vanessa tiene en una caja cinco esferas que llevan los números del 1 al 5. sin mirar, vanessa saca tres esferas y suma las cantidades que tienen escritas. ¿cuántos resultados diferentes puede obtener vanessa?

Therefore, the freight train traveled for 16.67 + 10 = 26.67 hours before the passenger train caught up with it.

let's call the time it took for the passenger train to catch up with the freight train "t" (in hours).

During this time, the freight train traveled at its average speed of 45 km/h for t + 10 hours, while the passenger train traveled at its average speed of 72 km/h for t hours.

We know that the distance both trains traveled is the same, since the passenger train caught up with the freight train. So, we can set up the following equation:

distance traveled by freight train = distance traveled by passenger train

\((45 km/h) x (t + 10 h) = (72 km/h) x t\)

Simplifying this equation, we get:

\(45t + 450 = 72t\)

\(27t = 450\)

t = 16.67 hours

Therefore, the freight train traveled for 16.67 + 10 = 26.67 hours before the passenger train caught up with it.

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Answer: 5x³

Step-by-step explanation:

Answer:

24.8!

Step-by-step explanation:

Answer:

99.85

Step-by-step explanation:

$99.85\text{ %}$

Notice that 52 inches is three standard deviations less than the mean. Based on the Empirical Rule, 99.7% of the yearly snowfalls are within three standard deviations of the mean. Since the normal distribution is symmetric, this implies that 0.15% of the yearly snowfalls are less than three standard deviations below the mean. Alternatively, 99.85% of the yearly snowfalls are greater than three standard deviations below the mean.

Let's begin by listing out the information given to us:

A.

B.

C.

D.

Therefore, option B is the correct answer; the ratios 6/10 is the same as 9/15

Answer: 19

Step-by-step explanation:

As per the model created by Jack; f(x) determines the area and x represents length so f(3) = 9+9+1

Therefore, f(3) = 19

Answer:

a = b = 3√2

Step-by-step explanation:

Use trigonometry:

\( \sin(45°) = \frac{a}{6} \)

Cross-multiply to find a:

\(a = 6 \times \sin(45°) = 6 \times \frac{ \sqrt{2} }{2} = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)

Use the Pythagorean theorem to find b:

\( {b}^{2} = {6}^{2} - {a}^{2} \)

\( {b}^{2} = {6}^{2} - ( {3 \sqrt{2}) }^{2} = 36 - 9 \times 2 = 36 - 18 = 18\)

\(b > 0\)

\(b = \sqrt{18} = 3 \sqrt{2} \)

Answer:

Step-by-step explanation:

a. The least square regression equation of Y on X is: Y = 3.08X - 127.82

b. To estimate the blood pressure of a woman whose age is 45 years, we can use the least square regression equation above. Substituting X = 45, we get: Y = 3.08(45) - 127.82 = 143.46. Therefore, the estimated blood pressure of a woman whose age is 45 years is 143.46.

Step-by-step explanation:

25 - ( 9 - 4.3 ) = 25 - 5.3 = 20.7 ●

Answer:

false

Step-by-step explanation:

rewrite this with 4.3 in place of y first

25 - (9 - 4.3) = 20.7

    25 - (4.7) = 20.7

      25 - 4.7 = 20.7

      25 - 4.7 = 20.3

           20.3 ≠ 20.7

false

hope this helped! good luck matey

-cheesetoasty

it's good but if u r hard-working

Answer:

15 sandwiches

Therefore , the solution of the given problem of amount comes out to be the agent received $3,069 in commission.

aggregate attempting to determine the time, overall cost, or amount. The amount in front of us or on our minds is incredibly hectic. the outcome, its significance, or its applicability. The sum consists of principal, tax, and third bookkeeping. Some of the word variations are amounts, amounts, and amounting. a versatile term Its amount refers to the amount that something weighs, how often you consume it.

Here,

The real estate company has a 4.5% commission rate,

which means they get paid 4.5% of the house's sale price:

=> 4.5% of $341,000 divided by the agency's commission results in

=> $15,345 ($0.045 x $341,000).

Hence, the residence brought in $15,345 for the real estate company.

We must determine the commission received by the real estate agency in order to determine how much the agent earned. 20% of the commission paid to the real estate agency goes towards the agent's commission rate.

