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¿Qué enunciados describen el movimiento en la imagen?

A. El hombre no está en movimiento con respecto a la boya.

B. El barco está en movimiento con respecto a la boya.

C. El hombre está en movimiento en relación con el barco.

D.El hombre no está en movimiento con respecto al bote.

C. El hombre no se mueve en relación con la caña de pescar.

(a) A random sample of 15 individuals, the mean of the sampling distribution (μx) is 0.5, and the standard deviation (σx) is approximately 0.074.

(b)  A random sample of 60 individuals, the mean of the sampling distribution (μx) is 0.5, and the standard deviation (σx) is approximately 0.037.

(a) For a random sample of 15 individuals, the mean and standard deviation of the sampling distribution of x can be calculated using the following formulas:

μx = μ = 0.5 (since the population mean is given as μ = 0.5)

σx = σ / √n

= 0.289 / √15

≈ 0.074 (rounded to three decimal places)

Therefore, for a random sample of 15 individuals, the mean of the sampling distribution (μx) is 0.5, and the standard deviation (σx) is approximately 0.074.

(b) Similarly, for a random sample of 60 individuals, we can calculate the mean and standard deviation of the sampling distribution using the same formulas:

μx = μ = 0.5

σx = σ / √n

= 0.289 / √60

≈ 0.037 (rounded to three decimal places)

Therefore, for a random sample of 60 individuals, the mean of the sampling distribution (μx) is 0.5, and the standard deviation (σx) is approximately 0.037.

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Answer:

Area of sector of circle = 7.6302 inches (Approx.)

Step-by-step explanation:

Given:

Angle of section = 35°

Radius of circle = 5 inch

Find:

Area of shaded section

Computation:

Area of shaded section  = Area of sector of circle

Area of sector of circle = [θ/360][πr²]

Area of sector of circle = [35/360][(22/7)(5)²]

Area of sector of circle = [0.0972][(3.14)(25)]

Area of sector of circle = [0.0972][78.5]

Area of sector of circle = 7.6302 inches (Approx.)

The potato is in the air for approx. 1.0625 seconds.

The actual cost of manufacturing 24 coffee makers is $1,755.67.

a. To find the time that a potato is in the air, use the quadratic equation formula where a=-16,

b=34, and

c=42. `

t = (-b ± sqrt(b²-4ac))/2a`.

Let's start by finding the discriminant first. `b²-4ac = (34)²-4(-16)(42)

= 1156`.

Substitute the values of a, b, and c into the quadratic formula.

t = (-34 ± sqrt(1156))/-32

= (-34 ± 34)/-32`.

There are two solutions to the quadratic equation. Thus, we need to check if there are any negative values for time.

t = (-34 + 34)/-32

= 0.

t = (-34 - 34)/-32

= 1.0625`.

Therefore, the potato is in the air for 1.0625 seconds.

b. To find the actual cost of manufacturing 24 coffee makers, substitute x=24 into the cost function

C(x) = 155 + 66x + x²/36`.

C(24) = 155 + 66(24) + 24²/36

= 155 + 1584 + 16.67`. `

C(24) = 1755.67`.

Therefore, the actual cost of manufacturing 24 coffee makers is $1,755.67.

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True, an iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because iterative algorithms use loops to repeat a set of instructions, whereas recursive algorithms call themselves repeatedly until they reach a base case.

An iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because recursive algorithms often involve function calls, which have overhead costs such as saving and restoring the call stack. In contrast, iterative algorithms use loops and do not require the same overhead, making them more efficient in terms of both time and memory usage.

However, it's important to note that some problems may be more elegantly or intuitively solved using recursion, even if it's less efficient. The repeated function calls in a recursive algorithm can lead to slower performance and higher memory usage compared to the more direct approach of an iterative algorithm.

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The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

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The correct statement regarding the variation of the two measures is given as follows:

C. Yes, they vary directly. When one quantity increases, the other quantity also increases.

For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.

