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
d1i1m1o1n [39]
3 years ago
10

The relationship between men’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length i

n inches that corresponds to a shoe size of n. A men’s size 9 fits a foot 10.31 inches long, and a men’s size 13 fits a foot 11.71 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.
Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

Explicit formula for the sequence will be f(x) = 7.16 + 0.35n

Step-by-step explanation:

Step-by-step explanation:

As we know explicit formula of an arithmetic mean is given by

f(x) = a + (n-1)d

where a = first term of the sequence

n = number of term

d = common difference

Now it has been given that a men's size 9 fits a foot 10.31 inches long, means in an arithmetic sequence 9th term is 10.31. So by explicit formula

f(9) = a + (9-1)d = 10.31

⇒ a + 8d = 10.31-----(1)

Now from second statement

f(13) = a + (13-1)d = 11.71

⇒a + 12d = 11.71---------(2)

Now we subtract equation 1 from 2.

(a + 12d) - (a + 8d) = 11.71 - 10.31 = 0.40

4d = 1.40

d = 1.40/4 = 0.35

By putting the value of d in equation 1

a = 10.31 - 2.8 = 7.51

Finally we get the explicit formula of arithmetic formula as

f(x) = 7.51 + (n-1)(.35) = 7.51 + 0.35n - 0.35 = 7.16 + 0.35n

f(x) = 7.16 + 0.35n

You might be interested in
Which expression is equivalent to the following: *<br> 20x+9y
anzhelika [568]

Answer:

B. 5(4x+2y)-y

Step-by-step explanation:

Bring the 5 over and multiply

5×4 = 20 + x

=20x (thats the beginning of the expression)

5×2 = 10

10y - y = 9 because the - y is basically telling you to get rid of one of the y values so 10 - 1 = 9y

7 0
2 years ago
What is the solution for the systems of equations
AlekseyPX
x=1, y=2

Solve the following system:
{y = 5 - 3 x5 x - 4 y = -3
Substitute y = 5 - 3 x into the second equation:
{y = 5 - 3 x5 x - 4 (5 - 3 x) = -3

5 x - 4 (5 - 3 x) = (12 x - 20) + 5 x = 17 x - 20:{y = 5 - 3 x17 x - 20 = -3

In the second equation, look to solve for x:{y = 5 - 3 x17 x - 20 = -3

Add 20 to both sides:{y = 5 - 3 x17 x = 17

Divide both sides by 17:{y = 5 - 3 xx = 1

Substitute x = 1 into the first equation:{y = 2x = 1
Collect results in alphabetical order:Answer:  {x = 1                y = 2
5 0
3 years ago
You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 900 different songs (your favorite son
Afina-wow [57]
20/900
I not sure though
7 0
2 years ago
The sides of a rectangular room are perpendicular to each other.
stiv31 [10]

Answer:

120 m^2

Step-by-step explanation:

Length of the room = 10 m

Breadth of the room = 12 m

We know that, Area = Length * Breadth

Hence,

Total Area of carpet needed to cover the floor of the room = 12 * 10 = 120 m^2

5 0
2 years ago
What is the absolute deviation for 62 in the data set?
valkas [14]
0 is the answer! that is because 62 is also the mean.


3 0
3 years ago
Read 2 more answers
Other questions:
  • A parachutist's speed during a free fall reaches 207 kilometers per hour. What is this speed in meters per second? At this speed
    11·2 answers
  • I need the answer ASAP thx
    11·1 answer
  • Give an expression that generates all angles coterminal with each angle. Let n represent any interger?
    15·1 answer
  • Write 4.7 as a mixed number in simplest form
    9·1 answer
  • How many more orders for cheese were<br><br> for 3/4 pound or less than for 1 pound or<br><br> more?
    6·2 answers
  • A bike was on sale for $3600 Sam makes an offer equal to 3/4 of the price how much does Sam offer
    9·1 answer
  • Estimate 2,525 ÷ 64<br> nononononononnow
    13·2 answers
  • I need the answer pls answer fast
    11·2 answers
  • True or False <br> Stock Prices are easy to predict?
    12·1 answer
  • 2,451 people came to watch the Easter parade. 745 of those people were adults. How many children came to the parade? 742 child p
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!