The Trigonometric Expression can be written as :
cos⁴ x = 18(3 + 4cos2x + cos4x)
Power:
In mathematics, a power defines a base number raised to an exponent. The base is the factor multiplied by itself, and the exponent is the number of times the same base is multiplied.
Reducing / Lowering Power:
Power identities are trigonometric identities, allowing us to rewrite trigonometric expressions raised to powers in terms of simpler trigonometric expressions.
According to the question:
cos2x = 2cos²x -1
⇒ cos²x = 1/2 (1 + cos2x)
⇒ cos²2x = 1/2 (1 + cos4x)
⇒ cos⁴ x = (cos²x)²
= 1/4(1 + 2cos2x+cos²2x)
⇒ cos⁴ x = 1/4( 1 + 2cos2x + 1/2(1+cos4x))
⇒ cos4x = 1/8(3 + 4cos2x+cos4x)
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please I need help, only complete answers please, if you can do it in that photo the answers would help me a lot please
The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
What is Z-score?
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
Z = (X - μ)/σ
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,
A.) X= 60
z= (60- 70 )/8 = -1.25
B.) X = 71
z = ( 71 -70)/8 = 0.125
C.) X = 92
z= (92 - 70)/8 = 2.25
Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
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What is 1/2 equivalent to as a fraction?; Why are 1/2 and 2/4 called equivalent fractions?; What is 1/3 equivalent to as a fraction?; How do I find the equivalent fraction?
The equivalent fraction of 1/2 is 2/4 and equivalent fraction of 1/3 is 2/6.
Given that,
Why are the fractions 1/2 and 2/4 referred to as identical, and what fractional value does 1/2 equal? What is 1/3's equivalent in fractions
The fractions 2/4, 3/6, 4/8, etc. are identical to 1/2. Reduced fractions of equivalent fractions have the same value. Simply multiplying or dividing both the numerator and the denominator by the same number produces equivalent fractions.
By multiplying the numerator and denominator of each fraction by the same number, we can determine the equivalent fraction for each fraction. For instance, we must multiply 2/3 by 3/3 after determining the third equivalent fraction of 23. Consequently, 2/3 (3/3) = 6/9 is the fraction that equals 2/3.
As a result, the equivalent fractions of 1/2 and 1/3 are 2/4 and 2/6, respectively.
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Zachary bought 3 cartons of x eggs. He used 6 to make a cake. He then used the remaining eggs equally to make 2 pies. Draw a bar model to show how many eggs were used in each pie.
Answer:
Step-by-step explanation:
Evaluate g(x) = 3 - 5/6x when X = 12.
Answer:
g(12) = -7
Step-by-step explanation:
g(x) = 3 - 5/6x
g(x) = 3 - 5x/6
g(12) = 3 - 5(12)/6 ==> plug in 12 for x
g(12) = 3 - 5*12/6
g(12) = 3 - 60/6 ==> simplify
g(12) = 3 - 10
g(12) = -7
Answer:
-7
Step-by-step explanation:
g(12) = 3 - [tex]\frac{5}{6}[/tex](12)
g(12) = 3 -10
g(x) = -7
the graph below shows two different types of plans published by a cell phone company. ryan claims that the cost of plan a and plan b differ a lot. which statement best explains why ryan was misled by the graph? a.) the scale of intervals on the horizontal axis is inconsistent. b.) the graph of plan a shows a gradual increase in price. c.) the graph of plan b shows a rapid increase in price. d.) the scale of intervals on the vertical axis is inconsistent.
Answer:
d.) the scale of intervals on the vertical axis is inconsistent.
Step-by-step explanation:
Its Kumon So It Is Very Easy.
Answer: It's kumon?
Step-by-step explanation:
Resources that are available in limited quantities on the earth are called ___________
Resources that are available in limited quantities on the earth are called Exhaustible resources.
The resources which are present in limited amounts are referred to as exhaustible resources. These resources can be consumed and end someday and are also termed non-renewable resources.
