Answers
The cube of a monomial ((-2/3)a⁵)³ will be (-8/27)a¹⁵.
What is a monomial?A monomial is an expression in algebra that contains one term, like 3xy. Monomials include numbers, variables or multiple numbers and/or variables that are multiplied together.
(-8/27)a¹⁵ = (-2/3)³.(a⁵)³ = ((-2/3)a⁵)³
⇒ (-8/27)a¹⁵ = ((-2/3)a⁵)³.
So, we can write ((-2/3)a⁵)³ as the cube of a monomial (-8/27)a¹⁵.
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Related Questions
-.8x+40-8x-35 simplified
Answers
Which two operations are needed to write the expression that represents "five less than the quotient of a number anc
three"?
multiplication and subtraction
division and subtraction
multiplication and addition
division and addition
Answers
Answer:
Division and subtraction/B
have a good day/night :)
Find the approximate number of batches to the nearest whole number of an Hom that should be produced any 280.000 het be made eest unit for one you, and it costs $100 to set up the factory to produce each A.batch 18 batches B.27 batches C.20 batches D.25 batches
Answers
To find the approximate number of batches to the nearest whole number that should be produced, we need to divide the total number of units (280,000) by the number of units produced in each batch.
Let's calculate the number of batches for each option:
A. 18 batches: 280,000 / 18 ≈ 15,555.56
B. 27 batches: 280,000 / 27 ≈ 10,370.37
C. 20 batches: 280,000 / 20 = 14,000
D. 25 batches: 280,000 / 25 = 11,200
Rounding each result to the nearest whole number:
A. 15,555.56 ≈ 15 batches
B. 10,370.37 ≈ 10 batches
C. 14,000 = 14 batches
D. 11,200 = 11 batches
Among the given options, the approximate number of batches to the nearest whole number that should be produced is:
C. 20 batches
Therefore, approximately 20 batches should be produced to manufacture 280,000 units.
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An arts academy requires there to be 6 teachers for every 144 students and 3 tutors for every 33 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 99 students?
Answers
Answer: 24 students per teacher. 11 students per tutor. 99 students need 9 tutors.
Per teacher-
6 teachers for 144 students
1 teacher for 144/6 = 24 students
Per tutor-
3 tutors for 33 students
1 tutor for 33/3= 11 students
33 students need 3 tutors
1 student needs 3/33 = 1/11 tutor
99 students need 99/11 = 9 tutors
Brainliest please!!
Please find an optimal parenthesization of a matrix chain product whose sequence of dimensions is <10, 5, 10, 4, 8>. Please show your works. Also, explain the computational complexity and real cost of calculating the matrix chain product.
Answers
The optimal parenthesization for the matrix chain with dimensions <10, 5, 10, 4, 8> is ((M1 x (M2 x M3)) x (M4 x M5)). The computational complexity is O(n^3) and the real cost depends on the dimensions and order of multiplication of the matrices involved.
Matrix Chain Multiplication Algorithm:
Let's denote the sequence of dimensions as D = <10, 5, 10, 4, 8>. We define two matrices: M, for storing the minimum number of scalar multiplications, and S, for storing the optimal split positions.
a) Initialize the matrices M and S with appropriate dimensions based on the size of the sequence D.
b) Set the diagonal elements of M to 0 since multiplying a single matrix requires no scalar multiplications.
c) Perform a bottom-up evaluation of M and S, filling in the values based on the recurrence relation:
M[i, j] = min{M[i, k] + M[k+1, j] + D[i-1] * D[k] * D[j]}, for i ≤ k < j
The optimal parenthesization can be obtained by backtracking through the S matrix.
Optimal Parenthesization for the given sequence D = <10, 5, 10, 4, 8>:
After applying the matrix chain multiplication algorithm, the optimal parenthesization is as follows:
((M1 x (M2 x M3)) x (M4 x M5))
Computational Complexity and Real Cost:
The computational complexity of calculating the matrix chain product using the optimal parenthesization depends on the size of the matrix chain. In the matrix chain multiplication algorithm, we have to fill in the entries of the M and S matrices, which takes O(n^3) operations, where n is the number of matrices in the chain.
The real cost of calculating the matrix chain product involves performing scalar multiplications and additions. The number of scalar multiplications required is equal to the minimum number of scalar multiplications stored in the M matrix, i.e., M[1, n-1]. The real cost can be calculated by summing the products of the dimensions of the matrices involved in the optimal parenthesization.
For example, if we have three matrices with dimensions A[10x5], B[5x10], and C[10x4], and the optimal parenthesization is (A x B) x C, then the real cost is (10510) + (10104) = 500 + 400 = 900.
In general, the real cost of calculating the matrix chain product depends on the dimensions and the order of multiplication of the matrices involved.
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Find the score function and the observed Fisher information for - θ if X∼Geom(θ) - ψ=θ
2
if X∼Geom(θ) - θ if X=(X
1
,…,X
n
) where X
1
,…,X
n
are independent LN(θ,1) random variables - θ if X=(X
1
,…,X
n
) where X
1
,…,X
n
are independent random variables and X
i
∼N(θi,1)
Answers
The observed Fisher information for θ is given by:
I(θ) = E[-d²/dθ² [log(f(X;θ))]] = E[-d/dθ [S(θ)]] = E[(θ-X)/θ³] = (θ-1)/θ³
To find the score function and observed Fisher information for the given distributions, we'll consider each case separately:
Geometric Distribution: X ~ Geom(θ)
The score function for θ is given by:
S(θ) = d/dθ [log(f(X;θ))] = d/dθ [log(θ(1-θ)^(X-1))] = (1/θ) - (1/(1-θ))
The observed Fisher information for θ is given by:
I(θ) = E[-d²/dθ² [log(f(X;θ))]] = E[-d/dθ [S(θ)]] = E[(1/θ²) + (1/(1-θ)²)] = 1/θ(1-θ)
Poisson Distribution: X ~ Poisson(θ)
The score function for θ is given by:
S(θ) = d/dθ [log(f(X;θ))] = d/dθ [log((e^(-θ)θ^X)/X!)] = (X/θ) - 1
The observed Fisher information for θ is given by:
I(θ) = E[-d²/dθ² [log(f(X;θ))]] = E[-d/dθ [S(θ)]] = E[-(X/θ²)] = -E[X]/θ = -θ
Log-Normal Distribution: X ~ LN(θ,1)
The score function for θ is given by:
S(θ) = d/dθ [log(f(X;θ))] = d/dθ [log((1/(θsqrt(2π)))exp(-(log(X)-θ)²/2))] = (log(X)-θ)/θ²
The observed Fisher information for θ is given by:
I(θ) = E[-d²/dθ² [log(f(X;θ))]] = E[-d/dθ [S(θ)]] = E[(θ-X)/θ³] = (θ-1)/θ³
Note: The observed Fisher information depends on the specific distribution and the parameter of interest, and it is not applicable to the case of X=(X1,...,Xn) with independent random variables having different distributions (such as the case of X1,...,Xn being independent random variables with X_i ~ N(θ_i,1)).
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Smallest to biggest. 0.43,3/7,43.8%,7/16
Answers
Answer: 3/7 (Smallest), 0.43, 7/16, 43.8% (largest)
Step-by-step explanation:
0.43
3/7 = 0.4286
43.8% = 0.438
7/16 = 0.4375
Plz help me get the right answer
Answers
Answer:
1+4x−5x
−7x ^2 +1−(−2x^2−4x)= −7x^2+1+2x^2+4x = 1+4x−5x
A local polka band wants to make and sell CDs of its songs. Suppose it costs $ 1000 to record, $ 450 to edit, and $ 350 for album artwork, and suppose each CD that is manufactured will cost them $ 2.50
Answers
a) The total cost to produce 300 CD's is; $2550
b) The total cost C(n) in dollars of making n CDs is; C(n) = 1800 + 2.5n
How to find the total cost of production?We are given that;
Cost of recording an album = $1000
Cost to edit the album = $450
Cost for album art work = $350
Cost of each manufactured CD = $2.50
a) The fixed costs (no matter how many CDs are recorded) is;
Fixed costs = $1000 + $450 + $350 = $1800
The variable costs (depends on the number of CDs recorded) for 300 CD's is;
300 CDs * $2.50 = $750
Thus;
Total cost for 300 CD's = 1800 + 750 = $2550
b) We want to find the total cost function for making n number of CD's. From above, since Fixed cost is 1800 and variable cost is 2.5 per CD, then the function is;
C(n) = 1800 + 2.5n
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Complete question is;
A local polka band wants to make and sell CDs of its songs. Suppose it costs $ 1000 to record, $ 450 to edit, and $ 350 for album artwork, and suppose each CD that is manufactured will cost them $ 2.50
(a) How much will it cost to make 300 CDs?
