Answer:
D.) 1:6
E.) 8:48
Step-by-step explanation:
<h3>
Answer: 40</h3>
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Explanation:
Assuming the function is f(x) = 5(2)^x, then we replace every x with 3. Then we use the order of operations PEMDAS to simplify. Or we can use a calculator to simplify in one step.
f(x) = 5(2)^x
f(3) = 5(2)^3
f(3) = 5(8)
f(3) = 40
Answer:
m∠FXD = 36°
EG = 10
m∠FZG = 24°
Step-by-step explanation:
In triangle XYZ, G is the incenter of the triangle.
Since, m∠FXG = 18°
And m∠FXD = 2(m∠FXG)
= 2 × 18°
= 36°
Since, point G is equidistant from all sides (Property of incenter of a triangle)
Therefore, DG = EG = GF = 10
Since, m∠X + m∠Y + m∠Z = 180°
2(m∠FXG) + m∠DYE + 2(m∠FZG) = 180°
2(18)° + 96° + 2(m∠FZG) = 180°
2(m∠FZG) = 180° - 132°
m∠FZG = 24°
Answer:
1670
Step-by-step explanation:
Mas has 839 balls
37 are taken away
839 -37 = 802
Then he gets 868 balls
802+868 =1670
He now has 1670 balls
By using the base change formula, which states

The given equation is 
By substituting the values of log 5 and log 3.

= 1.46