The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers.
Answers
Answer:
1 5 10 10 5 1
Step-by-step explanation:
The complete question has been attached as an image.
Looking at the triangle, we see a pattern. The first level we have 1, in the next level we have 1 1, the next evel we have 1 2 1, the next level we have 1 3 3 1 and so on. From here, we see that to get the numbers of the next level, we have to write 1 as the first number, then add 1 to the next number after it in the previous level to get the second number in the next level then add the second number of the previous level to the next number beside it to get the third number in the next level and so on until you get to the last number before 1 in the previous level, add that number to 1 to get the second to the last number in the next level and finally put 1 as the last number in the next level. Now, we have
1 4 6 4 1
1 5 10 10 5 1
And that is the required set of numbers.
Related Questions
The monthly cost of running a small business consists of retail space rental at $2400, wages at $1800 and utilities at $480. If the retail space rental and wages are decreased by 5% and 6% respectively, while utilities are increased by 7%, find the percentage increase or decrease in the monthly cost of running the business.
Answers
Answer:
5.8%
Step-by-step explanation:
For the business,
retail space rental = $2400
wages = $1800
utilities = $480
Total running cost = $4680
But,
retail space rental decreased by 5%, so that;
5% of $2400 = 0.05 x $2400 = $125
The new retail space rental = $2400 - $125
= $2275
wages decreased by 6%, so that;
6% of $1800 = 0.06 x $1800 = $108
The new wages = $1800 - $108
= $1620
Utilities increased by 7%, so that;
7% of $480 = 0.07 x $480 = $33.6
The new amount on utilities = $480 + $33.6
= $513.6
New total running cost = $2275 + $1620 + $513.6
= $4408.6
The percentage decrease in the monthly cost = [tex]\frac{(4680 - 4408.6)}{4680}[/tex] x 100%
= [tex]\frac{271.4}{4680}[/tex] x 100%
= 5.8%
The area, a, of a square whose side length is n
Answers
Answer:
a*n=area
Step-by-step explanation:
Please help me............
Answers
Answer:
85°
Step-by-step explanation:
180° - (67°+28°) =p
180°- 95° = p
P = 85°
Select all of the zeros of the function f(x)=(3x−4)(x+2).
4
2
43
− 43
− 2
− 4
Answers
Answer:
64784 is the answer of the question here in this article
Step-by-step explanation:
mark me BRAINLIEST
Which travels faster: a car that travels 6 miles in 10 minutes at a constant speed, or a train that travels 6 miles in 8 minutes at a constant speed? Explain how
you
Answers
Answer: 29 :)
Step-by-step explanation:
Can only polygons be rotated
Answers
Answer: no
hope this helps!!!!!!! lol i suck
I dont know how I need help on how to do it
Answers
Answer:
oh my what grade u in
Step-by-step explanation:
|x |-8= -5
what's the answer
Answers
Answer:
|x |-7 = -5 ( x = -3 )
Step-by-step explanation:
After how many weeks will Donald and Ralph have the same amount of money saved?
A-6wks
B-20wks
C-12wks
Answers
50 BRAINLY POINTS PLS HELP
Answers
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
I believe the answer is y = 8x - 3 (Option B)
Hope this helps!! :D
Write the equation of the line:
(0,3); slope -2
Answers
Answer:
y=-2x+3
Step-by-step explanation:
the y-intercept is (0,3) and the slope is -2, just plug that in to the slope intercept form, y=mx+b
Pls mark as brainliest thank u.
Two trains leave a station, one headed due west and the other headed due south. How fast is the southern bound train moving if the west bound train is 15 miles from the station traveling at a constant speed of 35 mph, the distance between the trains is 24 miles, and the distance between them is increasing at a rate of 25 mph.
Answers
Answer:
dx/dt = 4 mph
Step-by-step explanation:
The two trains, with the station ( origin of the coordinates system) all, form a right triangle when we considered the distance between the two trains.
In that triangle:
distance between trains D = 24 miles
leg (1 ) distance of train going west to origin y = 15 miles
leg (2) distance of train going south x = ??
