Haz la ecuación y la verificación según los datos que dan. 5. Un padre tiene 35 años y su hijo 5. ¿Al cabo de cuántos años será la edad del padre tres veces mayor que la edad del hijo?

6. Si al doble de un número se le resta su mitad resulta 54. ¿Cuál es el número?

7. En una reunión hay doble número de mujeres que de hombres y triple número de niños que de hombres y mujeres juntos. ¿Cuántos hombres, mujeres y niños hay si la reunión la componen 96 personas?

8. Una granja tiene cerdos y pavos, en total hay 35 cabezas y 116 patas. ¿Cuántos cerdos y pavos hay?

Answer:

5 Units

Step-by-step expla

Answer: b

Step-by-step explanation:

Answer:

-4+2x-3

Step-by-step explanation:

If the domain of f is ( -1, 1), then the function g defined by g(x) = f((x + 1)/(x - 1)) has a domain of; (-2, 0)

The domain of a function refers to the set of all possible intput values that make the function possible.

Now, we are given the function;

g(x) = f((x + 1)/(x - 1))

The domain would be a set of real numbers excluding 1 because at x = 1, the function is undefined.

Since the domain of  f(x)  is  -1 < x < 1  ,

Then the domain of  f(x + 1)  is  -1 < x + 1 < 1 .

domain of -1 < x + 1 < 1  will simplify to -2 < x < 0

Thus, we can say that the domain of  f(x + 1)  is  (-2, 0).

Thus;

g(x) = f(x + 1) and as such, the domain of  g(x)  is  (-2, 0) .

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Answer:

i would have to go with b or c i would choose one of those

Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.

Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.

To find the profit-maximizing level of output, we compare the profits at different quantities.

Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12

Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11

Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29

Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40

Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20

From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

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Using sampling concepts, it is found that a systematic sampling of 500 words would be achieved as follows:

B. Randomly select one of the first 200 words and then every 200th word thereafter for the sample.

Samples may be classified as:

In this problem, he wants a systematic sampling, hence he should choose every kth word, which means that the answer is between options a and b.

He will choose 500 words out of 100,000, hence the value of k is given by:

k = 100000/500 = 200.

Which means that option B is correct.

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Answer:

B

Step-by-step explanation:

khan

Answer: 28 and just positive 28

Step-by-step explanation: same signs add different signs subtract -28+28=0

Answer:

The answer is +28

Step-by-step explanation:

Just trust me! :)

Your welcome in advanced!!!

best of luck soldier

9514 1404 393

Answer:

  1

Step-by-step explanation:

The constant multiplier of k in the term "k" is 1.

The coefficient is 1.

For this  we need to calculate the surface integral over the given region.

The given equation \(x^{2} +y^{2} +z^{2}\)=49 represents a sphere centered at the origin with a radius of 7. The cone \(\sqrt{x} ^{2} +\sqrt{y ^{2}\) is a double cone that shares the same apex with the sphere.

To find the surface area, we can set up a surface integral over the part of the sphere that lies above the cone. We need to parametrize the surface and calculate the magnitude of the surface normal vector.

Using spherical coordinates, we can write the parametric equations for the surface of the sphere as x=7sin∅ cosФ,y=7sin∅sinФ,and z=7cos∅ where ∅ range from 0 to π/2 and Ф range from 0 to 2π.

Next, we calculate the magnitude of the surface normal vector N using the cross product of the partial derivatives of the parametric equations. The surface area element is then given by

dS =INId∅dФ

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The shortest distance from the origin to the curve x2 + xy + y2 = 3 is √(6-2√7) and the longest distance is √(6+2√7).

We have to find the shortest and longest distances from the origin to the curve x^2 + xy + y^2 = 3. This can be done using the Lagrange multiplier technique.

Given, x^2 + xy + y^2 = 3.

We have to minimize and maximize the distance of the origin from the given curve. The distance of the origin from the point (x, y) is given by √(x²+y²).

Therefore, we have to minimize and maximize the function f(x, y) = √(x²+y²) subject to the constraint x^2 + xy + y^2 = 3.

Now, we have to form the Lagrange function.

L(x, y, λ) = f(x, y) + λ(g(x, y))

where, g(x, y) = x2 + xy + y2 - 3L(x, y, λ) = √(x²+y²) + λ(x2 + xy + y2 - 3)

Now, we have to find the partial derivatives of L with respect to x, y, and λ.

