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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Solve for x
Please write your work
Answer:
Step-by-step explanation:
12 + 2x + 24 = 27 + x
2x + 36 = 27 + x
x + 36 = 27
x = -9
2(-9) + 24 = -18 + 24 = 6
12 + 6 = 18
27 + (-9) = 18
what is 4,928 will rounded to the nearest hundred
Answer:
4,928 rounded to the nearest hundred = 4,900
Step-by-step explanation:
Greetings!
Determine the two consecutive multiples of 100 that bracket 4,928.4,928 is between 4,900 and 5,000.4,950 is the midpoint between 4,900 and 5,000.As illustrated on the number line, 4,928 is less than the midpoint (4,950).Therefore, 4,928 rounded to the nearest hundred = 4,900.Hope it helps!
Answer:
The answer is 4900, because the next number is less than five, due to that we don't have to add a number (+1).
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I hope help you :)
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One fifth increase over 400
Answer:
480
Step-by-step explanation:
1/5 of 400 = 1/5 * 400 = 80
increase 400 by 80 = 480
FIND THE INDICATED PROBABILITY FOR THE FOLLOWING:
IF P(A OR B) = 0.9, P(A) = 0.5, AND P(B) = 0.6, FIND P(A AND B)
The value of the probability P(A and B) is 0.20
How to determine the probability?The given parameters about the probability are
P(A or B) = 0.9
P(A) = 0.5
P(B) = 0.6
To calculate the probability P(A and B), we use the following formula
P(A and B) = P(A) + P(B) - P(A or B)
Substitute the known values in the above equation
P(A and B) = 0.5 + 0.6 - 0.9
Evaluate the expression
P(A and B) = 0.2
Hence, the value of the probability P(A and B) is 0.20
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Please help, due in an hour. Two sides of a triangle are 12cm and 8cm. Complete the inequality to show the possible lengths for the third side. If the third side of the triangle is x then, _
Answer:
[tex]4 < x < 20[/tex]
Step-by-step explanation:
By the triangle inequality theorem, the sum of the length of the two smaller sides must be greater than the length of the largest side. If 12 cm was the length of the largest side, notice that [tex]8+x > 12 \Rightarrow x > 4[/tex]. Similarly, if x was the length of the largest side, we'd get the inequality [tex]12+8 > x \Rightarrow 20 > x[/tex]. Combining these inequalities, we get [tex]\boxed{4 < x < 20}[/tex].
Consider the equation
x/x − 1 = 6x + 1/x − 1
What is the LCD?
Multiply both sides of the equation by the LCD and rewrite the resulting quadratic equation in general form. _____=0
Solve the equation and check the solutions in the original equation. (Enter your answers as a comma-separated list.) x=________
The solution to the original equation is 1, 1/6
Solving equationEquations are expressions separated by mathematical operations.
Given the equation below
x/x − 1 = 6x + 1/x − 1
From the given expression, the least common denominator is x -1
Multiply both sides by x-1 to have;
x = 6x(x-1) +1
Expand
x = 6x^2-6x + 1
Equate to zero
6x^2-6x-x + 1 = 0
6x^2-7x +1= 0
The resulting quadratic equation in general form is 6x^2-7x +1 = 0
Factorize
6x^2 -6x-x + 1 = 0
Group the result
6x(x-1)-1(x-1) = 0
(6x-1)(x-1) = 0
6x - 1 = 0 and x -1 = 0
x = 1 and 1/6
Hence the solution to the original equation is 1, 1/6
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A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $29. For 5 pounds of trail mix and 2 pounds of jelly beans, the total cost is $20. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
the price of one pound of trail mix is $3
the price of one pound of jelly beans is $2.5
Step-by-step explanation :
let t be the price of one pound of trail mix.
and b be the price of one pound of jelly beans.
