Un ascensor está en el segundo subsuelo, sube
seis pisos, luego baja cinco, vuelve a subir ocho
y finalmente baja trece. /En qué piso se quedó

Answer:

47.7

Step-by-step explanation:

length x width x height

6 x 3 x 2.65

2.5 cm, 6.5 cm, and 6 cm are the sides of a right triangle.

The sides of a triangle are 2.5 cm, 6.5 cm, and 6 cm in length.

The Pythagorean Theorem states that The sum of the squares representing the base and height equals the square of the hypotenuse.

\((Perpendicular)^{2}+(Base)^{2}=(Hypotenuse)^{2}\)

                        \((2.5)^{2}+(6)^{2}=(6.5)^{2}\)

                            6.25 + 36 = 42.25

                                  42.25 = 42.25

The sides offered satisfy the specifications for a right triangle.

Given that it satisfies the Pythagorean theorem, a right triangle with sides of 2.5 cm, 6.5 cm, and 6 cm can be built.

Hence, 2.5 cm 6.5 cm 6 cm can be the sides of a right triangle.

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The circles with the specified angle of internal sectors, indicates that we get the following arc and radial lengths;

2. m∠ADC = 160°

m∠BDC = 160°

3. Length of \(\widehat{CB}\) ≈ 11.17 inches

4. Length of \(\widehat{ABC}\) ≈ 13.96 inches

5. a. The radius of ⊙ Q ≈ 14.324 inches

The radius is the straight line extending from the circle center to the circumference. The radius is the shortest distance from the circle center to the circumference of the circle.

Angle ∠ADC is congruent to ∠BDC in the circle with center D

∠ADC ≅ ∠BDC

2. ∠ADC ≅ ∠BDC, therefore;

m∠ADC = m∠BDC

The angle sum property of the angle at the center of a circle, indicates that we get;

40° + m∠ADC + m∠BDC = 360°

Therefore by plugging in m∠ADC = m∠BDC, we get;

40° + m∠ADC + m∠ADC = 360° (substitution property)

40° + 2 × m∠ADC = 360°

2 × m∠ADC = 360° - 40° = 320°

m∠ADC = 320° ÷ 2 = 160°

m∠ADC = 160° = m∠BDC

m∠BDC = 160°

3. The length of the arc \(\widehat{CB}\), can be obtained from the proportion of the circumference of the circle D represented by the sector BDC as follows;

Length of the arc \(\widehat{CB}\) = ((m∠BDC)/360°) × 2·π·r

Where;

r = The radius of the circle

The radius of the circle, r = 4 inches

Therefore; Length of the arc \(\widehat{CB}\) = (160°/360°) × 2 × π × 4 ≈ 11.17

4. The length of the arc \(\widehat{ABC}\) can be found as follows;

The angle at the center of the arc \(\widehat{ABC}\) = 40° + m∠BDC

Therefore; The angle at the center of the arc \(\widehat{ABC}\) = 40° + 160° = 200°

5. The length of the arc \(\widehat{AB}\) = 15 inches

The angle formed by the sides AQ and BQ of the sector AQB = 60°

Therefore, we get;

length of the arc \(\widehat{AB}\) = (60°/360°) × 2 × π × r = 15 inches

r = 15/((60°/360°) × 2 × π) ≈ 14.324

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2 candy equally distributed to each friend.

Given in the question is that:

Total number of pieces of candy are 8

and, shared equally among 4 friends

To find the which equation shows the shared equally among 4 friends.

Now, According to the question:

Based on the given conditions :

Formulate;

Total number of pieces of candy are = 8pieces.

For equally distribution divide by numbers of people.

= 8/4

Simplify, Cross out the common factor

= 2

It means, 2 candy equally distributed to each friend.

Hence, 2 candy equally distributed to each friend.

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Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.

Taking the derivative of the numerator:

d/dθ [1 - sin(θ)] = -cos(θ)

Taking the derivative of the denominator:

d/dθ [1 + cos(6θ)] = -6 sin(6θ)

Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:

lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))

When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:

= 0 / (-6)

= 0

Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.

Answer:

d = 6

Step-by-step explanation:

Since the line is horizontal then the distance from B to C is the distance between the x- coordinates.

d = | - 3 - 3 | = | - 6 | = | 6 | = 6

Answer:

option C

Step-by-step explanation:

\(distance, d = \sqrt{(x_B- x_C)^2 + (y_B - y_C)^2}\)

               \(=\sqrt{(-3 -3)^2 + (6 - 6)^2 }\\\\=\sqrt{(-6)^2 + 0 }\\\\=\sqrt{36}\\\\= 6\)

Answer:

0.36

Step-by-step explanation:

0.6 squared is 0.36

it is essentially 6 times 6 but as a decimal

Answer:you have to multiply the two fours which equals 16 and then because there is a negative sign, your answer would be -16

Step-by-step             Its an other expression to use

Answer:

D. He answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds​.

Step-by-step explanation:

In the first equation he earns 5 points and loses 3 points. The value of one question is 5 points, and the value of losing one question is 3 points. The same goes for the second equation except the fact that its 10 points and 4 points lost instead.

