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avanturin [10]
3 years ago
6

Six pumps working together empty a tank in 28 minutes. How long will it take to empty the tank if 4

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

prob more time ngl

Step-by-step explanation:

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WILL GIVE BRAINLIEST
Papessa [141]
<span>the particle's initial position is at t=0, x = 0 - 0 + 4 = 4m

velocity is rate of change of displacement = dx/dt = d(t^3 - 9t^2 +4)/dt
= 3t^2 - 18t

acceleration is rate of change of velocity = d(3t^2 -18t)/dt
= 6t - 18

</span><span>the particle is stationary when velocity = 0, so 3t^2 - 18t =0
</span>3t*(t - 6) = 0
t = 0 or t = 6s

acceleration = 6t - 18 = 0
t = 3s
at t = 3s, velocity = 3(3^2) -18*3 = -27m/s
displacement = 3^3 - 9*3^2 +4 = -50m


6 0
3 years ago
Read 2 more answers
Select True or False for each statement.
mote1985 [20]
<h2>Answer:</h2>

For a real number a, a + 0 = a.  TRUE

For a real number a, a + (-a) = 1.  FALSE

For a real numbers a and b, | a - b | = | b - a |.  TRUE

For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c).  FALSE

For rational numbers a and b when b ≠ 0, is always a rational number. TRUE

<h2>Explanation:</h2>

  • <u>For a real number a, a + 0 = a.  </u><u>TRUE</u>

This comes from the identity property for addition that tells us that<em> zero added to any number is the number itself. </em>So the number in this case is a, so it is true that:

a+0=a

  • For a real number a, a + (-a) = 1.  FALSE

This is false, because:

a+(-a)=a-a=0

For any number a there exists a number -a such that a+(-a)=0

  • For a real numbers a and b, | a - b | = | b - a |.  TRUE

This is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:

\mid a-b \mid= \mid b-a \mid

  • For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c).  FALSE

This is false. By using distributive property we get that:

(a + b)(a + c)=a^2+ac+ab+bc \\ \\ a^2+ab+ac+bc \neq a+(b.c)

  • For rational numbers a and b when b ≠ 0, is always a rational number. TRUE

A rational number is a number made by two integers and written in the form:

\frac{u}{v} \\ \\ v \neq 0

Given that a \ and \ b are rational, then the result of dividing them is also a rational number.

7 0
3 years ago
Read 2 more answers
Solve for x: x + 8 = 15
love history [14]

Answer:

7

Step-by-step explanation:

x + 8 = 15

Subtracting 8 from both sides,

x = 15 - 8

=> x = 7

6 0
3 years ago
Find the difference between 45 2/3 and 27 1/2 . Express your answer in lowest terms
BARSIC [14]

45 2/3 - 27 1/2 = 18.

8 0
3 years ago
What does is equivalent to 3 5/6?
Vesnalui [34]

Answer:

equivalent fractions of 3/5 are 6/10, 9/15 and 12/20.

Step-by-step explanation:

hope this helped! have a good day<3

6 0
2 years ago
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