Se tienen dos libros: uno de 240 página y otro de 160 páginas. Si los 2 libros están formados por cuadernillos con el mismo número de páginas (entre 16 y 28), ¿cuántos cuadernillos tienen en total los dos libros?

The average change in the volume of water per day is obtained as 0.625  litres.

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

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We can use the given points to find the slope

It means that every year, there are 1.4 million MORE households with personal computers

Answer: 55%

Step-by-step explanation:

The question says that Toronto FC lost 12 of 40 games and drew in 15% of the total games they played. To find the percentage of the games they won, you need to subtract the percentage of games they lost and the percentage of games they drew from 1 since all possibilities add up to 1.

% of games won = 1 - (% of games lost + % of games drawn)

First, Toronto FC lost 12 of 40 games. This means that they lost 12/40 of all games, and this can be simplified to be

3/10

Which is 0.3, or 30%.

Now the questions said that Toronto FC drew in 15% of all games, which means that using the equation from earlier, we can find the percentage of games won.

% of games won = 1 - (30%+15%)

= 1-0.45

= 0.55

Therefore, Toronto FC won in 55% of their games.

Answer:

y-intercept: 3 slope: 1/2

Step-by-step explanation:

Answer: 52 seconds.

Step-by-step explanation:

|-3| + 23 = 26. 26 x 2 = 52.

Estimated change = 11.98 - Objective function value with a right-hand side of 9

To determine how much the objective function is expected to change when the right-hand side of the constraint is increased from 8 to 9, we need to calculate the shadow price or dual value associated with that constraint.

In the given problem:

Objective function: Minimize 3X^2 - 22X + 2XY + Y^2 - 16Y + 60

Constraint: X + 5Y ≤ 8

To find the shadow price or dual value, we can solve the problem using linear programming techniques. However, without access to the specific methodology or algorithm used to solve the problem, I am unable to provide an exact solution or calculate the shadow price accurately.

However, if we assume that the linear programming problem has been solved, and the optimal solution for the original problem with a right-hand side of 8 is X = 3.08 and Y = 0.98, with an optimal objective function value of 11.98, we can estimate the change in the objective function value.

The estimated change in the objective function value can be calculated by subtracting the optimal objective function value with the new right-hand side (9) from the original optimal objective function value (11.98).

Estimated change = 11.98 - Objective function value with a right-hand side of 9

Please note that without access to the specific methodology used to solve the problem or the actual shadow price/dual value, this calculation is an estimation based on the provided information.

To obtain the actual change and re-solve the problem with a new right-hand side of 9, I would need the specific linear programming methodology used to solve the problem or more details on the specific algorithm employed.

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The answer for the admittance Y1 and impedance Z2 looking into the circuit from the dashed line and the current is Y1 = 0.02-j0.02 S and Z2 = 26.09+j18.63 Ω

To find the admittance Y1 and impedance Z2, we need to simplify the circuit from the dashed line. The capacitor and resistor can be combined into a single impedance Z1 = 1/(jωC + R).

Then, using the current divider formula, we can find the current i as i = V/(Z1 + jωL), where V is the voltage across the dashed line and ω is the angular frequency. From there, we can find Y1 = 1/Z1 and Z2 = V/i.

Using the given values, we get Y1 = 0.02-j0.02 S and Z2 = 26.09+j18.63 Ω. These values represent the effective resistance and reactance seen by the dashed line, as well as the current flowing through it.

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In respοnse tο the presented questiοn, we may state that Therefοre, equatiοn Bryant will have tο run 12 meters tο catch up tο Diane. It will take 2 secοnds fοr Bryant tο run 12 meters and catch up tο Diane.

Twο expressiοns are said tο be equal in a mathematical equatiοn. When used in algebra, the equal sign (=) denοtes the separatiοn οf twο sides, which make up an equatiοn. The claim "2x plus 3 =" is used as an example tο demοnstrate that "2x plus 3 equals the number "9"."

Finding the value οr values οf the variable(s) necessary fοr the equatiοn tο hοld true is the gοal οf equatiοn sοlving. Depending οn their cοmplexity, regularity, and number οf elements, equatiοns can be straightfοrward οr cοmplex. Accοrding tο the fοrmula "x² + 2x - 3 = 0," the variable x is raised tο the secοnd pοwer. Numerοus mathematical disciplines, including geοmetry, calculus, and algebra, use lines.

