Answer:
After n passing, the total number of people knowing the secret [tex]= 2^n[/tex].
After 10 passing, 1024 peoples know the secret.
Step-by-step explanation:
Given that each friend can pass the secret to 2 people.
On 1st pass:
Total number of people knowing the secret = 1+1=2
On 2nd pass:
Total number of people knowing the secret = 1+1+1x2=4
On 3rd pass:
Total number of people knowing the secret = 1+1+2+2x2=8
This can be written as [tex]1+1+2+2^2=1+1+2+2^{3-1}=8[/tex]
Or, [tex]1+S_3=8[/tex], where [tex]S_3=1+2+2^{3-1}[/tex].
So, for the [tex]n^{th}[/tex] pass:
Total number of people knowing the secret = [tex]1+1+2+2^2+\cdots+2^{n-1}=1+S_n, where, S_n = 1+2+2^2+\cdots+2^{n-1}[/tex].
As [tex]S_n[/tex] is the sum of geometric progression of n terms having the first term, [tex]a_1=1[/tex], and the common radio [tex]r=2[/tex].
So, [tex]S_n = \frac{a_1(r^n-1)}{r-1}[/tex]
[tex]\Rightarrow S_n =\frac{1(2^n-1)}{2-1}=2^n-1[/tex].
Hence, after n passing, the total number of people knowing the secret
[tex]=1+S_n = 1+2^n-1=2^n.[/tex]
After, 10 passing, put n=10.
Total number pf peoples know the secret [tex]= 2^{10}=1024.[/tex]
HELP PLZ FAST!!!! 10 POINTS!!! PLZ HURRRY!!
Identifying the Correlation in a Scatterplot
On a graph, points are grouped closely together in a horizontal line.
Identify the correlation in the scatterplot.
A. Positive Correlation
B. Negative Correlation
C. No Correlation
Answer:
C. No Correlation
Step-by-step explanation:
If it is a horizontal line, the line doesn't have any change
Answer:
B
Step-by-step explanation:
Greg is making accessories for the soccer team. He uses 813.44 inches of fabric on headbands for 37 players and 4 coaches. He also uses 358.16 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Total number of people including players and coach is, T = 37 + 4 = 41.
Total fabric used for making headbands is, h = 813.44 inches.
So, amount of fabric used for each person is :
[tex]F_h = \dfrac{813.44}{41}\\\\F_h = 19.84\ inches[/tex]
Total fabric used for making wristband is : w = 358.16 inches.
Amount of fabric used for each person is :
[tex]F_w = \dfrac{358.16}{41}\\\\F_w = 8.74 \ inches[/tex]
Hence, this is the required solution.
Answer:
Step-by-step explanation:
i want bobox gibe me now ugliy
For a certain sandwich, the model predicts 15 grams of fat but it actually has 17 grams. What is the recidual?
Answer: 2 grams
Step-by-step explanation:
To find a residual you must take the predicted value and subtract it from the measured value.
predicted value; 15
measures value; 17
17-15=2
Mary bought a car priced at $23,500. If the value of the car decreases every year by 9%, approximately what will be the value of the car after 10 years?
Answer:
$4626.548
Step-by-step explanation:
Given that :
Cost of car = $23,500
Value of car decreases by 9% every year
Value of car after 10 years =?
Using the formula :
A = p(1 + r/n)^nt
A = final amount
P = cost of car = principal
r = Depreciation = - 15%
t = number of years
A = 23500(1 + - 0.15/1)^10
A = 23500(0.85)^10
A = $4626.548
the first one to get it CORRECT first will give brainliest plus 11 points :)
Answer: 54
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
6×6=36 because you have to multiply it 2 times
4×4=16
16+36=52
ANSWER AND ILL GIVE BRAINLIEST 30 PTS
Help pls I got an email from school Bc I didn’t finish this and I need to finish it before next class and I have like 6 more checks to do after eeeeeee!!!!!
Answer:
169.25 [tex]inches^{2}[/tex]
What is the distance between (5, –1) and (5, –4)?
Answer:
3
I hope this helps!
Answer:
3
Step-by-step explanation:
Help will mark as brainless thanks
Answer:
136000×2000\8×100 do like that the answer is come
Will give BRAINLY. Complete the table using the equation y=4×+7
Answer: you would just do y= 4x (4•1 would be 4) plus 7. hope this helps!!
Step-by-step explanation:
Answer:
Is your computer cracked anywise
Step-by-step explanation:
Solve for x.
(5x - 24)
(8x + 9)
Answer:
We get two values x = 24\5
x = -9\8
Step-by-step explanation:
We can also do it by another method.
(5x - 24)
(8x + 9)
Just change the signs of 8x and 9 in minus.
we get
-3x = -33
3x =33
x = 33\3
x = 11
Hope this helps you.
Please Mark as Brainliest.
PLS HELP AGAIN ASAP THIS THE SECOND TO LAST PROBLEM ON MORE AFTER THIS
Answer:
140
Step-by-step explanation:
because 2 cups of flour turned to 20 cups is to 14 cups of sugar to 140 cups
so the ratio goes from 2: 14 to 20: 140
Which set of ordered pairs does not represent a function?
O {(5,-2),(-6,-4), (-2,3), (-1,-4)}
O{(-3,4), (-8,0), (3,-8), (-3,-4)}
O {(6,3), (-1,5), (-7,3), (3,0)}
O {(3,9), (2,7), (9,9), (4, -3)}
Answer:
The second choices is the answer
O{(-3,4), (-8,0), (3,-8), (-3,-4)} as you can see there's a repeating domain or value of x which is the -3
PLEASE I BEG HELP ME EVEN WITH A FEW
Answer:
Statement Reason
∠CDE ≅ ∠ABE Alternate interior angles are equal
∠DCE ≅ ∠BAE Alternate interior angles are equal
CD ≅ AB AB║CD
ΔABE ≅ ΔCDE ASA congruence
hope it helps you❤
How many times will you roll a number less than 4 on a number cube if you rolled it 250 times ?
A) 100
B) 90
C) 125
D) 85
Answer:
C. 125
Step-by-step explanation:
The ratio for one time is 3:6. It is 3:6 because there are 3 numbers less than 4 on a number cube. You can now compare the two ratios.
3:6 = x/250.
This is a ratio, so both numbers would have to be multiplied by the same number. 6 * 41 = 250.
3 * 41 = 123.
(41 was rounded from 41.6666667. This is why it comes out to 123.)
Rhianna's toy car traveled a distance of 5 yards 2 feet. How many inches did Rhianna's toy car traveled?
Answer:
204 inches
Step-by-step explanation:
$29,000; 4% decrease
Answer:
$27,840 is the correct answer
Step-by-step explanation:
hope this helps!
Answer:
after a 4% decrease, you would have $27,260 left
Step-by-step explanation:
Sharon drives 1/3 of the total distance to big bend on the first day. On the second day, she travels 1/3 of the total distance in the morning and 1/6 of the total distance in the afternoon. How much of the total distance has sharon driven by the end of the day?
Answer:
5/6
Step-by-step explanation:
Given that :
Fraction of total distance driven on first day = 1/3
Second day :
Fraction driven in the morning = 1/3
Fraction driven in the afternoon = 1/6
Total distance driven by the end of the day :
1/3 + 1/3 + 1/6
Take the L. C. M
(2 + 2 + 1) / 6
= 5 /6
5/6 of the total distance
I need help answering this please
Answer:
Part A
x = 4
Part B
10 - 2x = 7 + 5x (x = 4)
6 - 5x = 3 + 2x (x = 4)
7 - 3x = 4 + 6x (x = 6)
6x - 2x² = 3x + 5x² (x = 3x/7) I'm not sure what step is next though
hope this helps.
Question 14
A company paid $391 for 15 bushes and 8 bonsai trees. They had to purchase 9 more bushes and 5 more bonsai trees for $241. What is the cost of each bush and bonsai tree? Enter your answers in the
boxes below.
