The twelve-inch square tiles are shipped in boxes of 20 pieces per box. Each of the boxes weighs 36 pounds. Approximately how many ounces does each tile weigh?
Each twelve-inch square tile weighs approximately 27 ounces.
To calculate the weight of each tile in ounces, we need to convert the weight of the box from pounds to ounces and divide it by the number of tiles in the box. Since there are 16 ounces in a pound, the weight of each box is 36 pounds * 16 ounces/pound = 576 ounces.
If there are 20 tiles in each box, we divide the weight of the box (576 ounces) by the number of tiles (20) to get the weight of each tile: 576 ounces / 20 tiles = 28.8 ounces. Rounding to the nearest ounce, each twelve-inch square tile weighs approximately 27 ounces.
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Hurry I need to get this done
A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.
B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.
C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.
D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.
So A. is the correct answer.
Answer:
A. (2,4), (2,7)
Hope you could get an idea from here.
Doubt clarification - use comment section
Which of the following represents "10 less than n"?
Answer:
n - 10
Step-by-step explanation:
10 is less than n so subtract 10 from n
Suppose the population of sardines is currently 6 million, and the population of sharks is 367 . Use dx
dy
to estimate what the population of sharks will be if the population of sardines decreases to 5 million. Notes: - You are not estimating the value on the graph, you are estimating using the derivative - Remember that y represents the population of sharks in hundreds - Your answer should be correct to one decimal place
Therefore, the estimated population of sharks would be approximately 368.2 (in hundreds) when the population of sardines decreases to 5 million.
To estimate the population of sharks when the population of sardines decreases from 6 million to 5 million, we can use the given derivative dx/dy.
Let's assume that x represents the population of sardines in millions and y represents the population of sharks in hundreds. We need to find dy/dx (the derivative of the population of sharks with respect to the population of sardines) and use it to estimate the change in the population of sharks.
Given that dx/dy = 367, we can write the derivative as dy/dx = 1 / (dx/dy).
dy/dx = 1 / 367
Now, we can estimate the change in the population of sharks when the population of sardines decreases by 1 million:
Change in x = 6 - 5 = 1 million
Estimated change in y = dy/dx * Change in x
Estimated change in y = (1 / 367) * 1
To find the estimated population of sharks, we add the estimated change in y to the initial population of sharks:
Estimated population of sharks = Initial population of sharks + Estimated change in y
Since the initial population of sharks is given as 367 (in hundreds), and the estimated change in y is a decimal value, we need to convert the estimated change in y to hundreds by multiplying it by 100:
Estimated population of sharks = 367 + (1 / 367) * 1 * 100
Calculating this expression gives us the estimated population of sharks when the population of sardines decreases to 5 million.
Estimated population of sharks ≈ 368.2 (to one decimal place)
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1. The solution of the differential equation y'-y = x
2. The differential equation y' = sqrt(x+y+1) -1 has the solution
Given
1. y'-y = x
2. y' = sqrt(x+y+1) -1
Solution
To solve the differential equation y' - y = x, we can use the method of integrating factors.First, we must rewrite the equation as follows:
y' - y = f(x)
where f(x) = x. Then, we can multiply both sides by the integrating factor e^(-x):
e^(-x) y' - e^(-x) y = xe^(-x)
The product rule can be used to rewrite the left side:
(e^(-x) y)' = xe^(-x)
When we integrate both sides in relation to x, we get:
e^(-x) y = ∫xe^(-x) dx + C
where C is the constant of integration. The integral on the right-hand side can be evaluated using integration by parts:
∫xe^(-x) dx = -xe^(-x) - ∫e^(-x) dx = -xe^(-x) - e^(-x) + D
where D is another constant of integration. As a result, the differential equation's solution is:
y = e^x (∫xe^(-x) dx + C) + De^x
Substituting the integral back in, we get:
y = x - 1 + Ce^x + De^x
where C and D are constants.
