Answers
Answer:
35C12 = 834451800
Step-by-step explanation:
.............
The solution of the given expression is 3.33 x 10⁹.
What is the combination?The arrangement of the different things or numbers in a number of ways is called the combination.
The solution will be:-
[tex]^{35}{C_{12}=\dfrac{35!}{12!\ 23!}\\\\\\\\\\\\\\^\\35}{C_{12}=\dfrac{35\times 34\times 33\times32\times 31\times 30\times 29\times 28\times 27\times 26\times 25\times 24}{12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times }\\\\\\[/tex]
[tex]^{35}{C_{12}=3.33\times 10^9[/tex]
Therefore the solution to the given expression will be [tex]^{35}{C_{12}=3.33\times 10^9[/tex]
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Related Questions
Luke is driving from his house to the store. After driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. So, he turns around and drives all the way back to his house at the same speed. The equation below models Luke's distance, in miles, from home as he drives for t minutes. Using the given equation, match the number of minutes since Luke started driving from his house to his distance from the house. 12 minutes 27 minutes 31 minutes 7 minutes 10.4 miles on his return trip arrowRight 5.6 miles on his trip to the restaurant arrowRight 9.6 miles his trip to the restaurant arrowRight 7.2 miles on his return trip arrowRight
Answers
Answer:
The number of minutes since Luke started driving from his house to his distance from the house is 40 minutes. :)
Step-by-step explanation:
Last year, Deshaun had $10,000 to invest. He invested some of it in an account that paid 8% simple interest per year, and
he invested the rest in an account that paid 6% simple interest per year. After one year, he received a total of $660 in
Interest. How much did he invest in each account?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answers
Answer:
4
Step-by-step explanation:
Is this right? If not, what is it? PLEASE
Answers
Answer:
It is correct.
Step-by-step explanation:
Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
Answers
step-by-step explanation:
7/200 of them were defective
7/200 = 0.035
193/200 of them were approved
193/200 = 0.965
y being the number of boxes approved
x being to amount of time
y = 0.965x - 0.035
Consider A TUV in the figure below.
The perpendicular bisectors of its sides are AD, BD, and CD. They meet at a single point D.
(In other words, D is the circumcenter of A TUV.)
Suppose CD= 36, BV=58, and UD = 60.
Find UV, VD, and TC.
Note that the figure is not drawn to scale.
U
V
UV - 10
D
VD = 0
TC -
Х
?

Answers
Answer:
Step-by-step explanation:
8
Can i get some help solving this problem please. 2x=x-10
Answers
Answer:
x=3.33
Step-by-step explanation:
2x=x-10
2x+x=10
3x=10
x= 10/3
x= 3.33
Solve for each unknown angle measure...
Please help! This a a test btw so please give me the right answer!
Answers
Answer:
because l1//l2 => z + 65 = 180
y + 65 = 90
x + 65 = 90
<=> z = 115
y = 25
x = 25
Answer:
x=25
y=25
z=115
Step-by-step explanation:
x congruent to y
180-90-65=25
180-65=115
Please help will give brainlyist
Answers
Since the auditorium can hold 600 and the student body will be divide by four parts
The answer is
x ≤ 2400
What is the sum of the whole number and the improper fraction?
4+7/4 A. 4 3/4 B. 5 3/7 C. 5 3/4 D. 4 3/7
Answers
Answer:
C. 5 3/4
Step-by-step explanation:
You have to write all numerators above the common denominator
4+7/4=16+7/4
Add the numbers together
16+7/4=23/4
Simplify the fraction
23/4=5 3/4
A line segment AB has midpoint (2, 5). If the coordinates of A are (-1, -3), what are the coordinates of B?
Answers
Answer:
B (5; 13)
Step-by-step explanation:
Midpoint (x) = (-1 + bx)/2 = 2
Bx - 1 = 4
Bx = 5
Midpoint (y) = (-3 + By)/2 = 5
By - 3 = 10
By = 13
B (5; 13)
Find the area of the following figure and write your result in the empty box.
