Repartir de forma directamente proporcional 40 000 entre personas de 3,7,10 años a) 3 años = 8 000, 7 años = 12 000, 10 años = 10 000 b) 3 años = 6 000, 7 años = 14 000, 10 años = 20 000 c) 3 años = 4000, 7 años = 8 000, 10 años = 18 000 d) 3 años = 5 000, 7 años = 10 000, 10 años = 10 000

Let's start by finding how many bags of lemons Rachel used on Monday. We know she used a whole number of bags plus a fraction, so we'll need to convert the mixed number to an improper fraction:

1 2/5 = 7/5

So Rachel used 7/5 bags of lemons on Monday.

On Tuesday, Rachel used 1 1/4 times as many lemons as on Monday. To find out how many bags of lemons that is, we can multiply the amount Rachel used on Monday by 1 1/4:

1 1/4 = 5/4

5/4 times 7/5 = 35/20 = 7/4

So Rachel used 7/4 bags of lemons on Tuesday, which is the same as 1 3/4 bags of lemons.

Therefore, Rachel used 1 3/4 bags of lemons on Tuesday.

Answer: 2x + 12

Step-by-step explanation:

Let the cost of each sweater be x.

since she's buying 2, the total cost of the sweaters will be 2x.

Just tack on the + 12 at the end for the sunglasses :)

A relation represents a function when each input value is mapped to a single output value.

On a graph, a function is represented if the graph contains no vertical aligned points, that is, if there are no values of x at which we could trace a vertical line that would cross the graph of the function more than once.

Tracing a vertical line for any x > -3, the vertical line would cross the graph at two points, meaning that the relation is not a function.

As for the domain and the range, we have that:

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The measure of angle 3 is 52⁰.

The measure of angle 5 is 38⁰.

The measure of angle 6 is 52⁰.

The measure of angle 3, 5 and 6 is calculated as follows;

angle 1 + angle 2 + angle 3 = 180 (sum of angles in straight line )

90 + 38 + angle 3 = 180

angle 3 = 180 - 128

angle 3 = 52⁰

The measure of angle 5 is calculated as follows;

angle 5 = angle 2 (vertical opposite angles are equal)

angle 5 = 38⁰

The measure of angle 6 is calculated as follows;

angle 6 = angle 3 (vertical opposite angles are equal)

angle 6 = 52⁰

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There is a remarkable discrepancy in perceived organization support amongst female and male employees: women garnered a superior mean score (M=4.65, SD=0.58) as opposed to males (M=4.42, SD=0.70), t(198)=2.51, p<0.05.

Consequently, we recommend that the committee delve into the source of this divide and take steps to ensure that both sexes receive the same level of solidarity.

It was established that there was no distinct disparity in distributive justice perceptions between female and male employees: females earned a mean score of 4.16 (SD=0.64), while men attained a mean score of 4.14 (SD=0.61), t(198)=0.23, p>0.05.

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The measure of the third outgoing current will be 0.5 amperes.

We know that,

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The three incoming currents at a node in an electrical circuit measure 0.7 amps, 0.68 amps, and 0.47 amps two of the three outgoing currents measure 0.8 amps and 0.55 amps.

Then the measure of the third outgoing current will be

We know that the sum of the incoming current will be equal to the sum of the outgoing current at a junction.

Let the incoming current be I₁, I₂, and I₃. And the outgoing current is I₄, I₅, and I₆.

Then we have

I₁ + I₂ + I₃ = I₄ + I₅ + I₆

0.7 + 0.68 + 0.47 = 0.8 + 0.55 + I₆

1.85 = 1.35 + I₆

I₆ = 0.5

Thus, the measure of the third outgoing current will be 0.5 amperes.

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complete question:

The three incoming currents at a node in an electrical circuit measure 0.7 amps, 0.68 amps, and 0.47 amps two of the three outgoing current measure 0.8 amps and 0.55 amps find the measure of the third outgoing current

The measure of the missing dimension is 8 meters.

We are given that;

Volume= 2288 cubic meters

Height= 13meter

Length= 22meter

Now,

To find the width.

You can rearrange the formula to solve for width by dividing both sides by length and height:

Width = Volume / (length × height)

Plug in the given values:

Width = 2288 / (22 × 13)

Simplify:

Width = 2288 / 286

Width = 8

Therefore, by the given rectangular prism the answer will be 8 meters.