This statement:
“For 3 pounds of trail mix and 8 pounds of jelly beans,
the total cost is $29”
Can be translated mathematically like this :
3t + 8b = 29
This statement:
“For 5 pounds of trail mix and 2 pounds of jelly beans,
the total cost is $20”
Can be translated mathematically like this :
5t + 2b = 20
We obtain a system of two equations :
3t + 8b = 29
5t + 2b = 20
Solving the system:
3t + 8b = 29 (equation 1)
5t + 2b = 20. (equation 2)
3t + 8b = 29
20t + 8b = 80 [4×(equation 2)]
3t + 8b = 29
17t = 51 [4×(equation 2) - equation 1]
3t + 8b = 29
t = 51/17 = 3
9 + 8b = 29
t = 3
8b = 20
t = 3
b = 20/8 = 5/2
t = 3
b = 5/2
t = 3
Therefore ,the solution to our system is (3 , 2.5)
mary is making a batch of chocolate chip cookies the recipe calls for 9 cups of flour and 2 4/7 cups of sugar she isshort on flour cuts the recipe down to 7 cups if flour how much sugar should she add
Answer:
2
Step-by-step explanation:
Rock Solid Bank and Trust (RSB&T) offers only checking accounts. Customers can write checks and use a network of automated teller machines. RSB&T earns revenue by investing the money deposited; currently, it averages 7.00 percent annually on its investments of those deposits. To compete with larger banks, RSB&T pays depositors 0.50 percent on all deposits. A recent study classified the bank’s annual operating costs into four activities.
Activity Cost Driver Cost Driver Volume
Using ATM Number of uses $ 4,200,000 5,600,000 uses
Visiting branch Number of visits 2,520,000 420,000 visits
Processing transaction Number of transactions 18,480,000 224,000,000 transactions
Managing functions Total deposits 16,800,000 $ 1,050,000,000 in deposits
Total overhead $ 42,000,000
Data on two representative customers follow.
Customer A Customer B
ATM uses 100 200
Branch visits 5 20
Number of transactions 40 1,500
Average deposit $ 6,000 $ 6,000
Required:
a. Compute RSB&T's operating profits.
b. Compute the profit from Customer A and Customer B, assuming that customer costs are based only on deposits. Interest costs = 0.50 percent of deposits; operating costs are 4 percent (= $42,000,000/$1,050,000,000) of deposits.
c. Compute the profit from Customer A and Customer B, assuming that customer costs are computed using the information in the activity-based costing analysis.
A) RSB&T's operating profits are 2,625,000.
B) The profit from Customer A = 42 and Customer B=42.
C) The profit from Customer A=77.7 and Customer B=-207.75(loss)
What does mean by profit?Profit is the term used to describe the financial gain experienced when the revenue from a commercial activity outweighs the costs, costs, and taxes incurred to maintain the activity in question.A business's financial gain when revenue exceeds costs and expenses is frequently referred to as profit. One cup of lemonade, for instance, costs a child at a lemonade stand one quarter. She then charges $2 for the beverage. She made $1.75 in profit on the cup of lemonade.All costs are first deducted from sales, and the result is then divided by sales. This creates the profit formula, which is expressed as a percentage. (Sales - Expenses) Sales = Profit is the formula.Data on two representative customers follow.
[A] Compute RSB&T's operating profits.
Computation of Operating Profits:-
Revenue 19,500,000
Interest to Depositors (1,875,000)
Overheads (15,000,000)
Total operating Profit 2,625,000
[B] Costs are based only on Deposits
Particulars A B
Revenue 312 312
Interest Cost -30 -30
Operating Cost -240 -240
Profits 42 42
[C] As per Activity based costing
Particulars A B
Revenue 312 312
Interest Cost -30 -30
ATM Uses -75 -150
Branch Visit -30 -120
Processing Transaction -3.3 -123.75
Managing Function -96 -96
Profits/Loss 77.7 -207.75
Therefore,
A) RSB&T's operating profits are 2,625,000.
B) The profit from Customer A = 42 and Customer B=42.