Bushes:
Bonsai Tree:
Answer:
The cost of each bushes is $9.00
The cost of each bonsai trees is $32.00
Step-by-step explanation:
The given parameters are
The amount the company paid for 15 bushes and 8 bonsai trees = $391
The amount for which the company purchased 9 more bushes and 5 more bonsai trees = $241
Let x represent the cost of each bushes and let y represent the cost of each Bonsai Trees, we have;
15 × x + 8 × y = 391...(1)
9 × x + 5 × y = 241...(2)
We make y the subject of both equations to get;
For equation (1), we have;
15·x + 8·y = 391
15·x + 8·y = 391
8·y = 391 - 15·x
y = 391/8 - 15/8·x
For equation (2), we have;
9 × x + 5 × y = 241
5·y = 241 - 9·x
y = 241/5 - 9/5·x
Equating both equations, gives;
391/8 - 15/8·x = 241/5 - 9/5·x
391/8 - 241/5 = 15/8·x - 9/5·x = 0.075·x
0.675 = 0.075·x
x = 0.675/0.075 = 9
x = 9
Therefore, the cost of each bushes = x = $9.00
From, y = 241/5 - 9/5·x, we have;
y = 241/5 - 9/5×9 = 32
y = 32
Therefore, the cost of each bonsai trees = y = $32.00
PLEASE HELP GUYSS I NEED IT
Answer:
To solve an area of a rectangle the formula is LxW. Right now we only know the width. Lx2 = 112 So, you would do 112 divided by 2 which equals 56.
LxW = 56x2
which is 112
Step-by-step explanation:
1. Solve for “P” A=P+Prt
2. Solve for “x” ax+3=bx-5
Please help me work out these equations
Answer:
P = A/1+rt
Step-by-step explanation:
Given: A = P + Prt
Applying the distributive principle: A = P( 1 + rt)
Dividing both sides by (1 + rt):
A/1 + rt = P
Kiley is measuring the change in length of a blade of grass each day. Which are the best units for Kiley to report her findings?
THE BEST UNITS FOR KILEY TO REPORT HER FINDINGS IS CENTIMETRE
Unit conversion is a way of converting some common units into another without changing their real value. The best unit for Kiley to report her findings is cms per day.
What is Unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Given that Kiley is measuring the change in length of a blade of grass each day. Now, since the length of the blade of grass is too minute, therefore, it can be measured in either cm, mm, or inches.
But, mm is too small for this measurement, while inches are too big to measure the significant change in the length.
Hence, the best unit for Kiley to report her findings is cms per day.
Learn more about Units conversion here:
https://brainly.com/question/4736731
#SPJ2
Identify the slope and the y-intercept of y= 2x - 5
Slope =
y-intercept =
***Remember, the y-intercept should be written as a point!
Answer:
slope: 2/1
y intercept: (0,-5)
Step-by-step explanation:
mark me brainliest by going to the bottom of this answer and click the button next to comments
thank you!!
PLEASE HELP ASAP! WILL MARK BRAINLIEST!!
Answer:
C. y=10x + 5
Step-by-step explanation:
y=10(2)+15
y=20+5
y=25 and x=2
This is the only one that works.
Answer:
I got D
Step-by-step explanations
I did y2-y1/x2-x1
I did 40-25/5-2 which will equal to 15/3=5
then I did 25=2x+b
25=2(5)+b
25=10+b
subtract 10
then you will get 15
So it will be y=5x+15
if I am wrong please correct me thanks :)
Divide. Simplify your answer. 20m2/10k2m ÷4k2m2
Answer:
[tex]\frac{1}{2kx^{4}m }[/tex]
Step-by-step explanation:
Please mark brainliest
If you spend two hours playing sports after school, what percent of your day is devoted to sports? Use 24 hours as the length of a day.
A. about 2%
B. about 8%
C. about 20%
D. about 12%
Answer:
The answer is B. about 8%
Step-by-step explanation:
The answer is B. because the actual answer would be 8.3333% but rounded it is about 8%
In two years, the value of a car changed from $14,000 to $11,200.What is the percent of change
Answer:
Percentage change = (14000-11200) / 11200 * 100
= 280000 / 11200
= 25%
So, your final answer is 25%
Hope this helps!
Step-by-step explanation:
Please help me, What is the slope??
Answer:
-0.5
Step-by-step explanation:
the nth term of a sequence is n^2+20
work out the first 3 terms
Answer:
21, 24, 29
Step-by-step explanation:
To calculate the first 3 terms, substitute n = 1, 2, 3 into the rule, that is
a₁ = 1² + 20 = 1 + 20 = 21
a₂ = 2² + 20 = 4 + 20 = 24
a₃ = 3² + 20 = 9 + 20 = 29