We are asked to determine the square feet of paint required to paint three walls 8 feet high and 11 feet long. To do that we will determine the area of the walls.
Since each wall has the same dimensions we will determine the area of one wall and multiply the result by 3. The area of a rectangle is given by:
\(A=lh\)Where:
\(\begin{gathered} l=\text{ length} \\ h=\text{ high} \end{gathered}\)Since there are 3 walls we will multiply the area by 3
\(A=3lh\)Now, we substitute the values:
\(A=3\left(8ft\right)\left(11ft\right)\)Solving the operations:
\(A=264ft^2\)Therefore, the area is 264 square feet.
6.4 divided by (-3.2)
Answer:
-2 is the correct answer
Answer:
heyyyy
Step-by-step explanation:
Which is true when
comparing 1/4 and 3/12?
A. 1/4 > 3/12
B. 1/4 < 3/12
C. 1/4 = 3/12
Answer:
C. 1/4 = 3/12
Step-by-step explanation:
First,we have to find the LCM of the denominators which are 4 and 12,and their LCM is 12. So now we have to multiply the both the denominators of the fractions to get the multiple which is 12. So,1/4, we have to find how many times does 12 comes in 4's table,so it comes 3 times,which will be = 4x3= 12. Now 1/4 = 3/12 bc we have to multiply the numerator also with 3 as we did with 4. Now going to the next fraction which is 3/12,for the denominator= 12x1= 12,3x1= 3,so it will be = 3/12. Therefore,both the fractions are equal. Please mark brainliest if you can :)
Given that the real-world distance from Chicago to San Jose is 2,200 miles, the distance from Atlanta to San Jose is
The distance from Atlanta to San Jose is
Answer:
(2,440.1 mi)
compare 5/9 and -3/-8
Answer:
Step-by-step explanation:
5/9 = 0.5(line over 5), 55.5%
-3/8= -0.375%
Since 5/9 is a positive number it is great than the -3/8
Matthew invests $8,586 in a retirement account with a fixed annual interest rate of 5%
compounded continuously. How long will it take for the account balance to reach $23.457"
For each $23.457" borrowed, you would pay about a year $8,586 in interest, as in the case of a credit card with an APR of 5%.
What does annual interest rate mean?An estimate of the annual cost of borrowing money is the annual percentage rate (APR), which is expressed as a percentage of the principal loan amount. An accurate representation of how much borrowing money will cost is sought after by the annual percentage rate (APR) on a credit card or loan. In a different method, the annual percentage rate (APR) of a given loan is the total annual interest payments divided by the loan's outstanding balance. Assuming a credit card with a 10% APR, you would pay $8,586 in interest for every $23.457" borrowed over the course of a year.To learn more about Annual percentage rate (APR) refer to:
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A machine that manufactures automobile pistons is estimated to produce a defective piston 3% of the time. Suppose that this estimate is correct and that a random sample of 80 pistons produced by this machine is taken.
(a) Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
Round your response to at least three decimal places
(a) The mean of the relevant distribution is 2.4 defective pistons.
(b) The standard deviation of the distribution is 1.539.
The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.
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HELP PLEASE I’m having troubles!!!
1. The velocity at time t , v(t) = (18t² + 3 ) m/s
2. The velocity at time t = 3 seconds = 165 m/s
3. The acceleration at time t, a(t) =( 36t )m/s²
4. The acceleration at time t = 3 seconds = 108 m/s²
What is instateanou velocity and acceleration?The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.
Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.
1. s(t) = 6t³ + 3t +9
to find the velocity at time t, we differentiate s(t)
= 18t² + 3
2. at t = 3s
= 18(3)² +3
= 165 m/s²
3. v(t) = 18t² + 3
to get the acceleration at time t, we differentiate v(t)
= 36t
4. when t = 3
a = 36 × 3
= 108 m/s²
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Need help will give brainliest
The equation formed after the transformations is given as follows:
\(g(x) = \frac{1}{6}\sqrt{x + 3}\)
How to obtain the function?The parent function in this problem is defined as follows:
\(f(x) = \sqrt{x}\)
For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:
\(g(x) = \frac{1}{6}\sqrt{x}\)
For the translation left 3 units, we have that x -> x + 3, hence:
\(g(x) = \frac{1}{6}\sqrt{x + 3}\)
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How to use Pascal’s triangle to find x^2 using the difference quotient formula
Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.
To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:
1. Write the second row of Pascal's triangle: 1, 1.
2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.
3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.
4. Apply the difference quotient formula: f(x + h) - f(x) / h.
5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.
6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.
7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.
8. Divide both terms in the numerator by h: 2x + h.
9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.
