Answer:
here,
v-5/6=-7/8
v=-7/8+5/6
v= -1/24
distance from -3 to 0
Let tk be the number of ways to choose k beads from a drawer that contains 10 red beads, 8 blue beads, and 11 green beads. Find the generating function for the sequence {tk} 29 k = 0. Do not find a formula for tk.
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]
HELP HELP MEEEEE HELPPPPPPPPPPPPPPPPPPP
Answer:
Add your brain then get smart
can someone please help :/? the question is in the picture
Answer:
I'm pretty sure the answer is B
Need help first to answer gets brainliest
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
lowest x is -1 ant farthest is 4.
please help me asap and
Answer:
you have it right! 3x - 4= 23
Answer: 3x-4 = 23
Step-by-step explanation:
Cos ik
Find the unit rate. Round to the nearest hundredth, if necessary.
$5.99 for 18 lb
The unit rate is ?/b
which value completes the table?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Plug in -3 to t^2-3
-3^2-3
9-3
6
A is the only answer that has 6. So your answer would be A
Kyle uses a school gym to run a weekly yoga class. He must pay the school a fee for the use of the gym. Each person who comes pays x dollars. The amount of profit Kyle makes can be represented by the expression:
nx−d
What does the term nx represent?
A
the fee for the use of the school gym
B
the number of people in the yoga class
C
the cost of the yoga class for each person attending the class
D
the total money Kyle collects from people attending the class
Answer:
I believe it is D
Step-by-step explanation:
The entire equation y=nx-d means that d is the fee Kyle pays the school. SO that means that nx is the amount of money he earns from the people attending a yoga class.
Term nx represents the total money Kyle collects from people attending the class.
What is linear equation in one variable?
" Linear equation in one variable represents straight line and it is a equation in one variable in which degree of the given variable is equals to one. General form is written as ax + b =0."
According to the question,
x represents fees paid by each person for yoga class.
Condition is Kyle has to pay a fee for the use of gym.
It mean gym fees would be deducted from her earned fees from yoga class.
Therefore , d represents gym fee.
n represents number of people comes for yoga class.
From the given condition it is a linear equation in one variable,
Therefore, nx represents amount Kyle collects from people attending the class.
Hence, Option (D) is the correct answer.
Learn more about linear equation in one variable here
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Write an equation that represents the line
Answer:
y = -2x - 3
Step-by-step explanation:
First, find slope (m) of the line using two points (0, -3) and (1, -5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-3)}{1 - 0} = \frac{-2}{1} = -2 [/tex]
The line intercepts the y-axis at y = -3. Therefore the y-intercept (b) of the line = -3.
To write the equation that represents the line, substitute m = -2, and b = -3 into y = mx + b.
Thus:
y = -2x + (-3)
y = -2x - 3
A line is drawn so that it passes through the points (-5,-3) and (-7,-5). What is the slope of the line?
Answer:
1
Step-by-step explanation:
The required slope of the line is 1 which passes through the points (-5, -3) and (-7, -5).
What is the slope of the line?The slope of a line is defined as the change in the y-coordinate (the "rise") divided by the change in the x-coordinate (the "run").
To determine the slope of the line that passes through the points (-5, -3) and (-7, -5), we can use the formula:
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let
x₁ = -5, y₁ = -3
x₂ = -7, y₂ = -5
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Plugging in the coordinates of the two points, we get:
slope = (-5 - (-3)) / (-7 - (-5))
Simplifying this expression gives us:
slope = -2 / -2
Which simplifies to:
slope = 1
Therefore, the slope of the line that passes through the points (-5, -3) and (-7, -5) is 1.
Learn more about the Slope of the Line here:
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Write the ratio as a fraction in lowest term: 15 to 36
Answer:
5/12
Step-by-step explanation:
15 to 36 can also be written as 15/36.
Divide by common values to simplify.
15÷3/36÷3
5/12
Best of Luck!
I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS FIRST
i finished the other question but i need help with this one!!!! I will give brainleist
Answer:
1.22 meters aprx.
Step-by-step explanation:
This is talking about meters right. If it is 1.22 would be your answer.
if f(x) = x^2 + x , find f(-3) a)-12 b)3 c)6
HELP PLZ WILL GIVE BRAINLYEST
Answer:
Light blue
Step-by-step explanation:
Answer:
x ≥ -5
Step-by-step explanation:
By the Exterior Angle Theorem, which of the following is a true statement?
Answer:
2nd option is the correct answer
Step-by-step explanation:
[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]
According to the Exterior Angle Theorem, the true statement should be considered as the option b.
What is an Exterior Angle Theorem?The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.
So based on this, we can say that the option b is correct.
learn more about an angle here: https://brainly.com/question/6150811
Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.
y = 0
y = 3
x = 0
x = 3
Answer:
x = 0Step-by-step explanation:
The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0
f(x) = 2^x +3.
0 = 2^x +3.
2^x +3. = 0
2^x = -3
log 2^ x = log(-3)
x log2 = log(-3)
x = log(-3)/log 2
Hence the required function is when x = 0
Please explain how to do this please show work
Answer:
(x-1)(x+4)
I.e x(x+4)-1(x+4)
Xsquare +4x -x -4
Xsquare +3x -4
The radius of the sphere is 9 inches. Which equation can be used to find the surface area of the sphere?
Answer:
Option (2)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area = 4πr²
Here 'r' = Radius of the sphere
We have to calculate the surface area of a sphere with radius r = 9 inches.
By substituting the value of r in the formula,
S = 4π(9)²
Therefore, Option (2) will be the correct option.
Answer:
B. S = 4 pi r squared = 4 pi (9) squared
PLZ HELP, WILL GIVE BRAINLIEST!!!
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.
What is the price each of one senior citizen ticket and one child ticket?
Answer: $4 senior, $7 child
Step-by-step explanation:
(3s + 9c = 75)
8s + 5c = 67
Solve x^2 + 6x + 15 = 0 using the Quadratic Formula
What expression is equivalent to 12y + (7y)(3)
Answer:
I got 33y
Step-by-step explanation:
hi if its right but here
Answer:
57y
Step-by-step explanation:
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:
HELP ME PLEASEEEE :)
Answer:
I believe it to be C
Step-by-step explanation:
Guys I need some help
using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².
Answer:
D
Step-by-step explanation:
Who is good at math?
Answer:
me depending on what kind of math it is
Step-by-step explanation:
sjfudshfuhfuhdufhshfsudhfusdfl
Answer:
I love cookies too.
In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 124 cars, 29 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 90% confidence.
Answer:
The estimate the proportion of college students who drive cars with manual transmissions with 90% confidence is
[tex]0.171 < p < 0.297 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 124
The population proportion p = 0.06
The number of cars with manual transmissions is k = 29
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ 29 }{124 }[/tex]
=> [tex]\^ p = 0.234[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.234 (1- 0.234 )}{124} } [/tex]
=> [tex]E = 0.063 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.234 - 0.063 < p < 0.234 + 0.063 [/tex]
=> [tex]0.171 < p < 0.297 [/tex]