Answer:
Total number of ways in which first, second and third prizes will be awarded = 560
Step-by-step explanation:
As given,
There are 16 players participated in a tennis tournament.
and 3 players will be awarded for first, second, and third prize.
As we know,
ⁿCₓ = [tex]\frac{n!}{x! (n-x)!}[/tex]
n = the number of items.
x = how many items are taken at a time.
As given, n = 16 , x = 3
⇒¹⁶C₃ = [tex]\frac{16!}{3! (16-3)!} = \frac{16!}{3! (13)!} = \frac{16.15.14.13!}{3! (13)!} = \frac{16.15.14}{3!} = \frac{16.15.14}{3.2.1} = \frac{3360}{6} = 560[/tex]
∴ we get
Total number of ways in which first, second and third prizes will be awarded = 560
PLEASE HELP!! I HAVE 30 MINS
#1) 9a+2-6a
#2) -p^6
#3) 5n^2
#4) -10n^4+9-7n^5+n^6
Answer & Step-by-step explanation:
#1) 3a+2
#2) Please tell me what you need to find for this one in the comments
#3) Please tell me what you need to find for this one in the comments
#4) n^6−7n^5−10n^4+9
Hope this helps ;)
Identify the point from the equation y + 5 = 3(x -2)
King Soopers has two different sizes of sport drinks. Sigi wanted to make sure that he got the size with the better price. There was one that was 35 Fl Oz. for $1.29 and the other was 24 Fl Oz. for $1.20. Which size is the better buy?
I will give you brainliest
What are the next 3 terms in the sequence 3,6,9,12?
Answer:
15,18,21
Step-by-step explanation:
Answer:
15 18 21
Step-by-step explanation:
its skskskskskksksskskkssksksksk
PLEASE HELP GEOMETRY
Answer:
Step-by-step explanation:
[tex]\frac{6}{18+6}= \frac{x}{8 }[/tex]
24x=48
x=2
whats warmer -3 or -4 degree celcius
lily bought a hockey stick priced at $75 but it was on sale for 25% after 10% sales tax,what is the total cost? I NEED HELPPPPPPPPPPPPPPP
mary ann is building a fence around the outer edge of a rectangular garden plot that measures 25 feet by 45 feet. She will set post 5 feet apart. How many post will she need?
Answer:
28
Step-by-step explanation:
find perimeter (25 + 25 + 45 + 45 = 140)
divide your perimeter by 5 (140 ÷ 5 = 28)
therefore you need 28 fence posts
The expression (x - 0.35x) represents 35% off the cost of item x. How is this equivalent to multiplying x by 0.65?
Answer:
It is equivalent.
Step-by-step explanation:
(x-0.35x) is (Total price-0.35 × the original price)=0.65×
what is the distant between (3,24) and (7,56)
Solve the following equation for x.
10 = 2 – 4(ar – 3)
OA. -
a
OB.
Oc.
OD.
5
a
Answer:
Options C. -5/a
x =1/a is the solution for the given equation. Option D is correct.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Let's simplify the equation first:
10 = 2 - 4(ax - 3)
10 = 2 - 4ax + 12 (distribute the negative 4)
10 = -4ax + 14 (combine like terms)
Now we can isolate the variable x by subtracting 14 from both sides and then dividing by -4:
10 - 14 = -4ax
-4 = -4ax
x = 1/a
Therefore, the solution to the equation is x = 1/a.
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The ratio of sheep to the total number of animals on a local farm is 2:5.
Which of the following is the percent of animals on the farm that are
sheep?
29%
60%
40%
20%
*says the correct answer is 29%
Answer:
40%
Step-by-step explanation:
2:5 is equal to 4:10 or 40%.
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
--> Its not 29% its 40%
hope it helps you,
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describe how to obtain the graph of g from the graph of f(x)=
[tex] \sqrt[3]{x} [/tex]
Answer: see below
Step-by-step explanation:
Notes: Given [tex]y=a\sqrt[3]{x-h}+k[/tex]
h: shifts to the right (if positive) or left (if negative)k: shifts up (if positive) or down (if negative)a: is a vertical stretch (if >1) or shrink (if <1)-a: reflection over the x-axis11) h = -1, k = -2
shifts left 1 unit and down 2 units from the parent function
12) h = 1, k = 5
shifts right 1 unit and up 5 units from the parent function
13) k = 1, a = -1
shifts down 1 unit from the parent function and reflects over the x-axis
14) h = -1, k = 5
shifts left 1 unit and up 5 units from the parent function
The legs of a right triangle measure 5 inches and 9 inches.
What is the measure of the smallest angle of the triangle?
Enter your answer, rounded to the nearest tenth of a degree, in the box.
Answer:
29.1
Step-by-step explanation:
Use logic.
Jk. Tan(x) = 5/9 so x = tan^-1(5/9)
Use a graphing calculator in degrees mode.
The measure of the smallest angle of the triangle would be equal to 29.1
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that the legs of a right triangle measure 5 inches and 9 inches.
We need to find the measure of the smallest angle of the triangle
Tan(x) = 5/9
Therefore, we have;
x = tan^-1(5/9)
x = 29.1
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Which names the function for the following arithmetic series 11,7,3,-1
Answer:
Arithmetic sequence
Step-by-step explanation:
This is an arithmetic sequence, since each new term is obtained by subtracting 4 from the previous term.
Think you can balance this scale?
Yes. balancing an unknown mass against a known mass.
Explanation:Hope it helps
#CARRYONLEARNING
solve each equation for given variable
-5i– 25 = 25
Answer:
-4
Step-by-step explanation:
-5i - 25 = 25
+25. +25
-5i = 50/-5
i = -4
A large discount store wants to determine the average yearly income of its shoppers. A researcher chooses 100 shoppers at random between 1:00 p.m. and 5:00 p.m. on a Saturday to survey. Identify the population.
