Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7

Answers

Answer 1

Answer:

2835x^5.

Step-by-step explanation:

By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.

Term 5 = 7C4 * x^5 * 3^4

= 35 * x^5 * 3^4

= 2835x^5.


Related Questions

Suppose you charge $4.50/h for baby-sitting. How much will you earn baby-sitting for 3 1/2 hours?

Answers

Answer:

You will earn $15.75, $13.50, or $18 depending on how you are getting paid

Step-by-step explanation:

If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75

If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.

If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total

You buy one shirt for $22 and two pairs of shorts. Your total cost is $56. Assuming both pairs of shorts cost the same amount, what is the price of one pair of shorts? What is the correct equation and solution for this problem? A. 2 x - $22 = $56; x = $34 B. 2 x + $22 = $56; x = $34 C. 2 x + $22 = $56; x = $17 D. 2 x - $22 = $56; x = $17

Answers

Answer:

B. 2x + $22 = $56 ; x = $17

Step-by-step explanation:

Assuming a pair of short is accounted for by the variable x.

Your total cost is $56. This means that your expression will equal 56:

________________ = 56

Next, you buy 1 shirt (denoted by s) for $22.

s = $22

You buy 2 pairs of pants. The cost is not given, so it can vary. Give it a variable. The answers denote it as x. As you are buying two pairs of pants, multiply 2 with x:

2 * x = 2x.

Combine the terms and plug it into the equation:

2x + 22 = 56

Next, solve for x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Remember,  PEMDAS is the order of operation, &

PEMDAS =

Parenthesis

Exponents & Roots

Multiplication

Division

Addition

Subtraction

First subtract 22 from both sides:

2x + 22 (-22) = 56 (-22)

2x = 56 - 22

2x = 34

Next, divide 2 from both sides:

(2x)/2 = (34)/2

x = 34/2

x = $17

B. 2x + $22 = $56 ; x = $17 is your answer.

~

Answer:

B. 2x + $22 = $56 ; x = $17

Step-by-step explanation:

Which statement is false?

Answers

I believe that your answer is C. Not ALL rational numbers are integers.

Which fraction is equivalent to a repeating decimal? A)3/11 B)3/4 C) 3/8 D) 3/5

Answers

Answer:

3/11.

Step-by-step explanation:

3/11 = 0.2727272727....

What is the slope of the line that passes through (-5,4) and (-1,8)

Answers

Answer:

1

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( 8-4)/( -1 --5)

   = 4/( -1+5)

   = 4/4

   =1

You need the slope, so start with the slope formula.

slope = y₂ - y₁ / x₂ - x₁

Substitute (-5, 4) for (x₁, y₁) and (-1, 8) for (x₂, y₂).

So we have 8 - 4 / -1 - -5.

Simplify to find the answer.

So we have 4/4 which is 1.

At the start of summer Ben has $250. He takes summer job
and saves $ 150 per week. Tim has $ 1,650 at the start of
summer, he travels and spends $ 200 per week. At the end of
which week do Ben and Tim have the same amount of money ?

Answers

Answer:

week 4

Step-by-step explanation:

With Ben saving up $150 every week, he'll have $850 by week 4 because, $150 times 4 is $600, plus the $250 that he started with equals $850. Tim will also have $850 by week 4 because $200 times 4 equals $800. $800 minus the $1650 that he started off with equals $850.

Which of the following is a statistical question
A. How many times did you buy school lunch last week?

B. How many days were in last montha

C. Is your favorite number between 0 and 102

D. What is the area of a l-inch x l-inch sticky note​

Answers

Answer:

its d because who askes that question

Solve the system by substitution.
- 8x + y = -32
- 3x – 10 = y
(,)

Answers

Answer:

[tex]x=2,\:y=-16[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\[/tex]

[tex]-\frac{-32-\left(-16\right)}{8}=2\\x=2\\x=2,\:y=-16[/tex]

Answer:

x = 2

y = -16

Step-by-step explanation:

Substitute value of y, -3x - 10 in the equation-8x + y = -32

-8x + (-3x - 10) = -32

-8x - 3x - 10 = -32

-11x - 10 = -32

-11x = -32 + 10

-11x = -22

Divide both sides by coefficient of x which is -11

x = 2

Substitute value of x, 2, in the equation-3x - 10 = y

(-3)2 - 10 = y

-6 - 10 = y

y = -16

Which sentence is correct? A. B. C. D.