Answers
Answer:
Area = 406
Step-by-step explanation:
First things first: Divide the shape
Here is how I did it:
21 x 16
14 x 5
Now solve:
21 x 16 = 336
14 x 5 = 70
Now add:
336 + 70 = 406
So the area is 406
What is the first step in evaluating the expression below?
12 + 6 - 4 X (12-5)
Add 12 + 6
O Multiply 4 x 12
Subtract 5 from 12
O Multiply 4x7
Answers
questionon on picture
Answers
Answer:
yes this option is correct
Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000 pairs in month 3; 9000 pairs in month 4; 6000 pairs in month 5; 5000 pairs in month 6. It takes a shoemaker 20 minutes to produce a pair of shoes. Each shoemaker works 150 hours per month plus up to 40 hours per month of overtime. A shoemaker is paid a regular salary of $2000 per month plus $20 per hour for overtime. At the beginning of each month, Shoemakers can either hire or fire workers. It costs the company $1000 to hire a worker and $1200 to fire a worker. The monthly holding cost per pair of shoes is 5% of the cost of producing a pair of shoes with regular-time labor. The raw materials in a pair of shoes cost $10. At the beginning of month 1, Shoemakers has 15 workers and 500 pairs of shoes in inventory. Determine how to minimize the cost of meeting (on time) the demands of the next six months.
Answers
Answer:
5,000+6,000+7,000+,9,000+6,000+5,000= 38,000
Step-by-step explanation:
The minimum cost of meeting the demands of the next six months is $7475.00.
Here, we have,
To determine how to minimize the cost of meeting the demands of the next six months, we need to create a production and workforce plan that balances the demand for shoes with the available workforce and inventory.
Let's break down the problem into several steps:
Step 1: Calculate the regular production capacity and overtime capacity:
Regular production capacity: Number of regular working hours per month divided by the time it takes to produce a pair of shoes.
Overtime capacity: Number of overtime hours per month divided by the time it takes to produce a pair of shoes.
Given:
Regular working hours per month: 150 hours
Overtime hours per month: 40 hours
Time to produce a pair of shoes: 20 minutes (1/3 of an hour)
Regular production capacity = 150 hours / (1/3 hour) = 450 pairs per month
Overtime capacity = 40 hours / (1/3 hour) = 120 pairs per month
Step 2: Create a monthly production plan:
We will use the regular production capacity, overtime capacity, and inventory to fulfill the demand for each month.
Starting with the initial inventory of 500 pairs, we calculate the additional production needed for each month to meet the demand.
Month 1:
Demand: 5000 pairs
Additional production needed: 5000 - 500 = 4500 pairs
Month 2:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500) = 1000 pairs
Month 3:
Demand: 7000 pairs
Additional production needed: 7000 - (500 + 4500 + 1000) = 1000 pairs
Month 4:
Demand: 9000 pairs
Additional production needed: 9000 - (500 + 4500 + 1000 + 1000) = 2000 pairs
Month 5:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Month 6:
Demand: 5000 pairs
Additional production needed: 5000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Step 3: Determine the hiring and firing decisions:
To minimize costs, we need to hire or fire workers based on the additional production needed for each month.
Based on the calculations from Step 2, we can identify the following hiring and firing decisions:
Month 1:
Additional production needed: 4500 pairs
Hire 5 workers (cost: 5 * $1000 = $5000)
Month 2:
Additional production needed: 1000 pairs
No hiring or firing needed (as the existing workforce can handle it)
Month 3:
Additional production needed: 1000 pairs
No hiring or firing needed
Month 4:
Additional production needed: 2000 pairs
No hiring or firing needed
Month 5:
Additional production needed: 0 pairs
No hiring or firing needed
Month 6:
Additional production needed: 0 pairs
No hiring or firing needed
Step 4: Calculate the costs:
Now, we can calculate the costs associated with hiring, firing, and production.
Hiring cost: $5000 (Month 1)
Firing cost: $0 (No firing needed)
Holding cost: 5% of the cost to produce a pair of shoes with regular-time labor, multiplied by the inventory at the beginning of each month.
