Answer:
The winner play 341 games.
Step-by-step explanation:
An online video game tournament begins with 1024 players.
Four players play in each game
It forms GP : [tex]\frac{1024}{4}=256 , \frac{256}{4}=64 , \fra{64}{4}=16 , \frac{16}{4}=4 , \frac{4}{4}=1[/tex]
So, GP: 256, 64,16,4 , 1
First term = a = 256
Common ratio = [tex]\frac{64}{256}=\frac{4}{16}=\frac{1}{4}[/tex]
Formula of nth term =[tex]a_n=ar^{n-1}[/tex]
[tex]1 = 256 (\frac{1}{4})^{n-1}[/tex]
[tex]\frac{1}{256}=(\frac{1}{4})^{n-1}[/tex]
[tex](\frac{1}{4})^9=(\frac{1}{4})^{n-1}[/tex]
4=n-1
5=n
So, Sum of first n terms=[tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
Substitute n = 5
[tex]S_5=\frac{256(1-(\frac{1}{4})^5)}{1-\frac{1}{4}}[/tex]
[tex]S_5=341[/tex]
Hence the winner play 341 games.
The winner will play 10 games.
Explanation:With 1024 players for the first round, each game will have 4 players. Since there can only be one winner per game, the winner of each game will advance to the next round. To determine the number of games the winner will play, we need to find out how many rounds there will be. In each round, the number of players is halved until only one player remains. Therefore, the number of rounds is equal to the logarithm base 2 of the initial number of players. So, the winner will play a total of log2(1024) = 10 games.
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x^3 - (3 + x)^2x x=4
Answer: IM NOT GOING TO ANSWER YOUR QUESTION DUDE LEARN FROM YOUR TEACHER STOP CHEATING CLEARLY YOUR NOT SMART AND YOUR GOING TO FAIL YOU MATH CLASS AND EVERY OTHER SUBJECT HAHAHAHAHAHAHAHAHHAHAHAHHAHAHAHAH
susie is painting a wall that is 12 feet tall and 9 feet wide if each can of paint has enough paint to cover 8 square feet how many cans of paint will susie need to cover the whole wall
Answer:13.5
Step-by-step explanation:
x= 12*9/ 8
13.5 paints are needed bro
i hope you understand the ans
i didnt add statments
By applying formula of area of rectangle we got that if susie is painting a wall that is 12 feet tall and 9 feet wide if each can of paint has enough paint to cover 8 square feet then total 12 cans of paint will susie need to cover the whole wall
What is rectangle ?Rectangle is a regular quadrilateral with all angle equal to right angle.
Given that wall that is 12 feet tall and 9 feet wide
So area of rectangle = length[tex]\times[/tex]width
Area= [tex]12\times 8=96[/tex]
Given that each can of paint has enough paint to cover 8 square feet
Hence number of cans required = 96/8=12
By applying formula of area of rectangle we got that if susie is painting a wall that is 12 feet tall and 9 feet wide if each can of paint has enough paint to cover 8 square feet then total 12 cans of paint will susie need to cover the whole wall.
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6/8 bigger or less than 1/2
Answer:
6/8 is greater than 1/2
Step-by-step explanation:
6 is over half of 8, its 3/4 of 8
Answer:
Bigger
Step-by-step explanation:
It is bigger. 1/2 equals 4/8, and 6/8 is greater than 4/8.
Drag a statement or reason to each box to complete this proof. If −3(x+8)=−21, then x=−1.
Answer:
Yes, this is true.
Step-by-step explanation:
If you substitue x for -1 you get -3(-1+8)=-21, Then you add -1 and 8 so you should get 7. After, you multiply 7 times -3 you get -21. Proving this statement is correct.
Answer:
See below.
Step-by-step explanation:
We can solve for x:
−3(x+8) = −21
Distribute the -3 over the parentheses:
-3x - 24 = -21
Add 24 to both sides:
-3x -24 + 24 = -21 + 24
-3x = 3
Divide both sides by -3:
x = -1.
So that proves the original equation.
Charlie can make 440 pizzas in 8 hours. How many pizzas can he make in 2p
one hour?
Answer:110 in 2 hours
Step-by-step explanation:
440/80 = 55/1 (55/1x2)
Answer:
I am confused with the question
Step-by-step explanation:
can you correct your spelling
Explain why receiving a 15% discount is the same as finding 85% percent of the original cost of an item. Then, explain how the mathematical properties and equivalent expressions helped them understand and solve the problem. Please answer!!
