Answer:
a. 
b. 
Step-by-step explanation:
You have the following formula given in the exercise:
a. If the object is 50 feet above the ground, you can identify that the value of the variable "h" would be the following:
Then, knowing that value, you can substitute it into the given formula and then evaluate in order to calculate the time in seconds for the object to be 50 feet above the ground.
This is:
b. When the object reaches the ground, the value of "h" is:
Therefore, substituting this value into the formula and evaluating, you get that time (in seconds) it takes to the object reaches the ground is:
Answer:
After 40 weeks
Step-by-step explanation:
To get the answer to this question, we need to first know the difference in the amount of money deposited by the 2 individuals and in this case it us $400 since one deposited $500 and the other $100
The next thing to do is to divide the difference in amount(400) by the amount contributed by each person per week.
Catherine deposits $20 per week
400/20 = 20
Lance deposits $10 per week
400/10 = 40
The LCM between 40 and 20 is 40 weeks.
Therefore, both individuals need to deposit money for 40 weeks for both of their savings to be the same.
If Catherine deposits $20 for 40 weeks,she will have 40 × 20 = $800 + $100(initial deposit that she made) = $900
Lance deposits $10 for for 40 weeks and he will have 40 × 10 = $400 + $500(initial deposit made by him)= $900
Answer:
The demonstration is showed below
Step-by-step explanation:
The distance betwenn two points is given by:
If the point is equidistant from a point and a line, the distance must be equal. For the line let's select the point (x,-4), because the distance will be ortogonal, and is the small distance between a point and a line. So:
Removing the squares:
(x-2)² + y² = (y+4)²
(x-2)² + y² = y² + 8y + 16
y² - y² - 8y = 16 - (x-2)²
8y = (x-2)² - 16
y = (1/8)*(x-2)² - 16/8
y = (1/8)*(x-2)² - 2
5/6 and 1/6 are exponents to X. The X’s are divided by each other. does that make sense?
Answer:
Subtract 3 and one-fifth from both sides of the equation
Step-by-step explanation:
Well to find n you gotta separate it.
3 1/5 + n = 9
-3 1/5
n = 5.8
<em>Thus,</em>
<em>to seperate it you subtract 3 1/5 from both sides.</em>
