Answer:
60 kilometers per hour (kmph) over the limit
Step-by-step explanation:
The speed limit is 60 kmph
Let's find his original rate:
We know D = RT
Where
D is the distance, in km
R is the rate, in kmph
T is the time in hours
He went 10 km in 5 minutes, so we need the time in hours, first. That would be:
5/60 = 1/12 hour
So, putting into formula, we find rate:
D = RT
10 = R(1/12)
R = 10/(1/12)
R = 10 * 12
R = 120 kmph
He was going over by:
120 - 60 = 60 kmph
Answer:
1/2 - 3(1/2 + 1)²
simplify the expression (1/2 + 1)
1/2 - 3•(3/2)²
using PEMDAS, we see we have to evaluate the exponent first
(3/2)² = 9/4
rewrite the equation
1/2 - 3 • (9/4)
multiply 3 by (9/4)
1/2 - (27/4)
subtract
-25/4
(1 + 1/3)² - 2/9
simplify the expression (1 + 1/3)
(4/3)² - 2/9
using PEMDAS, we see we have to evaluate the exponent first
(4/3)² = 16/9
rewrite the equation
(16/9) - (2/9)
subtract
14/9
x(t) = 20t
y(t) = 40t - 5t^2
Since we are only interested in comparing the two at time t = 5 seconds, we plug in 5 everywhere we see the variable t and then compare x and y
x(5) = 20(5) becomes x(5) = 100
y(5) = 40(5) - 5(5)^2 becomes y(5) = 200 - 125 and then y(5) = 75
The ratio of y to x can be expressed as: y/x, so we can say the ratio is equal to 75/100 or 0.75
Answer: 0.75
3.25 x 18 = 58.50
1000 - 58.50 = 941.50
Answer is 941.5
To your question, "K<-5", that is the answer. So the answer is K<-5