C) The profit from Customer A=77.7 and Customer B=-207.75(loss)
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The width of a rectangle measures
(7h+3) centimeters, and its length measures
(8h−4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
The expression that represents the perimeter of the rectangle is 30h - 2
How to determine the perimeter expression?The dimensions of the rectangle are given as:
Length = 7h + 3
Width = 8h - 4
The perimeter of the rectangle is given as:
P = 2 * (Length + Width)
Substitute the known values in the above equation
P =2 * (7h + 3 + 8h - 4)
Evaluate the like terms
P = 2 * (15h - 1)
Evaluate the product
P = 30h - 2
Hence, the expression that represents the perimeter of the rectangle is 30h - 2
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x+2y=5 and 4x-12y=-20 substitution and elimination method
By solving the equations x+2y=5, 4x-12y=-20 through elimination or substitution method we will get the value of x=1 and y=2.
Given two equations x+2y=5 and 4x-12y=-20.
We are required to solve the equations through elimination and substitution method.
Firstly we will solve the equations through elimination method.
x+2y=5-------------1
4x-12y=-20--------2
Multiply the equation 1 by 4 and then subtract the equation 2 from equation 1.
4x+8y-4x+12y=20+20
20y=40
y=2
Use the value of y in 1
x=5-2*2
x=5-4
x=1
From substitution method.
First find the value of x from first equation in terms of y.
x=5-2y-----4
Now put this value in second equation to get the value of y.
4(5-2y)-12y=-20
20-8y-12y=-20
20-20y=-20
-20y=-40
y=2
Put the value of y in equation 4.
x=5-2y
x=5-2*2
x=5-4
x=1
Hence by solving the equations x+2y=5, 4x-12y=-20 through elimination or substitution method we will get the value of x=1 and y=2.
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points a,b, and c make the triangle ABC and are at the coordinates A(-2,9), B(-33,13) and c(-21,25) point D is the midpoint of BC and AD is a median of ABC, the equation of the median can be given by ax+by=c where A B and C
what is most simple way to answer this
Answer:
[tex]2x+5y=41[/tex]
Step-by-step explanation:
Median of a triangle: A line segment that connects a vertex of a triangle to the midpoint of the opposite side.
Vertex: The point where any two sides of a triangle meet.
Given vertices of a triangle:
A = (-2, 9)B = (-33, 13)C = (-21, 25)Step 1Find the midpoint of BC (Point D) by using the Midpoint formula.
Midpoint between two points
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
Define the endpoints:
[tex]\text{Let }(x_1,y_1)=\sf B=(-33,13)[/tex][tex]\text{Let }(x_2,y_2)=\sf C=(-21,25)[/tex]Substitute the defined endpoints into the formula:
[tex]\textsf{Midpoint of BC}=\left(\dfrac{-21-33}{2},\dfrac{25+13}{2}\right)=(-27,19)[/tex]
Therefore, D = (-27, 19).
Step 2Find the slope of the median (line AD) using the Slope formula.
Define the points:
[tex]\textsf{let}\:(x_1,y_1)=\sf A=(-2,9)[/tex][tex]\textsf{let}\:(x_2,y_2)=\sf D=(-27,19)[/tex]Substitute the defined points into the Slope formula:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{19-9}{-27-(-2)}=-\dfrac{2}{5}[/tex]
Therefore, the slope of the median is -²/₅.
Step 3Substitute the found slope and one of the points into the Point-slope formula to create an equation for the median.
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-9=-\dfrac{2}{5}(x-(-2))[/tex]
Simplify and rearrange the equation so it is in standard form Ax+By=C:
[tex]\implies 5(y-9)=-2(x+2)[/tex]
[tex]\implies 5y-45=-2x-4[/tex]
[tex]\implies 2x+5y-45=-4[/tex]
[tex]\implies 2x+5y=41[/tex]
ConclusionTherefore, the equation of the median is:
2x + 5y = 41
Identify the slope and y-intercept of the line y = ×/2 -7
Answer:
Slope: [tex]-\frac{1}{5}[/tex] Y-intercept: (0,0)
Step-by-step explanation:
By putting this into a graph you can see that the y-intercept is (0,0). Also, by looking at the chart and using the walk, rise rule you can see that the slope is [tex]-\frac{1}{5}[/tex].
