Quadrilateral ABCD is rotated 90° counterclockwise about the origin.
Move numbers to the lines to complete the sentence about the image A B C D
Line segment A B haw a length of ___ units and line segment C D has a length of ___ units.

answers are 2, 3, 4, 5, 6, 8.​

The statements that are true include the following:

B. Both graphs are exponential function.

C. Both graphs have exactly one asymptote.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

In Mathematics and Geometry, a horizontal asymptote is a horizontal line (y = b) where the graph of a function approaches the line as the input values (domain or independent value) approach negative infinity (-∞) to positive infinity (∞).

Read more on horizontal asymptote here: https://brainly.com/question/28028475

#SPJ1

Answer:

Step-by-step explanation:

495. I just took it 100%

The measure is of an angle that is coterminal with a 135° angle is,

⇒ 495°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

The angle is,

⇒ 135°

Now, To find the coterminal angle add 360 to the given angle as;

⇒ 360 + 135

⇒ 495°

Thus, We get;

Coterminal angle = 495 degrees

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

A 98% confidence interval estimate for the average age of all his customers is between 25.8 and 28.4 years old.

To find the confidence interval, we need to use the formula:

CI = x ± zα/2 * (σ/√n)

where

x = sample mean

σ = population standard deviation

n = sample size

zα/2 = z-score for the level of confidence (α/2)

We are given:

n = 53

σ = 4

α = 0.02 (since we want a 98% confidence interval, α = 1 - 0.98 = 0.02)

x = (23+38+31+22+27+35+20+18+37+27+17+36+34+35+27+18+20+36+23+32+21+26+39+28+23+33+28+22+30+17+16+27+24+32+22+40+40+31+19+16+39+34+16+39+34+22+31+19+16+39+34+16+33) / 53 = 27.11

To find zα/2, we need to look at the z-table or use a calculator:

zα/2 = 2.33 (for a 98% confidence interval)

Now we can plug in the values:

CI = 27.11 ± 2.33 * (4/√53)

CI = 27.11 ± 1.31

CI = (25.8, 28.4)

Therefore, we can say with 98% confidence that the average age of all the boutique customers is between 25.8 and 28.4 years old.

Learn more about confidence interval at https://brainly.com/question/15738214

#SPJ11

Answer:

Step-by-step explanation:

Sides of the rectangular garden:

Add the width of the walkway, 2 feet from both sides, the total of 4 feet:

The product of the above is the area of the garden and the walkway

Correct option is D

Answer:

D. the total area of the garden and walkway

Step-by-step explanation:

Sides of the rectangular garden:

w and w + 3

Add the width of the walkway, 2 feet from both sides, the total of 4 feet:

w + 4 and w + 7

The product of the above is the area of the garden and the walkway

Correct option is D

Hope this helps!

Answer:

x = 9

Step-by-step explanation:

Given

6x = 54 ( divide both sides by 6 )

x = 9

Answer:

x = 9

Step-by-step explanation:

Another way of doing this is by guessing and checking.

What number multiplied by 6 equals to 54?

Well, we know that 6 x 5 = 30.

6 x 6 = 36

6 x 7 = 42

6 x 8 = 48

6 x 9 = 54

Double Checking by replacing the variable from the equation by 9...

6 x 9 = 54

We can also just put the variable on one side of the equal sign and then move the 6 over with the 54, and also changing the operation from multiplication to division.

Showing you so it makes sense...

6x = 54

6 · x = 54

x = 54 ÷ 6

x = 9

Hope this helped. :)

Answer: 23

Step-by-step explanation:

The number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.

A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.

Given that, Sine function model: h=-82.5cos3π(t)+97.5 where h is the height of the passenger above the ground measure in feet and t is the time of operation of the ride in minutes.

The duration of the ride is 15 min.

Let the period be T, then we can write:

h=-82.5.cos(2πt/T)+97.5

So, we must have 2π/T =3π or T=2/3 minutes

Number of complete periods

Floor(15/T)=22

Therefore, the number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.

To learn more about the trigonometric equation visit:

brainly.com/question/23599274.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.

The duration of the ride is 15 min.

How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel.

Answer:

NP NP

Step-by-step explanation:

this is the only solution that works for the question

The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

Learn more about z-score

brainly.com/question/15016913

#SPJ11

We need to select different combinations of friends for a week and include every friend at least once. The possible number of ways is 72.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

The formula for combination is as follows:

\(C(n,r) = \frac {n!}{r!(n-r)!}\)

Number of for first 5 days = C(7,3)+C(6,3)+C(5,3)+C(4,3)+C(3,3)

=70

2 friends are remaining for last two days and we can assign them in any group of 3.