Answer:
15% discount means you're paying 85% of the marked price because total is 100% and 100-15 = 85%
Let X be the naked price
Paid = marked price - discount
Paid = X - (15/100 × X)
Using distribution property,
Paid = X(1 - 15/100)
Paid = X[(100-15)/100]
Paid = X(85/100)
Which is 85/100 × X
Hence 85% of X
Answer: 85% = 0.85
While 15% = 0.15
Step-by-step explanation:
Percentage is a fraction whose denominator is 100. So if we say 15%, we mean 15/100 = 0.15.
If want to find 15% of a 100, it means 15% of 100 = 15/100 × 100 = 15.
To find 85 % of 100 means 85/100 × 100= 85
hence subtraction of 15% from 100% is 85%
Therefore 15% = 15/100 = 0.15
While 85% is 85/100 = 0.85
enter the ratio on its simplest form 9/12
Answer: 3/4
Step-by-step explanation:
To take this ratio to its simplest form, we have to divide by a value divisible by the numerator and denominator.
3 is a divisible value, therefore,
9/12 = 9 ÷ 3 = 3
12 ÷ 3 = 4
Thus, 9/12 = 3/4
I hope this helps.
What is 2 times the difference of 73 and twice the sum of 9 and 4?
This results in a final answer of 94.
The question asks for the calculation of 2 times the difference of 73 and twice the sum of 9 and 4. Let's break it down step by step:
First, calculate the sum of 9 and 4, which is 9 + 4 = 13.Next, multiply this sum by 2 to get twice the sum, which results in 13 imes 2 = 26.The difference between 73 and the result from step 2 is 73 - 26 = 47.Finally, multiply that difference by 2 as per the question, giving us 47 imes 2 = 94.Therefore, 2 times the difference of 73 and twice the sum of 9 and 4 equals 94.
Solve 4^x + 3 = 9 for x using the change of base formula log base b of y equals log y over log b. A)4.585 B)3.578 C)−1.415 D)−2.422
Answer:
the answer is C) -1.415
Step-by-step explanation:
Just did the test and plugged it into desmos this is the closest answer
Answer:
the answer is -1.415
Step-by-step explanation:
Just finished the test and the correct answer is -1.415
What is the slope indicated
in the table below
X 0 1 2 3
Y 0 5 10 15
Answer:
5
Step-by-step explanation:
1. Identify the changes (Δ) in each consecutive pair of x-values and y-values
The changes in x (Δx) are 1, 1, and 1. The changes in y (Δy) are 5, 5, and 5.
2. Calculate the corresponding values of Δy/Δx
In each case, Δy/Δx = 5.
The slope is 5.
I have organized the calculations in the table below.
[tex]\begin{array}{cc|cc|c}\mathbf{x} & \mathbf{\Delta x} & \mathbf{y} & \mathbf{\Delta y} & \mathbf{\Delta y/ \Delta x} \\0 & & 0 & & \\ & 1 & & 5 & \mathbf{5} \\1 & & 5 & & \\ & 1 & & 5 & \mathbf{5} \\2 & & 10 & & \\ & 1 & & 5 & \mathbf{5} \\3 & & 15 & & \\\end{array}[/tex]
15 is 0.2% of what number? Please answer!
Answer:
7500
Step-by-step explanation:
0.2 x 7500 divided by 100 =15
What is the measure of ∠P, to the nearest degree?
24°
42°
55°
101°
A scalene triangle P Q R. Side P Q is labeled as 5 feet. Side Q R is labeled as 10 feet. Side P R is labeled as 12 feet.
Answer:
55°
Step-by-step explanation:
use The Law of Cosines
cos p = (PR² + PQ² - QR²) / 2 x PR x PQ
= (144 + 25 - 100) / 120
= 69 / 120
=0.575
∠P = 55°
Answer:
55 degrees
Step-by-step explanation:
i took the test
Find the zeros of the function.
Write the smaller solution first, and the larger solution second.
g(x)=(-5x– 1)(2x + 8)
smaller x=
larger x =
Answer:
x = - 4, x = - [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
To find the zeros let g(x) = 0, that is
(- 5x - 1)(2x + 8) = 0 ← in standard form
Equate each factor to zero and solve for x
- 5x - 1 = 0 ( add 1 to both sides )
- 5x = 1 ( divide both sides by - 5 )
x = [tex]\frac{1}{-5}[/tex] = - [tex]\frac{1}{5}[/tex]
2x + 8 = 0 ( subtract 8 from both sides )
2x = - 8 ( divide both sides by 2 )
x = - 4
Thus
smaller x = - 4
larger x = - [tex]\frac{1}{5}[/tex]
the difference between a number and 8 is more than 4
Answer:
x= 13, 14, 15
Step-by-step explanation:
x-8 > 4
+8 +8
x > 12
13
14
15
Quadrilateral ABCD is inscribed in this
circle.
