If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
5.00 + 0.58·s ≤ 13.00
To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
0.58·s ≤ 8.00
s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.
Kim can download 13 songs without exceeding her budget.
<span>8x^3y^2 = 4x^2y^2 (2x)
</span><span>20x^2y^4 = 4x^2y^2 (5y^2)
GCF = </span>4x^2y^2
Answer:
r = 3 inches
Step-by-step explanation:
The formula for the volume of a sphere is the following:
V = (4π/3)r^3
You know the volume so plug that in for V:
36π = (4π/3)r^3
27 = r^3 (multiply by 3/4π to get r^3 by itself)
r = 3 (you take the cube root of r and 27 to get the value of r)
Hope this helps :)
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<u><em>Answer:</em></u>sin (C)
<u><em>Explanation:</em></u><u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>

<span>
cos (theta) = </span>

<span>
tan (theta) = </span>

<span>
<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>

<span>
<u>Second option:</u>5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>

<span>
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.
Hope this helps :)
</span>
Answer:

Step-by-step explanation:

Take the log of both sides.

Use properties of log.






