Answer:
The answer is D. Translate vertex A to Vertex D, and then rotate triangleABC around point A to align the sides and angles
Translating vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles will bring about a rigid transformation, the correct answer is D.
What are Rigid transformation?The transformations that preserves the Euclidean distance between points. This could be as a result of the any transformation.
Triangle ABC and DEF is shown,
Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.
To map ΔABC to ΔDEF , the vertex A will be translated to vertex D, and then the triangle is rotated around point A.
This will maintain the distance between the points when vertex A to D.
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Which answer describes the pattern in this sequence?
2, 1, 12, 14, ...
multiply by 2
subtract 1
add 12
multiply by 12
The annual demand for a product is 17,200 units. The weekly demand is 331 units with a standard deviation of 85 units. The cost to place an order is $31.50, and the time from ordering to receipt is six weeks. The annual inventory carrying cost is $0.10 per unit. a. Find the reorder point necessary to provide a 95 percent service probability. (Round your answer to the nearest whole number.)
Reorder point
b. Suppose the production manager is asked to reduce the safety stock of this item by 60 percent. If she does so, what will the new service probability be? (Round your answer to 3 decimal places.)
Service probability
Answer:
R = 2414 units
0.794
Step-by-step explanation:
Given:
Weekly demand, D = 331 units
Lead time (L)= 6 weeks
Standard Deviation (SD) = 85 units
The reorder point is calculated using the relation :
R = D*L + z*(SDw)
SDw = the standard deviation with lead time of 6 weeks ; √6 * 85 = 208.21
z = NORMSINV(0.98) = 2.05
R = (331 * 6) + (2.05 * 208.21)
R = 1986 + 428.122
R = 2414.122
R = 2414 units
The Safety stock, SS
SS = z * SDw
SS = 2.05 * 208.21
SS = 426.8305 units
60% reduction :
426.8305 * (1 - 60%)
= 170.7322
= 171 units
The new service probability ;
SS = z * SDw
171 = z * 208.21
z = 171 / 208.21
z = 0.82
P(Z < 1.02) = 0.7938 = 0.794 = 79.4%
Simplify the expression.
4(11 + 7) ÷ (7 – 5)
Answer:
36
Step-by-step explanation:
4(11 + 7) ÷ (7 – 5)
4 * 18 ÷ 2
=36
Use the substitution method to solve the system of equations. Choose the correct ordered pair. 4(x + 4) = 8(y + 2); 18y - 22 = 3x + 2
x = 30
y = 2
Get the explanation from the image I have shared.
Hope it helps you
(Y = 179x
(Y = 105x + 2046
Graph pls
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does a nice job of graphing these equations.
__
The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.
What is sin(C)? Please explain.
Answer:
sin(C) = opposite side / hypotenuse
= 15/17
Answer:
[tex] \small \sf \: Sin ( C ) = \blue{ \frac{15}{17}} \\ [/tex]
Step-by-step explanation:
[tex] \small \sf \: Sin ( C ) = \frac {Opposite \: side }{Hypotenuse} \\ [/tex]
Where we have given :-
Opposite side = 15Hypotenuse = 17substitute the values, we get
[tex] \small \sf \: Sin ( C ) = \blue{ \frac{15}{17}} \\ [/tex]
Help pls ASAP this need to be done
D
Because slope of section D is greater than the others and hence speed is highest.
To solve the equation 6x + 3 = 9 for x, what operations must be
performed on both sides of the equation in order to isolate the variable
x?
Answer:
Subtraction, and then division.
Step-by-step explanation:
We would subtract 3 on each side to undo the '3', and then divide by 6 on both sides to isolate 'x'.
[tex]6x+3 = 9\\\\6x + 3 - 3 = 9 - 3\\\\ 6x = 6\\\\\frac{6x=6}{6}\\\\\boxed{x=1}[/tex]
Hope this helps.
To solve the equation 6x + 3 = 9 for x, the operations that must be performed on both sides of the equation in order to isolate the variable x are subtraction and then division.
What is a linear equation?A linear equation in one variable has the standard form Px + Q = 0. In this equation, x is a variable, P is a coefficient, and Q is constant.
How to solve this problem?Given that 6x + 3 = 9.
First, we have to separate variable and constants. So, we have to subtract 3 from both sides.
6x + 3 - 3 = 9 - 3
i.e. 6x = 6
Now, to solve this equation, we use division.
x = 6/6 = 1
i.e. x = 1
Therefore, to solve the equation 6x + 3 = 9 for x, the operations that must be performed on both sides of the equation in order to isolate the variable x are subtraction and then division.
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100 + 50
i'll date you if you answer this;)
Answer:
150
Step-by-step explanation:
100 + 50 = 150
ez
Jerome's game score changed by
20 points because of penalties that
were worth –5 points each. How
many times was Jerome penalized?
Answer:
Jerome was penalized 4 times.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
Each penalty changes her score by 5 points. Her score was changed by 20 points. How many penalties?
1 penalty - 5 points
x penalties - 20 points
[tex]5x = 20[/tex]
[tex]x = \frac{20}{5}[/tex]
[tex]x = 4[/tex]
Jerome was penalized 4 times.
Tìm căn bậc hai của số phức z=1+i√3
Write z in polar form:
z = 1 + √3 i = 2 exp(i π/3)
Taking the square root gives two possible complex numbers,
√z = √2 exp(i (π/3 + 2kπ)/2)
with k = 0 and k = 1, so that
√z = √2 exp(i π/6) = √(3/2) + √(1/2) i
and
√z = √2 exp(i 7π/6) = -√(3/2) - √(1/2) i
Solve the system of equations??
Answer:2921
Step-by-step explanation: Add the two equations together to get (x+y)+(x-y)=3500+2342. Simplify and get 2x=5842. Divide 5842 by 2 and get 2921.
Which of the following correctly describes the symmetry of the cubic parent
function?
^
A. It is symmetric about the x-axis.
B. It is symmetric about the y-axis.
C. It is symmetric about the origin.
D. It is not symmetric about any point or line.
The statement that correctly describes the symmetry of the cubic parent function is 'It is symmetric about the origin.'
The correct answer is option (c)
What is the symmetry of the function about the X-axis?"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (a, -b) "
What is the symmetry of the function about the Y-axis?"The graph of the function is said to be symmetric about Y-axis if whenever (a, b) is on the graph then so is (-a, b) "
What is the symmetry of the function about the origin?"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (-a, -b) "
For given question,
The parent cubic function is [tex]f(x)=x^3[/tex]
The graph of the function [tex]f(x)=x^3[/tex] is as shown below.
From graph we can observe that, point (x, y) as well as (-x, -y) is on the graph.
This means, the graph of the function [tex]f(x)=x^3[/tex] is symmetric about the origin.
Therefore, the statement that correctly describes the symmetry of the cubic parent function is 'It is symmetric about the origin.'
The correct answer is option (c)
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A company reports the following income statement and balance sheet information for the current year:
Net income $216,060
Interest expense 38,130
Average total assets 2,290,000
Determine the return on total assets. If required, round the answer to one decimal place.
Answer:
9.4
Step-by-step explanation:
The net income for theis company is $216,060
The average total assets is 2,290,000
Therefore the return on total assets is
= 216,060/2,290,000
= 0.0943×100
=9.4
As a person travels on a Ferris wheel their height above the ground rises and falls. If you plot the height of the person above the ground on a graph, the graph will rise and fall, similar to the graph of sine or cosine. What is another situation where a real-world setting models the periodic graph of sine or cosine? Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand.
Answer:
(First of all its 20 points not 40 but any ways) A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically.
**
let t=seconds after wheel starts to rotate.
let h=meters above ground after wheel starts to rotate
..
The formula I got: h(t)=20sin(πt/18)+22
This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise.
..
After 15 seconds:
h=20sin(15π/18)+22
=20sin(5π/6)+22
=20*(1/2)+22
=32 m
..
When h=38 m
38=20sin(πt/18)+22
38-22=20sin(πt/18)
20sin(πt/18)=16
sin(πt/18)=16/20=4/5=.8
arcsin(.8)=0.927
πt/18=0.927 (radians)
t=(.927*18)/π≈5.31
..
height above the ground after 15 seconds≈38 m
seconds elapsed when height is 38 m above ground≈5.3 seconds
I have $25 all in nickels and dimes. There are twice as many Nickles as dimes. How many of each are there?
I need to show an equation that gives me the answer
Answer:
N=250
Step-by-step explanation:
"twice as many nickels as dimes" means N =2D [eq1]
"collection of nickels and dimes is worth $25" means
5N + 10D = 2500 [eq2]
(To avoid using decimal points, PLZ express everything in cents.)
Substitution (substitute N from eq1 into eq2]:
5(2D) + 10D = 2500
10D + 10D = 2500
20D = 2500
D = 125
N=2D [eq1 again]
N=2(125)
N=250
Check:
Is 5(250) + 10(125) = 2500 ?
1250 + 1250 = 2500 ?
2500 = 2500 ?yes
-6c< -12
what will the answear be
Answer:c>2
Step-by-step explanation:
-6c (divide) (-6) > -12 (divide) (-6)
c>-12 (divide) (-6)
c>12 (divide) 6
c> 2
One number is 5 times as large as another. The sum of their reciprocals is
[tex] \frac{36}{5} [/tex]
. Find the two numbers.
Answer:
[tex]The \ two \ numbers \ are \ \frac{1}{6} \ and \ \frac{5}{6}[/tex]
Step-by-step explanation:
Let the two numbers be = x , y
Given:
One of the number is 5 times other number, that is y = 5x ----- ( 1 )
The sum of their reciprocals is 36/5 , that is
[tex]\frac{1}{x} + \frac{1}{y} = \frac{36}{5}[/tex] ------ ( 2 )
Substitute y in the second equation.
[tex]\frac{1}{x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{1 \times 5}{5 \times x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{5}{5x} + \frac{1}{5x} = \frac{36}{5}\\\\\frac{5+1}{5x} = \frac{36}{5}\\\\\frac{6}{5x} =\frac{36}{5}\\\\36 \times 5x = 6 \times 5\\\\x = \frac{6 \times 5}{36 \times 5} = \frac{1}{6}[/tex]
Substitute x in first equation.
[tex]y = 5x\\\\y = 5 \times \frac{1}{6} \\\\y = \frac{5}{6}[/tex]
how do you find contribution margin %?
Answer:
Contribution margin = Revenue − Variable costs
Step-by-Step Explanation
For example, if the price of your product is $20 and the unit variable cost is $4, then the unit contribution margin is $16.
The first step in doing the calculation is to take a traditional income statement and recategorize all costs as fixed or variable. This is not as straightforward as it sounds, because it’s not always clear which costs fall into each category.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below. Types of restaurants (fast food, organic food, sea food, etc.)A. The ratio level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is a natural starting point. B. The nominal level of measurement is most appropriate because the data cannot be ordered. C. The interval level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting point. D. The ordinal level of measurement is most appropriate because the data can be ordered, but differences (obtained by subtraction) cannot be found or are meaningless.
Answer:
B. The nominal level of measurement is most appropriate because data cannot be ordered.
Step-by-step explanation:
Nominal scale is used when there is no specific order scale and data can be arranged according to name. Ordinal scale requires variables to be arranged in specific order. For fast food restaurant the best scale used is nominal scale as variables can be arranged according to their name without specific order.
You earn $36 for washing 6 cars. How much do you earn for washing 3 cars?
Answer:
18$
Step-by-step explanation:
36 divided by 6 is 6 dollars. this means you earn 6 dollars per car. multiply that by 3 cars and you get 18$.
Answer:
You earn $18 for washing 3 cars.
$36➗ 6= $6
$6x3= $18
Ava was traveling in her car at 38 miles per hour (miles/h). Use the fact that 1 km is approximately equal to 0.6214 miles to convert this speed to kilometers per hour (km/h).