Exhaustible natural resources are available in a limited quantity and cannot be replaced within a reasonable period of time and have the risk of being exhausted by human activities. Such Resources take millions of years to form.
Exhaustible resources are usually not environmentally friendly since they are improperly and inefficiently used and are generally very expensive.
Coal, petroleum, and Forests are examples of exhaustible natural resources.
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>) Solve:
1) 7 millions
thousands
hundred
Answer:
70
Step-by-step explanation:
1 million = 10 hundred thousands because 100,000 x 10 = 1,000,000
You planted 60 seeds seeds.80% actually grow. how many seeds grew? To word it another way, what is the amount of seeds that grew if 80% of 60% seeds grew?
Answer:
48
Step-by-step explanation:
0.8 * 60 = 48
Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries. What is the ratio of tablespoons of raspberries to tablespoons of sugar?
8 to 14
8 to 6
6 to 14
6 to 8
The ratio of tablespoons of raspberries to tablespoons of sugar should be considered as the 8 to 6.
What is ratio?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
Calculation of the ratio:
Since Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries.
So here the ration be like
= 8 raspberries tablespoons to 6 tablespoons of sugar
= 8 to 6
hence, the second option is correct.
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the chi-square test for goodness of fit tests the difference between categories that fall within , and the test for independence tests differences in categories that fall within .
The chi-square test for independence compares the two variables within a sample set to one another, instead of comparing the single observed variable into the theoretical population.
The chi-square takes a statistical look in order to compare the found consequences of the with that of the familiar outcomes. The main goal of this test is to take a statistical view in order to make a distinction between the observed records and the expected facts, is due to the risk present, or if it's miles because of courting the variables that you are studying.
A chi-square test is used to measure the degree of variation between the frequencies which are determined and the expected frequencies according to the hard and fast rules of variables and occasions. Chi-rectangular is used to measure the differences of the nominal variables.
The term, 'independence' refers to the individual's own freedom of doing things, without being affected by other's opinions. As and when, a small child grows up to an adult, he/she tends to make their own decisions and selections. This is one of the example of independence. Realizing the importance of independence is crucial as the people of the nation are its most important assets. The way in which the founders of India has reunited the country into a single state, the same, if followed in USA, this would relieve the country from the chains of caste, sex, religion and exploitation.
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at a certain university, students who live in the dormitories eat at a common dining hall. recently, some students have been complaining about the quality of the food served there. the dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. one evening, the manager asked the first 100 students entering the dining hall to answer the following question. Many students believe that the food served in the dining hall needs improvement Do you think that the quality of food served here needs improvement; even though that would increase the cost of the meal plan? Yes No No opinion a) What is the population of interest? What is the population parameter of interest (that is, what number are you trying to estimate)? b) What sampling plan did the manager use to collect his data? c) In this setting; explain how bias may have been introduced based on the way this sample was selected. That is, explain how those chosen for the sample may be different from those who were not chosen with respect to their answers to the question being asked in the survey: d) How might the sample be selected differently to avoid the bias discussed in part c)? Use one of the methods from the Random Rectangle Activity: In this setting, explain how bias may have been introduced based on the way the question was worded_ That is, explain how the wording of the question might lead toward a specific answer 0 Give an alternative wording to the research question that will avoid the bias discussed in part e)?
To avoid bias - increase the sample size and take reviews randomly
The dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. one evening, the manager asked the first 100 students entering the dining hall
There is a bias if taken data contain only the first 100 students, primary reasons students come in a friend circle to the dining hall, possibly that whole friend circle did/ didn't like food. Chances are the first hundred students like the food and the remaining students don't like, vice - versa.
To avoid bias - increase the sample size and take reviews randomly
Therefore, the manager should increase the sample size and take reviews randomly to avoid sampling bias.
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Molly bought 4 band shirts and 3 pair of pants for 159.99 Christian bought 3 band shirts and 2 pair of pants for 113.00. How much is 5 band shirts and 5 pair of pants
Total $234.95 is the cost of 5 band shirts and 5 pair of pants.