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Answer: The point that satisfies the equation is E. (-3, -4).

Explanation:

To determine which point lies on the circle represented by the equation (x − 3)² + (y + 4)² = 6², we can substitute the coordinates of each point into the equation and see which one satisfies the equation.

A. (9, -2): (9 − 3)² + (-2 + 4)² = 6²

(6)² + (2)² = 36

36 + 4 = 40 ≠ 36

B. (0, 11): (0 − 3)² + (11 + 4)² = 6²

(-3)² + (15)² = 36

9 + 225 = 234 ≠ 36

C. (3, 10): (3 − 3)² + (10 + 4)² = 6²

(0)² + (14)² = 36

0 + 196 = 196 ≠ 36

D. (-9, 4): (-9 − 3)² + (4 + 4)² = 6²

(-12)² + (8)² = 36

144 + 64 = 208 ≠ 36

E. (-3, -4): (-3 − 3)² + (-4 + 4)² = 6²

(-6)² + (0)² = 36

36 + 0 = 36

The point that satisfies the equation is E. (-3, -4).

Answer:

  3013.5 cm³

Step-by-step explanation:

Given a ball with a circumference of 56.3 cm, you want to know its volume.

The formula for circumference is ...

  C = 2πr

Solving for radius, we get ...

  r = C/(2π) = 56.3 cm/(2π) ≈ 8.96042 cm

The volume of a sphere is given by ...

  V = 4/3πr³

  V = 4/3π(8.96042 cm)³ ≈ 3013.5 cm³

The ball's volume is about 3013.5 cubic centimeters.

__

Additional comment

Alternatively, we could use the formula ...

  V = C³/(6π²)

to get the same result.

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The possible combinations of hand pies and gourmet cupcakes that the baker could sell for exactly $45.00 are:

The possible combinations of hand pies and gourmet cupcakes can be determined by finding the results of each combination using multiplication and addition.

Multiplication and addition are two of the four basic mathematical operations, including division and subtraction.

The unit cost of hand pies = $5

The unit cost of cupcakes = $3

The total sales revenue = $45

a. No hand pies and 15 gourmet cupcakes = $45 ($5 X 0 + $3 x 15)

b. 2 hand pies and 11 gourmet cupcakes = $43 ($5 X 2 + $3 x 11)

c. 3 hand pies and 10 gourmet cupcakes = $45 ($5 X 3 + $3 x 10)

d. 5 hand pies and 6 gourmet cupcakes = $43 ($5 X 5 + $3 x 6)

e. 6 hand pies and 5 gourmet cupcakes = $45 ($5 X 6 + $3 x 5)

f. 8 hand pies and 2 gourmet cupcakes = $46 ($5 X 8 + $3 x 2)

g. 9 hand pies and no gourmet cupcakes = $45 ($5 X 9 + $3 x 0)

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The solution to the system of equations in this problem is given as follows:

(-1, -5).

The system of equations in the context of this problem is defined as follows:

The x-coordinate of the solution in the context of this problem is obtained equaling the two equations, as follows:

x - 4 = -3x - 8

4x = -4

x = -1.

Hence the y-coordinate of the solution is obtained as follows:

y = -1 - 4

y = -5.

Thus the solution is:

(-1, -5).

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Answer:

1. 69.73 is the Area of the Rectangle. 50.27 is the Area of the Circle. 2. 120 is the area of the parallelogram, 25.13 is the area of the semi-circle

Step-by-step explanation:

For #1, We can to 15 * 8 to get area of what would be the whole rectangle. It is 120. Then, calculate area of the circle, pi * 4^2(4 because the 8 is a diameter. That totals to 50.27 for the circle. Subtract the two, 120-50.27 and you get 69.73 as the area of the shape excluding the circular portion.

For #2, We can apply the same formula for the circle, and divide it by two this time for 25.13 as the circle area. We can use the paralellogram formula of b*h (6*20) and we get 120 for that area. The total for the whole figure on #2 is 145.13 square units.

Note: unit for both is square units, as it is not specified.

If the "angle M" measures 98° and "angle N" measures (6x + 2)°, then value of "x" must be 16.

