Answer:
The answer to your question is below
Step-by-step explanation:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse

3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
Answer:
$43.75
Step-by-step explanation:
So you have: 35% discount
Total without discount: $125.00
Amount discounted: ?
So you have to make 35% into a number that you can multiply with $125. When you have a percentage you move the decimal two times to the front so you have 0.35 then you multiply;
125 x 0.35 = 43.75.
43.75 is the amount discounted, so you only have to pay 81.25. The equation for that would look like;
125 - 43.75 = 81.25
Hope that made sense!
Answer:
The Answer is B) Hope it helps!
Step-by-step explanation:
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following information:
First three hours of typhoon: rate of Rainfall. = 25mm per hour
Typhoon slows down for an hour : then Rainfall began again at a constant rate of 20 mm per hour for the next 2 hours
Piecewise function which models Rainfall ad a function of time
Amount of Rainfall as a function of time = f(t)
f(t) = 25t ; if t≤ 3
When typhoon slowed down for an hour :
f(t) = 0;
f(t) = 25*3 ; for t ∈ (3, 4)
Then Rainfall at a constant rate of 20mm for another 2 hours
f(t) = (25 *3) + 20(t - 4) ; for t ∈ (5, 6)
Answer:
You are paying 65% of the original price.
Step-by-step explanation:
So what I did is trial and error by 5 so I started with 75% and then 70% and so on until 65%