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ella [17]
3 years ago
10

The position of an object at time t is given by s(t) = 6 - 14t. Find the instantaneous velocity at t = 6 by finding the derivati

ve.
Mathematics
2 answers:
Lady bird [3.3K]3 years ago
8 0
The inst. vel. is ds/dt = -14, which is independent of time t.  Thus, 
the inst. vel. at time t=6 is -14 units/sec.
LUCKY_DIMON [66]3 years ago
3 0

Answer: -14 m/s

Step-by-step explanation:

Given: The position of an object at time t is given by

s(t) = 6 - 14t

To find the instantaneous velocity, we need to find the derivative of the given function of position with respect to time t, we get

\dfrac{ds}{dt}=\dfrac{d}{dt}(6-14)=-14

Hence, the instantaneous velocity at t = 6 = \dfrac{ds}{dt}=-14 m/s

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What is the solution to 3|–3x + 9| = –18?
Natasha_Volkova [10]

3|–3x + 9| = –18

divide both sides by 3

|–3x + 9| = –6

<span>absolute value cannot be a negative number</span>

<span>Answer: No solutions</span>


4 0
4 years ago
You are standing 24 feet from the base of a tree. The angle of elevation to the top of the tree is 34 degrees. What is the heigh
JulsSmile [24]

Answer:

16.2feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Given the following

Base side = 24feet

angle of elevation = 34degrees

Required

Height of the tree (opposite)

tan theta = opposite/adjacent

tan 34 = H/24

H = 24tan34

H = 24(0.6745)

H = 16.2feet

Hence the height of the tree is 16.2feet

3 0
3 years ago
Find the difference in height between the top of a hill 973 feet high and a crack caused by an earthquake 79 feet below sea leve
mart [117]

Answer:

1052 feet

Step-by-step explanation:

973+|-79|=1052

6 0
4 years ago
in a football tournament at group stage there are five football teams in a group, Brazil, England, Scotland, Argentina and Franc
emmasim [6.3K]

Answer:

6/25

Step-by-step explanation:

Because england, scotland and france are european team and they make up 3/5 of all the teams, you multiply 3/5 by 2/5 because the south american teams are brazil and argentina which make up 2/5 of the total teams. So the probability that a european team will play a south american team is 3/5*2/5 which is 6/25

7 0
4 years ago
Subtract using the number line. −4−(8)
Alja [10]
The answer is -12 because the 4 and 8 are negative
7 0
3 years ago
Read 2 more answers
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