I need help on this math question please fully answer the question i need help.

Given:

[tex](3x-2)^9[/tex]

To find:

The coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex].

Solution:

We know that, in the expansion of [tex](x+y)^n[/tex],

[tex]T_{r+1}=^nC_rx^{n-r}y^r[/tex]       ...(i)

[tex](3x-2)^9[/tex] has only one x and in [tex]x^6[/tex], the power of x is 6. It is possible if

[tex]n-r=6[/tex]

[tex]9-r=6[/tex]

[tex]9-6=r[/tex]

[tex]3=r[/tex]

Putting n=9, r=3, x=3x and y=-2 in (i), we get

[tex]T_{3+1}=^9C_3(3x)^{9-3}(-2)^3[/tex]

[tex]T_{4}=\dfrac{9!}{3!(9-3)!}\times (3x)^{6}(-8)[/tex]

[tex]T_{4}=\dfrac{9\times 8\times 7\times 6!}{3\times 2\times 1\times (9-3)!}\times (729x^{6})(-8)[/tex]

[tex]T_{4}=84\times (729)\times (-8)\times x^{6}[/tex]

[tex]T_{4}=-489888x^6[/tex]

Therefore, the coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex] is -489888.

Answer:

Step-by-step explanation:

Givens

C is the midpoint of AE

D is the midpoint of BE

DC is given as 46

Remark

Triangle CED is similar to AEB by SAS for similarity

Therefore DC is 1/2 the size of AB

Solution

1/2 AB = DC

1/2 AB = 46          Multiply both sides by 2

AB = 2*46

AB = 92

Answer:

[tex]t = 15.7[/tex]

Step-by-step explanation:

Given

[tex]Principal = 25000[/tex] --- P

[tex]Amount = 75000[/tex] --- A

[tex]Rate = 7\%[/tex] --- R

Required

Determine the time (t)

Using continuous growth formula:

We have

[tex]A = Pe^{rt}[/tex]

Convert rate to decimal

[tex]Rate = 7\%[/tex]

[tex]r = 0.07[/tex]

Substitute values for A, P and r

[tex]75000 = 25000 * e^{0.07t}[/tex]

Divide both sides by 25000

[tex]3 = e^{0.07t}[/tex]

Rewrite the exponential function as logarithmic, we have:

[tex]ln3 = 0.07t[/tex]

Reorder

[tex]0.07t = ln3[/tex]

Divide both sides by 0.07

[tex]t = \frac{ln3}{0.07}[/tex]

[tex]t = \frac{1.09861228867}{0.07}[/tex]

[tex]t = 15.69[/tex]

[tex]t = 15.7[/tex]

Hence, the time is approximately 15.7 years

Answer: x=68° because this triangle is a isoscele triangle which means that it haves 2 sides that are congruent and equivalent which means they have the same value and sides and are Congruent just means In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The value of angle [x] is equivalent to 44°.

We have a triangle as shown.

We know, the angles opposite to equal sides are equal.

So, we can write -

x + 68° + 68° = 180°

x = 180° - (136°)

x = 44°

Therefore, the value of angle [x] is equivalent to 44°.

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Answer:

Point C because your reflecting and thats the midpoint and can i have brainiest

Step-by-step explanation:

Answer:4(3x +2)

Step-by-step explanation:

The expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each is  4(3x + 2).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The total cost to go horseback riding is a dollar per hour plus a $2 fee for renting a helmet.

Let, The number of hours is represented by 'x'.

Therefore, The cost of riding with a helmet is,

= x + 2.

The cost of riding for 3 hours is 3x + 2 and the cost for 4 people is doing the same is, 4(3x + 2).

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Answer:

divide 19400000 and 51000

answer will be 380.39

Answer:

The selling price  = $36

Step-by-step explanation:

So

Percent Markup on Cost  (M) = 200% of 12

                                                = 200/100 × 12

                                                = 2 × 12

                                                = $24

Thus the selling price  =  Cost (C) + Markup (M)

                                      = $12 + $24

                                      = $36

Therefore, we conclude that:

The selling price  = $36

Answer:

A. 8 3/4

Step-by-step explanation:

2 1/2 x 3 1/2 =

5/2 x 7/2 =

35/4 =

8 3/4

10x - 4y = 5 (if it requires shorten)

Step-by-step explanation:

x + y/5 - 1 = y - x

<=> (5x + y - 1.5)/5 = 5(y - x)/5

<=> 5x + y - 5 = 5y - 5x

<=> 5x + 5x + y - 5y = 5

<=> 10x - 4y = 5

Answer:

The measures of the angles are 16° and 164°.

