Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this composition of transformations?

Answer:

the answer is c

Step-by-step explanation:

2/5=.4

4/8=.8

.4 is smaller than .8

Answer:

C

Step-by-step explanation:

2/5= 0.4

1/10= 0.1

4/5= 0.8

Answer: the average color of the population would become paler.

Step-by-step explanation:

study island

The average color of the population would become paler would living in White Sands National Monument for a few generations change a population of eastern fence lizards. Hence, option C is correct.

It's difficult to travel to White Sands National Park, and there aren't many things around to keep you very busy. It's a peaceful area with peculiar traits and uncommon lifeforms. Not everyone can benefit from it, but some of us can. If you go, sand will likely go in your eyes as well as your boots.

Plan to spend a whole day in White Sands National Park for the finest experience. Early in the morning, before the tourists gather and the warmth rises, hike the Alkali Flat Trail. Have a picnic lunch and go sledding on the dunes around noon. One of the shorter hiking trails is another option.

Thus, option C is correct.

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The horizontal component of the force is 2.5 N, which is determined using the concept of work done and the formula for kinetic energy.

The horizontal component of the force can be determined using the concept of work done and the formula for kinetic energy. The work done on an object is given by the product of the force applied and the displacement along the direction of the force:

Work = Force * Displacement * cos(θ)

Given that the displacement along the horizontal direction is 0.4 m and the force is 5 N, the work done is: Work = 5 N * 0.4 m * cos(θ)

Since the object gains kinetic energy of 1 J, we can equate the work done to the change in kinetic energy: 5 N * 0.4 m * cos(θ) = 1 J

To find the horizontal component of the force, we rearrange the equation: 5 N * 0.4 m * cos(θ) = 1 J

cos(θ) = 1 J / (5 N * 0.4 m)

cos(θ) = 1 / 2

θ = arc cos(1/2)

Using the inverse cosine function, we find that θ = π/3 or 60 degrees.

Therefore, the horizontal component of the force is:

Force horizontal = Force * cos(θ) = 5 N * cos(π/3) = 5 N * 0.5 = 2.5 N.

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The expression that represents the fee for signing up the day of the activity is x + 0.20x. This means that fee for signing up the day of the activity is original fee (x) plus an additional 20% of original fee (0.20x).

For example, if the community center charges $50 for signing up before the day of the activity, then the fee for signing up the day of the activity would be:

$50 + ($50 x 0.20) = $50 + $10 = $60

So, individuals who sign up the day of the activity are charged a higher fee than those who sign up before the day of the activity, because they are charged the original fee plus an extra 20% of the original fee. This is often used as an incentive for individuals to sign up early and to help the community center plan and prepare for the activity accordingly.

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Answer :

= 2x² − 10x

Step-by-step explanation:

= 2x(x − 5)

= (2x)(x + −5)

= (2x)(x) + (2x)(−5)

= 2x² − 10x

The distance between the two ships is 3.07 miles (approx). The given polar coordinates are converted into rectangular coordinates with the help of sine and cosine functions.

Given data:

The location of two ships from mays landing lighthouse, given in polar coordinates, are 3 mi, 170 and 5 mi, 150.

.To find:Distance between the ships

Formula used:

Distance between the ships = \(sqrt(d1^2 + d2^2 - 2*d1*d2*cos(theta1 - theta2)).\)

where d1 = 3 mi, theta1 = 170°, d2 = 5 mi, theta2 = 150°.

Calculation:Squaring and adding the given distances,sqrt(3² + 5² - 2*3*5*cos(170° - 150°))

:Distance between the ships is 3.07 miles (approx).

:Thus, the distance between the two ships is 3.07 miles (approx). The given polar coordinates are converted into rectangular coordinates with the help of sine and cosine functions. The formula used for finding the distance between the two ships is \(sqrt(d1^2 + d2^2 - 2*d1*d2*cos(theta1 - theta2)).\)

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Lin's family make a trip of length 50 miles.

What is a trip?

People move between far-off geographic regions when they travel. Travel can be done with or without luggage, on foot, by bicycle, car, rail, boat, airline, ship, or by another mode of transportation. It can also be one way or round trip.

Given that Lin's family had completed 60% of a trip.

