Find an equation for the perpendicular bisector of the line segment whose endpoints

You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

7 0

3 years ago

How many does it means subtract or add

Elza [17]

It depends on the question, but if the question is, how many is there....
It usually means to <u><em>add</em></u>

(What is the question anyway?)

7 0

3 years ago

Read 2 more answers

Golf balls come in a variety of packages. A particular brand of golf balls come in packages of 12 or in packages of 18. The 12-p

Fantom [35]

Answer:

The better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.

Step-by-step explanation:

To find which is the better deal, you have to determine which one offers a lower unit price by dividing the price of each package by the number of balls in the pack:

$4.47/12=$0.37

$14.46/18=$0.80

According to this, the answer is that the better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.

8 0

2 years ago

I need help with this it's urgent!

borishaifa [10]

Oh shucks man, I'm sorry bout that

4 0

2 years ago

4w+5/-3=2 what does w equal

Pavlova-9 [17]

Answer:

w=-11/4 or -2 and 3/4

Step-by-step explanation:

To solve this, we first have to cancel out the dividing by-3. We can use the inverse operation of division, which is multiplication. We have to multiply both sides by -3, and the equation becomes 4w+5= -6. Then, we subtract 5 from both sides. We get 4w= -11. We finally divide 4 on both sides, getting w=-11/4. -11/4 is in improper fraction form and -2 and 3/4 is in mixed number form.

3 0

3 years ago