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3 years ago

What is the constant of proportionality in the equation y=7x?

Mathematics

2 answers:

rewona [7]3 years ago

5 0

Answer:

Step-by-step explanation:

y=kx y = k x , y varies directly with x and k . The constant of variation, k , is 7

Katena32 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

because every time 7 will multiplied by x it will equals to y. so y will be the constant

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Al Shea is the sole owner and operator of Saw Tooth Company. At the end of its accounting period, December 31, 2005, SawTooth Co

Liono4ka [1.6K]

Answer:

amount of net income during 2006 is $65000

Step-by-step explanation:

Given data

assets in 2005 = $925,000

liabilities in 2005 = $285,000

invested an additional $50,000

withdrew $30,000

assets in 2006= $980,000

and liabilities in 2006 = $225,000?

to find out

amount of net income during 2006

solution

in 2005

assets = $925,000

liabilities = $285,000

so stock holder equity = $640000

and in 2006

assets = $980,000

and liabilities = $225,000

so stock holder equity = $725000

so retaining earning for both year is $725000 - $640000 i.e $85000

so net income = retaining earning + withdrew - investment

net income = $85000 + $30,000 - $50,000

net income = $65000

amount of net income during 2006 is $65000

7 0

3 years ago

The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.09 and a standard deviatio

WINSTONCH [101]

Answer:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 4.09$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}= \frac{0.08}{\sqrt{16}}= 0.02$

So the best answer for this case would be:

$\bar X \sim N (4.09, \frac{0.08}{\sqrt{16}}= 0.02)$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the costs of unleaded gasoline of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.09,0.08)$

Where $\mu=4.09$ and $\sigma=0.08$

We select a sample size of n =16. Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 4.09$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}= \frac{0.08}{\sqrt{16}}= 0.02$

So the best answer for this case would be:

$\bar X \sim N (4.09, \frac{0.08}{\sqrt{16}}= 0.02)$

3 0

3 years ago

Can anybody help me w this?

Ratling [72]

Answer:

12.62 m

Step-by-step explanation:

Area of a circle = πr²

Area = 125m²

Hence:

125m² = πr²

r² = 125m²/π

r = √125m²/π

Hence,

r =√ 39.788735773

r = 6.3078313051 m

Diameter = Radius × 2

Therefore, Diameter of one circle is

= 6.3078313051 m × 2

= 12.61566261m

Approximately = 12.62 m

8 0

3 years ago

Pls help me solve pls show how you got the answer

sergij07 [2.7K]

Answer:

48 length units

Step-by-step explanation:

area of each squre = 9

side length of each square = sqrt(9) = 3

Length of each side of grid = 4*3 = 12

Perimeter of grid = 4 sides = 4*12 = 48 length units

7 0

3 years ago

Read 2 more answers

K-3k²-3k+2k²<br><br><br>what is the answer<br>please help me

laiz [17]

Answer:

Assuming you want to simplify the expression, it can be shortened to:

-k² - 2k

Step-by-step explanation:

What you need to do here is called grouping like terms. Like terms can be described as terms that have the same factors. In this case, the factors we're looking at are k and k²:

Given:

k - 3k² -3k + 2k²

We'll rearrange to group like expressions:

= -3k² + 2k² + k -3k

Pull out common factors:

= (-3 + 2)k² + (1 - 3)k

And simplify:

= -k² - 2k

5 0

3 years ago