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dolphi86 [110]
3 years ago
9

1 /4, 4/9,9/16,16/25,... please find the next two terms, nth term and 10th term of the given sequence​.​

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Answer:

See below in bold.

Step-by-step explanation:

Note that the numerators are the squares of 1, 2 3, 4 ...... and the denominators are the squares of 2, 3, 4, 5.....

The next 2 terms are 25/36 and 36/49.

The nth term is n^2 / (n + 1)^2    where n is the sequence number.

The 10th term is 10^2 / 11^2

= 100/121.

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Iel travels 400 miles in 8 hours. What is her rate of change or speed? A) 40 miles per hour B) 50 miles per hour C) 55 miles per
kupik [55]
The speed is 400/8=50mph
3 0
3 years ago
Ian owns a small business selling used books. He knows that in the last week 19
Softa [21]

Step-by-step explanation:

last week there were 19+30+77 = 126 customers.

19/126 = 1/14 paid cash.

30/126 = 5/21 paid by debit card.

77/126 = 11/18 paid by credit card.

next week he expects 1800 customers.

that is compared to 126 a factor of

1800/126 = 300/21 = 100/7

now we actually only need to apply the same factor to any part of the total sum to get their share in the new total sum.

it simply follows the rule

(a + b + c) × d = ad + bd + cd

so,

77 × 100/7 = 11 × 100 = 1100 customers are expected to pay per credit card.

5 0
2 years ago
Due tomarrow please help!!!!!!!!!!!!!!!!!!!!!!!!!  Identify the independent and dependent variables in the following statement.
BlackZzzverrR [31]
The independent variable is the variable that is being changed. In this statement, it would be water flowing flowing in the pool. The dependent variable is what is being changed so that would be the depth of the water.

There, I hope this helps! :)

6 0
3 years ago
I will mark brainiest whoever answers this correctly
Paladinen [302]

Answer:

k = 3.9

Step-by-step explanation:

Since the three possible outcomes are given. Therefore, the sum of all the probabilities of the three possible outcomes will be equal to one:

\frac{7}{13} +\frac{1}{k}+ \frac{1}{2k} = 1 \\\\\frac{1}{k} \frac{1}{2k} =1-\frac{7}{13}\\\\\frac{3}{2k} \frac{5}{13}\\\\2k = \frac{(13)(3)}{5}\\\\k = \frac{39}{(5)(2)}\\

<u>k = 3.9</u>

6 0
3 years ago
Find the <br> (D)<br> (R)<br> &amp;<br> (A)
omeli [17]
<h3>Answer: Choice C</h3>
  • domain = (-infinity, infinity)
  • range = (-infinity, 0)
  • horizontal asymptote is y = 0

========================================================

Explanation:

Since no division by zero errors are possible, and other domain restricting events are possible, we can plug in any x value we want. This means the domain is the set of all real numbers. Representing this in interval notation would be (-infinity, infinity).

The range is the set of negative real numbers, which when written in interval notation would be (-infinity, 0). This is because y = 5^x has a range of positive real numbers, and it flips when we negate the 5^x term. The graph of y = -5^x extends forever downward, and the upper limit is y = 0.

It never reaches y = 0 itself, so this is the horizontal asymptote. Think of it like an electric fence you can get closer to but can't touch.

7 0
3 years ago
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