what is the binomial expansion of (x+1)^5​

What Is The Binomial Expansion Of (x+1)^5

Answers

Answer 1

Answer: "A"

somewhat of a trick question

use pascals triangle (or binomial expansion)

0-1

1-1,1

21,2,1

3- 1,3,3,1

4- 1,4,6,4,1

5- 1,5,10,10,5,1

NOTICE THAT "A" has the 1,5,10,10,5,1  in the 5th row

Step-by-step explanation:


Related Questions

Reflect A(-2,4), B(3,-5), C(2, 1) over the x-axis.

Answers

Answer:

When you reflect over the x axis, you change all the y values to their opposites (switch the sign)

Step-by-step explanation:

Reflecting on X-axis we get,
i.e P (x,y) P’(x,-y)

A(-2,4). A(-2,-4)
B(3,-5). B(3, 5)
C(2,1). C(2,-1)

what is 65 divded by 487

Answers

Answer:

0.13347022587

Step-by-step explanation:

Answer:

7 R 32

Step-by-step explanation:

   0 0 7

6 5 4 8 7

 − 0    

   4 8  

 −   0  

   4 8 7

 − 4 5 5

     3 2

Which of the following is a property of all rhombi? O A. They have 4 right angles. B. The diagonals are congruent. O C. All 4 sides are congruent. D. They contain 4 right angles.​

Answers

Step-by-step explanation:

the diagonals are congruent

B. The diagonals are congruent

The volume (v) of water stored in an open tank varies due to evaporation as v=x^4-50x^2+700 where v is expressed in gallons and x is number of months elapsed. If January correspond to x=0 what will the volume of water (in gallons) in the tank be in june
A.700
B.1200
C.75
D.100

Answers

Answer:

C) 75

Step-by-step explanation:

If January corresponds to x=0 then June corresponds to x=5.

Knowing this we can replace all values of x with 5.

[tex]v=x^4-50x^2+700[/tex]

[tex]v=5^4-50(5)^2+700[/tex]

[tex]v=625-1250+700[/tex]

[tex]v=75[/tex]

Which expressions are equivalent to 8(-10x+3.5y-7) Select two options

Negative 80 x + 24.5 y minus 56
Negative 80 x + 28 y minus 56
80 x + 28 y + 56
4 (negative 20 x + 7 y minus 14)
Negative 4 (negative 20 x + 7 y minus 14)

Answers

Answer:

Negative 80 x + 28 y minus 56

4 (negative 20 x + 7 y minus 14)

* please help*
What are the solutions of equation (x — 2)^2 = -3x + 6
Select all that apply.
A X= -3
B. X= -2
C. X= -1
D. x= 3
E. x= 1
F. X= 0
G. X= 2

Answers

Answer:

C and G

Step-by-step explanation:

Given

(x - 2)² = - 3x + 6 ← expand left side using FOIL

x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2 → G

x + 1 = 0 ⇒ x = - 1 → C

worth 11 points and actually help me instead of taking the points plz

Answers

Answer:

C'(-1,1)

Step-by-step explanation:

The coordinates of C are (-2,4).

The translation is (x+1,y-3), so we take the x value -2 and the y value 4 and plug it in.

(-2+1,4-3)

=(-1,1)

C' has the coordinates (-1,1)

Answer:

Its ([-1],[1])

Step-by-step explanation:

By (x+1, y-3), the trapezoid wll move 1 point to the right, and 3 points down.

Sora paid $26.46 for 8.4 gallons of gasoline. How much was each gallon of gasoline?
$0.211
$0.315
$2.11
$3.15

Answers

Answer:

last one

Step-by-step explanation:

The answer is $3.15 I got this by dividing 26.46 by 8.4

the difference of 15 and 7 divided by 2

Answers

The answer is four. 15-7=8/2=4

What is the average rate of change of the function f(x)=2x^2+x+5 over the interval -2<x<2?
A. -4
B. -1
C. 1
D. 4​

