Answer:
a. θ = 6t
b. 1.048 minutes
c. y = 54sin(6t)
Step-by-step explanation:
diameter d = 108 foot
distance above the ground = 58 feet
a.) expression to represent number of radians
radian = 6 rad/min
θ = wt
w = 6
θ = 6t
t is in minutes
b.) we are to find the time period for one full revolution
time period = 2π/6
π = 22/7
= 1.048 minutes
c. Expression showing Justins height above the ground
y = rsinθ -----(1)
θ = wt = 6t
we find the radius r
diameter = 2 * radius
108 = 2r
r = 108/2
= 54 foot
we put these values in the equation 1 above
y = 54sin(6t)
Answer:
The correct option is B) 26x26x10^4.
Step-by-step explanation:
Consider the provided information.
It is given that the Wisconsin consist of 2 letter and 4 digits. And two letters always precede the digits.
There are 26 Alphabet so that means for alphabets we have 26 choices also we for digits we have 10 choices (0 to 9).
However, only digits can repeat. For first letter we have 26 choices for second we have only 25 choices left, similarly for digits we have 10 choices but repetition is allow so we can choose same number. the number of possible plates are:
26×25×10×10×10×10
Which also can be written as:
Hence, the correct option is B) 26x26x10^4.
8 is in the ones place, so its value is equal to 8. The 5 is in the tens place, so the value is equal to 50. You can use this to help you:
Ones: Multiply the number in the ones place by one, and you'll get its value.
Tens: Multiply the number in the tens place by 10, and you'll get its value.
So on and so forth...
Answer:
y = 2x/3 + 0 for x < 0
y = -3x for x ≥ 0
Step-by-step explanation:
Blue line
line rises 2 units for each 3 units of run so slope is 2/3, intercept is 2
y = 2x/3 + 0 for x < 0
Red line
line falls 3 units for each 1 unit of run so slope is -3, y intercept is 0
y = -3x