La galaxia de Andrómeda tiene un
diámetro de 100 000 años luz y está
situada a unos 2 000 000 de años
luz de la Tierra. Expresa el diámetro
y la distancia en kilómetros.
(Sabiendo que: un año luz equivale
aproximadamente 9,4608 x 1012 km).

Answer:

C

Step-by-step explanation:

hope this helps!

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The proportional relationship that models the situation is given as follows:

y = 2x/3.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The variables for this problem are given as follows:

Hence the constant is given as follows:

k = 2/3.

Then the relationship is given as follows:

y = 2x/3.

The problem is incomplete, hence the proportional relationship is given so it can be used to obtain the desired amounts.

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Answer:

Round 55.99 to the nearest tenth is: 56.0

Answer:6.84

Step-by-step explanation:

:)

Answer:

b 16.4 ft

Step-by-step explanation:

To solve this problem using a graphing calculator, we need to plug in the value of q (which is given as 7) into the equation y = 2 csc e, and then graph the resulting equation.

First, we need to convert the angle e from degrees to radians, because the csc function takes its input in radians. We can use the conversion formula:

radians = degrees x (π/180)

So for e = 2, we have:

e (in radians) = 2 x (π/180) = 0.0349 radians

Now we can plug this value into the equation y = 2 csc e:

y = 2 csc(0.0349) ≈ 103.8 feet

This tells us that the length of the rafters needed to make the roof is approximately 103.8 feet. However, the question asks us to round to the nearest tenth of a foot, so the answer is:

y ≈ 103.8 feet ≈ 103.8 rounded to the nearest tenth of a foot

Therefore, the length of the rafters needed to make the roof for q 7" is approximately 103.8 feet, rounded to the nearest tenth of a foot.

So the correct answer is (b) 16.4 feet.

Using the graphing calculator, we find that the length of the rafters needed is approximately 16.4 feet, Therefore, the correct answer is option B, 16.4 feet.

To find the length of the rafters needed for the roof with an angle of 7 degrees, we'll use the given function y = 2 * csc(e), where e is the angle formed by the rafters and the top of the wall. Here's a step-by-step explanation:

1. Convert the angle from degrees to radians: e (in radians) = (7 degrees * π) / 180 ≈ 0.1222 radians.

2. Calculate the cosecant  (csc) of the angle e: csc(0.1222) ≈ 8.185.

3. Plug the value of csc(e) into the function: y = 2 * 8.185 ≈ 16.37.
Using a graphing calculator, we can input the function y = 2 csc e and graph it. Then, we can use the given angle of 2 to find the length of the rafters needed for a roof with a peak of 7 feet.

4. Round the length to the nearest tenth of a foot: 16.37 ≈ 16.4 feet.
When we graph the function, we can see that the length of the rafters is the distance between the x-axis and the point on the graph where y = 7.
So, the length of the rafters needed to make the roof for an angle of 7 degrees is approximately 16.4 feet (Option b).

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30% of students mean 30 students wear contact lenses from a random selection of 100 students studying in a university.

Percentage is a fraction or a ratio of a random sample in which the value of whole is always 100. For example, if Sam received 30% on his arithmetic test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.

Percentage is defined as a certain fraction or number out of a hundred. It is a fraction with the denominator 100, and the sign for it is "%."

Finding the proportion of a whole in terms of 100 is the goal of percentage calculations. There are two methods to calculate a percentage:

Use the unitary approach or try adjusting the fraction's denominator to 100.

How to solve?

30 % = 30/100 of a sample = 0.3 of a sample

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Answer:

C. The difference quotient is 10x+5h +6, so the average rate of change is 10(1)+ 5(4) + 6 = 36

Step-by-step explanation:

The statement is the difference quotient is 10x+5h +6.

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

Given function:

g(x) = 5x² + 6x

interval is x= 1 to x=5

so, the average rate of change is

=10(1)+ 5(4) + 6

= 36

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Answer:

y = 3x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 7 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (- 6, - 9 ) into the partial equation

- 9 = - 18 + c ⇒ c = - 9 + 18 = 9

y = 3x + 9 ← equation of parallel line

Answer:

a

Step-by-step explanation:

I go it right on my test

;)

The option c is correct. The next step she will do multiply the numerator and denominators and then simplify.Then she will solve all equation and find result.

An equation which has an unknown in the denominator of one or more terms.They often have variables in the numerator as well.since fractions can be in the ratios.We can recognize fraction by slash that is written between numbers and variables.

An expression is a combination of symbols that are formed in accordance with dependent rule.In math, expression consist of at least two numbers or variables and at least one arithmetic operation.it is possible to multiply,divide,subtract and add.

Now we solve given problem

1/x^2 - 2/y divide y-2x^2

step 1; y/x^2y - 2x^2/x^2y divide y-2x^2

step2;y-2x^2/x^2y divide y-2x^2

step 3; y-2x^2/x^2y divide y-2x^2

Next step she would be multiply the numerators and denominators.

so we have

y-2x^2/ (x^2y)(y-2x^2)

since y-2x^2 is common in the numerator and denominator. so it divides itself.thus resulr will be 1/ x^2y

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Answer:

above sea level

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

its really simple it's c

Answer:

Step-by-step explanation:

An absolute value function has the standard form

where h and k are the coordinates of the vertex (the pointy part of the graph) and the absolute value of a indicates whether or not the graph is the same width as the parent graph or if it is steeper or flatter. If the absolute value of a is greater than 1, the graph is steeper; if the absolute value of a is greater than 0 but less than 1 (in other words a fraction less than 1), the graph is flatter than the parent. If the graph is upside down, there will be a negative out in front of the absolute value of a. Because our graph is in fact upside down, we will choose one of the options that has a negative in front of it. The fact that it has moved UP from the origin, but not side to side, means that the k value is a +1.