Thus they have to travel (100 - 60)% = 40% of the trip.

Also given that, they have traveled 30 miles..

Therefore,

60% of the trip is equal to 30 miles.

1% of  the trip is equal to 30/60% miles.

100%  the trip is equal to (30× 100%)/60% miles.

                                         = 50 miles.

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Given that a is in Quadrant 2 and sin(a) =, we need to calculate the value of a. However, the value of sin(a) is missing in the question.

Please provide the value of sin(a) to proceed further. Similarly, given that B is in Quadrant 1 and tan(B) = 1, we need to calculate the exact answers for sin(2/3), cos(26), and tan(23).Here are the steps to calculate the exact answers for sin(2/3), cos(26), and tan(23):Given that B is in Quadrant 1 and tan(B) = 1:Since

tan(B) = opposite / adjacent We can assume opposite side as x and adjacent side as 1. Therefore, we get:

Tan(B) = opposite / adjacent

=> 1 = x/1

=> x = 1 Hence, the opposite side in the right triangle is 1.

Now, we can use the Pythagorean Theorem to find the adjacent side. Using the Pythagorean Theorem, we get:

hypotenuse^2 = opposite^2 + adjacent^2

=> hypotenuse^2 = 1 + 1

=> hypotenuse = √2a.

sin(2a) = sin 16/9 Given that a is in Quadrant 2, the value of cos(a) is positive and sin(a) is negative.

sin(a) = -16/9

cos(a) = sqrt(1 - sin^2(a)

= sqrt(1 - (256/81))

= sqrt(25/81)

= 5/9cos(2a)

= cos^2(a) - sin^2(a)

= (5/9)^2 - (16/9)^2

= 25/81 - 256/81= -231/81

tan(2a) = (2tan(a))/(1 - tan^2(a)

)= 2 * (-16/9) / (1 - (-16/9)^2)

= -32/145 Given that B is in Quadrant 1 and

tan(B) = 1:b. cos(26)We know that

cos(90 - 26) = sin(26) and

sin(90 - 26) = cos(26)

cos(90 - 26) = sin(26)

= sin(64)= cos(26)c. tan(23) We can use the identity

tan(2x) = 2tan(x) / (1 - tan^2(x))

tan(2*23) = tan(46)

= 2tan(23) / (1 - tan^2(23))

=> 1/tan(46) = 2/tan(23) - tan(23)

=> tan(23)

= (2 / tan(46)) + tan(46) We know that

tan(90 - 46)

= cot(46)

= cot(44)

= 1/tan(44) Substituting this value, we get

tan(23) = (2 / (1/tan(44))) + (1/tan(44))

= 2tan(44) + tan(44)

= 3tan(44)

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The function rule that represents the total number of y miles a truck will have on the odometer after x weeks y = 5x + 3

A truck has 3 miles on its odometer

accumulates an average of 5 more each week

This represents a linear function that can be modeled follows

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = 5x + 3

Definition of variables to suit the problem to be solved

y = Total mileage covered = the output

5 = mileage covered per week = slope of the line

x = number of weeks = the input variable

3 = mileage already the odometer = the y intercept

The equation is represented as

y = mx + c

y = 5x + 3

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Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

The compound inequality can be expressed as "x > -4 or x ≤ 4."

The correct graph of the solution is:

OC. Solution: x > -4 and x ≤ 4

Let's solve the compound inequality step by step:

x + 7 > 3

Subtract 7 from both sides to isolate x:

x > 3 - 7

x > -4

and, we have,

x - 5 ≤ -1

Add 5 to both sides to isolate x:

x ≤ -1 + 5

x ≤ 4

Now, we have two inequalities for x:

x > -4

x ≤ 4

The compound inequality can be expressed as "x > -4 or x ≤ 4."

The correct graph of the solution is:

OC. Solution: x > -4 and x ≤ 4

The graph will include all values greater than -4 (open circle) and all values less than or equal to 4 (closed circle) on the number line.

The correct representation is:

OC. Solution: x > -4 and x ≤ 4

Graph:

-5 -4 -3 -2 -1 0 1 2 3 4 5

+---|---|---|---|---|---|---|---|---|---+

-4 0 4

The open circle at -4 indicates that x is greater than -4, and the closed circle at 4 indicates that x is less than or equal to 4.