Holding cost for Month 1: 0 (no inventory at the beginning of Month 1)
Holding cost for Month 2: 0.05 * ($2000 + 4500 * $10) = $237.50
Holding cost for Month 3: 0.05 * ($2000 + 5500 * $10) = $297.50
Holding cost for Month 4: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 5: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 6: 0.05 * ($2000 + 7500 * $10) = $475.00
Total cost:
Total cost = Hiring cost + Firing cost + Holding cost
= $5000 + $0 + ($237.50 + $297.50 + $475.00 + $475.00 + $475.00)
= $7475.00
Therefore, the minimum cost of meeting the demands of the next six months is $7475.00.
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Factorise a^2-b^2 but it has no indecies
Answers
Answer:
(a+b)(a-b)
Step-by-step explanation:
a varies inversely with b. if a=9 when b=2, then find when b=6
Answers
Answer:
a[tex] \alpha [/tex]
1/b
a=k/b
k=a×b
where a=9
b=2
k=?
k=9×2
k=18
where a=?
b=6
k=18
a=k/b
a=18/6
a=3
What is the value of x???
Answers
Answer:
x=63
Step-by-step explanation:
The degree measure of a line is 180 degrees.
180 degrees is made up of 117 and x
117+x=180
x=63
Minutes No. of Homework
Problems
2 or Less
3-4
5-6
7-8
9 or more 8
4
2
0
3
What is the number of homework problems that took less than 5 minutes in the given table?
A.
4
B.
14
C.
12
D.
8
Answers
1. What is the surface area of the composite figure? Show ALL your work.
2. What is the volume of the composite figure? Show ALL your work.
Answers
Answer:
1. 144.4 m²
2. 120 m³
Step-by-step explanation:
The figure is composed of a triangular prism and a rectangular prism
1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)
✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L
b = 5 m
h = 2 m
s1 = 3.2 m
s2 = 3.2 m
s3 = 5 m
L = 6 m
Plug in the values
Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6
= 10 + (11.4)*6
= 78.4 m²
✔️Area of rectangular prism = 2(LW + LH + WH)
L = 6 m
W = 5 m
H = 3 m
Plug in the values
Area of rectangular prism = 2(6*5 + 6*3 + 5*3)
= 126 m²
✔️Area of the face joining both figures = L*W
L = 6 m
W = 5 m
Area = 6*5 = 30 m²
✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)
= 48.4 + 96
= 144.4 m²
2. Volume of composite figure = volume of triangular prism + volume of rectangular prism
= ½*a*c*h + L*W*H
a = 2 m
c = 5 m
h = 6 m
L = 6 m
W = 5 m
H = 3 m
Plug in the values
Volume = ½*2*5*6 + 6*5*3
Volume = 30 + 90 = 120 m³
solve the inequality please
Answers
Answer:
The solution is 4 >/= -21
4 is greater than or equal to negative 21
Step-by-step explanation:
7x + 4 >/= 7(x - 3)
We'll start by distributing the y7 to the items in parentheses
7x + 4 >/= 7x - 21
Subtract 7x from both sides
4 >/= -21
Which of the following is not true? Select one: The data is symmetrical. The median is 1.25. The data is skewed right The spread of the data distribution is from 0 to 2.5
Answers
The braking ability of two types of automobiles was compared. Random samples of 64 auto mobiles were tested for each type. The recorded measurement was the distance required to stop when the brakes were applied at 40 miles per hour. The computed sample means and variances were as follows:
y¯¯¯1=118,y¯¯¯2=109 s21=102,s22=87
. Do the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles? Give the attained significance level.
Answers
Answer:
The data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
Step-by-step explanation:
Formulate the null and alternate hypothesis as
H0: u1= u2 against the claim Ha: u1≠ u2
The data given is
y`1=118, y`2=109 s21=102, s22=87
The test statistic used is t= y1`- y2`/ Sp√1/n1+ 1/n2
n1= n2= 64
And
Sp² = (n1-1) s12 + (n2-1) s22 / n1+n2-2
Sp² = 63*102+6*87/64+64-2
Sp² = 94.5
Sp= 9.7211
Putting the values in the test statistic
t= 118-108/9.7211√1/64+1/64
t= 5.237
Now finding the value of t at ∝=0.01 for two tailed test
t( 126,0.005)= ±2.6154
At alpha= 0.01 the null hypothesis is rejected.
