Answer:
The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.
Step-by-step explanation:
Let's take as example a linear function of the form: y = kx.
Where, k is the constant of proportionality.
Therefore, the proportionality constant is the point: (x, kx)
Generically it is always the point: (x, k * f (x)
Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.
Answer:
20% of the number is 60.
100% of the number is therefore (100/20) x 60 = 5 x 60 = 300
Step-by-step explanation:
Explanation:
No further explanation required really!
Answer: The length is 22 feet. The width is 4 feet.
Step-by-step explanation: Create an equation for the length: 2+5w=52.
Now combine the two sides to get 4+10w=52. Plug in some numbers that seem reasonable. I started with 4, checked my work and found that it was right. This problem is all about trial and error.
So, 4+10(4)= 44. Make sure to remember the width, so add 4 for each side: 44+8. 44+8=52. Hope this helps :)
Answer:
The correct value is t* = 2.797.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a two-tailed confidence level of . So we have T = 2.797.
Answer:
The value of x is 75
Step-by-step explanation:
First we need to find the other angle that doesn't have a number in it.
To find the degrees of the other angle we subtract 155 from 180.
180 - 155 = 25
Now we have to find the value of x. Add 80 and 25 together to get 105. A triangle is going to be 180 degrees. Subtract 105 from 180.
180 - 105 = 75
Now we will add 80, 25, and 75 to check our work.
80+25+75 = 180