Using the given equation of,
V = lwh
The volume of the given prism in the figure is,
V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By factoring,
V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
Eliminating terms appearing in both the denominator and numerator,
V = (x)(2x -5)(6x)
Answer:
$70.80
Step-by-step explanation:
18%=0.18----Covert the percentage as a decimal
60*0.18=10.80----Multiply the dinner cost by the decimal as tax
$10.80+$60.00=$70.80----Add the last number and the price of the dinner to get your total of $70.80.
Have a good day! I hoped this helped
Answer: $1690
Step-by-step explanation: because there are 3 people which means the flat fee would add up to 90 (because 30x3=90). Then you have to multiply 400 by 4 to get how much money they spent for renting the boat (400x4=1600). Lastly you add 1600 and 90 to get the final price. (1600+90=1690).
Answer:
Correct option: A
Step-by-step explanation:
To find the equation of the curve related to x and y, we can isolate t in the first equation and then use the value of t in the second equation:
x = 3 + t -> t = x - 3
y = t^2 - 4 -> y = (x-3)^2 - 4 = x^2 - 6x + 9 - 4 = x^2 - 6x + 5
Looking at the curve, we know it is a parabola. To find its vertex, we can use the formula:
x_vertex = -b / 2a
x_vertex = 6 / 2 = 3
To find y_vertex, we use x = x_vertex in the equation:
y_vertex = 3^2 - 6*3 + 5 = -4
So the vertex is (3, -4)
Looking at the first equation, we can see that an increase in t causes an increase in x, so we know that the parabola is traced from left to right for increasing values of t.
Correct option: A
So a day is 24 hours
24/6=4
4*5=20
so they spend 20 hours a day sleeping
here’s a full on equation
(24/6)*5