Answer: 24

Step-by-step explanation: 58 = 2z - 10

58 - 10 = 48 = 2z

z = 24

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

8.39 seconds

Step-by-step explanation:

Given the equation which models the height of a rocket:

y=-16x^2+263x+92

Time taken to reach maximum height ; = total total time of flight / 2

Total time of flight is obtained at h = 0

Hence +,

y=-16x^2+263x+92 ; y = 0

-16x^2+263x+92 = 0

Using the Quadratic equation solver :

X = 16.78 or x = -0.3466

Time can't be negative

Hence, total time of flight= 16.78

Therefore, time taken to reach maximum height :

Total time of flight / 2

= 16.78 / 2

= 8.39 seconds

Answer:

10

Step-by-step explanation:

il s' agit de savoir combien de pièces peuvent être découpées en heure. ici on cherche le rendement de pièces par heure.

donc, on sait que 90 mn = 1h30

quel est le nombre de pièces fabriquées en 1heure soit 60minutes?

on peut aussi représenter ça en fraction:

15. ??

90 et. 60

ensuite, il s' agit de savoir si on veut connaître le randement (rate) de production pour 90 minutes. puis le multiplier par 60 pour savoir combien de pièces sont fabriquées en 60 minutes.

15:90 = 1.666667 puis 1.666667x60= 10.

on peut aussi utiliser le produit en croix:

15x60= 900 puis 900:90= 10.

bon courage!

Step-by-step explanation:

I believe its D Hopefully I'm right

Answer:

your answer is B becausewe can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = - 3.

Answer:

The answer is C, I just took the quiz in CAVA :))

FYI: C is f(x)=−1/6x not f(x)=−16x

Let L be a context-free language. Then there exists an n≥1 such that for any string w∈L with ∣w∣≥n, there exist strings x,y,z,u,v satisfying the conditions: i. ∣yzu∣≤n, ii. ∣y∣+∣u∣>0, and iii. xyizuiv∈L for all i≥0. Using this, we can show that the language L={ai3∣i≥2} is not context-free.

The Pumping Lemma is a useful tool to prove that certain languages are not context-free. It states that for any context-free language L, there exists a pumping length n such that any string in L with length at least n can be divided into five parts: x, y, z, u, and v. These parts satisfy the conditions mentioned above.

Now, let's apply the Pumping Lemma to the language L={ai3∣i≥2}. We assume that L is context-free. Therefore, there exists a pumping length n such that any string w∈L with ∣w∣≥n can be divided into x, y, z, u, and v satisfying the conditions.

Considering the properties of L, we know that every string in L has the form a^n3, where n is greater than or equal to 2. Now, if we choose a string w=a^n3 from L, we can divide it into x, y, z, u, and v as per the Pumping Lemma.

Next, we choose i=0, which allows us to pump down the number of 'a's in the string. However, this contradicts the condition that xyizuiv∈L for all i≥0, as pumping down the 'a's would result in a string that does not belong to L.

Hence, we have reached a contradiction, which proves that the language L={ai3∣i≥2} is not context-free.

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Answer:

Part 1 : 22

Part 2 : 34

Step-by-step explanation:

The cost of an afternoon ticket is $12.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

Let x = cost of an afternoon ticket

If a ticket to an evening performance of a play costs $3 more than a ticket to an afternoon performance, then

cost of an evening ticket = 3 + x.

If 8 evening tickets is the same price as 10 afternoon tickets, then

8(3 + x) = 10x.

Simplify the equation and solve for the value of x.

8(3 + x) = 10x

24 + 8x = 10x

2x = 24

x = 12

cost of an afternoon ticket = $12

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For a tapered cylinder with a taper per foot (T) of 0.75, 0.85, and 0.95, and given that the initial radius (R) is 4 in.

To find the length (L) for each taper per foot (T), we can rearrange the formula T= 24(R-r)/L to solve for L. Substituting the given values of R=4 in. and r=3 in., we have:

0.75 = 24(4-3)/L

0.85 = 24(4-3)/L

0.95 = 24(4-3)/L

Simplifying these equations, we get:

0.75L = 24

0.85L = 24

0.95L = 24

Dividing both sides of each equation by the corresponding coefficient, we find:

L = 24/0.75

L = 24/0.85

L = 24/0.95

Evaluating these expressions, we get:

L ≈ 32 in.

