The time taken by the object to fall from 15 m on the Mercury which has a gravity of 3.7 m/s² is 10.54 seconds.
<h3>What is kinematics?</h3>
It is the study of the motion of a body without considering mass. And the reason behind them is neglected.
The object is on Mercury and starts falling from rest.
As it is on Mercury there is no air resistance to account for.
Gravity on Mercury is 3.7 m/s².
Then the time taken by the object to fall from 15 m will be given as
More about the kinematics link is given below.
brainly.com/question/25638908
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Answer:
i) 4620
ii) 756
Note: to check whether answer is correct, take LCM of answer.
e.g. the answer for the first part is 4620, so once you take LCM of that, the answer should be 3³ × 7 × 2² in its index notation.
Step-by-step explanation:
840 = 2³ × 3 × 5 × 7. 8316 = 2² × 3³ × × 7 × 11
840 = 2³ × 3 × 5 × 7
8316 = 2² × 3³ × × 7 × 11
i) The greatest while number that will divide both 840 and 8316 exactly.
Ans: 2² × 3 × 5 × 7 × 11
= 4620
ii) The smallest whole number that is divisible by both 840 and 8316.
Ans: 2² × 3³ × 7
= 756
HOPE THIS HELPS. TAKE CARE! BYE
Answer:
Let p be the number of pens and let n be the number of notebooks.
4 notebooks + 3 pens cost $96 so 4n + 3p = 96
2 notebooks + 2 pens cost $54 so 2n + 2p = 54
We find n and p by solving the system of linear equations:
4n + 3p = 96
2n + 2p = 54
4n + 3p = 96
4n + 4p = 108 (we multiply this by 2 to cancel out 4n in both equations)
We then subtract the two equations:
(4n + 3p) - (4n + 4p) = 96 - 108
-p = -12
p = 12
So, a pen costs 12 dollars. We can use p to find n. We substitute 12 for p in one of our earlier equations:
2n + 2p = 54
2n + 2(12) = 54
2n + 24 = 54
2n = 30
n = 15
So, a notebook costs 15 dollars and a pen costs 12. Now, we need to find the cost of 8 notebooks and 7 pens:
8n + 7p = ?
8(15) + 7(12) = ?
120 + 84 = 204.
Thus, 8 notebooks and 7 pens cost 204 dollars (why is it so expensive lol).
Step-by-step explanation:
The associative property for multiplication: <em>(a · b) · c = a · (b · c)</em>
Answer:
your awnser should be. 4(x + 7 ) = -36