∂L/∂x = x/√(x²+y²) + 2λx+y = 0 ............. (1)

∂L/∂y = y/√(x²+y²) + λx+2λy = 0 ............. (2)

∂L/∂λ = x² + xy + y² - 3 = 0 ............. (3)

Solving equations (1) and (2), we get x/√(x²+y²) = 2y/x.

Since x and y cannot be equal to 0 simultaneously, we can say that x/y = ±2.

Substituting x = ±2y in equation (3), we get y²(5±2√7) = 9.

Now, we can solve for x and y to get the values of (x, y) at which the minimum and maximum value of the distance of the origin occurs.

Using x = 2y, we get y²(5+2√7) = 9 ⇒ y = ±3/√(5+2√7)

Using x = -2y, we get y²(5-2√7) = 9 ⇒ y = ±3/√(5-2√7)

Therefore, the four points at which the distance is minimum and maximum are {(2/√(5+2√7), 1/√(5+2√7)), (-2/√(5+2√7), -1/√(5+2√7)), (2/√(5-2√7), -1/√(5-2√7)), (-2/√(5-2√7), 1/√(5-2√7))}.

To find the minimum and maximum distances, we can substitute these points in f(x, y) = √(x²+y²).

After substituting, we get the minimum distance as √(6-2√7) and the maximum distance as √(6+2√7).

Therefore, the shortest distance from the origin to the curve x^2 + xy + y^2 = 3 is √(6-2√7) and the longest distance is √(6+2√7).

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Values of p is the series convergent, ∑ (−1)ⁿ⁻¹ (ln n)^p / n³, n=2The series is convergent for p > 1.

To determine the Convergence of the series, we can apply the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges.

Let's apply the ratio test to the given series:

lim (n→∞) |((-1)ⁿ⁻¹ * (ln n)^p / n³)| / |((-1)ⁿ * (ln (n+1))^p / (n+1)³)|

Simplifying and canceling common terms:

lim (n→∞) |(ln n)^p * (n+1)³| / |(ln (n+1))^p * n³|

Taking the limit:

lim (n→∞) (ln n)^p * (n+1)³/ (ln (n+1))^p * n³

By simplifying further and applying L'Hôpital's rule:

lim (n→∞) [(ln n)^p / (ln (n+1))^p] * [(n+1)³ / n³]

= lim (n→∞) [(ln n / ln (n+1))^p] * [(n+1)³ / n³]

Since the limit of (ln n / ln (n+1)) as n approaches infinity is 1, and the limit of (n+1)³ / n³ is also 1, the overall limit is 1^p * 1 = 1.

For the series to converge, the limit must be less than 1. Therefore, we conclude that the series is convergent for p > 1.

In interval notation, the values of p for which the series is convergent are (1, ∞).

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The 95%-confidence interval (45.76%, 50.23%) is a confidence interval for the percentage of listeners in the sample who would accept the invitation to enter the competition.

This means that if we were to repeat the same process of randomly selecting 500 listeners and offering them the chance to enter the competition, we would expect the true percentage of listeners who would accept the offer to fall within this interval 95% of the time. It is important to note that this interval only applies to the sample of 500 listeners who were selected for the promotion, and we cannot generalize these results to all listeners of the radio station. However, this information can still be useful for the radio station in terms of understanding the response rate to promotions among a specific group of its listeners.

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f(g(x)) = 9, g(f(x)) = -24, h(g(x)) = 3 ,The composition of two functions f and g is denoted by f ◦ g and is defined as follows: f ◦ g(x) = f(g(x))

In other words, f ◦ g(x) is the value of f at the point g(x). The functions f(x) = x^4 + 9, g(x) = x - 6, and h(x) = √x can be composed in three ways:

f ◦ g(x) = f(g(x)) = f(x - 6) = (x - 6)^4 + 9 = 9

g ◦ f(x) = g(f(x)) = g(x^4 + 9) = x^4 + 9 - 6 = x^4 + 3

h ◦ g(x) = h(g(x)) = h(x - 6) = √(x - 6) = 3

Here is a more detailed explanation of how to evaluate each of these compositions:

f ◦ g(x) = f(g(x)) = f(x - 6) = (x - 6)^4 + 9 = 9

The function f(x) is defined as x^4 + 9. The function g(x) is defined as x - 6. To evaluate f ◦ g(x), we first evaluate g(x) to get x - 6. Then, we substitute this value into f(x) to get (x - 6)^4 + 9 = 9.

