A square room has a floor area of 81 square feet. the height of the room is 5 what is the area of one wall
Answers
Answer:
45 square feet
Step-by-step explanation:
Area of square and area of rectangle:
Area of square = 81 square feet
\(\sf \boxed{Side \ of \ square = \sqrt{area}}\)
\(\sf = \sqrt{81}\\\\ = \sqrt{9*9}\\\\ = 9 \ feet\)
height = 5 ft
length of wall = 9 ft
Area of one wall = length * height
= 9 * 5
= 45 square feet
Related Questions
rofessional sample surveys use careful random samples, usually by randomly dialing telephone numbers, to come close to an SRS. But the results that a sample survey actually obtains may be strongly biased because (select the two that apply)... Group of answer choices many people refuse to respond to telephone surveys. surveys report only what their sponsors want to hear. not everyone has a telephone. the margin of error is too large.
Answers
The source of bias in the survey embarked upon would stem from that 'many people refuse to respond to telephone surveys.'
The behaviour whereby people refuse to respond to telephone surveys is called non-response bias. It can occur for a variety of reasons, such as people being too busy, not interested in the survey, or not trusting the surveyor. Non-response bias can lead to the survey results being inaccurate, as the people who do respond may not be representative of the population as a whole.
Therefore , the presence of bias would likely stem from the fact that "many people refuse to respond to telephone surveys."
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a solid sculpture consists of a $4 \times 4 \times 4$ cube with a $3 \times 3 \times 3$ cube sticking out, as shown. the vertices of the smaller cube lie on the edges of the large cube, the same distance along each. what is the total volume of the sculpture?
Answers
The total volume of the sculpture is 87.625 cubic units. The total volume of the solid sculpture can be calculated by adding the volume of the larger cube and the smaller cube, then subtracting the overlapping volume.
The larger cube has dimensions of 4 × 4 × 4, so its volume is 4³ = 64 cubic units. The smaller cube has dimensions of 3 × 3 × 3, so its volume is 3³ = 27 cubic units.
The smaller cube is attached to the larger cube such that one of its vertices touches the edges of the larger cube, which means that 1/8 of the smaller cube is inside the larger cube. To find the overlapping volume, we need to calculate 1/8 of the volume of the smaller cube: (1/8) × 27 = 3.375 cubic units.
Now we subtract the overlapping volume from the sum of the volumes of both cubes to find the total volume of the sculpture:
64 (larger cube) + 27 (smaller cube) - 3.375 (overlapping volume) = 87.625 cubic units.
So, the total volume of the sculpture is 87.625 cubic units.
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in the figure below which term best describes point W?
Answers
Answer: D. Incenter
Step-by-step explanation:
The point W is made with straight lines, so it is the incenter. I hope this helps!!
Determine the rank of matrix A if possible from the given information.
a. A is an n-by-n matrix with linearly independent columns.
b. A is a 6-by-4 matrix and Null(A)={0}.
c. A is a 5-by-6 matrix and dim(bull(A))=3.
d. A is a 3-by-3 matrix and det(A)=17.
e. A is a 5-by-5 matrix and dim(Row(A))=3.
f. A is an invertible 4-by-4 matrix.
g. A is a 4-by-3 matrix and Ax=b has either a unique solution or else no solution.
Answers
The rank of matrix A can be determined based on the given information in the question is as follows.
The rank of a matrix refers to the maximum number of linearly independent columns (or rows) in the matrix. From the given information:
a. Since A has linearly independent columns, the rank is equal to n, where n is the number of columns.
b. If Null(A)={0}, it means that the only solution to the homogeneous equation Ax=0 is the trivial solution (where x=0). This implies that the columns of A are linearly independent. Since A is a 6-by-4 matrix, the rank is equal to the number of columns, which is 4.
c. The dimension of the null space (denoted as dim(Null(A))) is equal to the number of linearly independent solutions to the homogeneous equation Ax=0. In this case, dim(Null(A))=3, which means that there are 3 linearly independent solutions. Since A is a 5-by-6 matrix, the rank can be found by subtracting the dimension of the null space from the number of columns: rank(A) = 6 - dim(Null(A)) = 6 - 3 = 3.
d. The determinant of a square matrix measures its invertibility. If det(A) is non-zero, it means that A is invertible, and an invertible matrix has full rank. Therefore, the rank of A is equal to the number of columns, which is 3.
e. The dimension of the row space (denoted as dim(Row(A))) represents the number of linearly independent rows in A. Since dim(Row(A))=3, it means that there are 3 linearly independent rows. Thus, the rank of A is 3.
f. An invertible matrix is non-singular and has full rank. Therefore, if A is a 4-by-4 invertible matrix, its rank is equal to the number of columns, which is 4.
g. If the system Ax=b has either a unique solution or no solution, it means that the column space of A has dimension 3. Hence, the rank of A is 3.
