5/7 - 2/4<br><br> Please answer asap!

love history [14]

Answer: Simplified, this is -x^2 -2x + 8

4 0

3 years ago

Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon. She decides to add 2 m

Doss [256]

Answer:

By the time she achieves her 26 mile goal Andrea will have run 176 miles.

Step-by-step explanation:

Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:

6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X

14 + 22 + 30 + 38 + 46 + 26 = X

36 + 68 + 72 = X

36 + 140 = X

176 = X

So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.

6 0

3 years ago

a ball is dropped from a height of 20 feet above the ground. The velocity v(s) of the ball after it has travelled a distance of

Lana71 [14]

The initial height is 20 feet above the ground.

The function to model the velocity is

$v(s)=60s$

Where <em>s</em> represents the distance in feet.

Mathematically, this function has all real numbers as a domain. However, that will no make sense for this situation, because it would use negative numbers for the distance <em>s</em> which does not make sense.

Therefore, the domain, in this case, would be all real numbers greater than or equal to zero, but less than or equal to 20.

<em>The reason for this domain is that the ball will go from 20 feet above the ground to zero feet on the ground.</em>

<em />

Using interval notation would be

$D\colon\lbrack0,20\rbrack$

4 0

1 year ago

A company produces three different types of wrenches: W111, W222, and W333. It has a firm order for 2,000 W111 wrenches, 3,750 W

lawyer [7]

Answer:

z (min) = 150090.8 ( monetary units ) ( $ )

x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700

Step-by-step explanation:

wrenches produced in-house ( W111 = x₁ W222 = x₂ W333 = x₃ )

x₁ x₂ and x₃

wrenches produced outside (W111 = x₄ W222 = x₅ W333 = x₆ )

x₄ x₅ and x₆

Objective function:

z = 17*x₁ + 20.40*x₄ + 19*x₂ + 21.85*x₅ + 23*x₃ + 25.76*x₆ to minimize

First constraint: Manufacturing hours: 16500

2.5*x₁ + 3.4*x₂ + 3.8*x₃ ≤ 16500

Second constraint: Inspection hours : 1600

0.25*x₁ + 0.3*x₂ + 0.45*x₃ ≤ 1600

Three demands constraint:

x₁ + x₄ = 2000

x₂ + x₅ = 3750

x₃ + x₆ = 1700

x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 x₄ ≥ 0 x₅ ≥ 0 x₆ ≥ 0 all integers

After 6 iterations with on-line solver the solution is:

z (min) = 150090.8 ( monetary units ) ( $ )

x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700

6 0

3 years ago

Which is longer 2 kilometers or 2 meters

vichka [17]

2 kilos is 1000 times more

6 0

4 years ago

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5/7 - 2/4 Please answer asap!