Answer: 735,471
This is one number
======================================================
Work Shown:
[tex]_{n} C _{r} = \frac{n!}{r!*(n-r)!}\\\\_{24} C _{8} = \frac{24!}{8!*(24-8)!}\\\\_{24} C _{8} = \frac{24!}{8!*16!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17*16!}{8!*16!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17}{8!}\\\\_{24} C _{8} = \frac{24*23*22*21*20*19*18*17}{8*7*6*5*4*3*2*1}\\\\_{24} C _{8} = \frac{29,654,190,720}{40,320}\\\\_{24} C _{8} = 735,471\\\\[/tex]
We use the nCr combination formula because order doesn't matter.
The number of ways Kyle’s choose eight to attend his birthday party is 43263.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, ⁿCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
Given that, there are 24 student in Kyle’s kindergarten class.
He choose eight to attend his birthday party
Now, number of ways is
²⁴C₈= 24!/8!(24-8)!
= 24×23×22×21×20×19×18×17×16!/8! 16!
= 24×23×22×21×20×19×18×17/8×7×6×5×4×3×2×1
= 3×23×11×3×4×19×3×17/4×3
= 3×23×11×3×19
= 43263
Therefore, the number of ways Kyle’s choose eight to attend his birthday party is 43263.
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5−14x=15−14x. help me please .........................................................................
Write in words 572, 198.
Answer:
five hundred and seventy two, one hundred and ninety eight
Step-by-step explanation:
Harry cycles 8 kilometres in 30 minutes.
Calculate his average speed, in km/h
Answer:
16km/h
Step-by-step explanation:
average speed = total distance traveled / total time taken
30 min = 0.5 h
8/0.5 = 16km/h
What is the measure of the missing exterior angle?
Answer:
54 degrees
Step-by-step explanation:
The sum of all the exterior angles on ANY convex polygon = 360 degrees
X = 360-47-97-36-88-38
= 54 degrees
To graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. Where do you
come up with values to use in the graph?
a T-chart using positive real numbers
T-chart using all real numbers
b T-chart using negative real numbers
d. T-chart using random values for x and y
C.
Please select the best answer from the choices provided
S.
Answer:
answer
Step-by-step explanation:
d becuase i it is
d. T-chart using random value of x and y.
What is an exponential function ?An exponential function is where the exponent or the power of a given number(base) is the independent variable.
According to the given question we have to graph an exponential function.
Assuming the exponential function to be eˣ.
To plot this exponential function eˣ we take some negative real nos. and some positive real nos. we can also take fractional values also we can take any rational no. and even imaginary nos.
At x = 0 the function eˣ will be 1. It is a good place to stat sketching the graph.
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The equation of a line is y = 2x + 1 1. Copy and complete the table belo 1 2 (x, y) Plot the points on graph paper and draw the line.
Answer:
2(-2)+1 = -3
2(-1)+1 = -2
2(0)+1 = 1
2(1)+1 = 3
2(2)+1 = 5
what is c in c/4 = - 9/8 ?
Answer:
c = -9/2
Step-by-step explanation:
HELPPPPPPPPPPPPPPPpppp
Answer:
C
Step-by-step explanation:
If I had to choose I'd say C since it makes the most sense. A also could be a good answer but I'd say C
20mnx^{2} \frac{x}{y} 50mx^{2} 4nx^{2} 9
Answer: 20m^(2)-9m-20
Step-by-step explanation
Uhhhhh, help?
its math lol
Answer:
Perpendicular
Step-by-step explanation:
2014, a toy store sold 12,824 stuffed animals. In 2015, the toy store sold 24,490 more stuffed animals than it did in 2014. The toy store sold the same number of stuffed animals in 2016 as it did in 2015. How many stuffed animals did the toy store sell in 2014, 2015, and 2016 combined?
Answer:
87452
Step-by-step explanation:
not needed
Answer: in 2015 they sold 37,314. In total they sold 87,452 in all three years combined.
Step-by-step explanation:
Which of the following place values would be found to the left of the 1 in 0.01?
1 ones
2 tenths
3 hundredths
4 thousandths
Answer:
tenths
Step-by-step explanation:
Tenths would be the place value found to the left of the 1 in 0.01 because the one is in the hundredths place value. If you move over to the left, it would be the tenths. Hope this helps!
Baby Unicorns have a weekly training schedule, flying for 4 hours per day on some days and 2 hours per day on the other days. They fly a total of 24 hours in a seven-day week. On how many days do they fly for 4 hours?
The Baby unicorns fly 4 hours for 5 days and 2 hours for 2 days.
Let x represent the number of days flown 4 hours and y represent the number of days flown 2 hours
Since they worked a total of 7 days, hence:
x + y = 7 (1)
Also, they flew for 24 hours hence:
4x + 2y = 24 (2)
Solving equations 1 and 2 simultaneously gives:
x = 5, y = 2
Therefore they fly 4 hours for 5 days and 2 hours for 2 days.
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What is the recursive formula for this sequence?
10, 14, 18, 22, 26,...
