Answer:
A
Step-by-step explanation:
You take the 64 teams, split it in half, and then the exponent is r
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation that represents the number of teams t that remained in the tournament after r rounds is t = 64 x [tex](1/2)^{r}[/tex]
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: 3x + 3 = 4 is an equation.
We have,
Number of teams = 64
The number of teams eliminated after each round = Half the team.
The equation represents the number of teams t that remained in the tournament after r rounds.
t = 64 x [tex](1/2)^{r}[/tex] ____(1)
Put r = 1, we must get 32 teams.
t = 64 x 1/2 = 32
Put r = 2 we must get 16 teams.
t = 64 x (1/2)² = 64 x 1/4 = 16
We see that (1) is the correct equation to represent the number of teams t that remained in the tournament after r rounds.
Thus,
The equation that represents the number of teams t that remained in the tournament after r rounds is t = 64 x [tex](1/2)^{r}[/tex]
Option A is the correct answer.
Learn more about equations here:
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A ball is dropped from a height of 192 inches onto a level floor. After the third bounce it is still 3 inches off the ground. Presuming that the height the ball bounces is always the same fraction of the height reached on the previous bounce, what is that fraction?
Answer: The required fraction = [tex]\dfrac18[/tex]
Step-by-step explanation:
Let the required fraction = [tex]\dfrac{p}{q}[/tex]
Given: Initial height = 192 inches
Height of ball after second bounce = [tex]\dfrac{p}{q}\times192[/tex]
Height of ball after third bounce = [tex]\dfrac{p}{q}\times\dfrac{p}{q}\times192=192\dfrac{p^2}{q^2}[/tex]
After the third bounce it is 3 inches off the ground.
So,
[tex](\dfrac{p}{q})^2192=3\\\\\\(\dfrac{p}{q})^2=\dfrac{3}{192}\\\\(\dfrac{p}{q})^2=\dfrac{1}{64}\\\\(\dfrac{p}{q})^2=(\dfrac{1}{8})^2\\\\ \dfrac{p}{q}=\dfrac{1}{8}[/tex]
Hence, The required fraction = [tex]\dfrac18[/tex]
subtract 9 from 16 as an expression pls help
Answer:
16 - 9 = x
i thonk :0
or 16 - 9 = 7
Step-by-step explanation:
Find the volume of the cone-
Step-by-step explanation:
1/3 *πr²h
1/3 × 8×8×9×π
8×8×3×π
64×3×π
192×π
192×22/7
4224/7
While waiting for a video game to download, you notice that
30
%
30%30, percent of
32
,
000
32,00032, comma, 000 kilobytes have been downloaded so far.
How many kilobytes have been downloaded so far?
The relationship between x and y is represented by the table below. Which equation represents this
table?
Х
y
1
6
3
10
4
12.
5
14
A y = x +5
By = 2x + 4
C y = 3x + 3
D
Not Here
define Multiplication Property Of Inequality
Answer:
Step-by-step explanation:
basically it's when the order changes, but the value doesnt.
example: a*b=b*a
Wallpaper was applied to one rectangular wall of a large room. Width: 42 ft length:25.5 ft. If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per square foot?
Answer:
$825869.52
Step-by-step explanation:
Given that,
Width of the rectangle, b = 42 ft
Length of the rectangle, l = 25.5 ft
The area of a rectangle is given by :
A = lb
So,
A = 42 ft × 25.5 ft
A = 1071 ft²
The total cost of the wallpaper was $771.12 . So,
Cost = 1071 × 771.12
= $825869.52
So, the cost of wallpaper per square foot is equal to $825869.52.
que es el dominio en notación de intervalo?
Answer: El dominio es el conjunto de números reales. En forma de intervalo, el dominio de f es (−∞, ∞). Identifica los valores de entrada. / The domain is the set of real numbers. In interval form, the domain of f is (−∞,∞). Identify the input values.
Step-by-step explanation: Used my sheet.
Solve the inequality for x: 1/2(2x + 4) = 3x -6
Jack has 5 apples, he picks out 3 pears. If his train is 7 minutes late, how much time does he have until he dies?
Answer:
huh
Step-by-step explanation:
Answer:
uh well I can't be sure but i would say approx 69 minutes since the train happens to be exactly 7 min late
Pls help! I need answer.
Answer:
b = 98
Step-by-step explanation:
hope this helps . thanks
The figure does not have enough information to state that the two triangles are similar. Explain why you can not prove the triangles similar? What additional information would be needed? (worth 20 points)
Answer:
We can't prove it equal because the measures are different, it cannot be proved through AAS, ASA, SAS or SSS
angle U=Angle R
but UW≠ RT &RS
Step-by-step explanation:
Please help me...will mark brainiest
Answer:
x-121
Step-by-step explanation:
Answer:
x² - 22x + 121
Step-by-step explanation:
(x-11)² is the same as (x-11)(x-11)
multiply the x in the first parentheses by x and -11 in the other parentheses and multiply the -11 in the first parentheses by x and -11 in the other parentheses and add all together
x²- 11x - 11x + 121
x² - 22x + 121
Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?
Answer:
20 years
Step-by-step explanation:
A=500(1+.03)^20
$903
A=100(1+.12)^20
$964
It took her 20 years to overtake.
Answer:
Simple interest = NeverCompound interest = 19 years and 4 monthsStep-by-step explanation:
Jack
Initial amount = $500Interest rate = 3% = 0.03Yearly interest = 0.03*500 = $15
Diane
Initial amount = $100Interest rate = 12% = 0.12Yearly interest = 0.12*100 = $12
Diane's initial amount and yearly interest amount are both less than of Jack's.
It means her balance will never overtake Jack's.
