Answer: 5) r = 5, 8th term = -78,125
6) r = 5, 8th term = -312,500
7) r = 5, {1, 5, 25, 125, 625}
8) r = 5, {-4, -20, -100, -500, -2500}
<u>Step-by-step explanation:</u>
The explicit formula of a geometric sequence is: , where;
- n is the number of the term
- a₁ is the first term
- r is the common ratio
Answer:
<em>El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.</em>
Step-by-step explanation:
<u>Sistemas de Ecuaciones</u>
Llamamos:
x = litros de jugo al 5% natural
y = litros de jugo al 25% natural
El administrador de la cafetería desea hacer 50 litros de jugo, luego:
x + y = 50 [1]
Esos 50 litros de jugo deben tener 10% de jugo natural. Como cada parte de x aporta 5% y cada parte de y aporta 25%:
5x + 25y = 10*50 = 500
Dividimos entre 5:
x + 5y = 100 [2]
Restamos [2] menos [1]:
4y = 50
y = 50/4 = 12.5
De [1] tenemos que:
x = 50 - y = 50 - 12.5 = 37.5
El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.
Answer:
.25(P), or P/4
Step-by-step explanation:
Depending on what P, the answer should be .25(P)
Answer: (13,-7)
Step-by-step explanation:
By using the formula
is the coordinates of the midpoint.
For finding the midpoint X variable do:
For finding the midpoint Y variable do:
(you can either keep the parenthesis or take them out. Either way, the answer is the same.
Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.
x: 13
y: -7
(13,-7).