O A. (
= 4
len = 2n-1 +10
=
O B.
ay = 30
an = an-1 + 4
=
C.
(ay = 10
lan= any +4
O D.
ſay = 10
Lan = an-1-4
lan
Answer:
[tex]\begin{cases}a_1 = 10\\a_{n+1} = a_n + 4\end{cases}[/tex]
==================================================
Explanation:
The first row [tex]a_1 = 10[/tex] indicates the first term is 10. The small "1" is the index number. That means [tex]a_2[/tex] is next followed by [tex]a_3[/tex] and so on.
To generate the next term, we follow this recursive step: [tex]a_{n+1} = a_n + 4[/tex]
It means "whatever the nth term [tex]a_n[/tex] is, we add 4 to it to get the next term [tex]a_{n+1}[/tex]"
In other words, we add 4 to each term to get the next term.
Eg: 10+4 = 14 and 14+4 = 18
The recursive step could be rewritten as [tex]a_n = a_{n-1}+4[/tex] based on how you frame things.
A real number between the square root of 13 and 14.
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
What is one sixth of 192?
One taxi company
charges $5 just to
stop, and $0.8 per
mile after that.
Another taxi company
charges $11 just to
stop, and $0.6 per
mile after that.
For _____miles the
two companies will
cost the same.
What percent of students who spent less than 3 hours online are girls?
The percent of students who spend less than 3 hours online that are girls will be 38.24%.
Number of girls that spend less than 3 hours online = 26
Number of boys that spend less than 3 hours online = 42
Total number of students that spend less than 3 hours online = 26 + 42 = 68
Therefore, the percent of students who spend less than 3 hours online that are girls will be:
= 26/68 × 100
= 38.24%
In conclusion, the correct option is 38.24%.
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40 points! Please help
Answer:
Could we choose our environment, and were desire in human undertakings synonymous with
endowment, all men would, I suppose, be optimists. Certainly most of us regard happiness as
the proper end of all earthly enterprise. The will to be happy animates alike the philosopher, the
prince and the chimney-sweep. No matter how dull, or how mean, or how wise a man is, he feels
that happiness is his indisputable right.
2 It is curious to observe what different ideals of happiness people cherish, and in what singular
places they look for this well-spring of their life. Many look for it in the hoarding of riches, some
in the pride of power, and others in the achievements of art and literature; a few seek it in the
exploration of their own minds, or in the search for knowledge.
3 Most people measure their happiness in terms of physical pleasure and material possession.
Could they win some visible goal which they have set on the horizon, how happy they would be!
Lacking this gift or that circumstance, they would be miserable. If happiness is to be so
measured, I who cannot hear or see have every reason to sit in a corner with folded hands and
weep. If I am happy in spite of my deprivations, if my happiness is so deep that it is a faith, so
thoughtful that it becomes a philosophy of life,—if, in short, I am an optimist, my testimony to
the creed of optimism is worth hearing....
4 Once I knew the depth where no hope was, and darkness lay on the face of all things. Then
love came and set my soul free. Once I knew only darkness and stillness. Now I know hope and
joy. Once I fretted and beat myself against the wall that shut me in. Now I rejoice in the
consciousness that I can think, act and attain heaven. My life was without past or future; death,
the pessimist would say, “a consummation devoutly to be wished.” But a little word from the
fingers of another fell into my hand that clutched at emptiness, and my heart leaped to the
rapture of living. Night fled before the day of thought, and love and joy and hope came up in a
passion of obedience to knowledge. Can anyone who has escaped such captivity, who has felt
the thrill and glory of freedom, be a pessimist?
5 My early experience was thus a leap from bad to good. If I tried, I could not check the
momentum of my first leap out of the dark; to move breast forward is a habit learned suddenly
at that first moment of release and rush into the light. With the first word I used intelligently, I
learned to live, to think, to hope. Darkness cannot shut me in again. I have had a glimpse of the
shore, and can now live by the hope of reaching it.
6 So my optimism is no mild and unreasoning satisfaction. A poet once said I must be happy
because I did not see the bare, cold present, but lived in a beautiful dream. I do live in a
beautiful dream; but that dream is the actual, the present,—not cold, but warm; not bare, but
furnished with a thousand blessings. The very evil which the poet supposed would be a cruel
6) Read the last sentence from the text.
Only by contact with evil could I have learned to feel by contrast the beauty of truth and love and goodness.
Explain how Helen Keller develops this idea in the text. Use specific details to
support your answer.
A student measured the length of a certain bar as 20 cm, which exceeded the actual length by 10% the actual length of the bar was
Answer:
18cm
Step-by-step explanation:
20/10 = 2cm
So since 2x10 is 20 and it exceeded only 10%, we only subtract 2 from 20 which you leave you with 18cm.
4. A colony of bacteria is growing in such a way that each generation is 2.5 times as large as the previous generation. Suppose there are 450 bacteria in the first generation.
a) Show that nº generation is 180(2.5)^n
b) How many will there be in the fifth generation?
c) What will be the total number of bacteria in the first tenth generations to the nearest integer? [10 marks]
Step-by-step explanation:
I think there are some typos in a)
anyway, this is a geometric sequence.
that means that after a starting value each new term is created by multiplying the previous term by a certain factor.
a)
s1 = 450
factor f = 2.5
so,
s2 = 450×2.5 = 1125
and so on.
from that we see that
sn = 450×(2.5)^(n-1)
and as
450/2.5 = 180
or
450 = 180×2.5
we can "extract" another 2.5 factor from the basic 450.
so,
sn = 180×2.5×(2.5)^(n-1) = 180×(2.5)^n
b)
s5 = 180×(2.5)⁵ = 17,578.125 or rounded 17578
c)
the question is unclear. are the bacteria of previous generations still there, when a new one is generated ?
then the 2.5 factor creates the sum implicitly, and the total number of bacteria in the first 10 generations is simply the 10th term s10.
s10 = 180×(2.5)¹⁰ = 1716613.76953125 = 1,716,614
or is it meant to sum the numbers of each generation (the old bacteria "go away", when the next generation is generated) ?
the sum of the first n terms of such a geometric sequence is
sum = a1×(1 - f^n)/(1 - f)
so, for our first ten terms
sum = 450×(1 - 2.5^10)/(1 - 2.5) =
= 450×-9535.7431640625/-1.5 =
2860722.94921875 = rounded 2,860,723
On Wednesday, Mirella hands out flyers to 9 people. On Thursday, each person copies the flyer and hands them out to 9 other people. On Friday, these people copy their flyer and hand them out to 9 other people.
How many people received a flyer on Friday?
Enter your answer as a power by filling in the boxes.
Answer:
9^3
Step-by-step explanation:
Hi! I hope this helps:
I got 9^3 because I would have solved this problem by doing 9 x 9 x 9, but since it says to answer as a power, I would say 9^3. (Sorry if I didn't include the explanation of why I got 9 x 9 x 9. It's kind of hard to explain it on here for me.
The number of people who received a flyer on Friday is 729.
Given that,
On Wednesday, Mirella hands out flyers to 9 people.On Thursday, copied each hands them out to 9 other people.On Friday, copied and each hand them out to 9 other people.Based on the above information, the calculation is as follows:
[tex]= 9 \times 9 \times 9[/tex]
= 729
Therefore we can conclude that the number of people who received a flyer on Friday is 729.
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estimate. Which difference is greater? 1) 11/20 - 1/10. 2) 11/12 - 3/10. 3) The estimated differences are equal
Answer:
Option 2) is greater. 11/12-3/10
Answer:
2.) 11/12 - 3/10
Step-by-step explanation:
1.) 36/60
2.) 37/60
I cant solve this pls help
Answer:
x is element of -1/2 and 2
Step-by-step explanation:
this is the answer
brainlist please
Suppose that g(x) = f(x) + 6. Which statement best compares the graph of
g(x) with the graph of f(x)?
Answer:
The graph of the function is shifted 6 units above that of the graph of f.
Step-by-step explanation:
Assuming that f and g are functions that map real numbers to real numbers, the graph of f is the set
{f(x) : x in R }
and the graph of g is the set
{g(x) : x in R}
where R is the set of real numbers. Since g(x) = f(x), the graph of g is then
{f(x) + 6 : x in R}.
The record low temperature in Houston for November 12th is -3 degrees. The record high temperature is 83 degrees. What is the difference between the record high temperature and the record low temperature?
Answer:
80 degrees
Step-by-step explanation:
-3 + 83 is the same as 83 -3.
0.57356 multiplied by 10 equals______ (with solution)
Answer:
5.7356
Step-by-step explanation:
please mark me as brainlest and
Answer:
0.57356 × 10 = 5.7356
Step-by-step explanation:
in multiplying any decimal to number 10.. the easiest trick to do here is to move the decimal point to the right. since we have number 10 and it has one 0's in it ...
...we only move the decimal point to the right one time!so your answer to your question is 5.7356Please help me with this question
Answer:
64%
Step-by-step explanation:
1. First, we must know that the fraction 48/75 represents that out of 75 total fish, 48 of them were trout.
2. Now, let's divide 48 by 75:
48 ÷ 750.643. Lastly, to convert it into a percentage, we must multiply 0.64 by 100:
0.64 × 1006464%Therefore, the answer is 64%.
If 1/3 cup sugar is needed to make two loaves of bread, how many cups of sugar are needed for three loaves?
Answer: 6 cups of sugar, i believe this is correct
Step-by-step explanation:
3/4*2=6/46/4/1/4=6/4*4=6 = 6 pours
Answer:
So, you need one-half of a cup which is half(0.5).
Step-by-step explanation:
Due to the fact that 1/3 cup sugar is required to make two loaves you mind as well divided 1/3 over two in order to get 0.16666666666. Then times it by three and that'll represent the amount required which is one-half(0.5).
Simplify the following polynomial expression.
(3x^2 – 1x– 7) - (532 – 4x - 2) + (c+ 3)(x+ 2)
Answer:
cx+3x^2+2c+6x-531
Step-by-step explanation: