true/false. sum of the values obtained by the two sub-algorithms is at least the optimal value for the fractional knapsack problem

I believe it would be the first answer choice

a.5n^2

n^2 being "the square of a number"

5n^2 is just multiplying 5 and n^2

in other words the product of the square of a number and 5

Answer:

I don't know how it works

Answer:

Horizontal line on the "2" line of the y axis.

Step-by-step explanation:

y=2 means y is constantly at 2, so it would be a horizontal line there.

Answer:

  1.99 radians or 114.02°

Step-by-step explanation:

You want the measure of a circular arc of length 23.88 inches and radius 12 inches.

The equation relating angle, radius, and arc length is ...

  s = rθ . . . . . . s = arc length, r = radius, θ = central angle in radians

Solving for θ gives ...

  θ = s/r = (23.88 in)/(12 in) = 1.99 radians

The corresponding arc measure in degrees is ...

  1.99 radians × 180°/π ≈ 114.02°

The measure of arc AB is 1.99 radians, about 114.02°.

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From the construction of the triangle ABC we get that the measure length of BC is approximately 4.22cm

To construct triangle ABC, we can follow these steps:

To measure the length of BC in triangle ABC, we can use the law of sines.

The law of sines states that in any triangle ABC:

a / sin(A) = b / sin(B) = c / sin(C)

Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.

In our triangle ABC, we know AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. We can find the measure of angle ACB by using the fact that the sum of the angles in a triangle is 180 degrees:

angle ACB = 180 - angle BAC - angle ABC

= 180 - 96 - 35 = 49 degrees

Now, we can apply the law of sines to find the length of BC:

BC / sin(35) = 6 / sin(96)

BC = 6 × sin(35) / sin(96)

Using a calculator, we can evaluate this expression to get:

BC ≈ 4.22 cm

Therefore, the length of BC in triangle ABC is approximately 4.22 cm.

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Answer:

need more information

Step-by-step explanation:

all you told us is what's happening in this picture. that's why you cant get help.

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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y=30 x=60 that should be the answer sorry if it isnt

y=x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

Y=x

Step-by-step explanation:

it's a straight line passing by the center (0,0) at 45°

You can tell because Y is equal to X for every value of X and the points you posted fall in this case.

The median of Restaurant B's food quality ratings is 4.

What is the median?

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.

Food Quality           Frequency           CF

        1                              3                      3

       2                              4                      7

       3                              5                     12

       4                              7                     19 ⇒ median

       5                              6                     25

Total we have 25 ratings, out of those 25 ratings 13th rating is the middle term so it will be our 4.

Thus, the median of Restaurant B's food quality ratings is 4.

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Answer:

the answer is C) 7 inches

Step-by-step explanation:

trust me gurlyyyy

Answer:

7

Step-by-step explanation:

Answer:

51 weeks

Step-by-step explanation:

Let y represent the total amount of water and w represent the number of weeks. We have the equation for each tank below

First tank: y = 204 - 3w

Second tank: y = 306 - 5w

After how many weeks will the amount of water in the two tanks be the same?

204 - 3w = 306 - 5w

204 + 2w = 306

2w = 102

w = 51 weeks

So, after 51 weeks, the amount of water in the two tanks will be the same.

Answer:

the answer is -109

Step-by-step explanation:

To factorize 4x2 + 9x - 13 completely, we will make use of splitting the middle term method. Let's start by multiplying the coefficient of the x2 term and the constant

term 4(-13) = -52. Our aim is to find two

numbers that multiply to give -52 and add up to 9. The numbers are +13 and

-4Therefore, 4x2 + 13x - 4x - 13 = ONow,

group the first two terms together and the last two terms together and factorize them out4x(x + 13/4) - 1(× + 13/4) = 0(x + 13/4)(4x - 1)

= OTherefore, the fully factorised form of 4x2 + 9x - 13 is (x + 13/4)(4x - 1).

The line of fit for the coordinate points (1960, 23) and (2000, 32) is y=9/40 x+418.

The given coordinates are (1960, 23) and (2000, 32).

The line of best fit calculates a straight line that minimises the separation between itself and the locations of the observations in a given data collection. A trend or correlation between the dependent variable and the independent variable is depicted using the line of best fit (s). It can be expressed mathematically or graphically.

In the coordinate points (1960, 23) and (2000, 32)

In (1960, 23), 1960 is x-coordinate and 23 is y-coordinate

In ((2000, 32), 2000 is x-coordinate and 32 is y-coordinate

Here, Slope =(y2-y1)/(x2-x1)

= (32-23)/(2000-1960)

= 9/40

Substitute m=9/40 and (x, y)=(1960, 23) in y=mx+c, we get

23= 9/40 (1960)+c

23= 9×49+c

c=23-441=418

Substitute m=9/40 and c=418 in y=mx+c, we get

y=9/40 x+418

Hence, the line of fit for the coordinate points (1960, 23) and (2000, 32) is y=9/40 x+418.

