Answer:
A = x(64 -x)/2x = 32 ft512 ft²Step-by-step explanation:
Given 64 feet of fencing that can be used for three sides of a rectangular enclosure next to a barn wall, you want a function for area in terms of enclosure width, the width that maximizes area, and the maximum area.
(a) FunctionIf we define the width (x) as the dimension parallel to the barn wall, then the fence available for the "height" (out from the barn wall) is (64-x) in length. Half that is used on either end of the enclosure, so the area is ...
A = WH
A(x) = x(64 -x)/2
(b) Best widthWe notice this function describes a parabola that opens downward, with zeros at x=0 and x=64. The vertex (maximum) is on the line of symmetry, halfway between the zeros:
x = (0 +64)/2 = 32
The width that maximizes area is x = 32 ft.
(c) Maximum areaUsing x=32 in the area formula, we find the maximum area to be ...
A(32) = 32(64 -32)/2 = 1024/2 = 512 . . . . square feet
The maximum area is 512 square feet.
__
Additional comment
Perhaps you can see that the best width is half the length of the available fence. The other half of the fence is used for the ends of the enclosure. This is the generic solution to this kind of problem.
When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, a one-way ANOVA is appropriate.
It is also appropriate in this situation, however, to compare two means at a time using multiple independent two sample t-tests. True or False?
True. It is appropriate to compare two means at a time with independent two sample t-tests but it might be time-consuming.
False. It is not appropriate to compare two means at a time in the way described. This would inflate the overall Type I Error and is a 'Multiple Testing' problem. The one-way ANOVA controls for the Type I Error and should be used instead.
It is not appropriate to compare two means at a time in the way described. This would inflate the overall Type I Error and is a 'Multiple Testing' problem. The one-way ANOVA controls for the Type I Error and should be used instead. Comparing multiple pairs of means using independent two-sample t-tests without adjusting for the multiple comparisons can lead to an increased probability of committing a Type I error.
When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, it is appropriate to use a one-way ANOVA instead of multiple independent two-sample t-tests. The reason is that performing multiple t-tests increases the overall Type I error rate, which is the probability of falsely rejecting a true null hypothesis. This is known as the multiple testing problem, and it occurs when we conduct multiple hypothesis tests without controlling the overall error rate.
In contrast, the one-way ANOVA controls for the Type I error rate and tests the null hypothesis that all population means are equal. If the null hypothesis is rejected, then at least one population mean is significantly different from the others. We can then perform post-hoc tests, such as Tukey's HSD, to determine which population means are different.
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Please help me
why - 9/5-1=-14/5
Answer:
Step-by-step explanation:
Because you have to take the L.C.M ,
-9/5 - 1
=( -9-5)/5
= -14/5
please
Brain-list it or support me at my U-Tube channel " ZK SOFT&GAMING " I will be thankful
Step-by-step explanation:
Two negatives make a positive.
So, if it was negatives, it would make an addition between 9 and 5 which makes 14.
How media coverage influences public attitudes toward human rights violations
Media coverage of human rights violations has the potential to shape public attitudes by providing information, framing the issues, and influencing public perception and empathy towards the victims. Option: There is no specific option provided in the question.
Media coverage has the power to inform and influence public opinion by providing information, analysis, and narratives about human rights violations. Through news reports, documentaries, articles, and social media, the media can bring attention to human rights abuses, raise awareness, and generate public discourse on these issues. The way media frames and presents these violations can shape public perceptions, attitudes, and empathy towards the victims.
Media coverage can shed light on the severity, scale, and consequences of human rights violations, leading to public outrage, demands for accountability, and support for action to address these abuses. On the other hand, media biases, selective reporting, or inadequate coverage can also influence public attitudes, either by downplaying or misrepresenting human rights violations or by reinforcing existing stereotypes, prejudices, or biases.
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What is 10/11x11/12 in the fraction form
Answer:
83/100
Step-by-step explanation:
10/11x11/12 is 0.8333333....
Your cat eats at least 84 meals every 28 days. Your cat eats x meals each day. Write an inequality to represent the number of meals your cat eats each day.
Answer:
3
Step-by-step explanation:
84/28=3
Given that ZQRP = (2x + 20) and ZPSQ = 30°, find the value of x.
The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.
We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.
If angles QRP and PSQ are supplementary, their sum is 180°:
(2x + 20)° + 30° = 180°
Now, we can solve for x:
2x + 50 = 180
Subtract 50 from both sides:
2x = 130
Divide by 2:
x = 65
graph the quadrilateral with the given vertices in a coordinates plane then show that the quadrilateral is a parallelogram E(-3,0),F(-3,4),G(3,-1),H(3,-5)
If one set of the opposite sides of a quadrilateral is equal and parallel, the shape is referred to as a parallelogram.
Is quadrilateral is a parallelogram?A quadrilateral is a parallelogram if each pair of opposite angles in it is equal. The quadrilateral ABCD is a figure in which A = C and B = D. We are aware that a quadrilateral's angles add up to 360 degrees. ABCD is therefore a parallelogram.
A quadrilateral is a parallelogram if one pair of its opposite sides is both equal and parallel. A quadrilateral becomes a parallelogram if its diagonals cut each other in half.
The opposite sides of a parallelogram are equal to one another. A parallelogram's diagonals are consistently equal. The diagonals do not cross each other in a parallelogram. The diagonals in a parallelogram are always at right angles to one another.
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What is the slope of y=5/4x-7/4
The answer is:
5/4
Work/explanation:
Let's work out the slope of the line.
The equation is in y = mx + b form where m = slope; b = y intercept.
Similarly, in y=5/4x - 7/4, the slope is 5/4.
Hence, the answer is 5/4.What’s is the order pair for point B ?
The order pair of point B is (1.75,1.25).
What is order pair?
A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane. Two numbers in a specific order. Usually, parentheses are used to write this: (12,5)
This can be used to display a graph's position where the "x" (horizontal) value appears first and the "y" (vertical) value appears second.
(12,5) is therefore 12 units down and 5 units up.
Here the given point B is,
coordinate value of x axis= 1.75
coordinate value of y axis = 1.5
Then the order pair of point B is,
=> (x,y) =(1.75,1.5)
Hence the order pair of B is (1.75,1.25).
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Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=12. y=-10 when x=2
Given f(x)=2x+1 evaluate f(4) Please help with this question.
Answer:
9
Step-by-step explanation:
f(x)=2x+1
f(4)=2 x 4+1
= 8+1
= 9
Answer:
Wherever we see an x , we just input 4 to find f ( 4 ) : f ( 4 ) = 2 ( 4 ) − 1 = 8 − 1 = 7
Hope this helps
Do you links of a rectangle is for X +7 and the width is three if the area of the rectangle is 129 square units what is the value of X
Answer:
x = 36
Step-by-step explanation:
Length of a rectangle, x+7
Width = 3
Area of the rectangle, A = 129 units²
The area of a rectangle is given by :
A = lb
So,
\((x+7)\times 3=129\\\\(x+7)=43\\\\x=43-7\\\\x=36\)
So, the value of x is equal to 36.
Halen wrote the product 0.4 for the problem at the right. Don says that is not correct because when you multiply tenths by tenths, the product will be in the hundredths. Is Don right? Explain.
Answer:
Helen is correct and Don is wrong
Step-by-step explanation:
Halen wrote the prodect 0.4 for the problem .5×.8. Don says that is not correct since when you multiply tenths by tenths the product will be in the hundreths. Is Don right?
.5 × .8 = 0.4
Helen is correct
Don is wrong because the zero(0) at the end of decimals are usually ignored
Such as: 0.10 ; it is usually written as 0.1
Same thing goes for 0.40 which is written as 0.4
Therefore, Helen is correct and Don is wrong
Please help, with math homework
Answer:
5
Step-by-step explanation:
interior angles of a triangle add up to 180 ⁰ and since it is an isosceles triangle
X=5
Parametric statistics could be used to analyze which of the following dependent variables (select all correct answers).
Grams of iron in a meal
Students' zip codes
Minutes spent on this test
Type of favorite cookie
Snacks eaten in a week
Job titles
The correct answers are: Grams of iron in a meal, Minutes spent on this test, Snacks eaten in a week
Parametric statistics could be used to analyze the following dependent variables:
Grams of iron in a meal: Parametric statistics can be used to analyze continuous numerical variables, such as the amount of iron in a meal, by assuming a specific distribution (e.g., normal distribution) and using techniques like t-tests, ANOVA, or regression.
Minutes spent on this test: Similarly, parametric statistics can be applied to analyze continuous numerical variables like the time spent on a test. Techniques such as t-tests or regression can be used to compare groups or explore relationships between variables.
Snacks eaten in a week: Parametric statistics can also be used for analyzing count data, such as the number of snacks eaten in a week. Techniques like Poisson regression or negative binomial regression can be used to model and analyze count data.
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what 2 numbers multiply to -36 and add to 16
Answer:
Step-by-step explanation:
I understand
If 15 people start a race, in how many different ways can the top 3 finishers be determined?
Hence, 15 people out of 3 people can be chosen in 35 ways.
Combinations:It is a method that helps us to determine the number of possible ways an item can be chosen given that the order of selection does not matter. Hence we are free to select the items in any order.Combinations are often confused with permutations. Permutations are the number of ways the given items can be arranged. Here the order is important.The formula for combinations:If we have 'n' items and we are required to choose 'r' items, the number of ways in which it can be done is calculated as:\(^{n}C_{r} }\) = \(\frac{n!}{(n-r)!r!}\)It is given that:
The total number of people in a race, n = 15
The number of finalists, r = 3.
Hence, the number of ways in which 3 people out of the 15 people can be finishers are:
\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.
Hence, 15 people out of 3 people can be chosen in 35 ways.
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M/S Sing Trader purchased refrigerator for Rs.10,000 taxable amount. They sold it to
Amrutbhai for Rs. 12,000 taxable amount. The rate of GST is 28%, then find the CGST
and SGST to be paid by M/S Sing Trader
The CGST and SGST that M/S Sing Trader must pay as the GST rate is 28% is Rs. 280 CGST and Rs. 280 SGST.
Given that,
M/S Sing Trader spent Rs. 10,000 in taxable revenue for a refrigerator. For a taxable amount of Rs. 12,000, they sold it to Amrutbhai.
We have to find the CGST and SGST that M/S Sing Trader must pay as the GST rate is 28%.
We know that,
Input tax = 10000 × 28%
Output tax = 12000 × 28%
GST payable = 12000 × 28% - 10000 × 28%
GST payable = 28% (12000-10000)
GST payable = 28% (2000)
GST payable = \(\frac{28}{100}\)(2000)
GST payable = 28×20
GST payable = 560
CGST = SGST = \(\frac{GST}{2}\) = \(\frac{560}{2}\) = Rs. 280
Therefore, The CGST and SGST that M/S Sing Trader must pay as the GST rate is 28% is Rs. 280 CGST and Rs. 280 SGST.
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whats the answer to this
5 x 5 1/2
Answer:
27.5 in percentages
27 1/2 in fraction form
5 ×
5 1
2
=
55
2
=
27 1
2
Step-by-step explanation:
Write the equations of the lines below.
Answer:
The equation of the line is \(y = - \frac{1}{2} x + 1\)
Step-by-step explanation:
☆Remember: \(slope = \frac{rise}{run} \)
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Two years ago the Castillo family used $3,250 worth of electricity. Last year they switched to balanced billing averaged over 12 months. What was their monthly payment last year under balanced billing? During last year, they actually used $3,766 of electricity and their balanced billing payments were not enough to pay for their electrical usage. They had to pay the difference at the end of the year. How much did they owe the utility company?
The Castillo family made a monthly payment of $270.83 and they owed the utility company $516
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two years ago the Castillo family used $3,250 worth of electricity. During last year, they actually used $3,766 of electricity, hence:
Monthly payment = $3250 / 12 = $270.83
Money owed = $3,766 - $3,250 = $516
The Castillo family made a monthly payment of $270.83 and they owed the utility company $516
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Deceleration, A car slows down with an acceleration of a(t) = -15 ft/s^2. Assume that v(0)=60 ft/s, s(0) =0, and t is measured in seconds. A) Determine and graph the position function for t> 0. B) How far does the car travel in the time it takes to come to a rest?
The car travels a Distance of 120 ft in the time it takes to come to a rest.
A) Determine and graph the position function for t > 0
Given that: Deceleration of car, a(t) = -15 ft/s²Velocity of car, v(0) = 60 ft/sInitial position of car, s(0) = 0
We know that:v(t) = v(0) + a(t) * tHere, v(0) = 60 ft/sa(t) = -15 ft/s²v(t) = 60 - 15tThen, s(t) = s(0) + v(0)t + (1/2)a(t)t²Putting in the values, we get:s(t) = 60t - 7.5t²
Thus, the position function for t > 0 is s(t) = 60t - 7.5t²
.Graph: We can use the above formula for position function to create a graph using a graphing calculator. The graph will look like this:
B) How far does the car travel in the time it takes to come to a rest?When the car comes to rest, its final velocity (v) will be 0. We can find the time taken to come to rest as follows:0 = 60 - 15t15t = 60t = 60/15 = 4 seconds
The car travels for 4 seconds before coming to rest.
We can find the distance travelled during this time as follows:Distance travelled, s = s(4) = 60(4) - 7.5(4²) = 240 - 120 = 120 ft
Therefore, the car travels a distance of 120 ft in the time it takes to come to a rest.
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If P (A) = 0. 5, P(B) = 0. 1, and A and B are mutually exclusive, find P(A or B).
If P (A) = 0. 5, P(B) = 0. 1, and A and B are mutually exclusive, then P(A or B) is 0.6 or 60%.
To find the probability of A or B occurring, we use the formula P(A or B) = P(A) + P(B) - P(A and B). However, since A and B are mutually exclusive events, they cannot occur together. This means that the probability of A and B occurring together is zero. Therefore, we can simplify the formula to P(A or B) = P(A) + P(B).
Using the given values, we have P(A) = 0.5 and P(B) = 0.1. Plugging these values into the formula, we get:
P(A or B) = 0.5 + 0.1
P(A or B) = 0.6
Therefore, the probability of A or B occurring is 0.6 or 60%. This means that there is a 60% chance of either A or B happening, but not both at the same time since they are mutually exclusive.
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Marty invested $7000 in treasury notes and stocks. The stocks paid 7% in the notes paid 8%, giving an annual income of $535. How much is invested into the treasury notes?
Answer:
3500
Step-by-step explanation:
split 7000 in half for stocks and treasury= 3500 each.
7 percent on 3500 is 3724, 7 percent of 3500 is 245 dollors. 535 x 7 is 3745 = 3500 invested in treasury.
The solve by substitution calculator allows to find the solution to a system of two or three equations in both a point form and an equation form .of the answer.true or false
Given statement is True.
A system of equations can be represented in different forms, such as point form (showing the x and y values that make the equations true) or equation form (showing the equations in standard form, with variables on one side and constants on the other). A solve by substitution calculator can be used to find the solution to a system of two or three equations in both point form and equation form of the answer.
The process of solving a system of equations by substitution involves isolating a variable in one equation and then substituting it into the other equation(s) to find the values of the other variable(s). The calculator can display the solution in point form by showing the values of x and y (or x, y, and z for a system of three equations) that make the equations true. It can also display the solution in equation form by showing the equations with the variable(s) replaced by the values found in the solution.
In conclusion, solve by substitution calculator can find the solution to a system of two or three equations in both point form and equation form of the answer, it can be a helpful tool for solving systems of equations.
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PLEASE HELP ASAP!!!!!!! I GIVE BRAINLIEST AND POINTS! PLZ NO LINKS I GRINDED FOR THESE POINTS
LOOK AT THE PIC BELOW
\(\\ \rm\leadsto a^2(a^4)^3\div a^{13}\)
\(\\ \rm\leadsto a^2a^{12}\div a^{13}\)
\(\\ \rm\leadsto a^{14}/a^{13}\)
\(\\ \rm\leadsto a\)
Answer:
\(a^2 \cdot \left(a^4\right)^3 \div a^{13}=a\)
Step-by-step explanation:
Given expression:
\(a^2 \cdot \left(a^4\right)^3 \div a^{13}\)
\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)
\(\implies a^2 \cdot a^{(4 \cdot 3)} \div a^{13}\)
\(\implies a^2 \cdot a^{12} \div a^{13}\)
\(\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:\)
\(\implies a^{(2+12)} \div a^{13}\)
\(\implies a^{14} \div a^{13}\)
\(\textsf{Apply exponent rule} \quad a^b \div a^c=a^{b-c}:\)
\(\implies a^{(14-13)}\)
\(\implies a^1\)
\(\textsf{Apply exponent rule} \quad a^1=a:\)
\(\implies a\)
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ok I have asked this question so many times
can someone please help I am stuck in my class, it would literally mean the world if you can explain how you got the answer
it is not the red one or the one above it.
Answer:
y = 3x - 11
Step-by-step explanation:
To find out linear equation, you must first determine what the rate of change (slope) is, given the table of values.
Choose two set of points from the table.
Let (x1, y1) = (3, -2)
(x2, y2) = (5, 4)
Use the slope formula, and substitute the given values:
\(m = \frac{y2 - y1}{x2 - x1} = \frac{4 - (-2)}{5 - 3} = \frac{6}{2} = 3\)
Therefore, the slope of the equation is 3.
Next, you need to determine the y-intercept of the line. The y-intercept is the point in the graph where it crosses the y-axis; it is also the value of y when x = 0.
Using the point-slope form: y - y1 = m(x - x1)
where m = slope
and (x1, y1) is the set of ordered pairs.
Plug in the value of the slope, and one of the given ordered pairs on your table, (3, -2) into the point-slope equation:
y - y1 = m(x - x1)
y - (-2) = 3(x - 3)
Distribute 3 into (x - 3):
y + 2 = 3x - 9
Subtract 2 from both sides to isolate y:
y + 2 - 2 = 3x - 9 - 2
y = 3x - 11 ←←← This is the equation of the line where the slope = 3, and the y-coordinate of the y-intercept is -11.
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2.) Pedro spends $23.50 at the local arcade and mini-golf course. Each round of mini-golf costs $7.50 and each
arcade game costs $2. Which of the following could be used to determine the number of arcade games Pedro can
play if he plays one round of mini-golf?
Answer:
7.50+2x=23.50
Step-by-step explanation:
I just had this question
The sum of the angles of any triangle is
Answer:
180 degrees
Step-by-step explanation:
A normal population has a mean of 21 and a standard deviation of 6. Use Appendix B.3. a. Compute the z value associated with 24. (Round your answer to 2 decimal places
In statistics, the "z-score" is used to determine how far away from the mean a data point is. It indicates how many standard deviations the data point is from the mean.
The formula for calculating the z-score is given below:
z = (x - μ) / σ
where: x = data point
μ = population mean
σ = population standard deviation
Given a normal population with a mean of 21 and a standard deviation of 6, we can compute the z-score associated with 24 as follows:
z = (x - μ) / σz = (24 - 21) / 6z = 0.50
To compute the z-value associated with 24, we use Appendix B.3 which gives the area under the normal distribution curve for different z-scores.
Looking at Appendix B.3, we find that the area to the left of z = 0.50 is 0.6915 (rounded to 4 decimal places). Therefore, the z value associated with 24 is 0.50.
Note: The answer has been provided in less than 100 words, but the computation involved has been thoroughly explained.
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