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Answer:

X is equal to 1.2

Step-by-step explanation:

6/5 equals 1.2

i don't have to sound rude but can i have brainliest please i need 4 more :')

Answer:

675 Foxes

Step-by-step explanation:

y=75*3x

39/13=3

y=75*3*3

y=75*9

y=675

Answer:

24

Step-by-step explanation:

3*4*2=24

Answer:

To figure out how many adults and children bought tickets, we can set up a system of equations using the information provided. Let x be the number of adults and y be the number of children. We know that:

x + y = 500 (because a total of 500 people bought tickets)

17.95x + 12.95y = 7355 (because the total revenue from ticket sales is $7355)

We can use the first equation to solve for one of the variables in terms of the other variable. For example, we can substitute y = 500 - x into the second equation:

17.95x + 12.95(500 - x) = 7355

This simplifies to:

17.95x + 6475 - 12.95x = 7355

5x = 1880

x = 376

so there are 376 adults bought tickets and 500-376=124 children bought tickets.

Step-by-step explanation:

Answer:

I think it would be 160 degrees

Step-by-step explanation:

Answer:

160 degrees

Step-by-step explanation:

The whole protractor is 180 degrees. B is at the 180 mark but E is at 20. So, the the angle of BAE would be 180-20=160 degrees.

Answer:

  9 minutes

Step-by-step explanation:

The water volume in pool 1 starts at 50 gallons and increases at 2.3 gallons per minute. An expression for that volume could be ...

  v = 50 +2.3t

The water volume in pool 2 starts at 102.2 gallons and decreases at 3.5 gallons per minute. An expression for that volume could be ...

  v = 102.2 -3.5t

The volumes will be equal when ...

  50 +2.3t = 102.2 -3.5t

  5.8t = 52.2 . . . . . . . . . . . subtract 50-3.5t from both sides

  t = 52.2/5.8 = 9 . . . . . . . divide by the coefficient of t

After 9 minutes, the pools will contain the same amount of water.

_____

The equation 5.8t = 52.2 tells you the 52.2 gallon difference in volumes is being reduced at the rate of 5.8 gallons per minute. You don't really need the 'v' equations to figure that out.

Answer:19487171x161051

=19487171x161051

Step-by-step explanation:

Answer:

  11^12 = 3,138,428,376,721

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

__

  \(\dfrac{11^{10}}{11^3}\cdot 11^5=11^{10-3+5}=\boxed{11^{12}=3\,138\,428\,376\,721}\)

Sydney Ltd needs to sell 20,700 units of the product to earn a target profit of $150,000.

To calculate the number of units needed to be sold to achieve the target profit, we can use the formula: (Fixed costs + Target profit) / (Sales price - Variable costs).

Plugging in the given values, we have ($16,500 + $150,000) / ($12 - $4) = $166,500 / $8 = 20,812.5 units.

Since the number of units must be a whole number, we round down to the nearest whole number, which is 20,700 units.

Therefore, Sydney Ltd needs to sell 20,700 units of the product to earn a target profit of $150,000.

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In total, there are 6 * 6! = 720 different ways for the group of 7 people to sit in the row.

The total number of ways to arrange a group of n people in a row is n!, which is the product of all the integers from 1 to n. However, in this case, we have a constraint that one of the people must sit next to an aisle. To find the number of ways to arrange the group of people given this constraint, we first need to determine the number of ways for the person who needs to sit next to the aisle to be placed.

Since there are 7 seats in the row, and the person must sit next to an aisle, there are 6 different spots where they can sit (either in the first seat, second seat, etc. up to the sixth seat). Once that person is placed, we can use the formula n! to find the number of ways to arrange the remaining people. In this case, there are 6 people remaining, so there are 6! ways to arrange them. To find the total number of ways to arrange the group of 7 people given the constraint, we multiply the number of ways to place the person next to the aisle (6) by the number of ways to arrange the remaining people (6!). So, 6*6! = 720.

