Answer:
work done against friction: (a) if a body is moved horizontally against the frictional force this type of work is work done against friction.
(b) for example sliding a box and rolling a drum
work done against gravity: (a) if a body is moved vertically upwards against the gravity of the earth, this type of work is work done against gravity
(b) for example lifting and throwing of a body upward
Step-by-step explanation:
hope it's helpful
Blake has the following scores on his Algebra tests this semester: {100, 85, 55, 95, 75, 100} How many scores are within one standard deviation of the mean?
The number of Blake's scores that are within one standard deviation from the mean are; Five scores
What is a standard deviation?The standard deviation is obtained from the square root of the squared average of the squared differences between each data point in the dataset and the mean.
The mean of the scores is; (100 + 85 + 55 + 95 + 75 + 100)/6 = 85
The square of the difference are;
(100 - 85)² = 225, (85 - 85)² = 0, (55 - 85)² = 900, (95 - 85)² = 100, (75 - 85)² = 100, and (100 - 85)² = 225
The sum of the squares of the difference from the mean is therefore;
225 + 0 + 900 + 100 + 100 + 225 = 1550
The variance = The average of the squared deviation is therefore;
Variance = 1550/6 = 258.\(\overline{3}\)
The standard deviation is therefore; σ ≈ √(258.\(\overline{3}\)) ≈ 16.07
The scores that are one standard deviation from the mean are;
85 - 16.07 ≤ Score ≤ 85 + 16.07
68.93 ≤ Score ≤ 101.07
Therefore, the scores that are within one standard deviation from the mean are; 75, 85, 95, 100, 100, therefore, five scores are within one standard deviation from the mean.
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x^2 + y^2 = z^2
A) The square of the sum of the first number and second number is the square of the third number
B) The sum of the square of the first number and the square of the second number is the square of the third number
pls need help with this..
Can someone please help me on this i’ve been doing this for an hour
Step-by-step explanation:volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length
Compare representing points in the table and in the coordinate plane?
(7,9) ,(9,7), (0,6), (3,8), (7,5), (8,3), (6,0), (9,10), (5,2), (2,5)
The points (7,9), (9,7), (0,6), (3,8), (7,5), (8,3), (6,0), (9,10), (5,2), and (2,5) can be represented in a table with two columns - one for the x-coordinate and one for the y-coordinate. This format is useful for organizing and manipulating data, but it does not provide a visual representation of the location of the points.
On the other hand, a coordinate plane is a visual tool that allows us to plot and view the location of points in two-dimensional space. The x-axis and y-axis intersect at the origin (0,0), and each point is represented by a unique combination of x and y coordinates. This format is particularly useful for understanding the relationships and patterns among the points.
A table lists the coordinates of points in a tabular format, a coordinate plane allows us to plot and visualize the location of points in two-dimensional space.
Representing points in a table and in a coordinate plane are two common ways to visually display data. While a table lists the coordinates of points in a tabular format, a coordinate plane is a graphical representation that allows us to plot and visualize the location of points in two-dimensional space.
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a triangle has the following measures: 2x degrees, 3x degrees, and 22 degrees. find the actual measures of 2x degrees and 3x degrees
Answer:
Step-by-step explanation:
The sum of the angles in a triangle is always 180 degrees. Therefore,
2x + 3x + 22 = 180
Simplifying the equation,
5x = 158
Dividing by 5 on both sides,
x = 31.6
To find the actual measures of 2x and 3x, we substitute the value of x:
2x = 2(31.6) = 63.2 degrees
3x = 3(31.6) = 94.8 degrees
Therefore, the actual measures of 2x and 3x are 63.2 degrees and 94.8 degrees, respectively.
Help!! Please!!!! Please show your work!
Answer:
N/A
Step-by-step explanation:
We should first simplify the right side, and doing so will get x/3+6=x/3+10. WE then subtract x/3 on both sides to get 6=10. Since this cannot be true, there are no solutions.
Answer:
no solution
Step-by-step explanation:
\(\frac{x}{3}\) + 6 = 2(\(\frac{x}{6}\) + 5) ← distribute parenthesis by 2
\(\frac{x}{3}\) + 6 = \(\frac{x}{3}\) + 10 ( subtract 6 from both sides )
\(\frac{x}{3}\) = \(\frac{x}{3}\) + 4 ( subtract \(\frac{x}{3}\) from both sides )
0 = 4 ← False statement
This indicates the equation has no solution
for the point (-4,4) on the terminal arm of the angle θ. a) find exact value of fractional form of sin θ
Given:
The point (-4,4) on the terminal arm of the angle θ.
Required:
Find exact value of fractional form of sin θ.
