Answer:
x - 2y + 5z = 0
Step-by-step explanation:
The standard equation is of the form, Ax + By + Cz = 0
The equation of the plane that passes through the origin(0, 0, 0) and is perpendicular to [1, -2, 5] is
A = 1, B = -2, C = 5
x = y = z = 0 (at origin)
A(x-0) + B(y-0) + C(z-0) = 0
(x - 0) -2(y-0) + 5(z-0) = 0
x - 2y + 5z = 0
N = 75,000*(1/2)^(h/4) . . . . N = number alive; h = hours
3000 = 75000*(1/2)^(h/4) . . . . . substitute given numbers
1/25 = (1/2)^(h/4) . . . . . . . . . . . . . .divide by 75000
log(1/25) = (h/4)*log(1/2) . . . . . . . take the log, then divide by the coefficient of x
h = 4*log(1/25)/log(1/2) ≈ 18.6 . . . . hours
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Of course log(1/25) = -log(25) = -2log(5), so the expression for h can be written as h = 8log(5)/log(2)
Answer:
.
Step-by-step explanation:
3.PS-15
Challenge The members of the city cultural center have decided to put on a play once a night for a
week. Their auditorium holds 500 people. By selling tickets, the members would like to raise $2,350
every night to cover all expenses. Let d represent the number of adult tickets sold at $6.50. Lets
represent the number of student tickets sold at $3.50 each. If all 500 seats are filled for a
performance, how many of each type of ticket must have been sold for the members to raise exactly
$2,350? At one performance there were three times as many student tickets sold as adult tickets. If
there were 400 tickets sold at that performance, how much below the goal of $2,350 did ticket sales
fall?
The members sold
adult tickets and
student tickets.
Answer:
Step-by-step explanation:
There is 60 min. in 1 hour. 60 ÷ 15 =4. 4×24 = 96
The legs of a right triangle are the sides that are connected to the 90 degree (right) angle. The remaining side is called the hypotenuse.
Another way to look at it is the two legs of a right triangle are the two shorter sides. The longest side is the hypotenuse.
