A= there are "4"one fourths in one hour and he hikes 2 miles every hour
B= 1, 1 1/2, 2, 4
C= it going to be 1/3 mile for every 1/6hour and she hikes 2 miles every hour.
D= 2/3, 1, 2, 4
Answer:
x = 1 - 5t
y = t
z = 1 - 5t
Step-by-step explanation:
For the equation of a line, we need a point and a direction vector. We are given a point (1, 0, 1).
Since the line is suppose to be a tangent to the given curve at the point (1, 0, 1), we need to find a tangent vector for which the curve passes through that point.
We have x = e^(-5t)cos5t
at t = 1, x = e^(-5)cos5
at t = 0, x = 1
y = e^(-5t)sin5t
at t = 1, y = e^(-5)sin5
at t = 0, y = 0
z = e^(-5t)
at t = 1, z = e^(-5)
at t = 0, z = 1
Clearly, the only parameter value for which the curve passes through the point (1, 0, 1) is t = 0.
In vector notation, the curve
r(t) = xi + yj + zk
= e^(-5t)cos5t i + e^(-5t)sin5t j + e^(-5t) k
r'(t) = [-5e^(-5t)cos5t - e^(-5t)sin5t] i +[e^(-5t)cos5t - 5e^(-5t)sin5t] j - 5e^(-5t) k
r'(0) = -5i + j - 5k
is a vector tangent at the point.
We get the parametric equation from this.
x = x(0) + tx'(0)
= 1 - 5t
y = y(0) + ty'(0)
= t
z = z(0) + tz'(0)
= 1 - 5t
Answer:
Part A: $55.50
Part B: 52 hamburgers(sorry if I am wrong for part b but I think it is right)
Step-by-step explanation:
Part A: $14.50 x 3= $43.50 + 24 x $0.50= $12=
($ earned per hrs x hrs worked)+ ($ per hamburger sold x times amount)
Hence $43.50 + $12= $55.50.
Part B: $14.50 x 6.5 = $94.25 $120 - $94.25= $25.75
($ earned per hrs x hrs worked x x hrs worked) ($ earned - $ earn from shif
$25.75/0.50=51.5 (51.5 rounded to nearest burgers is 52 burgers)
Hence answer is 52 burgers.
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Thank You
Answer is G mark brainiest please
If you round 13.245 seconds to the nearest tenth, the answer is 13.2 seconds.
Hope this helped!