Answers

D 1 is the correct answers

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, 2 ] , then

f(b) = f(2) = 2(2)² + 2 + 5 = 8 + 2 + 5 = 15

f(a) = f(- 2) = 2(- 2)² + (- 2) + 5 = 8 - 2 + 5 = 11 , then

average rate of change = [tex]\frac{15-11}{2-(-2)}[/tex] = [tex]\frac{4}{4}[/tex] = 1 → C

Given the system of equations.
{-4x+y = 3
{2x - y = 12
Which of the options represents the resulting equation after an equivalent expression for y ls substituted into the
second equation.
2x - (4 X+3) = 12
-4(4y+)+y=3
2 (4x+3) - y
-4x+4 x-3=3

Answers

Answer:

A. 2x - (4x + 3) = 12

Step-by-step explanation:

A. 2x - (4x + 3) = 12

B. -4(4y+)+y=3

C. 2 (4x+3) - y

D. -4x+4 x-3=3

Given equation:

-4x+y = 3. (1)

2x - y = 12. (2)

From (1)

y = 3 + 4x

Substitute y = 3 + 4x into (2)

2x - y = 12 (2)

2x - (3 + 4x) = 12

Or

2x - (4x + 3) = 12

2x - 4x - 3 = 12

- 2x = 12 + 3

- 2x = 15

x = 15/-2

x = -7.5

Substitute x = -7.5 into (1)

-4x+y = 3 (1)

-4(-7.5) + y = 3

30 + y = 3

y = 3 - 30

y = -27

Please help me answer this

Answers

C sosksnsnsizjsnksisjbddn

2. The sum of k and 10 is 48

Answers

Answer:

k=38

Step-by-step explanation:

38+10=48

PLEASE HELP! Which is not a mathematical sentence?

A. 8 + 7 = 15

B. k+ 2<6

C. n+ 19

D. 222

Answers

Answer:

D

Step-by-step explanation:

its just rabdom numbers

Answer:

D thats just a number no sequence or any thing

Step-by-step explanation:

Pls help me with this!

Answers

Answer:

Your answer would be X ≥ -3

Step-by-step explanation:

CAN SOMEONE HELP ME WITH THIS PLEAS AND THANK YOU.
I DO NOT KNOW HOW TO DO THIS ONE WHEN YOU KNOW HOW TO DO IT I WILL DO IT ON MY OWN MABY.

Answers

Answer:8 7/12
Explanation 51/-25/6

Answer:

2 and 2/6ths

SBSE:

1. multiply the denominators together (in this case, 24)

2. multiply each numerator by the denominators

3. reduce the 5 to four, making 4/24ths into 28/24ths

4. subtract the fractions and whole numbers.

pls help i will give brainliest

Answers

Answer:

XOC = 60

Step-by-step explanation:

AOC = DOB because they are vertical angles

AOX+XOC = 25+45

10+XOC = 70

XOC = 70-10

XOC = 60


"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."

Answers

Answer:

Step-by-step explanation:

An investment of 100,000 AED increases at a rate of 16% per year. What is
the value of the investment after 20 years? Give your answer to 2 decimal
places

Answers

Answer:

1,946,075.95 AED

Step-by-step explanation:

Firstly, we write the general formula for an exponential increase as follows;

V(t) = A( 1 + r)^t

where V(t) is the value after some number of years t

A is the investment amount which is 100,000 AED

r is the rate of increase which is 16% = 16/100 = 0.16

t is the number of years which is 20

substituting these values;

V(20) = 100,000( 1 + 0.16)^20

V(20) = 100,000(1.16)^20

V(20) = 1,946,075.95 AED

does anyone know how to solve this?

Answers

Answer:

[tex]x=360[/tex]

Step-by-step explanation:

The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,

[tex]m<MON = MN\\[/tex]

Substitute,

[tex]x=2\pi[/tex]

However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,

[tex]degree=\frac{\pi}{180}radians[/tex]

Substitute,

[tex]degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\[/tex]

Simplify,

[tex]degree=\frac{180*(2\pi)}{\pi}\\degree=360[/tex]

Answer:

x = 45°

Step-by-step explanation:

Given arc length = 2π cm

         Radius, r = 8 cm

      [tex]Arc \ Length = 2 \pi r (\frac{x}{360})[/tex]

             [tex]2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ[/tex]

1. Brad invested $2,300 in a corporate bond
that pays 14% interest compounded
continuously. How long will it take
Brad's investment to triple?