Step-by-step explanation:

Let the smaller angle be x and the larger angle be 8x+36.

Supplementary angles add up to 180°.

Small angle + Large angle = 180°

x + 8x + 36 = 180

9x + 36 = 180

9x = 180 - 36

    = 144

x = 144 ÷ 9

x = 16

8x+36 = 8(16)+36

           = 164

Answer:

11 ALSO SOMEONE PLS ANSWER MY QUESTION

Step-by-step explanation:

24+24=48

70-48=22

22/2=11

Answer:

1. 50℅

2. 25℅

3. 60℅

hope it helps.

Answer:

Below.

Step-by-step explanation:

1. Divide 15 by 30 which is  1/2.

Then multiply 1/2 by 100 = 50%.

2.  3/12 = 1/4

1/4 * 100 = 25%

3.  6/10 = 0.6

0.6 * 100 = 60%.

Answer:

x is the sidelength of the square;

f(x) = x^(2)

8100 = x^(2)

90 = x

Answer:

A 18

Step-by-step explanation:

f(x) = 4x + 10

f(2) = 4(2) + 10

f(2) = 8 + 10

f(2) = 18

18 money will he make for 2 hours of babysitting work

A relation is a function if it has only One y-value for each x-value.

Given,

function f(x) = 4x + 10

The function models the amount of money Francis makes when babysitting for x hours.

We need to find the money he make for 2 hours of babysitting work.

To find this we just need to plug in x value as 2 in function

f(2)=4(2)+10

=8+10

18

Hence, 18 money will he make for 2 hours of babysitting work

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Answer:

h=416$

Step-by-step explanation:

36.50h+27.50h= 64

64x6 1/2=

416 $

Answer:

416

Step-by-step explanation:

36.50+27.50=64

64*6=384

and then add 32 for the half an hour

384+32=416

Answer:

Its 259.740

Step-by-step explanation:

I used a calculator? Sorry if I dont have the "Remainders"

Answer:

3/4+1/4=4/4=1

1+ 1/2=1 1/2 cups

Step-by-step explanation:

Answer:

9413

Step-by-step explanation:

Given that :

Error = $2 ; Standard deviation (σ) =99 ; α = 95% = 0.95

Zα/2 = Z0. 05/2 = 1.96 (Z probability calculator)...

n = sample size

Recall:

n = ((Zα/2 * σ) / Error)^2

Using the formular above, the sample size n can be obtained ;

n = ((1.96 * 99) / 2)^2

n = 97.02^2

n = 9412.8804

n = 9413

Answer:

c ) 7/3

Step-by-step explanation:

(1/3) + (1/2)

=> [(1×2)/(3×2)] + [(1×3)/(2×3)]

=> (2/6) + (3/6)

=> (5/6)

Answer: I think the answer would be (2, -1)

Step-by-step explanation:

Marie had 160

Josh has 150

Trey has 600

Answer:

i think its j

Step-by-step explanation:

Answer:

4825.49 mm^3

Step-by-step explanation:

V = (pi)(r^2)(h)

(pi)(8^2)(24) = 4825.48632 (round) 4825.49

hopefully this is right i haven't done cylinders in a while lol

Answer:

ok

Step-by-step explanation:

Answer:

For Canada = -0.3953

For Italy = 1.46511

For USA = -1.9069

Step-by-step explanation:

Given:

Mean μ = 29.4 days

Standard deviation σ = 8.6

Missing Data

For

Canada = 26 days

Italy = 42 days

USA = 13 days

Find:

Z scores

Computation:

Z scores = [X-μ]/σ

For Canada

Z scores = [26-29.4]/8.6

Z scores = -0.3953

For Italy

Z scores = [42-29.4]/8.6

Z scores = 1.46511

For USA

Z scores = [13-29.4]/8.6

Z scores = -1.9069

Answer: $287.50

Step-by-step explanation:

Find out how much each ticket costs: 57.50/3= 19.17

Multiply that by 15: 19.7x15=287.5

Answer:

254.47

Step-by-step explanation: