2 years ago

Simplify: -6-3(5y+4)

Mathematics

2 answers:

bearhunter [10]2 years ago

6 0

It is -35y -2 hope it helps

Reil [10]2 years ago

3 0

-6 - 3(5y + 4)
= - 6 - 15y -12
= -15y - 18

Hope it helped!

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Find S^20 if the series 1 + 1.1 ..... is a (a) arithmetic (b) geometric

quester [9]

I'm guessing S^20 is actually referring to the 20th partial sum $S_{20}$ , with

$S_{20}=1+(1+1\times0.1)+(1+2\times0.1)+\cdots+(1+18\times0.1)+(1+19\times0.1)$

in the arithmetic case, and

$S_{20}=1+1.1+1.1^2+\cdots+1.1^{18}+1.1^{19}$

in the geometric case.

(a) Combining like terms, we have

$S_{20}=20+0.1(1+2+\cdots+18+19)$

and invoking the formula

$1+2+\cdots+(n-1)+n=\dfrac{n(n+1)}2$

we end up with

$S_{20}=20+0.1\dfrac{19\times20}2=39$

(b) Multiply $S_{20}$ by 1.1, then subtract this from $S_{20}$ :

$1.1S_{20}=1.1+1.1^2+1.1^3+\cdots+1.1^{19}+1.1^{20}$

$S_{20}-1.1S_{20}=-0.1S_{20}=1-1.1^{20}$
$\implies S_{20}=\dfrac{1.1^{20}-1}{0.1}\approx57.275$

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3 years ago

Convert meters to nanometers

andriy [413]

1 meter is 1000000000 nanometers

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2 years ago

There are 16 girls I a school club. The number of girls is 4 more than twice the number of boys. Find the number of boys.

olga_2 [115]

6 boys

16-4=12

12/2=6

It's not that hard of a problem you just have to read in-between the lines

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3 years ago

Read 2 more answers

What is the sum of 1/6 and 5/12

torisob [31]

Answer:

7/12

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Answer:

11.31 units

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 8^2 = c^2

64 + 64 = c^2

128 = c^2

Opposite of exponents is square roots, and we need to get rid of that exponent in c^2, meaning we find the square root.

$\sqrt{128\\} \\\\$ = c

c = 11.31 units

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3 years ago