answer.
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
Fantom
3 months ago
5

Freya is training for a track race. She starts by sprinting 200 yards. She gradually increases her distance, adding 5 yards a da

y for 21 days.
The explicit formula that models this situation is an = 200 + (n – 1)5.

How far does she sprint on day 21?
A. 300 yards
B. 305 yards
C. 205 yards
D. 221 yards
Mathematics
3 answers:
babunello [11.8K]3 months ago
8 0

Solution:

We know that

Freya is preparing for a race on a track. She begins her training with a 200-yard sprint. Over the next 21 days, she increases her daily distance by 5 yards.

The explicit formula that represents her training is a_n = 200 + (n-1)5

We need to determine the distance she runs on day 21.

By substituting n=21 into the provided formula, we find

a_{21} = 200 + (21-1)5

Simplifying leads to

a_{21} = 200 + 20*5

a_{21} = 200 + 100

a_{21} = 300

Thus, the correct answer is A.

Inessa [12.5K]3 months ago
8 0
The right answer is A) 300 yd.

Using the formula, we calculate 200 + (21-1)(5) = 200 + 20(5) = 200 + 100 = 300
Svet_ta [12.7K]3 months ago
0 0
My final answer is 205 yards.
You might be interested in
Which of the following functions best describes this graph
lawyer [12517]

Response: B

Detailed explanation: This represents a quadratic function due to its parabolic shape, and it intersects the y-axis at 1.

7 0
2 months ago
Find the interest for each loan. $252 at 8% for 2 years: ________ $400 at 2% for 6 months:________ $5,000 at 3.5% for 1 year:___
lawyer [12517]

Hello! I'm here to assist you! To calculate interest, we apply the formula prt, which involves multiplying the principal (the amount of money initially), the rate (the interest rate), and the time (typically in years). Here are the results:

$252 at 8% over 2 years yields $40.32
$400 at 2% for a duration of 6 months results in $4
$5,000 at 3.5% for 1 year gives $175
$6,240 at 10% for 9 months amounts to $468

For period calculations, we convert months into decimals: 6 months equals 0.5 years, and 9 months equals 0.75 years. Simply multiply the principal amount by the percentage in decimal form and by the time, and that’s it!

4 0
3 months ago
Read 2 more answers
What are the domain range and asymptote of h(x)=(1.4)^x+5
Inessa [12570]
The range consists of all the valid y values, starting from 5.
6 0
3 months ago
Read 2 more answers
Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?
Zina [12379]
Begin by grouping the first two terms together and the last two together, then factor and redistribute

(4x^3+x^2)+(-8x-2)
(x^2)(4x+1)+(-2)(4x+1)
x^2(4x+1)-2(4x+1)
the answer is the first one

6 0
2 months ago
Read 2 more answers
Write the quadratic equation whose roots are six and -2 and who’s leading coefficient is 3 use the letter X to represent the var
babunello [11817]

Response:

3X^{2} - 12X - 36 = 0

A quadratic equation has solutions of 6 and -2.

Thus, if the variable is denoted by X, the factors of the polynomial function will be (X - 6) and (X + 2).

Thus, the equation can be represented as

(X - 6)(X + 2) = 0

⇒

X^{2} - 4X - 12 = 0

If the leading coefficient is 3, we can express the equation as

(Response)3X^{2} - 12X - 36 = 0

6 0
2 months ago
Other questions:
  • If the volume of a cube is increased by a factor of 10 (so that the new volume is 10 times the size of the original volume), by
    13·1 answer
  • A machine can stamp 40 envelopes in 8 mins. How many of these machines working simultaneously are required or needed to stamp 12
    10·2 answers
  • The length of a pencil is measured with two rulers. Report the length of the pencil from each ruler with the proper number of di
    5·1 answer
  • Last year the cost of a season ticket for a Rugby club was £370
    9·2 answers
  • True or false: the regression sum of squares (ssr) can never be greater than the total sum of squares (sst).
    6·1 answer
  • Store A advertises a sale for 3 loves of bread for $5.94. Explain how to use an equivalent rate to find the unit price of the br
    8·2 answers
  • Graph the lines by finding the points of intersection with the axes (intercepts): y=2x+2
    5·1 answer
  • The table shows the number of condo sales per month for a new condo building.
    10·1 answer
  • In a triangle, suppose we know that side b=3 feet, side c=2 feet, and that angle A=140o. According to the Law of Cosines, the le
    15·1 answer
  • A farmer plans to create a rectangular garden that he will enclose with chicken wire. The garden can be no more than 30 ft wide.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!