Miguel compró 17 botellas de cerveza en el mercado y quiere trasladarlas a su vehiculo. Si solamente puede transportar 3 botellas a la vez, cuál es el mínimo número de viajes que debe hacer para llevar todas las botellas

Answer:

The equation will be y= 3x -9

Step-by-step explanation:

Hope this Helped

The volume of Cone A is 100π cubic ft.

The formula to calculate the volume of a cone is V = (1/3)*π*r²*h, where r is the radius and h is the height of the cone.

If we double the radius and the height of a cone, the volume of the cone will increase four times. Mathematically, this can be shown using the formula. If we double both the radius and the height, the volume will become (1/3)*π*(2r)²*(2h) which simplifies to (1/3)*π*4r²*2h. This simplifies further to 4*(1/3)*π*r²*h which is equal to 4*V, where V is the original volume of the cone.

In the given question, the volume of Cone B is 25π cubic ft. If we double the radius and the height of Cone B, the volume of Cone A will be 4*25π cubic ft or 100π cubic ft.

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Answer:

r = 18.8

Step-by-step explanation:

We use the circle sector area formula and solve for the radius.

I attached the work to your problem. See the attached file.

Answer: nope u get it

Step-by-step explanation:

Answer:

178 text messages

Step-by-step explanation:

You have do 7.05 times 3 and you get 21.15. Then you do 26.70 minus 21.15 and you get 5.55. Then you do 7.05 divided by 47 then you get 0.15.  SO each messages is 0.15 cents so you do 0.15 times 37 and you get 5.55 and then you add 21.15 and 5.55 and you get 26.70. Then you take 141 and add it to 37 and you get 178 as your answer          

Answer:

80\(\leq\)20x+0.1(100)

Step-by-step explanation:

x for the number of days you are trying to find.

$20 to rent the car per day.

$0.1 for every mile driven and she wants to drive 100 miles so $0.1(100).

she cannot spend over 80 so the sign should be equal to $80 or less than.

The integral value of S1 -1 t(1-t)²dt using the distributive property of multiplication is ½t² - ⅔t³ + ¼t⁴ + C.

To evaluate the integral S1 -1 t(1-t)²dt, we can start by expanding the integrand using the distributive property of multiplication:

t(1-t)² = t(1-2t+t²) = t - 2t² + t³

Then, we can integrate each term separately:

∫t dt = ½t² + C1

∫2t² dt = ⅔t³ + C2

∫t³ dt = ¼t⁴ + C3

Putting everything together, we get:

S1 -1 t(1-t)²dt = ½t² - ⅔t³ + ¼t⁴ + C

where C = C1 + C2 + C3 is the constant of integration.

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a. The resultant magnetic field at point P due to currents in the two wires can be determined by vector addition of the individual magnetic fields.

b. Reversing the direction of currents in both wires would result in a reversed direction of the resultant magnetic field at point P.

a. To construct the vector diagram showing the direction of the resultant magnetic field at point P due to currents in the two wires, we can use the right-hand rule for determining the magnetic field direction around a wire carrying current.

For Wire 1, which has the current coming towards us (out of the plane of the paper), the magnetic field direction can be determined by wrapping the right-hand fingers around the wire in the direction of the current, and the thumb will point in the direction of the magnetic field. Let's say the direction of the magnetic field for Wire 1 is from left to right.

For Wire 2, which has the current going into the plane of the paper, we apply the right-hand rule again. Wrapping the right-hand fingers around the wire in the direction opposite to the current, the thumb will point in the direction of the magnetic field. Let's say the direction of the magnetic field for Wire 2 is from right to left.

At point P, which is equidistant from the two wires, the magnetic fields due to the currents in the wires will combine. The resultant magnetic field direction at point P can be found by vector addition. Drawing the vectors representing the magnetic fields for Wire 1 and Wire 2, with opposite directions, we can add them head-to-tail. The resultant vector will show the direction of the resultant magnetic field at point P.

b. If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), the directions of the magnetic fields due to the currents in the wires would be reversed compared to the previous case.

