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Ilya [14]
3 years ago
14

1 How can + 5 be modeled on a 5 number line? Complete the sentence.

Mathematics
1 answer:
Alexxx [7]3 years ago
5 0

Answer:

-3/5

Step-by-step explanation:

Start at 1/5 then go 4 to the left

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If a university wants to maintain a 14:1 ratio between students and teachers, how many teachers would be needed to accommodate 8
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45 Points! <br> Please help with this it's either B or C
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You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 500cm3. Determ
babymother [125]

Answer:

x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.

Step-by-step explanation:

V= x^2y = 500

Surface area A = x^2 + 4xy.

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So substituting for y in the equation for the surface area:

A = x^2 + 4x * 500/x^2

A = x^2 + 2000/x

Finding the derivative:

dA/dx = 2x - 2000x^-2

dA/dx = 2x - 2000/x^2

This = 0 for a minimum/maximum value of A, so

2x - 2000/x^2  = 0

2x^3 - 2000 = 0

x^3 = 2000/ 2 = 1000

x = 10

Second derivative is  2 + 4000/x^3

when x = 10  this is positive so x = 10 gives a minimum value of A.

So y =  500/x^2

= 500/100

= 5.

6 0
3 years ago
If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x1) or 125 wiffle balls (x2) can be p
andrey2020 [161]

Answer:

b. 300x1 + 125x2 < = 4,000

Step-by-step explanation:

Maximum of 4,000 hours

This means that the the total amount of labor has to be of at most 4,000, that is:

T \leq 4000

300 ping-pong balls (x1) or 125 wiffle balls (x2) can be produced per hour of labor

The total amount of labor is:

T = 300x1 + 125x2

Uniting the two equations:

T \leq 4000

300x1 + 125x2 \leq 4000

And thus the correct answer is given by option b.

6 0
2 years ago
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