The length of a rectangle is 99 centimeters. Find all possible values for the width of the rectangle if the perimeter is at least 240 centimeters.
Answers
So the width should be 21 cm, to have a length of 99 cm and a perimeter of 240 cm in linear equations.
What are instances of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.240 = 2(99) + 2x
240 = 198 + 2x
42 = 2x
21 = x
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Related Questions
80% of what number is 52
Answers
Because 80% goes in 50, 40 times
Select all of the functions that include a reflection of the parent function across the x-axis.
Answers
The functions that include a reflection of the parent function across the x-axis are h(x) = -3/2x², q(x) = -6x², k(x) = -x²
How to select all of the functions of reflection of the parent function across the x-axis.from the question, we have the following parameters that can be used in our computation:
The list of optons
The function of reflection of the parent function across the x-axis can be represented as
g(x) = -f(x)
This means that the function is negated
using the above as a guide, we have the following:
The functions are h(x) = -3/2x², q(x) = -6x², k(x) = -x²
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on a certain hot summers day, 613 people used the public swimming pool
Answers
The number of children and adults in swimming pool is 398 and 224.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form;
Ax + B = 0.
We are given that;
Number of people swimming=613
Price of children=$1.75
Price of adults= $2.25
Total= $1184.75
Let, number of children be x
Number of adults be y
Now, the equations will be
x+y=613....1
1.75x+2.25y=1184.75....2
On solving both the equations
X=389, y=224
Therefore, the solution of linear equation will be 389 and 224.
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The complete question is;
on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults the receipts for admission totaled $1184.75 how many children and how many adults when I am at the public for that day
Find the measure of angle 3.
Answers
Answer:
112 degrees
Step-by-step explanation:
In this case, the two angles are considered alternating exterior angles, which signifies that they are equal
Consider the following simple regression model y = β0 + β1x + u, with z being an instrument for x. Suppose Corr(x,u) > 0, Corr(z,x) > 0, and Corr(z,u) < 0. Then, the IV estimator has a(n) _______.
a. asymptotic bias
b. downward bias
c. no bias
d. upward bias
Answers
The correct answer is b. downward bias. The instrumental variable (IV) estimator in the given regression model has a downward bias. This bias arises due to the correlation patterns between the variables involved: Corr(x,u) > 0, Corr(z,x) > 0, and Corr(z,u) < 0.
These correlation conditions create a situation where the IV estimator underestimates the true coefficient of the independent variable (x), resulting in a downward bias.
In instrumental variable regression, the IV estimator is used to address endogeneity issues when there is a correlation between the independent variable (x) and the error term (u). The instrument (z) is employed to provide a source of variation for x that is unrelated to u.
In the given scenario, the positive correlation between x and u (Corr(x,u) > 0) indicates endogeneity or omitted variable bias. The positive correlation between z and x (Corr(z,x) > 0) suggests that z is a valid instrument for x. However, the negative correlation between z and u (Corr(z,u) < 0) implies that z is not perfectly exogenous and may have some correlation with the error term.
Due to this correlation pattern, the IV estimator is downward biased, meaning it underestimates the true coefficient of x. This bias occurs because the instrument does not fully capture the variation in x that is unrelated to u, leading to an attenuation bias in the estimated coefficient.
Therefore, the correct answer is b. downward bias.
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therr are 15 boys and 16 girls in a classroom. Write the following ratio:boys to girls
Answers
Answer:
15:16 boys to girls
Step-by-step explanation:
A cube has edge length 11 inches. Write an expression for its volume and an expression for its
surface area.
Answers
Answer:
volume=1331inch^3
Surface area=726inch^2
Step-by-step explanation:
Answer:
Volume:11
3
=1331
Surfacearea:11
2
×6=726
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
Answers
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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in which quadrant is theta if the statement is true: Tan theta > 0 and sin theta >0
Answers
Find the volume and surface area of the square pyramid
Answers
The volume and surface area of the pyramid will be 392 / 3 cubic units and 189 square units. Then the correct option is A.
The complete question is attached below.
What is the volume and surface area of the pyramid?Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.
Then the volume of the pyramid will be
V = (L × B × H) / 3
The surface area of the pyramid will be
SA = 2(1/2 × B × K) + 2(1/2 × L × K) + (L × B)
Then the volume will be
V = (7 × 7 × 8) / 3
V = 392/3 cubic units
Then the surface area will be
SA = 2(1/2 × 7 × 10) + 2(1/2 × 7 × 10) + (7 × 7)
SA = 189 square units
Then the correct option is A.