Evaluate the expression. P(9, 2) · P(6, 5)
Answer:
51,840
Step-by-step explanation:
The format of P(n, r) is used for permutations,
where [tex]P(n, r) = \frac{n!}{(n - r)!}[/tex]
To evaluate this expression, P(9,2), we use the formula of permutation,
We have the value of n = 9 and r = 2, thus,
[tex]P(n, r) = P(9, 2) = \frac{9!}{(9 - 2)!} =\frac{9!}{7!} =\frac{9*8*7!}{7!} = 9 *8 =72\\[/tex]
To evaluate this expression, P(6, 5), we use the formula of permutation,
We have the value of n = 6 and r = 5, thus,
[tex]P(n, r) = P(6, 5) = \frac{6!}{(6 - 5)!} =\frac{6!}{1!} =\frac{6*5*4*3*2*1!}{1!} = 6*5*4*3*2 = 720[/tex]
Therefore the product of P(9, 2) · P(6, 5) is
72 · 720 = 51,840
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answer this please tysm
Answer:
scalene
Step-by-step explanation:
hidhihihihihihi
Help me with this equation, please. (Image Attached)
So, the equation is sin(x + y)/sin(x - y) = (1 + cotxstany)/(1 + cotxtany)
The question has to to with trigonometric identities?
What are trigonometric identities?Trigonometric identities are equations that show the relationship between the trigonometric ratios.
How to solve the equation?Given the equation sin(x + y)/sin(x - y)
Using the trigonometric identities.
sin(x + y) = sinxcosy + cosxsiny andsin(x - y) = sinxcosy - cosxsinySo, sin(x + y)/sin(x - y) = (sinxcosy + cosxsiny)/(sinxcosy + cosxsiny)
Dividing the rnumerator and denominator of ight hand side by sinx, we have
sin(x + y)/sin(x - y) = (sinxcosy + cosxsiny)/sinx/(sinxcosy + cosxsiny)/sinx
sin(x + y)/sin(x - y) = (sinxcosy/sinx + cosxsiny/sinx)/(sinxcosy/sinx + cosxsiny/sinx)
= (cosy + cotxsiny)/(cosy + cotxsiny) (since cosx/sinx = cotx)
Dividing the numerator and denominator of the right hand side by cosy, we have
= (cosy + cotxsiny)/cosy/(cosy + cotxsiny)/cosy
= (cosy/cosy + cotxsiny/cosy)/(cosy/cosy + cotxsiny/cosy)
= (1 + cotxstany)/(1 + cotxtany) [since siny/cosy = tany]
So, sin(x + y)/sin(x - y) = (1 + cotxstany)/(1 + cotxtany)
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Please look at the attachment and help me with my question! (╥︣﹏᷅╥)
Peter:
£2.30 ÷ 6 = £0.38 each sausage
Paul:
£3.50 ÷ 10 = £0.35 each sausage
As you can tell, it is cheaper to buy from Paul because each sausage is £0.35 which is 3 pence less than buying from Peter.
In other words, the best value for money would go to the 10 pack sausage, saving £0.03 per unit of sausage.
However, that doesn't answer the question. You need to find how many packages you can get with your available £10.
£10 ÷ £2.30 = 4.34...
So, you can buy 4 packs of sausage from Peter - meaning you will get 24 sausages in total. This is because each pack contains 6 sausages, and you have 4 of this. (6x4=24)
£10 ÷ £3.50 = 2.85...
So, you can buy 2 packs of sausages from Paul & meaning you will get 20 sausages in toal because each package contains 10 sausages. (2x10 = 20)
Thus, you should buy from Peter because you get 24 sausages, instead of 20 sausages from Paul, in accordance to the £10 you can spend in both shops.