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A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1ż cups of granulated sugar, and 4 cups of
frozen raspberries, thawed. How many gallons of water would the recipe call for if a school made 320 servings for
students to eat at lunch?
O 4 gallons
O 8 gallons
O 40 gallons
O 80 gallons
its 4 gallons.
Answer:
\(\huge\boxed{\sf 320\ servings = 4\ gallons}\)
Step-by-step explanation:
1 gallon = 16 cups (STANDARD)
For 10 servings:
10 servings = 2 cups of water
10 servings = 2 / 16 gallons
10 servings = 0.125 gallons
For 320 servings:
10 servings = 0.125 gallons
Multiply both sides by 32
10 * 32 servings = 0.125 * 32 gallons
320 servings = 4 gallons
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Answer: The answer is 4 gallons.
Step-by-step explanation: A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1/1.2 cups of granulated sugar, and 4 cups of frozen raspberries. So the Answer is 4 gallons
Sorry but someone got ride of it so i hade to add it again please mark brainliest :)
What is 3/11 simplified
An economy is operating with output $400 billion above its natural level, and fiscal policymakers want to close this expansionary gap. The central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. The marginal propensity to consume is 3/4, and the price level is completely fixed in the short run.
to close the expansionary gap, the government would need to increase or decrease spending by $ billion.
Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.
To close the expansionary gap, the government would need to decrease spending by $100 billion.
The formula to calculate the change in equilibrium output due to a change in government spending is:
∆Y = (∆G / (1 - MPC))
Where:
∆Y = change in equilibrium output
∆G = change in government spending
MPC = marginal propensity to consume
Here, the output is $400 billion above its natural level, and the central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. Therefore, we can assume that the change in government spending (∆G) would have a one-to-one effect on the equilibrium output (∆Y).
Given that MPC = 3/4, we can plug in the values into the formula:
400 = (∆G / (1 - 3/4))
∆G = (1 - 3/4) * 400
∆G = (1/4) * 400
∆G = 100
Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.
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need to paint an entire cylindrical tank (all sides) it is 29ft long and 9ft diameter find the total surface area.
I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
Polly bought a cracker for $7 and then bought a parrot for $2. By how much did Polly's account change after her transactions?
Answer:
\(Changes = -\$9\)
Step-by-step explanation:
Given
\(Cracker = \$7\)
\(Parrot = \$2\)
Required
Determine the changes in the account
First, we need to determine the total amount spent;
\(Total = Cracker + Parrot\)
\(Total = \$7 + \$2\)
\(Total = \$9\)
Hence, the changes in her account is a debit of $9 i.e. -$9
What is the unit rate of the equation below? y = 2x + 8
Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)Does standard deviation means independent events
Standard deviation does not mean independent events.
Does standard deviation means independent events?No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.
Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.
Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.
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Find the equation of the linear function represented by the table below in slope-intercept form.
x y
-3 -12
2 13
7 38
12 63
Answer:
\(y=5x+3\)
Step-by-step explanation:
Consider the points \((-3,-12)\) and \((2,13)\).
\(m=\frac{-12-13}{-3-2}=5 \\ \\ y-13=5(x-2) \\ \\ y-13=5x-10 \\ \\ y=5x+3\)
In the figure shown,trapezoid RSTU has vertices R(1,3),S(4,3),T(3,1),and U(2,1).
Draw the image RSTU after a dilation with a scale factor of 2,followed by a translation of 2 units down.Label the vertices EFGH
i need help!!!! does anyone know this..!!???
The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.
How to determine the period of the frequency factor b given above?The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.
The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.
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6x - 2y = 18
3x + 4y= -6
Which of the following ordered pairs (x, y) is the
solution to the system of equations shown above?
A. (-3,2)
B. (-2,3)
C. (2, -3)
D. (3,-2)
Answer:
C. (2, -3)
Step-by-step explanation:
Easiest and fastest way to get the solution set is to graph the systems of equations and analyze where the graphs intersect.
There were 120 tickets sold for a band concert and 3/4 of those were student tickets how many adult tickets for the concert were sold
Answer:
30 because if u divided 120 by 4 its 30 and the parents get 1/4 so its 3....... 30/120
PLEASE HELP ME SOMEONE!!!
Which bag if candy is the better buy and why? (Trents mom shopping)
Answer:
almond joy
Step-by-step explanation:
its good in my opinion
Erick and Mia live the same distance from the park and decide to meet at
the park one afternoon. The graphs show their distances from home over
the same 30-minute period as they walked to the park. Each section of
each graph represents 10 minutes.
Which of these statements are true?
