compression at the bottom of their jump is:
[tex]a = \frac{1.4\times 10^{4}\,\frac{N}{m} }{60\,kg} \cdot (0.41\,m)-9.807\,\frac{m}{s^{2}}[/tex]
[tex]a = 85.859\,\frac{m}{s^{2}}[/tex]
Which corresponds to option B.
Solve each proportion for x. Round to the nearest tenth.
117/45=x/95
Answer: x=247
Step-by-step explanation:
1. Set up the equation
117/45=x/95
2. Cross multiply
117(95) = 11115
45(x)= 45x
3. Set both equal to each other
11115=45x
4. Divide 45 on each side
11115/45 = 45x/45
5. Solve for x
x=247
Hope this helps :)
-Morgan
Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
O y=*+3
O y=-*x+3
Answer: y= -2x + 3
Step-by-step explanation:
How do you describe a quadratic equation?
Answer:
an equation of the second degree, meaning it contains at least one term that is squared.
Step-by-step explanation:
A quadratic equation contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
Find the LCD of the given rational equation:
Answer:
The correct answer is: D
Step-by-step explanation:
Consider the domain, which in this case x cannot be equal to -4 and -2.
The LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^2 + 2x - 8}[/tex]
Factorize the denominator of the fraction on the right hand side
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{(x - 2)(x + 4)}[/tex]
Write out the common factors in the denominator
LCD = (x + 4)(x + 2)(x - 2)
Hence, the LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
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You come from a large, dysfunctional family. You learn of this year’s upcoming reunion, and dread the very thought of being around those people for any length of time. However, you’ve been intrigued by your introductory statistics course, and decide you will have some fun with the reunion by using it as an opportunity to study your family. As a preliminary project, you want to keep track of how many times each family member verbally assaults another person throughout the first 24 hours.
After 24 hours, you review your notes:
Family Member # Verbal Assaults
Stew (Dad) 5
Marge (Mom) 7
Betsy 18
Fred 11
Gracie 4
Jorge 10
Kim 5
Ferdinand 15
Hal 6
You 19
Find the mean, median, and mode of your distribution:
1. Mean
2. Median
3. Mode
4. Which measure of central tendency do you think is most appropriate for this dataser? Why?
5. What is the range of your dataset? Show how you figured it out.
6. Define, as specifically as necessary, the population in which you are interested for this research. In other words, how do you decide whether a person would be appropriate to include in your study?
7-9. Find the standard deviation for the data in the table on the first page. Showing your work is how you earn points for this part
10. What is the standard deviation of your dataset?
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the number of times each family member verbally assaults another person throughout the first 24 hours.
Use Minitab to compute the descriptive statistics.
Go to Stat → Basic Statistics → Display Basic Statistics
A dialog box will open.
Select the variable.
Select 'Statistics'.
Another dialog box will open.
Select the statistics required.
Press OK.
Select "Graphs'.
Select Histogram.
Press OK
The output is attached below.
(1)
The mean of the data is, Mean = 10.
(2)
The median of the data is, Median = 8.50.
(3)
The mode of the data is, Mode = 5.
(4)
The inequality statement for the mean, median and mode is:
Mean > Median > Mode
A distribution is known as to be skewed to the right, or positively skewed, when maximum of the data are collected on the left of the histogram of the distribution.
Also if the Mean > Median > Mode then the distribution is skewed to the right.
For a skewed distribution the best of central tendency is the median.
So, the measure of central tendency that is most appropriate for this dataset is, Median = 8.50.
(5)
The range of the data set is:
Range = Maximum - Minimum
= 19 - 4
= 15
Thus, the range is 15.
(6)
The population of interest is the number of times the family members verbally assaults another person throughout the first 24 hours.
(7)
Consider the Minitab output.
The standard deviation of the data set is, SD = 5.60.
Suppose you scored an 80 on a measure where the mean is 65 and the standard deviation is 5. How many standard deviations from the mean is your score
Answer:
The score is 3 standard deviations from the mean
Step-by-step explanation:
To find this, we simply calculate the z-score
Mathematically;
z-score = (x-mean)/SD
In this question , x = 80
mean = 65
SD = 5
Thus;
z-score = (80-65)/5 = 15/5 = 3
How many sandwiches must you sell to make $100 profit
Answer:
About 25 sandwiches...
Step-by-step explanation:
Answer:
67 sandwiches
Step-by-step explanation:
If you invest 250 dollars to start, you're currently -250. If you gain 5.25 per sandwich you sell, you'd need to sell about 67 sandwiches.
I'm not entirely sure what your question meant though. If the question is simply asking how many sandwiches it would take to make 100 dollars, it would be about 20 sandwiches. If the question is asking how many sandwiches you'd need to sell to gain 100 dollars in profit, covering the cost of the cart, it would be about 67 sandwiches.