When d = 24 and y = 15
D² = y² + x² ⇒ x² = D² - y²
x = √ (24)² - (15)²
x = √351
x = 18,73 miles
Now according to Pythagoras theorem
D² = x² + y²
Taking derivatives (respect to time) on both sides of the equation we get
2*D*dD/dt = 2*y*dy/dt + 2*x*dx/dt
In this expression we are looking for dx/dt, all the rest of variables are known
2*24*25 = 2* 15*35 + 2*(18,73)* dx/dt
(1200 - 1050 )/37,46 = dx/dt
dx/dt = 4 mph
Help I’ll mark you as the brainliest
No answer choice
parallel to y = 5x – 7 but contains (-1,-3)
Answers
Answer:
-3 = -12
Step-by-step explanation:
Have a great day
I hope that is the answer you are looking for :)
A cheese maker changes the temperature of her milk at a rate of -2 per minute. What is the change in the temperature of the milk after 25 minutes?
please be sure about your answer !!
Answers
Answer:
-50
Step-by-step explanation:
25 * -2 = -50
Answer:
The change of temperature of the milk after 25 minutes will be -50 degrees because a rate of -2 per minute would be 25 times -2 Have a nice day! :)
What is the reciprocal of 4/12?
Answers
Answer: 12/4 or 3
Step-by-step explanation: Switch the numerator and denominator. This should leave you with the answer above.
Answer:
12/4 = 3/1 = 3
Step-by-step explanation:
To find the reciprocal of a fraction, flip it.
The reciprocal of 4/12 is 12/4 which reduces to 3.
A coin is biased such that a is times as likely to occur as a tail. Find the expected number of when this coin is tossed twice.
Answers
Complete question:
A coin is biased such that a head is three times as likely to occur as a tail. Find the expected number of tails when this coin is tossed twice.
Answer:
1/2
Step-by-step explanation:
Head is 3 times as likely to occur as tail;
Hence,
Sample space for 2 tosses :
{HH, HH, HH, HH, HH, HH, HH, HH, HH, HT, HT, HT, HT, HT, HT, TT}
Expected probability (E(x)) = Σx*p(x)
P(x) = required outcome / Total possible outcomes
x : __________ 0 ______ 1 _______ 2
p(x) : ________9/16_____6/16_____1/16
Σx*p(x) : 0(9/16) + 1(6/16) + 2(1/16)
= 0 + 6/16 + 2/16
= 0 + 3/8 + 1/8
= 4/8
= 1/2
List and describe the characteristics of a wave
Answers
Answer:
Crest = Highest point of the wave.
Trough = Lowest point of the wave.
Wavelength = Distance from one crest/trough to the next (m)
Wave Height = Height from trough to crest (m)
Wave steepness = ratio of wave height to wavelength.
Amplitude = distance from the centre of wave to the bottom of the trough (m)
Step-by-step explanation:
What is the value of y?
B
60°
12
12
ro
60°
А
12 to 60
Answers
answer 60°
solve:180°-(60°+60°)
180°-120°
60°##
A bakery sells 20 pies, 30 cakes, and 35 muffins on Saturday. The bakery sells
10 pies, 18 cakes, and 28 muffins on Sunday. Which ratio is the smallest?
O A. Number of pies to cakes sold on Saturday
B. Number of cakes to muffins sold on Saturday
C. Number of pies to cakes sold on Sunday
D. Number of cakes to muffins sold on Sunday
Answers
the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value
Answers
Answer:
a) 20 - 3^2 = 11
b) 5th, 20 - 5^2 = -5
Step-by-step explanation:
The answer assumes your terms begin at 1. If the terms begin at zero
a) 16
b) 6th term
if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers
Answer:
a)11
b)5th term
Step-by-step explanation:
Which expression is equivalent to - 3/4 divided (-8/12)
Answers
Answer:
3/4
Step-by-step explanation:
There are no answer choices so I just solved the equation
-3/4 divided by -8/12
Flip -8/12 to -12/8
Multiply -3/4 by -12/8
24/32
Simplify.
12/16
Simplify some more.
6/8
Simplify even more.