L ≈ 28.24 in.

L ≈ 25.26 in.

Therefore, the length (L) for taper per foot values of 0.75, 0.85, and 0.95, with R=4 in. and r=3 in., are approximately 32 in., 28.24 in., and 25.26 in., respectively.

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Raphael could finish the job in 3/2 hr = 90 min. Matilde could finish the job in 3 hr.

Let M denote for matilde

R for Raphael.

I assume they worked on the task together to finish it in 1 hr.

M does 1/M of the job per hr.

R does 1/R of the job per hr.

(1/M + 1/R) * x hr = 1 whole job completed

We are told x = 1 hr, so that's done.

We are told M's rate of work is 1/2 of R's

R's rate of work is 1/R

1/2 * 1/R = 1/2R

substitute 1/2R for 1/M

(1/2R + 1/R) * 1 hr = 1 whole job completed

solve

(R+ 2R)/ 2R^2 = 1

3R /2R^2 = 1

3R = 2R^2

2R^2 -3R = 0

R(2R-3) = 0

R = 0 or 2R = 3

However, if R could do the work in 0 hours, then his rate of work would be undefined.

Therefore, we select 2R = 3, which means R= 3/2.

R can do the whole job in 3/2 hr working alone.

M can do the whole job in 2*3/2 = 3 hr working alone.

We can check this solution to be sure it is correct.

In 1 hr, R can do 2/3 of the job.

In 1 hr, M can do 1/3 of the job

2/3+1/3 = 1.

We also can substitute in the original equation as double-check.

(1/3 + 1/(3/2))*1 = 1 ??

(1/3 + 2/3) = 1

Answer: R could finish the job in 3/2 hr = 90 min. M could finish the job in 3 hr.

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Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

<95141404393>

Step-by-step explanation:

Statements

Reasons

1. PQ || MN

1. Given

2. O is the midpoint of NP

2. Given

3. NO = OP

3. Definition of midpoint

4. ∠ZMO = ∠QOP

4. Alternate interior angles are congruent (corresponding angles of parallel lines)

5. ∠LNMO = ∠LPQO

5. Alternate interior angles are congruent (corresponding angles of parallel lines)

6. ΔMNO ≅ ΔPRO

6. Angle-side-angle (ASA) congruence theorem

7. AMNO ≅ AQPO

7. Corresponding parts of congruent triangles are congruent (CPCTC)

1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.

2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.

3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.

4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.

5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.

6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.

7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.

1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.

This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.

To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.

However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.

This led to the development of the modern pickup truck, which is now a staple of the American automobile market.

2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.

Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.

3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.

However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.

4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.

In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.

However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.

5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.

6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.

However, they may be necessary for individual companies to remain competitive in the short term.

Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.

7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.

While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.

In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.

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Answer:

On the test I took the correct answer is c

Step-by-step explanation:

I took the test

The modulus= 27 and Argument = π/3

The angle inclining from the real axis in the direction of the complex number shown on the complex plane is known as the argument of a complex number.

Given:

z = √3 (cos (π/18) + i sin (π/18))\(^{6\)

Now, z = \((\sqrt{3}) ^6\) (cos (π/18) + i sin (π/18))\(^{6\)

z = 27 (cos (π/18) + i sin (π/18))\(^{6\)

As, A complex equation can be expressed as:

z \(= |z |e^{i\theta\)

where z= Modulus and \(\theta\) is an argument

and, \(e^{i\theta =\) cos (π/18) + i sin (π/18)

Then, z = 27 (\(e^{i(\(\pi/18)}^6\))

and  \(e^{i\theta =\) \(e^{i(\(\pi/18)}^6\)

Now comparing

\(i\theta =i \pi/18\) x 5

\(\theta = \pi/3\)

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Answer:

10

Step-by-step explanation:

The y intercept is when the slope crosses the y axis of the graph, we can find this by looking for the value at x=0. From the graph we can see that y=10 at x=0.

Answer

6y² + 2xy + 2x

Explanation

8y² + 7xy - 2y² - 5xy + 2x

We can collect like terms by bringing the expressions that are similar together

8y² - 2y² + 7xy - 5xy + 2x

= 6y² + 2xy + 2x

Hope this Helps!!!

The expression given is:

One property of exponents that we know is:

We use this property shown above to simplify the expression:

Now, we use the power property of exponents, which is:

to simplify our expression, fully:

Using the property:

we can write the answer as:

From the choices, given, we can say:

• 2nd choice is correct

• 3rd choice is correct