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ten students wrote a test, and the distribution of scores is shown on the frequency table. if the average (arithmetic mean) score is 62, what is the value of x ?
Answers
From the given information, the value of x in the given table is 42.5.
To find the value of x, we can use the formula for the arithmetic mean (average) of a set of numbers:
Arithmetic mean = (sum of all numbers) / (number of numbers)
Given that the average score on the test is 62, we can use this information to find the sum of all the scores.
Given that number of students is 1,2,3 and 4 with scores of 40,55,70 respectively, we can use this information to find the sum of all the scores.
Sum of all scores = (1 * 40) + (2 * 55) + (3 * 70) + (4 * x)
Now we can substitute the given average score and the number of students into the equation and solve for x.
62 = (1 * 40) + (2 * 55) + (3 * 70) + (4 * x) / 10
620 = 40 + 110 + 210 + 4x
4x = 170
x = 42.5
So, the value of x is 42.5
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The complete question is -
ten students wrote a test, and the distribution of scores is shown in the frequency table. if the average (arithmetic mean) score is 62, what is the value of x?
Score - 40, 55, 70, x
Number of students - 1, 2, 3, 4
the whole problem is in the pic below
Answers
Answer:
301.733% increase
Step-by-step explanation:
PLS HELPPP
9.58
10.63
11.56
12.29
Answers
Answer:
10.63
Step-by-step explanation:
Pythagorean Theorem:
Base is 7Height is 87^2+8^2=c^249+64=c^2113=c^2√113=c√113 is about 10.63The triangles are congruent by the SSS congruence theorem. Triangles F G H and V W X are shown. Triangle F G H is rotated about point G and then is shifted to the right to form triangle V W X. Which rigid transformation(s) can map TriangleFGH onto TriangleVWX? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation
Answers
Answer:
C. rotation, then translation
Step-by-step explanation:
edge 2021
I think it's C "rotation, then translation"
not 100% sure so check other answers too
g why would simple linear regression be an inappropriate technique to use to analyze this data and why
Answers
Simple linear regression is an inappropriate technique to use to analyze the data
Because it assumes a linear relationship between the two variables, when in reality there may be other relationships that are more complex. Additionally, linear regression relies on the assumption that there is no multicollinearity between independent variables, meaning that one variable does not have a strong correlation with another variable. If this assumption is violated, then the results of linear regression can be unreliable. Furthermore, linear regression relies on the assumption of normally distributed errors. If this assumption is violated, then the results of linear regression can be biased. Finally, linear regression assumes that there is no autocorrelation between the errors in the model. If this assumption is violated, then the results of linear regression can be unreliable. Therefore, since linear regression relies on a number of assumptions that may not hold true for the given data, it would be an inappropriate technique to use to analyze the data.
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Find the line with the slope m=½ through point (8,1)
Answers
Answer:
\(y=\frac{1}{2}x-3\)
Step-by-step explanation:
\(y-y_1 =m(x-x_1 )\\ y-1=\frac{1}{2} (x-8)\\y=\frac{1}{2}x-3\)
Why do we square the residuals when using the least-squares line method to find the line of best fit?
Answers
We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).
What do you mean by Residuals?We treat both positive and negative disparities equally by squaring the residual values. We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.
We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.
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3 tan x -\(\sqrt{3}\) = 0
please give a step by step answer
Answers
Answer:i d k the answer but would you like to talk i
m bored
Step-by-step explanation:
Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same number she originally thought of. What was Amrita's number?
Answers
Answer:
Amrita's number is 6
Step-by-step explanation:
x Double the unknown number
2x Add 9
2x + 9 Divide the answer by 3
2/3x + 3 Subtract 1
2/3x + 2 Set this equal to the original number
2/3x + 2 = x
-2/3x -2/3x Subtract 2/3x from both sides
2 = 1/3x Multiply both sides by 3
6 = x
Amrita's number was 6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
We can write an expression from the given statement.
{ (2x + 9) ÷ 3 } - 1 = x
Solve for x.