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Dan Stocked up on batteries. He Brought 10 packages of AA and AAA batteries for a total of 72 batteries. The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write a system of equations that can be solved to find how many packages of each type of battery Dan bought. Remember to define your variables.
Answers
Answer:
The system of equations that make the definition are;
x + y = 10 •••••••••(i)
6x + 8y = 72 ••••••••(ii)
Where x refer to the number of packages of AA battery bought and y refers to the number of packages of AAA batteries bought
Step-by-step explanation:
Here, we are to write system of equations that can be solved which will help give the number of packages of each type of battery bought.
Let the number of AA batteries bought be x while the number of AAA batteries bought be y;
Since he bought a total of 10 packages,
What this means is that;
x + y = 10 •••••••••(i)
We are also told that the AA batteries are sold in packages of 6, so the total number of AA batteries bought is; 6 * x = 6x
Also, we know that the AAA batteries are sold in packages of 8, so the total number of AAA batteries bought is 8 * y = 8y
We add both to give the total number of packages.
Mathematically, that would be;
6x + 8y = 72 •••••••••(ii)
By solving both equation set, we shall have the number of each types of batteries bought
7. Which of these statements is true?
A. 1-(-4)<4- (-2)
B. (-2)(3) > (-1)(-6)
C. 6÷
D.-(5-3)=-5-3
Answers
Answer:
A. because 5 < 6. 1-(-4)=5. and 4-(-2) =6
The two dot plots below show the number of miles run by 14 students at the start and end of the school year. 100 points and brainliest
Answers
Mean for start of school year is 6.5; Mean for end of school year is 7.2.
Median for start of school year is 6.5; Median for end of school year is 7.
How to Find the Mean and Median of a Data Set from a Dot Plot?To find the means, list out each data value given for each dot plot and calculated the mean.
Mean for start of school year:
We have, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9
Mean = ( 4 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 9)/14
= 91/14
Mean ≈ 6.5
Mean for end of school year:
We have, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9
Mean = ( 5 + 5 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9)/14
= 101/14
Mean ≈ 7.2
Median represents the middle data value in a data set, therefore:
Median for start of school year = ( 6 + 7)/2 = 6.5
Median for end of school year = ( 7 + 7)/2 = 7
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x plus 2.7 is greater than or equal to 9.4
Answers
Answer:
X >= 6.7
Step-by-step explanation:
So first of all, what you need is write out the equation from the given prompt
x + 2.7 >= 9.4
Next, what you really want to do is
Subtract 2.7 both side
x >= 9.4 - 2.7
x >= 6.7
at a price of $8 in this diagram, profit per unit is approximately , and total profit is approximately . $2.50; $36 $8.00; $114 $5.00; $60 $5.50; $78
Answers
The profit per bag is approximately $2.50 and the total profit is approximately is $36 , the correct option is (c) .
In the question ,
a graph of relation of price and quantity is given .
Under the perfect competition , the profit maximization condition is where price is equal to the marginal cost
that means P = MC .
price is given as = $8 ,
Form the graph ATC = $5.5
per unit profit can be calculated using the formula ,
Per unit profit = Price - ATC
per unit profit = 8 - 5.5
= $2.5
From the graph , the quantity is Q = 14.4 (approximately)
Total profit is calculated using the formula
Total Profit = (profit per unit) × (quantity)
Total Profit = 2.5 × 14.4
= $36
Therefore , The profit per bag is approximately $2.50 and the total profit is approximately is $36 .
The given question is incomplete , the complete question is
This figure is the market for bags of coffee roaster . At a price of $8 per bag . Profit per bag is approximately is and the total profit is .
(a) $5.50 , $78
(b) $5.00 , $60
(c) $2.50 , $36
(d) $8.00 , $114
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Solve the problem.
A survey of a group of 114 tourists was taken in St. Louis. The survey showed the following:
62 of the tourists plan to visit Gateway Arch;
47 plan to visit the zoo;
10 plan to visit the Art Museum and the zoo, but not the gateway Arch;
12 plan to visit the Art Museum and the Gateway Arch, but not the zoo;
17 plan to visit the Gateway Arch and the zoo, but not the Art Museum;
7 plan to visit the Art Museum, the zoo, and the Gateway Arch;
16 plan to visit none of the three places.
How many plan to visit the Art Museum only?
