Answers
Answer:
maybe it meane 11/a
Step-by-step explanation:
Answer:
The bracket is the binomial.
The definition is: [tex]\binom{n}{k} = \frac{n!}{k!\cdot (n-k)!}[/tex]
Note that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex]
The meaning is "if we have n elements, how many ways are there to choose k of them?" From this definition it should be obvious that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex] - if you're picking k, it's just as many ways as choosing the (n-k) that you're not picking.
The coefficient can be found by realizing that to get x^9, we need to choose (from the full multiplication):
9 brackets to provide x2 brackets to provide the number 3There's [tex]\binom{11}{9}[/tex] ways to do that, so the component for x^9 will be:
[tex]\binom{11}{9} \cdot 3^2 \cdot x^9 = \frac{11!}{2!\cdot 9!} \cdot 3^2 \cdot x^9 = \frac{10\cdot 11}{2} \cdot 3^2 \cdot x^9 = 55 \cdot 9 \cdot x^9 = 495x^9[/tex]
So:
a = 2
Coefficient is 495
Related Questions
Factor this expression completely and then placed the factors in the proper location on the grid. Note: please factors alphabetically in the grid!
ab + 4 + a + 4b
PLEASE ANSWER, WILL MARK BRAINLYEST!
Answers
Answer:
(a + 4)(b + 1)
Step-by-step explanation:
ab + 4 + a + 4b
Rearrange the expression to find the GCF.
ab + a + 4b + 4
Now find the GCF.
a (b + 1) + 4 (b + 1)
Divide the whole thing by b+1
(a + 4)(b + 1)
Luis's car used 4/5
of a gallon to travel 29 miles. At what rate does the car use gas, in miles per gallon?
Answers
Answer:
36.25 miles per gallon
Step-by-step explanation:
4/5 = .8
29/.8 = x/1
cross-multiply:
.8x = 29
x = 36.25
Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?
Answers
Answer: Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?
Step-by-step explanation:
250 + $7,289 + $1,275 = 8814
la suma de los tres terminos de una sustraccion es 720. calcula el minuendo
Answers
Answer:
i dont know
Step-by-step explanation:
During the summer Tyler delivers packages a Miranda Cares for animal on a farm to show there earnings Tyler makes a graph and Miranda makes a table, which statement is true?
Answers
Answer:
divide the earnings number by the time, and then subtract the quotient by the slope of tylers graph.
Help Please! Find The Area Of A Circle With D=8.2
Answers
Answer:
52.81
Step-by-step explanat
Can someone please help me answer this question asap thank you
Answers
d) Vegetable ghee is stored in a rectangular vessel of internal dimensions
60 cm x 10 cm x 45 cm. It is transferred into the identical cubical vessels. If the
internal length of each cubical vessel is 10 cm. how many vessels are required to
empty the rectangular vessel?
Answers
27 vessels
Step-by-step explanation:
get the volume of the rectangular vessel 60cm ×10cm ×45cm giving you 27000cm3.Find volume of one of the cube 10cm×10cm×10cm giving 1000cm3.
if 1 cube =1000cm3
? = 27000cm3
27000cm3× 1cube
1000cm3
di
vide then get your answer as 27 vessels
the radius of a circle is 18.4 inches. the circle's circumference is about ___ inches.
use 3.14 for pi
Answers
Answer:
115.552 or 116 inches.
Step-by-step explanation:
Use the circumference of a circle formula which is C= 2piR. Where C is circumference and R is radius. So you get C=2(3.14×18.4) which gives you 115.552.
help i need the answer
Answers
Answer:
NO
Step-by-step explanation:
If the diameter of the circle is doubled the area will be increased 4 times
DEPRECIATION The value of a new tractor decreases by 20% each year. The initial cost of a tractor is $38,000. Write a function f(t) that can be used to project the value of the tractor t years in the future.
Answers
Answer:
y = 0.20x(-38,000) + 38,000
Step-by-step explanation:
y: represents how much the price is now.
x: Represents the number of years passed.
y = 0.20x(-38,000) + 38,000
For example if it's 1 year
y = 0.20(1) (-38,000) + 38,000
y = 0.20(-38,000) + 38,000
y = -7600 + 38,000
y = 30,400
Find the area of the figure
Answers
Answer:
A=153.94
Step-by-step explanation:
Which of the following could be used to calculate the total surface area of the figure?
Answers
Answer:b
Step-by-step explanation:
Jamal uses the line of best fit y = 700x + 38,000 to predict his annual salary, y, after x years.
What is the y-intercept of the line of best fit and what is the meaning of the y-intercept?
Answers
y=mx+b
B, the last variable is the y-intercept.
The y-intercept is n intercept is a point on the y-axis, through which the slope of the line passes and the y-intercept of the given equation is 38,000.
What is a y-intercept?In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.
The given equation is y=700x+38,000 to predict his annual salary, y, after x years.
In the given equation, y-intercept is 38,000.
Therefore, the y-intercept is n intercept is a point on the y-axis, through which the slope of the line passes and the y-intercept of the given equation is 38,000.
To learn more about the y-intercept visit:
brainly.com/question/14180189.
#SPJ2
PLS hurry!! I'LL MARK BRAINLIEST!
Answers
Answer:
A. 5+x-12=2x-7
-7+x+2x-7
x=2x
x-2x=0
-x=0-> x=0
B.
when X=-0.5
5+(-0.5)-12=2 (-0.5)-7
-7.5=-8 (answer does not work)
when X=0
5+0-12=2(0)-7
-7=-7 (answer works)
when x=1
5+1-12=2(1)-7
18=-5 (answer does not work)
Step-by-step explanation:
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
A) From this case you would need to narrow down the whole equation...
Like this: [tex]5+x-12=2x-7[/tex] → [tex]x-7=2x-7[/tex] → [tex]x=0[/tex]
B) To prove that one of these numbers solve the equation, we would have to check it ourselves.
Like this: [tex]5+(-0.5)-12=2(-0.5)-7[/tex] → [tex]-7.5=-8[/tex] (SO THIS WON'T WORK)
[tex]5+0-12=2*0-7[/tex] → [tex]0=0[/tex] (THIS WORKS!)
[tex]5+1-12=2(1)-7[/tex] → [tex]-6=-5[/tex] (NOR DOES THIS WORK)
Therefore: [tex]x=0[/tex] will work to solve the equation correctly
Select all the true sentences!!!
Answers
Answer:
only the 1st is true
Step-by-step explanation:
the rest are wronf
...............
Is 41.77 a integer?
Answers
Answer:
nope, an integer must be a whole number, no fractions / decimals
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
An integer is a whole number or a number that is not a fraction or decimal. So, since 41.77 is a decimal it cannot be an integer. Examples of integers are 41 or -2.
Find the area of the shaded sector.
Answers
On Saturday, a local hamburger shop sold a combined total of 261 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday?
Answers
Answer:
134 hamburgers
Step-by-step explanation:
Let H = # of hamburgers
# of cheeseburgers = 2H
H + 2H = 402
3H = 402
H = 402/3
H = 134
A certain bacterium has an exponential growth rate of 25% per day. If we start with 0.5 gram and provide unlimited resources, how many bacteria can we grow in 2 weeks? Round to the nearest tenth of a gram. HINT: How many days are in a week?
Answers
Answer:
FV= 11.369 gr
Step-by-step explanation:
Giving the following information:
Growth rate (g)= 25% per day
Number of periods (n)= 14 days
Present Value (PV)= 0.5 gr
To calculate the Future Value(FV) in grams, we need to use the following formula:
FV= PV*(1+i)^n
FV= 0.5*(1.25^14)
FV= 11.369 gr
A company is designing a new cylindrical water bottle the volume of the bottle by 204 cm the height of the water bottles 8.9 cm3 what is the radius of a water bottle use 3.14 for pie
Answers
Answer:
2.70cm
Step-by-step explanation:
Given data
Answer:
2cm
Step-by-step explanation:
Given data
Capacity/volume= 204 cm
Height= 8.9 cm
Required
The radius r
let us apply the expression for the volume of a cylinder
V=πr^2h
204=πr^2*8.9
204=3.14r^2*8.9
r^2= 204/27.946
r^2=7.30
r= √7.30
r=2.70cm
Hence the radius is 2.70cm
Please help!!! I'll mark you as brainliest!!!!
What is 0.504854369 as a percentage rounded to the nearest tenth
Answers
easiest way to remember: a percentage is a decimal rounded 2 decimal places to the right
rounded to the nearest tenth, the percentage will be 50.5%
if u need more help tell me
What is the theoretical probability of rolling a 3 on a die?
Answers
Answer:
1/6 or 16.67% chance
Step-by-step explanation:
Assuming its a normal six sided dice. You would have a 16.67% chance of getting a 3.
If p(x)= 2^x, what is the value of p(3) - p(2)?
Answers
Answer:
4
Step-by-step explanation:
p(3) = 2³ = 8
p(2) = 2² = 4
8-4 = 4
Evaluate the expression: 2y-9 when y = 3
Answers
Answer:
-3
Step-by-step explanation:
2·3-9
6-9 = -3
EASY POINTS!! INCLUDE A DISC!!
pls no bots i don't want any links :(
Answers
Step-by-step explanation:
[tex]180 - 35 - 65 = \\ = 145 - 65 = \\ = 80[/tex]
Answer:
i BELIVE it will be 50 I’m super sorry if I’m wrong lovly.
Step-by-step explanation:
(450) + (28.75x) = 967.50
solve for x
Answers
Answer:
18
Step-by-step explanation:
Hello,
In order to solve for x, we need to isolate the variable on one side of the equation.
To do this, we subtract 450 from both sides of the equation, and this will give you:
28.75x = 517.5
As mentioned, we need to isolate x, so we divide both sides by 28.75. This will give the following.
x = 18
Hope this helps!
A person visits the store and picks up five kg vegetables for did he buy?
£6.25. Which vegetable
Tomato - £1.50 per kg Carrot - £1.75 per kg Cabbage - £2 per kg Beetroot - £1.25 per kg
Answers
It costs $1.16 to buy four-fifths a pound of apples. How much would it cost to
buy 8 pounds?
Answers
Answer:
11.60
Step-by-step explanation:
If the cost of 4/5th a pound of apples is $1.16, and we need to find the cost of that of 8 pounds, then you start by finding how many 4/5ths of a pound are in 8 pounds. 8 dividided by 0.8 (the decimal form of 4/5) is 10. Taking that 10, you would multiply the original cost of $1.16, which would bring you to the total of $11.60.
A spherical globe has a diameter of 10 inches. What is the approximate volume of the globe?
Answers
Answer:
523.33 in^3
Step-by-step explanation:
A sphere is a 3-dimensional version of a circle. An example of a sphere is a ball
Volume of a sphere = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]
Where
π = 3.14
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
diameter = 2r
Radius = 10 in / 2 = 5 inches
[tex]\frac{4}{3}[/tex] × 3.14 ×[tex]5^{3}[/tex] = 523.33 [tex]in^{3}[/tex]