{ (2x + 9) ÷ 3 } - 1 = x
(2x + 9)/3 - 1 = x
2x + 9 - 3 = 3x
Add 3 on both sides.
2x + 9 = 3x + 3
Subtract 9 on both sides.
2x = 3x + 3 - 9
2x = 3x - 6
6 = 3x - 2x
x = 6
We can cross-check.
{(2 x 6 + 9) ÷ 3} - 1 = 6
{(12 + 9) ÷ 3} - 1 = 6
7 - 1 = 6
6 = 6
Thus,
The number was 6.
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You decide to buy a laptop for $750. You make a down payment of $150 and the company will allow you to pay off the remainder in 12 payments over the next year at 13.5% interest with a finance charge of $25. Make a table of all payments over the next year including the initial down payment and finance charge. Show the difference between paying in cash for the laptop and this financial arrangement. Show all equations and calculations you used. Explain the benefits and downsides of financing your laptop and describe when you would advise someone to finance this kind of purchase. Upload your payment table and answers below.
Answers
Total amount paid over the next year including the initial down payment and finance charge = $856
The difference between paying in cash for the laptop and this financial arrangement = $106
Cost of laptop=$750
Down payment=$150
Finance charges = $25
Remaining amount =$600
Amount for 1 month including 13.5 % interest=600/12*13.5/100+600/12
=$56.75
Total amount paid over the next year including the initial down payment and finance charge = 56.75*12+150+25 = $ 856
The difference between paying in cash for the laptop and this financial arrangement = $106
Benefits of financing laptop:
A costly laptop can be yours without having to pay in full.
Bank loans and conventional credit card services are not required.
Numerous retailers provide rewards, flexible payment plans, zero-interest rates, and other benefits.
Downsides of financing laptop:
It's dangerous to borrow money because late payments might result in fees and excessive interest rates.
A credit score may suffer if there is no interest charged.
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David purchased these school supplies: 5 notebooks for $1.29 each 2 pens for $1.19 each 12 pencils for $0.05 each 6 erasers for $0.15 each How much change should David receive from $20?
Answers
Answer:
The answer is $9.67.
Step-by-step explanation:
Notebooks: 5 * 1.29 = 6.45
Pens: 2 * 1.19 = 2.38
Pencils: 12 * 0.05 = 0.60
Erasers: 6 * 0.15 = 0.90
Total: 6.45 + 2.38 + 0.60 + 0.90 = 10.33
Change: 20 - 10.33 = 9.67
A company orders boxed lunches from a deli, which all cost the same price. The
relationship between the number of boxed lunches ordered, x, and the total cost in
dollars of the lunches, y, is represented by a graph drawn in the xy-plane.
If the point (5, 35) lies on the graph, what does the ordered
pair (5, 35) Indicate?
Answers
Answer:
The ordered pair (5, 35) in this context indicates that 5 boxed lunches were ordered and the total cost of those lunches was $35.
In the given graph, the x-coordinate represents the number of boxed lunches ordered (in this case, 5), and the y-coordinate represents the total cost of the lunches (in this case, $35). The point (5, 35) indicates the specific combination of the number of boxed lunches and the corresponding total cost on the graph.
NEED AL THESE ANSWERED!!! 15 POINTS!!!
Simplify the expressions:
① -4c - 6d + 9c + 2d
Select one:
a. 5c - 4d
b. -5c - 4d
c. -4c + 5d
d. 5c + 4d
② 2(-y + 9) + 8y
Select one:
a. -6y + 18
b. -6y + 9
c. 6y + 18
d. 24y
③ -3(-4y + 5) - 8y
Select one:
a. -4y + 5
b. -11y
c. 4y - 15
d. -4y - 15
④ 6c - 8d + 3c +4d
Select one:
a. 9c - 4d
b. -4c + 9d
c. -9c - 4d
d. 9c + 4d
Answers
Number one:
-4c - 6d + 9c + 2d
~Combine like terms
(-4c + 9c) + (-6d + 2d)
~Simplify
5c - 4d (Option A)
Number two:
2(-y + 9) + 8y
~Distribute
-2y + 18 + 8y
~Combine like terms
(-2y + 8y) + 18
~Simplify
6y + 18 (Option C)
Number three:
-3(-4y + 5) - 8y
~Distribute
12y - 15 - 8y
~Combine like terms
4y - 15 (Option C)
Number four:
6c - 8d + 3c + 4d
~Combine like terms
(6c + 3c) + (-8d + 4d)
~Simplify
9c - 4d (Option A)
Best of Luck!
