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3 years ago

The following graph shows the relationship between cost and revenue for a manufacturer of lab coats.

Mathematics

2 answers:

nataly862011 [7]3 years ago

6 0

Answer:

Option a.

I and III

Step-by-step explanation:

Observing the graph

For n=400 coats

The cost is about $2,200

and

The revenue is less than $1,400

Substitute the value of n=400 in each equation to find the solution

I Cost 1.5(400)+1,600=$2,200 ----> is ok

II Cost 4.5(400)+1,600=$3,400 ----> is not ok ( is greater than $2,200)

III Revenue 3.25(400)=$1,300 ----> is ok ( is less than $1,400)

IV Revenue 5.75(400)=$2,300 ----> is not ok ( is greater than $1,400)

therefore

The solution is I and III

Masja [62]3 years ago

3 0

Answer:

Step-by-step explanation:

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rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

$a=g=-9.8 m/s^2$ is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

$t_1 = -0.41 s$

$t_2=5.92 s$

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

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3 years ago

you must attend a minimum of 85% of the practices in order to play in the playoffs you have made 37 of the 42 practices will you

Deffense [45]

Yes, you'd be able to play.
37/42 = .88 = 88%
So you've attended more than 85% of the practices.

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3 years ago

Larry and his friend split the dinner bill evenly.

neonofarm [45]

Answer:

42.68

Step-by-step explanation:

21.34 * 2= 42.68

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3 years ago

Convert 17 years into minutes

Setler79 [48]

Answer:

8,941,136.4 Minutes/ 8,935,200 Minutes

Step-by-step explanation:

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3 years ago

Read 2 more answers

Solve these equation<br>|2x+1|=|x-2|

bagirrra123 [75]

Step-by-step explanation:

2x+1x= -2+1

3x= -1

3x÷3= -1÷3

x=|-3.3333..|=3.33333.. or

$\frac{1}{3}$

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3 years ago