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Likurg_2 [28]
2 years ago
9

This is the graph of f(x). What is the value of (2)?

Mathematics
1 answer:
OlgaM077 [116]2 years ago
3 0

Answer:

Step-by-step explanation:

f(2) = 4

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If you need one gallon of gas for 20miles how many gallon do you need for 364 miles?
ad-work [718]

Divide total miles by miles per gallon:

364 miles / 20 miles per gallon = 18.2 gallons

7 0
3 years ago
A factory made about 75,000 robots last year. The actual number of robots made was rounded to the nearest thousand. What is the
Alex777 [14]
The greatest number of robots: 74999
The least number of robots: 74499
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3 years ago
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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 ​people, while each carton of c
lutik1710 [3]

Answer:

  233 cartons of food; 467 cartons of clothing

Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

  40f +25c ≤ 21000

The other expresses the limit on volume.

  20f + 5c ≤ 7000

_____

<u>Feasible Region vertex</u>

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

  5(20f +5c) -(40f +25c) = 5(7000) -21000

  60f = 14000

  f = 233 1/3

The second boundary line equation can be rearranged to find c:

  c = 1400 -4f = 466 2/3

The nearest integer numbers to these values are ...

  (f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

<u>Check of Integer Solution</u>

Trying these in the constraint inequalities gives ...

  • 40·233 +25·467 = 20,995 < 21000
  • 20·233 +5·467 = 6995 < 7000

<u>Selection of the Answer</u>

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

  p = 13f + 6c

The values of p at the vertices are ...

  p = 13·233 + 6·467 = 5831

  p = 13·0 + 6·840 = 5040

  p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

7 0
2 years ago
Please i need help with the answers this is due later on today
Nutka1998 [239]

Answer:

384, 216, 290, 192, 384

1446, 1 roll

Step-by-step explanation:

For rectangular boxes, calculate the sum of each side, then multiply it by two.

Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364

Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290

Box 5 is a cube (all sides equal), so you can find 1 side's area and multiply it by 6.

Box 5: 6(8 x 8) = 384

For triangular boxes, calculate the edges, then find the triangular area using area = 0.5(base x height).

Box 2: (15 x 3) + (9 x 3) + (12 x 3) + 2(0.5)(9 x 12) = 216

Box 4: 2(13 x 2) + (10 x 2) + 2(0.5)(10 x 12) = 192

Total: 364 + 290 + 384 + 216 + 192 = 1446

Rolls of wrapping paper:

Area of 1 roll = 30 x 60 = 1800

Since 1446 is less than 1800, you only need 1 roll of wrapping paper.

8 0
3 years ago
Read 2 more answers
What is x+x+x+x+x+x+x+x+x+x+b+b+b+b+3=
xz_007 [3.2K]

Answer:

10x+4b+3

Step-by-step explanation:

x+x+x+x+x+x+x+x+x+x+b+b+b+b+3

There are 10 x

4 b

and one number

10x+4b+3

8 0
2 years ago
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