Total number of ways = 70 +2

=72

To learn more about combination and permutation visit:

https://brainly.com/question/23283166

#SPJ4

Please add more information

Answer:

hey mate I couldn't understand ur question.......plz recheck.....

Answer:

the answer is two, the slope would be two

Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.

Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

Given,Laplace Transform: `2s-1/(s+1)(s²+16)``Y(s) = A/s+1 + Bs+C/(s²+16)`We need to find the value of coefficient `B`.From the given Laplace Transform, we can rewrite it as follows: `2s-1/(s+1)(s²+16) = A/s+1 + Bs + C1/(s-4) + C2/(s+4)

`Using partial fractions, the above equation can be written as:`2s - 1 = A(s+4)(s-4) + B(s+1)(s-4) + C1(s+1)(s+4)`Let's substitute s = -1 in the above equation:`2(-1) - 1 = A(-1+4)(-1-4) + B(-1+1)(-1-4) + C1(-1+1)(-1+4)``-3 = 15A - 0B + 0C1`Let's substitute s = 0 in the above equation:`2(0) - 1 = A(0+4)(0-4) + B(0+1)(0-4) + C1(0+1)(0+4)``-1 = -16A - 4B + 4C1`Let's substitute s = 2 in the above equation:`2(2) - 1 = A(2+4)(2-4) + B(2+1)(2-4) + C1(2+1)(2+4)``3 = 6A - 3B + 21C1`

Solving the above equations, we get:A = 1/10B = 1/2C1 = -1/10Substituting these values, we get:`2s - 1 = 1/10(s+4)(s-4) + 1/2(s+1)(s-4) - 1/10(s+1)(s+4)`Simplifying, we get:`2s - 1 = (-s² - 15s - 4)/20`Multiplying both sides by 20, we get:`40s - 20 = -s² - 15s - 4`Putting the above equation in standard form, we get:`s² + 15s + 36 = 0`

Solving for s, we get the roots as -3 and -12.So the partial fraction expansion of `2s-1/(s+1)(s²+16)` is:`Y(s) = 1/10(s+1) + 1/2(s-4) - 1/10(s+4)`Hence, the value of coefficient `B` is `1/2`.

The Laplace transform converts a linear differential equation into an algebraic equation. If we want to obtain the inverse Laplace transform, we can solve the algebraic equation and obtain the inverse Laplace transform by using a table of Laplace transforms. In partial fraction expansion, a rational function of s is written as a sum of simple rational functions.

In conclusion, the partial fraction expansion of `2s-1/(s+1)(s²+16)` is `Y(s) = 1/10(s+1) + 1/2(s-4) - 1/10(s+4)` and the value of coefficient `B` is `1/2`.

To know more about Laplace Transform visit

https://brainly.com/question/30759963

#SPJ11

Answer:

the equivalent ratio to 240 is 10.

The fraction of the whole stick is each piece are 1/7, 2/7, and 4/7 respectively.

The given problem states that a stick is cut into three pieces, each having a different length.

Each piece (except the shortest) is twice as long as another piece.

We are to find the fraction of the whole stick is each piece.

Since we have three pieces of the stick, let us assume their lengths be a, b, and c respectively such that the length of the shortest stick is a.

As per the problem, each piece (except the shortest) is twice as long as another piece, thus their lengths can be taken as 2a and 4a respectively.

a + 2a + 4a = 7a

From the above equation, we can say that the sum of the lengths of the three pieces is 7a, which is equal to the length of the whole stick.

Hence, each of the three pieces has a fraction of the whole stick as follows:

a/7a = 1/7 (shortest piece)

2a/7a = 2/7 (middle piece)

4a/7a = 4/7 (longest piece)

Therefore, the fraction of the whole stick is each piece are 1/7, 2/7, and 4/7 respectively.

To learn more about fraction from the given link.

https://brainly.com/question/78672

#SPJ11

Answer:

#1  4) D

#2 4) D

#3 1) A

Step-by-step explanation:

#1 The opposite of -4 is 4, which represents point D.

#2 Rewrite each choice. || means absolute value, the number inside must be converted to positive.

A. -42, 15, 21, 34, 28

B. -42, 34, 15, 21, 28

C. 34, 28, 21, 15, -42

D. -42, 15, 21, 28, 34

Only choice D was in order from least to greatest.

#3 (3,-2) means that x is 3, y is -2.

37.5% of the area between 550 and 725 on a standardized test of educational achievement lies within one standard deviation of the mean score of 600.

