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polet [3.4K]
3 years ago
9

Simplify and give reasons (5/6)³*(6/5)-8​

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer: 776/216

Pls mark me brainliest

very needy for points

Step-by-step explanation:

(⅚)³ × (6/5)

= (5×5×5/6×6×6) × (6×6×6×6×6×6×6×6/5×5×5×5×5×5×5×5)

= 125/216 × 1679616/390625

= 776/216

Hope this helps you

Pls mark me brainliest

very needy for points

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The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f (x )equalsStartFraction x
ankoles [38]

Answer:

The rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities are:

a) 0.52

b) 2.63

Step-by-step explanation:

The rate of change of a function at a given point P can be obtained by evaluating the 1st derivative of the function in P. Thus,

f(x)=\frac{x^2}{2(1-x)}

\frac{df(x)}{dx} = \frac{d(\frac{x^2}{2(1-x)})}{dx} \\\frac{df(x)}{dx}  =\frac{x}{1-x}  + \frac{x^2}{2(1-x)^2} \\\frac{df(x)}{dx} = -\frac{x(x-2)}{2(x-1)^2}

Now for we just need to evaluate in each of the given points

a) \frac{df(0.3)}{dx} =-\frac{0.3(0.3-2)}{2(0.3-1)^2}\\\boxed{\frac{df(0.3)}{dx} =0.520408 \approx 0.52}

b)\frac{df(0.6)}{dx} =-\frac{0.6(0.6-2)}{2(0.6-1)^2}\\\boxed{\frac{df(0.6)}{dx} = 2.625\approx 2.63}

4 0
3 years ago
A baseball team had 70 players show up for tryouts last year and this year had 85 players show up for tryouts. Find the percent
Mashutka [201]

Answer:percent increase in players from last year to this year= 7.14%

Step-by-step explanation:

percent increase = (Increase  in number of players /Initial value of players Last year)  x 100

value of players for tryouts  last year = 70

value of players for tryouts this year = 85

Increase in tryouts = 85-70 =5

percent increase = 5/70 x 100

= 7.14%

3 0
3 years ago
Which statements about the local maximums and minimums for the given function are true? Choose three options.
Nataliya [291]

The statements about the local maximums and minimums for the given function which are true include:

  • Over the interval [2, 4], the local minimum is –8.
  • Over the interval [3, 5], the local minimum is –8.
  • Over the interval [1, 4], the local maximum is 0.

<h3>What is Function?</h3>

This is defined as the mathematical entities which assign unique outputs to given inputs and defines a relationship between the two variables.

According the the graph: over the interval [2, 4], the local minimum is –8 because the given minimum point is (3.4, -8) and over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0 and over the interval [3, 5], there is no maximum point hence why it is false.

Read more about Maximum and minimum point here brainly.com/question/4175575

#SPJ1

5 0
2 years ago
Joaquin took a quiz worth 45 points. He earned 40 points. What was his score
storchak [24]
40 divided by 45 equals about 0.89
so its 89%
5 0
3 years ago
Read 2 more answers
Follow the process of completing the square
ArbitrLikvidat [17]

2x^2 + 8x - 12 = 0..divide by 2

x^2 + 4x - 6 = 0

x^2 + 4x = 6...add 4 to both sides of the equation

x^2 + 4x + 4 = 6 + 4

(x + 2)^2 = 10....<== ur constant is 10

x + 2 = (+-)sqrt 10

x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10

x = -2 - sqrt 10

7 0
3 years ago
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