Answer:
-1/2
Step-by-step explanation:
y = mx + c is the standard form of the equation where m is slope. Comparing the question to the equation we get
m = -1/2
I'm assuming 43 is actually 4/3
see what number the previous term must be multiplied by to get the next term
4 *something = 12, 12*something=36
common ratio is 3
Answer:
0.08 g/cm³
Step-by-step explanation:
We are given;
- Mass of the liquid = 2 pounds
But; 1 pound = 453.592 g
Therefore, mass = 907.184 g
- Volume of the liquid = 3 gallons
But; 1 gallon = 3785.41 cm³
Thus, volume = 11356.23 cm³
We are required to determine the density of the liquid;
We need to know that;
Density = Mass ÷ Volume
Therefore;
density of the liquid = 907.184 g ÷ 11356.23 cm³
= 0.0799 g/cm³
= 0.08 g/cm³
Thus, the volume of the liquid is 0.08 g/cm³
ANSWER
The correct answer is C
EXPLANATION
We want to find the quotient:
We multiply by the reciprocal of the second fraction:
We cancel out the common factors to obtain:
We multiply to get
This simplifies to :
The correct answer is C
Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
