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3 years ago

2a - 5d = 30 dove for d

Mathematics

2 answers:

Slav-nsk [51]3 years ago

6 0

I hope this helps you

2a-30= 5d

d=2a-30/5

d=2a/5-6

AfilCa [17]3 years ago

5 0

2a - 5d = 30 solve for d

subtract 2a to both sides

2a - 5d - 2a = 30 - 2a

simplify

-5d = 30 - 2a

divide both sides by -5

-5d/-5 = (30 - 2a) / -5

simplify

d = -6 +0.4a

d = 0.4a - 6

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Find S5 for a geometric series for which a1=81 and r=1/9.

Minchanka [31]

ANSWER

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EXPLANATION

The sum of the first $n$ terms of a geometric sequence is given by;

$S_n=\frac{a_1(1-r^n)}{1-r} ,-1$

Where $n$ , is the number of terms and $a_1$ is the first term.

When $n=5$ , we have $a_1=81$ , we get;

$S_5=\frac{81(1-(\frac{1}{9})^5)}{1-\frac{1}{9}}$

$S_5=\frac{81(1-\frac{1}{59049})}{1-\frac{1}{9}}$

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3 years ago

A group of four boys (Alex, Bryan, Chris, and David) and five girls (Megan, Nancy, Olivia, Pauline, and Rebecc?

aliina [53]

Answer:

a) P = 362880 ways

b) P = 2880 ways

Step-by-step explanation:

a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions

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P = 9!

P = 9*8*7*6*5*4*3*2*1

P = 362880 ways

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P₁ = 4*3*2*1

P₁ = 24

And girls can seat in 5! dfferent ways

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P₂ = 5*4*3*2*1

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To get total ways in the above mentioned condition, we have to multiply P₁*P₂

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LenKa [72]

Answer:

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We have to evaluate the expression Ic² + b²l with unknowns b and c and having the values of b and c respectively - 3 and - 2.

Now, Ic² + b²l

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= I4 + 9l

= I13l

= 13 units.

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natta225 [31]

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anygoal [31]

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Step-by-step explanation:

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