The amount of work done when a load of 50 newton is lifted through a distance of 6m is 300 joules.
What is the amount of work done in lifting the load?Work done is simply the energy transfer that takes place when an object is either pushed or pulled over a distance by an external force.
It is expressed as;
Work done = force × distance
Given the data in the question;
Force applied = 50N = 50kgm/s²Distance covered = 6mWork done = ?To determine the work done, plug the given values into the above formula and solve W.
Work done = force × distance
Work done = 50kgm/s² × 6m
Work done = 50kgm²/s² × 6
Work done = 300kgm²/s²
Work done = 300J
Therefore, 300 joules is the work done in lifting the load.
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DATA ANALYSIS AND STATISTICSComputations from a circle graphThe circle graph shows how the annual budget for a company is divided by department. If the amount budgeted for Sales, Support, and Editorial combined is$62,500,000, what is the total annual budget?
The percent of the budget that is destined for sales is 19%, the percent for support is 28% and the percent for editorial is 3%. All together, they represent the 50% of the total budget. That 50% is equivalent to $62,500,000, to find the total annual budget divide this amount by the percent that it represents (in decimal form which is 0.5):
[tex]\frac{62500000}{0.5}=125000000[/tex]The total annual budget is $125,000,000.
A bond with a face value of $5,000 has a current yield of 7% and a coupon rate of 8%, what is the bonds yield?
Using it's formula, it is found that the bond's yield with a face value of $5,000, yield of 7% and rate of 8%, is of 7.48%.
How to calculate the bond's yield?The bond's yield is given according to the following formula:
Yield = Annual Coupon Payment/Bond Price
These values are calculated considering the face value, the current yield and the coupon rate, all parameters which are given in this problem.
The Annual Coupon Payment is given by the multiplication of the face value and the Coupon Rate, hence:
Annual Coupon Payment = 5000 x 0.08 = $400.
The bond price is the given by the multiplication of the face value and 100% plus the yield, hence:
Bond Price = 5000 x 1.07 = $5350.
Then the bond's yield is given as follows, applying the formula:
Yield = 400/5350 = 0.0748 = 7.48%.
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If the sales tax for the city of Los Angeles is 9.75%, how much tax would you pay for an itemthat costs $200.00?Type your answer...
To find the final cost of the sales tax you need to:calculate the tax
As the sales tax is 9.75% you calculate the 9.75% of $200.00
[tex]200.00\cdot\frac{9.75}{100}=19.5[/tex]Then, the sales tax of a item that cost $200.00 is $19.5. You pay $19.5 in tax for a item that cost $200.00HURRY The real root of the equation x3 – 7x2 + 15x – 25 = 0 is 5. What are the nonreal roots?
–4i, 4i
2 – 4i, 2 + 4i
1 + 2i, 1 – 2i
–16i, 16i
The non real roots of the polynomial x³ – 7x² + 15x – 25 = 0 are; 1 + 2i, 1 – 2i
What is the non - real root?
Non real roots are simply imaginary roots.
We are told that the real roots of the equation x³ – 7x² + 15x – 25 = 0 is 5.
Now, it means that (x - 5) is a factor of the given polynomial. Thus, we can factorize the polynomial as;
(x - 5)(x² - 2x + 5) = 0
Now, to find the non - real roots, we will use quadratic formula on (x² - 2x + 5) to get;
x = [-(-2) ± √((-2)² - (4 * 1 * 5))]/2(1)
x = (2 ± √(-16))/2
x = 1 ± 2i
x = 1 + 2i, 1 – 2i
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Answer:
c
Step-by-step explanation:
Yolanda watched a video for 3/8 minutes For how long did she watch videos in all? Write your answer as a fraction in simplest form. minutes. She watched another video for 1/8 minutes.
In mathematics, time is characterized as a continuing and continuous series of events that take place one after another, from the past through the present and into the future.
Yolanda watched videos for 1/2 minute in all.
