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2 years ago

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the speed of light is 11,176,920 and the distance from earth to sun at a specific time is 92,955,807. about how long does it tak

e for sunlight to reach earth please help!!

1 answer:

Scilla [17]2 years ago

3 0

Given the speed of light and the distance from earth to sun, the time taken for the sunlight to reach earth is 8.3167 units.

<h3>How long does it take for the sunlight to reach earth?</h3>

Speed is simply referred to as distance traveled per unit time, it is expressed mathematically as;

Speed = Distance ÷ time

Given the data in the question;

Speed = 11,176,920
Distance = 92,955,807
Time = ?

To determine how long it takes for the sunlight to reach earth, plug the given values into the equation above and solve for time.

Speed = Distance ÷ time

11,176,920 = 92,955,807 ÷ time

Time = 92,955,807 ÷ 11,176,920

Time = 8.3167 units

Given the speed of light and the distance from earth to sun, the time taken for the sunlight to reach earth is 8.3167 units.

Learn more about speed here: brainly.com/question/7359669

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Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

<em>(h, k)</em><em> - vertex</em>

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of <em>a</em> using $k+\dfrac{1}{4a}$

<em>k = -5</em>

$-5+\dfrac{1}{4a}=-4$ <em>add 5 to both sides</em>

$\dfrac{1}{4a}=1$ <em>multiply both sides by 4</em>

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

<em>use the distributive property: a(b+c)=ab+ac</em>

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

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3 years ago

Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by

fiasKO [112]

$\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy$

Converting to cylindrical coordinates, the integral is equivalent to

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)$
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3 years ago

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Answer:

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4 years ago

Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length o

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Answer:

43% of the trip

Step-by-step explanation:

1. Create an Equation

300 miles/100*x percent=129 miles <=== Make an equation so you can find the percent she slept of the trip

2. Solve

300 miles/100*x percent=129 miles

3x=129 <=== 300 divided by 100 is 3 and 3 times x is also 3x

3x/3=129/3 <=== divide by 3 from both sides

x=43

Since x is 43 that means 129 equals 43% which is how much Tallulah slept

of the trip.

3. Check

300 miles/100*43%=129 miles <=== Substitute x with 43%

3x43%=129

129=129 <=== 129 is 129 which means that the answer is correct!

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Answer:

$F^{5}$

Step-by-step explanation:

$F^2 \times F^3 =$

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$= F^{5}$

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3 years ago

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