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Answer:

64 ft

Step-by-step explanation:

The perimeter of the drawing is

2(3.25 in. + 4.75 in.) = 16 in.

Now we use the scale to find the real perimeter.

1 in. : 4 ft

16 * 1 in. : 16 * 4 ft

16 in. : 64 ft

The real perimeter is 64 ft.

$$\sin x=\sec x=\tan x$$

To verify the identity, start with the more complicated side, which is the left-hand side and transform it to look like the other side.

We will use the basic identities to transform the left-hand side:

$$\sin x=\frac{1}{\cos x}=\frac{\sin x}{\cos x}=\tan x$$

The identity is verified. The above transformation can be explained as follows:

$$\sin x=\frac{1}{\cos x}$$

Multiply the above expression by $\frac{\sin x}{\sin x}

$:$$\frac{\sin x}{\sin x}\sin x=\frac{\sin x}{\sin x}\frac{1}{\cos x}$$

Simplifying:$$\frac{\sin^2x}{\sin x}=\tan x$$

Now, substitute $\sin^2x$ with $1-\cos^2x$ (using $\sin^2x+\cos^2x=1$):

$$\frac{1-\cos^2x}{\sin x}=\tan x$$

Dividing both sides by $\cos x$:

$$\frac{1}{\cos x}-\cos x=\frac{\sin x}{\cos x}$$$$\sec x-\cos x=\frac{\sin x}{\cos x}$$$$\sin x=\sec x=\tan x$$

The identity is verified.

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Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

The equation of the parabola that similar to f(x) = \(7x^2\) but the vertex is (3, 5) in the standard form is y = \(7(x-3)^2\) + 5

The equation of the parabola

f(x) = \(7x^2\)

The standard vertex form of a parabola is

y = \(a(x-h)^2\) + k

The coordinates of the vertex of a parabola = (3, 5)

Where (h, k)  is the coordinates

From the given function of the parabola f(x) =  \(7x^2\)

The value of a = 7

Substitute the values in the vertex form of a parabola

y = \(7(x-3)^2\) + 5

Hence, the equation of the parabola that is similar to f(x) = \(7x^2\) but the vertex is (3, 5) in the standard form is y = \(7(x-3)^2\) + 5

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Answer:

Length equal 12

Step-by-step explanation:

16^2+b^2=20^2

256+b^2=400 (subtract 256 on both sides)

b^2=144 (square root)

b=12

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:

the equivalent ratio in the question above is 2:3

In a case whereby Laila needs a new bike mirror. Her old mirror was a square with a side length of 7 cm the circular bike mirror Laila should buy is 4 cm.

Given that the side length = 7 cm

Then we can know the Old mirror's area  using the formula

Area =  (S X S)

Where S is the side

=( 7 x 7 )

= 49cm2

Then from the information from the question, we can equate the area of the old and the new as

(Area of old mirror = Area of new mirror)

where  Area of new mirror = πr^2

(49 = πr^2)

49 = (22/7 * r^2)

r^2 = 49 *7/22

r= 3.948 cm

r = 4cm

If we approximate it , hence option A is correct.

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Answer:

You will receive $21.69, assuming there's no tax ;).

I added the 24.49 to the 3.82 and got 28.31, then subtracted that from 50.

Answer:

16/x+6

Step-by-step explanation:

Answer:

Hello!

__________________

Your answer would be ( B ) 16/x+6

Hope this helped you!

:D

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

Step-by-step explanation:

This is a square root function:

The domain is the x-values which include all non-negative real numbers

Correct choice is B

Answer:

All real numbers positive numbers and zero.

Step-by-step explanation:

Domain: set of all possible input values (x-values)

Range: set of all possible output values (y-values)

Given function:

\(f(x)=3 \sqrt{x}\)

As the square root of x is undefined for negative real numbers, the domain is positive numbers and zero.

The largest value of the domain is unbounded, so the domain in interval notation is [0, ∞).

Answer:

Your answer is B) \(y=\frac{1}{3}x-6\)