The area between 550 and 725 on a standardized test of educational achievement is equal to the percentage of students whose scores fall within one standard deviation (or 68%) of the mean score of 600. This can be expressed mathematically as:

Percentage = (725 - 550) / (2 * 50) = 37.5 / 100 = 37.5%

To explain in more detail, a standard deviation is a measure of the spread of a dataset around its mean value. The mean value in this case is 600, and the standard deviation is 50. Therefore, one standard deviation from the mean is calculated by subtracting or adding the standard deviation (50) from the mean (600), giving a range of 550 to 650.

Since the area in question spans across two standard deviations (550 to 725), the area is calculated by subtracting the lower range (550) from the upper range (725) and then dividing it by two standard deviations (100). This gives us the area, which is 37.5%.

To summarize, 37.5% of the area between 550 and 725 on a standardized test of educational achievement lies within one standard deviation of the mean score of 600.

See more about standard deviation at: https://brainly.com/question/475676

#SPJ11

A nonlinear regression model is represented by the equation y = 1/(a0 + B1x) + u, thus option C is the correct answer.

The nonlinear regression model is an extension of the linear regression model. It's used to fit more complex models to data and determine the relationship between variables that cannot be explained by a straight line. A nonlinear regression model is a statistical method that analyzes data that is not linear. There are many forms of nonlinear regression models, each with its assumptions and properties. These models are frequently used in finance, economics, biology, engineering, and other fields to predict outcomes that can not be predicted using linear regression models. Nonlinear regression models are advantageous over linear models because they are more accurate, as they can model data that does not conform to a straight line.

A nonlinear regression model can be expressed in a general way as y = f (x, β) + ε, where y is the dependent variable, x is the independent variable, β is the set of unknown parameters, f( ) is the nonlinear function, and ε is the error term. The model requires the estimation of the unknown parameters in β. This type of model can be used to model several types of non-linear phenomena such as exponential growth and decay, power laws, and asymptotic trends.

To know more about regression visit:

https://brainly.com/question/32505018

#SPJ11

This is the sine model, y that represents the height above the ground of one of the blades of the windmill at any given time t.

Given that the blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute. Let's find the sine model, y. Let's begin by writing the sine function where y represents the height above the ground of one of the blades of the windmill at any given time t and the constant 30 represents the height of the axis. Let's take A to be the amplitude of the function since the blades oscillate between a minimum height of 20 feet above the ground and a maximum height of 40 feet above the ground. Let's also take T to be the period of the function since the blades complete two full rotations in one minute or 2π radians in one period.T = 1 minute = 2π radians per period∴ T = 2π/1 = 2πA = (40 − 30)/2 = 5

To obtain the vertical shift, let's find the average of the minimum and maximum heights since the sine function oscillates above and below the horizontal axis:y = Asin(ωt) + b Where A is the amplitudeω is the angular frequency b is the vertical displacement of the graph

The vertical shift, b = (20 + 40)/2 = 30Since the blades are completing two full rotations in one minute, we can convert this to radians per second as shown:2 rotations = 4π radians2 rotations per minute = 4π radians per minute4π radians per minute = 4π/60 radians per secondω = 4π/60 radians per second

Substituting the values into the sine function, we obtain:y = 5sin[(4π/60)t] + 30Explanation:To summarize the given problem, the blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute. We are to write a sine model, y. From the above explanation, we have found the amplitude (A), period (T), angular frequency (ω), and vertical displacement (b) of the sine function. We then substituted these values into the general form of the sine function to obtain the specific sine model:y = 5sin[(4π/60)t] + 30

To know more about height visit:

brainly.com/question/29131380

#SPJ11

The vector equation for the line is:

r(t) = (1, 0, 6) + t(-4, 1, 4)

The parametric equations for the line.

x(t) = 1 - 4t

y(t) = t

z(t) = 6 + 4t

To find a vector equation and parametric equations for the line passing through the point (1, 0, 6) and perpendicular to the plane x + 4y + z = 7, we can first determine the direction vector of the line.

The normal vector of the plane x + 4y + z = 7 is (1, 4, 1) since the coefficients of x, y, and z represent the normal vector.

Any line perpendicular to this plane must have a direction vector orthogonal to the normal vector of the plane.

Let's call the direction vector of our line (a, b, c).

We know that the dot product of the direction vector and the normal vector of the plane is zero:

(a, b, c) ⋅ (1, 4, 1) = 0

This equation gives us a condition for the direction vector.