Answers

Answer:

what do you mean what sentence is correct give a picture

Answer:a

Step-by-step explanation:

Can y’all help me my time is almost over I need this ASAP and I’ll give brainliest

Answers

Answer:

Based on the question. D, would make the most sense.

WILL GIVE BRANLIEST ANSWER ASAP
3(x + 7) = 3x + 21 is an example of which property?
Associative Property
Identity Property
Distributive Property
Commutative Property

Answers

Answer:

Identity property

Step-by-step explanation:

Which inequality shows a correct relationship? A 0.203 > 0.085 B 0.870 < 0.706 C 0.374 > 3.740 D 0.725 ​

Answers

Answer:

The answer is A (0.203 > 0.085)

This answer is A (0.203 > 0.085)

Two cars, which are 210 miles apart, drive towards
each other at constant speeds. The speed of the
second car is 20 miles per hour faster than the first car.The cars pass each other in 1 1/2 hours. What is the speed of both cars?

Answers

Answer:

slower car=60 miles/hr

faster car =80 miles/hr

Step-by-step explanation:

the speed of slower car =x

the speed of faster car=x+20

they both 210 miles apart

(x+x+20)*(1 1/2 )=210

(2x+20)(3/2)=210

3x+30=210

3x=210-30

3x=180

x=180/3 ⇒ x=60

x+20 ⇒ 60+20=80

Hurry plzzzzzz !!!!!!!

Answers

The answer is 6 because 5(3) = 15 and 3^2 = 9 and 15-9 =6
3(5) - 3^2
15-9
6
The answer is 6

What’s the answer ?

Answers

Answer:

24

Step-by-step explanation:

write in standard form y=-3x+4 through (0,-1)

Answers

Y= -3x +4
So from the equation we can tell that m is 3 .

(0,-1)
(x, y)

0 = x
-1 = y

M = 3

Y = mx+ c
Just insert it
-1 = 3(0) + c
-1 = c

So thts mean the answe is y = 3x-1

What is 39,040,000 expressed in scientific notation

Answers

The scientific notation answer is 3.904 x 10^7

Answer:

39.04 x 10 to the power of 7

Step-by-step explanation:

probably wrong but ok :)

GEOMERTY QUESTIONS!!!!!!!!!

Answers

Answer: The answer to the first question is C. The answer to the second question is A.

the first one is C and the second is A

Plz help me Much appreciated.

Answers

Slope is -12 and the form is y=Mx+b

The first term of an arithmetic sequence is -2. The eighth term of the sequence is 26. What is the common difference of the arithmetic sequence?

Answers

Answer:

d = 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁ = - 2 and a₈ = 26 , then

- 2 + 7d = 26 ( add 2 to both sides (

7d = 28 ( divide both sides by 7 )

d = 4

Answer:

d = 4

Step-by-step explanation:

a₁ = -2

a₈ = aₙ = 26

n = 8

aₙ = a₁ + d(n-1)

d = aₙ - a₁ / (n-1)

d = 26 -(-2) / (8-1)

d = 26 + 2 / 7

d = 28 / 7

d = 4

-2

-2 + 4 = 2

2 + 4 = 6

6 + 4 = 10

10 + 4 = 14

14 + 4 = 18

18 + 4 = 22

22 + 4 = 26

Zero can be classified as all of the following except which? A. Whole B. Rational C. Integer D. Natural

Answers

Answer:

Zero can be classified as a: Whole number, Rational number, and integer.

Step-by-step explanation:

Zero cannot be classified as a natural number because it does not have a positive or negative value.

I hope this helps! Good luck!