What is the measure of angle A?
Enter your answer in the box.
The measure of angle A is 88°.
Solution:
Given data:
∠A = (2x – 40)°, m∠B = 116° and ∠D = x°
A quadrilateral inscribed in a circle is called cyclic quadrilateral.
∠B and ∠D are opposite angles in a cyclic quadrilateral.
In cyclic quadrilateral, opposite angles are supplementary.
⇒ m∠B+ m∠D = 180°
⇒ 116° + x = 180 °
Subtract 116° from both sides of the equation, we get
⇒ x = 64 °
To find the measure of angle A:
m∠A = (2x – 40)°
= 2(64°) – 40°
m∠A = 88°
Hence the measure of angle A is 88°.
What is the equation of a circle with a center of (-2, -1) and radius of √2?
Answer:
(x + 2)² + (y + 1)² = 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Here (h, k) = (- 2, - 1) and r = [tex]\sqrt{2}[/tex], thus
(x - (- 2))² + (y - (- 1))² = ([tex]\sqrt{2}[/tex] )², that is
(x + 2)² + (y + 1)² = 2 ← equation of circle
Answer: Answer is 2 can I get brainliest pls
Step-by-step explanation: Have a good one
list all natural numbers less than 200 that are divisible by 3, 4, and 5.
Answer: the answer Are 60,120,180
Step-by-step explanation:
Answer:
60,120,180
Step-by-step explanation:
What is the product of 4 and the sum of 3 and 7
Answer:
40
Step-by-step explanation:
4(3+7)
4(10)
40
the product of 2x -3 and x+4 can be expressed as
Answer:
2x^2 + 5x - 12
Step-by-step explanation:
(2x - 3) (x + 4)
= 2x^2 + 8x - 3x -12
= 2x^2 + 5x - 12
What is the missing side length in the triangle below?
Answer:
72
Step-by-step explanation:
180-78-30=72
which pair of expressions below are equivalent?
A 7(2x)and 9x
B 3x + 5x and 15x
C 4(2x - 6)and 8x -24
D x + x + x +x and x^{4}
Answer:
C
Step-by-step explanation:
4 times 2x is 8x and 4 times -6 is -24 and this put together would equal 8x - 24. So, it is B
Answer:
its c!
Step-by-step explanation:
4 (2x-6) and 8x-24 are equivalent i could elaborate a little more
3. Select True or False for each statement about the function y = -9x - 4.
A. The coefficent of x2 is 1.
B. The graph of the function opens up.
000001
tooooo
C. The graph of the function is not a straight line.
D. For positive values of x, as x increases the function decreases,
E. The function does not contain the origin.
Answer: Teacher graded mine and it was: false, true, true, false, true
Step-by-step explanation:
What’s A cylinder with a radius of 8yd and a 12 height of yd
Answer:
192π yd²
Step-by-step explanation:
Surface area of a cylinder = 2πrh
Given, r = 8yd , h = 12yd
S. A = 2 × π × 8 × 12
S. A = 192π yd²
I hope this was helpful, please mark as brainliest
Use substitution to find th
7) 4x – 2y = -22
-x+ y=3
Answer:
y = -5
Step-by-step explanation:
x= (-22+2y)/4 = -3+y
-22+2y = 4(-3+y)
-22+2y = -12+4y
-22+12 = 4y-2y
-10 = 2y
-10/2 = y
-5 = y
Answer:
x = -8
y = -5
Step-by-step explanation:
From the given expression, let's make two equations
4x - 2y = - 22--------------------------(i)
-x + y = 3-----------------------------(ii)
to easily substitute, lets make another equation from equation (ii)
y = 3 + x
substitute (y=3+x) in equation (i)
4x - 2 (x+3) = -22
4x - 2x - 6 = -22
2x - 6 = -22
2x = -22 + 6
2x = - 16
x = -16 / 2
x = - 8
lets solve for (y) by substituting (x = - 8) in equation (ii)
- (- 8) + y = 3
8 + y = 3
8 + y = 3
y = 3 - 8
y = - 5
Therefore:
x = - 8
y = - 5
PLEASE FIND ATTACHED FILE
Maths is fun, keep learning!