To solve the differential equation y' = sqrt(x+y+1) -1, we can use separation of variables. First, we can add 1 to both sides of the equation:
y' + 1 = sqrt(x+y+1)
Then, we can square both sides:
(y' + 1)^2 = x+y+1
Expanding the left-hand side and simplifying, we get:
y'^2 + 2y' + 1 = x+y+1
Rearranging the terms, we get:
y'^2 + 2y' - y = x
This is a nonlinear first-order differential equation, which cannot be solved using separation of variables or integrating factors. However, we can recognize it as a Bernoulli equation, which can be transformed into a linear differential equation by making the substitution:
u = y' - 1
Then, we have:
y' = u + 1
y'' = u''
We get by substituting these expressions into the original equation and simplifying:
(u+1)^2 - (u+1) - y = x
u^2 + u - y - x = 0
This is a quadratic equation in u, which can be solved using the quadratic formula:
u = (-1 ± sqrt(1 + 4y + 4x))/2
Substituting back the expression for u, we get:
y' = (-1 ± sqrt(1 + 4y + 4x))/2 + 1
y' = (-1 ± sqrt(1 + 4y + 4x))/2 + 2/2
y' = (-1 ± sqrt(1 + 4y + 4x) + 2)/2
y' = (sqrt(1 + 4y + 4x) - 1)/2
This is the solution to the differential equation.
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What is the one-day VaR of a $50m portfolio with a daily standard deviation of 2% at a 95% confidence level
The one-day VaR of a $50 million portfolio with a daily standard deviation of 2% at a 95% confidence level is $1.65 million.
The VaR at a specific confidence level represents the maximum expected loss within a certain time frame. In this case, we are interested in the one-day VaR at a 95% confidence level.
The formula to calculate VaR is:
VaR = Portfolio Value * z * Daily Standard Deviation
Where:
- Portfolio Value is the value of the portfolio ($50 million in this case).
- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.645.
- Daily Standard Deviation is the daily standard deviation of the portfolio returns (2% in this case).
Plugging in the values into the formula:
VaR = $50,000,000 * 1.645 * 0.02
VaR ≈ $1,645,000
Therefore, the one-day VaR of a $50 million portfolio with a daily standard deviation of 2% at a 95% confidence level is $1.65 million.
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Please answer this with an explanation:
Answer:
-2
Step-by-step explanation:
PT = TQ
3x + 4 = 5x - 8
-3x -3x
4 = 2x - 8
-8 -8
-4 = 2x
÷2 ÷2
x= -2
sooo
3 times -2 +4 = -2
choose the best answer:
the area of a right triangle is 12in^2. the ratio of the length of its legs is 2:3. Find the length of the hypotenuse.
a) square root is 13 in
b) 26 inches
c) 2 square root of 13
d) 52 inches
e) 4 square root of 13
Answer:
The length of the hypotenuse is 2 square root of 13 ⇒ c
Step-by-step explanation:
The rule of the area of the right triangle is A = \(\frac{1}{2}\) × leg1 × leg2, where
leg1 and leg2 are the sides of the right angle
∵ The area of a right triangle is 12 in²
∵ The ratio of the length of its legs is 2: 3
→ Let leg1 = 2x and leg2 = 3x
∵ leg1 = 2x and leg2 = 3x
→ Substitute them in the rule of the area above
∴ 12 = \(\frac{1}{2}\) × 2x × 3x
∵ 2x × 3x = 6x²
∴ 12 = \(\frac{1}{2}\) × 6x²
∴ 12 = 3x²
→ Divide both sides by 3 to find x²
∴ 4 = x²
→ Take √ for both sides
∴ x = 2
→ Substitute x in the expressions of leg1 and leg2 to find them
∴ leg1 = 2(2) = 4 inches
∴ leg2 = 3(2) = 6 inches
∵ hypotenuse = \(\sqrt{(leg1)^{2}+(leg2)^{2}}\)
∴ hypotenuse = \(\sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}\)
∵ The simplest form of \(\sqrt{52}\) = 2\(\sqrt{13}\)
∴ The length of the hypotenuse = 2\(\sqrt{13}\) inches
Enter the correct answer in the box.
Write the expression 12-2 in simplest form.
