Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem:
64 teams were invited, thus [tex]a_1 = 64[/tex].After each round, half the teams are eliminated, thus [tex]q = \frac{1}{2}[/tex].The number of teams after 3 rounds is the 4th term of sequence, as the first is the initial number(0 rounds), thus:
[tex]a_n = a_1q^{n-1}[/tex]
[tex]a_4 = 64\left(\frac{1}{2}\right)^{4-1}[/tex]
[tex]a_4 = 8[/tex]
After 3 rounds, 8 teams are left.
A similar problem is given at https://brainly.com/question/25317689
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
144%
Step-by-step explanation:
There are multiple ways to do this but here's the way I used:
2.50/100 = .025
Based on this, 1% of 2.50 is 0.025.
6.10-2.50 = 3.6
3.6/0.025 = 144
Based on this, 3.4 is 144 times greater than 0.025 (1%). So 3.4 is a 144% increase.
If 25 metres of cloth costs Rs. 337. 50 , then the length of the cloth bought for Rs. 810 is
Answer:
19
Step-by-step explanation:
because it not it
Answer:
See below:
Step-by-step explanation:
So first, we can find out the cost for one meter of cloth by dividing 25 by 337.5 Rupees:
[tex]\frac{337.50}{25} = 13.50[/tex]
We now divide 810 by 13.50
[tex]\frac{810}{13.50} = 60[/tex]
We now get our answer of 60 meters!
Cheers!
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Dan received these tips in a given week. How much were his total tips.?
Answer:
we need the amount of tips to answer this ;-;
Step-by-step explanation:
Find the missing angle measure
S=
Z=
(Please help I will give you brainliest!)
Answer:
s=42 , z=34 ,x=55
Step-by-step explanation:
48+90+s=180 [Sum of angles of a triangle]
s=42
z+115+31=180 [Sum of angles of a triangle]
z=34
Number 5,
35+90+unknown angle=180 [Sum of angles of a triangle]
Unknown angle=55
x=Unknown angle [Vertically opposite angles]
x=55
Which is the correct label for a right angle in the figure? (check picture for options and figure)
Answer:
C
Step-by-step explanation:
Frank Camp's regular hourly pay rate is $11.87 an hour. His overtime pay rate is time and-a-half. How much
is Frank paid per hour for overtime work?
Answer:
$17.81
Step-by-step explanation:
11.87 x 1.5 = 17.805
What’s the equation of the horizontal asymptote
By inspection, the equation for the horizontal asymptote is y = -3.
187²–87² without using mathematical table or calculator
27.400
Step-by-step explanation:
187X187 = 34.969
87X87=7.569
34.969 - 7569 = 27.400
Use the identity
(a + b)² = a ² + 2ab + b ²
Then rewrite 187² as
187² = (100 + 87)² = 100² + 2•100•87 + 87²
Subtract 87² eliminates the last term from above, so we're left with
(100² + 2•100•87 + 87²) - 87²
= 100² + 2•100•87
= 10000 + 2•8700
= 10000 + 17400
= 27400
9. Write an equation of a parabola that opens to the right, has a vertex at the origin, and a focus at (7,0).
Answer:
[tex]x = \frac{1}{28} y^{2}[/tex]
Step-by-step explanation:
parabola equation with vertex (0 , 0) and focus length |f| = 7
4*f*(x - h) = (y - k)²
4*7*(x-0)=(y-0)²
28x = y²
[tex]x = \frac{1}{28} y^{2}[/tex]
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors
Answer:
3000000cm³
3000dm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]
A class has 40 students. Number of boys are 6 more than girls. Find number of boys
and girls in the class.
Basically let's represent the number of girls with x.
There are 6 more boys than girls, so x+6
Let's sum it all up
x+x+6=40
Collect like terms;
2x+6=40
2x=40-6
2x= 34
Divide both sides by 2
x=17
17+6=23
Therefore there are 17 girls in the class and 23 boys.
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Select the correct answer.
One of the factors of the polynomial x2 + 5x + 6x is (x2 + 3x). What is the other factor?
AX-2
B. X+ 2
C. X+ 1
D. X-1
Answer:
I think it is B it is my guss
Heyyyyyyyyyyyy can you help
Answer:
1.45 x 10 {2}
Step-by-step explanation:
Bea has ¾ of a cake. If it will be divided equally among 4 persons, what part of the cake will each one gets?
Step-by-step explanation:
(3/4)÷4= 3/16
each will get 3/16 of the cake
If the radius of circle C is double the radius of circle D, what can you say is true to the area of circle C?
