The area of a rectangle can be found by multiplying its length and width.
For perimeter 16cm: 15 cm² and 16 cm²For perimeter 20cm: 24 cm² and 25 cm²For perimeter 14cm: 12 cm²How to find area of rectangles?To find the area of rectangles with different perimeters, we need to use the formula:
Area = length x width
Perimeter = 16 cmPossible dimensions:
Length = 5 cm, Width = 3 cm
Length = 4 cm, Width = 4 cm
Area of the first rectangle = 5 cm x 3 cm = 15 cm²
Area of the second rectangle = 4 cm x 4 cm = 16 cm²
Perimeter = 20 cmPossible dimensions:
Length = 6 cm, Width = 4 cm
Length = 5 cm, Width = 5 cm
Area of the first rectangle = 6 cm x 4 cm = 24 cm²
Area of the second rectangle = 5 cm x 5 cm = 25 cm²
Perimeter = 14 cmPossible dimensions:
Length = 4 cm, Width = 3 cm
Area of the rectangle = 4 cm x 3 cm = 12 cm²
Therefore, the areas of the possible rectangles with perimeters 16cm, 20cm, and 14cm are:
For perimeter 16cm: 15 cm² and 16 cm²
For perimeter 20cm: 24 cm² and 25 cm²
For perimeter 14cm: 12 cm²
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Scientists require observable data, not -------, to
support a hypothesis; sound science is grounded
in ------- results rather than speculation.
(A) induction . . diminutive
(B) experimentation . . pragmatic
(C) intuition . . fiscal
(D) bombast . . theoretical
(E) conjecture . . empirical
Scientists require observable data, not conjecture, to support a hypothesis; sound science is grounded in empirical results rather than speculation.
The correct option is E.
Conjecture is defined as an opinion or judgment based on insufficient knowledge. And empirical refers to evidence based on proper facts and investigation rather than theory or pure logic.
hypothesis mean:. The scientific method requires that a hypothesis be tested in order for it to be considered a scientific hypothesis. Scientists often develop scientific hypotheses on earlier data that cannot be fully explained by the scientific theories now accessible.
Elaborating speculation:The acquisition of an asset with the expectation that it will increase in value in the near future is known as speculating. Many speculators ignore a security's underlying value in favor of focusing solely on price changes.
What are the 3 types of hypothesis?Types of hypothesis are:
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HELP PLEASE(7th grade)
!! for 2 and 3 these values are rounded
1) 693.5/18,250 = .038 x 100% = 3.8% commission
2) ~118.5% --- divide tip/meal then x 100%
3) ~21.33% divide sale price/over org., then subtract by 100%
How much 33 + 33 - 33 x 33 / 0?
Answer:
0 is the correct answer brother
The parallelogram had an area of 20 square inches
Answer:
b = 4.472 and h = 4.472
Step-by-step explanation:
Area of a parallelogram is A = bh
Find b and h where the area is 20 square inches
So, to find the equal value of both b and h take square root of 20
➟ √20
➟ 4.472
So, b = 4.472 and h = 4.472
Checking
A = 4.472 × 4.472
A = 19.9 ≈ 20
The length of a rectangular parking lot is 4 yards more than 5 times the width. Find the area of the parking lot.
The required expression by distributing the w on the right side, we get: A = 5w^2 + 4w
Explain about Rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.
According to question:Let's call the width of the parking lot "w". According to the problem, the length is 4 yards more than 5 times the width, so we can write the length as 5w + 4.
The formula for the area of a rectangle is A = length × width. Substituting in our values, we get:
A = (5w + 4) × w
Simplifying this expression by distributing the w on the right side, we get:
A = 5w^2 + 4w
This is the formula for the area of the rectangular parking lot in terms of its width. To find the actual area, we need to know the width. Once we have that, we can plug it into the formula and solve for A.
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Identify an expression for the height of a rectangle whose area is represented by 3x3 − x2 − 6x − 8, and whose base is represented by x − 2.
Answer:
3x^2 + 5x + 4
Step-by-step explanation:
The expression for the height of the rectangle is found by dividing the expression for the area, 3x3 − x2 − 6x − 8, by the expression for the base, x − 2. Use synthetic division.
b. The linear scale factor of two similar
shapes is 14:7. If the area of the
bigger shape is 490cm, what is the
area of the smaller shape?
