Find the sum of the first 69 terms of the arithmetic sequence.

Mathematics

1 answer:

BartSMP [9]3 years ago

7 0

Answer:

66.4637681159

Step-by-step explanation:

add the 69 numbers and divide by 69 for how many terms there are

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Answer:

Step-by-step explanation:

a^2 + 144^2 = 145^2

a^2 + 20736 = 21025

a^2 = 289

a = sqrt(289)

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Answer:

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Step-by-step explanation:

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The formula of the area of the equilateral triangle:
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The formula of the area of the rectangle:
$A=width\times length=wl\\\\w=3;\ l=6\\\\A=3\cdot6=18$

$T.A.=2A_\Delta+3A\\\\T.A.=2\cdot\dfrac{9\sqrt3}{4}+3\cdot18=\dfrac{9\sqrt3}{2}+54=(54+4.5\sqrt3)\ in^2$
The formula of the volume of the triangular prism:
$V=A_\Delta\cdot l\\\\V=\dfrac{9\sqrt3}{4}\cdot6=\dfrac{9\sqrt3}{2}\cdot3=\dfrac{27\sqrt3}{2}=13.5\sqrt3\ in^3$

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Factor a number, variable, or expression out of 2x2 + 3x

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Answer:

x(2x+3)

Step-by-step explanation:

2x^2+3x=x(2x+3)

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In order to make a table, we sample some x values (whichever we want), and we compute the expression for those value. Each x value will yield a unique y value.

If you need this table to graph the function, you'll only need two points, since this is a line, and having two points you just need to connect them.

Here are some samples, feel free to make more if you need to:

$f(x)=2x+4\implies f(0)=2\cdot 0 + 4 = 4$