coefficient of x^3 in the expansions of
(4+x)^4

Answers

Answer 1

Answer:

344064

x

3

Explanation:

There's a quick way to answering questions like this without the need to go through the whole process of finding the terms before the  

x

3

term:

Using the  

n

C

r

button, the value of  

n

represents the expansion power of  

9

and the  

r

would be the term you want to find, so in this case, it would be  

3

.

Therefore, the coefficient of the general  

x

3

term is:

9

C

3

=

84

However, you can only do this if the expansion is in the format of  

(

1

+

x

)

n

.

To find the  

x

3

coefficient for  

(

4

x

)

9

:

(

a

+

x

)

n

=

a

n

+

n

a

n

1

x

+

(

n

(

n

1

)

2

!

)

a

n

2

x

2

+

(

n

(

n

1

)

(

n

2

)

3

!

)

a

n

3

x

3

+

...

...

+

x

n

Step-by-step explanation:


Related Questions

y = 4x+1
3x + 2y = 13

Answers

Answer:

x=1   y=5

Step-by-step explanation:

plug y = 4x+1 into the second equation, so

3x+2(4x+1)=13 and solve

3x+8x+2=13

11x+2=13

11x+2-2=13-2

11x=11

x=1

then plug x=1 into the first equation

y=4(1)+1

y=4+1

y=5

Given that for all values of
6) = 4x+p
x) = x + 1
and f = 12x + 4
where p and are constants
Work out the values of panda

Answers

Answer:

f=−px+8x−2/x

Step-by-step explanation:

its a fraction

State if the three numbers can be measures of the sides of a triangle. 11,6,3

Answers

Answer:

no ..they can't as 6+3 is not greater than 11

Solve for k.
10
1323
3
9
CAN U HELP PLEASE

Answers

Answer:

Step-by-step explanation:

k/9=10/3 multiply both sides by 9

k=90/3

k=30

Answer:

Hello

[tex] \frac{10}{3} = \frac{k}{9} \\ 10 \times 9 = 3k \\3 k = 90 \\ k = 90 \div 3 \\ k = 30[/tex]

hope it helps

Have a nice day

Write a System of Equations to solve the following problem:

The school that Maria goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 12 student tickets for a total of $51. The school took in $93 on the second day by selling 5 senior citizen tickets and 6 student tickets. What is the price each of one senior citizen ticket and one student ticket?

Cost of Senior Citizen Ticket: $

Cost of Student Ticket: $

Answers

Answer:

Cost of Senior Citizen Ticket: $15

Cost of Student Ticket: $3

Step-by-step explanation:

Let the price of a senior citizen ticket be s.

Let the price of a student ticket be t.

Day 1:

s + 12t = 51

Day 2:

5s + 6t = 93

The system of equations is:

s + 12t = 51

5s + 6t = 93

Let's use the substitution method to solve it. Solve the first equation for s.

s = 51 - 12t

Now substitute s in the second equation with 51 - 12t.

5s + 6t = 93

5(51 - 12t) + 6t = 93

255 - 60t + 6t = 93

Subtract 255 from both sides. Combine -60t and 6t.

-54t = -162

Divide both sides by -54.

t = 3

Now substitute 3 for t in the equation

s = 51 - 12t

s = 51 - 12(3)

s = 51 - 36

s = 15

Answer:

Cost of Senior Citizen Ticket: $15

Cost of Student Ticket: $3

I think it’s 2 but just making sure

Answers

Answer:

You are correct the answer is 2

Answer:

yeah it should be 2

Step-by-step explanation:

please help asap......​

Answers

Hey I cannot find
4:44 pm

Jill puts 440 sweets into small bags, medium bags and large bags.

She uses 30 small bags

She uses twice as many medium bags as large bags.

There are no sweets left over.

For the number of bags work out the ratio

small: medium : large *

(4 Points)

20.co

Answers

Answer:

20 is the anwser for this problem

The number of medium bags will be 410 / 3.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that Jill puts 440 sweets into small bags, medium bags and large bags. She uses 30 small bags

The equation can be written as,

L + M + S = 440

L = 2M

2M + M + 30 = 440

3M = 410

M = 410 / 3

Therefore, the number of medium bags will be 410 / 3.

To know more about an expression follow

https://brainly.com/question/15611568

#SPJ5

x is an integer and satisfies the following inequality. 5(x+4)<32 What is the maximum possible value for x?
a.6
b.3
c.2
d.0

Answers

Answer:

c.2

Step-by-step explanation:

5(x+4)<32

5(2+4)<32

10+20<30

hi, timed text please help! ​

Answers

i’m literally bad at rounding but uh for the total volume of both shapes added together its 37.68

what is the sum 0 of 62

Answers

0 + 62 = 62
anything plus 0 stays the same

Find the value of x Round your answer to the nearest tenth.
x
9
15

Answers

Answer 17.5

You take a and b multiple each by its self to find c^2 then find its square root then that’s the answer

i need some help plsss asap

Answers

Answer:

a.8

i hope this is correct??!!

The correct answer is A)

1/3 + a = 5/4 a = ( )



Help plz!

