An= A1 r ^(n-1)
An= -4 (-3)^(n-1)
An= -4 (-3)^(7-1)
An= -4 (729)
An= -2916
I think this is right :)
Answer:
y = (x-3)^2 - 17
Step-by-step explanation:
To complete the square, take the middle term bx and divide it in two. Then take the square.
x^2 - 6x - 8 has bx = -6x. Take -6/2 = -3. Square -3^2 = 9.
Now to finish completing the square add 9 and subtract 9 from one side.
y = x^2 - 6x - 8
y = (x^2 - 6x +9) -9 - 8
y = (x-3)^2 - 17
<span>His previous balance was $321.14
289.14 + 32 = 321.14
hope this helps
</span>
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:
(1)
Where:
- Proportion of the paint that is 30 % gloss. 
- Concentration ratio of the paint that is 30 % gloss.
- Concentration ratio of the paint that is 15 % gloss.
- Resulting concentration ratio
If we know that 
, 
and 
, then the proportion of the paint that is 30 % gloss is:
And the quantity of gallons needed of each paint are:
Paint (30 % gloss)
Paint (15 % gloss)
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478
Answer:
2224.32 cm³
Step-by-step explanation:
La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h
Donde a = Apotema = 9,93 cm
P = Perímetro =
Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm
h = Altura = 28 cm
Por eso,
Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm
= 1/3 × 238.32 × 28 cm
= 2224.32 cm³
Volumen de la pirámide hexagonal = 2224.32 cm³
