en un aparcamiento hay 55 vehiculos entre coches y motos. Si el total de ruedas es de 170. ¿Cuantos coches y cuantas motos hay?​

Answer:

(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers

Step-by-step explanation:

(fg)(x) = f(x) x g(x)

= 16-x^2(4-x)

=64-16x-4x+x^3

(fg)(x) = x^3-4x^2-16x+64

Domain is all real numbers because you can substitute any real number for x and the function would still work.

Thus the value of \((fg)(x) = x^3 -4x^2 -16x -64\) , and the domain is a set of real numbers.

The domain is a set of all real numbers because by substituting any value in the equation we only get real numbers.

The function is defined as a relationship between two variables a dependent and an independent variable. A function consists of a domain and a co-domain.  The set of codomains is called a range.

      Example : \(f(x) = 4x+ 3\)

All those values of a set for which a function is defined are called a domain.

According to the question :

\(f(x) = 16 - x^2\\ g(x) = 4 - x.\)

\((fg)(x) = (16- x^2) (4-x)\\(fg)(x) = [16(4-x) -x^2(4- x)]\\\(fg)(x) = [64- 16x -4x^2+x^3]\\(fg)(x) = x^3 -4x^2 -16 x -64\)

Thus the value of \((fg)(x) = x^3 -4x^2-16x-64.\)

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Answer:

True is the answer GL GL GL

Answer:

aftet 12 years they will have same population and the population will be 400

Answer:

B

Step-by-step explanation:

The triangles are not similar because the corresponding side lengths are not proportional.

The proportion \(\frac{27}{81}\) is not equal to the other side length proportion, \(\frac{30}{72}\)

Answer:

44 square root or 288 square root

smaller angle^2 + smaller angle^2 = largest angle^2 (the largest angle is the hypotenuse)

it could be 44 because 11 x 11 = 121

165 - 121 = 44 square root

or 121 + 165 = 288 square root

Hope this helps

Step-by-step explanation:

Answer:

44 square root / 288 square root

Step-by-step explanation brainly please

In the question, the independence assumption may have been violated, while the Nearly Normal Condition is likely justified. Therefore, the use of the Student-t model for inference may be unreliable.

a) In order to perform a hypothesis test on the claim made by the diet guide, we need to assess the assumptions and conditions required for reliable inference. The independence assumption states that the observations are independent of each other. In this case, it is not explicitly mentioned whether the yogurt samples were independent or not. If the samples were obtained from the same batch or were not randomly selected, the independence assumption could be violated.

Regarding the Nearly Normal Condition, which assumes that the population of interest follows a nearly normal distribution, it is reasonable to assume that the distribution of calorie counts in vanilla yogurt is approximately normal. However, since we do not have information about the population distribution, we cannot definitively justify this condition.

b) The appropriate hypotheses for testing the claim made by the diet guide would be:

H0: The average calories per serving of vanilla yogurt is 120.

HA: The average calories per serving of vanilla yogurt is not equal to 120.

To test these hypotheses, we can use a t-test for a single sample. The test statistic (t) can be calculated by taking the mean of the sample calorie counts and subtracting the claimed average (120), divided by the standard deviation of the sample mean. The p-value can then be determined using the t-distribution and the degrees of freedom associated with the sample.

Without the actual sample mean and standard deviation, it is not possible to provide the specific test statistic and p-value for this scenario. These values need to be calculated using the given data (calorie counts) in order to draw a conclusion about the claim made by the diet guide.

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Answer: 10a-4

Step-by-step explanation:

5a because you have to use pemdas to solve this equation

Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,

for a total of $95. We can set up the following equation to represent this information:

35 + 15x = 95

Solving for x, we get:

15x = 60

x = 4

Therefore, Gabriella skied for 6 hours.

Here is a more detailed explanation of how to solve the equation:

Subtract $35 from both sides of the equation.

15x = 60

15x - 35 = 60 - 35

15x = 25

Divide both sides of the equation by 15.

