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3 years ago

8/7 ÷ 6/4 Solve the problem (Hint: Simplify before you multiply) *

Mathematics

1 answer:

IgorLugansk [536]3 years ago

6 0

16/21 is the correct answer

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What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

<u>Binomial Series</u>

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

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2 years ago

What is the surface area of the cylinder with height 2 yd and radius 3 yd? Round your answer to the nearest thousandth.

olasank [31]

<h2>Given :</h2>

height (h) = 2 yd

radius (r) = 3 yd

<h2>Solution :</h2>

$\boxed{ \mathrm{Surface \: Area = 2\pi r(h +r )}}$

$2 \times 3.14 \times 3 \times (3 + 2)$

$18.84 \times 5$

$\boxed{\mathrm{94.2 \: yd {}^{2} }}$

_____________________________

$\mathrm{ \#TeeNForeveR}$

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2 years ago

Point a<br> point b<br> point c<br> point d <br> help plzz

Setler [38]

Point D? or A
correct me if im wrong

5 0

2 years ago

Read 2 more answers

Write the equation of the line that is perpendicular to the line 3x + y = 7 and passes through the point (6, -1).

ira [324]

Line:
3x+y=7
y=-3x+7

Slope of Perpendicular Line: 1/3x

For the perpendicular line to contain point (6,-1) the y-intercept would be (0,1), thus the equation of the line would be y=1/3x+1

y=1/3x+1

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3 years ago

The price of 8 -minute phone call is $2.80 What is the price of 18 -minute phone call?

notsponge [240]

Answer:

6.3

Step-by-step explanation:

what you do is divide 8 minutes by 2.80 then multiply that answer by the answer from what you divided.

7 0

3 years ago