Note: Consider we need to find the possible number of ways to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Given:
Number of letters = 4
Number of letters selected without replacement = 2
To find:
The total possible number of ways.
Solution:
We have 4 letters A, B, C and D.
So, the number of ways to select first letter is 4.
After selecting a letter the number of remaining letters is 3.
So, the number of ways to select second letter is 3.
Now, the total number of ways to select 2 letters, without replacement, from the 4 letters A, B, C, and D is:
[tex]4\times 3=12[/tex]
Therefore, the required number of ways is 12.
if the simple interest eamed on $8000 for 9 years is $2,160. Then what is the interest rate?
Answer:
3%
Step-by-step explanation:
2160/9 years =240/year
240/8000=3%
A rug like a rectangle has a width of 3 m . The length of the rug is 2 m greater than its widith . What is the perimeter of the rug in meters
Answer:
16m
Step-by-step explanation:
Given data
Width = 3m
Lenght = 2+3= 5m
We know that the expression for perimeter is
P= 2L+2W
Substitute
P= 2*5+ 2*3
P= 10+6
P= 16 m
Hence the perimeter is 16m
whats the correct equation to solve for x
Answer:
12x - 29 + 4x + 1 = 180
Step-by-step explanation:
(12x - 29) and (4x + 1) are same- side interior angles and sum to 180° , then
12x - 29 + 4x + 1 = 180 ← is the equation to solve for x
16x - 28 = 180 ( add 28 to both sides )
16x = 208 ( divide both sides by 16 )
x = 13
pls help! its due today i would mark u brainliest! but pls it's an emergency do both problems!
Answer:
Step-by-step explanation:
The coordinate is (x,-y)
Based on the labels in the diahram of the human eye,the reader can conclude that
answer pls with a detailed explanation
Answer:
SA = 225 cm²
Step-by-step explanation:
The given pyramid dimensions are;
The length of the rectangular base of the pyramid, l = 12 cm
The width of the base, w = 6 cm
The area of the rectangular base, Aₐ = 12 cm × 6 cm = 72 cm²
The height of one of the triangles forming the side of the pyramid, h₁ = 8 cm
The base length of the above triangle, b₁ = 12 cm
The area of the above triangle, A₁ = (1/2)×12 cm × 8 cm = 48 cm²
The height of the other of the triangles forming the other side of the pyramid, h₂ = 9.5 cm
The base length of the above triangle, b₂ = 6 cm
The area of the above triangle, A = (1/2) × 9.5 cm × 6 cm = 28.5 cm²
The surface area of the pyramid, SA = Aₐ + 2 × A₁ + 2 × A₂
Therefore;
SA = 72 cm² + 2 × 48 cm² + 2 × 28.5 cm² = 225 cm²
SA = 225 cm²
1. Factory in Wichita
The cost per unit for Wichita’s factory is graphed as a piecewise function over the domain [0, 35000]. a. Write one or two sentences to describe the cost function for the Wichita factory. (5 points) b. Write the piecewise function for the cost per unit for production of units in the Wichita factory. That is, state the function (), where is the number of units produced. (10 points) c. What is the cost per unit for 35,000 units? (5 points) d. According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem? (5 points) e. Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory. (10 points) ___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___Overtime wages were required to produce at levels above 25,000 units.
2. Factory in Seattle Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, ()is the cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units
per day.
() = { 0.35 ≤ 8,000
0.75 8,000 < ≤ 20,000
0.83 − ( 200,000) 20,000 < ≤ 42,000
a. Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks. (5 points)
b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part. (5 points)
3. Factory in Omaha Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,000 units per day.
a. At what rate is the cost per unit decreasing for production levels above 12,000?(5 points) b. State the function for the domain over [12000, 38000]. (10 points)
c. What is the cost per unit at the production level of 19,000? (5 points)
Omaha’s city council approved a special growth incentive that decreases the company’s tax burden for production levels above last year’s average. Explain how this is reflected by the Cost Function for Omaha’s factory. 4. Analysis and Making Production Decisions You have now provided your company’s management with powerful tools that model the cost of
Answer:
According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem?
The per-unit cost will be as follows,
a) Wichita factory has cost function as more up to 25000 units and less for above 25000 units.
b) Piece wise function for cost per units for production of units can be written as
C(x) = cost per unit, will be as follows,
C(x)=1÷x,0 [tex]\leq[/tex] x [tex]\leq[/tex] 25000,
=0.8÷x, 25000 [tex]\leq[/tex] x [tex]\leq[/tex] 35000,
C) cost per unit for 35000 unit
=C(35000)= 0.8÷35000
= 2.28(10⁻⁵)
What is the cost per unit?Cost per unit is referred to the cost of goods sold or the cost of sales, is how much money a company spends on producing one unit of the product they sell.