What is the system of equation?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given, Molly bought 4 band shirts and 3 pair of pants for $159.99.
And Christian bought 3 band shirts and 2 pair of pants for $113.00.
Let x be the band shirts and y be the pair of pants.
So, according to the question;
4x + 3y = 159.99 equation 1
3x + 2y = 113 equation 2
Now, we have the system of the equations.
In order to solve the system of equations:
Multiply 4 to the equation 2 and multiply 3 to the equation 2.
12x + 9y = 479.97
12x + 8y = 452
Subtracting the transformed equation 2 to transformed equation 1.
y = 27.97
Then 12x = 479.97 - 251.73
12x = 228.24
x = 228.24 / 12
x = 19.02.
To find the amount of 5 band shirts and 5 pair of pants:
5x + 5y
= 5 (19.02) + 5(27.97)
= 95.1 + 139.85
= 234.95
Therefore, 5 band shirts and 5 pair of pants cost $234.95.
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Current Attempt in Progress For a process in control, we expect % of the points on a process control chart to fall within the UCL and the LCL e Textbook and Media 0.27 95 Save for Later Attempts: 0 of 3 used Subm 99.73 100
The correct answer is (B) 99.73%..
For a process in control, we expect 99.73% of the points on a process control chart to fall within the upper control limit (UCL) and the lower control limit (LCL).
A process control chart is a tool used in statistics and quality control to monitor and analyze a process over time. It consists of a line graph that plots the measured values of a process variable, such as the temperature or weight of a product, over time. The UCL and LCL are horizontal lines that are drawn on the graph at a predetermined distance above and below the average value of the process variable.
The expected percentage of points within the UCL and LCL is determined by the chosen level of statistical significance and the distribution of the process variable. In this case, the expected percentage of points within the UCL and LCL is 99.73%.
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Complete Question:
For process in control, we expect Pfo of the points on process control chart to fall within the UCL and the LCL:
A)0.27
B)99.73
C)100
On January 1, a nasty species of algae is mistakenly introduced into Lake Skinner. It grows in such a way that it doubles every day. If it continues to grow like this, the lake will be totally covered and the fish in the lake will suffocate. At the rate it is growing, this will happen on January 30.
1). When will Lake Skinner be covered halfway?
2). On January 26, you convince your friend that the lake will be completely covered soon. Your friend laughs. Why is your friend skeptical?
3). One January 29 a cleanup crew arrives and is able to remove most of the algae. When they are done on February 1, only 1 % of the surface is covered. How well does this solve the problem in Lake Skinner?
Answer: If the algae in Lake Skinner doubles every day, then on the 15th day (halfway between the 1st and 30th) the lake will be covered halfway.
If the algae doubles every day, then on January 26 it would have only doubled six times, meaning it would only cover 1/64 of the lake's surface. This is why your friend may be skeptical that the lake will be completely covered soon.
The cleanup crew's efforts on January 29 were able to remove most of the algae, but by February 1 only 1% of the lake's surface was still covered. This means that while the problem has been greatly reduced, it is not completely solved and there may still be some risks to the fish in the lake. Continued monitoring and efforts to prevent future algae blooms may be necessary to fully protect Lake Skinner.
Step-by-step explanation:
a grocery store is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts. a random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box. the sample results are given below. brand a brand b mean
Therefore ,Based on this sample, of 90% confidence interval that Hot'n Now doughnuts will remain fresher for an additional 1.1 to 2.4 days than Sugar Yum doughnuts.
What is confidence interval ?An estimation range for an unknowable parameter is referred to as a confidence interval in frequentist statistics. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals.
Here,
Given: random sample of 100 boxes of each brand
The difference of the means,μhn−μsy had a 90% confidence interval that was calculated as follows: (1.1,2.4).
Therefore,
Based on this sample, we are 90% confidence interval that Hot'n Now doughnuts will remain fresher for an additional 1.1 to 2.4 days than Sugar Yum doughnuts.