- 1 1/5 as improper fraction
The given - 1 1/5 expressed as improper fraction can be written as - [tex]\frac{6}{5}[/tex]
An improper fraction can be regarded as fraction whereby, the numerator is greater compare to the denominator.The numerator can regarded as the number that is on top, The denominator can regarded as the number that is at down.we were given [tex]\frac{1}{5}[/tex]-1 /5 so to express this as improper fraction, we multiply the whole number with the denominator then add to the numerator then we have
[tex]\frac{-6}{5}[/tex]-
Therefore, the improper fraction of the given figure is [tex]\frac{-6}{5}[/tex]
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12 apples to 8 oranges
Consider the hexagon ABCDEF what is the value of X? What is the measure of angle A? what is the measure of angle BCG?
Answer:
x = 52.5
<A = 152.5°
<BCG = 45°
Step-by-step Explanation:
Sum of interior angles of n-sided polygon = (n - 2)180
Sum of interior angles of hexagon = (6 - 2)180 = 4(180) = 720°
Therefore, sum of all the interior angles in the given hexagon = 720.
Thus:
3x - 5 + 2x + 140 + 135 + 2x + 30 + x = 720
Solve for x. Add like terms.
8x + 300 = 720
Subtract 300 from both sides
8x = 720 - 300
8x = 420
Divide both sides by 8
8x/8 = 420/8
x = 52.5
<A = (3x - 5)
Plug in the value of x
<A = 3(52.5) - 5 = 152.5°
<BCG = 180 - (2x + 30) (angles on a straight line)
Plug in the value of x
<BCG = 180 - (2(52.5) + 30)
<BCG = 180 - (105 + 30)
<BCG = 180 - 135
<BCG = 45°
A set of history exam scores are normally distributed with a mean of 83.2 points and a standard deviation
of 8 points.
What proportion of exam scores are between 82 and 89.2 points?
You may round your answer to four decimal places.
Answer: .3330
Step-by-step explanation:
The proportion of exam scores are between 82 and 89.2 points is 0.3330.
What is standard deviation?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
When comparing data sets that may have the same mean but a different range, it is helpful.
The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, though, is obviously more dispersed.
Given:
mean = 83.2 points and
standard deviation = 8 points.
So, the proportion is
P(82 ≤ x ≤ 89.2)
=P( 82- 83.2 / 8 ≤ z ≤ 89.2 - 83.2/8)
=P (0.75) - P(-0.15)
=0.7734 -(0.4404)
= 0.3330
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An object is moving at a speed of 32 yards per hour. Express this speed in feet per day.
Answer
2304 feet per day
Step-by-step explanation:
The object will move 2304 feet per day.
What is speed ?Speed is the distance an object moves in per unit of time.Speed is a scaler quantity because in speed the direction is not specified.
According to he given question an object is moving at a speed of 32 yards per hour.
We know 1 yard is = 3 feet.
∴ 32 yards is = 3×32 = 96 feet.
So, the object is moving at a speed of 96 feet per hour.
We also know that 24 hours is = 1 day.
The object moves 96 feet hour.
∴ The will move (96×24) feet per day.
= 2304 feet per day.
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What are all the factors of 54? O 1,2, 6, 9, 26, 54 O 1,2, 6, 9, 27, 54 O 1, 2, 3, 6, 9, 18, 26, 54 O1,2, 3, 6, 9, 18, 27, 54.
┈┈┈┈▕▔╱▔▔▔━▁┈┈┈┈
┈┈┈▕▔╱╱╱┈╲▂▔▔╲┈
┈┈▕▔╱╱╱╱▂▂▂▂▂▂▏
┈▕▔╱▕▕╱╱╱┈▽▽▽▽▽┈
▕▔╱┊┈╲╲╲╲▂△△△△┈┈
▔╱┊┈╱▕╲▂▂▂▂▂▂╱┈┈
╱┊┈╱┉▕┉┋╲┈
Answer:
1 2 3 6 9 18 27 and 54 I hoped this helps
Answer:
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
Step-by-step explanation:
Which expression shows the COMMUTATIVE PROPERTY of addition?
A. 3 + 5 + 2 = 3 + (5 + 2)
B. 3 + 5 + 2 = 8 + 2
C. 3 + 5 + 2 = 5 + 2 + 3
D. 3 + 5 + 2 = 10
Answer:
C
Step-by-step explanation:
Commutative property means to add in a different order.
Evaluate the expression when b= 2.
