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Bezzdna [24]
3 years ago
15

A line has a slope -5/3. Through which two points could this line pass.

Mathematics
2 answers:
Alex17521 [72]3 years ago
7 0
The answer will be D. Hope it help!
ValentinkaMS [17]3 years ago
3 0
B is the answer for your question
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Which equation could be used to calculate the sum of the geometric series?
Greeley [361]

\dfrac{1}{3}+\dfrac{2}{9}+\dfrac{4}{27}+\dfrac{8}{81}+\dfrac{16}{243} = \\ \\\\ = \sum\limits_{k=1}^{5}\dfrac{2^{k-1}}{3^k} = \sum\limits_{k=1}^{5}\dfrac{2^{k}}{2\cdot 3^k} = \dfrac{1}{2}\cdot \sum\limits_{k=1}^{5}\dfrac{2^{k}}{3^k} = \\ \\\\ = \dfrac{1}{2}\cdot \sum\limits_{k=1}^{5}\Big(\dfrac{2}{3}\Big)^k = \dfrac{1}{2}\cdot \left[\Big(\dfrac{2}{3}\Big)^1+\Big(\dfrac{2}{3}\Big)^2+...+\Big(\dfrac{2}{3}\Big)^5\right] =

= \dfrac{1}{2}\cdot \dfrac{\dfrac{2}{3}\cdot\left[\Big(\dfrac{2}{3}\Big)^5-1\right]}{\dfrac{2}{3}-1} =-\Big(\dfrac{2}{3}\Big)^{5}+1 = \dfrac{-2^5+3^5}{3^5} = \boxed{\dfrac{211}{243}}

\text{I used the geometric series formula for sum: }S_n = \dfrac{b_1\cdot (q^n - 1)}{q-1}

3 0
3 years ago
Solve for x. <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B8%7D%20" id="TexFormu
Alja [10]
This is proportion,
so general rule is&#10; \frac{a}{b} = \frac{c}{d} , &#10;\\ \\ a = \frac{bc}{d} , &#10;\\ \\ x= \frac{3*5}{8} =1.875&#10;&#10;&#10;
8 0
3 years ago
What is the average rate of change in weight of the plankton<br> from week 8 to week 12?
vivado [14]

Answer:

um i don't know figure it out

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Math help pls<br> giving brainly
Inessa05 [86]

Answer:

C

Step-by-step explanation:

We are given 5 negative values plus 0. Keep in mind that 0 is not positive or negative. A non-positive integer is any negative number plus zero which the set follows. C is the only logical answer. A is incorrect because a negative number cannot be a whole number. B is incorrect because while we have negative values, we also have 0 and as stated previously, its not a negative or positive value. D is also incorrect because a non-negative integer is any positive value and zero but again, we don't have any positive values.

Best of Luck!

8 0
3 years ago
Read 2 more answers
A boat rental company offers two different rental packages. The first rental package costs $45, plus $29.50 per hour. The second
vampirchik [111]

Answer:

1.6 hr

Step-by-step explanation:

1st rental package: y = 29.50x + 45

2nd rental package: y = 0.70x + 90

Set the equation equal to each other;

29.50x + 45 = 0.70x + 90

Subtract 0.70x from both sides;

28.8x + 45 = 90

Subtract 45 from both sides;

28.8x = 45

Divide both sides by 28.8

x = 1.5625 ≈ 1.6

8 0
3 years ago
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