3/4
Hope I helped :)
Please consider Brainliest
Robert earned $300 for 6 hours of work. How much did he make in dollars per hour?
Robert earned $
per hour
Will mark brainliest
Q
Answers
Answer:
$50
Step-by-step explanation:
What is the multiplicative identity of the complex number –4 + 8i
Answers
Answer:
B, 1
Step-by-step explanation:
EDGE 2020
During the first hour of a snow storm 1 2/8 inches of snow fell in the next hour 4 3/8 inches fell in the third hour the snow stopped and 1 inch of snow melted how much snow was on the ground at the end of the third hour
Answers
Answer:
4 5/8
Step-by-step explanation:
Can someone help me answer these please?
Answers
Answer: I think that the person above me is right so you should mark her/him brainliest.
During the 2011-12 NBA season, LeBron James had an average of 30.3 points per game. The mean and standard deviation for the league were 7.65 points per game and 6.64 points per game, respectively. That same season the WNBA was led by Diana Taurasi who averaged 21.6 points per game. The mean and standard deviation for the entire WNBA that year were 8.13 points per game and 4.77 points per game, respectively. Who had the more remarkable performance compared to the rest of their league
Answers
Answer:
LeBron James had the more remarkable season
Step-by-step explanation:
Given that:
LeBron James:
Average point per Game = 30.3
Mean of the league (m) = 7.65
Standard deviation (s) = 6.64
WNBA:
Taurasi:
Average point = 21.6
Mean = 8.13
Standard deviation =4.77
Taking the Zscore for each:
LeBron :
Zscore = (x - m) / s
Zscore = (30.3 - 7.65) / 6.64
Zscore = 22.65 / 6.64 = 3.411
P(z < 3.411) = 0.99968
Taurasi :
Zscore = (x - m) / s
Zscore = (21.6 - 8.13) / 4.77
Zscore = 13.47 / 4.77
Zscore = 2.82
P( Z < 2.82) = 0.9976
LeBron's average has more standard deviations above the mean than Taurasi
Brandon is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $2 per mile driven. Company B charges an initial fee of $35 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Brandon drives xx miles, and let BB represent the amount Company B would charge if Brandon drives xx miles. Write an equation for each situation, in terms of x, and determine which company would be cheaper if Brandon needs to drive 45 miles with the rented truck.
Answers
Answer:
-Equations:
AA=75+2x
AA=75+2x
-Company A would be cheaper.
Step-by-step explanation:
-Company A: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:
AA=75+2x
AA=75+2(45)
AA=75+90
AA=165
-Company B: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:
BB=35+3x
BB=35+3(45)
BB=35+135
BB=170
According to this, if Brandon needs to drive 45 miles with the rented truck, Company A would charge $165 and Company B would charge $170 which means that Company A would be cheaper.
PLEASE ANSWER IMMEDIATELY!!!
Answers
Answer:
C.
Step-by-step explanation:
Point lines A and B are pointed in the same each direction.
Point line straight C and G.
Hope this helps.
Have a good night ma´ám/sir.
Be safe!
Answer:
B and C
Step-by-step explanation:
Both do not intersect AB and are not parralel to AB.
My math teacher,mr.numeric, went to the auto show last weekend. I made the mistake of asking him what he saw.here was his response: I’m glad you asked. I made several interesting observations. As you might have guessed, every red car was a sports car, but I found it odd that half of all the blue cars were sports cars. Interestingly, a salesman told me that half of all the sports cars were red. I counted 40 blue cars and 30 red cars. Now can you tell me how many sports cars were neither blue nor red?
Answers
Answer:
10
Step-by-step explanation:
all red cars were sports cars (30) half of the blue cars were sports cars (20) if 30 is half of all the sports cars, and 20 is 2/3 of half, then the 1/3 left is 10.
List 5 significant advances in architecture Eastern Indians made
Answers
Answer:
Primarily, the Indian temple architecture has been classified into three broad types, namely; Nagara or the northern style, Vesara or mixed style, and the Dravida which is the southern style. All these styles carry their unique regional influences and lineages.
Step-by-step explanation:
