All categories

3 years ago

Urgent!

Mathematics

1 answer:

Doss [256]3 years ago

7 0

Answer:

${(1 - 2x)}^{p} = 1 + ( - 2x)p + \frac{1}{2!} p(p - 1) {( - 2x)}^{2} + ... \\ \frac{4}{2!} p(p - 1) = 40 \\ p(p - 1) = 20 \\ {p}^{2} - p = 20 \\ {p}^{2} - p - 20 = 0\\ ( p - 5)(p + 4) = 0\\ p = 5 \: or \: p = - 4 \\ \because \: p > 0 \\ \therefore \: p = 5$ Apply the binomial expansion...

You might be interested in

Mops

Ipatiy [6.2K]

Answer:

270

Step-by-step explanation:

For any arithmetic sequence

nth term is given by

nth term = a + (n-1)d

where a is first term,

d is common difference

d is given by nth term - (n-1)th term

sum of n terms given by

sum = n/2(2a + (n-1)d)

________________________________________________

Given arithmetic sequence

-2,0,2,4,6,8...

first term a = -2

lets take third term as nth term and second term as (n-1)th term to find common difference d.

d = 2 - 0 = 2

using a = -2 , d = 2, n = 18

thus, sum of first 18 terms = n/2(2a + (n-1)d)

=18/2( 2*(-2) + (18-1) 2)

=9 ( -4 + 34)

=9 ( 30) = 270

Thus, sum of first 18 terms is 270.

7 0

3 years ago

Two Families went to Rollercoaster World. The Brown Family paid $170 for 3 children and 2 adults. The Peckham Family paid $360 f

Lisa [10]

Answer:

The system of equations are;

3x + 2y = 170

4x +6y = 360

Step-by-step explanation:

Form simultaneous equations and solve

Let x=price of children tickets

Let y=price of adult tickets

The Brown Family paid $170 for 3 children and 2 adults , this forms the equation as:

3x + 2y =$ 170

3x + 2y = 170 --------------------------equation (i)

The Peckham Family paid $360 for 4 children and 6 adults.

4x + 6y = $360

4x +6y = 360 ---------------------------equation (ii)

Solving the equations by graph will give value of x=30 and y=40

The price of children tickets was $30 and that of adults was $40

8 0

4 years ago

A bag contains 12 red marbles, four black marbles, four purple marbles, and two pink marbles. What is the probability of selecti

JulsSmile [24]

Answer:

4/22 chance of getting a black marble.

Step-by-step explanation:

3 0

3 years ago

Find the distance between the pair of points: (2,3) and (-5, -3).<br><br>distance = ?

Snowcat [4.5K]

Answer:

9.219544457292887

Step-by-step explanation:

Use distance formula

√(−5−2)^2+(−3−3)^2

√(−7)^2+(−6)^2

√49+36

√85

√≈9.219544457292887

Hoped this helped!

: )

3 0

3 years ago

Fred had 72 special edition baseball cards. Fred gave away x of the cards. Write an expression that shows the number of baseball

k0ka [10]

Remaining cards = 72 - x

5 0

3 years ago