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rewrite the sentence adding a nonrestrictive element. using commas Mr. Powel told us we have a geometry test next week
Mr. Powel, who is our geometry teacher, told us we have a geometry test next week.
What is non-restrictive element?A nonrestrictive element is an element of a sentence that is not necessary for understanding the basic meaning of the sentence, but instead provides additional information. Nonrestrictive elements are usually set off with commas, while restrictive elements are not. For example, “My brother, who is an engineer, works in Chicago” is a sentence with a nonrestrictive element. The nonrestrictive element (“who is an engineer”) provides additional information about the brother, but does not provide any information about which brother is being referred to. The restrictive element “My brother who works in Chicago” does provide information about which brother is being referred to.
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A concentric square and circle intersect at 8 point. In clockwise order, call these points A1,A2,3......A8. The area of A1, A3,A5, A7is 5/8. find A2, A6
A concentric square and circle intersect at 8 points. the area of A2, A6 is (3/4)s²
How to determine the area of A2, A6?Generally, let's call the side length of the square s and the radius of the circle r.
We can set up the following equation:
(s/2)² + (r/2)² = (5/8) * s²
We can rearrange this equation to solve for r:
(r/2)² = (5/8)s² - (s/2)²
Evaluate the exponents
This gives
r²/4 = 5/8s² - s²/4
Multiply through by 4
So, we have
r² = 5/2s² - s²
Evaluate the like terms
This gives
r² = 3/2s²
Take the square roots of both sides
So, we have
r = s√(3/2)
Since A1, A3, A5, and A7 are the vertices of the square, the area of this region is (s/2)²,
When expanded, this gives
Area = 1/4s².
The area of A2, A6 can be found by subtracting the area of A1, A3, A5, and A7 from the area of the entire square.
This gives us:
A2, A6 = s² - (1/4)s²
Evaluate
A2, A6 = (3/4)s²
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A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. The 95% confidence interval for p is 0.59 ± 0.07. Interpret this interval.
Select one:
a. 95% of the students receive between 52% and 66% of their tuition in financial aid.
b. We are 95% confident that 59% of the students are on some sort of financial aid.
c. We are 95% confident that between 52% and 66% of the sampled students receive some sort of financial aid.
d. We are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66.
Confidence interval for 'p' 0.59 ± 0.07 interprets the we are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66.
A confidence interval is a type of interval calculation, obtained from observed data, that contains the true value of an unknown parameter.
It is associated with a confidence level that quantifies the confidence level at which the interval estimates the deterministic parameter.Also it is a term that defines a range of values with the probability to contain a population value that has an actual degree of confidence.This is represented in a situation where population means falls in between upper and lower intervals.Hence, in this case, the correct interpretation is option D: We are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66
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What is 150% of 32?
Answer: 48
Step-by-step explanation:
[tex]\displaystyle\\\frac{32(150\%)}{100\%} =\\\\\frac{4800}{100}= \\\\48[/tex]
Answer:
48
Step-by-step explanation:
150% = 150/100 = 1.5
Then:
32 * 1.5 = 48
in the transformation abc a'b'c', the preimage of b' is ____. type the answer in the space provided.; point v(-2, 4) is translated using the rule (x, y) โ (x, y โ 4). where is the image, vโ, located?; point w 5 6 is reflected across the line y x which of the following is the location of its image w; pre- image x 2 1 y 4,-3 z 3,2 image x 2 1 y 4,-3 z 3,2; isometry; transformations in math
In the transformation of triangle abc, the pre-image of b' is b.
It's a triangle denoted as abc. abc is changed so that the resulting image is a'b'c''. It should be noted that there are many other forms of transformations, including dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.
Corresponding vertices will be matched in all transformations. In other words, a will change to a'', b to b', and c to c''. Preimage of b' would just be b itself due to the transformation's ability to maintain image similarity and convert vertices appropriately.
Note that the correct question is:
In the transformation ABC A'B'C', the preimage of B' is ____.
