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saul85 [17]
3 years ago
8

Which equation has a constant of proportionality equal to 2?

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The equation y=kx describes the proportional relationship between variables x and y. In this equation, k is the coefficient of proportionality.

Consider all options:

A. For the equation

y=\dfrac{10}{5}x,

the coefficient of proportionality is

k=\dfrac{10}{5}=2

B. For the equation

y=\dfrac{2}{2}x,

the coefficient of proportionality is

k=\dfrac{2}{2}=1

C. For the equation

y=\dfrac{2}{4}x,

the coefficient of proportionality is

k=\dfrac{2}{4}=\dfrac{1}{2}

D. For the equation

y=\dfrac{22}{22}x,

the coefficient of proportionality is

k=\dfrac{22}{22}=1

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Use the following information to complete parts I, II, and III. 1 hour=3600 seconds
icang [17]

Answer:

I) There are 8.760\times 10^3 hours in 1 year.

II) The exact number of hours in one year is 8.76582\times 10^3 hours.

Step-by-step explanation:

Given : 1 hour=3600 seconds

1 year = 31556952 seconds.

To find :

I)  Use scientific notation to estimate the number of hours in one year.

1 day = 24 hours

1 year = 365 days

So, number of hours in one year is given by,

n=24\times 365

n=8760

In scientific notation,

8760=8.760\times 10^3

So, there are 8.760\times 10^3 hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

n=\frac{31556952}{3600}

n=8765.82

In scientific notation,

8765.82=8.76582\times 10^3

So, the exact number of hours in one year is 8.76582\times 10^3 hours.

III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

  • The exact numbers of hours using 365 days is 8760 which is written as 8.760\times 10^3 in scientific notation but using the given data we get 8.76582\times 10^3 hours.
  • Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.
  • If we round these we get 8.8\times 10^3 hours which has two significant numbers.
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3 years ago
Consecutive angles in a parallelogram are supplementary. What is the value of x?
Naddika [18.5K]

Step-by-step explanation:

HERE,

\angle{PQR=20+2x  } ⠀

\angle{ QRS=6x } ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

\angle{PQR}+\angle{QRS}=180 ⠀

\tt{20+2x+6x=180  } ⠀

\tt{8x+20=180  } ⠀

\tt{8x=180-20  } ⠀

\tt{8x=160  } ⠀

\tt{x=\dfrac{160}{20}  } ⠀

\tt{ x=20 } ⠀

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(8.4x + 2.9) + (-3.7x + 5).
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Answer:

10

Step-by-step explanation:

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Step-by-step explanation:

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