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tangare [24]
3 years ago
13

Consider the arithmetic sequence where the 12th term is 41 and the 4th term is 1. a. Find the formula of the nthterm of the sequ

ence. b. Find the sum of the first 20 terms.
Mathematics
1 answer:
svlad2 [7]3 years ago
3 0
The common difference is 6. The first term is x−d=37−6=31.
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How long would it take to walk 1.6 miles if you were walking at 2 miles per hour​
LekaFEV [45]

Answer:

48 minutes

Step-by-step explanation:

First, we divide 1.6 by 2 to see how much out of the hour we will walk. This equals 0.8. We have walked for 0.8 of an hour. An hour is 60 minutes. 60 minutes multiplied by 0.8 is 48. It takes 48 minutes to walk 1.6 miles at 2mph.

7 0
2 years ago
FCDEF is congruent to MNPQ, then angle P is congruent to
SpyIntel [72]

Answer:

The angles of both figures are listed in the same order. The first angle of the first one is congruent to the first angle of the second, and the second angle of the first one is congruent to the second angle of the second figure, and so on.

Step-by-step explanation:

You have a repeated 'F' in naming the first figure, so I think you made an error. But the rule in my answer is true and you can apply it.

7 0
3 years ago
A bacteria culture starts with 1000 bacteria and the number doubles every 40 minutes. (a) find a formula for the number of bacte
vfiekz [6]

The formula for the number of bacteria at time t is 1000 x (2^t).

The number of bacteria after one hour is 2828

The number of minutes for there to be 50,000 bacteria is 324 minutes.

<h3>What is the number of bacteria after 1 hour?
</h3>

The exponential function that can be used to determine the number of bacteria with the passage of time is:

initial population x (rate of increase)^t

1000 x (2^t).

Population after 1 hour : 1000 x 2^(60/40) = 2828

Time when there would be 50,000 bacteria : In(FV / PV) / r

Where:

  • FV = future bacteria population = 50,000
  • PV = present bacteria population = 1000
  • r = rate of increase = 100%

In (50,000 / 1000)

In 50 / 1  = 3.91 hours x 60 = 324 minutes

To learn more about exponential functions, please check: brainly.com/question/26331578

#SPJ1

5 0
1 year ago
HELP PLZ
Ket [755]

Answer:

The value of 4 is an input of the function

Step-by-step explanation:

Let

x -----> the independent variable or input value

y ----> the dependent variable or output value

we know that

Looking at the graph

The domain (input values) of the linear function is equal to the interval

[1,∞)

x\geq 1

All real numbers greater than or equal to 1

The range (output values) of the linear function is equal to the interval

(-∞,3]

y\leq 3

All real numbers less than or equal to 3

therefore

The value of 4 is an input of the function

6 0
3 years ago
Read 2 more answers
a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is
Mademuasel [1]

Answer:

Step-by-step explanation:

Take 20( cosine of 75 degrees)

the answer is 5 ft

8 0
3 years ago
Read 2 more answers
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