Answer:
h(t) = -16t^2 + 40t + 120
h(t) = -16(t^2 - 5/2*t) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2 - (5/4)^2) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2 - 25/16) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2) + 120 + 25
h(t) = -16(t - 5/4)^2 + 145
The rock needs 5/4 = 1.25 seconds to travel to the highest point wich is 145 m high.
Answer:
1150 km/hr
Step-by-step explanation:
Formula for Average Speed is given as = Distance in Kilometers/ Time in Hours
In the question we are given the following parameters.
The length of a planet's orbit around a star = Distance = 17,650,000 km.
Time taken to complete a full orbit = 640 Earth days
Step 1
We need to convert the time in days to hours
1 Earth day = 24 hours
640 Earth days =
We cross multiply
640 Earth days × 24 hours
= 15360 hours.
Step 2
Average Speed = Distance in Kilometers/ Time in Hours
Average Speed = 17,650,000 km. /15360 hours
Average Speed = 1149.0885417 km/hr
Approximately to 3 significant figures=
1150 km/hr
Therefore, the planets average speed in kmh-1 to 3sf is 1150 km/hr
Correlation between x & y is 0.6125.
In probability theory and statistics, the cumulative distribution function of a real-valued random variable X, or simply the distribution function of X weighted by x, is the probability that X takes a value less than or equal to x.
The cumulative distribution function (CDF) of a random variable X is defined as FX(x)=P(X≤x) for all x∈R. Note that the subscript X indicates that this is the CDF of the random variable X. Also note that the CDF is defined for all x∈R. Let's look at an example.
Learn more about cumulative distribution here: brainly.com/question/24756209
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You can first multiply your coefficients (7x9), which gives you 63. You can then simplify the exponents by using the rule that when two terms with the same variable are being multiplied, you can simplify by adding exponents. Since 7+3= 10, your simplified answer would be 63x^10 :) hope it helped!
Because when you subtract a negative number the signs cancel out and become and addition problems
