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mr Goodwill [35]
3 years ago
9

1/4k = 3 (-1/4k + 3)​

Mathematics
1 answer:
Arada [10]3 years ago
8 0

Answer:

For the expression \frac{1}{4} k = 3 (-\frac{1}{4}k  +3)

k = 9 is the required solution.

Step-by-step explanation:

Here, the given expression is \frac{1}{4} k = 3 (-\frac{1}{4}k  +3)

Solving the above expression for k, we get:

\frac{1}{4} k = 3 (-\frac{1}{4}k  +3)  \implies  \frac{k}{4}  = (\frac{-3}{4}k) + 9

or, \frac{k}{4}  + (\frac{3}{4}k) =  9 \implies \frac{k + 3k}{4}   = 9

or, \frac{4k}{4}  = 9  \implies   k =9

or, k = 9

Hence for the expression \frac{1}{4} k = 3 (-\frac{1}{4}k  +3)

k = 9 is the required solution.

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He traveled 40 miles in 40 minutes.

40/40 = 1 mile per minute.

60 minutes in an hour

He is traveling at 60 miles per hour.

6 0
3 years ago
Solve the inequality:<br> 2x - 7&lt;-5 or 10x + 5 285
Veronika [31]

Answer:

Inequality form: x < 1

Step-by-step explanation:

6 0
3 years ago
A body of mass 10kg at rest is subjected force of 16N. Find the kinetic energy at end of 20s.​
777dan777 [17]

===================================

\large \sf \underline{Problem:}

  • A body of mass 10kg at rest is subjected force of 16N. Find the kinetic energy at end of 20s.

===================================

\large \sf \underline{Answer:}

\huge \qquad \quad \sf{5,120  \: Joules}

===================================

\large \sf \underline{Solution:}

<em>Firstly</em>, find the acceleration:

  • \sf{A = F/m}
  • \sf{A = 16N/10kg}
  • \sf \pmb{A = 1.6m/s^2}

<em>Secondly,</em> the velocity after 20 seconds will be:

  • \sf{V =u+at}
  • \sf{V =0+1.6m/s^2(20s)}
  • \sf \pmb{V =32m/s}

<em>Lastly</em>, find the kinetic energy:

  • \sf{K=1/2mv^2}
  • \sf{K=1/2(10)(32)^2}
  • \sf{K=5(1024)}
  • \sf{\underline{\underline{\pmb{K=5120\:J}}}}

Hence, the kinetic energy at the end is 5,120 Joules.

===================================

#LetEarthBreathe

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3 years ago
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At the beginning of the day the stock market
Mashcka [7]

The total change in the stock market from the beginning of the day to the end of the​ day is 39(3/4).

<h3>What is a mixed fraction?</h3>

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder.

Given that at the beginning of the day the stock market goes down 50 ¾ points and stays at this level for most of the day. At the end of the day, the stock market goes up 90 ½ points from the low at the beginning of the day.

The total charge will be calculated as:-

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Total change = 90.5 -  50.75

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Total change = 39(3 / 4)

Therefore, the total change in the stock market from the beginning of the day to the end of the​ day is 39(3/4).

To know more about mixed fractions follow

brainly.com/question/26836561

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