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Roman55 [17]
3 years ago
14

I would appreciate if someone can help me. At least the first 3 and 16, 18, 20

Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0
The answer to the questions.

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Write the series using summation notation. Then find the sum of the series.
ivolga24 [154]

Hello, please consider the following.

\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78

For the second we will need to put on the same denominator.

\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...

Thank you.

3 0
3 years ago
Sophia is saving money for a new bicycle. The bicycle will cost at least $623. Sophia makes $8.22 per hour. Which inequality cou
tankabanditka [31]
<span>$8.22h ≥ $623 Let's look at the options and see what works and what doesn't. $8.22h > $623 * This inequality mostly works and it's true. But there may be a better choice later. So let's hold off on this one. $8.22h ≤ $623 * That less than or equal has issues. Let's buy the bike if I have less money than what's needed? Nope, not gonna work. Although that equal portion does have an element of truth to it. But this is a bad choice. $8.22h ≥ $623 * And this third option is better than the first. It simply says that you have to have enough or more money to buy the bike. The 1st equation basically said you have to have more money than the cost of the bike. So this is the correct choice. $8.22h < $623 * This is worse than the 2nd option. In a nutshell, is says buy the bike when you don't have enough money. So bad choice.</span>
7 0
3 years ago
[GEOMETRY] please help, i keep getting 622, thats not one of the answers
Flauer [41]
It is 622 . 622 is 198*3.14
6 0
3 years ago
Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply.
qwelly [4]
<span>FALSE - The domain is all real numbers
TRUE - downward parabola, max-point vertex (-2, 6) So the range is </span><span>{y|y ≤ 6}.</span><span>
TRUE - increases to vertex over the interval (–∞ , –2).
FALSE - The function only decreases from vertex over the interval (−2, ∞).
TRUE - The function has a positive y-intercept. -(0)^2 - 4(0) + 2 = 2 </span>

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=-8%285d-2%29%3D-35" id="TexFormula1" title="-8(5d-2)=-35" alt="-8(5d-2)=-35" align="absmiddle"
notka56 [123]
-8(5d-2)=-35
-40d+16=-35
-40d= -51
D=-51/-40
8 0
3 years ago
Read 2 more answers
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