bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.
Marley used 7 cups of water to make 4 loaves of French bread. What equation can be used to model the total cups of water needed
1 answer:
Answer:
Step-by-step explanation:
<u>Proportional Relationship</u>
It's the type of relationships between two variables where their ratios are equivalent.
In a proportional relationship, one variable is always a constant value by the other. That constant is known as the <em>constant of proportionality</em>.
A proportional relationship between the variables x and y is written as:
y=k.x
For this problem, y represents the cups of water needed for making x loaves of French bread.
We know Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation:
7=k.4
Solving for k:
The equation to model the problem is:
You might be interested in
bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.
Answer:
see explanation
Step-by-step explanation:
We require 2 equations with the recurring part after the decimal point.
Let x = 0.555..... → (1)
Multiply both sides by 10, then
10x = 5.555..... → (2)
Subtract (1) from (2) thus eliminating the recurring decimal
(10x - x) = (5.5555 - 0.5555 ), that is
9x = 5 ( divide both sides by 9 )
x =
Answer:
The average velocity of the ball at the given time interval is -122.3 ft/s
Step-by-step explanation:
Given;
velocity of the ball, v = 34 ft/s
height of the ball, y = 34t - 26t²
initial time, t₀ = 3 seconds
final time, t = 3 + 0.01 = 3.01 seconds
At t = 3 s
y(3) = 34(3) - 26(3)² = -132
The average velocity of the ball in ft/s is given as;
Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s