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3 years ago

What is the common difference of the following sequence: -6, -2, 2, 6

Mathematics

1 answer:

o-na [289]3 years ago

8 0

Answer:

Step-by-step explanation:

Subtract a number from the number after it.

6 - 2 = 4

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$475 to 25 hours<br> per hour?

azamat

Answer:

$19 per hour

Step-by-step explanation:

475/25 = 19

7 0

3 years ago

Using the pattern, give the coefficients of (x + y)^5 and (x + y)^6

musickatia [10]

Answer:

$(x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5$

$(x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6$

Step-by-step explanation:

In order to find the values of $(x+y)^5$ and $(x+y)^6$ , you need to apply the binomial theorem (high-level math you most likely don't need to worry about, it's easier than multiplying all the binomials together).

$(x+y)^5$ = $\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i$ = $\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5$ = $x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5$ .

$(x+y)^6$ = $\sum _{i=0}^6\binom{6}{i}x^{\left(6-i\right)}y^i$ = $\frac{6!}{0!\left(6-0\right)!}x^6y^0+\frac{6!}{1!\left(6-1\right)!}x^5y^1+\frac{6!}{2!\left(6-2\right)!}x^4y^2+\frac{6!}{3!\left(6-3\right)!}x^3y^3+\frac{6!}{4!\left(6-4\right)!}x^2y^4+\frac{6!}{5!\left(6-5\right)!}x^1y^5+\frac{6!}{6!\left(6-6\right)!}x^0y^6$ = $x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6$ .

5 0

3 years ago

Mia had 5000 In the bank. She keeps the money in the bank for 4 years at 5% interest. How much interest did she earn?

viktelen [127]

Simple interest formula:
Interest = P*R*N

P = principle amount
R = interest rate (in decimal)
N = number of time periods (in years)

Interest = 5000*0.05*4 = $1000

4 0

2 years ago

Jazzie runs 5 miles each day.How many days will it take her to jog 57 miles?

kodGreya [7K]

Answer:

It will take her 11.4 days, or 12 whole days to jog 57 miles

Step-by-step explanation:

1 day = 5 miles

? days = 57 miles

57/5 = 11.4 days

4 0

3 years ago

Read 2 more answers

A chef prepared 100 plates of shrimp. There were 8 shrimp on each plate. How many shrimp did the chef prepare?

soldier1979 [14.2K]

Answer:

800 shrimp

Step-by-step explanation:

100 plates of shrimp

8 shrimp on each plate

100 × 8 = 800

= 800 shrimp were prepared by the chef

Hope this helps.

5 0

2 years ago