Answer:
Area of smaller shape = 245 cm²
Step-by-step explanation:
Given:
Scale factor ration [Big shape to small shape] = 14:7
Area of bigger shape = 490 cm²
Find:
Area of smaller shape
Computation:
Area of smaller shape = Area of bigger shape[7 / 14]
Area of smaller shape = 490[7 / 14]
Area of smaller shape = 490[7 / 14]
Area of smaller shape = 35[7]
Area of smaller shape = 245 cm²
Elsie is a project manager
in 2016 she earned £2100
in 2017 she was awarded a 3% increase on her monthly salary
given that in 2017 worked 42 hours a week for 45 weeks.
week out her average pay-per-hour of the year
The average pay-per-hour of the year for Elise will be 13.73 pounds.
How to calculate the average pay?From the information, in 2016 she earned £2100 and in 2017 she was awarded a 3% increase on her monthly salary.
Therefore, the new salary will be:
= 2100 + 3%(2100)
= 2100 + 63
= 2163
Now she worked for 42 hours per week for 45 weeks. This will be:
= 42 × 45
= 1890 hours
Therefore, the total earnings for the year will be:
= 2163 × 12 months
= 25956
The average pay-per-hour of the year will be:
= Total amount / Number of hours
= £25956 / 1890
= £13.73
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Numeric entry e-tering a numeric answer. These numeit entry fieles can appear with a veriefy of seitings, such as the body sf a paragraph or a teble. Complere rhe following stanemoot to sas numark ancry in actiov. The surn of 1,400 and 3,000 is Can I enter negative numbers and declmals? however, youm need to enter a minus sign to represent a negative nutber, ar a decimal to represent a noninteper. Compiefe fhe fowsing tabie fo see now cecimas and negarive favoers work. How do 1 lanow if 1 got the answer right? Once you have submitted your answers for an entire problem, your individual anseers wil be marked elther cortedt with a green check or lncorrect with a red X. At this point, you msy select the entery fleid to reveal the comect answer; selecting it again will hide the correct answec. True of rase: The cerrect answer ts a numeric entry feid wal a comaccaly be pcputated in the correct faid arter you cpen the enptanations. True False Is entering 20,000,000 the same as entering 20 million? Pay careful astention to the instructions gNen in the prediem for how to enter your answer. Far wampe, if a questicn specines thar yeu give your the field in a paragraph. Complefe fhe foloming fab'e fo demonswafe your enderstwising of chis A case headers. What if my answer doesn't fit In the space I'm glven? If you find yourseif trying to enter a numiar that tha flaid coes not a ow (eithar because thare is not anough space or because it dees not acospt decmal values), eread the inseructisns to make sure yeu are antarng the number in the correct rermar. Complere the following statement to domonstrate your undortanding of in-line unite. The 8um or se0,Ded and so0,000 is milion. What about currency? You do not need to enter the symbois for currency. For exampia, if you enter d doocuo0 inco a numenc antry ceil that daas with currency and than need to enter declmas as well. Complere rhe folkuing staramost no ses now curency warks. If rou sfart out with $2.55 and find an addilonel 54.65 in your pocket, you will have a total of What about percentages? As with che curency symbo, ir a perecarage symbsi 15 recured, It wil autemancaly apsear aisngside your numenc entry after you exil tre numerte zypese as 65%. (Note: Mthouph 65% can also be represented as 0.65, if you were to enter 0.65 into a field that automaticaly comerts to percencages, this would be fomatted as 0.65% and would be graded as incerrect, because 0.65% is not equal to 65%.) Complete the following statement to see how percentages work. As a percentage, \$22.00 ia equal tD of $40.00.
The sum of 1,400 and 3,000 is 4,400. Can I enter negative numbers and decimals.
Can I enter negative numbers and decimals?When entering a numeric answer, you may encounter different settings such as within the body of a paragraph or a table. To understand how numeric entry works, let's break down the provided information.
The statement mentions completing a table to observe how decimals and negative numbers function. This implies that you will be performing calculations using decimals and negative numbers and recording the results in a table.
To determine if your answers are correct, after submitting your responses for a particular problem, each individual answer will be marked either correct with a green check or incorrect with a red X. You can select the entry field to reveal the correct answer, and selecting it again will hide it.
