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denpristay [2]
3 years ago
15

Sally is hosting an Internet auction to sell n widgets. She receives m bids, each of the form "I want ki widgets for di dollars,

" for i = 1, 2, . . . , m. Characterize her optimization problem as a knapsack problem. Under what conditions is this a 0-1 versus fractional problem?

Mathematics
1 answer:
daser333 [38]3 years ago
5 0

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

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Use the formula to find the length of the radius if the area is 25 square centimeters.
Alexandra [31]

Answer:r = 2.81 centimeters

Step-by-step explanation:

The area of this circle can be found using the formula

A=πr^2

Where r = radius of the circle

π is a constant whose value is 3.14

We are given the area of the circle to be 25 square centimeters. To determine the length of the radius of the circle , we will make r the subject of the formula

r^2 = A/π

Taking square root of both sides of the equation,

r = √A/π

Since A = 25 and π = 3.14,

r= √25/3.14

r = 2.82166323992

Approximating to the nearest tenth of a centimeter,

r = 2.81 centimeters

5 0
4 years ago
Lois and Joe start saving pennies on new years day. Lois has 5 pennies and saves 2 pennies every day. Joe starts with 4 pennies
Mazyrski [523]
Well Your answer is 32 beacuse if lois has 5 pennies and saves 2 and joe start with 4 pennies and saves 6. well what i do first is 2 over 5 and then i do 4 over 6 and then i multiply 5 and 6 and then it 30 and that goes on the bottom and then i multiply 2×6 =12 and then i multiply 4×5=20 so i add both answer and it get me 30 that your answer
4 0
3 years ago
A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 12, length of BC is 11.5. A similar right trian
expeople1 [14]

Answer:

Option D is correct.

Length of PQ is 36 unit.

Explanation:

If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.

Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.

Also it is given that  Angle A is congruent to angle P and angle C is congruent to angle R.

To find the length of QR:

It is given that ΔABC and ΔPQR are Similar triangle

then, by the definition of similar triangle:

\frac{PQ}{AB} = \frac{QR}{BC}

Substitute the value of AB, QR and BC to solve for PQ;

\frac{PQ}{12}=\frac{34.5}{11.5} or

PQ = \frac{34.5 \times 12}{11.5}

On simplify:

PQ = 3 \times 12 = 36

Therefore, the length of side PQ is 36 units.





8 0
3 years ago
Read 2 more answers
Which of the following is the solution to |x-13|<18
serious [3.7K]

Rewrite the inequality without the absolute value

-18 < x - 13 < 18

Add 13 to the whole equation

-18 + 13 < x < 18 + 13

Simplify

<u>-5 < x < 31</u>

3 0
3 years ago
Read 2 more answers
Solve the inequality.
Vika [28.1K]

Answer:

Option C is correct

Step-by-step explanation:

      5c – 20 ≤ 15c + 10

<=> 5c - 15c ≤ 20 + 10

<=>-10c ≤ 30

<=> c ≥ -3

Hope this helps!

6 0
4 years ago
Read 2 more answers
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