1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lions [1.4K]
3 years ago
10

Please help. Marika is training for a race.

Mathematics
1 answer:
Anika [276]3 years ago
3 0

Let's call n the number of days Marika's been training for the race, and a_n the distance she runs on the nth day in meters. After the first day, when n = 1, she runs 100 meters, so


a_1=100


On the second day, she runs an additional 4 meters, on the third day, another 4, and so on. Here's what that looks like mathematically:


a_2=100 + 4\\a_3=100 + 4 + 4\\a_4=100+4+4+4


It would be easier to write this continued addition as multiplication, in which case those same equations would look like


a_2 = 100 + 4(1)\\a_3 = 100 + 4(2)\\a_4=100+4(3)


Notice that, in every case, the number 4 is being multiplied by is 1 less than n. We could even write for our first term that a_1=100+4(0). In general, we can say that


a_n=100+4(n-1)


Which is expressed by option B.


(Bonus: What piece of information from this question did we not need to use here?)

You might be interested in
How write 9/10 as a decimal
Tomtit [17]

Answer: 0.9

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The exact heights of different elephants Choose the correct answer below. A. The data are continuous because the data can only t
IgorC [24]

Answer:

Option d: The data are continuous because the data can take on any value in an interval.

Step-by-step explanation:

The data are continuous if they can take on any value within a range. In this case study, there are different elephants including small/young ones and big ones/old ones.

Thus, their heights will vary and can take on any value within a particular range.

4 0
3 years ago
The length of a planet's orbit around a star is approximately 17,650,000 km.
daser333 [38]

Answer:

1150 km/hr

Step-by-step explanation:

Formula for Average Speed is given as = Distance in Kilometers/ Time in Hours

In the question we are given the following parameters.

The length of a planet's orbit around a star = Distance = 17,650,000 km.

Time taken to complete a full orbit = 640 Earth days

Step 1

We need to convert the time in days to hours

1 Earth day = 24 hours

640 Earth days =

We cross multiply

640 Earth days × 24 hours

= 15360 hours.

Step 2

Average Speed = Distance in Kilometers/ Time in Hours

Average Speed = 17,650,000 km. /15360 hours

Average Speed = 1149.0885417 km/hr

Approximately to 3 significant figures=

1150 km/hr

Therefore, the planets average speed in kmh-1 to 3sf is 1150 km/hr

8 0
3 years ago
Write an inequality to model the situation. the maximum speed on the highway , x is 55 mi/h
OLEGan [10]
A maxm speed of 55 mph means that the speed has to be lexx than or equal to 55

x <= 55
6 0
3 years ago
Read 2 more answers
Find the value of 5(a-4b) when a =-7 and b=1/4
tatiyna

Answer:

- 40

Step-by-step explanation:

5(a - 4b) \\  = 5 \bigg(- 7 - 4 \times \frac{1}{4} \bigg ) \\ = 5 \bigg(- 7 - 1 \bigg ) \\  = 5 \times ( - 8) \\  =  - 40

3 0
3 years ago
Other questions:
  • Least common denominator of 7/9 and 2/3
    6·2 answers
  • Simplify the complex fraction:<br> (49-x^2)^1/2 + 9x^2(49-x^2)^-1/2 / 49-x^2
    7·1 answer
  • How much is it to buy 10 meters of fleece when the rate is $1.60/ft of fabric
    13·1 answer
  • Find the hypo when the opposite is 36 and the adjacent is 27​
    13·2 answers
  • PLZ HURRY!!!
    5·2 answers
  • What is the solution for 3x&lt;-45
    14·1 answer
  • Find f\left(x+3\right)f(x+3) given the function: f\left(x\right)=-5x+3f(x)=−5x+3
    8·1 answer
  • An angle measures 27.8° more than the measure of its complementary angle. What is the measure of each angle?
    5·2 answers
  • Hi guys. Please help me here. The math problem is kinda tricky. <br>Thank you to anyone who tried:)​
    5·1 answer
  • B. A shopper has $430 to spend on a winter coat. Write and
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!