Answer:
Step-by-step explanation:
o.6214 miles= 1km
1 mile=1/0.6214 =(10000)/6214 km
38 miles=(10000)/6214 ×38 ≈61.1 km/hr
Mathematics text book for class vi has 320 pages the chapter symmetry runs from page 261 to 272. The ratio of the number of pages of this chapter to the total number of pages of the book
Answer:
Step-by-step explanation:
No
Complete parts (a) through (c) below
a. A storage pod has a rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor. Find the area of the floor and the volume of the pod.
Alap pool has a length of 28 yards, a width of 20 yards, and a depth of 3 yards Find the poof's surface area (the water surface) and the total volume of water that the pool holds Raised flower bed is 30 feet long. 5 feet wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds
The area of the floor of the pod is (Type an integer or a decimal)
The volume of the pod is (Type an integer or a decimal
b. The pool's surface area is (Type an integer or a decimal)
The total volume of the water that the pool holds (Type an integer or a decimal)
c. The area of the flower bed is (Type an integer or a decimal)
The volume of the soil that the flower bed holds is (Type an integer or a decimal)
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Pool dimension :
rectangular floor that measures 22 feet by 13 feet and a flat ceiling that is 7 feet above the floor
Floor area = length * width
Floor area = 22 * 13 = 286 ft²
Volume of the pod :
Floor area * height = 286ft² * 7ft = 2002 ft³
2.)
Surface area = length * width
Surface area = 28 * 20 = 560 ft²
Volume of the pool :
Surface area * deptb = 560ft² * 7ft = 2002 ft³
3.)
Area of flower bed = length * width
Floor area = 30 * 5 = 150 ft²
Volume of the soil flowerbed holds :
Depth = 1.1 m
Area of flowerbed * depth =150ft² * 1.2ft = 180 ft³
what is a bank statement
Answer:
A statement that shows current balance of an account and all transactions that occurred on that account since the last statement.
Transactions such as deposits, withdrawals, checks written, debt card uses...
There are other examples of bank statements for things like home loans, business loans, and investments.
A, B, and C are collinear points:
C is between A and B.
If AC = 2x + 1, CB = 3x - 1, and AB = 35, findX.
Answer:
X = 7
Step-by-step explanation:
If you vertically compress the square root parent function by a factor of 1/3, what is the equation of the new function?
9514 1404 393
Answer:
y = (1/3)√x
Step-by-step explanation:
Vertical scaling of a function is accomplished by multiplying the function by the scale factor. If you want to scale the square root function by a factor of 1/3, then the scaled function is ...
y = (1/3)√x
A piece of office equipment purchased for dollar-sign 67,500 depreciates in value each year. Suppose that each year the value of the equipment is StartFraction 1 Over 15 EndFraction less than its value the preceding year.
Calculate the value of the equipment after 2 years.
The value of the equipment after 2 years is dollar-sign
9514 1404 393
Answer:
$58,800
Step-by-step explanation:
Each year, the value is multiplied by 1-1/15 = 14/15. Then after 2 years, the initial value has been multiplied by (14/15)^2 = 196/225. The value after 2 years is ...
$67,500×196/225 = $58,800
When is 9+10 really equal to 21
Answer:
it's equal to 21 when I say it's equal to 21
Find the missing side or angle.
Round to the nearest tenth.
A=60°
b=50
C=48
a=[?]
The missing side 'a' of the triangle ABC is 96.80 units.
What is a triangle?
A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
Let ABC be the triangle and a,b,c be the respective sides of the triangle.
The diagram below shows that the triangle with their dimensions.
The dimensions are
A=60°, b=50, c=48.
The two sides and one angle of the triangle are given.
The missing side a can be found by using the law of cosines,
[tex]a=\sqrt{b^{2}+c^{2} -2abcosA }[/tex]
Substitute the above values,
⇒ [tex]a=\sqrt{50^{2}+48^{2} -2(50)(48)cos60 }[/tex]
⇒ [tex]a=\sqrt{2500+2304-4800(-0.9524)}[/tex]
⇒ [tex]a=\sqrt{2500+2304+4571.58}[/tex]
⇒ [tex]a=\sqrt{9375.58}[/tex]
⇒ [tex]a=96.82[/tex] ≈ [tex]96.80[/tex]
Hence we can conclude that the missing side 'a' of the triangle ABC is 96.80 units.
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