For Wire 1, the magnetic field direction would be from right to left, and for Wire 2, it would be from left to right. Following the same process as in part a, we would draw the vectors representing the magnetic fields for Wire 1 and Wire 2 in their respective reversed directions. Adding them head-to-tail would give us the resultant vector indicating the direction of the resultant magnetic field at point P in this scenario.

Complete Question:

Two wires lie perpendicular to the plane of the paper, and equal electric currents pass through the paper in the directions shown. Point P is equidistant from the two wires.

a. Construct a vector diagram showing the direction of the resultant magnetic field at point P due to currents in these two wires. Explain your reasoning.

b. If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), show the resultant magnetic field at point P.

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Answer:

Just QT and UX

Step-by-step explanation:

QT and TX intersect and are not parallel.

QU and ST are not parallel or intersecting.

QT and WX are not parallel or intersecting.

QT and UX are parallel.

The highest frequency of any score in the histogram would be 5/20 = 0.25.

The score that has the highest frequency is 8. This is determined by counting the number of bars corresponding to each score. In this histogram, there are 5 bars corresponding to the score 8, which is the highest number compared to any other score.

Formulaically, we can calculate the frequency for each score by dividing the number of observations for that score by the total number of observations. For the score 8, this would be 5/20 = 0.25. This is the highest frequency of any score in the histogram.

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Answer:

no

Step-by-step explanation:

no

The solution of the given set of linear equation is x = 1/2, y = 4.

Given set of linear equations:-

2x + 3y = 13  ...(1)

4x - y = -2  ... (2)

Multiplying (1) by 2, we get,

4x + 6y = 26 ...(3)

(3) - (2)

6y - (-y) = 26 - (-2)

7y = 28

y = 28/7

y = 4

Putting the value of y in (2), we get,

4x - 4 = -2

4x = -2 + 4

4x = 2

x = 2/4 = 1/2

x = 1/2

Hence, the solution of the given set of linear equation is x = 1/2, y = 4.

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Answer:

\(\small\mathfrak\red{here \: is \: your \: solution..} \\ \\ we \: know \: that \: tangent \\ from \: a \: same point \: are \: equal \\ \\ tr = 9 | an = 7 | eg = 5 \\ \\ tr = ta | an = gn | eg = re \\ \\ ta = 9 | gn =7 | re = 5 \\ \\ hence \: perimeter \: = 2(9 + 7 + 5) \\ \\ perimeter = 42 \: \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}\)

Option A is correct. A weight below the 5th percentile indicates that the baby's weight is less than 5% of the average weight for infants of the same age.

Percentiles are statistical measures used to compare an individual's measurements to a larger population. In this case, the weight percentile indicates how a baby's weight compares to other babies of the same age. The 5th percentile means that the baby's weight is lower than 95% of babies in that age group. Option A correctly states that a weight below the 5th percentile means the baby's weight is less than 5% of the mean weight, indicating that the baby's weight is significantly lower than the average weight for infants of that age.

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In this scenario, Florin and Guilder are two countries producing two goods, cheese (X) and grain (Y), using labor as the only input. Florin has 3 million workers, each capable of producing 2 blocks of X or 6 wagonloads of Y per year. Guilder has 9.6 million workers, each capable of producing 1 block of X or 4 wagonloads of Y per year. By analyzing their production possibilities frontiers (PPFs) and comparing their labor productivity, we can determine their absolute and comparative advantages, and predict the outcome of free trade.

a) The PPFs for Florin and Guilder can be plotted with X on the horizontal axis and Y on the vertical axis. Given that each country allocates one-third of its labor force to dairy production and two-thirds to wheat farming, we can identify the consumption points (A and A*) where the indifference curves representing their preferences intersect with their PPFs.

b) The PPF equation for Florin can be written as X = 2L/3 and Y = 6L/3, where L represents the labor force. For Guilder, the PPF equation is X = L/9.6 and Y = 4L/9.6.

c) Guilder has the absolute advantage in producing Y as its workers are more productive in Y compared to Florin. However, Florin has the comparative advantage in producing Y because the opportunity cost of producing Y in terms of X is lower for Florin than Guilder.

d) Under free trade, Guilder would export Y and Florin would export X. This is based on the principle of comparative advantage, where each country specializes in producing the good for which it has a lower opportunity cost.

e) When both countries fully specialize and trade, there can be a higher total production of both X and Y compared to the previous consumption points (A and A*). By focusing on producing the goods in which they have a comparative advantage and engaging in trade, both countries can benefit from increased efficiency and resource allocation.

f) To show the new Consumption Possibilities Frontier (CPF) relative to the Production Possibilities Frontier (PPF), we can plot the new CPF by using the given relative price of Y to X (0.3) and connecting the points where each country consumes along the CPF based on their respective comparative advantage and terms of trade.

