Average fall rate =
Detailed explanation:
Given that the position of the object is expressed as a function of time, we can compute the average velocity of the object during the first 3 seconds by determining its position at time 0 and at 3 seconds, finding the displacement over that period, and then dividing this distance by the elapsed time (3 seconds). This approach follows the concept that velocity equals distance covered divided by time spent:
Average rate of fall = (h(3) - h(0))/ 3
Average rate of fall =
Which equivalent fraction corresponds to
? -
since
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as
and
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because and
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since 
The answer is
- because and
A fraction is deemed equivalent if it maintains the same value when expressed in simplest terms. The equivalent to is found in the chosen option;
First, halve both the numerator and denominator by 2
Then reduce further
2/2 = 1 and 6/2 = 3; Thus;
Next, multiply both the numerator and denominator by 3
Therefore, equals .
Given:
1 pack = 5 pencils and cardboard.
1 pack should weigh between 60 grams and 95 grams
60g < x < 95g; where x signifies 1 pack.
Cardboard: 15 grams.
95g - 15g = 80g represents the maximum total weight of 5 pencils.
80g / 5 = 16g is the maximum weight for a single pencil.
60g - 15g = 45g is the minimum total weight of 5 pencils.
45g / 5 = 9g is the minimum weight for a single pencil.
9 < x < 16; where x represents a single pencil in the pack.
H (t) = - 16t ^ 2 + 16t + 480
To address this, we first set the polynomial to zero to find its roots.
So we have:
0 = -16t ^ 2 + 16t + 480
This leads us to the roots of the polynomial:
t1 = -5
t2 = 6
We disregard the negative root since time cannot be less than zero.
Final answer:
Rose takes about
t = 6 seconds
There are 290 calories in a cheeseburger and 230 calories in an order of fries. Explanation: When considering 4 cheeseburgers and 5 fries totaling 2,310 calories, and 3 cheeseburgers with 2 fries equating to 1,330 calories, these representations set up equations that yield results regarding calorie counts for each item.