12 - b =
Answer:
Well, if b = 2, then 12 - b = 10
Step-by-step explanation:
hope this helps, lol! <3
For each of these intervals, list all its elements or explain 2.1 Sets 131 why it is empty. a) [a,a] c) (a, a] e) (a,b), where a > b b) [a,a) d) (a, a) f) [a,b],wherea>b
Answer: b
Step-by-step explanation:
Salena needs to purchase 9 skirts for a new job. her friend, Jamie goes with her each of the skirts costs $41. Salena says that she can find the total cost by multiplying 9 and 4 and adding that to product of 9 and 1. Jamie disagrees and says that she needs to find the product of 9 and 40 and add that to the product of 9 and 1. Who is correct and why?
Answer:
Jamie is correct. This is because 41 is a combination of 40 and 1. Salena thinks that the 4 is just a 4, however, the 4 is in the tens place, so the 41 without the 1 is 40. The answer to this 41 times 9 is 369. Not 45.
Step-by-step explanation:
Each skirt is $41
Salena needs 9
(9*40) + (9*1)
360 + 9
$369
At a grocery store, you want to buy 2 9/10 lb of. What decimal should the digital scale show?
Answer:
2.9
Step-by-step explanation:
Hope this helps:)
I just need some one to explain how to do it ,
Answer:
f(x) = (x^2-16) / (x+3)
f(x) has no horizontal asymptote.
Vertical assymptote is x = -3
Dividing the numerator by the denominator gives x - 3 remainder -7. Therefore, the oblique assymptote is x - 3.
the vertical asymptotes of the function f(x) = (5x + 1) / (x^2 + x - 6) = (5x + 1)/(x - 2)(x + 3) is x = 2 and x = -3.
the zeros of the function f(x) = (3x^2 - 3x - 6 ) / (3x - 6) = (3x^2 + 3x - 6x - 6) / (3x - 6) = (3x(x + 1) - 6(x + 1)) / (3x - 6) = (3x - 6)(x + 1)/(3x - 6) = x + 1 is x = -1
the function f(x) = (x^2 + x - 12) / (x - 3) = (x - 3)(x + 4) / (x - 3) is --> disc = 3, x-int = (-4, 0), y-int = 4? basic shape = straight line
Step-by-step explanation:
Hope this helps! brainliest please
What’s the y intercept
Answer:
y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Is the answer x=6????
Answer:
x=12
Step-by-step explanation:
5x-2 = 58
5x = 60
x = 12
find two possible factors for the estimated product 5,600
Answer:
If you want to find the other factor you would divide 5,600. One factor is 80 so the other factor should be 70 but if you put a dot you would get 0.07.
Step-by-step explanation:
g The company charges a flat fee of $20 plus $0.48 for every mile the car is driven. Find the cost c c of renting a car from Rent-A-Wreck for a day when x x number of miles are driven.
Answer:
The cost for day when x miles are driven is
C = 0.48x + 20
Step-by-step explanation:
Firstly, we shall need to write an equation that represents the rent age
Let C be the cost and m is the number of miles driven
C = 20 + 0.48m
So given that x miles are driven, then m = x
This implies = 20 + 0.48x
The mean of 7 numbers is 29. What is the total of the 7 numbers
Answer:
203
Step-by-step explanation:
Multiply the mean by the amount of numbers (7).
Check the statements that are true.
A. An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers.
B. A geometric sequence is a linear function whose domain is restricted to the set of non-negative integers.
C. An arithmetic sequence is an exponential function whose domain is restricted to the set of non-negative integers.
D. A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers.
Answer:
A and D.
Step-by-step explanation:
A sequence is a set of the objects or numbers in a specific order. It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}
(A)
"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."
The general form an arithmetic sequence is:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.
So, the statement provided is True.
(D)
"A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers."
The general form an geometric sequence is:
[tex]a_{n}=a_{1}\cdot r^{n-1}[/tex]
The function is exponential. The sequence consists of either numbers that are exponentially increasing or decreasing by the factor r, the common ratio.
So, the statement provided is True.
which integer represents 19°F bellow
Draw out a vertical number line. Positive values are above 0, and negative values are below zero.
PLS HELP!! According to the following diagram, which two options form a pair of opposite rays?
Ello there mate hows it going? I have done geometry and parlinguals along with alegbra! I am certified as a college professor and am willing to help ya!
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A,C
yours,
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A serving of rice is 2/5 of a cup. How many servings are there in a 1 3/5-cup bag of rice?
best estimate for 72% of 238?
Answer: Around 171, more specifically 171.36 if you need a exact number. You can also round it up if you need too.
Step-by-step explanation: 0.72 times 238 = 171.36
· At what point does the value of f(x) exceed the value of g(x) if
f(x)=200(1.194) and g(x) = 8x + 225? Justify your answer with a graph.
Someone help I’m dying
Step-by-step explanation:
hope this helps, good Luck xD.