Answer:
1. 24th 2. 140
Step-by-step explanation:
1. To figure out this problem, you would have to list the multiples of both 6 and 8.
6 (6, 12, 18, 24)
8 (8, 16, 24) because both have 24, that would be the answer.
2. There are 8 windows, all with the same perimeter. Each window's perimeter is 17.5 (17 1/2) so 8 windows would be 140 ft. (17.50 x 8 = 140)
Answer:
In 4 months the cost of both gyms will be the same.
Step-by-step explanation:
At first we need to model the function to calculate the cost of the 2 gyms.
Slope-intercept equation of linear function

where
slope of line
y-intercept
Let linear function to calculate total cost of gym be:

where
total cost of gym
cost per month (slope)
number of months
start-up fee (y-intercept)
For Gym 1
,

For Gym 2
,

In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months 


So,
In 4 months the cost of both gyms will be the same.
Answer:
The initial height of the balloon is 2 feet.
Step-by-step explanation:
The height of the balloon in feet after t seconds is given by the following equation:

What is the initial height of the balloon?
This is h when t = 0, that is, h(0). So

The initial height of the balloon is 2 feet.
Answer:
a) strong negative linear correlation.
b) Weak or no linear correlation.
c) strong positive linear correlation.
Step-by-step explanation:
The correlation coefficient r measures the strength and direction (positive or negative) of two variables. The correlation coefficient r is always between -1 and 1. When the coefficient r is negative then the direction of the correlation is downhill (negative) and when it's positive then it's an uphill correlation (positive). Similarly, as the coefficient is closer to -1 or 1 the correlation is stronger, with zero being a non linear relationship.
Now back to the question:
a) Near -1: as we said before, this means an strong negative (-1) linear correlation.
b) Near 0: weak or no linear correlation (we cannot say if its positive or negative because we don't know it it's near zero from the right (positive numbers) or the left (negative numbers)
c) Near 1: strong positive (close to +1) linear correlation