Mia returned too her house after 10 minutes. T or F
Mia left her house 10 minutes before Erick left his house. T or F
It took Erick only 10 minutes to walk to the park. T or F
Erick and Mia arrived at the park at the same time. T or F
Erick walked the same distance as Mia during the last 10 minutes. T or F
B, Mia departed her home ten minutes before Erick did.
D, Erick, and Mia all showed up simultaneously at the park.
E, In the previous ten minutes, Erick and Mia both walked the same distance.
What distinguishes a graph from a chart ?A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).
A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.
According to the given information
According to the information given in the graph
We got the following true Statements
B, Mia departed her home ten minutes before Erick did.
D, Erick, and Mia all showed up simultaneously at the park.
E, In the previous ten minutes, Erick and Mia both walked the same distance.
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Three different recipes each make a different number of cookies and require a different amount of flour.
Recipe 1: 2 dozen cookies; 1.5 cups of flour
Recipe 2: 3 dozen cookies; 3 cups of flour
Recipe 3: 4 dozen cookies; 4.5 cups of flour
Determine if the three recipes use a proportional amount of flour.
Yes, it is proportional because the cookies increase by 1 dozen for every 1.5 cups of flour.
Yes, it is proportional because the ratios between the number of cookies and cups of flour are all equivalent.
No, it is not proportional because the number of cookies and cups of flour could not be zero at the same time.
No, it is not proportional because the ratios between the number of cookies and cups of flour are not all equivalent.
Answer:Yes, it is proportional because the cookies increase by 1 dozen for every 1.5 cups of flour.
Step-by-step explanation:
The correct statement is (D) No, it is not proportional because the ratios between the number of cookies and cups of flour are not all equivalent.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that:
Three different recipes each make a different number of cookies and require a different amount of flour.
From the recipe:
The ratios of the number of cookies to the number of cups of flour:
For recipe 1:
= 24/1.5 = 16
For recipe 2:
= 36/3 = 12
For recipe 3:
= 48/4.5 = 10.66
No, it is not proportional because the ratios between the number of cookies and cups of flour are not all equivalent.
Thus, the correct statement is (D) No, it is not proportional because the ratios between the number of cookies and cups of flour are not all equivalent.
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Triangle ABC was dilated with the origin as the center of dilation to create triangle AB'C
Which statement about triangle A’B’C’ appears to be true?
A. The side lengths of triangle A’B’C are each 1/3 the corresponding side lengths of triangle ABC, and the angle measures of triangles A’B’C’ are the same as the measures of the corresponding angles of triangle ABC.
B. The side lengths of triangle A’B’C’ are each 3 times the corresponding side lengths of triangle ABC, and the angle measures of triangle A’B’C’ are the same as the measures of the corresponding angles of triangle ABC.
C. The side lengths of triangle A’B’C’ are each 1/3 the corresponding side lengths of ABC, and the angle measures of triangle A’B’C’ are 1/3 measures of the corresponding angles of triangle ABC.
D. The side lengths of triangle A’B’C’ are each 3 times the corresponding side lengths of triangle ABC, and the angle measures of triangle A’B’C’ are 3 times the measures of corresponding angles of triangle ABC.
The true statement about triangle A’B’C’ is The side lengths of triangle A’B’C’ are each 3 times the corresponding side lengths of triangle ABC, and the angle measures of triangle A’B’C’ are the same as the measures of the corresponding angles of triangle ABC.
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given that, a triangle ABC was dilated with the origin as the center of dilation to create triangle A'B'C'
According to the graph,
The dilation is an enlargement, so scale factor can not be less than 1,
The length of BC = 3 units
The length of B'C' = 9 units
Scale factor = 9 / 3 = 3
Therefore, the side lengths of triangle A’B’C’ are each 3 times the corresponding side lengths of triangle ABC,
Also, we know that in any transformation, angles do not change,
Therefore, the angle measures of triangle A’B’C’ are the same as the measures of the corresponding angles of triangle ABC.
Hence, the true statement about triangle A’B’C’ is The side lengths of triangle A’B’C’ are each 3 times the corresponding side lengths of triangle ABC, and the angle measures of triangle A’B’C’ are the same as the measures of the corresponding angles of triangle ABC.
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URGENT PLZ HELP
for what values of X and Y is quadrilateral ABCD a parallelogram
Answer:
x = 9
y = 3
Step-by-step explanation:
Since this is a quadrilateral the opposite side lengths must be equal
5x - 20 = 7x - 38
38 - 20 = 7x - 5x
18 = 2x divide both sides by 2
9 = x same goes for y
6x - 31 = 4y + 11 we already know x = 9 so
6×9 - 31 = 4y + 11
54 - 31 - 11 = 4y
12 = 4y divide both sides by 4
3 = y
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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