Explanation:
Let x = -4
Let y = 4
Let r = the length of a line segment drawn from the origin to the point
\(\begin{gathered} r=\sqrt{x^2+y^2} \\ r=\sqrt{(-4)^2+4^2} \\ r=\sqrt{16+16} \\ r=\sqrt{32} \\ r=\sqrt{2\times16} \\ r=4\sqrt{2} \end{gathered}\)\(\begin{gathered} sin\theta=\frac{y}{r} \\ sin\theta=\frac{4}{4\sqrt{2}} \\ =\frac{1}{\sqrt{2}} \end{gathered}\)Answer:
This is the answer.
A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Age Range 18-30 31-50 51 Total Sport Football 15 19 17 51 Baseball 7 12 18 37 Basketball 15 8 11 34 Soccer 12 9 6 27 Total 49 48 52 149 What proportion of those surveyed chose basketball as their favorite sport? StartFraction 34 Over 149 EndFraction StartFraction 15 Over 49 EndFraction StartFraction 18 Over 52 EndFraction StartFraction 37 Over 149 EndFraction
The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)
Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
To calculate the number of adults who chose basketball, we sum up the values from the age range categories:
Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball
Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:
Number of adults who chose basketball = 15 + 8 + 11 = 34
Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:
Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)
From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:
Total number of surveyed adults = 49 + 48 + 52 = 149
Now, we have the values we need to calculate the proportion:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
= 34 / 149
Hence the correct option is (a).
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Suppose that a phone originally sold for $800 loses 3/5 of its value each year after it is released. After 2 years, how much is the phone worth?A. $800B. $1333C. $128D. $288
The phone is worth $128 after 2 years, which is option C.
What is exponential decay ?
Exponential decay is a decrease in a quantity over time where the rate of decay is proportional to the current value. In this case, the value of the phone decreases by 3/5 each year after it is released. This means that the value after one year is 2/5 of the original value, and the value after two years is (2/5) times (2/5) of the original value. Exponential decay is a common phenomenon in many areas of science and mathematics, including radioactive decay, population growth and decay, and financial investments.
Calculating the worth of the phone :
The phone is not worth the same amount after 2 years, as it loses 3/5 of its value each year. We need to calculate its worth after 2 years.
Let's use the formula for exponential decay: \(A = A_0(1 - r)^t\), where A is the final amount, \(A_0\) is the initial amount, r is the decay rate, and t is the time elapsed.
In this case, the initial amount is $800, the decay rate is 3/5, and the time elapsed is 2 years. Substituting these values into the formula, we get:
\(A = 800(1 - 3/5)^2\)
\(A = 800(2/5)^2\)
\(A = 800(4/25)\)
\(A = 128\)
Therefore, the phone is worth $128 after 2 years, which is option C.
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A jeweler designs necklaces that are perfectly round open- circles each with a radius of 8.4mm. (1m= 1000mm) What is the largest number of open- circle necklaces that can be made from a wheel of spooled gold that is 42m long?
Answer:
795
Step-by-step explanation:
First, we find the circumference of 1 ring.
c = 2πr
c = 2 × 3.14159 × 8.4 mm
c = 52.7787 mm
The circumference of 1 ring is the length of spooled gold used for 1 ring.
The spool has a total length of 42 m.
42 m × 1000 mm / 1 m = 42,000 mm
The spool has a total length of 42,000 mm.
Now we divide the length of the spool by the length of 1 ring.
42,000 mm / 52.7787 mm = 795.78
He can make 795 rings.
Candy choices at the movie theater are an example of which type of data? Statistic Extreme Qualitative Quantitative
The example of choosing candy falls under the dignified criteria of Qualitative data. Then the correct option required is Option B.
Qualitative data refers to data that is considered descriptive and conceptual which are collected through questionnaires, observation, and interviews. candy choices in the given question fall under the description of Qualitative data. Due to the following reasons
It is non-numerical and readily describes the characteristics of objects, people, places, etc.No calculations are included for choosing a particular option that will in conclusion help in determining the better candy.No involvement of 2nd person's preferences or choices to find a suitable candy.No limiting variables to hold the imagination, are required to select the perfect candy.To learn more about Qualitative data,
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Damon bought a girl he likes chocolate for valentines day. After tax they cost $13.60. If tax was 8.5%, what was the cost of the chocolate before tax?
Answer:
$12.53
Step-by-step explanation:
13.60 / 1.085 = 12.53
Answer:
13.50×8.5%=1.1475
13.50
-1.60=
Consider the equation y = negative 2 x + 5. Create a table of five ordered pairs that satify the equation. What is the slope of the line represented by the equation? a. M = 2 b. M = 5 c. M = negative 2 d. M = negative 5.
Answer: C
Step-by-step explanation:
Slope is the number right in front of x, which in this case would be -2. So C is the answer.
Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.
x|y
0|5
1|3
2|1
3|-1
4|-3
100 POINTS AND BRAINLIEST!!!! SHOW YOUR WORK!!!!!!!!
Solve for x to the nearest tenth.
Answer:
I got x= 57 degree
Step-by-step explanation:
Steps in the photo-
Answer:
57 degree
Step-by-step explanation:
Like what he said.
what is the slope of (-3,-6) and (4,7)
Answer:
13/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-(-6))/(4-(-3))
m=(7+6)/(4+3)
m=13/7
Can someone help me with this equation?
Answer:
so far i think 9 but that's all I know for how
Step-by-step explanation:
image them turning into triangles
f (x) = 5-1. Find the inverse of f(x) and its domain.
x+5
O A. f¹(x) = ₁ +5, where x# -5
O B. f-¹(x)=z1-5, where x# -5
O c. f-¹(x) = 1 – 5, where x# -1
-
O D. f¹(x) = ₂¹₁ +5, where x‡ 1
K
Thethe inverse of f(x) and its domain can be written as f-¹(x) = 1/(x+1 )- 5 where x \(\neq\)-1
How can the inverse as the domain be calculated?Given : f (x) = 1/(x+5 )-1
we can make f(x) as y which implies that f(x) = y
Then we will have y= 1/(x+5) -1
if we flip x as well as y the we weill have ,
x= 1/y+5 -1
we can rearrange as ( x+1)= 1/(y+5 )
making y+5 the subject of the formular, we have
( y+5)= 1/(x+1 )
y= 1/(x+1 )- 5
f-¹(x) = 1/(x+1 )- 5
x+1 \(\neq\) 0
x \(\neq\) -1
Therefore, option C is correct which is f-¹(x) = 1/(x+1 )- 5 where x \(\neq\)-1
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properly written question:
15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.
HELP FAST WILL MARK BRAINLIEST!!
You select a marble from a bag of yellow and green marbles and put it back. You record how many yellow marbles are selected in two attempts. The graph shows the theoretical probability distribution.
Which could be the contents of the bag?
A. 2 yellow, 2 green
B. 2 yellow, 4 green
C. 3 yellow, 2 green
D. 2 yellow, 3 green
B most likely i dont think it can be another one
Select the expression that is equal to –10(4x – 5).
Answer:
-2 (20x - 25)
Step-by-step explanation:
Answer:
40x - 50
Step-by-step explanation:
10(4x)= 40x
10(-5)= - 50
40x - 50
Do you have a recipe that requires 1/3 cup of sugar, but you only want to make a fourth of the recipe how much sugar do you need to make this fraction of the recipe? A) 1/12 cups. B) 7/12 cups. C) 3/4 cups. D) 4/3.
Answer:
1/12
Step-by-step explanation:
i did 3x4=12 so you only need 1/12
A storage box is 3 feet wide, 15 feet long, and 2 feet tall. What is the volume of the storage box??
Answer:
90 feet
Step-by-step explanation:
Multiply the width, length, and height to find volume.
Because this is a rectangular prism, this is all that needs to be done.
Answer:
V =90 ft^3
Step-by-step explanation:
The volume of a box is given by
V = l*w*h
V = 3*15*2
V =90 ft^3
Thank for doing it love you
Answer:
1 is 1/9 2 is 1/9 3 is 5/9 4 is 8/9
Step-by-step explanation:
A(Ab AC AA) B(ba bb bc) C(ac bc cc)
Mr. Robison rides 136 miles per hour on his bike ride. He wants to ride more than 360 miles at the same rate during his next bike ride. Which inequality represents all possible values for b, the number of hours Mr. Robison must bike to ride more than 360 miles rounded to the nearest hundredths?
Answer: See explanation
Step-by-step explanation:
From the equation, we are informed that Mr. Robison rides 136 miles per hour on his bike ride and that he wants to ride more than 360 miles at the same rate during his next bike ride.
The inequality that represents all possible values for b, the number of hours Mr. Robison must bike will be:
136b > 360
b > 360/136
b > 2.65
Therefore, Me Robinson must bike for more than 2.65 hours
Which expressions are equivalent to the one below? Check all that apply. 49^x
Answer:
A,D,F
Step-by-step explanation:
Answer:
7^x•7^x, (7•7)^x, 7^2x
Step-by-step explanation:
Just took it, the other one is wrong
the equation 5 x + 22y=220 represents the number of sheets of drywall x and sheets of plywood y that can be bought with 220 if no sheets of plywood are bought,how many sheets of drywall can be bought with 220
If no sheets of plywood are bought and 220 units of currency are available, it is possible to buy 44 sheets of drywall.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the equation 5 x + 22y=220 represents the number of sheets of drywall x and sheets of plywood y that can be bought with 220
If no sheets of plywood are bought, the equation 5x + 22y = 220 simplifies to 5x = 220, since 22y = 0 when y = 0.