Hope this helps!
we conclude that the store where you can get more sausages is in Peter the Butcher.
Which shop is the best option?
You have £10.
Peter the Butcher sells 6 sausages for £2.30
The number of packages that you can buy is:
£10/£2.30 = 4.3
Rounding down to the next whole number, we conclude that here you can buy 4 packages, then:
4*6 = 24 sausages
4*£2.30 = £9.20
So here you can buy 24 sausages for £9.20
In Paul the butcher, you can buy 10 sausages for £3.50
Notice that here you can only buy 2 packages (because the cost of 3 packs would be £10.50, which is more than the amount you can spend).
Then here you only can get 20 sausages.
Then, we conclude that the store where you can get more sausages is in Peter the Butcher.
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Find the future value and interest earned if $8704.56 is invested for 8 years at 4% compounded (a) semiannually and (b) continuously.
intorntic compounded semiannually is approximately
a) The future value, principal plus interest, with compound interest on a principal of $8,704.56 at a rate of 4% per year compounded 2 times per year over 8 years is $11,949.50.
b) The future value, principal plus interest, with compound interest on a principal of $8,704.56 at a rate of 4% per year compounded continuously over 8 years is $11,987.29.
How is the future value determined?The future value can be determined using an online finance calculator.
Data and Calculations:
a) Compounded Semiannually:Principal (P): $8,704.56
Annual Rate (R): 4%
Compound (n): Compounding Semi-Annually
Time (t in years): 8 years
Result:
A = $11,949.50
A = P + I where
P (principal) = $8,704.56
I (interest) = $3,244.94
Calculation Steps:First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 8,704.56(1 + 0.04/2)(2)(8)
A = 8,704.56(1 + 0.02)(16)
A = $11,949.50
b) Compounded Continuously:Using the formula A = Pert
Principal (P): $8,704.56
Annual Rate (R): 4%
Compound (n): Compounding Continuously
Time (t in years): 8 years
Result:
A = $11,987.29
A = P + I where
P (principal) = $8,704.56
I (interest) = $3,282.73
Calculation Steps:First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A, using the mathematical constant, e = 2.71828
A = Pert
A = 8,704.56(2.71828)(0.04)(8)
A = $11,987.29
Thus, while the future value of $8,704.56 at a rate of 4% per year compounded semiannually over 8 years is $11,949.50, the future value of $8,704.56 at a rate of 4% per year compounded continuously over 8 years is $11,987.29.
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Find the slope of the line. On a coordinate plane, a line goes through (0, negative 6) and (2, 0). a. Negative one-third c. 3 b. One-third d. Negative 3 Please select the best answer from the choices provided A B C D
The slope of the line that passes through between (0, -6) and (2, 0) is: C. 3.
What is the Slope of a Line?The slope of a line can be defined as the measure of the ratio of the vertical distance to the horizontal distance that exists between two points on a coordinate plane.
How to Find the Slope of a Line?If we are given two points on a line, (x1, y1) and (x2, y2), the slope (m) is the rise/run = change in y / change in x = (y2 - y1)/(x2 - x1).
Given the following coordinates of two points as follows, (0, -6) and (2, 0), let:
(0, -6) = (x1, y1)
(2, 0) = (x2, y2)
Plug in the values into the slope formula to find the slope:
Slope (m) = (0 - (-6)) / (2 - 0)
Slope (m) = (0 + 6) / (2 - 0) [minus multiplied by minus is plus]
Slope (m) = (6) / (2)
Slope (m) = 3
Thus, the slope of the line that passes through between (0, negative 6) and (2, 0) is calculated as: C. 3.
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There are values of t so that the equation cos t = 5/3.
A. True
B. False
the statement is false, as there no exist a value of t such that cos(t) > 1.
Is the statement true or false?
