"If x = y, then x + 4 = y + 4" represents the
property of equality.
OA) substitution
B) subtraction
C) addition
D) transitive

The equation for the circle with a center at (-2,5) and a radius of 3 is (x + 2)² + (y - 5)² = 9.

Given that:

Center, (h, k) = (-2, 5)

Radius, r = 3

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The equation for the circle with a center at (-2,5) and a radius of 3 is given as,

(x + 2)² + (y - 5)² = 3²

(x + 2)² + (y - 5)² = 9

More about the equation of the circle link is given below.

https://brainly.com/question/10618691

#SPJ1

I do not think that eleri can cover a distance of 1 km.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The Distance Formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2 where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).

In the abov equestion,

for 1 lap eleri cover a distance of 400m

for 2 laps she will cover a distance of 800m

since

800m<1km

So eleri cannot cover a distance more than 800 m

To learn more about distance, click the following link:-

https://brainly.com/question/661229

#SPJ1

With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.

With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.

As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.

Learn more about distance here

https://brainly.com/question/28956738

#SPJ4

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

Account Title                                              Dr. Amount                  Cr. Amount

Money                                                       \(\$ \ 4,50,000\)  

Depreciation Accumulated                        \(\$ \ 3,00,000\)  

Profit from its sale of development                                                \(\$ \ 3,50,000\)

The Building                                                                                    \(\$\ 4,00,000\)  

(Being sold and registered as a building)

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

The area of the patio is equal to the total area of the patio and the pool combined minus the area of the pool.
So, the area of the patio is 176m² - 50m² = 126m².

To find the area of the patio, we need to subtract the area of the pool from the total area of the patio and the pool combined.

    Start by calculating the area of the pool:
  - The length of the pool is 10m and the width is 5m, so the area of the pool is 10m * 5m = 50m².

  Next, calculate the total area of the patio and the pool combined:
  - The length of the patio and the pool combined is 10m + 2 * 3m = 16m.
  - The width of the patio and the pool combined is 5m + 2 * 3m = 11m.
  - Therefore, the total area of the patio and the pool combined is 16m * 11m = 176m².

  Finally, calculate the area of the patio:
  - The area of the patio is equal to the total area of the patio and the pool combined minus the area of the pool.
  - So, the area of the patio is 176m² - 50m² = 126m².

The area of the patio is 126m².

To know more about area visit:

brainly.com/question/30307509

#SPJ11

The area of the patio surrounding the pool is 126 square meters.

To calculate the area of the patio surrounding the pool, we need to find the total area of the larger rectangle (pool + patio) and then subtract the area of the pool.

Given:

Calculate the length and width of the larger rectangle (pool + patio).

The length of the larger rectangle will be the length of the pool plus twice the width of the patio (since there are two sides of the patio along the length).

The width of the larger rectangle will be the width of the pool plus twice the width of the patio (for the two sides of the patio along the width).

Length of the larger rectangle = Length of pool + 2 x Width of patio

Length of the larger rectangle = 10m + 2 x 3m = 10m + 6m = 16m

Width of the larger rectangle = Width of pool + 2 x Width of patio

Width of the larger rectangle = 5m + 2 x 3m = 5m + 6m = 11m

Calculate the area of the larger rectangle (pool + patio).

Area of the larger rectangle = Length * Width

Area of the larger rectangle = 16m * 11m = 176 square meters

Calculate the area of the pool.

Area of the pool = Length of pool * Width of pool

Area of the pool = 10m * 5m = 50 square meters

Calculate the area of the patio.

Area of the patio = Area of the larger rectangle - Area of the pool

Area of the patio = 176 square meters - 50 square meters = 126 square meters

Therefore, the area of the patio surrounding the pool is 126 square meters.

To know more about an area of the rectangle follow

https://brainly.com/question/28044952

#SPJ4

Answer:

38 cm²

Step-by-step explanation:

Given that,

→ Length (l) = 4 cm

→ Breadth (b) = 3 cm

→ Height (h) = 1 cm

Formula we use,

→ 2(lb + bh + lh)

The surface area of cuboid will be,

→ 2(lb + bh + lh)

→ 2{(4 × 3) + (3 × 1) + (4 × 1)}

→ 2(12 + 3 + 4)

→ 2 × 19

→ [ 38 cm² ]

Hence, the surface area is 38 cm².

The drop in the price of peanut butter would result in an increase in the demand for bread. In other words, the decrease in the price of peanut butter would result in an increase in the demand for bread.