Diane starts 2 metres ahead of Bryant, so the distance she runs is d – 2 metres.

\($\begin{array}{l}{{d=6t(B r y a n t^{\prime}s d i s t a n c e)}}\\ {{d-2=5t(D i a n e^{\prime}s d i s t a n c e)}}\\ {{d=6t.}}\\ {{6t-2=5}}\\ {{t=2}\\ d=6t= 6(2)=12}\end{array}$\)

Bryant will therefore need to run 12 metres to catch up to Diane.

Bryant will need to run 12 metres in 2 seconds in order to catch up to Diane.

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Mutually exclusive events are two events that cannot occur at the same time. The conditional probability of B given A is also equal to zero, since P(B|A)=P(A and B)/P(A)=0.

This means that their intersection is empty, or P(A and B)=0.This also means that their union is the sum of individual probabilities, P(A)+P(B). This is because the intersection of two mutually exclusive events is equal to the product of their probabilities, or P(A and B)=P(A)P(B). Therefore, the probability of either event occurring is the sum of the probability of each event since the intersection of both events is zero. As a result, the conditional probability of B given A is also equal to zero, since P(B|A)=P(A and B)/P(A)=0.

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The estimated probability that the candidate obtains a score greater than or equal to 10 is 0.7234, rounded to four decimal places, so the answer is (A).

The number of correct answers that the candidate gets is a binomial random variable with parameters n = 40 (number of trials) and p = 1/5 (probability of success). We want to find the probability that the candidate gets a score greater than or equal to 10, which is equivalent to getting 10 or more questions correct.

Using the normal approximation to the binomial distribution with continuity correction, we can approximate the distribution of the number of correct answers by a normal distribution with mean μ = np = 40 * 1/5 = 8 and variance σ^2 = np(1-p) = 40 * 1/5 * 4/5 = 6.4.

To find the probability that the candidate gets 10 or more questions correct, we can standardize the normal distribution and use the standard normal distribution table or R to find the probability.

Let X be the number of correct answers. Then, we have:

P(X >= 10) = P((X - μ) / σ >= (10 - μ) / σ)

= P(Z >= (10 - 8) / sqrt(6.4)), where Z is a standard normal random variable.

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Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

Answer:

By translating the function cos(x) 90 degrees to the right.

Step-by-step explanation:

The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.

If you're wondering why the diagram shows a shift in

\(\pi / 2\)

That's just the equivalent to 90 degrees in radians.

Answer:1.24

2.7 27/56

3.3/4

4.1 2/3

Step-by-step explanation:

True.

If adding two positive integers results in a negative number, it means that an overflow has occurred. The overflow flag is set when the result of an operation is too large to be represented with the given number of bits.
If bx and dx both contain positive integers and adding them produces a negative result, the overflow flag will be set. This is because when two positive integers are added, the result should also be a positive integer. If the result is negative, it means there was an overflow during the addition process, and the overflow flag will be set to indicate this issue.

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Answer:

$3,650 in total

Step-by-step explanation:

If you calculate

Answer:

15 blue cars

Step-by-step explanation:

multiply

4 x 5 = 20

3 x 5= 15

Answer:

What’s the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 1. 42,000 2. 118,200,000 3. 2,960 4. 34,000 5. 6,240,000 6. 720,000,000 7. 910,000 8. 571,000

Answer:

15 hegevwyegecceccr

Step-by-step explanation:

5+3+0+7=15

Answer:

The digital root of 5307 is 6

Step-by-step explanation:

Answer:

5/8 * 100 = 62.5 %

Answer:

1. P = 125 + 50w

2. I can't make a graph on your image, (since there are no increments) but the image attached is an image of a graph on desmos.

3. The y intercept represents the original 125 pounds of aluminum cans he starts with, and the slope represents the aluminum cans he collects.

Step-by-step explanation:

Answer:

1) He earns $288 a week

2) 270.20

3) 226.97

4) 215. 62

6) 967.68

Step-by-step explanation:

Answer:

-42-2i

Step-by-step explanation:

a. Point-slope form is: y - y0 = m(x - x0). Plugging in our values, we get: y - 2 = -3(x - 11). Typically we can just leave it like this, but for the sake of simplifying it down to slope-intercept form, it would be y = -3x + 35.

b. y - 2 = -3((0) - 11)

y - 2 = 33

y = 35.

c. y = -3x + 35.

Edit: Bolded the last answer.