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4 years ago

25 degrees decreased by 60%

Mathematics

1 answer:

Firdavs [7]4 years ago

3 0

25-percent decrease =25-(60%×25%)

25-60%×25

(1-60%)×25=(100%-60%)×25

40%×25=40÷100×25

40×25÷100

1000÷100

10ans

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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).

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

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

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3 years ago

Whats the difference between coplanar and collinear

Sergio [31]

In terms of points, a point that is coplanar is one that lies anywhere on the given plane while a point that is collinear is a point that lies anywhere on the given line.

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3 years ago

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Solve for z: 2+3(z-3) = z+3z+6z

Mademuasel [1]

Steps to solve:

2 + 3(z - 3) = z + 3z + 6z

~Distribute left side and simplify right side

2 + 3z - 9 = 10z

~Simplify left side

3z - 7 = 10z

~Subtract 3z to both sides

-7 = 7z

~Divide 7 to both sides

-1 = z

Best of Luck!

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What is the reciprocal of 5 in fraction

nadezda [96]

Answer:

The reciprocal of 5 is 1/5. Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal. Reciprocals are used when dividing fractions.

Hope this helps have a good day and God bless! <3

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3 years ago

3^-1 ___ 1/4<br>a) =<br>b)<<br>c)>

oksano4ka [1.4K]

$a^{-n}=\dfrac{1}{a^n}\to a^{-1}=\dfrac{1}{a}\\\\3^{-1}=\dfrac{1}{3} > \dfrac{1}{4}$

$Answer:\ c) >$

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