Complementary goods are items that are frequently consumed together. As a result, when the cost of one of them changes, it affects the consumption of the other. When bread and peanut butter are complementary goods, a price reduction of peanut butter results in an increase in its demand. The demand for bread will increase as a result of the decrease in the price of peanut butter. As a result, if the price of peanut butter is reduced, its consumption will rise. As a result, the demand for bread would increase because of the complementary relationship between the two. Bread and peanut butter are complementary goods that are frequently purchased together.

When the price of peanut butter decreases, people would buy more peanut butter, causing them to purchase more bread to go with it. The drop in the price of peanut butter would result in an increase in the demand for bread. In other words, the decrease in the price of peanut butter would result in an increase in the demand for bread. The relationship between complementary goods is, therefore, inverse.

To know more about price visit:-

https://brainly.com/question/19091385

#SPJ11

The particular solution is: y = e^(1/75 x^3 + ln(7)) or equivalently: y = 7e^(1/75 x^3) This is the solution to the separable differential equation dy/dx = x^2/25 that satisfies the initial condition x(0) = 7.

the separable differential equation and find the particular solution.

First, let's rewrite the given equation as a separable equation:
dy/dx = x^2/25

To separate the variables, divide both sides by x^2 and multiply by dx:
(1/x^2) dx = (1/25) dy

Now, integrate both sides with respect to their respective variables:
∫(1/x^2) dx = ∫(1/25) dy

The integrals are:
-1/x = y/25 + C

To find the particular solution satisfying the initial condition x(0) = 7, we need to correct the initial condition, as x(0) should be in the form of y(0) for it to be relevant to our equation. Assuming the correct initial condition is y(7) = 0, let's plug in the values for x and y:

-1/7 = 0/25 + C

Solve for C:
C = -1/7

Now, plug C back into the equation to get the particular solution:
-1/x = y/25 - 1/7

This is the particular solution to the given separable differential equation with the initial condition y(7) = 0.

to learn more about variables click here:

https://brainly.com/question/2466865

#SPJ11

The altitude of the plane at the George Washington Bridge is approximately 0.2095 miles (or 1,106 feet) above sea level, plus whatever the height of the bridge is.

Altitude refers to the height of an object or location above a specific reference point, usually the Earth's sea level. In aviation, altitude is often used to describe the height of an aircraft above sea level, and is measured in feet or meters.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It involves the study of trigonometric functions, which are functions of an angle, and are used to relate the angles and sides of a right triangle.

In the given question,

To solve this problem, we need to use trigonometry and the fact that the plane descended at a 2° angle. Let's assume that the altitude of the plane at the George Washington Bridge is h feet.

Using trigonometry, we know that the tangent of the angle of descent is equal to the difference in altitude divided by the horizontal distance traveled. In this case, we have:

tan(2°) = (h - e) / 6

To solve for h, we need to isolate it on one side of the equation. Multiplying both sides by 6, we get:

6 tan(2°) = h - e

Adding e to both sides, we get:

h = 6 tan(2°) + e

We can use a calculator to find the tangent of 2°, which is approximately 0.03492. Substituting this value and the given distance of 6 miles into the equation, we get:

h = 6(0.03492) + e

h = 0.2095 + e

Therefore, the altitude of the plane at the George Washington Bridge is approximately 0.2095 miles (or 1,106 feet) above sea level, plus whatever the height of the bridge is.

To know more about trigonometry, visit:

https://brainly.com/question/29002217

#SPJ1

(a)The range of the given set of measurements is 4.

(b)The sample mean of the given set of measurements is approximately 5.625.

(c)The sample variance of the given set of measurements is approximately 2.337768, and the sample standard deviation is approximately 1.529.

(a) The range is the difference between the largest and smallest values in the set of measurements. In this case, the largest value is 8 and the smallest value is 4, so the range is 8 - 4 = 4.

To calculate the range, we subtract the smallest value from the largest value. In this case, the largest value is 8 and the smallest value is 4.

Range = Largest value - Smallest value

Range = 8 - 4

Range = 4

The range provides a simple measure of the spread or dispersion of the data. In this case, the range tells us that the values range from the smallest value of 4 to the largest value of 8, with a difference of 4 between them.

(b) The sample mean, denoted as x, is the sum of all the measurements divided by the total number of measurements.

To calculate the sample mean, we add up all the measurements and then divide by the total number of measurements. In this case, we have 8 measurements.

Sum of measurements = 4 + 4 + 7 + 6 + 4 + 6 + 6 + 8 = 45

Sample mean = Sum of measurements / Total number of measurements

Sample mean = 45 / 8

Sample mean ≈ 5.625

The sample mean represents the average value of the measurements and provides a measure of central tendency.

(c) The sample variance, denoted as s^2, measures the variability or dispersion of the data points around the sample mean. It is calculated as the average of the squared differences between each measurement and the sample mean.