Select one:
a. 47
b. 34
C. 98
d. 13
Answers
Answer:
b
Step-by-step explanation:
You have created a 95% confidence interval for μ with the result 10≤ μ ≤15. What decision will you make if you test H0: μ =16 versus H1: μ s≠16 at α s=0.05?
Answers
based on the confidence interval and the hypothesis test, there is evidence to support the alternative hypothesis that μ is not equal to 16.
In hypothesis testing, the significance level (α) is the probability of rejecting the null hypothesis when it is actually true. In this case, the significance level is 0.05, which means that you are willing to accept a 5% chance of making a Type I error, which is rejecting the null hypothesis when it is true.
Since the 95% confidence interval for μ does not include the value of 16, and the null hypothesis assumes μ = 16, we can conclude that the null hypothesis is unlikely to be true. The confidence interval suggests that the true value of μ is between 10 and 15, which does not overlap with the value of 16. Therefore, we have evidence to reject the null hypothesis and accept the alternative hypothesis that μ is not equal to 16.
In conclusion, based on the 95% confidence interval and the hypothesis test, we would reject the null hypothesis H0: μ = 16 and conclude that there is evidence to support the alternative hypothesis H1: μ ≠ 16.
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only matrices of the same ___ can be added or subtracted.
Answers
Only matrices of the same size can be added or subtracted.
A matrix is a rectangular array of numbers and is composed of rows and columns. In order to add or subtract matrices, the matrices must have the same number of rows and columns. If the matrices do not have the same size, they cannot be added or subtracted.
For example, if one matrix is a 2x3 matrix, the other matrix must also be a 2x3 matrix. Similarly, if one matrix is a 3x2 matrix, the other matrix must also be a 3x2 matrix. The numbers in each matrix may vary, but the size of the matrices must be the same for the operation to be valid.
When adding or subtracting matrices, the numbers in the same position (row and column) are added or subtracted. For example, if one matrix is [[1,2,3], [4,5,6], [7,8,9]] and the other matrix is [[2,4,6], [8,10,12], [14,16,18]], the resulting matrix would be [[3,6,9], [12,15,18], [21,24,27]].
Adding and subtracting matrices is a useful tool in mathematics and is often used to solve equations and simplify complex problems. It is important to remember that only matrices of the same size can be added or subtracted.
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Which statements can be used to compare the characteristics of the functions? select two options. f(x) has an all negative domain. g(x) has the greatest maximum value. all three functions share the same range. h(x) has a range of all negative numbers. all three functions share the same domain.
Answers
The statements that can be used to compare the characteristics of the functions are:
g(x) has the maximum greatest value.h(x) has a range of all negative numbers.How to interpret the functions?From the table of values (see attachment), we have the following highlights:
f(x) has a range of all positive numbers.h(x) has a range of all negative numbers.g(x) has the maximum greatest value.The above highlights mean that, the true statements are b and d
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Answer:Its B,D
Step-by-step explanation: Yes
give an example of a phenomenon that is normally distributed. explain why. estimate what the mean and the standard deviation might be and describe how you determined these estimates.
Answers
One example of a phenomenon that is commonly modeled as normally distributed is the heights of adult individuals in a population. The distribution of heights in a given population tends to follow a normal or Gaussian distribution.
The normal distribution is often observed in naturally occurring phenomena due to the central limit theorem. This theorem states that when independent random variables are added, their sum tends to be approximately normally distributed, regardless of the distribution of the original variables. Many biological characteristics, including height, tend to be influenced by multiple genetic and environmental factors that can be considered as a combination of various independent variables. Consequently, when these factors combine, the resulting distribution of heights approximates a normal distribution.
Estimating the mean and standard deviation of heights:
To estimate the mean and standard deviation of heights in a population, a representative sample of individuals can be measured. This sample should ideally be randomly selected to ensure it is representative of the entire population. The mean height of the sample would provide an estimate of the population mean, while the sample standard deviation would provide an estimate of the population standard deviation.
For example, if we measure the heights of 500 individuals in a population and calculate the sample mean as 170 cm and the sample standard deviation as 10 cm, these values can be considered estimates for the population mean and standard deviation, respectively. These estimates are based on the assumption that the sample is representative of the entire population.
It's important to note that the mean and standard deviation can vary among different populations or demographic groups, such as males and females or different age ranges. Thus, specific estimates for mean and standard deviation should be obtained based on the relevant population or subgroup of interest.
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What is 1/2x(4+6x3)-9?
Answers
Answer:
Answer is 2
Step-by-step explanation:
Answer:
1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.
osmium has a density of 22.6 g/cm 3. what volume (in cm 3) would be occupied by a 21.8 g sample of osmium?
Answers
a 21.8 g sample of osmium would occupy a volume of approximately 0.9646 cm³.
To calculate the volume occupied by a sample of osmium, we can use the formula:
Volume = Mass / Density
Given:
Mass = 21.8 g
Density = 22.6 g/cm³
Substituting these values into the formula:
Volume = 21.8 g / 22.6 g/cm³
Simplifying:
Volume = 0.9646 cm³
what is volume?
Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It quantifies the extent or capacity of an object or substance in terms of how much space it occupies.
In mathematical terms, volume is typically measured in cubic units (such as cubic meters, cubic centimeters, or cubic inches). It is calculated by multiplying together the three dimensions of the object (length, width, and height) or by using specific formulas depending on the shape of the object.
For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height. The volume of a cylinder can be calculated using the formula πr²h, where r is the radius of the base and h is the height.
Volume is an essential measurement in various fields such as physics, engineering, chemistry, and everyday life. It helps determine capacities, quantities, displacements, and the amount of space occupied by objects or substances.
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Match the positive or negative number on the right with a situation that represents it on the left.
An increase in altitude of 6 miles.
6 degrees below zero.
Taking 12 steps back.
Going up 12 stairs.
Depositing $2,000
A withdrawal of $2,000
DRAG & DROP THE ANSWER
−6-6−6
+12+12+12
+6+6+6
+2,000+2,000+2,000
−12-12−12
−2,000-2,000−2,000
Answers
The correct matching of positive and negative number according to the situation is given by,
An increase in altitude of 6 miles.→ +6
6 degrees below zero.→-6
Taking 12 steps back.→-12
Going up 12 stairs.→+12
Depositing $2,000 →+2000
A withdrawal of $2,000→ -2000.
The left hand side statement representing the situation of right hand side are as follow,
An increase in altitude of 6 miles represents the positive value of 6 as it increases.
+ 6.
6 degrees below zero represents the negative value of 6 as below zero numbers are negative.
-6.
Taking 12 steps back represents the negative value of 12 as moving back is negative direction.
-12.
Going up 12 stairs represents the positive value of 12 as moving up is always positive.
+12.
Depositing $2,000 represents the positive value of 2000 as it increases the amount.
+2000
A withdrawal of $2,000 represents the negative value of 2000 as it decreases the amount.
-2000.
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4. -к - (8к)
Combine like terms
Answers
The answer is -9k Please Rate 5 start
Answer:
-9k
Step-by-step explanation:
\(-\left(8k\right)=-8k\\-k-8k\\-k-8k=-9k\)
What is the difference between midpoint and perpendicular bisector?
Answers
Answer:The midpoint can be any middle part of a line, and the perpendicular Bisector is can only be 90 degrees.
Solve the system of equations:
y=2x
Y=x^2-3
Answers
Answer:
C
Step-by-step explanation:
The two solutions are (-1,-2) and (3,6)
5x + 1/2 y^2 What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
Answers
Answer:
16
Step-by-step explanation:
5x+1/2y^2
5(3)+1/2(2)^2
15+1^2
15+1=16
The solution to a problem is an irrational number. Which statement is true about the solution?
Answers
Group of answer choices.
A. It can be expressed as a non repeating, non terminating decimal.
B. It can be a perfect square
C. It cannot be pie π
D. It is not possible to have a irrational number solution.
Answer:
A. It can be expressed as a non repeating, non terminating decimal.
Step-by-step explanation:
An irrational number can be defined as real numbers that cannot be expressed as a simple fraction or ratio of two integers.
Additionally, it is the opposite of a rational number and as such its decimal is continuous without having any repetition or termination. For example, pie (π) = 3.14159 is an example of an irrational number.
Assuming the solution to a mathematical problem is an irrational number. The statement which is true about the solution is that it can be expressed as a non-repeating, and non-terminating decimal.
Which statements are true about expressions? Select all that apply.
A Expressions have no equal signs.
B
Letters are called variables.
C
An expression has only 2 terms.
D
A number without a variable is called a constant.
Answers
Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.
Answers
Step-by-step explanation:
Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.
There are a lot of tiles to drag onto the board.
You would need to create a rectangle from 99 tiles.
80 is a multiple of 10, so it has factors of 10 and 8, which add to 18.