Answers
46) True
47) False
These are true by definition.
Related Questions
The controller of MingWare Ceramics Inc. wishes to prepare a cost of goods sold budget for September. The controller assembled the following information for constructing the cost of goods sold budget: Direct materials: Enamel Paint Porcelain Total Total direct materials purchases budgeted for September $35,870 $7,530 $139,890 $183,290 Estimated inventory, September 1 1,730 4,150 6,920 12,800 Desired inventory, September 30 2,980 2,710 7,150 12,840 Direct labor cost: Kiln Department Decorating Department Total Total direct labor cost budgeted for September $51,550 $149,500 $201,050 Finished goods inventories: Dish Bowl Figurine Total Estimated inventory, September 1 $5,810 $3,310 $2,730 $11,850 Desired inventory, September 30 3,720 4,590 4,360 12,670 Work in process inventories: Estimated inventory, September 1 $3,540 Desired inventory, September 30 1,980 Budgeted factory overhead costs for September: Indirect factory wages $80,400 Depreciation of plant and equipment 10,550 Power and light 5,110 Indirect materials 3,390 Total 99,450 Use the preceding information to prepare a cost of goods sold budget for September. For those boxes in which you must enter subtracted or negative numbers use a minus sign. MingWare Ceramics Inc. Cost of Goods Sold Budget For the Month Ending September 30 Finished goods inventory, September 1 $Finished goods inventory, September 1 Direct labor $Direct labor Direct materials: $- Select - - Select - $- Select - - Select - $- Select - Direct labor fill in the blank 15 - Select - - Select - $- Select - Work in process inventory, September 30 fill in the blank 22 - Select - $- Select - - Select - $- Select - 4,100
Answers
The preparation of the Cost of Goods Sold Budget for MingWare Ceramics Inc. in September is as follows:
Cost of Goods Sold Budget:Beginning inventory of finished goods $11,850
Cost of goods manufactured 485,310
Ending inventory of finished goods (12,670)
Cost of Goods Sold $484,490
What is the cost of goods sold budget?The cost of goods sold budget sums the costs of the beginning inventory of finished goods with the cost of goods manufactured and subtracts the ending inventory of finished goods.
The cost of goods sold budget is based on the cost of goods manufactured budget.
Data and Calculations:Direct materials: Enamel Paint Porcelain Total
Total direct materials purchases
budgeted for September $35,870 $7,530 $139,890 $183,290
Estimated inventory, September 1 1,730 4,150 6,920 12,800 Desired inventory, September 30 (2,980) (2,710) (7,150) (12,840)
Materials used in production $183,250
Direct labor cost: Kiln Department Decorating Department Total
Total direct labor cost
budgeted for September $51,550 $149,500 $201,050
Finished goods inventories: Dish Bowl Figurine Total
Estimated inventory, September 1 $5,810 $3,310 $2,730 $11,850
Desired inventory, September 30 3,720 4,590 4,360 12,670
Cost of goods manufactured budget:Work in process inventories:
Estimated inventory, September 1 $3,540
Direct materials used in production $183,250
Direct labor costs $201,050
Total factory overhead costs $99,450
Desired inventory, September 30 (1,980)
Cost of goods manufactured $485,310
Budgeted factory overhead costs for September:Indirect factory wages $80,400
Depreciation of plant and equipment 10,550
Power and light 5,110
Indirect materials 3,390
Total 99,450
Thus, to prepare the cost of goods sold, as above, MingWare Ceramics, requires to determine the cost of goods manufactured for September.
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Use identities to find the values of the sine and cosine functions for the following angle measure.
θ, given that cos 20 =12/13 and θ terminates in quadrant I. Find sin θ and cos θ. Can you explain how do it and what is the answer?
