PLEASE HELP!

Mathematics

1 answer:

Dafna11 [192]3 years ago

8 0

Answer:

It will take 8.17 days for a news story to reach 1,500,000 shares.

Step-by-step explanation:

Note: The correct exponential model is as follows:

y = 5⋅7^x ......................................... (1)

Where:

y = 1,500,000

x = ?

Substituting y = 1,500,000 into equation (1), we have:

1,500,000 = 5⋅7^x ........................ (2)

Taking the natural log of both sides of equation (2) and solve for x, we have:

ln1,500,000 = xln5.7

x = ln1,500,000 / ln5.7

x = 14.2209756660724 / 1.7404661748405

x = 8.17241379310345

Approximating to 2 decimall places, we have:

x = 8.17

Therefore, it will take 8.17 days for a news story to reach 1,500,000 shares.

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Step-by-step explanation:

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A meter stick casts a shadow 2.4 m long at the same time a flagpole casts a shadow 9.7 m long. How tall is the flagpole

Luda [366]

The first thing we are going to do is draw a diagram of the situation to help us to solve the situation.
We an draw tow similar triangle between the length of the shadows and the height of the stick and the pole.
Since meter stick has a length of 1 meter, the height of our smaller triangle is 1 meter. Let $h$ be height of of the pole. Since both triangles are similiar we can establish a proportion between their corresponding sides and solve for $h$ :
$\frac{h}{1} = \frac{9.7}{2.4}$
$h=\frac{9.7}{2.4}$
$h=4.04$

We can conclude that the pole is 4.04 meters tall.