(b) What is the total cost C(n) in dollars of making n CDs?
If x = 2, solve for y.
y = 2 x 4^x
y = [?]
Answers
Step-by-step explanation:
Given the equation y = 2 * 4^x, with x = 2:
y = 2 * 4^2
First, calculate 4^2:
4^2 = 16
Next, multiply by 2:
y = 2 * 16
Finally, compute y:
y = 32
Therefore, y is equal to 32 when x is equal to 2, for the given equation y = 2 * 4^x.
Answer:
y = 32
Step-by-step explanation:
y = 2 x \(4^{x}\) x = 2
y = 2 x \(4^{2}\)
y = 2 x 16
y = 32
which of the following terms appear in the expansion of (x+y)^10? the letter a in each term represents a real constant A. ay^5 B. ax^5y^5 C. ax^5 D. ax^3y^7
Answers
The terms that can be in the expansion of (x + y)¹⁰ are the ones in options B and D.
B: a*x⁵y⁵
D: a*x³y⁷
Which terms can be in the expansion?Here we want to see which of the given terms are in the expansion of:
(x + y)¹⁰
Notice that the exponent is 10, then each term on the expansion must also have a (total, this is the sum of the exponents of y and x) exponent of 10.
Then the options that can be in the expansion of (x + y)¹⁰ are the options B and D, these are:
B: a*x⁵y⁵ ---> the exponents add up to 5 + 5 =10
D: a*x³y⁷ ---> the exponents add up to 3 + 7 = 10
These are the correct options.
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The relationship between the number of pounds (lb) of trail mix and the price
in dollars is shown in the graph. What is the unit price of trail mix?
A. 1 lb/$8
B. $8/1 lb
C. $1/8 lb
D. $16/2 lb
pls answer quickly since this is a quiz :)) picture included above
Answers
13=s-21 —solving equations
Answers
Answer:
34 = s
Step-by-step explanation:
To solve for s, add 21 to both sides of the equation.
13 = s - 21
21 + 13 = s - 21 + 21
34 = s
#teamtrees #PAW (Plant And Water)
In a mathematics class, half of the students scored 52 on an achievement test. With the exception
of a few students who scored 76, the remaining students scored 57. Which of the following
statements is true about the distribution of scores?
A. The mean is less than the median.
B. The mean is less than the mode.
C. The mean and the median are the same.
D. The mean is greater than the median.
Answers
Answer:
C. The mean and the median are the same.
5-6. Find the constant of proportionality (unit rate) for each set of values. Then use the constant of proportionality to write an equation that relates the two values in the table.
5. profit per shirt sold pound Shirts (s) 5 10 15 Profit (p) $7.50 $15.00 $22.50 Apples (a) 4 5 6 Price (p) $7.96 $9.95 $11.94
Hi
6 . Price per
7-8. Determine whether the relationship between the two quantities shown in the table is proportional by graphing on the coordinate plane. Explain your reasoning.
Number of 1 2 3 4 5 Pen sCost $2 54 56 58 $10 7. Cost of Buying Pens Number of 1 2 3 4Minutes Words Typed 50 90 140 180 8. Words Typed.
Solve this fast and I’ll give you 47 points
Answers
5. The constant of proportionality is 1.5
The equation is p = 1.5×s
6. The constant of proportionality is 1.99
The equation is p = 1.99 × a
7. The variables Number of Pens and Cost are not proportional
Please find attached the required graph
8. The variables Number of minutes and Words Typed are not proportional
Please find attached the required graph
The procedure for finding the answers are as follows;
5. The given data are presented as follows;
\(\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}\)
Where two variables, s and p are proportional, we get;
p ∝ s
Therefore;
p = C × s
C = p/s
Where;
C = The constant of proportionality
Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;
C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5
The constant of proportionality, C = 1.5
The equation that relates the two values is p = 1.5×s
6. For the apples to price relationship, we have;
\(\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}\)
Therefore;
p ∝ a
p = C × a
C = p/a
Plugging in the values gives;
C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99
The constant of proportionality, C = 1.99
Therefore, the equation relating the two values is p = 1.99 × a
7. The given data is presented in a tabular form as follows;
\(\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}\)
A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)
From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship
8. The given data is presented in a tabular form as follows;
\(\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}\)
From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship
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If two opposite angles of a quadrilateral
are supplementary, is the quadrilateral a
parallelogram?
A) No, because in parallelograms, angles
are supplementary if and only if they are consecutive.
B) No, because opposite angles in a parallelogram are never congruent.
C) Yes, but only when the angles of the quadrilateral are right angles.
Otherwise, it will be a trapezoid rather than a parallelogram.
D) Yes, because only squares have that property, and squares are both
parallelograms and quadrilaterals.
Answers
Answer:
A
Step-by-step explanation:
How to get p value from t.
Answers
Answer:
For a lower-tailed test, the p-value is equal to this probability; p-value = cdf(ts).For an upper-tailed test, the p-value is equal to one minus this probability; p-value = 1 - cdf(ts)John bought 9.25m of cloth for Php 425.50. Find the cost price per metre. *
A. Php 26.00
B. Php 36.00
C. Php 46.00
D. Php 56.00
Answers
John spent Php 425.50 on 9.25 metres of fabric. The cost price per metre will be Php 46.00.
The correct answer is "C. Php 46.00".
The cost price per meter can be calculated by dividing the total cost of the cloth by the number of meters bought. In this case, the total cost of the cloth is Php 425.50 and the number of meters bought is 9.25.
Dividing the total cost by the number of meters, we get:
Php 425.50 ÷ 9.25 = Php 46.00
So, the cost price per meter is Php 46.00.
It's important to know the cost price of a product when buying in bulk, as it helps in determining the profit margin. Understanding the cost price also enables a person to negotiate better prices and make informed purchasing decisions. Additionally, keeping track of the cost price and other expenses can help in managing finances effectively.
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GEOMETRY!!!! CLICK ON THE PICTURE
Answers
Answer:
#1 - Two complementary angles with measures that have a sum of 90.
#2- angles with a common vertex and side.
#3 - two supplementary angles with measures that have a sum of 180.
#4 - the region of a plane inside an angle
#5 - the region of a plane outside an angle
#6 - an angle with a measure of anything less than 90 degrees.
#7 - an angle with a measure of anything greater than 90 degrees.
These all should be right :)
Lmk how I did!
if the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, what is the mean weight of the 11-person team
Answers
If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.
What is the mean?The mean refers to the average of the data value.
The mean can be computed as the quotient of the total value divided by the number of items in the data set.
The mean weight of 4 backfield members on the football team = 211lb
The total weight of the 4 backfield members = 844lb (211 x 4)
mean weight of the 7 other players on the football team = 203lb
The total weight of the 7 other players = 1,421lb (203 x 7)
The total weight of the 11 football team members = 2,265lb (844 + 1,421)
The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)
= 206lb
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Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?
$0.35
$0.50
$0.55
$0.65
Answers
Explanation: First find how much Jose paid for each bag
$375 / 750
So $0.50 per bag
Now add $0.15 to that
$0.50 + $0.15
That added together is
$0.65
What is the slope of the line that passes
through
0(-4, 8) and (5, 2)?
Answers
Answer:
(-8,-4) and (-2,5). at reflect on x axis
Nick wants to be a writer when he graduates, so he commits to writing 500 words a day to
practice. It typically takes him 30 minutes to write 120 words. You can use a function to
approximate the number of words he still needs to write x minutes into one of his writing
sessions.
Answers
The number of words he still need to write in one of his writing sessions would be = 95 minutes.
Who is a graduate?A graduate is an individual that has completed studies in an institution for a number of years and is being issued a certificate afterwards.
The number of words committed for a day by Nick = 500 words.
He writes 120 words = 30 mins
The total number of words remaining = 500 - 120 = 380 words.
Therefore the time it will take to finish the remaining 380 words in the day = X mins.
If 30 mins= 120 words
X mins = 380 words.
Make X mins the subject of formula;
X mins = 380× 30/120
X mins = 11,400/120
X mins= 95 minutes.
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Choose the expressions that DO NOT represent the total area of the big rectangle. Select all that apply.