WILL GIVE BRAINLIEST
IN a certain chemical the ratio of zinc to copper is 3 to 11 a jar of the chemical contains 385 grams of copper how many grams of zinc does it contain?
Answers
Answer:
105 grams
Step-by-step explanation:
385/11=35
35 times 3 is 105 grams
Answer:
35 grams
Step-by-step explanation:
3/11= x/385
11x= 385
x= 385/11
= 35 grams
A number is 5 more than two times the amount of a second number. The sum of the two numbers is 35. What are the two numbers?
Answers
Answer: 10 and 25
Step-by-step explanation:
please help!! 15 points! I need 5 and 9 answered
Answers
Answer:
B: Subtraction property of equality
-15/8 + 1/4 = ??????
Answers
Answer:2 1/8 pls give me brainliest
Step-by-step explanation:first step is to change the 1/4 to 2/8. Then add and simplify.
Write the ratio of 24 cats to 16 dogs in simplest form in 3 ways explain or show your work
Answers
Answer:
3:2
3 to 2
3/2
Step-by-step explanation:
24/16 reduces to 3/2.
Answer:
3/2 5/3 12/8
Step-by-step explanation:
Regular= 16oz $3.36 Family Sized= 40 oz $7.60 what is the per ounce for both?
Answers
Answer:
Regular = $0.21 per ounce, Family = $0.19 per ounce
Step-by-step explanation:
Regular
16oz = $3.36
Divide by 16 on both sides
1oz = $0.21
Family
40oz = $7.20
divide by 40 both sides
1oz = $0.19
Which sequence is an arithmetic sequence?
-9, -6, -2, 0
5,7,9,15
3,6,12,24
-7, -3, 1, 5
Answers
Answer:
-7, -3, 1, 5 is an arithmetic sequence
A new refrigerator has a price of $480.00. The store will discount the price by 15% if the purchaser pays in cash. What is the cash price of the refrigerator?
Answers
The cash price of the refrigerator is $408.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, a new refrigerator has a price of $480.00.
The store will discount the price by 15% if the purchaser pays in cash.
Now, the discount is
15% of 480
= 15/100 ×480
= 0.15×480
= 72
Now, 480-72
= $408
Therefore, the cash price of the refrigerator is $408.
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Well I got another, Please help
Answers
Why is it important to keep the two sides of an equation balanced when solving? what other properties do we use to rewrite expressions and equations?.
Answers
"Law of conservation of Mass and Energy", is the reason for which it is important to keep the two sides of an equation balanced when solving.
The other properties that we should consider while rewriting the expressions of an equation is that we should not multiply or divide the expressions by zero on both the sides.
According to the law of conservation of mass, mass is neither generated nor destroyed during a chemical process. For instance, when coal is burnt, the carbon atom in it transforms into carbon dioxide. The carbon atom transforms from a solid to a gas, yet its mass remains constant. Similar to this, according to the law of conservation of energy, energy cannot be generated or destroyed. For instance, kinetic energy is converted to potential energy when a toy vehicle is rolled down a ramp and collides with a wall.
While rewriting expressions of an equation, we should not multiply or divide them by zero, as multiplying or dividing by zero makes two non-equal expressions equal (0 and ∞ respectively.
This is the reason why is it important to keep the two sides of an equation balanced, and that the expressions should not be multiplied or divided by zero.
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Which triangle is a 30°-60-90° triangle?
1st Triangle
2nd Triangle
3rd Triangle
Answers
Answer:
1st Triangle
Step-by-step explanation:
I NEED PART C QUICK
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answers
FILL IN THE BLANK. To find the area between two z-scores on a calculator, use the _____ To find the area between two z-scores on a calculator, use the command V command invNorm normalcdf Click to select your answer(s)
Answers
To find the area between two z-scores on a calculator, we use the command "normalcdf" on most scientific calculators.
This command calculates the area under the normal distribution curve between two specified z-scores. We need to input the two z-scores and the mean and standard deviation of the normal distribution, which can be obtained from the problem statement or by calculating them from the given data.
Another command that is used in conjunction with "normalcdf" is "invNorm". This command can be used to find the z-score corresponding to a given area under the normal distribution curve. It is used when we are given the area and we need to find the corresponding z-score.
Together, these two commands are useful for solving problems that involve normal distributions, such as finding probabilities, finding critical values, or constructing confidence intervals. It is important to understand how to use these commands properly in order to perform accurate and efficient calculations.
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