Answers

Answer: a=4/3

Step-by-step explanation:

Answer:

a = 4/3

Step-by-step explanation:

Hope this will help

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    1/3+a-(5/4*a)=0

                 5

Simplify  

                 4

    1                 5

 ( — +  a ) -  ( — • a )  = 0

   3                 4

                 1

Simplify   —

                 3

Solve  :    -3a+4 = 0

Subtract  4  from both sides of the equation :

                     -3a = -4

Multiply both sides of the equation by (-1) :  3a = 4

Divide both sides of the equation by 3:

                    a = 4/3 = 1.333

What is the approximate solution to the system of equations graphed below?

A.(7,-2)
B.(-1.3, 1.9)
C.(1.9,-1.3)
D.(1.8, -0.7)

Answers

Answer:

a

Step-by-step explanation:

pwease i need help
i will give u a crown

Answers

Answer:

9

Step-by-step explanation:

6 ÷ 2(1+2) = ?

Parenthesis first:

6 ÷ 2(3) = ?

Then do the multiplication and division:

3(3) = ?

9 = ?

Solve for x in the diagram below.
x
2x
(x+10)

Answers

The square mark indicates that it is a right angle which is 90 degrees.
x+2x+x+10=90
4x+10=90
-10 -10
4x=80
Divide both sides by 4
x= 20

The angles x°, 2x°, and (x + 10)° are complementary angles. Then the value of the variable x will be 20°.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

The angles x°, 2x°, and (x + 10)° are complementary angles.

Then the sum of the angles x°, 2x°, and (x + 10)° will be 90°.

Then the equation will be

x° + 2x° + (x + 10)° = 90°

Simplify the equation, then the value of x will be

4x + 10 = 90

      4x = 80

        x = 20°

Thus, the value of the variable x will be 20°.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Two vertices of a right triangle have coordinates (3, 7) and (3, 10). The segment that connects these points is a leg of the triangle
Which set of coordinates for the third vertex would create a right triangle?
O (4,4)
O (7,8)
O (8,7)
O (4,8)

Answers

Answer:

8,7

Step-by-step explanation:

i hope this helps!

Find 80.5% of 58. Help

Answers

Answer:

46.69

Step-by-step explanation:

Multiply 58 by .805

Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of$65. How much money was each of bags dog food?

Answers

Each bag of dog food was $7

$7
I am pretty sure the person above is right
65 (amount spent) +5 (coupon amount) is 70 and 70 (total cost) /10 (number of bags bought) is 7, which would be the individual cost

Find the average rate of change over the interval (-1, 2] (x=-1 and x=2).

Answers

Answer:

The internal rate of change over the interval (-1,2) is 1

Find the measure of the angle indicated in bold.
14)
А) 120
C) 115°
B) 100P
D) 140°

Answers

Answer:

115 sirrrrr

Step-by-step explanation:

Which graph best represente y 6x13

Answers

Answer:

B

Step-by-step explanation:

B is most likely to be the answer

1 to 8 plz plz plz help me

Answers

Answer:

1-8 = -7

Step-by-step explanation:

1 - 8

1 0 -1 -2 -3 -4 -5 -6 -7

Use the greatest common factor and the distributive property to write equivalent expressions in factored form.

20g + 24h =

Answers

Answer:

4(5g+6h)

Step-by-step explanation:

May someone please help me out? Just do 1 and I just need steps because I’m unfamiliar with this.

Answers

Answer:

x=5.09

Step-by-step explanation:

Always look at what info they give you, here you have angle, opposite, and adjacent.  The trig function that uses [tex]\frac{opp}{adj}[/tex] is tangent so tan (27) = [tex]\frac{x}{10}[/tex] so

x = 10 tan (27) so x = 10 (.5095254495) [make sure you are in degree mode] so x has to be 5.09

The same goes for question 10, check what you are given [hint: you will need sin probably]....good luck!

The total interest on a 5 year 5.2% loan with a principal of $10,000 is 10,000 × 0.052 × 5 = $2,600.
True or False?

Answers

Answer:

True

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5.2%/100 = 0.052 per year,

then, solving our equation

I = 10000 × 0.052 × 5 = 2600

I = $ 2,600.00

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 5.2% per year

for 5 years is $ 2,600.00.

An angle measures 38° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

One angle is 26 degrees and the other is 64 degrees.

Step-by-step explanation:

Complementary angles add up to a total of 90 degrees. Therefore, if one of the two angles is known to be 38 degrees less, then the other angle can be calculated:

90 = (x-38) + (x)

52 = 2x

26 = x

This means that one of the angles is 26 degrees, and the other is 64 degrees.

what is the proportion of 3 over 7 = n over 28

Answers

Answer:

3/7 is equal to 12/28

Step-by-step explanation:

n equals 12 because 28 divided by 7 is 4. multiply 3 by 4 and get 12.

Answer:

n=12

Step-by-step explanation:

Because 28 divided by 7= 4 so you have to do the same on the top and 3*4=12

WILL MARK BRAINLIEST NEED ANSWER ASAP

Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
How old is Daniel now?

Answers

Answer:

Kevin's age = 24

Daniel's age = 8

Step-by-step explanation:

Just trust lol

Answer:

Kevin = 24

Daniel = 8

Step-by-step explanation:

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