5t+4t
t+5+4
9t
4⋅5⋅t
t(5+4)
2. Which expression is not equivalent to 4b?-----b + b + b + b
3. Solve the equation 16 = 4n
4. Out of 400 plants sold daily at a nursery, 90% of them have flowers. How many of the plants have flowers?
5
Answers
1. The expressions which that DO NOT represent the total area of the big rectangle is t+5+4 and 4⋅5⋅t option B and D.
The expression which is not equivalent to 4b are (b + 4) and b × b × b × b. options B and D.
3. n = 4
4. The number of plants with flowers sold at the nursery is 360.
What is the area of the rectangle?Length = 5+4 = 9
Width = t
Area of a rectangle = Length × Width
= 9 × t
= 9t
Check all options:
5t+4t
= 9t
t+5+4
= t + 9
9t
4⋅5⋅t
= 20t
t(5+4)
= 9t
A. b + b + b + b
= 4b
B. b + 4
C. 2b + 2b
= 4b
D. b × b × b × b
= b⁴
3. 16 = 4n
divide both sides by 4
n = 16/4
n = 4
4. Number of plants sold at a nursery daily = 400
Percentage of plants sold with flowers = 90%
Number of plants with flowers = 90% × 400
= 0.9 × 400
= 360 plants
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Last year, Austin opened an investment account with $5400. At the end of the year, the amount in the account had increased by
7.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
Increase in amount:
Year-end amount:
XI ?
I Don't Know
Submit
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E
Answers
Answer:
5400 + 351 = 5751
Step-by-step explanation:
14. (2a^4)^3
what is the answer to this?
Answers
Answer: The answer is 6.
Step-by-step explanation:
2^3(a^4)^3
8(a^4)^3
8a^12 is the answer!
a return train ticket between liverpool and london costs £117.50
the price decreeses by 5%
what is the new price?
Answers
Answer:
5% of 117.50 is 5.875
117.50- 5.875= 111.625 => round it to two decimal places.
£111.63
Hope this helps :)
Happy Paws charges $18.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $12.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours. The equation is . The total cost of the services will be equal at hours.
HELP ME PLEASE!
Answers
Answer:
This is just a basic mathematical function in which 18.00$ is the starting cost of Happy Paws service and they charge 4.50$ an hour, and we can represent this with \(18.00$ + 4.50h = C\).
C is the total cost and h represents the number of hours that took place.
Now looking at Woof Watchers, the starting cost is 12.00$ and they charge 5.75$ an hour, we can also represent this with the equation \(12.00 +5.75h=C\).
Now we can figure out the answer the long way or the short way.
The short way is a lot more simple, so I will use that.
The short way is plugging these equations into a graphing calculator.
After that, the number of hours they both babysit to have equal total costs is 4.8 hours or 4 hours and 48 minutes, and the total cost for both services after 4.8 hours will be approximately 40$ or to be exact, 39.60$
Solve the following equation for x.
Answers
Answer:
If you just solve normally, you will get x=2 and x=-3. But if you plug these in to check your work, you will find that they are wrong. Your answer is no solution
Step-by-step explanation:
ln(2x+3)+ln(x-2)=ln(x^2-2x)
Rule: log(a) + log(b) = log(a*b)
ln( (2x+3)(x-2) ) = ln(x^2-2x)
Rule: If log(a) = log(b) then a = b
(2x+3)(x-2) = x^2 - 2x
2x^2-x-6=x^2-2x
x^2+x-6=0
Using Quadratic Formula:
x = 2 and x = -3
But, plugging these numbers back into the original equation is false!
Outliers" are greater than 3 standard deviations from the mean, both in the positive and negative directions. What is the likelihood that data would be in this outlier category? Write your answer as a percent.
Answers
The likelihood that data would be in this outlier category written as a percentage is 99.8%
What is outlier?A data point that differs abnormally from other points is an outlier.
Outliers are information that is not included in the set's other values,
For the normal curve, the outlier is grater than 3 standard deviation and hence we add the values within 3 standard deviation
= 19.1% + 15% + 9.2% + 4.4% + 1.7% + 1.5%
= 49.9%
The value 49.9% is for one tail for two tailed or the positive and negative side
= 49.9% * 2
= 99.8%
Hence the outlier is 99.8%
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