The shaded area between -4 and 4 represents the solution to the compound inequality.

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Answer:

Step-by-step explanation:

The first answer is (B). This is because it shows all of the vertices coming from the middle.

The second answer is (B). This is because you can’t have the middle vertex as the beginning letter.

Step-by-step explanation:

By sum of angles on a straight line = 180°,

we have Angle A + Angle B = 180°,

Angle C + Angle D = 180°, and

Angle E + Angle F = 180°.

Hence Angles A + B + C + D + E + F = (180°) + (180°) + (180°) = 540°.

Answer:

Step-by-step explanation: 1/4

Answer:

7

Step-by-step explanation:

First use Pyth Theorem to find the length of the whole side.

8^2 + 20^2 = c^2

64 + 400 = c^2

21.54 = c

Round to 22

22 - 15 = 7

Answer:

Domain: {-10, -8, -6, -4}

Range: {-5, -4, -3, -2}

Step-by-step explanation:

The domain is a set of all the x's. Here you were given points and the first number in the parenthesis is the x in (x, y). Sometimes they will give you a table or a graph. But domain is all the x's gathered together. I put them in order from small to big to be neat. There aren't any repeats here, but if there ever are repeats you don't have to list them multiple times, just once.

The range is all the y's in the points (x, y) its the second number. Gather all the y's in a set, that is the range.

Answer:

Yes, Nevan wins = 96

Step-by-step explanation:

58(7/4)-22(1/4) = 96

Answer:

12 pages a minuet

Step-by-step explanation:

all you would do is divide 36 by 3 or 108 by 9 which simplifies down to 12 pages every minuet  

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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The given points show that y is directly proportional to x and the constant of variation is 1/3.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given the points,

(27, 9); (18, 6) (12, 4)

If we look at values,

27 = 9 × 3

18 = 6 × 3

12 = 4 × 3

Therefore x = y × 3

y = x/3 ⇒ y = (1/3)x

It means y ∝ x and the constant of proportion is 1/3

Hence "The given points show that y is directly proportional to x and the constant of variation is 1/3".

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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36 square units make up the larger circle's surface area.

We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.

Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.

We know that the area of a circle is given by the formula A = πr^2.

We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:

A = πr^2 => r^2 = 9/π => r = sqrt(9/π)

Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:

A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36

So the area of the larger circle is 36 square units

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It takes 3.6 hours for Emily and her apprentice to build a wall together and Emily completes 1/6 of the job in one hour.

As Emily can build a wall in 6 hours and her apprentice can do the job in 9 hours; therefore

Emily = 1/6 of the job per hour and,

Her apprentice = 1/9 of the job per hour

Now we can calculate the time it takes them to build a wall together by adding the fractions as follows;

1 / 6 + 1 / 9 = 3 / 18 + 2 / 18 = 3+2 / 18 = 5 / 18 of the job per hour;

Therefore the time to build a wall is calculated as follows;

5 / 18 of the job per hour = 18 / 5 hours to complete the job

18 / 5 = 3.6 hours

Hence it took them 3.6 hours to build a wall together.

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Answer:

Step-by-step explanation:

3+2(8-3)

3+2*5

3+10

13

use BODMAS rule (Bracket Of Division Multiplication Addition and Subtraction).

Answer:

55.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

276.2÷5=55.24≈55.2

There are 90 positive odd integers less than 1000 that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 by choosing any of the three odd digits as the last digit, and any of the remaining digits for the first and second positions.

To form a positive odd integer, the last digit must be an odd number, i.e., 1, 3, 5. For each of these three possible last digits, we can choose any of the remaining six digits for the first position, and any of the remaining five digits for the second position (since we cannot repeat digits in forming a positive integer).

Therefore, the total number of positive odd integers less than 1000 that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 is:

3 × 6 × 5 = 90

So there are 90 positive odd integers less than 1000 that can be formed from the given digits.

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Answer:

10x²+6x-28

I think that's right, sorry if not.

Answer:

Its 10x^2+6x+28

Step-by-step explanation:

You can see the picture for further explanation .