When the "two lines" intersect, the opposite angles formed are equal in measure, which means that vertical angles are congruent. So, we have:

⇒ Angle M = Angle N

Using the given values, we can write an equation:

⇒ Angle M = 98°  and Angle N = (6x + 2)°,

Setting them equal,

We get,

⇒ 98 = 6x + 2,

Solving for x, we subtract 2 from both sides and then divide by 6:

⇒ 96 = 6x,

⇒ x = 16,

Therefore, the variable "x" must be 16 for "angle N" to be vertical to "angle M".

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The given question is incomplete, the complete question is

If an "angle N" is vertical to "angle M", and measure of "angle M" is 98° and the measure of angle N is (6x + 2)°, the x must be.

The slope represents that: a Fahrenheit degree change is equivalent to a Celsius change of 2 degrees.

The y-intercept of 32 represents that: It is the melting point of water on the Fahrenheit scale.

The general form of expression of Linear functions in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

Now, the equation is given as:

F = 2C + 32

Thus:

Slope = 2

y-intercept = 32

The slope is 2. This means that a Fahrenheit degree change is equivalent to a Celsius change of 2 degrees.

The y-intercept is 32. This is the melting point of water on the Fahrenheit scale.

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Answer:

112 yards

Step-by-step explanation:

The center of the Ferris wheel is 61 yards above the ground and the radius is 51 yards. When Jack is at the 9 o'clock position, he is at a distance of 112 yards from the center of the Ferris wheel (51 yards from the center plus 61 yards above the ground). Let θ be the angle that Jack has swept out measured from the 9 o'clock position, in radians.

The function g that represents Jack's vertical distance above the ground in yards in terms of the angle θ is:

g(θ) = 61 + 51sin(θ)

where sin(θ) represents the vertical component of the distance Jack has traveled.

Note that when θ = 0, sin(θ) = 0, which means Jack is at the very top of the Ferris wheel, 112 yards above the ground. When θ = π/2, sin(θ) = 1, which means Jack is at the 12 o'clock position, 112 + 51 = 163 yards above the ground. Similarly, when θ = π, sin(θ) = 0, which means Jack is at the very bottom of the Ferris wheel, 112 yards above the ground.

The percentage of Dinesh’s time spent on Project X is 36.90%.

We have,

From the table,

The total time spent on the X-project each week is given as:

= 23(1/3) + 16(1/3) + 9.33 + 4.20

= 23.33 + 16.33 + 9.33 + 4.20

= 53.19

This is the time spent on X-project for the month.

Now,

The total time spent on all the events in the table.

= 144.13

The percent of Dinesh’s time spent on Project X.

= 53.19/144.13 x 100

= 36.90%

Thus,

The percentage of Dinesh’s time spent on Project X is 36.90%.

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The number of ways of selecting 3 items from a total of 7 items, where order does not matter is (a) 35 ways.

The number of ways to choose three items from a group of seven, where order does not matter, is given by the combination formula:

⇒ C(n,r) = n!/(r! × (n-r)!),

where n is = total number of items, and r is = number of items to be chosen,

We have, total items (n) = 7 and items to be selected (r) = 3.

Substituting the values,

We get;

⇒ C(7,3) = 7!/(3! × (7-3)!),

⇒ 7!/(3! × 4!),

⇒ (7 × 6 × 5)/(3 × 2 × 1),

⇒ 35 ways.

Therefore, the correct option is (a).

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b) By basing on the findings in part (a), we rejected the null hypothesis. This implies that a Type I error – which is the mistake of disregarding a validly-true null supposition – could have potentially been made.

(c) Since the confidence interval holds both negative and positive values, we are not able to confirm that leastwise some dissimilarity might exist between these two proportions.

d) Raising the power of the test may be achievable by lessening the significance level.

In this state, it would indicate that we concluded that there exists a considerable divergence between the proportion of men and women intending to vote for Trump when factually there is no distinction.

Raising the power of the test may be achievable by lessening the significance level. Doing so will penalize us with being more lenient towards taking up the alternate assumption, consequently reducing the likelihood of having a Type II error.

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Answer:

The three numbers are -4, 0, and 1.

Step-by-step explanation:

mark brainliest

Based on the information, HH is a subset of Ha, which is a subset of aH, which is a subset of H, which is a subset of HH

It should be noted that to demonstrate this theory, we must show that each of these collections are components of the others and consequently all are equivalent.

