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4 years ago

7

Eduardo counted ten seconds between swing lightning and hearing thunder, and he knew that the lighting was about 2 miles away.if

he counted four seconds between the next flash of lighting and thunder, about how far away was the lightning?

1 answer:

forsale [732]4 years ago

5 0

The Lightning was about 1/2 mile away from Eduardo.

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If f(x)= 3-2 and g(x)=1/x+5 what is the vue of (f/g) (8)

Lena [83]

Answer:

The value of (f/g) (8) = -169

Step-by-step explanation:

<u>Step 1: explaining the question</u>

The quotient (f/g) is not defined at values of x ⇒ both the functions must be defined at a point for the combination to be defined.

⇒(f/g)(x) =(f(x)) / (g(x))

If f(x)= 3-2 and g(x)=1/x+5

⇒then according to the preceding formula: (f/g)(x) =(f(x)) / (g(x))

⇒(f/g)(8) = f(8) / g(8)

to solve this we have to find the value of both f(8) and g(8)

<u>Step 2: find value of f(8) and g(8)</u>

⇒ we know that f(x) = 3-2x and we know dat f(x) = f(8)

⇒ f(8) = 3-2(8)

f(8) = 3-16 = -13

⇒we know that g(x) = 1/x+5 and g(x) = g(8)

⇒ g(8) = 1/8+5

g(8) =1/13

These 2 equations we will insert in the following : ⇒(f/g)(8) = f(8) / g(8)

⇒ f/g (8) = -13 / (1/13) = -13 * 13/1 = -169

The value of (f/g) (8) = -169

6 0

4 years ago

A figure has vertices at L(3,3), M(2,4), and N(−1,0). After a transformation, the image of the figure has vertices at L′(2,−5),

alexandr402 [8]

The transformation was a reflection over the line x = -0.5

And the image and preimage can be seen in the graph below.

<h3>How to identify the preimage and image?</h3>

First, the original vertices are:

L(3, 3)

M(2, 4)

N(-1, 0)

3 vertices means that our figure is a triangle.

Now, the transformed vertices are:

L'(2, -5)

M'(3, -4)

N'(-1, 1)

And the graph of both sets can be seen below.

Now we can try to identify the transformation.

Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5

This is a clear implication that the transformation was a reflection over the line x = -0.5

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

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2 years ago

What is the slope of the line represented by the equation –5x 2y= 10 ?

Sladkaya [172]

In the equation y=mx+b, the variable m represents the slope of the line. Therefore, the equation -5x+2y=10 can be rearranged into 2y=5x+10. Isolate the y to get y=2.5x+5. The slope of the line is 2.5

7 0

3 years ago

The regression equation y = -0.414x + 106.55 approximates the percent of people in an

murzikaleks [220]

The correct option will be: A. 67%

<em><u>Explanation</u></em>

Given equation is: $y = -0.414x + 106.55$ , where $x$ is the length of the film in minutes and $y$ is the percentage of people finish watching the film.

Here, the length of the documentary is given as 95 minutes. So, we will <u>plug $x=95$ into the above equation</u> and get....

$y=-0.414(95)+106.55\\ \\ y=-39.33+106.55\\ \\ y=67.22 \approx 67$

<em>(Rounded to the nearest percent)</em>

So, the percentage of people in an audience who will finish watching a documentary that is 95 minutes long will be 67%

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3 years ago

8 is what percent of 24?

Irina18 [472]

Answer:

1, 33.3

2, 81.9

3, 240

4, the farmer sold 33.3 of his crops

5, 750 students are enrolled.

5 0

3 years ago

Read 2 more answers