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Answer:

y = -1x - 7

Step-by-step explanation:

y2 - y1 / x2 - x1

-6 - (-3) / -1 - (-4)

-3/3

= -1

y = -1x + b

-6 = -1(-1) + b

-6 = 1 + b

-7 = b

Points of interval A (-1,-3) and (-2,-6)

Points of interval B is (1,1) and (2,-1)

How to find Piecewise function?

Determine which of the following intervals (or inequalities) the input belongs to before evaluating a piecewise function at any given input. The function specification for that specific interval can then simply be updated to reflect the new input.

\(f(x)=\left \{ {{3x, if x\leq -1} \atop {-2x+3, if 0 < x < 4}}\atop {2, if x\geq 4}\right.\)

lets take 3x as Interval A

-2x+3 as interval B

and 2 as interval C

Now lets calculate the interval A

f(x)=3x

as x≤-1

∴f(-1) = 3(-1)

       =(-3)

∴ point is (-1,-3)

∴f(-2) = 3(-2)

       =(-6)

∴ point is (-2,-6)

Now lets calculate the interval B

f(x)=-2x+3

as 0<x<4

∴f(1) = -2(1)+3

       =-2+3

      =1

∴ point is (1,1)

∴f(2) = -2(2)+3

       =-4+3

       = -1

∴ point is (2,-1)

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Answer:

Im here to help ! :)

Step-by-step explanation:

Its 5 kilometers. Already counting the distance between it, you also count the two locations. SO in total, Its 5 kilometers!

Answer:

4 kilometers

Step-by-step explanation:

you have to count the grid spaces in between the point labelled Gabe's house and the point labeled library. each space is 1 kilometer.

The probability that no less than 4 of the entry forms will include an order = 0.1552

In this question we have been given the magazine mass marketing company has received 14 entries in its latest sweepstakes.

They know that the probability of receiving a magazine subscription order with an entry form is 0.4

We need to find the probability that no less than 4 of the entry forms will include an order.

P(subscription order with an entry form) = 0.4

We know that the formula for a binomial distribution,

P(x) = nCx p^x q^(n - x)

Here, n = 14, p = 0.4

q = 1 - p

  = 1 - 0.4

  = 0.6

We need to find P(x ≥ 4)

P(x ≥ 4) = 1 - [P(x = 1) + P(x = 2) + P(x = 3)]             .......(1)

Using binomial distribution,

P(x = 1) = 4C1 * (0.4)¹ * 0.6³

P(x = 1) = 0.3456

P(x = 2) = 4C2 * (0.4)² * 0.6²

P(x = 2) = 0.3456

P(x = 3) = 4C3 * (0.4)³ * 0.6¹

P(x = 3) = 0.1536

Substitute these values in (1)

P(x ≥ 4) = 1 - [0.3456 + 0.3456 +0.1536]

P(x ≥ 4) = 0.1552

Therefore, the required probability is 0.1552

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Answer:

(6, 2.5 )

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

To find k substitute the coordinate point (5, 3 ) into the equation, that is

3 = \(\frac{k}{5}\) ( multiply both sides by 5 )

15 = k

y = \(\frac{15}{x}\) ← equation of variation

Using (x, 2.5 ) with y = 2.5 , then

2.5 = \(\frac{15}{x}\) ( multiply both sides by x )

2.5x = 15 ( divide both sides by 2.5 )

x = 6

Thus point is (6, 2.5 )

i am horrible in math. help a girl out . 20 points for giving me answers

To find the Maclaurin series of the function f(x) = (6x^2)e^(-7x), we can use the formula for the Maclaurin series of e^x and multiply it by 6x^2. The Maclaurin series of e^x is  e^x = ∑n=0[infinity] (1/n!) x^n

