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3 years ago

Which of the following infinite series has a finite sum? Explain your reasoning.

Mathematics

1 answer:

ikadub [295]3 years ago

7 0

Answer:

d. 20+10+5+2.5+...

Step-by-step explanation:

No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.

Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)

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At 106°F, a certain insect chirps at a rate of 67 times per minute, and at 108°F, they chirp 83 times per minute. Write an equat

Step2247 [10]

Answer:

$y=8x-781$

Here, $x$ represents temperature and $y$ denotes rate of chirping per minute.

Step-by-step explanation:

Let $x$ represents temperature and $y$ denotes rate of chirping per minute.

At $106$ °F, a certain insect chirps at a rate of $67$ times per minute.

Take $(x_1,y_1)=(106,67)$

At $108$ °F, they chirp $83$ times per minute.

Take $(x_2,y_2)=(108,83)$

Slope intercept form:

$y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781$

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3 years ago

The scatter plot suggests a relationship between time and the distance from the destination. The equation of the line of best fi

viva [34]

Answer:

Strong Negative

Step-by-step explanation:

We already know that the answer is between c and d because the correlation coefficient negative.

We just have to figure out whether it is strong or weak.

In general, anything between -.7 and -1 is considered to have a strong correlation. -.8 is in between -.7 and -1 therefore the correlation is best described as strong negative.

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2 years ago

Use the figure to answer the following question.

Nana76 [90]

Pretty much anything over 50 is 100

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2 years ago

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa

Nat2105 [25]

Answer:

Step-by-step explanation:

b must not be an even number

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3 years ago

Bob has 60 coins consisting of quarters and dimes. The coins combined value is $13.35. How many quarters and how many dimes does

ddd [48]

60x0.25=15
60x0.10=6
51x0.25=12.75
13.35-12.75
D-6
Q-51

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3 years ago