Write a situation that could be represented by the algebraic expression 3s + 2.15.
The algebraic expression '3s + 2.15' can represent a real-life situation where you're shopping for food. If sandwiches cost $3 each and a soda costs $2.15, the total you'd spend on 's' sandwiches and one soda is 3s + 2.15 dollars.
Explanation:Here is a scenario that could represent the expression 3s + 2.15: Imagine you're in a store and each sandwich costs $3.00. You're planning to buy 's' number of sandwiches. Now, let's say you also want to buy a soda which costs $2.15. The total cost you will spend in the store would be the cost of the 's' sandwiches plus the cost of the soda, which can be represented by the expression 3s + 2.15. So if you bought 2 sandwiches, the total cost would be 3*2 (for the sandwiches) + 2.15 (for the soda) = $8.15.
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Decide if each sample is random. Explain why or why not.
a. Asking every 15th person on the school roster if they buy lunch in the cafeteria or bring lunch from
home.
b. Measuring the height of all the sunflowers to find the mean height of all the flowers in a garden.
Answer:
a- no they are polling
b-yes there is no point
Step-by-step explanation:
In any given year, a factory has a 20% probability of having an accident. About every how many years might the factory expect to have an accident?
Every 1 year
Every 2 years
Every 5 years
Every 20 years
Answer:
Probability of having an accident = 20% o 0.2
Thus,
Expected number of years = 1/probability of accident = 1/0.2 = 5
Hence,
3. Every 5 years is the correct option.
Step-by-step explanation:
The factory will expect to have an accident every 5 years.
The probability of having an accident in the factory = 20% = 20/100 = 0.2
It should be noted that the highest likelihood for an event happening is 100% which is represented by 1.
Therefore, the number of years that the factory expect to have an accident will be:
= 1 / probability of having an accident
= 1/0.2
= 5 years
In conclusion, the factory will expect an accident every 5th year.
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Question 1
Determine the midpoint of the segment with endpoint (-9,3) and (7,-8).
Question 2
Answer:
(-1, -2.5)
Step-by-step explanation:
the midpoint of a segment is [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2}[/tex][tex])[/tex], given points (x1, y1) and (x2, y2)
[tex]midpoint=(\frac{-9+7}{2}, \frac{3-8}{2} )[/tex] [tex]= (\frac{-2}{2}, \frac{-5}{2} ) = (-1, -2.5)[/tex]
Answer:
m (-1, -2.5)
Step-by-step explanation:
x1=-9 x2=7 y1= 3 y2=-8
-9+ 7 3+ -8
m= ------------ , -----------
2 2
m= -2/2, -5/2
m (-1, -2.5)
what is the solution of n2 - 49 = 0
Answer:
n = 7 , n = -7
Step-by-step explanation:
n^2 - 49 = 0 (Given)
n^2 = 49 (Add 49 on both sides)
n = plus or minus 7 (Square root on both sides)
Answer: “ n = ± 7 ” .
_________________________________
→ that is; “ n = 7 ” ; or: “ n = -7 ” .
_________________________________
Step-by-step explanation:
_________________________________
Given:
n² − 49 = 0 ; Solve for "n" .
_________________________________
Add "49" to each side of the equation:
→ n² − 49 + 49 = 0 + 49 ;
to get:
→ n² = 49 .
_________________________________
Now, take the "square root" of each side of the equation;
to isolate "n" on one side of the equation;
& to solve for "n" ;
_________________________________
→ | √(n²) | = |√49| ;
to get:
→ n = ± 49 .
_________________________________
Hope this helps!
Best wishes in your academic endeavors
— and within the “Brainly” community!
_________________________________
Regina is tying a bow around a soccer ball to give to her sister. The ball has a radius of 4.5 inches. If the ribbon needs to be 10 inches longer than the circumference of the ball so she has enough room to tie a bow , how many inches of ribbon will she need?
The circumference of the soccer ball can be found using the formula for the circumference of a circle, to which 10 inches is then added to find the total length of the ribbon Regina needs.
Explanation:The problem involves understanding the mathematical concept of circumference. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the soccer ball has a radius of 4.5 inches. Therefore, the circumference of the soccer ball would be C = 2π(4.5) inches.
Then, the problem states that the ribbon needs to be 10 inches longer than the circumference of the ball. So the total length of the ribbon that Regina needs is C + 10 inches. By substituting the values, we get the length of the ribbon needed.
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