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LUCKY_DIMON [66]
2 years ago
5

Natara is training to run a 26-mile marathon. Each week, she increases the distance she runs on her training days. Over the firs

t three weeks, her training distances have been 5, 8, and 11 miles. If she increases her distance at the same rate each week, in what week will Natara first run 26 miles?
Mathematics
1 answer:
ValentinkaMS [17]2 years ago
8 0

Answer:

Week 8

Step-by-step explanation:

For each week add 3 miles until you reach 26 miles

Week 1:5

Week 2:5+3=8

Week 3:8+3=11

Week 4:11+3=14

Week 5:14+3=17

Week 6:17+3=20

Week 7:20+3=23

Week 8:23+3=26

Hope this answers your question :)

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You want to calculate the value of your car each year when it depreciates by 15%. What does the term y mean in the exponential f
insens350 [35]

Answer:

Value of the car after x years

Step-by-step explanation:

Exponential functions are generally expressed in the form: y=a(b)^x and since this function is decreasing, meaning it has an exponential decay, it can be expressed as: y=a(1-r)^x where r=rate of decay.

In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a

The r represents the rate of decay

the x usually represents the time in seconds, days, months, or whatever unit is being used

The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.

This is because a represents the initial value

After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)

After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))

This will continue to decrease the number of years increase

4 0
1 year ago
Read 2 more answers
The prime
Serjik [45]

9514 1404 393

Answer:

  n = 3

Step-by-step explanation:

In order for 3 × 3 = 9 to be a factor of both numbers, we must have ...

  n = 3

8 0
3 years ago
Solve the following equation for b. 1/2HB=d2
geniusboy [140]

Steps to solve:

1/2hb = d²

~Divide 1/2h to both sides

b = 2d²/h

Best of Luck!

6 0
3 years ago
A plane travels 990 miles to London and back. the trip there was with the wind.it took 10 hours.the trip back was into the wind.
tino4ka555 [31]

Answer:

C.

Step-by-step explanation:

pretty positive! :) hope it helps you

7 0
3 years ago
Read 2 more answers
When using the rational root theorem, which of the following is a possible root of the polynomial function below f(x)=x^3-5x^2-1
uranmaximum [27]

Answer:

\Large \boxed{\sf \ \ 7 \ \ }

Step-by-step explanation:

Hello, please consider the following.

The polynomial function is

x^3-5x^2-12x+14

The rational root theorem states that each rational solution

   x=\dfrac{p}{q}    

, written in irreducible fraction, satisfies the two following:

   p is a factor of the constant term

   q is a factor of the leading coefficient

In this example, the constant term is 14 and the leading coefficient is 1. It means that p is a factor of 14 and q a factor of 1.

Let's proceed with the prime factorisation of 14:

14 = 2 * 7

Finally, the possible rational roots of this expression are :

   1

   2

   7

   14

and we need to test for negative ones too

   -1

   -2

   -7

   -14

From your list, the correct answer is 7.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
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