Answer:
$605
Step-by-step explanation:
For the computation of manufacturing overhead first we need to compute plantwide predetermined overhead which is shown below:-
Plantwide predetermined overhead rate = Estimated manufacturing overhead cost ÷ Direct labor hours
= $3,080,000 ÷ 112,000
= $27.5
manufacturing overhead to be applied = Direct labor hours × Plantwide predetermined overhead rate
= 22 × $27.5
= $605
the volume of a cube depends on the length of its sides.That can be written in function notation as v(s).What is the best intrerpretation of v(4) = 64
The best interpretation of v(4) = 64 is that the volume of a cube of side length 4 is 64
How to interpret the function notation?From the question, we have the following parameters that can be used in our computation:
The volume of a cube depends on the length of its sidesThe function notation is represented as v(s)Since the volume of the cube takes it value from the length of its sides, then it means that:
The volume is a function of the length
This is evident in the function notation v(s)
The above notation means that
The volume from side length s
Hence, v(4) = 64 represents the volume of a cube of side length 4 is 64
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hello, i need help pleaseeeeeeeeeeeeeeee
Answer:
f₁(x) = -3x + 2
f₂(x) = x - 4
f₃(x) = x + 8
f₄(x) = -2x - 6
f₅(x) = -3x
Step-by-step explanation:
1). Since function f₁ (blue line) passes through a point (0, 2) and (-2, 8)
Let the equation of the blue line is,
y = mx + b
Since slope of the line 'm' = \(\frac{y_2-y_1}{x_2-x_1}\)
m = \(\frac{8-2}{-2-0}\)
m = -3
Y-intercept 'b' = 2
Therefore, equation of the line will be,
y = -3x + 2
Linear function representing the line will be,
f₁(x) = -3x + 2
2). Let the equation of the red line passing through (0, -4) and (2, -2) is,
y = mx + b
Slope of the line 'm' = \(\frac{y_2-y_1}{x_2-x_1}\)
m = \(\frac{-4+2}{0-2}\)
m = 1
y-intercept 'b' = -4
Therefore, the linear function will be,
f₂(x) = x - 4
3). Let the equation of the green line passing through (-6, 2) and (-2, 6) is,
y = mx + b
Slope of the line 'm' = \(\frac{6-2}{-2+6}\)
m = 1
y-intercept 'b' = 8
Therefore, linear function will be,
f₃(x) = x + 8
4). Let the equation of the yellow line passing through (-6, 6) and (-4, 2) is,
y = mx + b
Slope of the line = \(\frac{6-2}{-6+4}\)
m = -2
y-intercept of the line 'b' = -6
Therefore, function representing the line will be,
f₄(x) = -2x - 6
5). Let the equation of the pink line is passing through (0, 0) and (-2, 6) is,
y = mx + b
Since the line is passing through origin, y-intercept 'b' = 0
Slope of the line = \(\frac{6-0}{-2-0}\)
m = -3
Therefore, equation of the linear function will be,
f₅(x) = -3x
Shrink is determined by multiplying the ? by the offset rise. Select one: a. cosecant b. diameter of the conduit c. offset multiplier d. shrink constant.
Shrink is determined by multiplying the offset multiplier by the offset rise. Therefore, the correct option is c. offset multiplier.
In electrical conduit bending, a conduit is bent using an offset, which is a combination of two bends in opposite directions.
The offset rise is the vertical distance between the two bends, and the offset multiplier is a factor that determines the amount of shrink, or the horizontal distance between the two bends.
The shrink is determined by multiplying the offset multiplier by the offset rise. This is because the amount of shrink depends on how steep the angle of the offset is and how far apart the bends are.
The offset multiplier is a constant that depends on the diameter of the conduit being bent and the angle of the offset. So, the correct answer is C).
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the test in an if function must evaluate to either a true or a false.
Yes, the test in an "if" function must evaluate to either a True or a False value.
An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.
When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.
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Given J = 2hr + 2b, solve for h.
Answer: \(h = \frac{J-2b}{2r}\)
Work Shown:
\(J = 2hr + 2b\\\\J - 2b= 2hr\\\\h = \frac{J-2b}{2r}\)
Explanation:
In the 2nd step, we isolate the "2hr" by subtracting both sides by 2b. This is do unto the +2b done to the right side initially. We want 2hr all by itself since it contains h.
Then to fully isolate h, we divide both sides by 2r. It might help to think of 2hr as 2r*h so you can pull out the terms easier. The division is done to undo the multiplication.
If writing out the final step using a keyboard, then you would say (J-2b)/(2r). Use parenthesis to indicate which terms are being divided.
Find the reference angle 0' for 0=43pi/22
The reference angle θ' for θ = 43π/22 is π/22.
To explain how to find the reference angle, we first need to understand what a reference angle is. In trigonometry, the reference angle is the acute angle formed between the terminal side of an angle in standard position and the x-axis.
In this case, we have θ = 43π/22. To find the reference angle θ', we need to determine the equivalent angle within one full revolution (2π) that is closest to θ.
To find the reference angle, we perform the following steps:
Calculate the number of complete revolutions: Divide the angle θ by 2π. In this case, 43π/22 ÷ 2π ≈ 6.136.
Subtract the number of complete revolutions: Subtract the whole number of revolutions from the result obtained in step 1. In this case, 6.136 - 6 = 0.136.
Convert the remaining angle to radians: Multiply the result obtained in step 2 by 2π. In this case, 0.136 * 2π ≈ π/22.
Therefore, the reference angle θ' for θ = 43π/22 is π/22. This means that the acute angle formed between the terminal side of 43π/22 and the x-axis is π/22.
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Grace has a bag of candy corn with 378 pieces. She wants to divide it equally and give it to 9 friends in smaller bags. How many pieces of candy corn should she put in each bag?
Answer:
42 pieces
Step-by-step explanation:
you do 378÷9
then you'll get the answer which is 42 pieces
A polygon has 15 sides.
(b) If the sum of seven of the exterior angles is 200°, find the sum of the
eight interior angles not adjacent to these exterior angles.
Answer:
The sum of the eight interior angles not adjacent to these exterior angles is 1280°.
=================
Given A 15-sided polygon with sum of 7 exterior angles 200°.To find The sum of the 8 interior angles, remote to known 7 angles.SolutionWe know that:
sum of all exterior angles of a polygon is 360°.sum of each interior and exterior angle pair is 180°.So the sum of the 8 exterior angles is:
360° - 200° = 160°Sum of both interior and exterior angles of 8 angles:
180°×8 = 1440°Sum of those 8 interior angles is:
1440° - 160° = 1280°All 175 students in the Math Club went on a field trip. Some students rode in vans which hold 11 students each and some students rode in buses which hold 30 students each. How many of each type of vehicle did they use if there were 9 vehicles total?
The number of each type of vehicle they use if there were 9 vehicles total will be 5 and 4 respectively.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
We have to find the number of types of vehicles they use if there were 9 vehicles total.
Suppose the number of vans and buses is x and y respectively.
If the Math Club's 175 members went on a field trip. Some students rode in vans that could fit 11 people each, while others rode in buses that could fit 30 people.
11x + 30 y = 175 -------(1)
if there were 9 vehicles in total.
x+y=9 ------------(2)
Substitute y = 9-x in equation 1,
11x+30(9-x)=175
11x+270-30x=175
30x-11x=270-175
19x=95
x=5
Put x=5 to obtain the value of y,
y = 9-x
y=9-5
y=4
Thus, the number of each type of vehicle they use if there were 9 vehicles total will be 5 and 4 respectively.
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A 2-pound bag of carrots costs $7.68. What is the price per ounce?
The price of carrots per ounce is $0.24 .
Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.
The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.
Now it is given that a 2-pound bag of carrots cost $7.68 .
Therefore price per pound of carrots=$7.68÷2
Price per pound=$ 3.84 .
Now we know that 16 ounces make up a pound.
Price of carrots per ounce= $3.84 ÷16
Price per ounce= $ 0.24
Therefore the price of carrots per ounce is $0.24
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Joan bought a soft drink for 3 dollars and 4 candy bars. She spent a total of 15 dollars. How much did each candy bar cost?
Answer:3 dollars
Step-by-step explanation:
I need help can someone help!
Answer:
x = -4
Step-by-step explanation:
y = 3x - 1
Replace all instances of Y into the second quation.