At first, let's evaluate HH. As H is a subgroup of G, it is dependent on multiplication so for any two elements h1, h2 in H, the product h1h2 is also in H. Thus, every entity within HH can be expressed as the aggregate of h1h2 for certain elements h1, h2 from H. Since H is a subgroup, it is also subject to inverse property, so h2^-1h1^-1 remains inside H. Clearly, h1h2 thus translates to h'(h2^-1h1^-1)h'', where h', h'' are members of H.

This illustrates that every component of HH can be presented as h'h'' for a pair of h', h'' which exist in H, therefore approximating with accuracy the definition of H. Thus, we have demonstrated that HH is part of H.

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Answer:

1 inch

Step-by-step explanation:

Answer:

12.28

Step-by-step explanation:

To solve this problem you have to spilt the problem into 2 parts.

First, let us solve the triangle.

The formula to find the area of a triangle is [tex]\frac{1}{2}bh[/tex]. The base of this triangle is 3 and the height is 4. This leaves us with an answer of 12. The next step is to divide 12 by two. So now we have the area of the triangle as [tex]6 km^2[/tex].

Second, let's solve the hemisphere.

The formula to find the area of a circle is [tex]\pi r^{2}[/tex]. Because this is a hemisphere we can divide the formula by two to get [tex]\frac{\pi r^2}{2}[/tex]. Now let us insert the values.

In this problem, we have the diameter of the semicircle. To find the radius we divide the diameter by two. This gives us a radius of 2km.

The next step is to multiply 3.14 * 2^2 and divide this by 2:

[tex]\frac{\pi 2^{2} }{2}[/tex]

[tex]\frac{\pi 4}{2}[/tex]

[tex]\frac{12.56}{2}[/tex]

[tex]6.28[/tex]

Lastly, our final step is to add both the triangle area and the area of the semicircle.

[tex]6+6.28[/tex]

[tex]12.28[/tex]

12.28 is our final answer.

Answer:

17.

90 - 75 = 15

Answer: b

18.

ABC

Answer: A

19.

Answer: D

20.

Answer: D

Answer:250

Step-by-step explanation:

I think they just want you to multiply the 25 and the 10 (radius squared times the height)

The distance from the point A to point B is s√3

From the question, we have the following parameters that can be used in our computation:

Perfect cube with sides of length s.

The distance from point A to point B is calculated as

Distance^2 = s^2 + s^2 + s^2

When evaluated, we have

Distance^2 = 3s^2

Take the square roots of both sides

Distance = s√3

Hence, the distance = s√3

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The equation of smallest degree with integer coefficients will be f(x) = x^2 - (3 + √7)x + 3√7

It should be noted that to begin, let us establish the following:

x = √(8 - 1) which is equal to √7.

y = √(8 + 1) which is equivalent to √9. Therefore, y equals 3.

For the value of x, its conjugate coincides with √7; hence:

(x - x') × (x - y') = (x - √7)(x - 3)

Equation expansion yields:

f(x) = x^2 - (3 + √7)x + 3√7

By substituting for both values x and y in the equation above, we can show that f(x) satisfies the given specifications:

When x takes on a value of √7:

f(√7) = (√7)^2 - (3 + √7)√7 + 3√7 = 7 - 7 = 0

With an input value of 3:

f(3) = 3^2 - (3 + √7)(3) + 3√7 = 9 - 9 - 3√7 + 3√7 = 0

The lowest degree polynomial with rational coefficients having √(8 - 1) and √(8 + 1) as its roots is: f(x) = x^2 - (3 + √7)x + 3√7

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Answer:

B.

Step-by-step explanation:

We can use the given formula to find the time it takes for the rocket to reach a height of 10 feet:

10 = -16t^2 + 22t + 6

Rewriting the equation in standard quadratic form:

16t^2 - 22t + 4 = 0

Using the quadratic formula:

t = (22 ± sqrt(22^2 - 4(16)(4)))/(2(16))

t = (22 ± sqrt(36))/32

t = 3/4 or 1/4

Since the rocket reaches a height of 10 feet at two different times (3/4 and 1/4 seconds), it must pass through that height twice during its flight. Therefore, the rocket will reach a height of 10 feet. The correct answer is B.