Since we already know that the real estate firm was paid a commission of $15,345; the agent's commission is:

=> 20% of $15,345 divided by the agent's commission

=>  0.2 times $15,345 =  ($3,069).

As a result, the agent received $3,069 in commission.

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The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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Answer:

84 cubes :)

Step-by-step explanation:

The intersection points are: (0, -3) and (10, 2)

The bounded area is -20.83 unit²

(a) The  intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:

(0, -3) and (10, 2)

(b) The integral terms of y which gives the area bound are:

a = -3, b = 2 (These are the y values of the intersection points)

Since we have x = y² + 3y and x = 2y + 6, we can say:

y² + 3y = 2y + 6

y² + 3y - 2y - 6 = 0

y² + y - 6 = 0

Thus, h(y) =

Using a = -3 and b = 2  with h(y) = y² + y - 6, we have the bounded area as:

\(Area = \int\limits^b_a {y} \, dy\)

\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)

Integrating the area:

Area = [y³/3 + y²/2 - 6y + C]²₋₃

Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]

Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]  

Area = [-22/3] - [27/2]

Area = -125/6

Area = -20.83 unit²

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The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

92052.73599

Step-by-step explanation:450,137,879 divded by 4,890 you'll get 4,890

Answer:

The answer to your question is 6.4 feet

The operation that has been performed on v to result in the vector that is shown is multiplication by -1.

The vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.

Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).

Here is the mathematical equation:

(-1) * (2, 1) = (-2, -1)

Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.

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Let number of ducks is:

Number of pigs is:

Total number in field is 38

that mean:

Total legs is 94

Duck legs is:

Pigs legs is:

when total leg is 94 that mean:

put the vaue of x:

so there is 9 pigs and ducks is:

The ducks is 29.

The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.

Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.

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Answer:

3:6:9

Step-by-step explanation:

1/1+2+3 × 90 = 15

2/1+2+3 × 90 = 30

3/1+2+3 × 90 = 45

Answer:

\(6x + 5y = - 30\)

\(5y = - 6x - 30\)

\(y = - \frac{6}{5} x - 6\)

Since the slope of this line is -6/5, the slope of a perpendicular line is 5/6. The slopes of perpendicular lines are negative reciprocals.

Answer:

\(h = 7.69cm\)

Step-by-step explanation:

Given

\(Volume = 455cm^3\)

\(l = h\)

Where:

\(h \to height\)

\(l \to base\ length\)

Required

The height

The volume is calculated as:

\(Volume = l^2 * h\)

This gives:

\(Volume = h^2 * h\)

\(Volume = h^3\)

Rewrite as:

\(h^3 =Volume\)

So, we have:

\(h^3 = 455cm^3\)

Take cube roots

\(h = \sqrt[3]{455cm^3}\)

\(h = 7.69cm\) --- approximated

At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.

A delivery has at least 89% of its values inside of three of the mean's standard deviation.

We have the following in this problem:

Mean = $3.53

$0.14 is the standard deviation.

Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.

2 standard deviations from the mean.

So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.

At least 75% of the data might very well fall between $3.25 and $3.81.

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Answer:

The answer is

Step-by-step explanation:

Volume of a cylinder is given by

where

h is the height

r is the radius

V is the volume

Since we are finding the height

\(h = \frac{V}{\pi {r}^{2} } \)

From the question

V = 675π cm³

r = 5 cm

Substitute the values into the formula and solve for the height

That's

\(h = \frac{675\pi}{ {5}^{2}\pi } \\ = \frac{675\pi}{25\pi} \\ = \frac{675}{25} \)

We have the final answer as

27 cm

Hope this helps you

Answer:

  B. 3x¹¹ +9x⁷ +5x³ −x +4

Step-by-step explanation:

You want to identify the polynomial that has terms written in descending order of their degree.

The degree of a term is the exponent of x in that term. In the given polynomial, the term degrees are 3, 1, 7, 0, 11.

When these are put into descending order, that order is ...

  11, 7, 3, 1, 0

The answer to this question will be the polynomial with terms written in the order of their degree as shown above:

  3x¹¹ +9x⁷ +5x³ −x +4

__

Additional comment

When the exponent of x is 0, the value of the term x^0 is 1. That is why we can say the constant term is a term that has the variable to degree 0.

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