To calculate the sample variance, we first calculate the squared difference between each measurement and the sample mean. Then, we average those squared differences.

Squared difference for each measurement:

(4 - 5.625)^2 = 2.890625

(4 - 5.625)^2 = 2.890625

(7 - 5.625)^2 = 1.890625

(6 - 5.625)^2 = 0.140625

(4 - 5.625)^2 = 2.890625

(6 - 5.625)^2 = 0.140625

(6 - 5.625)^2 = 0.140625

(8 - 5.625)^2 = 5.390625

Sum of squared differences = 2.890625 + 2.890625 + 1.890625 + 0.140625 + 2.890625 + 0.140625 + 0.140625 + 5.390625 = 16.364375

Sample variance = Sum of squared differences / (Total number of measurements - 1)

Sample variance = 16.364375 / (8 - 1)

Sample variance ≈ 2.337768

The standard deviation, denoted as s, is the square root of the sample variance.

Sample standard deviation = √(Sample variance)

Sample standard deviation = √(2.337768)

Sample standard deviation ≈ 1.529

These measures provide information about the dispersion or spread of the data points around the sample mean. A higher variance or standard deviation indicates greater variability in the measurements.

To know more about standard deviation, visit;
https://brainly.com/question/31516010
#SPJ11

The equation of the line is y - 1 = -1/4( x + 5/4).

Here we have to find the equation of the line.

Data given:

Point on the line= (-5/4, 1)

slope(m) = -1/4

The formula of the equation of the line:

y - y1 = m(x - x1)

where m = slope of the line

(x1, y1) = point on the line

Now putting the values in the equation we have:

y - 1 = -1/4( x- (-5/4))

y - 1 = -1/4( x + 5/4)

Therefore the equation of the line is y-1 = -1/4( x + 5/4).

To know more about the equation of the line refer to the link given below:

https://brainly.com/question/18831322

#SPJ4

Answer:

x = 10.8

y = 11.2

Step-by-step explanation:

AB : AP = AC : AQ

5 :(5+9) = 6 : (6+x)

5: 14 = 6 :(6+x)

5(6+x) = 14*6

30 + 5x = 84

5x = 54

x = 10.8

AB : AP = BC :PQ

5 :14 = 4 : y

5y = 14*4

y = 11.2

Answer:

A: add 3.8

Step-by-step explanation:

just did it on edge

Answer:

Y-intercept= (0,-1), Slope= -1

Step-by-step explanation:

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The value of sec 19° is approximately 1.058, which corresponds to answer choice D.

To find the value of sec 19° using a calculator, follow these steps:

Turn on your calculator and make sure it is in degree mode.

Enter "19" and press the "cos" button. This will give you the value of cos 19°.

Press the "1/x" button, which represents the reciprocal function, to find the value of sec 19°.

Using this method, we get:

cos 19° = 0.948

1/cos 19° = 1/0.948 ≈ 1.058

Therefore, the value of sec 19° is approximately 1.058, which corresponds to answer choice D.

It is important to note that some calculators may have slight variations in their calculations due to rounding or other factors. However, the answer should be very close to 1.058.

Learn more about value here:

https://brainly.com/question/30145972

#SPJ11

anSwer:

120,000x

Step-by-step explanation:

1.2(100000)

If the forces of 20 newtons upward and 20 newtons downward are equal in magnitude and opposite in direction, the object is in a state of equilibrium.

The state of the object can be described by considering the net force acting on it. The net force is the vector sum of all the individual forces acting on the object. In this case, we have a force of 20 newtons upward and a force of 20 newtons downward.

If the two forces are equal in magnitude and opposite in direction, they will cancel each other out and the net force will be zero. This means that the object is in a state of equilibrium, where the forces are balanced and there is no acceleration. In other words, the object is not moving and remains at rest.

Therefore, if the forces of 20 newtons upward and 20 newtons downward are equal in magnitude and opposite in direction, the object is in a state of equilibrium.

However, if the forces are not equal in magnitude or not opposite in direction, the net force will not be zero. In this case, the object will experience a resulting force in the direction of the greater force. The object will accelerate in that direction according to Newton's second law of motion (F = ma), where F is the net force and a is the acceleration of the object.

To summarize, if the forces of 20 newtons upward and 20 newtons downward are equal and opposite, the object is in a state of equilibrium. If they are not equal and opposite, the object will experience a resulting force and will accelerate in the direction of the greater force.