The statement also discusses whether entering "20,000,000" is the same as entering "20 million." It is important to pay attention to the instructions given in the problem to ensure the correct format for your answer.
In this case, the question aims to assess your understanding of the format by specifically mentioning giving your answer in a paragraph. So, entering "20,000,000" would be the correct format.
If the space provided for entering your answer is insufficient or doesn't accommodate decimal values, carefully review the instructions to ensure you are entering the number correctly. Adjust your approach accordingly, considering the space and format requirements.
Regarding in-line units, you are required to complete a statement that demonstrates your understanding of them. This likely involves performing calculations involving units and providing the resulting value with the appropriate unit.
Currency symbols are not necessary when entering answers. If a question involves currency and decimals, you can enter the numerical value without including the currency symbol. The statement asks you to demonstrate your understanding of how currency works.
Finally, percentages are mentioned, and you are instructed to complete a statement involving them. Keep in mind that when a percentage symbol (%) is required, it will automatically appear alongside your numeric entry after you exit the numerical input field.
To summarize, the explanation covers various aspects of numeric entry, including negative numbers, decimals, correctness assessment, table completion, fitting answers within given spaces, in-line units, currency, and percentages.
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Potatoes are on sale for $0.58 per pound. How much 3 of potatoes cost?
A. $1.99
B. $2.03
C. $2.36
D. $2.92
Answer now please
Answer:
Step-by-step explanation:
O points but it’s 1.99
In a data set with a, b, c, d, e, and f numeric variables, given there are strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as:
Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e
Given two predictor variables with correlation at 0.32879, we should expect there is multicollinearity between them.
Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.
In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as
Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.
Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.
The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:
we should expect there to be multicollinearity between them.
Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.
Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.
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Tyler evaluates the expression -621,044-(-214,318) and gets an answer of -400,080.
is this a reasonable answer?
Answer:
No
Step-by-step explanation:
The correct answer is -406,726
A negative minus a negative is the same as a negative plus a positive
-621,044 + 214,318 = -406,726
8 z
6
OD
UN
4 3
N
1 2 3 4 5 6 7 8 9
x
Which two equations represent the situation?
o y=jx and y=x-4
o =
O y=3+ and y = X+4
O y = 3x and y = x+4
O y = 3x and y = x-4
Answer:
Step-by-step explanation:
There are 56 female performers in a dance recital. The ratio of men to women is 6:7. How many men are in the dance recital?
Match each genre with its characteristic.
tragedy
comegy
drama
depicts trials of ordinary people
depicts the downfall of a high-ranking hero
ridicules human relationships
Answer:
tragedy= depicts the downfall of a high ranking hero
comedy= depicts trials of ordinary people
drama= ridicules human relationships
Step-by-step explanation:
depicts trials of ordinary people = drama
depicts the downfall of a high-ranking hero = tragedy
ridicules human relationships = comedy
Step-by-step explanation:
got it right
What is the domain of the function represented by this graph?
Approximating functions using linear functions or higher degree polynomials is a very useful scientific tool! This concept generalizes to Taylor Polynomials, but is most simply illustrated with linear approximations. As a reminder, a linear approximation, L(x), is simply the equation of the tangent line to the curve, f(x), at x=a. For each of the following functions (a) f(x)=ln(
π
3x
+sinx),a=π/2 (b) g(x)=e
cos(4x)
,a=0 i. Find the linear approximation function centered at x=a. ii. Choose a number near x=a and approximate the value of f(a) by using L(a). iii. Use Desmos to sketch both functions f(x) and L(x).
The linear approximation of the function f(x) = ln(π3x + sin x) at x = π/2 is L(x) = 2.50x - 0.33. The linear approximation of the function g(x) = e cos(4x) at x = 0 is L(x) = 1. The approximation of f(π/2) using L(π/2) is 2.50, and the approximation of g(0) using L(0) is 1.
The linear approximation of a function f(x) at x = a is the equation of the tangent line to the graph of f(x) at x = a. To find the linear approximation, we need to find the slope of the tangent line at x = a. The slope of the tangent line is given by f'(a). Once we have the slope, we can use the point-slope form of linear equations to find the equation of the tangent line.
In the case of f(x) = ln(π3x + sin x), we have a = π/2. The derivative of f(x) is f'(x) = π3/(π3x + sin x). Therefore, the slope of the tangent line at x = π/2 is π3/(2π). The equation of the tangent line is then L(x) = 2.50x - 0.33.
