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tangare [24]
3 years ago
15

A team of storm enthusiasts collected data to show the relationship between the time between seeing lightning and then hearing t

hunder, and how far away you are from the lightning. The results are in the graph below.
What is the constant of proportionality expressed as miles per second?
Answer: The constant of proportionality is _____________miles per second.

Mathematics
1 answer:
never [62]3 years ago
3 0

Answer:

Proportionality constant = \frac{1}{5}

Step-by-step explanation:

From the graph attached,

Data set representing the relation between seeing lightning and the hearing thunder is,

{(15, 3), (25, 5), (35, 7), (45, 9)}

Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)

d = kt

Here k = proportionality constant

k = \frac{d}{t}

From the data set one point is (15, 3).

k = \frac{3}{15}

k = \frac{1}{5} miles per second

Therefore, proportionality constant is \frac{1}{5} miles per second.

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How to convert base two to base three​
sladkih [1.3K]

Consider this example: say we want to convert <em>x</em> = 11 0101 1001₂ to base 3.

The binary expansion of <em>x</em> is

<em>x</em> = 1×2⁹ + 1×2⁸ + 1×2⁶ + 1×2⁴ + 1×2³ + 1×2⁰

which in base 10 reduces to

<em>x</em> = 512 + 256 + 64 + 16 + 8 + 1 = 857

Recall the first several powers of 3:

3⁰ = 1; 3¹ = 3; 3² = 9; 3³ = 27; 3⁴ = 81; 3⁵ = 243; 3⁶ = 729

Now it's a matter of computing quotients and remainders. Pick the largest power of 3 that fits into the target number, then check the remainder and repeat.

• How many times does the 729 go into 857? 1 time, and it leaves a remainder of 128, or

857 = 1×729 + 128 = 1×3⁶ + 128

• How many times does 81 go into 128? Also 1 time, so

128 = 1×81 + 47 = 1×3⁴ + 47

• How many times does 27 go into 47? Also 1 time,

47 = 1×27 + 20 = 1×3³ + 20

• How many times does 9 go into 20? 2 times,

20 = 18 + 2 = 2×9 + 2 = 2×3² + 2

• How many times does 1 go into 2? Also 2 times,

2 = 2 + 1 = 2×1 + 0 = 2×3⁰

So we found

857 = 1×3⁶ + 1×3⁴ + 1×3³ + 2×3² + 2×3⁰

which is the ternary expansion of <em>x</em>,

<em>x</em> = 1 011 202₃

6 0
3 years ago
Which of the following equations is an example of a line written in slope-intercept form?
kondaur [170]
Equation A (y=mx + b) is in slope intercept form.
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3 years ago
In the equation 3x+ 2 = 11 which number is the constant?
grigory [225]

Answer:

The constant is 2 and 11

Step-by-step explanation:

A constant is a number that always has the same value. In this equation 2 and 11 are the constants because they stay the same. 3x doesn't stay the same because 3 is multiplying x.

Hope This Helps :)

6 0
3 years ago
How do you know when you have found the prime factorization of a number?
SashulF [63]
You've found the prime factorization when all of your factors are prime. They can't be divided into any smaller factors.
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3 years ago
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Please help I don’t know how to do this
sweet-ann [11.9K]

Answer:

mnp=tuv

Step-by-step explanation:

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3 years ago
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