=======================
It is not mentioned in the question but let's assume it is compound interest which is annually compounded.
Then after x years their balance will be:
Jack
500(1 + 0.03)^x = 500*1.03^xDiane
100(1 + 0.12)^x = 100*1.12^xSolve inequality below:
100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 monthsFind the value of 56÷p when p=7.
Answer:
8
Step-by-step explanation:
56/7 = 8
Answer:
8
56 /p.
is is given that
p = 7
now putting the value of p in question
then we get
56/7
8
hope it helps
What is the slope of a line of best fit if its equation is y = −8x + 9?
Answer:
-8
Step-by-step explanation:
-8 also = -8/1, which you would use as your slope on a graph.
The Y intercept would then be (0,9)
Answer:
-8
Step-by-step explanation:
what is the scientific notation of 0.0000003
Answer:
This is ur answer.
Hope.it helps!!!
Please help this is due soon!!! :( Please explain with explanation and answer pls
Answer for A:
x = -56/31
Step-by-step explanation:
The total angle for a pentagon is 360°
100 + 20(-56/31) + 140 + 160 - 5(-56/31) + 16(-56/31) + 16 = 360
100 + -36.1290322581 + 140 + 160 + 9.03225806452 + 28.9032258065 + 16 = 360
If you copy that into a calculator you will get
360°
Answer for B:
The angle for C, rounded to the nearest tenth, is 44.9°
What is (are) the solution(s) to the equation 23x−3=−13x−6?
2x3 equals what because I didn’t get it
Answer:2×3=6
or Add 2 three times
HELP ASAP PLZ. This is timed. I will award 50pts and Brainly to whoever can give me the slope intercept form to this equation. It is vital to my math grade. I risk failing if I don't get this right. HELP HELP HELP. Time is on the essence and my grade is at risk
Answer:
(0,7)
(7/3,0)
Hope this helps!
Step-by-step explanation:
An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?
Answer:
798
Step-by-step explanation:
So, 21*{2*18 + (21-1)*2}/2
= 21*{36 + 20*2}/2
= 21*{36+40}/2
= 21*76/2
= 1596/2
= 798
Total number of seats is 798
Given that;Number of seats in first row = 18
Number of rows = 21
Each row added number of seats then previous = 2
Find:Total number of seats
Computation:Total number of seats = Sn = (n/2)[2a + (n-1)d]
Total number of seats = Sn = (21/2)[2(18) + (21-1)2]
Total number of seats = (21/2)[36 + (20)2]
Total number of seats = (21/2)[36 + 40]
Total number of seats = (21/2)[76]
Total number of seats = (21)(38)
Total number of seats = 798
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write and solve an equation to find the missing diemsion of the circle
diameer=24
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wtjfavyw
Which inequality is represented by the graph below? O y < 2x - 3
Oy > 2x - 3
Oy<-3x + 2
Oy> -3x + 2
Answer:
Oy > 2x - 3
Step-by-step explanation:
because it has > so with will be on the left side
I also recommend Desmos because it helps you with these questions.
and that's what I used.
The inequality represented by the graph below is y > 2x - 3.
Option B is the correct answer.
What is inequality?An inequality is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
We have,
To graph an inequality, you need to identify the equation of the line or boundary that separates the two regions defined by the inequality.
This boundary can be a line, a curve, or even a plane in three dimensions.
Next, you need to determine which region to shade, based on whether the inequality symbol is less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥).
If the inequality symbol is less than (<) or greater than (>), the boundary line should be drawn as a dashed line since the points on the line are not included in the solution set.
Then, shade the region above the line if the symbol is greater than (>), or below the line if the symbol is less than (<).
If the inequality symbol is less than or equal to (≤) or greater than or equal to (≥), the boundary line should be drawn as a solid line since the points on the line are included in the solution set.
Then, shade the region above the line if the symbol is greater than or equal to (≥), or below the line if the symbol is less than or equal to (≤).
Finally, label the shaded region as the solution set and write the inequality symbol next to it.
From the given graph we see that,
y > 2x - 3 has the same graph.
Thus,
The inequality represented by the graph below is y > 2x - 3.
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ADD two expressions
-3t-1 and 6t + 10
I need help agen plz my teachers are still asking me to stay
Answer:
y = 7x^2 + 42x + 64
Step-by-step explanation:
... i know standard form, you just distribute the exponent to the parenthesis amounts and put it in order, hope it helps
Answer:
y = 7 x ^2 + 42 x + 64
Step-by-step explanation:
1. Miriam is starting a lawn mowing business. She bought a mower for $450 and will spend
about $1.20 per hour on gasoline. How many hours will it take for the average cost per hour
for Miriam to do business to be less than $50. If x represents the number of hours she
mows, which inequality shows the average cost per hour for Miriam to do business and what
is the solution? (A.REI.2, A.CED.1)
a. 450 + 1.20x < 50; she can never have an average less than $50
b. 450 + 1.20x < 50; 14 hours
c. 450 + 1.20x < 50; 10 hours
d. 450 – 1.20x < 50; 9 hours
Answer:
she can never have an average less than $50 b. ... If demand of gasoline is inelastic, more of the burden of tax can be ...
Step-by-step explanation:
Which expression is represented on this number line?
Answer:
where's the number line??
13. Find the measures of the numbered angles.
Answer:
8=117 7=63 9=63
Step-by-step explanation:
180-117 = 63
7 and 9 = 63
A straight line=180
Angles across from each other are the same
9 and 7 are the same, and 117 degrees and 8 are the same
Math- Lisa is buying a cover for her patio table. If the table is 5 ft on all sides, what is the area of the cover?
Answer:
25
Step-by-step explanation:
length times width
5 times 5