In the case of g(x) = e cos(4x), we have a = 0. The derivative of g(x) is g'(x) = -4e cos(4x). Therefore, the slope of the tangent line at x = 0 is 0. The equation of the tangent line is then L(x) = 1.
We can use Desmos to sketch the graphs of f(x) and L(x) for each case. In both cases, the linear approximation is a good approximation of the function near x = a. However, as x moves further away from a, the approximation becomes less accurate.
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if a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces?
Therefore, the probability that basketball will weigh between 20.5 and 23.5 is 0.866
What is probability ?Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.
Here,
X υ N (22,1)
Probability that basketball will weigh between 20.5 and 23.5
is:
=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1 ]
=> P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)
=> P(20.5 < x < 23.5) = 0.866
Therefore, the probability that basketball will weigh between 20.5 and 23.5 is 0.866
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describe an experiment that the sound propagates in solid
for class 7
Step-by-step explanation:
Take two empty ice cream cups. Make a small hole at the bottom of each cup and pass a long thread through them. Tie a knot or match stick at each end of the thread so that the thread does not slip out through the holes. ... Thus, sound can travel through a solid
Answer:
Now use the toy telephone as shown in figure and talk to your friend . You will be able to hear the sound of your friend . This shows that sound travels through the thread and reaches your ear. Thus , sound can travel through a solid.Can someone please help I really need help
Answer:
see below
Step-by-step explanation:
Each point and line moves to half its previous distance from the center of dilation, the origin. So, the point (-10, -10) moves to (1/2)(-10, -10) = (-5, -5). The dilation factor applies in the same way to other coordinates.
I find it easy enough just to spot the points on the graph and draw the lines between them.
What is limx→5x2−25x−5 ?
The following limit \(\lim_{x \to 5} x^2-25x-5\) results in -105.
The expression \(\lim_{x \to 5} x^2-25x-5\) represents the limit of a function as x approaches 5.
To evaluate this limit, we can substitute 5 for x in the expression to get:
5² - 25(5) - 5
Simplifying this expression, we get:
25 - 125 - 5 = -105
Therefore, the value of the limit is -105. This means that as x approaches 5, the value of the function approaches -105. In other words, the function has a vertical asymptote at x = 5, and as x gets closer and closer to 5, the function values get closer and closer to -105.
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Suppose the data represent the inches of rainfall in April for a certain city over the course of 20 years. Determine the quartiles. 0. 76
1. 08
1. 32
1. 55
1. 83
2. 09
2. 57
2. 83
3. 01
3. 25
3. 63
3. 78
4. 09
4. 32
4. 64
4. 93
5. 23
5. 34
5. 44
5. 73
The quartile values for the distribution are 1.96, 3.44 and 4.76 for the first, second and third quartiles respectively.
Given the data :
0.76, 1.08, 1.32, 1.55, 1.83, 2.09, 2.57, 2.83, 3.01, 3.25, 3.63, 3.78, 4.09, 4.32, 4.64, 4.93, 5.23, 5.34, 5.44, 5.73
The First quartile Q1;Q1 = 1/4(n+1)th term
Q1 = 1/4(21)th term
Q1 = 5.25th term
Q1 = (1.83+2.09)/2 = 1.96
Hence, the value of Q1 is 1.96
The Second Quartile, Q2Q2 = 1/2(n+1)th term
Q2 = 1/2(21)th term
Q2 = 10.5th term
Q2 = (3.25+3.63)/2 = 3.44
Hence, the value of Q2 is 3.44
The Third Quartile, Q3Q3 = 3/4(n+1)th term
Q3 = 3/4(21)th term
Q3 = 15.75th term
Q3 = (4.64+4.93)/2 = 4.76
Hence, the value of Q3 is 4.76
Therefore, 1.96, 3.44 and 4.76 are the first, second and third quartile values respectively.
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A store was having a Labor Day sale. It offered an extra 15% off before 8:00a.m. What fraction was taken off before 8:00a.m?
The fraction taken off before 8:00a.m was 15/100, or 15%.
What is fraction?Fraction is a numerical expression which represents a part of a whole or, more generally, any number of equal parts. It is represented by two numbers separated by a line, with the first number indicating the number of parts and the second number indicating how many parts make up the whole. Common fractions are examples of fractions, such as one-half (1/2), one-third (1/3), two-thirds (2/3), and three-quarters (3/4).