How to calculate the watch time?Time can be viewed as an ongoing and continuous series of related events that take place one after another, from the past through the present and into the future, in mathematics.
Time is used to sequence events as well as to quantify, measure, and compare the length of occurrences or the gaps between them.
Given,
Yolanda watched a video for 3/8 minutes.
She watched another video for 1/8 minute.
Solution:
Total video watch hour = 3/8 + 1/8
Total video watch hour = 4/8
On simplifying we get,
Total video watch hour = 1/2 minutes
Yolanda watched videos for 1/2 minute in all.
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Please I need help and show answer
The graph of f(x)=6.5x is reflected about the y -axis and stretched vertically by a factor of 7 . What is the equation of the new function, g(x) ? State its y -intercept, domain, and range.
When the function f is transformed to g, the equation is -45.5x
The domain is -∝ < x < ∝The range is -∝ < y < ∝The y-intercept = 0How to determine the equation of function g?The equation of function f is given as
f(x) = 6.5x
The transformation is given as
Reflection about the y-axisVertical stretch by a factor of 7The above transformation rule can be represented as
(x, y) = (-x, 7y)
When the above rule is applied, we have the following equation
g(x) = -7f(-x)
So, we have
g(x) = -7 * 6.5x
Evaluate
g(x) = -45.5x
The above equation is a linear function
So, the domain and the range are the set of all real values and the y-intercept is 0
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Is it right?????????
The means are the same and the standard deviations are different.
There are two lists given for which the means and the standard deviations need to be compared. So we first find the mean and standard deviation of each list one-by-one using the formulas,
Mean = (1/n)∑x
Variance = [(1/n)∑x²]- mean²
Standard deviation = √variance
List A
x: 1 2 3 4 5 6
x²: 1 4 9 16 25 36
n = 6
Mean = (1/6)[1+2+3+4+5+6] = 21/6 = 3.5
Variance = 1/6[1+4+9+16+25+36] - 3.5² = 15.167-12.25 = 2.917
Standard deviation = √2.917 = 1.71
List B
x: 2 3 3 4 4 5
x²: 4 9 9 16 16 25
Mean = 1/6(2+3+3+4+4+5) = 21/6 = 3.5
Variance = 1/6(4+9+9+16+16+25)-3.5² = 13.167 - 12.25 = 0.917
Standard deviation = √0.917 = 0.9576
Hence the means are the same and the standard deviations are different.
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Write an
equation in standard form for the line that passes through the given points.
(6, - 6) and (6, -4)
Answer:
x = 6
Step-by-step explanation:
(6, -6), (6, -4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -4 - (-6) -4 + 6 2
m = ------------ = ------------ = ------------ = ------- = undefined
x₂ - x₁ 6 - 6 0 0
x = 6
I hope this helps!
What is the precise definition of a limit in calculus?
Step 1
Given; What is the precise definition of a limit in calculus?
The required definition is;
Answer;
Let f be a function defined on some open interval containing a (except possibly at a).
Then the limit as x approaches a of f is L written as;
[tex]\lim_{x\to a}f(x)=L[/tex]if and only if
Find the area of the region that is bounded above by the curve f(x)=(x+3)2 and the line g(x)=−x−1 and bounded below by the x-axis.
By definite integrals, we find that the area of the region bounded by the functions f(x) and g(x) described in the statement is equal to 4.5 units.
How to determine the area of the region bounded by two curvesIn this problem we must determine the area between two functions, a quadratic equation f(x) and a linear equation g(x).
First, we need to determine the limits of the interval of x-values with the help of a graphing tool, represented by the points of intersection of the two functions.
The points of intersection of the two functions are (x₁, y₁) = (- 5, 4) and (x₂, y₂) = (- 2, 1), respectively. Then, the area is defined by the following definite integral:
[tex]I = \int\limits^{-2}_{-5} {[g(x) - f(x)]} \, dx[/tex]
[tex]I = \int\limits^{-2}_{- 5} {[(- x - 1) - (x + 3)^{2}]} \, dx[/tex]
[tex]I = - \frac{1}{2} \cdot [(- 2)^{2} - (- 5)^{2}] - [(- 2) - (- 5)] - (1 / 3) \cdot [(- 2 + 3)^{3} - (- 5 + 3)^{3}][/tex]
I = - (1 / 2) · (4 - 25) - 3 - (1 / 3) · (1 + 8)
I = - (1 / 2) · (- 21) - 3 - (1 / 3) · 9
I = 21 / 2 - 3 - 3
I = 21 / 2 - 6
I = 21 / 2 - 12 / 2
I = 9 / 2
I = 4.5
The area of the region represented by the definite integral introduced above is equal to 4.5 units.
RemarkThe statement leads to a contradiction. Correct form is presented below:
Find the area of the region that is bounded above by the curve f(x) = (x + 3)² and the line g(x) = - x - 1 and bound above the x-axis.
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Solve for x.
Z = блху
О
Z = x
бл
x = -
блуг
Z = x
блу
= x
Answer
2
Step-by-step explanation:
1 + 1 =2
write an equation of the line passing through the point (-20, 4) that is perpendicular to the line 2x+5y=10
Equation of the line passing through the point of (-20, 4) and perpendicular to the line [(2x + 5y) = 10] will be [2y = (5x + 108)].
As per the question statement, a line passes through the point of (-20, 4) and is perpendicular to the line [(2x + 5y) = 10].
We are required to determine the equation of the above-mentioned line.
To solve this question, we need to know about the formula to express the point-slope form of a line, which goes as, [(y - y₁) = m(x - x₁)],
where (x₁, y₁) is a point through which the line passes, and "m" is the slope of the line.
Also, we need to know about the mathematical fact that, the product of the slopes of two perpendicular lines equate to (-1), i.e., if (m₁ and m₂) are the slopes of two perpendicular lines, then [(m₁ * m₂) = (-1)].
Converting [(2x + 5y) = 10] into the point-slope form of line, we get,
(2x + 5y) = 10
or, [5y = {(-2x) + 10}]
or, [y = {(-2/5)x + 2}]
Therefore, Slope of the line [(2x + 5y) = 10] is (-2/5).
Hence, slope of the line perpendicular to [(2x + 5y) = 10] is [-1/(-2/5)], i.e.,
Slope of the line perpendicular to [(2x + 5y) = 10] is (5/2).
Now, using [m = (5/2)] and (x₁, y₁) as (-20, 4), equation of the line will be
[(y - 4) = (5/2){x - (-20)}]
or, [(y - 4) = (5/2)(x + 20)]
or, [(y - 4) = (5/2x) + 50]
or, [2(y - 4) = 5x + 100]
or, [(2y - 8) = (5x + 100)]
or, [2y = (5x + 108)]
Equation of a Line: The equation of line is an algebraic form of representation of the set of points, which together form a line in the cartesian coordinate system, as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.To learn more about Equation of a Line, click on the link below.
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State the z score that is the cutoff for each of the following: a. The top 5% of scores b. The bottom 2.5% of scores c. The top 69.5% of scores d. The top 50% of scores e. The bottom 50% of scores
The z-scores that are the cutoffs are given as follows:
a. z = 1.645.
b. z = -1.96.
c. z = -0.51.
d. z = 0.
e. z = 0.
What is the z-score formula and what does it represent?The z-score of a measure X of a variable that has mean given by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean. From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.For this problem, we have that:
In item a, the cutoff is the 95th percentile, hence z = 1.645, which has a p-value of 0.95.In item b, the cutoff is the 2.5th percentile, hence z = -1.96, which has a p-value of 0.025.In item c, the cutoff is the 30.5th percentile, hence z = -0.51, which has a p-value of 0.305.In item d, the cutoff is the 50th percentile, hence z = 0, which has a p-value of 0.5.In item e, the cutoff is the 50th percentile, hence z = 0, which has a p-value of 0.5.More can be learned about z-scores at https://brainly.com/question/25638875
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Tickets to Disney World are $105. The price is going to increase on January 1. What is the percent of change if the cost increases to a $125?
Answer: Take the help of the Percentage Difference From X to Y Calculator to evaluate the increase/decrease from 105 to 125 is 19.0476% on dividing the absolute value with the average value and multiplied by 100.
Step-by-step explanation:
Hope Fully this helps you
I will give brainliest, like and rating if u solve this right
Which of the following statements is true?
Answer:
Step-by-step explanation:
c lol
how many hours are in 2400 minutes (with division answer plsss)
Answer:
40
Step-by-step explanation:
2400 divided by 60 is 40
I hope this helps!
A list of fixed fees for services recorded on the encounter form is called the
A list of fixed fees for services recorded on the encounter form is called the Superbills.
The purpose of encounter forms, often referred to as super bills, is to "document services performed by recording the diagnostic and procedure codes, which serve as the foundation for billing and receipt of payment for services." Every time a patient or customer receives a service, the provider records that service, often into medical claims software that may automate much of the subsequent procedure.
This technique entails coding (procedure codes and, if necessary, diagnostic codes), billing/invoicing, and/or transmission to the patient's or client's insurance provider. For the client's health and treatment plans as well as for proper billing, it is crucial to make sure that the appropriate information is documented. This is why encounter forms are such a crucial component of healthcare.
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Byron jogs home from a park at an average speed of 6mi / h After half an hour he is 4 miles from home . What is an equation , in point - slope form, that represents Byron's distance from home , y, after hours?
A. y-6=-4(x-1/2)
B. y-4=-6(x-1/2)
C. y-1/2=-6(x-4)
D. y-4=6(x+1/2)
An equation, in point-slope form, that represents Byron's distance from home, y, after hours is: B. y - 4 = 6(x - 1/2).
What is the point-slope form?The point-slope form can be defined as an equation which is used when the slope of a line and one of the points on this line is known.
Mathematically, the point-slope form of a line is given by this equation:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.Given the following data:
Average speed (slope), m = 6 mi/h.
Point, y = 4.
Point, x = 1/2
Substituting the given parameters into the formula, we have;
y - y₁ = m(x - x₁)
y - 4 = 6(x - 1/2)
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what is the equation of the line that passes through the point (6,-5) and has a slope of -1/6
The equation of the line that passes through the point (6,-5) and has a slope of -1/6 is y = (-1/6)x - 4.
We know that, the slope intercept form of a line is given by:-
y = mx + c
Where,
m represents the slope of the line,
c represents the y -intercept and,
(x,y) represent the coordinates of each of the ordered pairs in the line
Hence, we can write,
m = -1/6
One of the ordered pairs, (x,y) is (6,-5).
Hence, we can write,
-5 = (-1/6)*6 + c
-5 = -1 + c
c = -5 + 1
c = - 4
Hence, the equation of the line is given by:-
y = (-1/6)x - 4
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IS the problem a function or no
Answer:
I think it is a function???
Step-by-step explanation:
Because a graph represents a function if it impossible to draw a vertical line that intersects the graph more than once.
I'm not sure if I'm correct, let me know please.
HELP IF U CAN ILL GIVE BRAINLIESt AND 20 POINTS SHOW UR WORK!!!!
Answer:EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
3 QUESTIONS 100 POINTS WILL GIVE BRAINLYEST
Answer: a
Step-by-step explanation:
because 140 squared = 200x=48/4
Need help with this please
Answer:
angle A: 75 degrees
Step-by-step explanation:
because m and n are both 180 degree angles so when you do 180-105 you get 75
a,d,e,h=105 degrees
b,c,f,g= 75
because 105+75=180
Need help solving this question
Given the point:
(-1, 4)
Let's find the equation of the line that passes through the point and is perpendicular to the line x = -4.
Here, the given line x = -4 is a vertical line that is always at x = -4.
The slope of a vertical line is undefined.
Since x = -4 is a vertical line it means the slope is undefined.
The slope of a line perpendicular to a vertical line is always zero.
Also, the line perpendicular to a vertical line must be a horizontal line.
Therefore, since the perpendincular line passes the point (-1, 4), it means the line will be:
y = 4
hereforem, the equation of the line that passes through the point (-1, 4) and is perpendicular to the line x = -4 is:
y = 4
ANSWER:
y = 4
Pls help need asap
Which of the following graphs represent and even function?
The first and second graphs represent even function.
What is an even function?If f of x is equal to f of −x for all the values of x, then it is called Function. This implies that function is same for the positive x-axis and the negative x-axis. Trigonometric even function, and secant function are some of the examples of even function.
Following are the properties of an even function:
Sum of two even functions is also even.Difference of two even functions is also even.Product of two even functions is always even.Quotient of the division of two even functions is always even.Composition of two even functions is also even.And composition of an even and odd function is also even.As the graph of first and second is symmetric about the y axis, therefore both represent even functions.
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An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has
1/4
length in. and width 1/6 in. The actual tiles have length 1/6 ft and width 1/9 ft. What is the ratio of the length of a tile in the
model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use
pencil and paper. Describe two ways to find each ratio.
The ratio is 1:8 and 1:64
Since each tile is one sixth of an inch in width and one fourth of an inch in length.
That is L1= 1/4 in addition to W1= 1/6 inches.
The real tiles are one sixth of a foot long and one tenth of a foot wide.
Since 1 foot equals 12 inches, that is in inches and inches. that is L2=2 and W2= 4/3
So, the length of the tile divided by its real length is equal to L1/L2
=(1/4)/2= 1/8
In addition, the relationship between the area of the tile in the model and the real area is given by:
(1/4 x 1/6)/ 2 x 4/3
= 1/64
Second method
Since there is a 1/8 ratio between the width of the model's tiles and their real width
As a result, there is dilatation with a scale factor of 1/8.
By virtue of dilatation, their area ratio = (1/8)^2 =1/64.
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Hailey is making floral cen
terpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project. She estimates that she can make between 20 and 30 complete centerpieces. Is her estimate reasonable?
Answer:
Yes.
Step-by-step explanation:
Divide 430/17 and you get around 25, signifying the correct answer is right in the middle of Hailey's estimation.
Constructed Response. Be sure to answer all parts of the constructed response.1. A baton twirler releases a baton at a height of 5 feet above the ground with the initial velocity of30 feet per second. The height of the baton t seconds after it is thrown is given by the function,h(t) = -16t2 + 30t + 5, where h(t) is the height of the baton in feet.a.) How high is the baton after 1.5 seconds? Round your answer to the nearest hundredth, ifapplicable.b.) What is the maximum height of the baton? Round your answer to the nearest hundredth, ifapplicable.c.) How long does it take for the baton to reach its maximum height? Round your answer to thenearest hundredth, if applicable.
Given the equation that
What type of linear equation is X +1 equals X +1?
X+1 depicts horizontal linear equation as x = -1 and slope = 0.
Given that the slope is 0, it shows a horizontal linear equation.
Every point on a horizontal line has the same y-coordinate.
If two points have the same y coordinate, b, then the line's equation is y=b.
The y-intercept of the horizontal line y=b is the point (0,b). The line y=0 is the only x-intercept for horizontal lines.
Horizontal lines have zero slope.
As a result, in the slope-intercept equation y = mx + b, m = 0. The equation is Y = b, where b is the y-coordinate of the y-intercept.
A line that is perpendicular to the x-axis is referred to as a horizontal line.
The graph of a relation of the form x = 5 is a line parallel to the origin since the value of x never changes.
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