Here we have the statement:
"There are values of t so that the equation cos(t) = 5/3"
Now, remember that the range of the sine and cosine equations is given by:
R: -1 ≤ y ≤ 1
And 5/3, the value in the statement, is larger than 1, which is the maximum in the range.
Then the statement is false, as there no exist a value of t such that cos(t) > 1.
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Complete the square -3x^2+12x-7
Answer:
[tex]-3(x-2)^2+5[/tex]
Step-by-step explanation:
First we can factor a -3 from the [tex]x^2[/tex] term and the [tex]x[/tex] term to get [tex]-3(x^2-4x)-7[/tex].
Then we want the stuff in the parentheses to have the form of [tex](x+b)^2[/tex], or equivalently, [tex](x^2+2b+b^2)[/tex] . So we can let [tex]2b = -4[/tex]. By solving it, we get [tex]b = -4/2 = -2[/tex]. Then our [tex]b^2[/tex] term should be [tex]b^2 = (-2)^2 = 4[/tex].
In order to make our [tex]b^2[/tex] term appear in the parentheses, we need to add and subtract our [tex]b^2[/tex] term, so we get [tex]-3(x^2 - 4x + 4 - 4) -7[/tex].
What we to keep inside our parentheses is [tex](x^2 - 4x + 4)[/tex] , so we can factor the [tex]-4[/tex] out of parentheses to get [tex]-3(x^2-4x+4-4)-7 = -3(x^2-4x+4)+(-3)(-4) - 7 = -3(x^2 - 4x + 4) + 12 - 7 = -3(x^2 - 4x + 4) + 5[/tex]
Finally, plugging [tex]b = -2[/tex] that we computed earlier into the equation [tex](x^2+2b+b^2) = (x+b)^2[/tex], we get [tex](x^2 - 4x + 4) = (x-2)^2[/tex].
So we have [tex]-3(x^2-4x+4)+5 = -3(x-2)^2+5[/tex].
In summary, the procedure is
[tex]-3x^2+12x-7 \\= &-3(x^2-4x) -7 \\= &-3(x^2-4x+4-4)-7 \\= -3(x^2-4x+4) + (-3)(-4)-7\\=-3(x^2-4x+4)+12-7\\= -3(x^2-4x+4)+5 \\= -3(x-2)^2+5[/tex]
(02.03)
Figure ABCD is transformed to A′B′C′D′, as shown:
A coordinate plane is shown. Figure ABCD has vertices A at 3 comma 1, B at 3 comma 4, C at 5 comma 5 and D at 5 comma 3. Figure A prime B prime C prime D prime has vertices A prime at negative 5 comma 1, B prime at negative 5 comma 4, C prime at negative 7 comma 5 and D prime at negative 7 comma 3.
Which of the following sequences of transformations is used to obtain figure A′B′C′D′ from ABCD? (4 points)
Group of answer choices
Reflection about the x-axis followed by a translation right by 2 units
Reflection about the y-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
The sequence of transformation carried out on ABCD is; B: Reflection about the y-axis followed by a translation left by 2 units
What is the type of Transformation used?
As in rotation, reflection and translation the transformed image is congruent to the original figure (i.e all the points undergo same change). Thus, analyzing any one point will give the series of transformation undertaken.
Taking point A(3, 1) into consideration; Reflecting a point (x, y) over y axis, it becomes (-x, y).
Thus, reflecting A(3, 1) over y - axis gives the the new coordinates as (-3, 1)
Now, translating a point (x, y) k units left, gives a new coordinate (x - k, y).
Thus, translating point (-3, 1) 2 units left, gives the new coordinates as A'(-5, 1).
This is the coordinates for A'.
Thus, we can conclude by saying that the sequence of transformation carried out on ABCD is reflected about the y-axis followed by a translation left by 2 units.
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X=y
Y=x
Is this is inverse equation
The inverse equation of x = y is y = x
What are inverse equations?Inverse equations are the opposite of an original equation
How to determine the inverse equation?The equation is given as
x = y
Swap the positions of x and y in the above equation
y = x
This means that the inverse equation of x = y is y = x
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Find the area of rhombus JKLM given the coordinates of the vertices. Round to the nearest tenth if necessary.