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Answer: A dilation produces an image similar to the original figure. So, the blue polygon is a dilation of the red figure.

Step-by-step explanation:

The reason why Leslie is wrong is because: D. Her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, a linear function is typically used for uniquely mapping an input variable to an output variable, with the pair of points having a constant of proportionality.

Mathematically, the rate of change can be calculated by using this formula;

Rate of change = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change = (y₂ - y₁)/(x₂ - x₁)

Rate of change = (-3 - (-4))/(0 - (-1))

Rate of change = 1/1

Rate of change = 1

For the other points chosen, the rate of change is given by:

Rate of change = (5 - (-3))/(2 - (-1))

Rate of change = 8/2

Rate of change = 4.

In conclusion, Leslie is wrong is because the rate of change or constant of proportionality for these data points are not the same.

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Complete Question:

Leslie analyzed the graph to determine if the function it represents is linear or non-linear. First she found three points on the graph to be (-1, -4), (0, -3), and (2, 5). Next, she determined the rate of change between the points (-1, -4) and (0, -3) to be (-3 - (-4))/(0 - (-1)) = 1 and the rate of change between the points (0, -3) and (2, 5) to be (5 - (-3))/(2 - (-1)) = 8/2 = 4. Finally, she concluded that since the rate of change is not constant, the function must be linear. Why is Leslie wrong?

Answer:

x² + 4x - 6

Step-by-step explanation:

→ Write coordinates in completed square form

( x + 2 )² - 10

→ Expand out

x² + 4x + 4 - 10

→ Simplify

x² + 4x - 6

Answer:

B.

Step-by-step explanation:

divide the $72 by 4 hours to get a rate of $18 an hour

multiply the $18 by the number of hours you are trying to find (7) and get a total of $126

Answer:

B

Step-by-step explanation:

72/4=18, so 18+18+18=54, and then 72+54=126

Volume of a cylinder = pi * r^2 * h

Where:

pi: 3.14

r= radius

h= height

Replacing:

2,307.9 = 3.14*r^2*15

Solve for r:

2,307.9 / (3.14 *15) = r^2

49 = r^2

√49 = r

7= r

The length of the fence around the triangular land is equal to 180 meters.

The perimeter of a figure is the sum of the side lengths of the figure. Triangles have three sides and we need to determine the perimeter of the triangular land. If we know that l₁ = 55 meters, l₂ = 60 meters and l₃ = 65 meters, then the perimeter of the figure is:

p = l₁ + l₂ + l₃

p = 55 m + 60 m + 65 m

p = 180 m

The length of the fence around the triangular land is equal to 180 meters.

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Answer:

$2000

Step-by-step explanation:

The value of the savings account is

v(m) = 2000(1.005)^m

where m is the number of months.

Compare with the formula for compound interest,

F = P(1 + r)^(nt)

where P = principal amount invested.

Answer: $2000

answer:

alternate interior angles

step-by-step explanation:

Answer:

If they are parallel then they are equal alternayive angle

Step-by-step explanation:

Let the previous weight be 5x.

\(\small\bold\pink{ →}\small\bold{5x = 65.7 }\)

\(\small\bold\pink{ →}\small\bold{x =\frac{65.7}{5}}\)

\(\small\bold\pink{ →}\small\bold{x = 13.14}\)

Therefore, the reduce weight = 4 × 13.14

= 52.56 kg

Answer :- 52.56 kg

Answer:

Step-by-step explanation:

If Katy buys 2 DVDs every 2 weeks, it the same as saying 1 DVD every week.

14 ÷ 2 = 7

2 × 7 = 14

1 × 14 = 14

Answer:21 dvds

Step-by-step explanation:

Set up a proportion in terms of DVDs to weeks and solve.

3/2 = x/14

(2)(x) = (3)(14)

2x = 42

x = 21

Therefore, Katy will buy 21 DVDs in 14 weeks.

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Answer:

39.53

Step-by-step explanation:

Multiply 61 by .4. The answer is 24.4. Subtract 24.4 from 61. This is the sale price after the discount but before the sales tax. The answer to that is 36.6. Multiply 36.6 by .08, the answer is 2.928. Round to the nearest hundreths. Add this to 36.6. You're final answer is 39.53.

Answer:f(x) in order from left to right= -20, 5, 10, 15, 30 i.) -.06 ii.)-40

Step-by-step explanation: f(x) is the answer of 5 times whatever x is, so when it’s telling you what x is all you have to is multiply it by the number next to x which in this case is 5. after doing that you get the answers above. for i.) it’s telling you the answer which is -3, so you divide that by 5 getting -.06. In ii.) it gives you x which is -8 so you plug that in giving you -40.

Answer:

4

Step-by-step explanation:

We can actually make the two equal each other like so:

3d-4=12d/6

Multiply both sides by 6:

18d-24=12d

Add 24 to both sides:

18d=12d+24

Subtract 12d from both sides:

6d=24

Divide by 6:

d=4

4