Answer:6 - 1 = 5
Step-by-step explanation: 12 / 2 = 6. 2 / 2 = 1.
The sports book at the highroller Casino put the odds of a certain baseball team to win the World Series at one; 25 (1 to 25). Based on those odds, what is the probability that this baseball team will win the World Series?
There is a 3.8% chance that this baseball team will win the World Series.
If the sports book at the highroller Casino put the odds of a certain baseball team to win the World Series at 1:25, it means that for every one time the team wins, they will lose 25 times.
To calculate the probability, we need to use the following formula:
\(Probability = \frac{ Number of times the event will occur }{Total number of possible outcomes}\)
In this case, the number of times the team will win is 1, and the total number of possible outcomes is 1 + 25 = 26 (1 win + 25 losses).
Therefore, the probability of this baseball team winning the World Series is:
\(\frac{1}{26} = 0.038 or 3.8%\)
So, based on the odds given by the sports book, there is a 3.8% chance that this baseball team will win the World Series.
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75 push-ups in 5 days =
push-ups per day
Answer:
Step-by-step explanation:
75 divided by 5= 15
15 pushups per day
in a game using two dice, a person wins if the outcome is a prime number. Find the probability of winning.
Answer:
45% I think because prime numbers are 5/ the 11 possible numbers when rolling two die
1. 76x8. 2. 84x9
3. 68x4
4. 32x6 PART 1
5. 59x7
6. 74x8
7. 68x8
8. 95x9
9. 84x5
10. 22x4
11. 48x5
12. 84x8
13. 76x9
14. 89x9
15. 63x5
16. 32x9
17. 63x8
18. 79x9
19. 78x5
20. 49x4
21. 94x6
The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
1. 76 x 8 = 608
2. 84 x 9 = 756
3. 68 x 4 = 272
4. 32 x 6 = 192
PART 2
5. 59 x 7 = 413
6. 74 x 8 = 592
7. 68 x 8 = 544
8. 95 x 9 = 855
9. 84 x 5 = 420
10. 22 x 4 = 88
11. 48 x 5 = 240
12. 84 x 8 = 672
13. 76 x 9 = 684
14. 89 x 9 = 801
15. 63 x 5 = 315
16. 32 x 9 = 288
17. 63 x 8 = 504
18. 79 x 9 = 711
19. 78 x 5 = 390
20. 49 x 4 = 196
21. 94 x 6 = 564
Therefore, The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564
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Play play players are 3/10 of a band and the trumpet players are 1 / 12 of the band. is a greater fraction of the bands flute players or trumpet players
The fraction which is greater is 3/10. That means there are more flute players than trumpet players in the band.
How do you prove that?Perhaps what you meant was "Which is the greater fraction of the bands: flute players or trumpet players?"
First of all, we need to make the denominators of fraction 3/10 and 1/12 the same so we can actually compare the given fractions. To do this, we can take the least common multiple (LCM) of the denominators and multiply the numerator and denominator of each fraction by certain numbers so that the denominators equal to the LCM.
The multiples of 12 are 12, 24, 36, 48, 60 etc. The multiples of 10 are 10, 20, 30, 40, 50, 60 etc. Notice that the first common multiple is 60. That's the LCM of 12 and 10.
\(\frac{3\times 6}{10\times 6}=\frac{18}{60}\)\(\frac{1\times 5}{12\times 5}=\frac{5}{60}\)3/10 is equal to 18/60 while 1/12 is equal to 5/60. 18 is greater than 5 so the first fraction is greater, which means there are more flute players than there are trumpet players in the band.