Multiplying by 6x^2, we getx

6x^2 e^x = ∑n=0[infinity] (6/n!) x^(n+2)

Now, we substitute x with -7x to get the Maclaurin series of f(xx

f(x) = (6x^2)e^(-7x) = 6x^2 e^x(-7x) = ∑n=0[infinity] (-42/n!) x^(n+2)

Therefore, the Maclaurin series of f(x) is

f(x) = ∑n=0[infinity] (-42/n!) x^(n+2)

To find the Maclaurin series of the function f(x) = (6x^2)e^(-7x), we can use the formula for the Maclaurin series of e^x and multiply it by 6x^2. The Maclaurin series of e^x is:

e^x = ∑n=0[infinity] (1/n!) x^n

Multiplying by 6x^2, we get:

6x^2 e^x = ∑n=0[infinity] (6/n!) x^(n+2)

Now, we substitute x with -7x to get the Maclaurin series of f(x):

f(x) = (6x^2)e^(-7x) = 6x^2 e^x(-7x) = ∑n=0[infinity] (-42/n!) x^(n+2)

Therefore, the Maclaurin series of f(x) is:

f(x) = ∑n=0[infinity] (-42/n!) x^(n+2)

To find the Maclaurin series of the function f(x) = (6x^2)e^(-7x), we can use the formula for the Maclaurin series of e^x and multiply it by 6x^2. The Maclaurin series of e^x is e^x = ∑n=0[infinity] (1/n!) x^n

Multiplying by 6x^2, we get

6x^2 e^x = ∑n=0[infinity] (6/n!) x^(n+2)

Now, we substitute x with -7x to get the Maclaurin series of f(x)x

f(x) = (6x^2)e^(-7x) = 6x^2 e^x(-7x) = ∑n=0[infinity] (-42/n!) x^(n+2)

Therefore, the Maclaurin series of f(x) is

f(x) = ∑n=0[infinity] (-42/n!) x^(n+2)

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Answer:

89

Step-by-step explanation:

+-l

Answer: y=4

Step-by-step explanation:

4-5y=-16

(-5y +4)+ (-4)= -16 +(-4)

_5y+4-4=-16-4

-5y=-20

5y/5=20/5

2*2

y=4

Answer:

7/(6 + x) = 3/(6 - x)

Step-by-step explanation:

The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph

The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream

Let x represent the rate of the canoe, we have;

7/(v + x) = 3/(v - x)

Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;

7/(6 + x) = 3/(6 - x).

Answer:

670,980 in word form is

six hundred seventy thousand, nine hundred eighty

Hope this helps :D

Answer:

the one above

Step-by-step explanation:

the one above

Answer:

x=5

Step-by-step explanation:

-4=-2-18

-4=-20

x=5

Answer:

65 MPH

Step-by-step explanation:

Speed = Distance/Time

x = 1170/18

x = 65 MPH

The correct answer is 64.87 inches to 75.13 inches.

To find the middle 80 percent of heights, we need to find the values of x that correspond to the 10th and 90th percentiles of the normal distribution with mean 70 inches and standard deviation 4 inches.

Using a standard normal table or calculator, we can find that the z-score corresponding to the 10th percentile is -1.28 and the z-score corresponding to the 90th percentile is 1.28.

So,

x = μ + zσ

x1 = 70 + (-1.28)(4) = 64.88

x2 = 70 + (1.28)(4) = 75.12

Therefore, the middle 80 percent of heights is between 64.88 inches and 75.12 inches, or approximately 64.87 inches to 75.13 inches.

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Answer:

Step-by-step explanation:

\(\boxed{\blue{ 3-\sqrt{3} } }\)

Step-by-step explanation:

\(\bold{\sqrt{3}(\sqrt{3}-1) }\)

\(\bold{\sqrt{3}(\sqrt{3})-\sqrt{3}(1) }\)

\(\bold{(\sqrt{3})^2-\sqrt{3} }\)

\(\bold{ 3-\sqrt{3} }\)