Answer:
C. 
Step-by-step explanation:
You are given the exponential function 
From the table, 
at 
thus
![N(0)=a\cdot b^0\\ \\150=a\cdot 1\ [\text{ because }b^0=1]](https://tex.z-dn.net/?f=N%280%29%3Da%5Ccdot%20b%5E0%5C%5C%20%5C%5C150%3Da%5Ccdot%201%5C%20%5B%5Ctext%7B%20because%20%7Db%5E0%3D1%5D)
Also 
at 
thus
Since 
substitute it into the second equation
and the expression for the exponential function is
3/4=0.75
Since 3/4 (of the bar) + 1/4 (of the bar) equals a whole bar (1), and 3/4 (of the bar) + 0.75 equals the whole weight of the bar, 0.75 is 1/4 of the bar. 1/4 times 4 equals 1, and 0.75 times 4 equals 3, so the bar of soap weighs 3 pounds.
Answer:
75
Step-by-step explanation:
For this, you need to solve a proportion-
3.4 x
----- = -----
1.8 39.75
3.4*39.75=135.15
135.15/1.8= 75.0833.....
75.0833.. is rounded to 75
Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.
<h3>Equation for
speed</h3>
Speed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent Karen speed and b represent Melinda speed, hence:
a = b + 10
a - b = 10 (1)
Also:
a = d₁ / 1
d₁ = a
b = d₂/ 1 hour
d₂ = b
Since they are 108 miles apart, using Pythagoras:
108² = d₁² + d₂²
a² + b² = 11664
(b + 10)² + b² = 11664
b = 71.2 mph, a = 81.2 mph
Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.
Find out more on speed at: brainly.com/question/4931057
Answer:
2 : 1
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
AC : DF = 8 : 4 = 2 : 1