For more such question on newtons visit

https://brainly.com/question/28171613

#SPJ8

Answer:

(The second option) sin40° = w / 28

Step-by-step explanation:

sin40° = opposite / hypotenuse

sin40° = w / 28

Answer:

C.  All real numbers.

Step-by-step explanation:

The domain is the set of all x values that are used by points on the graph.  This is a sine wave, and we assume it extends infinitely far to the left and right.  Even without that assumption, you can eliminate the other answers.

A. This describes the numbers on the x-axis between 0 and 5, inclusive.  But the graph includes many more points with x-coordinates beyond that interval.

B. The same sort of thing: the graph extends well beyond the interval of x values between -5 and 5, inclusive.

D.  This would mean the graph has only points with positive x-coordinates, but there are many with negative (or 0) x-coordinates.

the answer to your question is B. A 5-minute reduction in the time to run a race

Answer: B

Step-by-step explanation: it is B bc all of them r postitive... 5 more worker is more people to help at a buisness

HAVE A WONDERFUL DAY!

The measure of center shows that the Allstars typically have the tallest players.

Mean is the average of all the values in the dataset, while median is the middle value in a sorted list of values. Mean is affected by outliers, while median is not.

Calculating the means:

Allstars: (73+62+60+63+72+65+69+68+71+66+70+67+60+70+71)/15 = 1005/15 = about 67.1 inches

Champs: (62+69+65+68+60+70+70+58+67+66+75+70+69+67+60)/15 = 996/15 = about 66.4 inches

Calculating the medians:

Allstars: 68 inches (arrange the values in ascending order: 60, 60, 62, 63, 65, 66, 67, 68, 69, 70, 70, 71, 71, 72, 73; the middle value is 68)

Champs: 67 inches (arrange the values in ascending order: 58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 70, 70, 69, 75, 70; the middle value is 67)

Comparing the means and medians, we can see that the Allstars have a slightly higher mean and median than the Champs. Therefore, based on the measure of center, the Allstars typically have the tallest players.

Learn more about mean on;

https://brainly.com/question/1136789

#SPJ1

Answer: the answer should be A or the first option

The Allstars, with a mean of about 67.1

Step-by-step explanation:

Allstars: 73+62+60+63+72+65+69+68+71+66+70+67+60+70+71=1007

Champs: 62+69+65+68+60+70+70+58+67+66+75+70+69+67+60=996

1007 divided by 15 = 67.1

996 divided by 15 = 66.4

the mean of the allstars is 67.1

the mean of the champs is 66.4

Answer:

B

Step-by-step explanation:

The answer is B, because if X is 1 and you multiply x by 5 you get 5. But after multiplying that you have to add 9. 9+5=14 so therefore the answer is B.

The appropriate data that the coach should investigate is each runner's best time completing the 100-meter dash and it's quantitative data

SO, the correct is is D

This data is quantitative because it involves measuring a numerical value, which is the time it takes for each runner to complete the 100-meter dash.

Categorical data, on the other hand, refers to data that is divided into categories or groups, such as the color of each runner's shoes or their names.

By looking at the quantitative data of each runner's best time, the coach can determine which runners are the fastest and would be the most appropriate for the 4 x 100-meter relay team.

Hence the answer of the question is D.

Learn more about quantitative data at

https://brainly.com/question/14810759

#SPJ11

Answer:

The answer is C

Step-by-step explanation:

Answer:

c is correct

hope it helped

Gradual, long-term movement in time-series values is called temporal variation. Therefore, the correct option is (a) temporal variation.

Temporal variation is one of the components of a time series, along with seasonal variation, cyclical movement, and irregular or random variation. Temporal variation refers to the long-term trend or pattern of movement in the time series, which can be increasing, decreasing, or remaining constant over time. It is often caused by underlying factors such as population growth, economic changes, or technological advancements.

Cyclical movement refers to the regular, repeating up and down patterns in the time series, which are usually longer than a year and can be caused by factors such as business cycles or political cycles. Exponential smoothing and linear regression are statistical methods used to forecast or model time series data, but they do not describe the components of the time series themselves.

To know more about time-series,

https://brainly.com/question/31871558

#SPJ11

x = ± π/2 + 2kπ    with k ∈ Z is the solution of fundamental identities

What is fundamental identities?

An equation is referred to as an identity if it has one or more variables and holds true for any replacement value of each variable that is specified on both sides of the equation.

 y = cscx

  y³ - y² - y + 1 = 0   has a root for y = 1

=  y³ - y² - y + 1  

= ( y² - 1 ) ( y - 1 )

= ( y + 1 ) ( y - 1 )²

   cscx = ± 1

  sinx = ± 1

or

  x = ± π/2 + 2kπ    with k ∈ Z

Learn more about fundamental identity

brainly.com/question/16921757

#SPJ1