Zero is not classified as a D. Natural number

Zero can be quite complicated to place when it comes to numbers but it is generally agreed that zero is:

a whole number and is the smallest one an integer because it is a whole number a rational number because it is an integer

There is however some contention about whether zero is a natural number but most mathematicians have conclusively stated that zero is not a natural number.

Find out more at https://brainly.com/question/14751537.

A cable company charges $95 for installation plus $45 per month. If you paid $455 over a period of time, how many months did you use that cable company?

Answers

Answer: 8 months

Step-by-step explanation:

m= number of months

45m+95=455

minus 95 over

45m=360

divide by 45

m=8

Please help !!!!!!!!!!!!!

Answers

Answer:

with what part of the question be more specific

Simplify :
............ ​

Answers

Answer:

?sjsjssnsk.aia.

iwkq.qnw w.1kp1p1la

ama zz

anmpq0qq

A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec^2. What is the mass of the object?

Answers

Answer:  50 kg

======================================================

Work Shown:

F = ma

250 = m*5

250/5 = m

50 = m

m = 50

The mass of the object is 50 kg

Kamal and Anand each Lent the same sum of money for 2 years at 5 percent at simple interest and compound interest respectively. Anand received RS.15 more than Kamal.Find the amount of money lent by each and interest received

Answers

Answer:

amount lent: ₹6000interest received: Kamal, ₹600; Anand, ₹615.

Step-by-step explanation:

For principal P invested at simple interest rate r, the returned value in t years is ...

  A = P(1 +rt)

If K is Kamal's returned value, the given numbers tell us ...

  K = P(1 +0.05·2) = 1.1P

__

For principal P invested at compound interest rate r, with interest compounded annually for t years, the returned value is ...

  A = P(1 +r)^t

If A is Anand's returned value, the given numbers tell us ...

  A = P(1.05)² = 1.1025P

This latter amount is RS.15 more than the former one, so we have ...

  1.1025P = 1.1P +15

  0.0025P = 15 . . . . . . . . subtract 1.1P

  P = 6000 . . . . . . . . . . . divide by 0.0025 . . . .  the amount lent

Kamal received 1.1P -P = 0.1P = 600 on the investment.

Each lent ₹6000. Kamal received ₹600 in interest; Anand received ₹615 in interest.

If 9^x = 3^( 1-2x), then x =

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

I used a calculator and it's correct!

Plz click the Thanks button!

<Jayla>

Question one, how do you solve this? "A, B, and C are collinear. Find AC if AB = 12 and BC = 8"

Question two, can anyone solve these two problems i attached? They use Segment Addition and Angle Addition Postulates.

Answers

Answer:

20''

Step-by-step explanation:

If points A, B and C are collinear, then A, B and C lies on the same straight line. Hence AB+BC = AC

Given

AB = 12''

BC = 8''

To get length od segment AC, we will substitute the given values into the formula above as shown;

AB+BC = AC

12 + 8 =AC

AC = 12+ 8

AC = 20''

Hence the length of AC is 20''

x -22 = 30 what is x

Answers

Answer:

x=52

Step-by-step explanation:

x=30+22

x=52

Answer:

Move all terms not containing  

X

to the right side of the equation.

X = 52

Kyra and James each drowa
representation of the relationship between
rotond (A) and irrotond (B) number
shown below
KYRA
JAMES
WALN UMRERS REL NUMBERS
B
B
Whose do you agree with, and why?

Answers

Answer:

Kyra is correct.

Step-by-step explanation:

Rational numbers;

All numbers which can be written in the form of [tex]\frac{p}{q}[/tex] are rational numbers.

Example: 1, 2, [tex]\frac{1}{2}[/tex], 1.414141....

Irrational numbers:

Numbers which are not in the form of [tex]\frac{p}{q}[/tex] are irrational.

Example: 1.234, π, √2

So rational and irrational numbers are two separate things.

But all positive and negative numbers are real numbers.

Real numbers may be rational or irrational both.

Therefore, Kyra's interpretation is correct.  

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