Answers
Using the cosine double angle formula,
[tex]\cos 2\theta=2\cos^2 \theta-1=\frac{12}{13}\\\\2\cos^{2} \theta=\frac{25}{13}\\\\\cos^{2} \theta=\frac{25}{26}\\\\\boxed{\cos \theta=\frac{5}{\sqrt{26}}}[/tex]
(Note I took the positive case since [tex]\theta[/tex] terminates in the first quadrant)
Using the Pythagorean identity,
[tex]\sin^2 \theta+\cos^2 \theta=1\\\\\sin^2 \theta+\frac{25}{26}=1\\\\sin^2 \theta=\frac{1}{26}\\\\\boxed{\sin \theta=\frac{1}{\sqrt{26}}}[/tex]
(Note I took the positive case since [tex]\theta[/tex] terminates in the first quadrant)
A new baby grew 3/4 of an inch in June and 7/16? 4- in July. How many total inches did the baby grow during these two months?
Answers
Answer:
The baby grew 1 3/16 inches
Step-by-step explanation:
A new baby grew:
3/4 of an inch in June,7/16 of an inch in July.Total inches during two months:
3/4 + 7/16 = Fractions with different denominators3*4/(4*4) + 7/16 = Multiply the first fraction by 4 12/16 + 7/16 = Add numerators19/16 = Numerator is greater than denominator(16 + 3)/16 = Convert to mixed fraction16/16 + 3/16 = 1 + 3/16 = 1 3/16 AnswerThe mean of a normally distributed data set is 118, and the standard deviation is 16.
a) Use the standard normal table to find the probability that a randomly-selected data value is greater than 140.
b) Use the standard normal table to find the probability that a randomly-selected data value is less than 90.
Answers
Step-by-step explanation:
a)
z = (140 - 118)/16 = 22/16 = 11/8 = 1.375 ≈ 1.38
in the z-table this gives us the p-value : 0.91621
that is the probability of values 140 and below.
for above 140 we need to calculate the value of the other side of the bell-curve :
1 - 0.91621 = 0.08379
b)
z = (90 - 118)/16 = -28/16 = -7/4 = -1.75
in the z-table this gives us the p-value : 0.04006
that is the probability of values of 90 and below.
which of the following best describes the graph below?
Answers
The correct answer is the option A because in one-to-one functions, each y value corresponds to only one x value.
About 5% of the population has a particular genetic mutation. 300 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 300. Round your answer to two decimal places.
Answers
If the sample size is 300 and about 5% of the population has a particular genetic mutation then the standard deviation for the number of people with the genetic mutation in such groups of 300 is 3.77.
Given sample size be 300 and about 5% of the population has a particular genetic mutation.
We are required to find the standard deviation for the number of people with the genetic mutation in groups of 300.
Sample size=300
The standard deviation for the number of people with the genetic mutation is calculated as:
Standard deviation=[tex]\sqrt{np(1-p)}[/tex]
Use the known values in the above formula.
Standard deviation=[tex]\sqrt{300*0.05(1-0.05)}[/tex]
=[tex]\sqrt{14.25}[/tex]
=3.77
Hence if the sample size is 300 and about 5% of the population has a particular genetic mutation then the standard deviation for the number of people with the genetic mutation in such groups of 300 is 3.77.
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a number line shows the whole numbers from 0 to 10 describe where you would plot square root 30
Answers
Find the magnitude and direction of each resultant for the given vectors. Round each side to the nearest tenth and round each angle to the nearest degree.
w = < 5, 6 >, x = < -1, 14 >
Answers
The magnitude of the resultant vectors is 20.4 units and the direction of the vectors is 79⁰.
Magnitude of the resultant vector
Sum of vectors in x direction, ∑X = 5 - 1 = 4
Sum of the vectors in y direction, ∑Y = 6 + 14 = 20
Resultant vector = √(∑X² + ∑Y²)
Resultant vector = √(4² + 20²) = 20.4 units
Direction of the vectorθ = arc tan (ΣY/ΣX)
θ = arc tan (20/4)
θ = arc tan (5)
θ = 78.7⁰
θ ≈ 79⁰
Thus, the magnitude of the resultant vectors is 20.4 units and the direction of the vectors is 79⁰.
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The difference of the square of a number and 36 is equal to 5 times that number. Find the positive solution.
