Answer:
\(-2x^2y+3xy^2\)
Step-by-step explanation:
The terms \(5x^2y \text{ and } -7x^y\) are like terms.
The terms \(2xy^2 \text{ and } xy^2\) are like terms.
Remember, \(xy^2\) means \(1x^2y\).
Which number should go in the shaded overlap factors if 30 -and factors if 20
Answer:
1,2,5,10
Step-by-step explanation:
hope this helps
A rectangular prism-shaped display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall.
What is the volume of the display case in cubic inches?
Responses
73 1/4 in³
73 and 1 fourth, in³
320 1/4 in³
320 and 1 fourth, in³
10,328 1/16 in³
10328 and 1 sixteenth, in³
28,372 5/8 in
The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.
Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:
Volume = Length * Width * Height
Using the given measurements:
Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches
To simplify the calculation, we can convert the mixed numbers to improper fractions:
Volume = (21/2) inches * (61/2) inches * (129/4) inches
Next, we multiply the fractions:
Volume = (21/2) * (61/2) * (129/4) = 17289/8
The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:
Volume = 2161 1/8 in³.
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Given the two half-reactions, what must be done in the next step before the reaction can be balanced? First: upper A u superscript 3 plus right arrow upper A u. Second: upper I superscript minus right arrow Upper I subscript 2. Show the number of electrons being lost or gained. Make sure that the charges are balanced. List the atoms that need to be balanced.
In the first reaction, Gold (Au) gets 3 electrons and became Gold. In the second reaction, Iodine (I) loses 2 electrons and became Iodine.
What are cations and anions?When the atom loses the election then it is called a cation and when it gains the electron is called an anion.
Two reactions are given.
First reaction;
Au³⁺ + 3e⁻ ⇒ Au
In the first reaction, Gold (Au) gets 3 electrons and became Gold.
Second reaction;
2I⁻ ⇒ I₂ + 2e⁻
In the second reaction, Iodine (I) loses 2 electrons and became Iodine.
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Answer:
Answer is A
Step-by-step explanation:
Show the number of electrons being lost or gained.
A 16,000 cubic inch refrigerator has a square base. The refrigerator is 40 inches tall. Determine the area of the base of the refrigerator.
Answer:
400 in^2
Step-by-step explanation:
A square has equal sides, s and the area = s * s
volume of refrigerator = s *s * h
= s^2 * 40 = 16000
s^2 = 400
s = 20 inches so area = 20 * 20 = 400 in^2
What is the value of x in the equation −x = 3 − 4x + 15?
Answer:
x = 6
Step-by-step explanation:
First of all you should collect like terms
-x = 18 - 4x
Then you should move the variable to the left
-x + 4x = 18
After that you should collect like terms
3x = 18
Finally divide both sides by 3
x = 6
Hope this helps!
Answer:
6
Step-by-step explanation:
Identify whether the statement represents an exponential function. The value of a coin collection has increased by 3.25% annually over the last 20 years. o Yes, the statement represents an exponential function. O No, the statement does not represent an exponential function. Show your work and explain, in your own words, how you arrived at your answer.
Therefore, the statement represents an exponential function.
The given statement, "The value of a coin collection has increased by 3.25% annually over the last 20 years" represents an exponential function.Exponential functions refer to the mathematical operations where a constant is raised to the power of the variable x and this variable is the input, and the exponential function is the output.The given statement represents the exponential function because the value of the coin collection is increasing by 3.25% every year, which means it is compounding. Compounding interest is an essential feature of an exponential function since it increases in a compound way. The formula for compound interest is given as:`A=P(1+(r/n))^nt`Where,A is the final amount,P is the principal amount,r is the annual interest rate,n is the number of times the interest is compounded per year,t is the time in years.The compound interest formula reflects the exponential growth model because of the exponent. Also, the coin collection's value is continuously growing and, the longer it takes, the more its value increases.Therefore, the statement represents an exponential function.
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The number of gallons of gas purchase by for motorist and corresponding cars are plotted on a coordinate plane which of these table correctly shows the ratios of different number of gallons of gas to the cost
Answer:
I really also need the answer
Step-by-step explanation:
Answer:
the answer is "C"
Step-by-step explanation:
i dont have time to explain im doing the test to
Find the measure of ∠e, if m∠g = x + 17 and m∠f = 4x + 3. Answer choices: 131 49 4.6 15
Answer:
Step-by-step explanation:
∠g and ∠f are the interior angles on the same side of the transversal, therefore they're supplementary.
g + f = 180
4x + 3 + x + 17 = 180
5x + 20 = 180
5x = 180 − 20
5x = 160
x=1605=32
g = x + 17 = 32 + 17 = 49
Since ∠g and ∠e are corresponding angles, they're congruent.
g = e = 49
Please help with this problem in MATLAB!
P1 20 Array| Given a \( n \times m \) matrix, process it with the following rules: 1. Copy elements greater or equal to 25 in the matrix at original places to generate a new matrix. Elements less than
"Create a new matrix by copying elements greater than or equal to 25 from the original matrix."
To process a given n×m matrix with the provided rules, we need to create a new matrix that retains only the elements greater than or equal to 25 from the original matrix. We can start by initializing an empty new matrix of the same size as the original matrix. Then, we iterate through each element of the original matrix. For each element, we check if it is greater than or equal to 25. If it satisfies this condition, we copy that element to the corresponding position in the new matrix.
By applying this process for all elements in the original matrix, we generate a new matrix that contains only the elements greater than or equal to 25. The new matrix will have the same dimensions as the original matrix, and the elements in the new matrix will be placed in the same positions as their corresponding elements in the original matrix
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Identify the terms, like terms, coefficients and constants of the following expressions: a) 9 − z + 3 − 2z b) 7 − 5b + 1 terms: _____________ terms: ______________ like terms: ______ like terms: _______ coefficients: _____ coefficients: _____ constants: ______ constants: ______
Answer:
See below.
Step-by-step explanation:
a) 9 − z + 3 − 2z b) 7 − 5b + 1
terms: 9, -z, 3, -2z terms: 7, -5b, 1
like terms: 9 & 3; -z & -2z like terms: 7 & -1
coefficients: -1, -2 coefficients: -5
constants: 9, 3 constants: 7, 1
X=
Please see attached problem
hotel A charges $2 per minute plus a $5 connection fee for international phone calls. hotel B charges $4 per minute for international calls with a $3 discount on all calls. determine the length, in minutes of an international phone call that would cost the same at either hotel.
A call that lasts for a length of 4 minutes would cost the same at either hotel.
For Hotel A: Cost = 2(4) + 5 = 13
For Hotel B: Cost = 4(4) - 3 = 13 minutes
How do we determine the length of phone call that would cost the same at either hotel?We can determine the length of phone call that would cost the same at either hotel by the following equations.
Given:
Hotel A, cost of the call:
Cost for Hotel A = 2x + 5
For Hotel B, the cost of the call:
Cost for Hotel B = 4x - 3
For the length of the call that would cost the same at either hotel, we shall set these two equations equal to each other and solve for x:
2x + 5 = 4x - 3
Subtracting 2x from both sides, we get:
5 = 2x - 3
Adding 3 to both sides, we get:
8 = 2x
Dividing both sides by 2, we get:
x = 4
So, a call that lasts 4 minutes would cost the same at either hotel.
We can verify this, let's plug x = 4 into both equations:
For Hotel A: Cost = 2(4) + 5 = 13
For Hotel B: Cost = 4(4) - 3 = 13
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Question 2 of 25
What value of cmakes the polynomial below a perfect square?
x + 10x+ c
CE
O A. 100
O B. 20
O C. 5
O D. 25
Answer:
25
Step-by-step explanation:
x^2 + 10x + 25 = (x+5)^2
What is the experimental probability of how many times on even number was actually rolled using the table?
Since there was a total of 36 rolls, and 15 of the rolls gave an even number, the odds will be 15/36. This can be reduced to 5/12, your answer.
Hope that helps.
Given: ΔАВС, m∠ACB = 90° CD ⊥ AB , m∠ACD = 60° BC = 6 cm, find the length of AD
im not sure sorryyyyyyyyyyyyyyy
Please give the proof process: 2n3 + 3n +10 = Q( n³).
2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".
Let's start by factoring out the common factor of n^3 from each term:
2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)
Now, let's rewrite the expression as a single term multiplied by n^3:
2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3
Simplifying the expression inside the parentheses:
= (2n^3 + 3n^2 + 10n^3)/n^3
= (12n^3 + 3n^2)/n^3
= 12 + 3/n
ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.
Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
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Which expression is equivalent to (3^5 x^2)^4 use step by step
Answer:
look at the screenshot
Step-by-step explanation:
The triangle shown below may not be congruent true or false
Answer:
true
Step-by-step explanation:
The triangle shown below may not be congruent true
find the indefinite integral. (use c for the constant of integration.) 4t 1 − 16t4 dt
The indefinite integral of 4t(1-16t^4) dt is: 2t^2 - (4/5)t^6 + c, Here, C is the constant of integration, which can be written as C = C1 + C2.
To find the indefinite integral of the given function, we'll integrate term by term. The given function is:
∫(4t - 16t^4) dt
Now we'll integrate each term:
∫4t dt - ∫16t^4 dt
For the first term, the power rule for integration states that ∫t^n dt = (t^(n+1))/(n+1) + C, where n is a constant:
∫4t dt = 4∫t^1 dt = 4(t^(1+1))/(1+1) + C1 = 4t^2/2 + C1 = 2t^2 + C1
For the second term, we'll apply the same rule:
∫16t^4 dt = 16∫t^4 dt = 16(t^(4+1))/(4+1) + C2 = 16t^5/5 + C2 = (16/5)t^5 + C2
Now combine the results:
∫(4t - 16t^4) dt = 2t^2 + (16/5)t^5 + C
Here, C is the constant of integration, which can be written as C = C1 + C2.
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18. The current in the Red Cedar River is 6 mph. A canoe can travel 7 miles downstream in the same time that it takes to travel 3 miles upstream when paddled at the same rate. Set up (but do not solve) a rational equation that could be used to find the rate the canoe is paddled, using x as this rate
Answer:
7/(6 + x) = 3/(6 - x)
Step-by-step explanation:
The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph
The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream
Let x represent the rate of the canoe, we have;
7/(v + x) = 3/(v - x)
Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;
7/(6 + x) = 3/(6 - x).
What is the value of x?
Answer:
As x is the exterior angle
Step-by-step explanation:
therefore
let name the angle exterior angle be ACE
interior angleABC=76°and angleBAC=55°
sum of 2 interior angle is equal to exterior angle
=76+55=x
=131=x
how many ways to arrange 12 identical apples and five distinct oranges in a row so no two oranges are side by side?
There are 1287 different ways to arrange five different oranges and 12 different apples so that no two oranges are next to each other.
Explain the term combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the ordering of the selection is meaningless. You can choose the constituents of combos in any order. Permutations and combinations can be conflated.For the data given in the question-
There are 12 identical apples and five distinct oranges.
Arrange them such that no two oranges are side by side.
The separator method, which uses the apples as separators, was used to solve this puzzle.
_1_1_1_1_1_1_1_1_1_1_1_1_
Due to the fact that there are currently 13 empty spots,
Number of ways = ¹³C₅
¹³C₅ = 1287 ways.
Thus, there are 1287 different ways to arrange five different oranges and 12 different apples so that no two oranges are next to each other.
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An artist has completed
1
4
of a painting in 2 weeks. At what rate is she working?
Answer:
1 painting /8 weeks
Step-by-step explanation:
Answer:
1 full painting every 8 weeks
Step-by-step explanation:
she completed 1/4 every 2 week which is 0.25
if 0.25x4 =1
so if you multiply 2x4 weeks= 8
What are the two conditionals that form the statement below? Two numbers are reciprocals if and only if the product is one
Fit the following data using quadratic regreswion. Determine the function f∣x∣] at xi=12.55 using the derived quadratic function and ether required factork.
Quadratic regression is a statistical technique that is used to fit a parabolic equation to the data. The value of f (|x|) at xi = 12.55 is 45.5559.
The first step is to find the values of the constants a, b and c. We can use a calculator or software such as Microsoft Excel to find these values. Using Microsoft Excel, the values of the constants are found to be a = 0.2825, b = 1.758 and c = -14.556.
Next, we can use the derived quadratic function to find the value of f (|x|) at xi = 12.55. Since xi = 12.55 is not in the given data set, we need to find the value of yi corresponding to this value of xi.
We can use the derived quadratic function y = \(0.2825x^2 + 1.758x - 14.556\)
To find the value of yi at xi = 12.55.
Substituting x = 12.55 in the quadratic function, we get:
\(y = 0.2825(12.55)^2 + 1.758(12.55) - 14.556\)
y = 45.5559
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Apples are prepared in a process with two resources. The first resource has a capacity of 2.1 apples per hour. The capacity of the second resource is 4.4 apples per hour. The first resource has 1 worker and the second resource has 4 workers. Demand for this process is 1.6 apples per hour. Wages are $8 per hour.
What is the cost of direct labor (in $)?per unit
The cost of direct labor per unit is $5.628 per apple.
To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.
Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".
The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:
L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)
The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:
L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)
Now, let's calculate the total labor hours required per unit:
Total labor hours per unit = L₁ (first resource) + L₂ (second resource)
= 0.4762 hours/apple + 0.2273 hours/apple
= 0.7035 hours/apple (rounded to 4 decimal places)
Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:
Cost of direct labor per unit = Total labor hours per unit * Wage rate
= 0.7035 hours/apple * $8/hour
= $5.628 per apple (rounded to 3 decimal places)
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simultaneous equations 5x+y=28 x+y=2
Answer:
\(( \frac{13}{2} \:, - \frac{9}{2} )\)Step-by-step explanation:
\(5x + y = 28\)
\(x + y = 8\)
Solve the equation for y by moving 'x' to R.H.S and changing its sign
\(5x + y = 28\)
\(y = 2 - x\)
Substitute the given value of y into the equation 5x + y = 28
\(5x + 2 - x = 28\)
Solve the equation for x
Collect like terms
\(4x + 2 = 28\)
Move constant to R.H.S and change its sign
\(4x = 28 - 2\)
Subtract the numbers
\(4x = 26\)
Divide both sides of the equation by 4
\( \frac{4x}{4} = \frac{26}{4} \)
Calculate
\(x = \frac{26}{4} \)
Reduce the numbers with 2
\(x = \frac{13}{2} \)
Now, substitute the given value of x into the equation y = 2 - x
\(y = 2 - \frac{13}{2} \)
Solve the equation for y
\(y = - \frac{9}{2} \)
The possible solution of the system is the ordered pair ( x , y )
\((x \: y) = ( \frac{13}{2} , \: - \frac{9}{2} )\)-------------------------------------------------------------
Let's check if the given ordered pair is the solution of the system of equation:
plug the value of x and y in both equation
\(5 \times \frac{13}{2} - \frac{9}{2} = 28\)
\( \frac{13}{2} - \frac{9}{2} = 2\)
Simplify the equalities
\(28 = 28\)
\(2 = 2\)
Since , all of the equalities are true, the ordered pair is the solution of the system.
\((x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2}) \)
Hope this helps....
Best regards!!
Answer:
\(\boxed{x=6.5} \\ \boxed{y=-4.5}\)
Step-by-step explanation:
5x + y = 28
x + y = 2
Subtract both equations. (eliminating y variable)
4x + 0 = 26
4x = 26
Divide both sides by 4.
x = \(\frac{26}{4}\)
x = 6.5
Plug x as 6.5 in the second equation and solve for y.
6.5 + y = 2
Subtract 6.5 on both sides.
6.5 - 6.5 + y = 2 - 6.5
y = -4.5
8:13 IN THE FORM 1:N
In doing a quantity takeoff for 100 square feet of single wythe concrete masonry wall, with a thickness of 8", how many 8x8x16 block would you need and how much mortar would you need?112.5 units and 10.1 cu ft113.5 units and 11.1 cu ft114.5 units and 9.1 cu ft
In doing a quantity takeoff for 100 square feet of single wythe concrete masonry wall, with a thickness of 8", we would need 14.06 8x8x16 block and 10.14 cubic feet mortar.
Number of blocks:
Since each block is 8x8x16 inches, the volume of one block is:
Volume of one block = Length x Width x Height
= 8 inches x 8 inches x 16 inches
= 1024 cubic inches
To calculate the number of blocks needed, we divide the wall area by the area of one block:
Number of blocks = Wall area in square inches / Area of one block
= 14,400 square inches / 1024 cubic inches
≈ 14.06
Rounding to the nearest whole number, the correct answer is 14 blocks.
Amount of mortar:
To determine the amount of mortar needed, we multiply the wall area by the joint thickness:
Volume of mortar = Wall area x Joint thickness
= 100 square feet x 1 square foot/144 square inches x 8 inches x 3/8 inches
≈ 10.14 cubic feet
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how much is 32 yards and 24 feet then it it divided by 4
Answer: Answer In Photo