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can pls help meeeeeeeeee
Answer:
The equation has no solution
Step-by-step explanation:
\({ \tt{a + 5(2a - 1) + 3 = 11a - 2}} \\ { \tt{a + 10a - 5 + 3 = 11a - 2}} \\ { \tt{11a - 2 = 11a - 2}} \\ { \tt{11a - 11a = - 2 + 2}} \\ { \red{ \tt{0 = 0}}}\)
Answer:
D, or Infinite Solutions
Step-by-step explanation:
We have the equation a + 5(2a - 1) + 3 = 11a - 2
Solve the equation and see if there's a solution or not.
a + 5(2a) - 5(1) + 3 = 11a - 2
a + 10a - 5 + 3 = 11a - 2
11a - 2 = 11a - 2
Since both equations are the same, then any value of a will satisfy the equation, making it have infinite solutions. Hope this helps.
solve 7+3(2g-6)= -29
Answer:
g=-3
Step-by-step explanation:
7+3(2g-6)=-29
7+6g-18=-29
6g=-29+18-7
6g=-18
g=-3
I think this is the right answer :D hope this helps ;)
Answer:
g = -3Step-by-step explanation:
\(7+3(2g-6)= -29\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\\\7+3\left(2g-6\right)-7=-29-7\\\\Simplify\\\\3\left(2g-6\right)=-36\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3\left(2g-6\right)}{3}=\frac{-36}{3}\\\\Simplify\\\\2g-6=-12\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\\\2g-6+6=-12+6\\\\Simplify\\\\2g =-6\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\\\frac{2g}{2}=\frac{-6}{2}\\\\Simplify\\\\g =-3\)
How is the denominator and numerator of your answer related to the model? Explain
The terms denοminatοr and numeratοr are nοt directly related tο a mοdel unless the mοdel invοlves a fractiοn οr a ratiο.
What is denοminatοr and numeratοr?The denοminatοr and numeratοr are terms οften used in mathematics and fractiοns. In a fractiοn, the numeratοr is the tοp number, and the denοminatοr is the bοttοm number. The numeratοr represents the number οf parts being cοnsidered οr cοunted, while the denοminatοr represents the tοtal number οf parts in the whοle.
The terms denοminatοr and numeratοr are nοt directly related tο a mοdel unless the mοdel invοlves a fractiοn οr a ratiο.
Hοwever, in statistical mοdels, the dependent and independent variables can be thοught οf as the numeratοr and denοminatοr οf a ratiο οr a fractiοn. The dependent variable represents the numeratοr, the number οf events οr οbservatiοns οf interest, while the independent variable represents the denοminatοr, the tοtal number οf events οr οbservatiοns.
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Santiago has p peppermints. Mitchell has 63 fewer peppermints than Santiago. Write an expression that shows how many peppermints Mitchell has.
Find the solution of the system of equations.
x−6y=1
−6x+6y= −6
Answer:
x=6y+1
x=y+1
Step-by-step explanation:
the arithmetic mean of six grades is 87. if the lowest grade is dropped, the mean is 89. what is the lowest grade?
The arithmetic mean of six grades is 87. if the lowest grade is dropped, the mean is 89. The lowest grade is 77.
We are given the following information:
1. The arithmetic mean of six grades is 87.
2. If the lowest grade is dropped, the mean is 89.
3. We need to find the lowest grade.
Let's begin by calculating the sum of the six grades. To do this, we multiply the arithmetic mean by the number of grades:
Sum of six grades = Mean × Number of grades
Sum of six grades = 87 × 6
Sum of six grades = 522
Now, let's calculate the sum of the remaining five grades after dropping the lowest grade:
Sum of five grades = Mean × Number of grades
Sum of five grades = 89 × 5
Sum of five grades = 445
To find the value of the lowest grade, we subtract the sum of the five grades (after dropping the lowest grade) from the sum of all six grades:
Lowest grade = Sum of six grades - Sum of five grades
Lowest grade = 522 - 445
Lowest grade = 77
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a __________ is a vertical cylinder of rotating air that ranges from 3–10 km in diameter.
Answer: Mesocyclone
Step-by-step explanation:
To vary two inputs or decision variables and see how the changes in these quantities change a single output, what kind of table can we use?
a. Pivot Table
b. One-way Table
c. Summary Table
d. Two-way Table
When we vary two inputs or decision variables and want to see how the changes in these quantities change a single output.
