Simplify: 2 * 3 to the power of 2 + 3(6 - 3) - 10

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]

Answer:

I got 33y

Step-by-step explanation:

hi if its right but here

Answer:

57y

Step-by-step explanation:

Answer:

I love cookies too.

Answer:

Step-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

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.

" 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.

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Answer:

me depending on what kind of math it is

Step-by-step explanation:

Answer:

275n + 1000 = 2700

They will go 6 days on vacation.

Step-by-step explanation:

Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:

1000 + 275n = 2700

275n = 2700 - 1000

n = 1700/275

n = 6.18

Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.

Answer:

1

Step-by-step explanation:

The required slope of the line is 1 which passes through the points (-5, -3) and (-7, -5).

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.

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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]  

Answer:

I believe it to be C

Step-by-step explanation:

Answer:

you have it right! 3x - 4= 23

Answer: 3x-4 = 23

Step-by-step explanation:

Cos ik

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

Answer:

Light blue

Step-by-step explanation:

Answer:

x ≥ -5

Step-by-step explanation:

Answer:

I believe that her goal is 20 pages because 75% of 20 is 15.

Step-by-step explanation:

Answer:

Step-by-step explanation:

.90-.35=.55

200/.55=364 bags i think

Elvira sells a total of 364 bags to earn a profit of $200 and this can be determined by using the unitary methods.

Given :

The following steps can be used to determine the total number of bags she sells to earn the profit of $200:

Step 1 - First find the total profit she earns to sell one bag.

= 0.90 - 0.35

= $0.55

Step 2 - Now, using the unitary method find the total number of bags she sells to earn a profit of $200 If she earns a profit of $0.55 to sell one bag.

[tex]=\dfrac{200}{0.55}[/tex]

= 363.63 [tex]\approx[/tex] 364 bags

She sells a total of 364 bags to earn a profit of $200.

For more information, refer to the link given below:

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Answer:

I can give you a few of them, sorry

Step-by-step explanation:

5) obtuse 6)straight 7)right 9) 24°

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.

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.

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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:

Answer:

0.03125

Hope this helps! :)

0.03125 is the answer :) hope it helped

Answer:

5 13/15 miles

Step-by-step explanation:

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!

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

Answer: $4 senior, $7 child

Step-by-step explanation:

(3s + 9c = 75)

8s + 5c = 67

Answer:

1.22 meters aprx.

Step-by-step explanation:

This is talking about meters right. If it is 1.22 would be your answer.