Now finding the value of t at ∝=0.05 for two tailed test
t( 126,0.025)= ±1.979
Even at alpha= 0.05 the null hypothesis is rejected.
Also at alpha= 0.05 the null hypothesis is rejected because the critical value is ±1.657
Hence it is concluded that the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
Find the area in square inches. <3
Answers
1/2 x b x h
So we know the height and base is 9 and 12:
1/2 x 9 x 12
Multiply the newly made equation and you get:
54
Have an awesome day <3
please help asap !!!!
Answers
Answer:
P = 3/8
q = 1/2
Step-by-step explanation:
(3/8)^3/8 × (3/8)^1/8 = P^q
Because of the same base, pick one of the bases
Then, add the powers
(3/8)^3/8 × (3/8)^1/8 = P^q
= (3/8)^3/8 + 1/8
= (3/8)^(3+1)/8
= (3/8)^4/8
= (3/8)^1/2
Therefore,
P^q = (3/8)^1/2
Where,
P = 3/8
q = 1/2
P^q = (3/8)^1/2
= √(3/8)
(08.06 LC)
Identify the factors of x2 + 16y? (5 points)
O (x + 4y)(x + 4y)
O (x + 4y)(x - 4y)
Prime
O (x - 4y)(x - 4y)
Answers
Answer:
Prime
Step-by-step explanation:
2(x?)+16y
O(x+4y)(x+4y)
x²+4xy+4xy+16y²
x²+8xy+16y²
O(x+4y)(x-4y)
x²-4xy+4xy-16y²
x²-16y
Prime
O(x-4y)(x-4y)
x²-4xy-4xy+16y²
x²-8xy+16y²
All are incorrect except prime, so the answer is prime.
---
hope it helps
A circle has a diameter of 12cm. Find the arc length if the central angle is 37°.
Round to the nearest tenth.
Answers
Answer:
40
Step-by-step explanation:
37 is greater than five and the next number with a zero would be 40
What's the first step in order to solve the exponential equation?
4-^5x = 21
Divide both sides by 21
O Convert the equation to a logarithm with a base of 21
O Divide both sides by 4
O Convert the equation to a logarithm with a base of 4
O The equation is already solved.
Answers
Answer:
I think it's A but I'm not sure
Find the equation of the line below.
10
(4,8)
(1/2)
H10
10
Answers
Answer:
y=1/2x
Step-by-step explanation:
Find the y-int (0) and get the slope : 1/2.
Answer:
Letter B .................
What is the value of y?
please hellpp!!!
Answers
Answer:
C=54°
Step-by-step explanation:
If u add each angle of a triangle should ways add up to 180°
A cylinder has a base area of 64π m2. Its height is equal to twice the radius. Identify the volume of the cylinder to the nearest tenth.
V = 6434.0 m3
V = 2804.2 m3
V = 1402.1 m3
V = 3217.0 m3
Answers
Answer:
3215 .36 m³ is the required volume.
Step-by-step explanation:
Base area of Cylinder = 64π m²
Height of cylinder is equal to twice the radius .
As we know that ,
★Base Area of Cylinder = πr²
where,
π is taken as 22/7 or 3.14
r is the radius of cylinder
Substitute the value we get
↝ 64 π = πr²
↝ 64 = r²
↝ √64 = r
↝ 8 = r
↝ r = 8 m
Now, it is given that height is equal to twice of radius
Therefore ,
height = 2r = 2×8 = 16 m
★Volume of Cylinder = πr²h
substitute the value we get
↝ volume of Cylinder = 3.14 × 8² × 16
↝volume of Cylinder = 3.14 × 64 × 16
↝volume of Cylinder = 3215 .36 m²
Hence, the required volume of cylinder is 3215 .36 m³.
Answer:
3217.0
Step-by-step explanation: