Answer:
The value is
Step-by-step explanation:
From the question we are told that

And that

So the number of sand grain that is in
is mathematically evaluated as
=>
Answer:
544,000
Step-by-step explanation:
Answer:
Option 3. f(x) is g(x) stretched vertically by a factor 8 and reflected about the x axis.
Step-by-step explanation:
The given functions are
----(1)
and g(x) = 4sin5x ------(2)
In the function (1)

Amplitude A =
In the function (2)
g(x) = 4sin5x Amplitude A' = 4
So when we compare these graphs we get


A' = 8A
Since the Graph number (2) is of positive sign that means Graph (1) is reflected about the x axis to get (2)
Therefore Option 3 is correct f(x) is stretched vertically by a factor of 8 and reflected by X axis
Answer:
-7
Step-by-step explanation:
y = mx + b is slope-intercept form and m is the slope. In this case m = -7 so the slope is -7.
Answer:
14.04°
Step-by-step explanation:
In this right triangle, we're seeking the measurement of an angle at the base of the triangle and we have the measurements of two of the sides (none are the hypotenuse) : the opposite one of the angle and the adjacent side.
The relationship between the two sides we have the measurement and the angle we are looking for is the tangent:

To find the angle we do an arctan on 0.25 and we get an angle of 14.04 degrees.