When we vary two inputs or decision variables and want to see how the changes in these quantities change a single output, the table we use is called the Two-way Table.A two-way table is a table that shows the frequency distribution of categorical data in two different ways. It has two rows and two columns with one categorical variable defining the row and the other defining the column.To display the distribution of one variable along one dimension and the distribution of the other variable along the other dimension, we use a two-way frequency table. It's the same as a contingency table, but it includes frequency counts for each mix of the two variables.A two-way table is used in statistics to show the distribution of data when two different variables are taken into account. It is created to make comparisons between data in a tabular format to highlight correlations or relationships between the variables. Hence, the correct answer is the option d. Two-way Table.
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given that x=6 and y = -4, elevate the each of the following expressions.
5x over 3y + x
Step-by-step explanation:
Substitute the given values into the expression;
\(\frac{5(6)}{3(-4)} +6\)
Multiply;
\(\frac{30}{-12} +6\)
Divide;
30 and -12 aren't common factors. To get to 30 with -12, you need to multiply -12 by -2.5.
\(-2\frac{1}{2} +6\)
Add;
\(3\frac{1}{2} \; or \; 3.5\)
Which of the following have the same vaule as 2.3×3.4 select three that apply
A, C, and E
Any numbers that, when multiplied, produce the number 7.82 have the same value as 2.3 * 3.4. Some numbers include 2 * 3.91 and 17 * 0.46. A, C, and E, when simplified all equal 7.82
Find the value of x proportions in triangles
Answer:
the question is incomplete
solve for x
9x-2/5=2x-2
Answer:
x= -8/35
Step-by-step explanation:
Find an equation for the level surface of the function through a given point. x - y + 2z/2x + y - z, (3, 0, -1) An equation for the level surface passing through the point (3, 0, 1) is z =
the equation for the level surface passing through the point (3, 0, 1) is x + 2y - 3z = 0. The given function is f(x, y, z) = (x - y + 2z) / (2x + y - z). We are asked to find an equation for the level surface passing through the point (3, 0, 1).
To find the equation for the level surface, we need to set the function equal to a constant value and solve for z.
Let's start by substituting the coordinates of the given point into the function:
f(3, 0, 1) = (3 - 0 + 2(1)) / (2(3) + 0 - 1)
= 5 / 5
= 1
So, the constant value for the level surface passing through (3, 0, 1) is 1.
Now, let's set the function equal to 1 and solve for z:
1 = (x - y + 2z) / (2x + y - z)
Cross-multiplying, we get:
2x + y - z = x - y + 2z
Rearranging the terms, we have:
x + 2y - 3z = 0
Therefore, the equation for the level surface passing through the point (3, 0, 1) is x + 2y - 3z = 0.
In summary, the equation for the level surface passing through the point (3, 0, 1) is x + 2y - 3z = 0.
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Write 5.54 million in ordinary form
Answer:
5,540,000Step-by-step explanation:
Write 5.54 million in ordinary form
5.54 * \(10^{6}\) =
5540000
or
5.54 * 1000000 =
5540000
GUYS GUYS I NEED YOUR HELP!!!!
Answer:
\( \dashrightarrow - 4 {x}^{ - 2} y( {2yx}^{3} + {6xy}^{3} - {3y}^{3} {x}^{4} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \dashrightarrow \{- 8 {x}^{( - 2 + 3)} {y}^{(1 + 1)} \} + \{ - 24 {x}^{ (- 2 + 1)} {y}^{(3 + 1)} \\ + \{12 {x}^{( - 2 + 4)} {y}^{(1 + 3)} \} \\ \\ \dashrightarrow{ \boxed{ \tt{ - 8x {y}^{2} - 24 {x}^{ - 1} {y}^{4} + 12 {x}^{2} {y}^{4} }}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
Given AB = CB and AD = CE prove DB = EB
Length DB is congruent to EB because triangle AEB = triangle CDB
What are Similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are equal.
Also the ratio of corresponding sides of similar triangles are equal. This means that for two triangles to be similar the corresponding angles must be equal.
Since AC = CB and the bisector AC and CB are AD and CE respectively. And this bisectors are also equal, automatically, the remaining sides will also be equal.
Therefore DB = EB
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