Answers
Answer:
x=-4, x=9
Step-by-step explanation:
We write this into words:
difference = subtraction
square = ^2
a number = x
is equal to = =
5 times that number = 5x
x^2-36 = 5x
write in standard form
x^2-5x-36
what adds to -5 and multiplies to -36?
-9 and 4!
(x-9)(x+4)
x-9 = 0
x= 9
x+4 = 0
x=-4
Answer:
9
Step-by-step explanation:
Let the number = x.
x² - 36 = 5x
x² - 5x - 36 = 0
(x - 9)(x + 4) =0
x = 9 or x = -4
Answer: 9
It takes 3 liters of paint to cover an area of 24 square meters. What percentage increase in the quantity of paint would be required to cover an area of 50.4 square meters?
Answers
Answer:
110 [%].
Step-by-step explanation:
if the initial area is 24 m² and final area 50.4 m², then the required percentage can be calculated as:
[tex]\frac{50.4}{24}*100-100=110[/tex] ,
where 50.4/24*100 - the final percentage.
P.S. It means, the final value of the paint is 3*2.1=6.3 [liters].
what are the 5 different way to solve the quadratic equations
Answers
Step-by-step explanation:
A quadratic equation is a equation with a degree of 2. Below are the 5 ways to solve a quadratic equation.
Factoring - First, make sure that one side of the equation is 0. Turn the equation into a product of two binomials and set each one to 0. Solve both to get both solutions.Completing the Square - Add to both sides such that one side becomes a square of a binomial. Square root both sides and solve with algebra.Square Roots - If one side of the equation is a perfect square, square root both sides and solve normally.Graphing - Make one side of the equation 0 and graph. The x-intercepts are the solutions.Quadratic Formula - First, make the equation follow the form [tex]ax^2+bx+c=0[/tex]. Then, use the formula [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex] to get the solutions.solve the algebraic equation 7 x - 2 equals to 2x + 13
Answers
Answer:
x = − 6
Step-by-step explanation:
I have my work
7x - 2x = 13 + 2
5x = 15
X = 3
What is the solution to the system of equations?
y = 2/3 x + 3
X= -2
Answers
The solution to the given system of equations is x = -2, y = 5/3. That is (-2, 5/3)
Solving system of equationsFrom the question, we are to determine the solution to the given system of equations
The given system of equation is
y = 2/3 x + 3 ----------- (1)
x= -2 ----------- (2)
The value of x has been given in the second equation of the system of equations.
Now, we will determine the value of y
From the second equation, we have that
x = -2
Substitute the value of x into the first equation,
y = 2/3 x + 3
y = 2/3 (-2) + 3
y = -4/3 + 3
y = 5/3
Hence, the solution to the given system of equations is x = -2, y = 5/3. That is (-2, 5/3)
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MR MARK MARKS HIS CLASS ON A NORMAL CURVE. THOSE WITH z-SCORES ABOVE 1.8 WILL RECEIVE AN A, THOSE
BETWEEN 1.8 AND 1.1 WILL RECEIVE A B, THOSE BETWEEN 1.1 AND -1.2 WILL
RECEIVE A C, THOSE BETWEEN -1.2 AND -1.9 WILL RECEIVE A D, AND THOSE
UNDER -1.9 WILL RECEIVE AN F.
FIND THE PERCENT OF GRADES THAT WILL BE
A, B, C, D, AND F.
Answers
Using the normal distribution, it is found that the percentages are given as follows:
3.59% of the grades will be A.9.98% of the grades will be B.74.92% of the grades will be C.8.64% of the grades will be D.2.87% of the grades will be F.Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The prorportion of students who receive an A is one subtracted by the p-value of Z = 1.8.
Looking at the z-table, Z = 1.8 has a p-value of 0.9641.
1 - 0.9641 = 0.0359.
3.59% of the grades will be A.
For B, it is the p-value of Z = 1.8 subtracted by the p-value of Z = 1.1, hence:
0.9641 - 0.8643 = 0.0998.
9.98% of the grades will be B.
