Answer:
[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]
Step-by-step explanation:
From the given information;
The total number of beads = 10 + 8 + 11 = 29
To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:
[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]
∴
The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]
The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:
[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]
[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]
For the sequence above;
[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]
By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]
Thus:
[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]
What is the slope of line that passes through the points (-3, 5) and (0, -1).
Answer:
[tex]m=-2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-3, 5)
Point (0, -1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute [SF]: [tex]m=\frac{-1-5}{0+3}[/tex]Subtract/Add: [tex]m=\frac{-6}{3}[/tex]Divide: [tex]m=-2[/tex]Lynn paid $94 for 6 meals how much would 9 meals cost
Solve the equation.
x² + 6x+15=0
Answer:
x = -3 + i√6 and x = -3 - i√6
Step-by-step explanation:
Let's apply the "completing the square" method to find the roots of this equation.
Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x. Then subtract the same quantity:
x^2 + 6x + 15 becomes
x^2 + 6x + 3^2 - 3^2 + 15 = 0
Rewriting the first three terms as the square of a binomial, we ge:
(x + 3)^2 - 9 + 15 = 0, which simplifies to:
(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6
Taking the square root of both sides:
x + 3 = ±i√6
Then the two roots are complex:
x = -3 + i√6 and x = -3 - i√6
20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?
Answer:
I believe that her goal is 20 pages because 75% of 20 is 15.
Step-by-step explanation:
write an equation of the line that passes through 4,-2 and is parallel to y=-4x+1
Answer:
y=-4x+14
Step-by-step explanation:
A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)
Nineteen less than four times a number is greater than forty-seven.
Please i will give away all my points to the person that answers this in number form thanks
Answer: pretty sure it's the number you multiply by 4 is 17
Step-by-step explanation:
when you multiply 4 and 16 you'll get 64 then you subtract 19 and get 45 which is less than 47 so by reasoning if you were to multiply 4 and 17 you'll get 68 then you subtract 19 from 68 and you should get 49 ( you didn't include how much greater than 47 the number should be but the safest bet would be to use 17)
The new owners of Bluegrass Natural Foods, Inc., have hired you to help them diagnose and cure problems that the company has had in maintaining adequate liquidity. As a first step, you perform a liquidity analysis. You then do an analysis of the company’s short-term activity ratios. 3
Your calculations and appropriate industry norms are listed.
Current ratio bluegrass 4.5 industry norms 4.0
Quick ratio bluegrass 2 industry norms 3.1
Inventory turnover bluegrass 6 industry norms 10.4
Average collection period bluegrass 73 days industry norms 52 days
Average payment period bluegrass 31 days industry norms 40 days
a. What recommendations relative to the amount and the handling of inventory could you make
to the new owners?
b. What recommendations relative to the amount and the handling of accounts receivable could
you make to the new owners?
c. What recommendations relative to the amount and the handling of accounts payable could you
make to the new owners?
Answer:
I don't understand make is more simplify
The graph y=f(x) is graphed below. What is the end behavior of f(x)?
Answer:
as x → -∞, y → ∞ and as x → ∞, y → -∞
Step-by-step explanation:
Just check the first quadrant of the given graph.
In the first quadrant, when x gets smaller, the value of y is increasing to positive infinity.
In other words, as x → -∞, y → ∞
Now, observe the behavior of the graph in the 4th quadrant.
In the 4th quadrant, when x gets larger, the value of y is decreasing to negative infinity.
In other words, as x → ∞, y → -∞
Therefore, the behavior of f(x):
as x → -∞, y → ∞ and as x → ∞, y → -∞
Therefore, option (C) is true.
The end behavior of a graph is defined as what is going on at the ends of each graph when the function approaches positive or negative infinity.
End behaviour of given graph is, x⇒ -∞ then y⇒∞ and x ⇒∞ then y⇒ -∞
Since, here a graph is attached.
From graph it is observed that, when x tends to negative side, graph is going to upward direction. and when x tends to positive side then graph is going to downward direction.
So, when x tends negative infinity then y tends to positive infinity.
when x tends to positive infinity then y tends to negative infinity.
Therefore, end behaviour of given graph are,
x⇒ -∞ then y⇒∞ and x ⇒∞ then y⇒ -∞
Learn more:
https://brainly.com/question/14962400
please help me with this please
Would appreciate some help first to answer gets brainliest
Please help me please!!
(Picture above)
Answer:
1) D
2) C
3) B
4) A
Step-by-step explanation:
type them into desmos online calculator to see the lines
+ + = . . Please im on a time limit
Answer:
what do you mean lol im slow haha
Answer:
In order to solve we need to know what the equation is.
Step-by-step explanation:
Find the measure of angle A.
Answer:
60 degrees sorry if its wrong
Step-by-step explanation:
A table of values of a linear function is shown below.
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation:
An astronaut who weighs 95 kilograms on Earth weighs 15.8 kilograms on the Moon. How much would a person weigh on the Moon if they weigh 105 kilograms on Earth? Round your answer to the nearest tenth, or one decimal place.
please help me
I need help again please
Answer:
I think it's the third one.
Answer:
C
Step-by-step explanation:
What is the slope of the graph of
4x + 3y = 15?
Answer:
-4/3
Step-by-step explanation:
y=mx+b
3y=-4x+15
y= -4/3 x +5
m is slope b is y intercept
34 − 23⋅ (5 − 2) − 60
Answer:
-95
Step-by-step explanation:
Follow order of operations,
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Make sure to do them left to right
Which is larger 14/25 or 0.54
Answer:
14/25
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
1 1/3 divided by 3/4
Answer:
1 7/9
Step-by-step explanation:
Could i have branliest please and a heart
Step-by-step explanation:
11/ 36
hope it helps!
.....
BRANDI WANTS TO CALCULATE THE AVERAGE SPEED
OF A CAR THAT TRAVELED 275 MILES IN THREE
HOURS. WHICH FORMULA BELOW IS CORRECT?
A. S = 3 x 275
B. S = 3/275
C. S = 275/3
D. S = 3-275
MISTER SCIENCE
Answer:
C. S = 275/3
Step-by-step explanation:
The formula for speed is S = d/t
The d is = 275
The t is = 3
So S = 275/3
Hope this helps ya!!
in 2017, the price of a Forever stamp from the United States Postal Service was $0.49. How many Forever stamps could be purchased for $30.38?
Best Answer gets BRAINLIEST!!!
Answer:
3.5/1
Step-by-step explanation:
y/x
3.5/1
determine whether the decimal is terminating repeating or irrational 0.4286
Answer:
irrational decimal
Step-by-step explanation:
It can't be repeated, can't go on forever, so it is an irrational decimal.
Ariel bought 3 raffle tickets for $5. How many tickets could Ariel
buy for $15?
Answer:
9 raffle tickets
Step-by-step explanation:
Because 3 raffle tickets are $5
and to find out the number of tickets you can buy with $15 you have to
divide $15 by $5 which is 3
then multiply the 3 times 3 to get 9 raffle tickets
Have a great day, I hope this is helpful to you.
Answer:
9
Step-by-step explanation:
3=5 6=10 9=15
list the fractions in descending order of 2/5 8/9 4/5 1/3 3/10
Answer:
8/9, 4/5, 2/5, 1/3, 3/10
Step-by-step explanation:
2/5 = 0.4 8/9 = 0.888 4/5 = 0.8 1/3 = 0.333 3/10 = 0.3
A flagpole casts a shadow that is 24 ft long at the same time you cast a shadow that is
4.5 ft long. If you are 6 ft tall, how tall is the flagpole?
Answer:
32 ft tall
Step-by-step explanation:
24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32
What is the predicted value of fuel efficiency (in miles per gallon) for a car with a 2.5 cubic liters engine? Round your answer to two decimals, if needed.
Answer:
25.92
Step-by-step explanation:
Fuel efficiency is the measure or effort that is required to convert the chemical energy in the fuel to the kinetic energy which the cars needs to move. It is meant by how good or effectively the fuel is utilized by the vehicle. It is the ability of the engine to extract more energy from the fuel.
In the context, the size of the engine is 2.5 cubic liters. Then the predicted value of the fuel efficiency will be 25.92 miles per gallon.
Which is smaller, one-ninth of 54 or one-fourth of 36?
Answer:
one-ninth of 54
Step-by-step explanation
54*1/9=6
36*1/4=9
Answer:
1/9 of 54 is smaller than 1/4 of 36
Step-by-step explanation:
1/9 of 54 is 54/9 and that is 6
1/4 of 36 is 36/4 and that is 9.
Please mark brainliest
please help me i’m so confused