Thus, the cost per unit will be 2.28(10⁻⁵).
Learn more about cost per unit here,
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hi! i’ll give brainliest please help
Answer:
deposition of eroded materials
Step-by-step explanation:
Answer:
now that i have the answer button the answer is B im not copying the other guys answer i have answered first in the ch-at so please don't come at me lol
Step-by-step explanation:
At Sam’s Warehouse, a member pays $25 a year for a membership, and then buys all products at the regular store prices. A non-member does not pay the membership fee, but does pay an additional 5% above the store prices. Write and solve a system of equations to represent this situation where is the store price and is the total amount paid.xy
Answer:
[tex]y = 25 + x[/tex] --- Members
[tex]y = 1.05x[/tex] --- Non-members
Step-by-step explanation:
Given
[tex]x \to store\ price[/tex]
[tex]y\to total\ amount[/tex]
Members
[tex]Membership =\$25[/tex]
Non-members
[tex]Rate = 5\%[/tex] increase
For the members, the equation is:
[tex]y = Membership + Store\ price[/tex]
[tex]y = 25 + x[/tex]
For non-members, the equation is:
[tex]y = Store\ price * (1 + Rate)[/tex]
[tex]y = x * (1 + 5\%)[/tex]
[tex]y = x * (1.05)[/tex]
[tex]y = 1.05x[/tex]
The answer please for my online class
Answer:
B. -500
Step-by-step explanation:
[tex] \dfrac{(2a^4)^2}{a^0a^5} = [/tex]
[tex] = \dfrac{2^2a^8}{a^5} [/tex]
[tex] = 4a^3 [/tex]
[tex] = 4(-5)^3 [/tex]
[tex] = 4(-125) [/tex]
[tex] = -500 [/tex]
The measure of an angle is 56°. What is the measure of its complementary angle?
Answer:
34 degree
Step-by-step explanation:
Point B is on line segment AC. Given AC = 20 and BC = 16, determine the length AB
Answer:
Answer is AB=AC-BC
20-16=4
pleaseee hellpp me!!
explain your thinking.
Answer:
Sometimes
Step-by-step explanation:
Only when x=2 then the output would be 0 for both
(Mr. Garduño got the dartboard pictured below for
Christmas. It is a regulation size dartboard with a
diameter of 18 inches. It is divided into 20 sectors
(slices). What is the length of the outside arc in each
sector?
Answer:
fart I have a great job and the people whose this movie I don't have to work on that is a great job with your family for a relationship but not in a Philippine language is
pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.
Answer:
[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]
= [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]
[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]
1 hour = 60 minutes
Therefore, 6 hours = 360 minutes
So , 360 minutes they spent doing mathematics.
The total cost of a gym membership, C, in Australian dollars (AUD), in John's Gym can be modelled by the function C = 65t+30, where t is the time in months. Calculate the gym membership cost over 12 month duration
Answer:
810 AUD
Step-by-step explanation:
t is time in months: you have to substitute with the number of months given from the question.
C=65t + 30 ==> substitute t with 12 since the question provided you the number of months.
--> C = 65(12) + 30 = 780 + 30 = 810
The difference between two positive numbers is 5 and the square of their sum is 169. find the two numbers.
Answer:
The two number are 9 and 13
Step-by-step explanation:
9-4=5
9+4=13 and 13*13is 169
The figure shows a rectangle ABCD.
E lies on AB such that ADE = 51"
and DCE = 68.
68
Find
(1) AÊD
Answer:
Answer:
The answer is 39°
Step-by-step explanation:
BAD = 90°
ADE = 51°
AED = 180° - BAD + ADE = 180° - 90° + 51°
= 39°
39° is the Final answer
#AnswerforTrees
Answer:
39° is the required answer.
Step-by-step explanation:
BAD = 90°
ADE = 51°
AED = 180° - (BAD + ADE)
→ 180° - (90° + 51°)
→ 180° - 141° = 39°
FG intersects HI at point E. What is the value of x, in degrees?
Answer:
6x-36=120
6x=120+36
6x=156
x=26
Answer:
X is equal to 26
Step-by-step explanation:
this is becasue 6x-36 is equal to 120 there for you can move the 36 over to make 156 so now you have 6x=156 now you just divide by 6 leaving you with x=26
hope this helps
A bag contains 2 green marbles and 5 red marbles. Two marbles are drawn at random as follows; one marble is drawn and not replaced. then the second marble is drawn.