2x - (3x-1) = 5
2x -3x +1 = 5
-x = 4
x= -4
HELP ASAP 20 POINTS PLEASE
Answer:
see below
Step-by-step explanation:
Regular decagon: 1,440
Regular octagon: 1,080
regular 13-sided polygon: 1,980
regular 7-sided polygon: 900
Hope this helps! :)
Please mark brainliest, I'm trying to get to Ace level
Work out the value of (1.7X10^4) X (8.5X10^-2) in standard form
Answer:
1.445 × 10³ hope it helped goodluck!
an agricultural field test compares two varieties of corn, silver queen and country gentlemen. the researches takes 10 plots and divides each of these plots in half. each plot has a similar amount of sun light, shade, quality of soil and irrigation. the variety of corn is randomly chosen for each half of a plot. after the harvest, the yield of corn is measured for each half plot at each location. the yield from silver queen was compared to the yield of country gentlemen. note: differences were taken by taking silver queen - country gentlemen the 95% confidence interval for the mean is (-0.223, 0.988). what can we expect will be the p-value for a two sided test using this data?
The solution to this problem is the p-value must be higher than 0.05.
Confidence interval definition:A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.
Here ,
In this given problem we can see confidence interval has 0 in it.
So,
Since the confidence interval comprises 0, the null hypothesis should be rejected.
When the p-value exceeds the level of significance, the null hypothesis is only rejected.
Since alpha=0.05 in this case, the p-value must be higher than 0.05.
Thus, the p-value must be higher than 0.05.
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Find the measure of angle PKL
mcgregor believed that theory x assumptions were appropriate for:
Douglas McGregor believed that the Theory X assumptions were appropriate for traditional and authoritarian organizations.
Theory X is a management theory developed by Douglas McGregor, a management professor, and consultant. It is based on the idea that individuals dislike work and will avoid it if possible. As a result, they must be motivated, directed, and controlled to achieve organizational goals. The assumptions of Theory X are as follows:
Employees dislike work and will try to avoid it whenever possible. People must be compelled, controlled, directed, or threatened with punishment to complete work. Organizations require rigid rules and regulations to operate effectively. In conclusion, Douglas McGregor believed that Theory X assumptions were appropriate for traditional and authoritarian organizations.
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a wire of length 38 m is divided into two pieces and each piece is bent into a square. how should this be done in order to minimize the sum of the areas of the two squares? (give your answer in the form of a comma separated list of the lengths of the two pieces.)
The lengths of the two pieces of a wire will be 19,19.
Define square.A square is a closed, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides.
The square of a square's side determines its area.
Given data -
Length of a wire = 38 m
As the wire is divided into two pieces,
Let the length of two pieces of wire be x and y m respectively.
As per given data, x + y = 38
Therefore, y = 38 - x
As each piece is bent into a square, area of squares will be
\((x/4)^{2}\) and \((y/4)^{2}\)
Therefore, the sum of areas of two squares will be A = \((x/4)^{2}\) + \((y/4)^{2}\)
A = \(x^{2}\)/16 + \(y^{2}\)/16
A = \(x^{2}\)/16 + \((38-x)^{2}\)/16
By differentiating, we will get
A' = \(\frac{2x}{16}\) - \(\frac{2(38-x)}{16}\)
In order to minimize the the sum of the areas of the two squares, we will take A' = 0
0 = x - (38 - x)
2x = 38
x = 19
Therefore y = 19
The length of two pieces of a wire should be 19 m each.
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Type the missing number in this sequence: 1, 5, 5, 25, 125, .....
Answer:
3,125
Step-by-step explanation:
1. This sequence is similar to the Fibonacci sequence, where you add the two terms to get the next term and so on. (e.g. 1, 1, 2, 3, 5, 8, 13)
2. However, this differs from the Fibonacci sequence because instead of adding, we're multiplying. 1 x 5 = 5, 5 x 5 = 25, 5 x 25 = 125. Given this sequence, we have to multiply 25 by 125 next, and the product of that expression is 3,125!
The total amount of the food came to $47. 50. But the restaurant also charges 6% sales tax on the total. The server was not great, so you left a 15% tip. How much will they pay at the restaurant’s register, including sales tax and tip?
The pay at the restaurant’s register, including sales tax and tip will be $ 57.475.
The sales tax amount = 47.50 × 6%
Calculating percentage on Right Hand Side of the equation
The sales tax amount = 2.85
Total amount of bill and sales tax = 47.50 + 2.85
Performing addition on Right Hand Side of the equation
Total amount of bill and sales tax = $50.35
Tip amount = 47.50 × 15%
Performing multiplication on Right Hand Side of the equation
Tip amount = 7.125
Total amount of bill and sales tax = 50.35 + 7.125
Performing addition on Right Hand Side of the equation
Total amount of bill and sales tax = $57.475
Hence, the total pay is $ 57.475.
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Which of the following are equivalent to:
x^6•x^4
Select ALL that apply:
A) x^10
B) x^12•x^12
C) x^7•x^3
D) x^8•x^3
E) x^24
F) x^8•x^2
SOMEONE, PLEASE HELP ME!
1) Is y=-3 a solution to the equation-3x^2=-27
2) is (-4,10) a solution to the equation 10-5x=y
Brainliest to the person who explains their answers
Answer:
1)Yes
2)No
Step-by-step explanation:
1) 3x^2 = -27
3 (-3)^2 = -27
Once you substitute your value in for x, you can follow the rule PEMDAS to solve the equation.
3 (-9) = -27
-27 =-27
2) 10 - 5x = y
In an ordered pair, the first number is x and the second number is y.
10 - 5 (-4) = 10
10 - 20 = 10
-10 = 10
-10 ≠ 10
PEMDAS: A rule that states solving an equation by the order of operations:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Patricia throws a football in the air and the path of the football in the air is given by the following function: h(x)=−0.018(x−20)
2
+8 where h(x) is the number of feet the football is above the ground, and x is the distance the football has traveled. (a) What transformations are taking place from the parent function f(x)=x
2
? Describe all that are happening. (b) Determine the x intercept of this function. Interpret your solution in a complete sentence with units.
(a) The given function, h(x) = -0.018(x - 20)^2 + 8, is a transformation of the parent function f(x) = x^2. Let's describe the transformations that are taking place:
1. Horizontal translation: The function h(x) is shifted 20 units to the right compared to the parent function f(x). This is because the term (x - 20) in the equation represents the distance the football has traveled.
2. Vertical translation: The function h(x) is shifted 8 units upwards compared to the parent function f(x). This is because the constant term 8 in the equation represents the initial height of the football above the ground.
3. Vertical compression: The coefficient -0.018 in front of the squared term (x - 20)^2 causes the function h(x) to be compressed vertically compared to the parent function f(x). This means that the graph of h(x) is narrower than the graph of f(x).
(b) To find the x-intercept of h(x), we need to find the value of x when h(x) = 0. Setting h(x) = 0 and solving for x, we get:
0 = -0.018(x - 20)^2 + 8
Rearranging the equation, we have:
0.018(x - 20)^2 = 8
Dividing both sides by 0.018, we get:
(x - 20)^2 = 8/0.018
Taking the square root of both sides, we have:
x - 20 = ±√(8/0.018)
Simplifying the expression under the square root, we get:
x - 20 = ± 33.6
Adding 20 to both sides, we get:
x = 20 ± 33.6
Therefore, the x-intercepts of the function h(x) are x = 20 + 33.6 and x = 20 - 33.6.
Interpreting the solution in a complete sentence with units: The x-intercepts of the function h(x) represent the distances the football has traveled when it is at ground level (h(x) = 0).
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Geometry question Need help with #10
Answer:
x = 6
Step-by-step explanation:
Line segment SU is a bisector of angle <TSV which means it divided the angle into two equal parts:
The measure of <TSV = 62 in this case the measure of <VSU = 62/2 = 31
we can write the following equation to find the value of x
5x + 1 = 31 subtract 1 from both sides
5x = 30 divide both sides by 5
x = 6
A rocket booster initially applies 10,000 N of force to a 1,000.0 kg rocket causing it to accelerate at 10.0 m/s2. Ten minutes later, the rocket booster is released and it falls through the atmosphere.
The mass of the rocket is now 760.0 kg and its acceleration is 7.0 m/s2. How much force is now being applied to the rocket?