Answer:quadrupled
Step-by-step explanation:
If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).
b) Hannah buys 2 1/2 pounds of dried fruit for $1.50. How much is she paying for one pound of dried fruit?
Answer:
hannah is paying 60 cents per pound or dried fruit
Step-by-step explanation:
1.5÷2.5=0.6
Length of rectangle is 4 m less than 3 times its breadth. If the perimeter of rectangle is 32 m. Find its length and breadth B=12
Answer:
Length = 11m and the Breath = 4m
Step-by-step explanation:
L = 3B - 4
p = 32m
2( L + B ) = 32
L + B = 32/2
L + B = 16
(3B - 4) + B = 16
3B - 4 + B = 16
4B - 4 = 16
4B = 16 + 4
4B = 20
B = 20/4 = 5m
B = 5m
L = 3B - 4
L = 3(5) - 4
L = 15 - 4
L = 11m
please brainliest
The highest recorded temperature in Yuma, Arizona, was about 51 degrees C and the lowest recorded temperature was about 11 degrees C
Whats the difference between the highest and lowest temperatures?
Step-by-step explanation:
Definition of temperature:
The tendency of a substance or an object to transfer heat to its surroundings.
Definition of the thermodynamic temperature:
The Kelvin, unit of thermodynamic temperature, is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water
Josh wrote 483 out of an expected 500 words for his essay. How would this ratio be expressed in decimal form?
A 0.034
B 0.483
С 0.966
D 4.83
Answer:
b
Step-by-step explanation:
just trust me
what is the product of 1/2 and 3/5 ?
Answer:
3/10
I think??
Answer:
The answer is 0.3
don't really have a step-by-step explanation just either look it up or do it on a calculator
Hhopppppopppppppohelpppppp
Answer:
gffghjjdfdgfgjgfdgj
Step-by-step explanation:
second angle of a triangle is 10 degrees larger than the first angle. Third angle is 10 larger than second angle. Find the smallest angle of the triangle solution
Answer:
1/2 of an answer is zero
Step-by-step explanation:
A laptop has a listed price of $693.95 before tax. If the sales tax rate is 6.5%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
45.11
Step-by-step explanation:
693.95 x .065 = 45.11
WILL GIVE BRAINLIEST!!!!!! ANSWER QUICK PLEASE!!!
Answer:c?
Step-by-step explanation: i think?
Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.
Answer:
To reflect a graph, f(x) over the x-axis, you take -f(x).
So if f(x)=x^2, then -f(x) is -x^2.
Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.
Step-by-step explanation:
The sum of a number (m) and 15 is 80. Which equation shows this relationship
Answer:
m+15=80
Step-by-step explanation:
A number plus 15 = 80
m + 15 =80
Identify h (x) = [x] + 4
A. Constant function
B. Greatest integer function
C. Direct Variation function
D. Absolute value function
PLEASE HELP ILL MARK BRIANLIEST
Answer:
C
Step-by-step explanation:
The given function h (x) = [x] + 4 as the greatest integer function which is the correct answer would be option (B).
What is the greatest integer function?The greatest integer function takes the greatest integer that is less than or equal to a specified value. The biggest integer less than or equal to a number x is expressed as ⌊x⌋. It will round off the input number to the nearest integer that is less than or equal to the number itself.
Mathematically, the greatest integer function ⌊x⌋ can be defined as follows:
⌊x⌋ = n, where n ≤ x < n + 1 and 'n' is an integer.
According to the given question,
The function is below as
⇒ h (x) = [x] + 4
Here ⌊x⌋ = 4, where 4 ≤ x < 4 + 1 and '4' is an integer.
The given function as the greatest integer function takes the greatest integer that is less than or equal to a value of 4.
Hence, the correct answer would be an option (B).
To learn more about the greatest integer function here:
https://brainly.com/question/12597124
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What value of x is in the solution set of -5x-15x> 10+20x
given the drawing below what is the difference between angle D and angle B
Answer:
given the drawing below what is the difference between angle D and angle B
Step-by-step explanation:
What is the value of k?
help!!!!
Answer:
k = 10°Step-by-step explanation:
[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ [/tex]
An exterior angle of a triangle is equal to the sum of its two interior opposite angles.
[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ {115}^{o} = 4k + 5 + 6k + 10 \\ {115}^{o} = 10k + 15 \\ {115}^{o} - 15 = 10k \\ {100}^{o} = 10k \\ \frac{100}{10} = k \\ {10}^{o} = k \\ [/tex]