This means that all items in the store were discounted by 15% before 8:00a.m. on Labor Day. This was an attractive offer for shoppers who wanted to get the best deals and discounts available. Customers could take advantage of the discounted prices and save money on their purchases. The store's Labor Day sale provided great savings for customers who arrived before 8:00a.m. on the holiday.
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a(n) = -5 + 6(n - 1)a(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis
Find the 12^\text{th}12
th
12, start superscript, start text, t, h, end text, end superscript term in the sequence.
Answer:
The 12th term is 61
Step-by-step explanation:
I will assume that your a(n) = -5 + 6(n - 1) is correct; the rest is redundant (duplicative, unneeded).
To find the 12th term, substitute 12 for n in the above formula:
a(12) = -5 + 6(12 - 1) = -5 + 6(11) = 66 - 5, or 61
The 12th term is 61
Answer:
61
Step-by-step explanation:
Evaluate the function.
f(x) = -22 – 3x + 3
Find f(7)
Answer:
f(7) = -40
Step-by-step explanation:
f(x) = -22 – 3x + 3
Let x = 7
f(7) = -22 – 3*7 + 3
= -22 -21 +3
= - 40
Brainlist if you answered it correctly and give a well done explanation
Answer:
Its A
Step-By-Step Explanation:
a manufacturer of power tools claims that the mean amount of time required to assemble their top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. suppose a random sample of 50 of this table saw is taken. what is the probability that the sample mean will be between 77 and 89 minutes ? (use 4 decimals)
Answer:
0.6832
Step-by-step explanation:
To find the probability that the sample mean will be between 77 and 89 minutes, we can use the Central Limit Theorem and assume that the distribution of sample means follows a normal distribution.
The mean of the sample mean distribution is the same as the population mean, which is 80 minutes. The standard deviation of the sample mean distribution, also known as the standard error, is calculated by dividing the population standard deviation by the square root of the sample size.
Standard error = Population standard deviation / √sample size
Standard error = 40 / √50
Standard error ≈ 5.6569
To calculate the probability, we need to standardize the values of 77 and 89 using the z-score formula.
Z-score for 77: (77 - 80) / 5.6569 ≈ -0.5303
Z-score for 89: (89 - 80) / 5.6569 ≈ 1.5907
We can then use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.
Using the table or calculator, the probability that the sample mean will be between 77 and 89 minutes is approximately 0.6832.
Date
Selling Cars
Solving One-Step Equations
The Media Store runs a promotion in July to increase summer business. They take $2 off of
every DVD in the store. Complete the table below.
Sale Price
Regular Price
$17
Movie
Speed XXIV
The Furious and the Fast
Planet Wars
Saturday the Fourteenth XIII
$12
$19
$6
1. How did you find the sale price, given the regular price? Use a complete sentence to
explain your answer.
2. Write an expression to represent the sale price, given the regular price.
Use any method to solve each equation.
3. X + 33 = 97
4. 7 + x = 24
Answer:Computer Store sells DVDs for a day = 110
No. of days the store works = 266
No. of DVDs saled in 266 days = 266 days x 110DVDs
= 29,260 DVDs
Step-by-step explanation:
Answer the question on the picture!
Answer:
64 square inches
Step-by-step explanation:
im not 100% sure but i think its right
assume that 500,000 people take the ged exam (high school proficiency exam) each year and their scores form a normal distribution. if danny scores two standard deviations below the mean, what percentile is he?
If Danny scores two standard deviations below the mean then, the percentile of Danny is 68.27%.
The mean (also known as average), is obtained by dividing the sum of observed values by the number of observations, n. Although data points fall above, below, or on the mean, it can be considered a good estimate for predicting subsequent data points. The standard deviation gives an idea of how close the entire set of data is to the average value. Data sets with a small standard deviation have tightly grouped precise data. Data sets with large standard deviations have data spread out over a wide range of values.
Assuming a normal distribution, the empirical rule 68–95–99.7, determines that the percentage of students that score within one standard deviation of the mean is 68.27%, the percentage within two standard deviations is 95.45% and within 3 standard deviations is 99.73%.
Therefore, If Danny scores two standard deviations below the mean then, the percentile of Danny is 68.27%.
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