A. All shoppers at the discount store between 1:00 p.m. and 5:00 p.m. on this particular Saturday.
B. The 100 surveyed shoppers at the discount store between 1:00 p.m. and 5:00 p.m. on this particular Saturday.
C. All shoppers at the discount store on this particular Saturday.
D. All shoppers at the discount store during a year's time.
E. None of the above.
Answer:
The population is:
D. All shoppers at the discount store during a year's time.
Step-by-step explanation:
Since the discount store wants to determine the average yearly income of its shoppers, the population of interest here is all the shoppers that visit the discount store during a year's time. The population includes all the individual shoppers. However, this number may be too difficult to obtain and work on their data. This is the researcher can choose a sample, calculating its statistics to approximate the population parameters.
solve the triangles. Round to the nearest tenth А 7 B 6 C
Answer:
Sure but can you show me the triangle.
518489625648789*46548897
Answer:
[tex]2.41351201 *10^2[/tex]
Step-by-step explanation:
hope this helps have a good rest of your day :) ❤
In a certain year, about 11/5000 of a country’s population were female nursing home residents and about 7/5000 of a country’s population were male nursing home residents. Find the total fraction of the county’s population that was residing in nursing homes that year
Answer:
18/5000 or 9/2500
Step-by-step explanation:
Since we know both male and female nursing home residents, we can just add the two together to find the total.
What is the common ratio of 7, -14, 28, -56
Answer:
multiplied by -2 I believe
Step-by-step explanation:
Help pleaseee I need some assistance right now
Answer:
69°
Step-by-step explanation:
if CA and AT are congruentsides, this means that the angle of C and T must also be the same.
In order for a triangle to be a triangle, they must meet the angle of 180 degrees.
We know CAT is = to 42
So we subtract 42 from 180 = 138 degrees
we then divide 138 by 2 and we get 69
angles c + t are both 69 degrees
Answer:
69°
Step-by-step explanation:
The measure of angle A is given as 42 and the sum of interior angles in a triangle is equal to 180° we subtract 42 from 180 and divide the result with 2 because this is an Isosceles triangle since |AC| = |AT| m<C = m<T
(180 - 42) ÷ 2 = 69°
A train moves at a speed of 280 feet in 30 seconds.How far did it travel in 1 minute?(pls help asap!)
Answer: A
Step-by-step explanation:
270/30
270÷30 = 9
30÷30 = 1
A train travels at an average speed of 35m/s. workout the time it takes to travel 225km?
Answer:
Step-by-step explanation:
d = rt
225km = 225,000m
225,000 = 35*t
t = 6,428.57 seconds
or 107.14 minutes
or 1 hour and 47 minutes
PLEASE HELP ME 20 POINTS + BRAINLIEST
Find the value of x that makes N the Incenter of the triangle
Answer:
um im not 100% but i think 47
Step-by-step explanation:
The value of x for the given triangle is found to be 6.
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².
Given triangle has N as the incentre.
Which implies that NJ = NL= NK.
Now, apply Pythagoras theorem in ΔANK to obtain,
AN² = AK²+ NK²
=> 37² = 35² + NK²
=> NK²= 37²- 35²
=> NK²= 144
=> NK = 12
Then, As per the question it can be written as,
2x = 12
=> x = 6
Hence, the value of x for the point N to be the incentre is 6.
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PLEASE HELP ASAP 20 POINTS
The newly proposed city park is rectangle shaped. Blake drew a scale drawing of the park and used a scale of 1 cm: 20 ft
1) If the width on the scale drawing of the city park is 25 centimeters, what is the actual width of the park?
A) 250 feet
B) 400 feet
C)500 feet
D)750 feet
2) If the width on the scale drawing of the city park is 25 centimeters and the length is 30 centimeters, what is the actual area of the park?
A) 75,000 ft^2
B) 110,000 ft^2
C) 300,000 ft^2
D) 750,000 ft^2
Answer:
a ,c ,b
esa son creo pero nose
The actual dimensions of the rectangular park are 500 cm by 600 cm and actual area of the park is 300,000 ft²
What is scale?A scale is a set of levels or numbers which are used in a particular system of measuring things or are used when comparing things.
Given that, Blake drew a scale drawing of a rectangle shaped park and used a scale of 1 cm: 20 ft
We need to find the actual width if the width on the scale drawing of the city park is 25 cm, and actual area if the width on the scale drawing of the city park is 25 cm and the length is 30 cm,
a) The given measurement of width in the drawing is 25 cm,
We have,
1 cm = 20 ft
∴ 25 cm = 20 × 25
= 500 ft
b) The given measurement of the width on the scale drawing of the city park is 25 cm and the length is 30 cm,
Actual width = 500 ft
Actual length = 20 × 30 = 600 ft
Area of rectangle = length × width
Actual area = 500 × 600
= 300,000
Hence, the actual dimensions of the rectangular park are 500 cm by 600 cm and actual area of the park is 300,000 ft²
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What is the value of (4/3)^3
Answer:
64/27 = 2.37037037
Step-by-step explanation:
(4/3)^3
Calculate 4/3 to the power of 3 and get 64/27
64/27
What is the solution set for 7x - 3= 18, given the replacement set {0. 1. 2. 3. 4}?
0x=0
ox=1
x=2
X=3
Answer:
ANSWER IS X=3
Step-by-step explanation:
7(3)-3=18 So 7 times 3 minus 3 equals 18
Answer: it is x=3 and i have proof
Step-by-step explanation: