I WILL GIVE BRAINLIST IF THE ANSWER IS RIGHT
state of these are like terms or a pair of terms

-6x, 10x

3y,6z

1/4k, 0.5k

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:

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:4.5 cups of sugar

Step-by-step explanation:

Okay so 24 cookies is 2 dozen

1 cup of sugar would be used for every 8 cookies

3 dozen is equal to 36 cookies

36/8=4.5 so you would need 4.5 cups of sugar

Given:

The bakers at Healthy Bakery can make 170 bagels in 2 hours.

To find:

How many  bagels can they bake in 14 hours and the rate per hour.

Solution:

We have,

Number of bagels the bakers can bake in 2 hours = 170 bagels

Number of bagels the bakers can bake in 1 hours = [tex]\dfrac{170}{2}[/tex] bagels

                                                                                   = 85 bagels

Therefore, the average rate is 85 bagels per hour.

Number of bagels the bakers can bake in 14 hours = [tex]14\times 85[/tex] bagels

                                                                                    = 1190 bagels

Therefore, the bakers can bake 1190 bagels in 14 hours.

Answer:

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

1+ 1/2=1 1/2 cups

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:

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:

I think that it is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

195.45 in

Step-by-step explanation:

Step one:

given

sphere has a radius of 3.6 centimeters.

Required:

the volume of a sphere

The formula for the volume is

V=4/3πr^3

Step two:

subsituting we have

V=4/3*3.142*3.6^3

v=4/3*3.124*46.65

v= 586.37/3

v=195.457 in

to the nearest hundreth 195.45 in

Question:

A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75º. How high does the ladder reach up the side of the building?

Round to 2 decimal places feet.

Answer:

[tex]H = 31.88[/tex]

Step-by-step explanation:

The question is illustrated using the attachment as a sketch.

We have that

[tex]Ladder = 33ft[/tex]

[tex]\theta = 75[/tex]

Required

Determine how high the ladder is to the building

Represent the length of the ladder with L and how high the ladder is on the building with H.

The relationship between L, H and [tex]\theta[/tex] is"

[tex]Sin\theta = \frac{H}{L}[/tex]

Substitute values for L and [tex]\theta\\[/tex]

[tex]Sin(75) = \frac{H}{33}[/tex]

Make H the subject

[tex]H = 33 * Sin(75)[/tex]

[tex]H = 33 * 0.9660[/tex]

[tex]H = 31.88[/tex]

Hence, the height to which the ladder reaches is approximately 31.88ft

Answer:

divide 19400000 and 51000

answer will be 380.39

Answer:

y=√(x1-x2)^2+(y1-y2)^2

y=√(-3-(-11))^2+(15-0)^2

y=√8^2+15^2

y=√64+225

y=√289

y=17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

x₁ = -3 and x₂ = -11

y₁ = 15 and y₂ = 0

√(-3 - -11)² + (15 - 0)²

√( 8² ) + ( 15² )

17

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

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ6

Answer:

[tex]CF<BC<BF[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\The\ longest\ side\ in\ a\ triangle\ is\ the\ side\ opposite\ to\ the\ largest\ angle.\\Here\ in\ \triangle BCF,\\\angle B=52\\\angle C=65\\\angle F=63 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\As\ we\ can\ observe\ that\ \angle C\ is\ the\ largest\ followed\ be\ \angle\ F\ and\ \angle B. \\BF\ is\ the\ longest side\ followed\ by\ BC\ and\ CF.\\Hence, \\BF>BC>CF\\Or,\\CF<BC<BF[/tex]

Answer:

Step-by-step explanation:

43min=3miles

93min=3*93=279/43

austin will walk 6.488miles for 93 minutes

Answer:

Its 259.740

Step-by-step explanation:

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

Answer:

48

Step-by-step explanation:

The silmutenous equations

2/3x + 1/2y = 56

X=y

Answer: 3x + 3

Step-by-step explanation:

Answer:

2/3 = 6/9

3/5 = 12/20

2/10 = 4/20

1/3 = 2/6

4/6 = 8/12

Answer: 3x + 15

Step-by-step explanation:

In order to use the distributive property, you simply multiply the number on the outside by both the number inside the parenthesis

So, in this case, we would multiply 3 by X and 3 by 5

3 times x = 3x

3 times 5 =15

Your new equation is then made by adding these two together

3x+15

Answer 3x + 15

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:

x is the sidelength of the square;

f(x) = x^(2)

8100 = x^(2)

90 = x

Answer:

RSP~ZXY

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Step-by-step explanation:

Marie had 160

Josh has 150

Trey has 600

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