J(-2, -4), K(2, 2), L(6, -4), M(2, -10)
Answer:
The area of rhombus JKLM is 48 units²=====================================
Given Rhombus JKLM,Vertices at J(-2, -4), K(2, 2), L(6, -4), M(2, -10).To find The area of rhombus JKLMSolutionWe know that diagonals of rhombus are perpendicular to each other.
Hence its area is half the product of diagonals.
The diagonals are JL and KM and one of them is vertical and the other one horizontal since x- or y-coordinates are equal in pairs.
Let's find the length of diagonals, using the difference of coordinates:
JL = 6 - (-2) = 8 units,KM = 2 - (-10) = 12 units.Now find the area:
A = JL*KM /2 = 8*12 / 2 = 48 units²need heeeelp please
Answer:
376.99112cm²
Step-by-step explanation:
A=2 pi rh + 2 pi r²
A=(2 x pi x 5 x 7) + (2 x pi 5²)
pi 22/7
(pls help)
5. Write the rule for the linear function. Remember a function rule is written using using f(x).
The linear function whose points are given is f(x)=[tex]x/5 +1[/tex]
Given the points of the function f(-10)=-1,f(0)=1,f(10)=3.
We are required to find the function whose points are given.
Function is relationship between two or more variables that are expressed in equal to form. In function each value of x must have a corresponding y value.
x value is known as domain and y value if known as codomain of the function.
Take two points (-10,-1) and (0,1) and we can form one equation as under:
y+1=(1+1/0+10) * (x+10)
y+1=2/10 (x+10)
y+1=x/5 +10/5
y+1=x/5+2
y=x/5+2-1
y=x/5+1
Hence the linear function whose points are given is [tex]f(x) = x/5 +1[/tex]
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PLATO Type the correct answer in each box. Use numerals instead of words. In the figure, lines BD and QS are parallel. Two parallel lines B D, and Q S are intersected by a line A T at C, and R respectively such that the angle D C R is 77 degrees. Complete the given statement. The measure of ∠CRQ is °, and the measure of ∠CRS is °.
Answer:
c
Step-by-step explanation:
The measure of the angle ∠CRQ is 103° and the measure of the angle ∠CRS will be 103°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
In the figure, lines BD and QS are parallel. Two parallel lines B D, and Q S are intersected by a line AT at C, and R respectively such that the angle ∠DCR is 77 degrees.
We know that the angle ∠DCR & ∠SRT and ∠DCR & ∠SRT are corresponding angles. Then they are equal to each other.
∠DCR = ∠SRT = 77°
∠CRQ = ∠CRS
We know that the angle ∠CRQ and ∠CRS are supplementary angles. Then we have
∠CRQ + ∠SRT = 180°
∠CRQ + 77° = 180°
∠CRQ = 103°
Then the measure of the angle ∠CRQ is 103° and the measure of the angle ∠CRS will be 103°.
The diagram is given below.
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Solve the equation: (4x - 5)^4 = 81.
hope this helps
by
aman10we
The value of x after solving this equation is 2
What is a polynomial?Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11
Given here, the equation as : (4x - 5)^4 = 81.
(4x - 5)^4 = 3⁴.
4x - 5 = 3
x = 2
Hence, the value of x is equal to 2
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Which expressions are equivalent to 2(4f + 2g)?
Answer:
For example, 8f + 4g is one of the most used expression
Another example is 4 (2f + g), is correct too
Find the mean for the amounts: $17,484, $14,978, $13,521, $14,500, $18,540, $14,978
Answer:
$15666.83 (2dp)
Step-by-step explanation:
Mean = Total of all values / Number of Values
= [tex]\frac{17484+14978+13521+14500+18540+14978}{6}[/tex]
=[tex]\frac{94001}{6}[/tex]
= $15666.83 (2dp)