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My name is Ann [436]
3 years ago
11

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

in inches that corresponds to a shoe size of a n. A women's size 7 fits a foot 9 1/3 inches long, ands women's size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary. an=-17.91 +2.99(n-1), an=-5+2.99(n-1), an=7+0.33(n-1) , an=7.35+ 0.33(n-1)
Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0

Answer:

an=7.35+ 0.33(n-1)

Step-by-step explanation:

The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of  n.

We are given values for n=7 and n=12 as a7=9.33 and a12=11

So, we proceed from the options and check which an satisfies these values:

an = 7.35 + 0.33(n-1)

when n = 7:

an = 7.35 + 0.33 (7-1)

an = 9.33

when n = 12:

an = 7.35 + 0.33 (12-1)

an = 10.98≈11

Hence, correct option is:

an=7.35+ 0.33(n-1)

dem82 [27]3 years ago
5 0

Answer:

D

Step-by-step explanation:

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Find a whole number x in x/113 so that the ratio is a good estimate for pi
NISA [10]
So the initial question is x / 113 = 3.14 (we're keeping it a smaller decimal for now)

What you should do first is multiply both sides by 113

Your answer should be x = 354.82

Round this up to x = 355. <-- This is why we only used 3.14 at the start

Now check your work:
x / 113 = ?
355 / 113 = 3.14159265358979... which essentially is pi
4 0
3 years ago
I'm getting confused when i look at this question:
Vladimir [108]
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3 0
3 years ago
Plz help me .....simplify the ratio of 0,0064kg to 32 grams<br>​
Degger [83]

9514 1404 393

Answer:

  1/5

Step-by-step explanation:

1 kg = 1000 g so your ratio is ...

  \dfrac{0.0064\text{ kg}}{32\text{ g}}=\dfrac{0.0064\cdot1000\text{ g}}{32\text{ g}}=\dfrac{6.4}{32}=\boxed{\dfrac{1}{5}}

4 0
3 years ago
Write the equation of a line perpendicular to 9x−4y=−5 that passes through the point ​(−9​,3​).
Oksana_A [137]

Answer:

4x + 9y = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x - 4y = - 5 ( subtract 9x from both sides )

- 4y = - 9x - 5 ( divide terms by - 4 )

y = \frac{9}{4} x + \frac{5}{4} ← in slope- intercept form

with slope m = \frac{9}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{9}{4} } = - \frac{4}{9} , then

y = - \frac{4}{9} x + c ← is the partial equation

To find c substitute (- 9, 3 ) into the partial equation

3 = 4 + c ⇒ c = 3 - 4 = - 1

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9y = - 4x - 9 ( add 4x to both sides )

4x + 9y = - 9 ← equation in standard form

3 0
3 years ago
Please help show work
Tomtit [17]
You want the total volume of a cuboid 1" × 10" × 38" and a cylinder 1" in diameter by 12" long.

Volume of a cuboid:
.. V = l*w*h
.. = (38")*(10")*(1")
.. = 380 in³

Volume of a cylinder:
.. V = (π/4)*d²*h
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Total volume = Volume of cuboid + Volume of cylinder
.. = 380 in³ +9.42 in³
.. = 389.42 in³

The volume of the coat rack is approximately 389.42 in³.
6 0
3 years ago
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