15x = 25

x = 25 / 15

x = 4

Therefore, x is equal to 4, which is the number of hours that Gabriella skied.

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Using probability of independent events, it is found that there is a \(\frac{2}{9}\) probability that Janelle will add a scarf and boots (tall or short) to her outfit.

\(P(A \cap B) = P(A)P(B)\)

In this problem, the events are:

Hence:

\(P(A \cap B) = P(A)P(B) = \frac{1}{3} \times \frac{2}{3} = \frac{2}{9}\)

\(\frac{2}{9}\) probability that Janelle will add a scarf and boots (tall or short) to her outfit.

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Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Answer:1/2 of the teapot

Step-by-step explanation: Since 1/3 of the teapot is equal to 2/3 of the container, 1/3 of the container is equal to half of 1/3 of the teapot. We know that 1/3 divided by 2 equals 1/6, so 1/6 of the teapot is equal to 1/3 of the container. There are 3-thirds in a whole so we have to multiply 1/6 by 3. This equals 3/6 or 1/2.

The correct answers are 1, 2, and 5 AB=BC,AD=2AC and BD=CD.

Circle is a two-dimensional shape made up of points that are all the same distance from the center point. This distance is called the radius. Circles are one of the most fundamental shapes in geometry, and can be found in nature in many places, from the sun to the rings of Saturn. Circles can also be used to create other shapes such as ellipses, sectors and arcs.

1. The two circles have the same radius.

2. The two circles intersect at two distinct points.

3. The line segment connecting A and C is the diameter of the larger circle.

4. The line segment connecting A and C is the radius of the smaller circle.

5. The two circles have different radii.

6. The two circles have the same circumference.

The correct answers are 1, 2, and 5.

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Answer:

It will take them 20 years to make the same salary

Step-by-step explanation:

Let us solve the question

Assume that they will have the same salary after x years

∵ Alex makes $30,000 a year at his job

∵ He gets a $2,500 a year raise every year

∵ He will work x years

→ That means his salary is the sum of a fixed amount and the raise times x

∴ His salary = 30000 + 2500(x) ⇒ (1)

∵ Sydney makes $40,000 a year

∵  He gets a $2,000 raise every year

∵ He will work x years

→ That means his salary is the sum of a fixed amount and the raise times x

∴ His salary = 40000 + 2000(x) ⇒ (2)

∵ They will make the same salary after x years

→ Equate (1) and (2)

∴ 30000 + 2500x = 40000 + 2000 x

→ Subtract 30000 from both sides

∴ 2500x = 2000x + 10000

→ Subtract 2000x from both sides

∴ 500x = 10000

→ Divide both sides by 500

∴ x = 20

∴ It will take them 20 years to make the same salary

The probability that the mean time for the sample of 100 returns for this year is greater than 92 is 0.0764.

The term probability in math refers the possibility of occurring the event.

Here we have given that Bones brothers & associates prepare individual tax returns. Over prior years, bones brothers has maintained careful records regarding the time to prepare a return.

And we need to find the probability that the mean time for the sample of 100 returns for this year is greater than 92

As per the given question, we know the following values,

=> mean,μ=90

=> population standard deviation,σ=14

=> sample size ,n=100

Then the standard error is 1.4

Therefore, the z value is obtained by the z table is 0.9236.

Then the resulting probability is calculated.

=> 1 - 0.9236

=> 0.0764

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Answer:

y = -10x + 5 and y = 2/5x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

for your first problem, just plug in the m and b values to complete the equation.

1.) y = mx + b ⇒ y = -10x + 5

plug in -10 for x (slope) and 5 for b (y-intercept)

and for the second problem...

since you're given a value for slope as well as a coordinate pair, all you need to do is plug those values into the equation for their respective variables and then solve for b. (it doesn't matter what order you plug values in, but i'm going to fill them in in the order of the equation; y, m, and x)

1.) plug in -1 for y

y = mx + b ⇒ -1 = mx + b

2.) plug in 2/5 for m

-1 = mx + b ⇒ -1 = 2/5x + b

3.) plug in -5 for x

-1 = 2/5x + b ⇒ -1 = 2/5(-5) + b

now it's time to solve for b! start by multiplying 2/5 and -5.