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If I earn 100% more than you, then you must earn 50% less than me
The change in temperature after y minutes for a chemical in a lab can be represented by the expression −4(y − 3). Which other expression can be used to represent the change?
Other expression can be used to represent the change in temperature after y minutes is -4y + 12.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
The distributive property is a( b + c) = ab + ac.
Given expression that represents the change in temperature after y minutes for a chemical in a lab can be represented by the expression −4(y − 3).
Given expression is
-4(y - 3)
Applying distributive property:
= -4 × y - (-4)×3
= -4y + 12
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For the functions f(t) = 5t and g(t) = sin(t) defined on 0≤t<[infinity], compute f * g in two different ways.a. By directly evaluating the integral in the definition of f * g.b. By computing L−1{F(s)G(s)} where F(s)=L{f(t)} and G(s)=L{g(t)}.
The laplace inverse transformation L−1{F(s)G(s)} = 5 [tex]\frac{2s}{s^{2} + 1^{2} }[/tex]
If L{f(t)} = F(s), then the inverse Laplace transform of F(s) is
L−1{F(s)} = f(t). (1)
The inverse transform L−1is a linear operator:
L−1{F(s) + G(s)} = L−1{F(s)} + L−1{G(s)}, (2)
andL−1{cF(s)} = cL−1{F(s)}, (3)
for any constant c
given functions are
f(t) =5t ,g(t) = sin(t)
L(f(t)) = F(s)
L{F(s)*G(s)} = L^-1{5tsin(t)}
=5L^-1{tsin(t)}
=5L^-1{[tex]\frac{d}{ds}[/tex] tsin(t)}
= 5 [tex]\frac{2s}{s^{2} + 1^{2} }[/tex]
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Assume that a normal distribution of data has a mean of 19 and a standard deviation of 5. Use the 68-95-99. 7 rule to find the percentage of values that lie about 29.What percentage of values lie above 29?___% (Type an integer or a decimal.)
2.5% of values will lie above 29.
What is normal distribution?
A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
The 68-95-99.7 rule is an illustration of how those many percentage of values lie in between mean +/- 1, 2, and 3 standard deviations respectively.
For values to lie above 29, their z value comes out to be
(29-19) / 5 = 10/5 = 2
(Note: z value means how many standard deviations above the mean)
Thus for a z value = 2 (which 29 is in this problem) the percentage of values that lie between mean +/- 2*(standard deviation) is 95 (as stated by the 68-95-99.7 rule).
Thus only 5% values wont lie between mean +/-2 standard deviations.
So 5% values wont lie between 29 (z value=2) and 9 (z value=-2).
Since normal curve is symmetric, half of the values of the 5% will lie above 29 and the rest half will lie below 9.
So 50% of 5 % which is 2.5% of values will lie above 29.
Hence, 2.5% of values will lie above 29.
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Refer to the SENIC data set in Appendix C.1. Length of stay (Y) is to be predicted, and the pool of potential predictor variables includes all other variables in the data set except medical school affiliation and region. It is believed that a model with logio Y as the response variable and the predictor variables in first-order terms with no interaction terms will be appropriate. Consider cases 57–113 to constitute the model-building data set to be used for the following analyses. a Prepare separate dot plots for each of the predictor variables. Are there any noteworthy features in these plots? Comment b. Obtain the scatter plot matrix. Also obtain the correlation matrix of the X varjables. Is there evidence of strong linear pairwise associations among the predictor variables here? c. Obtain the three best subsets according to the Cp criterion, Which of these subset models appears to have the smallest bias?
We make distinct dot plots for every predictor variable.
x₂=6.3368+0.7604×x₄
x₂=6.67+0.04×x₆
x₂=7.718+0.04×x₁₂
Given that,
Refer to Appendix C.1's SENIC data collection. All additional variables in the data set, with the exception of medical school affiliation and area, are included in the list of potential predictor variables for length of stay (Y). It is anticipated that the best model will have logio Y as the response variable, first-order terms for the predictor variables, and no interaction terms. Take examples 57–113 into consideration as the model-building data set for the subsequent studies.