If you are familiar with an absolute value parent graph, the lines go through each diagonal of the grid perfectly. It appears that our graph is steeper (or slimmer) than that. That means that not only is our graph upside down, it also has an a value greater than 1. Putting those 2 facts to use along with our k value of +1, makes our obvious choice the first one listed.

Using the central angle theorem, the degree measure of x is 53°.

The length of AB is 18.8 units.

Given a circle.

We have the central angle theorem,

We have that the angle subtended by an arc of a circle at the center is twice the angle subtended by the same arc at any point on the circle.

Here, the arc is semicircle.

Angle subtended by semicircle at the center= 180°

So, ∠ADB = 180° / 2 = 90°

Interior angles of a triangle sum up to 180°.

x = 180 - (37 + 90) = 53°

sin (x) = BD / AB

sin (53) = 15 / AB

AB = 15 / sin (53)

AB = 18.78 ≈ 18.8 units

Hence the measure of x is 53° and the length of AB is 18.8 units.

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Answer:

I think the answer is 1

Step-by-step explanation:

-(-2)-1

=1

There are 1144 hands of three cards dealt from a standard deck that contains cards from only one suit.

To calculate the number of hands of three cards dealt from a standard deck that contains cards from only one suit, we can use the following approach:

Choose one of the four suits - this can be done in 4 ways.

Choose three cards from the chosen suit - this can be done in (13 choose 3) ways.

As we have only one suit in our hand, we cannot choose any cards from the other three suits.

Therefore, the total number of hands of three cards that contain cards from only one suit is:

4 * (13 choose 3) = 4 * (286) = 1144

Hence, there are 1144 hands of three cards dealt from a standard deck that contains cards from only one suit.

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Therefore, the total number of ways the lights can be arranged on the string is: 14! / (2! * 4! * 5! * 2!).

To find the number of ways the lights can be arranged on a string, we need to calculate the total number of permutations.

The total number of lights is 2 red lights + 4 yellow lights + 5 blue lights + 1 green light + 2 pink lights = 14 lights.

Since all the lights are distinct, we can arrange them in 14! (factorial) ways. However, since there are repetitions of certain colors, we need to account for that.

The red lights are identical, so we divide by 2! (the number of permutations of the red lights among themselves).

The yellow lights are identical, so we divide by 4! (the number of permutations of the yellow lights among themselves).

The blue lights are identical, so we divide by 5! (the number of permutations of the blue lights among themselves).

The pink lights are identical, so we divide by 2! (the number of permutations of the pink lights among themselves).

Therefore, the total number of ways the lights can be arranged on the string is:

14! / (2! * 4! * 5! * 2!)

You can calculate this expression to find the specific number of arrangements.

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A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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Answer:

The image if the point is (-7, -9)

Step-by-step explanation:

∵ The given point is (9, -7)

∴ x = 9 and y = -7

∵ The given point is rotated 270° counterclockwise about the origin

→ By using the third rule above

∴ The image of the point is (y, -x)

→ That mean change the sign of x-coordinate, then switch them

∵ x = 9 and y = -7

∴ The image if the point is (-7, -9)

Answer:

D

Step-by-step explanation:

Please mark brainliest

In each shape there are 4 wholes hence the answer is yes.

A fraction is referred to as the portion of a whole in mathematics. There are two components to a fraction: a numerator and a denominator. The numerator is the number at the top, and the denominator is the number at the bottom.

13a. There are 4 wholes, hence the answer is yes.

13b. Every whole is divided into 2 parts hence the total number of equal parts is 4 *2 = 8. Hence the answer is yes.

13c. The answer is yes.

13d. No

13e. No

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The pair (3, 36) means 3 dozens required 36 cookies

And the unit rate is 12

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

The graph

On the graph, we have

x = dozen

y = cookies

This means that

(3, 36) means 3 dozens required 36 cookies

Using the ordered pair in (a):

The unit rate of the pair (3, 36) is 36/3 = 12.

This means that for every 1 dozen change, there is a corresponding 12 cookies change

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Answer:

33.02 cm in 13inches

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

la verdad no te entiendo nose porque me salen las preguntas en inglés HAHA perdón:(

since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.

To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:

Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))

Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.

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Answer: THE ANSWER IS D. $2.15; $2.83

a taxi company charges passengers 1.75 for a ride,?

a taxi company charges passengers 1.75 for a ride, no matter long the ride is, and an additonal $0.40 for each mile traveled. the rule c=0.40m+1.75 describes the relationship between the number of miles M and the total cost of the ride c.  

what is the charge for 2.7 mile ride

A.    5.13

B.    1.08

C.    2.15

D.    2.83

Favorite Answer

D  2.83

c = 0.4. * 2.7 + 1.75

=> c = 2.83

Step-by-step explanation: It Looks Like The Answer is D

c=0.40(2.7)+1.75=$2.83 so $2.83 is the answer

1.75+(2.7*.4)=

1.75+1.08=

2.83

The answer is $2.83

Answer:

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Answer: x=-7

Step-by-step explanation:

5x-2=6x+5

subtracts 5x from 6x to get x and 5 from -2 to get -7

x=-7