Answers

Given:

Principal value = $2300

Rate of interest = 14% compounded continuously.

To find:

The time taken by Brad's investment to triple.

Solution:

The formula for amount after the compound interest (Continuously) is:

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

Where, P is the principal, r is the rate of interest in decimal and t is the time period.

Triple of Brad's investment is

[tex]3\times \$ 2300=\$ 6900[/tex]

Substituting [tex]A=6900,P=2300\ r=0.14[/tex], we get

[tex]6900=2300e^{0.14t}[/tex]

[tex]\dfrac{6900}{2300}=e^{0.14t}[/tex]

[tex]3=e^{0.14t}[/tex]

Taking natural log on both sides, we get

[tex]\ln 3=\ln e^{0.14t}[/tex]

[tex]1.0986=0.14t[/tex]                [tex][\because \ln e^x=x][/tex]

[tex]\dfrac{1.0986}{0.14}=t[/tex]

[tex]7.84714=t[/tex]

After approximating the value, we get

[tex]t\approx 7.85[/tex]

Therefore, Brad's investment will take 7.85 years to triple.

simplify  ( √ 5 ) ( 3 √ 5 )

Answers

Answer:

( √ 5 ) ( √ 5 ) 3

5*3

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

( √ 5 ) x ( 3 √ 5 )

=> 3  ( √ 5 x √5)

=> 3 x ( √25)

=> 3 x 5

=> 15

If 2 tan x/ 1- tan^2 x=1, then x can equal:

Answers

Answer: x=pi/8+npi    and x=5pi/8+npi

Step-by-step explanation:

how to solve 3^8 times 3^2

Answers

8x8x8x6= 3,072 ? if i remember doing that right ig lol

Answer:

3072 that what I known as a 10th grader

Please help me with this.​

Answers

9514 1404 393

Answer:

  A, C, D, G

Step-by-step explanation:

The independent variable is plotted on the horizontal axis. If you want to find out what it is, read the axis label.

The dependent variable is plotted on the vertical axis. If you want to find out what it is, read the axis label.

To find the distance from home at some time, look up that time on the horizontal axis, and read the corresponding distance value from the graph. The maximum distance from home is the peak value of the graph.

"Stopping" means that distance doesn't change, even while time continues to increase. The curve is horizontal where the person is stopped.

What is the first step in solving the quadratic equation -5x2+8=133

Answers

Answer:

subtracting 8 from both sides of the equation

Step-by-step explanation:

You have to get rid of +8 before squaring both sides.

Help please guys if you don’t mind

Answers

Answer:

220 people per year.

that is the answer

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Answers

Answer:

[tex]x =5\sqrt 3[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we make use of Pythagoras theorem

[tex]x^2 + 5^2 = 10^2[/tex]

Solve the exponents

[tex]x^2 + 25 = 100[/tex]

Collect like terms

[tex]x^2 =- 25 + 100[/tex]

[tex]x^2 =75[/tex]

Take square roots

[tex]x =\sqrt{75[/tex]

Expand

[tex]x =\sqrt{25*3[/tex]

Split

[tex]x =\sqrt{25}*\sqrt 3[/tex]

[tex]x =5\sqrt 3[/tex]

if (P-3) is the largest of for odd number then the smallest is
A p-11
B p-9
C. p+3
D. p+5

Answers

ensalada no son vulgares

What am I doing wrong? I've tried every conceivable answer, I thought I knew this type of math well, but this program keeps telling me I'm wrong.

Answers

Answer:

15.0 units

Step-by-step explanation:

Here, we want to get the distance between the two points as follows;

CD = √(x2-x1)^2 + (y2-y1)^2

So we have;

CD = √(7+8)^2 + (-5+4)^2

CD = √225+ 1 =

CD = √(226

CD = 15.0 units

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