For C, it is the p-value of Z = 1.1 subtracted by the p-value of Z = -1.2, hence:
0.8643 - 0.1151 = 0.7492.
74.92% of the grades will be C.
For D, it is the p-value of Z = -1.2 subtracted by the p-value of Z = -1.9, hence:
0.1151 - 0.0287 = 0.0864.
8.64% of the grades will be D.
For F, it is the p-value of Z = -1.9, hence 2.87% of the grades will be F.
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2[tex]\pi[/tex] x 24 simplified
Answers
Answer: [tex]48\pi[/tex]
Step-by-step explanation:
[tex](2 \times 24)\pi=48\pi[/tex]
Is 25x²-40xy+16y²a perfect square number? why?
Answers
Answer:
yes
Step-by-step explanation:
25x² - 40xy + 16y² can be factored as
(5x - 4y)² ← a perfect square
Jolene set up a retirement account. She arranged to have $350 taken out of each of her monthly checks; the account will earn 2.1 % interest compounded monthly. She just turned 33 and her ordinary annuity comes to term when she turns 60. Find the value of her retirement account at that time
Answers
Answer:
$152,419.36
Step-by-step explanation:
The future value of an ordinary annuity is given by the formula ...
FV = P((1 +r/12)^(12t) -1)/(r/12)
where P is the monthly payment, r is the annual interest rate, and t is the number of years.
Annuity valueFor P = 350, r = 0.021, and t = 27 (years to retirement age), the value is ...
FV = 350((1 +0.021/12)^324 -1)/(0.021/12) ≈ $152,419.36
The value of Jolene's retirement account when she turns 60 will be $152,419.36.
A baseball travels d meters t seconds after being dropped from the top of the building
Answers
Considering the given function, it is found that:
When t = 0, d = 0 meters.When t = 0.5, d = 1.25 meters.When t = 1, d = 5 meters.When t = 1.5, d = 11.25 meters.When t = 2, d = 20 meters.Since the changes for each 5 second interval are not the same, the ball is not traveling at a constant speed.
What is the function for the distance traveled by the ball?The function is:
d = 5t².
Hence:
When t = 0, d = 5 x 0² = 0 meters.When t = 0.5, d = 5 x 0.5² = 1.25 meters.When t = 1, d = 5 x 1 = 5 meters.When t = 1.5, d = 5 x 1.5² = 11.25 meters.When t = 2, d = 5 x 2² = 20 meters.Since the changes for each 5 second interval are not the same, the ball is not traveling at a constant speed.
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if tan theta = 1/√5 then verify the identity sin²theta + cos²theta = 1
Answers
The identity of sin²Ф + cos²Ф = 1 is verified below
How to evaluate Trigonometry Ratio ?Trigonometry ratio can be evaluated by following the laid down rules with the the use of table and calculator
Given that tan Ф = 1/√5
Where Tan Ф = Opposite / adjacent
We can calculate the hypotenuse by using Pythagoras theorem
Hyp² = 1² + (√5)²
Hyp² = 1 + 5
Hyp = √6
sin Ф = opp / hyp
sin Ф = 1/√6
sin²Ф = 1/6
cos Ф = adj / hyp
cosФ = √5 / √6
cos²Ф = 5/6
sin²Ф + cos²Ф = 1/6 + 5/6
sin²Ф + cos²Ф = 6/6
sin²Ф + cos²Ф = 1
Therefore, the identity of sin²Ф + cos²Ф = 1 is verified.
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I need help solving
Answers
The graph of the translated function can be seen in the image below.
How to translate the graph of a function?
For a given function f(x), we define a vertical translation of N units as:
g(x) = f(x) + N
Where if N is positive, the translation is upwards. If N is negative, the translation is downwards.
In this case, we have:
y = f(x) - 2
Then we just need to translate the given graph 2 units below, we will get the graph you can see below.
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what is the solution I need help
Answers
Since Hassan's estimation is between 0.4 and 0.5, hence the Hassan is incorrect because √0.15 is less than 0.4
Square root of numbersThe square root of numbers is is expressed using the square root sign. In order to determine the square root os 0.15 given, we need need to determine the square of perfect square before and after the given number.
For the square root of √0.09
√0.09 = 0.3
Similarly for the square root of √0.16
√0.16 = 0.4
Since the resulting value is 0.3 and 0.4, hence the square root of 0.15 must be between these two values on the number line.
Since Hassan's estimation is between 0.4 and 0.5, hence the Hassan is incorrect because √0.15 is less than 0.4
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(questions in image)
A. Which plane contains line b?
B. Name 3 Collinear Points
C. Name the plane containing point W
D. Name two points not coplanar with points T and Q
E. At which line do the planes M and N intersect
Answers
Answer:
1. Plane N
2. Points P, Q, R
3. Plane CRW …
4. Points K and H
5. Line a
Use the function f(x) = 4x² - 7x-15 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph
Answers
a) The factor form of the polynomial is f(x) = 4 · (x - 3) · (x + 5 / 4).
b) The values of the x-intercepts of the graph of f(x) are represented by the roots found in part a).
c) The function has a minimum and grows in the + y direction.
d) Marking the two x-intercepts, second, generating a line perpendicular to the x-axis that passes the midpoint of the line segment generated by the two intercepts and estimate the location of the vertex and, finally, creating a parabola with a minimum and growing in the + y direction by matching the points.
How to analyze and interpret quadratic functions?
In this problem we have a quadratic function in standard form, that is, an equation of the form f(x) = a · x² + b · x + c, where a, b and c are real coefficients. a) First, we need to complete the square and find the roots to determine the factorized form:
4 · x² - 7 · x - 15 = 0
4 · [x² - (7 / 4) · x - (15 / 4)] = 0
x² - (7 / 4) · x - (15 / 4) = 0
x² - 2 · (7 / 8) · x - (15 / 4) + (289 / 64) = 289 / 64
x² - 2 · (7 / 8) · x + 49 / 64 = 289 / 64
(x - 7 / 8)² = 289 / 64
x - 7 / 8 = ± 17 / 8
x = 7 / 8 ± 17 / 8
Then, the factor form of the polynomial is f(x) = 4 · (x - 3) · (x + 5 / 4).
b) The values of the x-intercepts of the graph of f(x) are represented by the roots found in part a).
c) The end behavior of the graph is inferred from the lead coefficient. A positive coeffcient , which is the case of the function, indicates that vertex of the polynomial is a minimum and parabola grows in the + y direction.
d) In accordance with algebra, we can generate a quadratic equation by knowing three distinct points on Cartesian plane.
First, mark the two x-intercepts, second, generate a line perpendicular to the x-axis that passes the midpoint of the line segment generated by the two intercepts and, finally, generate a parabola with a minimum and growing in the + y direction.
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Tara cuts a 300 inch long spool of yarn into two pieces of different sizes. The longer piece is three times as long as the shorter piece. How long is the shortest piece?
Answers
Answer:
75 inches
Step-by-step explanation:
Let x = the short side
Let y = the long side
x + y = 300
y = 3x
Plug 3x for y into the first equation:
x + 3x = 300
4x = 300 Divide both sides by 4
x = 75
What is
6/7 of 2/3.
Answers
Step-by-step explanation:
[tex] = \frac{6}{7} \times \frac{2}{3} \\ [/tex]
[tex] = \frac{12}{21} \\ [/tex]
Change into lowest term...
[tex] = \frac{4}{7} \\ [/tex]
...
Explanation: 6/7 = .8572, 2/3 = .6667
.8572 x .6667 = .5714 = 4/7
I hope that this helped! :)
Harry took a loan from the bank.
DDD represents Harry's remaining debt (in dollars) after ttt months.
D=-200t+9000D=−200t+9000D, equals, minus, 200, t, plus, 9000
What was the size of Harry's loan?
Answers
The amount of Harry's loan is $9000.
A loan is when money is lent to another person with the understanding that it would be repaid, along with interest.
According to the question,
A bank loan is taken up by Harry.
After t months, D indicates Harry's outstanding debt (in dollars).
D=-200t+9000
In order to find the initial size of Harry's loan, the time(t)=0, that is, the time when no debts had been paid.
The negative sign in the expression of D denotes the payment of debt.
Substituting t=0, we get,
D=-200*0+9000
D=9000
Thus, the amount of loan taken by Harry is $ 9000.
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Which arithmetic sequence has a common difference of -21? ( only one is correct )
a) {873, 894, 915, 936, …}
b) {32, 20, 8, -4, …}
c) {1,245; 1,224; 1,203; 1,182; …}
d) {1,563; 1,587; 1,611; 1,635; …}
Answers
Answer: c) {1,245; 1,224; 1,203; 1,182; …}
Step-by-step explanation:
Concept:
For this question, we just go by eliminating each answer until we get the correct one
Given information
Common difference = -21 (decreasing sequence)
Answer Choice: a) {873, 894, 915, 936, …}
894 - 873 = 21
915 - 895 = 21
936 - 915 = 21
Since the common difference is 21, not -21
[tex]\large\boxed{FALSE}[/tex]
Answer Choice: b) {32, 20, 8, -4, …}
20 - 32 = -12
8 - 20 = -12
-4 - 8 = -12
Since the common difference is -8, not -21
[tex]\large\boxed{FALSE}[/tex]
Answer Choice: c) {1,245; 1,224; 1,203; 1,182; …}
1224 - 1245 = -21
1203 - 1224 = -21
1182 - 1203 = -21
Since the common difference is -21
[tex]\Huge\boxed{TRUE}[/tex]
Answer Choice: d) {1,563; 1,587; 1,611; 1,635; …}
1587 - 1563 = 24
1611 - 1587 = 24
1635 - 1611 = 24
Since the common difference is 24, not -21
[tex]\large\boxed{FALSE}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
an angle exceeds three times its complement by 10 find it. please explain properly i will mark as brilliant
Answers
Answer:
It's supplementary angle I think
Answer:
one angle is 20° and the other is 70°
Step-by-step explanation:
Complementary angles add up to 90°.
Here it is given that an angle exceeds 3 times its complement by 10. So, we are taking the complement as x. Since it exceeds its complement 3 times, we are multiplying the complement 3 times. so we get [tex]3x[/tex].
Now we also need to add 10, so we get the final equation [tex]3x+10[/tex], which is the second angle.
As of now, first angle = x and second angle = 3x+10.
Since they are complementary angles, both angles add up to 90°
⇒ 1st angle + 2nd angle = 90°
∴ [tex]x+3x+10 = 90[/tex] [since 3x and x are like expressions, we should add 3x + x = 4x]
⇒ [tex]4x = 90 - 10[/tex] [by transposing 10 from LHS to RHS]
⇒ [tex]4x = 80[/tex]
⇒ [tex]x = \frac{80}{4}[/tex] [by transposing 4 from LHS to RHS]
⇒ [tex]x = 20[/tex]
∴The complementary angle is 20° and the given angle is [(3 × 20) + 10)] = 70°
If a certain train fare costs $5.00 for the first
10 miles of service, $0.25 per mile for the next
40 miles, and $0.10 per mile for each additional
mile, what would the train fare be to travel a
total distance of 100 miles?
Answers
Answer:
$20
Step-by-step explanation:
$5.00 = 10miles
$0.25(40) = 40 miles
Remaining miles: 100 - (10 + 40) = 50
0.10(50) = 50 miles
5.00 + 0.25(40) + 0.10(50)
5.00 + 10.00 + 5.00
$20.00 for 100 miles
Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The equation y=60x+30
y=60x+30 represents what Health Club B charges. Health Club A charges a $50 sign-up fee and $27 per month.
Answers
Answer:
y = (constant variable x time) + independent variable
y = 60x + 30 ← Health Club B
y = 27x + 50 ← Health Club A
Step-by-step explanation:
I can't see the question at the bottom due to the covering but if you comment I can edit this and give a proper answer. Otherwise this is all I can give you.