We have to make distinct dot plots for every predictor variable. Do these storylines have any significant elements.
We know that,
Average length of stay = x₂
Infection risk = x₄
X-ray ratio = x₆
Available Services = x₁₂
57–113 into consideration as the model-building data set for the subsequent studies.
By using, regression equation for x₂ as dependent variable and regression equation for x₄ as independent variable..
Then,
x₂=6.3368+0.7604×x₄
x₂=6.67+0.04×x₆
x₂=7.718+0.04×x₁₂
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b. How much force is needed to push it up the incline (neglect friction)?
answer to the question is 250 newtons
the answer is actually 200 newtons
Which of the following is a polygon answer? give reason
POLYGON
A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit.
TYPES OF POLYGON
Triangle- Has 3 sidesQuadrilateral- Has 4 sidesPentagon-Has 5 sidesHexagon- Has 6 sidesHeptagon-Has 7 sidesOctagon-Has 8 sidesNonagon-Has 9 sidesDecagon-Has 10 sides8Learn more about Polygons at :
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In a traditional IRA account, a
$1000.00 investment is taxed at 12%.
In a Roth IRA account, the $1000.00
investment is taxed at 10%. Which
plan reduces the overall tax burden?
A. The Traditional will reduce the tax burden because it's applied at a
higher percentage.
B. Both tax burdens will come out the same since both tax
calculations start with a $1000.00 account.
C. The Roth IRA reduces the tax burden because its taxes are
calculated in a lower bracket.
D. The Traditional IRA reduces the tax burden because its taxes are
calculated in a lower bracket.
C. The Roth IRA reduces the tax burden because its taxes are calculated in a lower bracket.
In a traditional IRA, contributions may be tax-deductible in the year they are made, but withdrawals in retirement are taxed as ordinary income. This means that the $1000.00 investment in a traditional IRA would be taxed at the investor's ordinary income tax rate when it is withdrawn in retirement. If the investor's ordinary income tax rate is 12%, then the tax burden on the $1000.00 investment in a traditional IRA would be $120.00.
In a Roth IRA, contributions are not tax-deductible, but withdrawals in retirement are tax-free. This means that the $1000.00 investment in a Roth IRA would be taxed at the investor's ordinary income tax rate when it is made, but it would not be taxed when it is withdrawn in retirement. If the investor's ordinary income tax rate is 10%, then the tax burden on the $1000.00 investment in a Roth IRA would be $100.00.
Overall, the tax burden on the $1000.00 investment in a Roth IRA is lower than the tax burden on the same investment in a traditional IRA because the taxes on the Roth IRA are calculated in a lower bracket (10% vs 12%).
How much potential energy does a 40 kg rock have if it was on a 10m cliff?
How much potential energy does the same 40 kg rock have if it was on a 5 m cliff?
If you shorten the height of an object, how does this affect its potential energy?
A baby carriage is sitting at the top of a hill that is 21 m high. The carriage with the baby has a mass of 1.5 kg.
A cinder block is sitting on a platform 20 m high. It weighs 7.9 kg. What is the PE?
There is a bell at the top of a tower. The bell weighs 19 kg. If the PE is 8550 J, how high is the tower?
The potential energy of an rock of 40 kg and at a height of 10m is 4000 kgm^2s^2
What is potential energy and its formula?
An object possesses potential energy as a result of its position in relation to other objects. Potential energy is so named because it has the ability to transform into other types of energy, such kinetic energy. the formula for potential energy is mgh where m is the mass, g is the acceleration due to gravity and h is the height of the object.
We are given a rock of mass 40 kg which is at a height of 10m
We substitute the values in the formula to find the potential energy of the rock
Potential energy = m*g*h
Potential energy = [tex]40*10*10[/tex]
Potential energy = 4000 kgm^2s^2
Hence the potential energy of the rock is 4000 kgm^2s^2
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https://brainly.com/question/14427111
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