g ◦ f(x) = g(f(x)) = g(x^4 + 9) = x^4 + 9 - 6 = x^4 + 3

The function g(x) is defined as x - 6. The function f(x) is defined as x^4 + 9. To evaluate g ◦ f(x), we first evaluate f(x) to get x^4 + 9. Then, we substitute this value into g(x) to get x^4 + 9 - 6 = x^4 + 3.

h ◦ g(x) = h(g(x)) = h(x - 6) = √(x - 6) = 3

The function h(x) is defined as √x. The function g(x) is defined as x - 6. To evaluate h ◦ g(x), we first evaluate g(x) to get x - 6. Then, we substitute this value into h(x) to get √(x - 6) = 3.

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Answer:

p = independent

t = dependent

The amount of hired truckers will depend on the amount of produce that has to be shipped from California to New York.

Hope this helps :)

Answer:

3150 feet for both

Step-by-step explanation:

correct?

Answer:

its c

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

Answer D

Step-by-step explanation:

Answer:

15% markdown

Step-by-step explanation:

In order to find the markdown, take the lowered price and place it in a fraction as the numerator, and the initial price as the denominator. This looks like:

\(\frac{828.75}{975}\)

with this fraction, we're going to multiply it by 100, with an equation looking like this,

\(\frac{828.75}{975}\)×\(\frac{100}{1}\)

once we multiply(typically using a calculator, though manually is possible of course) we get 85.

In order to find the markdown price however, we need to subtract 85 from 100, getting 15. This is the markdown price, because it's the percentage of the initial whole that the price went down by. Can check by finding 15% of 975, which is 828.75

3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Answer:

90

Step-by-step explanation:

Answer:

LITERALLY THESE WORDS: Because it goes up 8 and over 15

Step-by-step explanation:

if the goes up 8 and over 15 that has to be the slope.

I hope this helps even though its probably not :)

Answer:

It should be d, The bases do not have the same area because the volumes are not the same.

Step-by-step explanation:

did it on the unit review test

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

The volume of a cone is given by the formula:

A = πr²h/3

The volume of a cylinder is given by the formula:

A = πr²h

It is given that the height of both the cylinder and the cone is the same.

This means that the only way variable that influences the volume is the radius of the base.

The volume of the cylinder is three times the volume of the cone when the radius and height are equal.

But the volume of the cylinder is two times the volume of the cone in the given question.

This means that they have different radii which means that the bases are different.

Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.

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Answer:

3+3 and 2(3)

Step-by-step explanation:

3+3 and 2(3)

Answer:

yes

Step-by-step explanation:

x+3 = 6 if X is 3

2x = 6

2(3) = 6

so the statement is correct

Answer:

4 21

Step-by-step explanation:

Its probably the answer you are looking for

Answer:

A. AB≈ DE

is the answer to this question

By answering the presented question, we may conclude that Kayden surface area used 116.4 square centimeters of wrapping paper as a result.

The surface area of an object indicates the overall space occupied by its surface. The surface area of a three-dimensional form is the entire amount of space that surrounds it. The surface area of a three-dimensional form refers to its full surface area. By summing the areas of each face, the surface area of a cuboid with six rectangular faces may be computed. As an alternative, you may use the following formula to name the box's dimensions: 2lh + 2lw + 2hw = surface (SA). Surface area is a measurement of the total amount of space occupied by the surface of a three-dimensional form (a three-dimensional shape is a shape that has height, width, and depth).

Then, we must establish the size of the pyramid's square base. The net shows that the base has a side length of 6 cm.

sqrt((5.7 cm)2 + (3 cm)2) = 6.7 cm slant height (rounded to one decimal place)

Each triangle face has the following area:

(1/2) x width x height

(half) × 6 cm x 6.7 cm

= 20.1 cm2 4 times 20.1 cm2 = 80.4 cm2

The area of the square face is:

6 cm × 6 cm = 36 cm2 side x side

As a result, the total surface area of the net (together with the amount of wrapping paper used by Kayden) is:

80.4 cm2 plus 36 cm2 equals 116.4 cm2.

Kayden used 116.4 square centimeters of wrapping paper as a result.

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To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

6 square units

Step-by-step explanation:

area of a triangle = 1/2( base length x height )

The height of the triangle shown is 6 units

And the base length is 2 units

So the area would be 1/2 ( 6 * 2 )

6 * 2 = 12

12 * 1/2 = 6

The area is 6 square units