By graphing the system of constraints, find the values of x and y that maximize the objective function.

Someone please help I'm so stuck

Trava [24]

The picture won't load, but I would surely help!

7 0

4 years ago

Find the perimeter use 3.14

Alex777 [14]

Hey,
So we have to solve this in multiple steps. Step 1 is to find the circumference of the semi-circle and multiply by three since there are three. Step 2 would be to find the perimeter of the rectangle. Step 3 would be to add those two together.

Step 1: To find the circumference of the semicircle use the formula pi (3.14) times radius (8 ÷ 2 = 4) times 2. After that we will divide by two since there is only half. After that we will multiply that answer by three.
C = 3.14 x 4 x 2
C = 12.56 x 2
C = 25.12

C = 25.12 ÷ 2
C = 12.56

Perimeter = 12.56 x 3 = 37.68

Step 2: To find the perimeter of the rectangle/square add all the sides (8).
Perimeter = 8 + 8 + 8 + 8 = 32

Step 3: Now add the two previous answers to get the final perimeter.
37.68 + 32 = 69.68

Final Answer: 69.68
Hope this helped!

Cheers,
Izzy

8 0

4 years ago

If x = 2, then x second power - 3x -+5

ICE Princess25 [194]

X^2 - 3x + 5
2^2 - 3(2) + 5
4 - 6 + 5
3

3 0

4 years ago

Twenty different books are to be put on five book shelves, each of which holds at least twenty books.

olya-2409 [2.1K]

Answer:

(a) 10,626 different arrangements

(b) 95,367,431,640,625 different arrangements

(c) 2.5852017 × 10²² different arrangements

Step-by-step explanation:

(a) How many different arrangements are there if you only care about the number of books on the shelves (and not which book is where)?

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626 arrangements

(b) How many different arrangements are there if you care about which books are where, but the order of the books on the shelves doesn't matter?

Since the order of the books on the shelves does not matter,

The calculation is given as

5²⁰ = 95,367,431,640,625 arrangements

(c) How many different arrangements are there if the order on the shelves does matter?

Since order matters now

Step 1

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626

Step 2

We find the factorial of the number books

= 20!

= 2,432,902,008,176,640,000

Step 3

The different arrangements there are if the order on the shelves does matter is calculated

= 10,626 × 2,432,902,008,176,640,000

= 2.5852017 × 10²² different arrangements

8 0

3 years ago

If gasoline costs 1.50 euros per liter it will cost how much to drive 220 kilometers

jok3333 [9.3K]

Answer:

$11.79\ euros$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Suppose that a new fuel-efficient European car travels an average of 28 kilometers on 1 liter of gasoline. If gasoline costs 1.50 euros per liter, how much will it cost to drive 220 kilometers ?

step 1

using proportion

Find out the number of liters of gasoline needed for 220 kilometers

so

$\frac{28}{1}\ \frac{Km}{L}=\frac{220}{x}\ \frac{Km}{L}\\\\x=220/28\\\\x=7.86\ L$

step 2

Find the cost to drive 220 kilometers

Multiply the cost of one liter of gasoline by the total liters of gasoline needed to travel 220 Km

so

$1.50(7.86)=11.79\ euros$

6 0

3 years ago