We can choose any values for a, b, and c as long as they satisfy this condition.

For simplicity, we can choose a = -4, b = 1, and c = 4, which gives us a direction vector (-4, 1, 4) orthogonal to the plane.

Now, let's denote the position vector of the given point (1, 0, 6) as (x₀, y₀, z₀) = (1, 0, 6).

The vector equation of the line can be written as:

r(t) = r₀ + t × v

where r₀ is the position vector of a point on the line (which is (1, 0, 6)), t is the parameter, and v is the direction vector of the line (-4, 1, 4).

Therefore, the vector equation for the line is:

r(t) = (1, 0, 6) + t × (-4, 1, 4)

Expanding this equation, we get:

x(t) = 1 - 4t

y(t) = t

z(t) = 6 + 4t

These are the parametric equations for the line passing through the point (1, 0, 6) and perpendicular to the plane x + 4y + z = 7.

Learn more about vector equation and parametric equations click;

https://brainly.com/question/30550663

#SPJ4

The measure of the value of x is 70.52 degrees.

Given

A 12-foot ladder is placed 4 feet away from a house as shown.

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

The cos theta is defined as the ratio of the side adjacent to the angle and the hypotenuse.

The following formula is used to calculate the value of x;

\(\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\\)

Where the side adjacent to angle = 4 and hypotenuse is 12.

Substitute all the values in the formula;

\(\rm Cosx=\dfrac{Side \ adjacent \ to \ angle}{Hypotenuse}\\\\\rm Cosx=\dfrac{4}{12}\\\\\rm Cosx=\dfrac{1}{3}\\\\x=Cos{-1}(\dfrac{1}{3}\\\\x= 70.52 \ degrees\\\\\)

Hence, the measure of the value of x is 70.52 degrees.

To know more about Trigonometric ratios click the link given below.

https://brainly.com/question/3630461

Answer:

71

Step-by-step explanation:

Yes, the ladder is being used safely

Mark's average speed for the round trip is 40 miles per hour.

To calculate Mark's average speed for the round trip, we can use the formula:

Average Speed = Total Distance / Total Time

Let's find the total distance and total time for the round trip:

Total Distance = Distance to college + Distance back from college = 30 miles + 30 miles = 60 miles

Total Time = Time to college + Time back from college

To find the total time, we need to calculate the individual times for each leg of the trip.

Time to college = Distance to college / Speed to college = 30 miles / 60 mph = 0.5 hours

Time back from college = Distance back from college / Speed back from college = 30 miles / 30 mph = 1 hour

Now we can calculate the total time:

Total Time = Time to college + Time back from college = 0.5 hours + 1 hour = 1.5 hours

Finally, we can calculate the average speed for the round trip:

Average Speed = Total Distance / Total Time = 60 miles / 1.5 hours = 40 miles per hour

To know more about Distance visit;

brainly.com/question/15256256

#SPJ11

Answer:

27

Step-by-step explanation:

Answer: 58

Step-by-step explanation:

From 10 AM to 1 PM the numbers are 161, 368, 842, and 1918

So now we find the difference between the numbers.

368 - 161 = 207

842 - 368 = 474

1918 - 842 = 1076

now it asked for the average so you add them together then divide by 3

which is (207+474+1076)/3 = 585.66666666....

Then it says to round to the nearest integer which is 586

Hey why not mark me as brainliest

The average increase between 10 AM and 1 PM is 586.

An average is a single number taken as representative of a list of numbers.

Given that, a microbiologist is studying A bacterial culture. Every hour, she counts the number of bacteria.

From 10 AM to 1 PM the numbers are 161, 368, 842, and 1918

The difference between the numbers.

368 - 161 = 207

842 - 368 = 474

1918 - 842 = 1076

Now it asked for the average, so you add them together then divide by 3

Which is (207+474+1076)/3 = 585.66666666....

Rounding to the nearest integer, we get 586

For more references on average, click;

https://brainly.com/question/24057012

#SPJ2

Answer:

1.) The two numbers are 36 and 6.

2.) 42cm + 20cm = 62cm

3.) 3km/hr = rate of current

4.) Each cost 0.79 cents

5.) Mixed is 16 lbs

Blended is 28 lbs

Step-by-step explanation:

Answer:

\((x-2)^2+(y-8)^2=121\)

Step-by-step explanation:

This is because if you can see that the, x is being subtracted by 2, making the x-coordinate +2. and the y is being subtracted by 8, making the y coordinate +8.

(2, 8) = Coordinates

And the reason it has a radius of 11 is because the 121 on the other is the product of 11 times 11.