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2 years ago

Consider the following linear programming problem.

Mathematics

1 answer:

givi [52]2 years ago

4 0

Answer:

This is not worth only 5 pts have a nicer heart. -_-

Step-by-step explanation:

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What is the value of u + v + w when u = –10, v = 4, and w = 8?

Y_Kistochka [10]

The answer is b. 2. It is 2, because -10 plus 4 is -6. Then -6 plus 8 is 2.

5 0

4 years ago

Sylvia plans to place 617 stamps in an album. Each page of the album holds 5 stamps. She uses division to find out how many full

bija089 [108]

Answer:

123 full pages

Step-by-step explanation:

Given

$Total\ Stamps = 617\ stamps$

$Each\ Page = 5\ stamps$

Required

Determine the number of full page

To do this, we simply divide the total stamps by stamps in each page;

$Pages = \frac{Total\ Stamps}{Each\ Page}$

$Pages = \frac{617}{5}$

$Pages = 123.4$

Then we record only the quotient

The quotient is the digits before the decimal

$Pages = 123$

<em>Hence, she has 123 full pages</em>

8 0

3 years ago

A pound of oranges cost $3 less than a pound of pears. Together, 8 pounds of oranges and 4 pounds of pears cost $30. How much wo

jek_recluse [69]

A pound of oranges cost x dollar => A pound of pears cost x+3 dollar

We have: 8x+4(x+3)=30 => 12x=30-12=18 =>x=1.5

5 pounds of pears cost: 5(x+3)=5(1.5+3)=5*4.5= 22.5 (dollar)

5 0

3 years ago

A bank loaned out 16,000 $, part of it at the rate of 6% per year and the rest at 14% per year. If the interest received in on

MakcuM [25]

Answer:

This question requires a comparison between two different variables 6% and 16% values. If we let x=$ loaned on 6% loans and y=$ loaned on 16% loans, then we can relate two equations.

0.06x + 0.16y = $1500 --> referencing the interest earned from each percentage loaned.

x + y = $16000 --> referencing the total amount of money loaned out.

Rearrange either equation and substitute for a value in the other equation or use elimination to determine each individual variable.

Step-by-step explanation:

6 0

3 years ago

Solve the equation. StartFraction dy Over dx EndFraction equals5 x Superscript 4 Baseline (1 plus y squared )Superscript three h

dangina [55]

Answer:

Step-by-step explanation:

To solve the differential equation

dy/dx = 5x^4(1 + y²)^(3/2)

First, separate the variables

dy/(1 + y²)^(3/2) = 5x^4 dx

Now, integrate both sides

To integrate dy/(1 + y²)^(3/2), use the substitution y = tan(u)

dy = (1/cos²u)du

So,

dy/(1 + y²)^(3/2) = [(1/cos²u)/(1 + tan²u)^(3/2)]du

= (1/cos²u)/(1 + (sin²u/cos²u))^(3/2)

Because cos²u + sin²u = 1 (Trigonometric identity),

The equation becomes

[1/(1/cos²u)^(3/2) × 1/cos²u] du

= cos³u/cos²u

= cosu

Integral of cosu = sinu

But y = tanu

Therefore u = arctany

We then have

cos(arctany) = y/√(1 + y²)

Now, the integral of the equation

dy/(1 + y²)^(3/2) = 5x^4 dx

y/√(1 + y²) = x^5 + C

y - (x^5 + C)√(1 + y²) = 0

is the required implicit solution

5 0

3 years ago