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3 years ago

The graph below shows the price of different numbers of hats at a store:

1 answer:

3 0

Since p is the cost of h hats, the output is the p and the input is h.
p=?h

Now we find the slope by using m=(y2-y1)/(x2-x1) and points (2,13), (4,26)
m=(26-13)/(4-2)=13/2=6.5

OR using the proportionality constant since y is a direct variation to x
K=y/x=13/2=6.5

Solution: p=6.5h

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What which relationship in each of the following represents a Non-proportional relationship

sergij07 [2.7K]

The answer is C y =3.5x

6 0

3 years ago

Suppose you have a light bulb that emits 50 watts of visible light. (Note: This is not the case for a standard 50-watt light bul

natali 33 [55]

Answer:

0.049168726 light-years

Step-by-step explanation:

The apparent brightness of a star is

$\bf B=\displaystyle\frac{L}{4\pi d^2}$

where

<em>L = luminosity of the star (related to the Sun) </em>

<em>d = distance in ly (light-years) </em>

The luminosity of Alpha Centauri A is 1.519 and its distance is 4.37 ly.

Hence the apparent brightness of Alpha Centauri A is

$\bf B=\displaystyle\frac{1.519}{4\pi (4.37)^2}=0.006329728$

According to the inverse square law for light intensity

$\bf \displaystyle\frac{I_1}{I_2}=\displaystyle\frac{d_2^2}{d_1^2}$

where

$\bf I_1=$ light intensity at distance $\bf d_1$

$\bf I_2=$ light intensity at distance $\bf d_2$

Let $\bf d_2$ be the distance we would have to place the 50-watt bulb, then replacing in the formula

$\bf \displaystyle\frac{0.006329728}{50}=\displaystyle\frac{d_2^2}{(4.37)^2}\Rightarrow\\\\\Rightarrow d_2^2=\displaystyle\frac{0.006329728*(4.37)^2}{50}\Rightarrow d_2^2=0.002417564\Rightarrow\\\\\Rightarrow d_2=\sqrt{0.002417564}=\boxed{0.049168726\;ly}$

Remark: It is worth noticing that Alpha Centauri A, though is the nearest star to the Sun, is not visible to the naked eye.

7 0

3 years ago

What is the total cost if the shirt cost $40 and 20% off

Eddi Din [679]

You'd simply have to find 20% of $40. To find the percent of a number, you would change the percent into an actual decimal/number, and then multiply them both. So the percent would become 0.20.

40 × 0.20 = 8

So now you would subtract 8 from the cost of 40.

40 - 8 = 32.

The shirt costs $32.

7 0

3 years ago

How do you share 4/3 of a rope with two people

laila [671]

Well, you can't have 4/3 of a rope because 3/3 would be one whole. That is an improper fraction. It would be 1 and 1/3. If you divide that in to two, then you get 2/3. Is that the answer you were looking for?

4 0

3 years ago

The area of a rectangle is 243.9 m2. If the length is 15 m, what is the perimeter of the rectangle?

patriot [66]

Step-by-step explanation:

Given

Area of rectangle (A) = 243.9 m²

Length (L) = 15 m

first calculating the breadth (b)

We know

L * b = A

15 * b = 243.9

b = 243.9/ 15

b = 16.26 m

Now

Perimeter (p)

= 2 ( L + b)

= 2 ( 15 + 16.29)

= 62.58 m

Hope it will help

3 0

3 years ago