-1 = 2/5(-5) + b ⇒ -1 = -2 + b

add 2 to both sides of the equation. on the right side, it cancels itself out. on the left side, adding 2 to -1 gives you 1.

and you're left with 1 = b! :)

therefore, y = 2/5x + 1

i hope this helps! have a great day <3

Out of 8 members of the committee, it is possible to create two subcommittees only.

We know that in order to create subcommittees. we need to divide the total number of people on the committee into equal parts so that they form subcommittees.

Here, it is given that there are 8 members on the committee.

A subcommittee needs to have 3 people in it.

On dividing 8 people into groups of three, we get

⇒ \(\frac{8}{3}\)

⇒ 2.66..

Here, it is obvious that the 0.66... can not be considered because it is not a whole number and hence, does not mean any number of people.

So, we can create only two different subcommittees from 8 members on the main committee.

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The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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Answer:

169/16

Step-by-step explanation:

13/4

what is a square at first

a square is the result of multiplying a number by itself

so the square of 13 will be 169

and the square of 4 will be 16

so easy...bingo

Answer:

slope = 1

y - intercept = (0.-4)

Answer:

  a) y = |1/2x -2| +4

  b) y = |1/2x -2| +2

  c) y = |1/2x -3/2| +3

  d) y = |1/2x -5/2| +3

Step-by-step explanation:

You want the equations for the translation of y = |1/2x -2| +3 ...

The transformation of a function required to translate it (right, up) by (h, k) units is ...

  f(x) = f(x -h) +k

For (h, k) = (0, 1), the new function is ...

  y = |1/2x -2| +3 +1

  y = |1/2x -2| +4

For (h, k) = (0, -1), the new function is ...

  y = |1/2x -2| +3 -1

  y = |1/2x -2| +2

For (h, k) = (-1, 0), the new function is ...

  y = |1/2(x -(-1)) -2| +3

  y = |1/2(x+1) -2| +3

  y = |1/2x -3/2| +3

For (h, k) = (1, 0), the new function is ...

  y = |1/2(x -1) -2| +3

  y = |1/2x -5/2| +3

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Answer:

ME TOO

Step-by-step explanation:

Function transformation involves changing the position of a function.

The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).

The functions are given as:

\(\mathbf{f(x) = x}\)

\(\mathbf{g(x) = -5f(x) + 2}\)

Substitute x for f(x) in g(x)

\(\mathbf{g(x) = -5x + 2}\)

The +2 in \(\mathbf{g(x) = -5x + 2}\) means that, g(x) is gotten by translating f(x) up by 2 units.

The -5 in \(\mathbf{g(x) = -5x + 2}\) means that, g(x) has a steeper slope.

Hence, the correct option is (d)

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Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.

The n-th term of the sequence, starting with n = 1, is then

-6 + 0.5 (n - 1) = 0.5n - 6.5

and we want to find the number N such that

\(\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25\)

We have

\(\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25\)

Solve for N :

0.25 N ² - 6.25N + 25 = 0

N ² - 25N + 100 = 0

(N - 20) (N - 5) = 0

N = 20   or   N = 5

Answer:

8th: 23

11th: 32

15th: 44

22nd: 65

18th: 53

Step-by-step explanation:

The pattern is adding 3 each time:

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65

Hope it helps!

Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

Answer:

200

Step-by-step explanation:

1cm=50m

1*4=50*4

4=200 miles

Answer:

A -B-C

Step-by-step explanation:

Line A is going by sevens till it hit s 25 it dosnt fit

line b is going by 5 but 41 dosnt fit

and with c its going by 6 but 41 dosnt fit

Answer:

C and E

Step-by-step explanation:

16, 32, 38, 39, 41, 42, 58

and

18, 30, 34, 38, 43, 45, 68

The outliers are 16

and

68