What is the probability that the first marble is red and the second one is green
Answer:
.8
Step-by-step explanation:
Ahmad works 6 days daily 9:00am to 5:00pm at a local bank at a rate of $30 per hour.How much he earns daily from its job
Answer: $240
Step-by-step explanation:
Given
Ahmad earns 6 days daily from 9 am to 5 Pm at a rate of $30 per hour
The total no of hours he worked on a single day is 8 hours
So, the amount he earns on daily basis is
[tex]\Rightarrow 8\times 30\\\Rightarrow \$240[/tex]
List the members of the domain and range in the relation {(2, 8),(3, 27), (4, 64)}. *
Answer:
Step-by-step explanation:
Domain is indicative of the x values,while range is the y values. For our relation, the domain will be
D = {2, 3, 4} and the range will be
R = {8, 27, 64}
Camille goes to sleep at 8:30 pm and wakes up at 6:00 am. How long does Camille sleep?
Answer:
9. 5 Hours
Step-by-step explanation:
8:30 AM to 12:00 PM = 3.5 hours
12:00 PM to 6:00 PM = 6 hours
Total = 6 + 3.5 = 9.5 hours
Hope this answer helps you :)
Have a great day
Mark Brainliest
Which symbol correctly compares the two angle measures?
radians
60°
A. =
B. <
C. >
Answer:
Is B
Step-by-step explanation:
The quadrilateral shown is rotated 90 degrees clockwise about the origin. In which quadrant is the image of the quadrilateral located? *
Captionless Image
Answer:
Option (2). 1
Step-by-step explanation:
Coordinates of point A, B, C and D are,
A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).
Quadrilateral ABCD when rotated 90° clockwise about the origin,
Rule for the rotation of the vertices,
(x, y) → (y, -x)
Following the rule of rotation coordinates of the image points,
A(-4, 4) → A'(4, 4)
B(-2, 4) → B'(4, 2)
C(-2, 1) → C'(1, 2)
D(-4, 3) → D'(3, 4)
Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.
Option (2) is the correct option.
that is the answer if it's wrong then it must of been wrong question I gave answer to or I just got it wrong
please help (Determine the slope of the line. Show the work you did to find the slope.)
10 POINTS!
Answer:
slope of line is 3/5
Step-by-step explanation:
slope is the ratio of the change in the y-values over the change in the x-values
in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5
if you go from pt B to pt C, you rise by 6 and go to the right by 10
however, 6/10 can be reduced to 3/5
if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)
change in y-values is 5-2 or 3
change in x-values is 5-0 or 5
(5-2)/(5-0) = 3/5
123
30°
у
Find the values of x and y. Write your answers in simplest form.
x =
y=
Answer:
[tex]y=6\sqrt{3}[/tex]
[tex]x=18[/tex]
Step-by-step explanation:
[tex]Sin30=\frac{9}{12\sqrt{3} }[/tex]
[tex]1/2=y/12\sqrt{3}[/tex]
[tex]y=6\sqrt{3}[/tex]
[tex]tan30=y/x[/tex]
[tex]x=y/tan30=x=\frac{6\sqrt{3} }{1/\sqrt{3} }[/tex]
[tex]x=18[/tex]
------------------------
hope it helps...
have a great day!
Please help with this, will give brainliest.
Explanation:
The negative exponent means we apply the reciprocal to get the exponent to be positive.
The rule is (a/b)^(-c) = (b/a)^c
That means (1/4)^(-3) = (4/1)^3 = 64 which is a whole number.
Something like 2^(-3) = 1/(2^3) = 1/8 = 0.125 isn't a whole number, so we can cross that off the list. The same goes for choices A and C as well.
Answer:
B
Step-by-step explanation:
1/1 ÷ (1/4)³ = 1 x 4³ = 64
Find the arc length of the semicircle
Answer:
Arc length of the semicircle is 12.57 cm.
Step-by-step explanation:
From the given picture,
Measure of diameter = 8 units
Radius of the semicircle = [tex]\frac{\text{Diameter}}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 units
Since, circumference of a semicircle is given by the expression,
C = πr
Here, r = radius of the semicircle
Circumference of the given semicircle = π(4)
= 4π
= 12.57 cm
Therefore, arc length of the semicircle is 12.57 cm.
Answer:
Its 16 pi
Step-by-step explanation:
what is the soultion 3-6x = 9-6x
Answer:
x=-6
Step-by-step explanation:
3-9= -6x+6x
x=-6
ans=-6