Answer:
5320 Newtons
Step-by-step explanation:
mass time acceleration so 760 kg times 7 secs
The force that should be applied to the rocket is 5,320N.
Given that,
The mass of the rocket is now 760.0 kg and its acceleration is 7.0 \(m/s^2.\)Based on the above information, the calculation is as follows:
\(= 760 \times 7.0\)
= 5,320N
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X is an exponential random variable with a = 4. If Y= -2X+2, which of the following is closest to fy(0)? a. 0.12 b. 0.10 c. 0.08 d. 0.06 e. 0.04
The result is approximately 0.0366. Comparing this value with the given options, the closest answer is e. 0.04.
Given X is an exponential random variable with λ = 4. We want to find f_Y(0), where Y = -2X + 2.
First, let's find the inverse transformation of Y: X = (2 - Y)/2
Now, we'll find the Jacobian of the transformation:
dX/dY = -1/2
Next, we'll find the probability density function (PDF) of X: f_X(x) = λe^(-λx) = 4e^(-4x)
Now we can find the PDF of Y using the formula: f_Y(y) = f_X((2 - y)/2) * |dX/dY|
Substitute the values: f_Y(y) = 4e^(-4(2 - y)/2) * |-1/2|
Now we can find f_Y(0): f_Y(0) = 4e^(-4(2 - 0)/2) * |-1/2| f_Y(0) = 4e^(-4) * 1/2
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find the amplitude and period of the function. y = −3 cos(5x)
So, the period of the function is 2π/5. The general form of the cosine function is y = A cos(Bx + C) + D,
where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.
In this case, the given function is y = -3 cos(5x). Comparing with the general form, we have:
A = -3 (amplitude)
B = 5 (frequency)
The amplitude is the absolute value of the coefficient in front of the cosine function, which is |-3| = 3. So, the amplitude is 3.
The period of the function is given by the formula: period = 2π / B
Substituting B = 5, we get:
period = 2π / 5
So, the period of the function is 2π/5.
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recitation 9 : b-trees what is the relation between the minimum branching factor and the minimum degree of a b-tree? which of the following are legal b-trees for when the minimum branching factor t
The minimum branching factor of a B-tree is the minimum number of children a node can have in order to keep the tree balanced.
What is a B-tree?
A self-balancing search tree is the B-Tree. It is assumed that everything is in the main memory in the majority of the other self-balancing search trees (such AVL and Red-Black Trees).
We must consider the vast quantity of data that won't fit in the main memory in order to comprehend the utilisation of B-Trees. Data is read from the disc in the form of blocks when the number of keys is high. In comparison to the access time to main memory, disc access time is quite long. Reducing the amount of disc accesses is the major goal of employing B-Trees. The majority of tree operations, such as search, insert, delete, max, min, etc., call for O(h) disc accesses, where h is the tree height. A fat tree is the B-tree.
By packing as many keys as you can into each B-Tree node, the height of B-Trees is maintained to a minimum. The disc block size is often maintained at the same as the B-Tree node size. In comparison to balanced Binary Search Trees like the AVL Tree, Red-Black Tree, etc., the B-low tree's height results in a considerable reduction in the overall number of disc visits for the majority of operations.
b-trees what is the relation between the minimum branching factor and the minimum degree of a b-tree? which of the following are legal b-trees for when the minimum branching factor.
It is also known as the minimum degree of the B-tree. The minimum degree of a B-tree must be greater than or equal to the minimum branching factor.
The following are all legal B-trees for when the minimum branching factor is 3:
- 3-3-3-3 B-tree
- 2-3-3-4 B-tree
- 2-3-4-5 B-tree
- 3-4-5-6 B-tree
- 2-4-5-6 B-tree
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-4x + 13 = 5
X=?
.................
Answer:
2
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
How do you do rise over run
Answer:
Rise over Run is another term for the slope
Step-by-step explanation:
to find the slope, (y2 - y1)/(x2 - x1)
Answer:
If you look at a graph, you see 2 lines forming a "plus" shape. The horizontal line is called the x-axis, and the verticle line is called the y-axis. Rise over run is how much the y changes when the x changes. So if the graph increases its y value by 2 each time the x increases by 1, then rise over run is 2.