We can isolate x on one side of the equation by dividing both sides by 5:
5x = 220
Divide both sides by 5.
x = 220/5
Divide numerator and denominator by five.
x = 44
Therefore, if no sheets of plywood are bought and 220 units of currency are available, it is possible to buy 44 sheets of drywall.
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A popular video game retailer develops apps. The total profit, in dollars per day, after x days can be modeled by the function R(x) = 3x3 – 21x2 + 21x + 45. The total cost, in dollars per day, after x days, can be modeled by the function A(x) = x2 – 2x – 3. After how many days does the retailer start making money?
The difference between the cost and revenue functions is the profit function.
The retailer will start making money after 3 days.
Given that:
\(R(x) = 3x^3\:-\:21x^2\:+\:21x\:+\:45\)
\(A(x) = x^2 - 2x - 3\)
The retailer will start making money when R(x) > 0 i.e. when the profit is greater than 0.
So, we have:
\(3x^3 - 21x^2 + 21x + 45 > 0\)
Factor out 3
\(3(x^3 - 7x^2 +7x + 15) > 0\)
Divide through by 3
\(x^3 - 7x^2 +7x + 15 > 0\)
Expand
\(x^3 - 8x^2 + 15x + x^2 - 8x + 15 > 0\)
Further expand
\(x^3 - 5x^2 - 3x^2 + 15x + x^2 - 5x - 3x + 15 > 0\)
Factorize
\(x^2(x - 5) - 3x(x - 5) + x(x - 5) - 3(x -5) > 0\)
Factor out the common factors
\((x^2 - 3x)(x - 5) + (x - 3)(x - 5) > 0\)
Factor out x
\(x(x - 3)(x - 5) + (x - 3)(x - 5) > 0\)
Factor out (x - 3)(x - 5)
\((x - 3)(x - 5)(x + 1) > 0\)
Split
\(x - 3> 0\) or \(x - 5> 0\) or \(x + 1 > 0\)
Solve for x
\(x > 3\) or \(x > 5\) or \(x > -1\)
x cannot be negative.So:
\(x > 3\) or \(x > 5\)
Because 3 is less than 5, then the reasonable solution to the set is:
\(x > 3\)
Hence, the retailer will start making money after 3 days.
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Can someone help me please and thank you
Answer:
C right on A P E X
Step-by-step explanation:
I checked it and it’s right hope this helps!
Answer:
The answer is B.30
Step-by-step explanation:
sorry if i get this wrong, and was it multiple choice by any chance cuz it kinda looks like it. But i'll still go with B.
what is the unit rate for each size of peanut butter regular size $per. oz. regular size 16 oz price 3.36
You see in the table given in the exercise, that a Regular size of peanut butter has 16 ounces and it costs $3.36.
In order to calculate the unit rate of this regular size, you must divide $3.36 by 16 ounces.
Let be "r" the unit rate for the Regular size. This is:
\(\begin{gathered} r=\frac{3.36dollars}{16ounces} \\ \\ r=0.21\frac{dollars}{ounce} \end{gathered}\)According to the table, the Family size has 40 ounces and it costs $7.60.
Let be "f" the the unit rate for the Family size.
Dividing $7.60 by 40 ounce, you get that the value of "f" is the following:
\(\begin{gathered} f=\frac{7.60dollars}{40ounces} \\ \\ f=0.19\frac{dollars}{ounce} \end{gathered}\)Based on the results obtained, you can determine that Family size is the better buy.
The answers are
Regular: $0.21 dollars per ounce.
Family size: $0.19 dollars per ounce.
Family size is the better buy.
a researcher calculated that the total sum of squares for a regression equation was 153.7, and the error sum of squares was 82.6. what is the proportionate reduction in error for knowing the value of the independent variable?
The proportionate reduction in error for knowing the value of the independent variable is 0.54.
What is independent variable ?The variable which does not depend on any variable and hence independent are known as independent variable.
Given that,
sum of squares for a regression equation was 153.7 = SST
error sum of squares was 82.6 = SSE
SS (reg) = SST - SSE
153.7 - 82.6
SS(reg) = 71.1
The proportionate reduction in error for knowing the value of the independent.
= 1 - \(\frac{(SS)reg}{SST}\)
= 1 - \(\frac{71.1}{153.7}\)
= 1 - 0.46
= 0.54
The proportionate reduction in error for knowing the value of the independent variable is 0.54.
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Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings
Answer:
Step-by-step explanation:
110.75=10.5h-16