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umka2103 [35]
3 years ago
13

an astronaut drops a rock into a crater on the moon. the distance, d(t), in meters, the rock travels after t seconds can be mode

led by the function d(t) = 0.8t^2. what is the average speed in meters per second, of the rock between 5 and 10 seconds after
Mathematics
1 answer:
Dimas [21]3 years ago
7 0
Given the distance function d(t) = 0.8t^2, we must derive the formula to get the formula for velocity. The first derivative of a distance function gives the velocity because it shows how the variable (distance) changes over a another variable which is usually time. Following the same line of thought, the second derivative gives the acceleration.

dt = 2(0.8)t = 1.6t = 1.6(10) - 1.6(5) = 8 m/s
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What is 2x² - 3y/2y²-3y where x is -4 and y is - 6​
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NEED CORRECT ANSWER PLEASE! THANKS:)
-BARSIC- [3]
The answer is B. (2x + 5)(x + 1)You could answer this by expanding each answer until you found one that matched 2x^2 + 7x + 5, but I will only show how the answer expands:
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3 years ago
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liraira [26]

Answer:

a) $42,580

b) $43,900

Step-by-step explanation:

Recall, "mode" refers to the value which occurs most frequently.

In this case, the question says that there are 2 modes,

this means $34,000 and $50,500 both share the spot for the most frequently appearing salary.

because there are only 5 employees (and hence 5 salaries), the only possible way that there are two modes is if there are two of each mode, leaving only the last salary unknown.

i.e  if we list the 5 salaries (in no particular order)

$34,000   $34,000  $50,500   $50,500   $ x

where x is the 5th unknown salary.

Given that the mean is $42,100

Then (34,000 + 34,000 + 50,500 + 50,500 + x) / 5 = 42,100

solving for x gives x = $41,500

Now we know all the values, we can rearrange them in increasing value:

$34,000   $34,000  $41,500   $50,500   $50,500  

from this, we can see that the median salary is $41,500

Given that the median salary gets a $2400 raise,

the new median salary = $41,500 + $2400 = $43,900 (Ans for part b)

new mean salary,

= ($34,000  + $34,000 + $43,900 +  $50,500  + $50,500  ) / 5

= $42,580 (answer for part a)

4 0
3 years ago
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