A. A plane takes off, gaining altitude at a constant rate. When it
reaches its cruising altitude, it remains there. The x-axis
represents time; the y-axis represents altitude.
B. A plane flies at a constant altitude before it begins its descent. It
then loses altitude at a constant rate. The x-axis represents time;
the y-axis represents altitude.
C. Before taking off, an airplane taxis around the airport. After
takeoff, the plane gains altitude at a constant rate. The x-axis
represents time; the y-axis represents altitude.
D. A plane takes off, gaining altitude at a constant rate. It then begins
its descent, losing altitude at a constant rate. The x-axis
represents time; the y-axis represents altitude.

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

Know more about  trigonometry   here:

https://brainly.com/question/13729598

#SPJ8

Answer:

Step-by-step explanation:

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:I think it Is the second

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The last part is -8, which means 8 fewer.

Acceleration is the rate of change of velocity over time

His final velocity is 14.4 meters per second

From the question, we have:

Using the first equation of motion, we have:

\(v = u + at\)

So, the equation becomes

\(v = 0 + 1.8 * 8\)

\(v =14.4\)

Hence, the final velocity is 14.4 meters per second

Read more about acceleration at:

https://brainly.com/question/25256383

Descartes's number is the 46.989, which is less than 47 and higher than 46.98.

A Descartes number is an odd number with the formula n = m p, where m and p are coprime numbers and 2n = (m) (p + 1). P is regarded as a "spoof" prime in this formula. The only known example is the one that was provided. The invention of Cartesian or analytic geometry, which employs algebra to describe geometry, is one of Descartes's most enduring contributions. In equations, Descartes "introduced the convention of denoting unknowns by x, y, and z, and knowns by a, b, and c." A Descartes number is an odd integer that, if one of its composite elements were prime, would have been an odd perfect number.

Given,

Descartes's number is,

46.989, which is less than 47 and higher than 46.98.

To learn more about Descartes's number, visit:

https://brainly.com/question/28368010

#SPJ1

Answer:

1191 cm²

Step-by-step explanation:

Area of parallelogram = base X vertical height.

Call the vertical line h.

h/ sin 80  =  7/ sin 10

h = (7 sin 80) / sin 10

= 39.7.

Area of parallelogram = 30 X 39.7

= 1191 cm²

The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.

Given:

Side length = 30 cm

Using Trigonometry

tan 80 = P / Base

5.6712 = P / 7

P = 39.6984 cm

Using the formula for Area of parallelogram

= Base x height

= 30 x 39.6984

= 1,190.952 square cm.

Therefore, the area is 1,190.952 square cm.

Learn more about Area of Parallelogram here:

https://brainly.com/question/9148769

#SPJ6

\((\stackrel{x}{-2}~~,~~\stackrel{y}{27}) ~~ \textit{lies on }\textit{\LARGE f}\qquad \textit{so then}\qquad f(\stackrel{x}{-2})~~ = ~~\stackrel{y}{27}\)

Answer:

sinn

Step-by-step explanation:

sine

The angle of elevation of the pole from the man's eyes is about 9.2°

The angle of elevation from a point to an elevated location is the angle made by the line from the location to the point and the horizontal line from the point.

The elevation of a man's eye above the horizontal ground = 1.7 m

The (horizontal) distance of the man's eye from the vertical pole = 13 m

The height of the pole = 3.8 m

The angle of elevation of the top of the pole from the man's eye can be found as follows;

The vertical height from the man's eye to the top of the pole = 3.8 m - 1.7 m = 2.1 m

Let θ represent the angle of elevation of the top of the pole to the man's eye, from the trigonometric ratio of tangent, we get;

tan(θ) = 2.1/13

θ = arctan(2.1/13) ≈ 9.2°

Learn more on the angle of elevation to a location here: https://brainly.com/question/12702806

#SPJ1

Answer:

(2,-1)

Step-by-step explanation:

We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:

4(2y + 4) + 2y = 6

Simplifying the left side:

8y + 16 + 2y = 6

Combining like terms:

10y + 16 = 6

Subtracting 16 from both sides:

10y = -10

Dividing both sides by 10:

y = -1

Now that we know y, we can use the second equation to find x:

x = 2y + 4

x = 2(-1) + 4

x = 2

Therefore, the solution to the system of equations is (x, y) = (2, -1).

The correct answer choice is (2, -1).

The sum total by the given data is equals to $658,880.

We are given that;

Percent=15%

Amount= $98,880

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:

15% = 0.15

To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:

$98,880 / 0.15 = $98,880 x 1/0.15

To multiply by 100, we can move the decimal point two places to the right. This gives us:

$98,880 x 1/0.15 x 100 = $658,880

Therefore, by the percentage the answer will be $658,880.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

Answer:

x=17.

Step-by-step explanation:

1) the unknown inside third angle of the triangle is: 180-(8x-11);

2) the sum of all the angles in the triange is 180, it can be written:

180-(8x-11)+5x+(2x+6)=180;

3) the required value of x is: 17

Answer:

b) 18

c) 80.78

Step-by-step explanation:

While we can solve this equation with separation of variables, it isn't necessary.  The coffee is originally at 95°, and the ambient temperature is 18°.  The top right graph is the only one that shows this trend.

As t approaches infinity, y approaches the ambient temperature of 18°.

yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)

yₙ₊₁ = yₙ + 2 (-0.02 (yₙ − 18))

yₙ₊₁ = yₙ − 0.04 (yₙ − 18)

yₙ₊₁ = 0.96 yₙ + 0.72

When n=0:

y₁ = 0.96 y₀ + 0.72

y₁ = 0.96 (95) + 0.72

y₁ = 91.92

When n=1:

y₂ = 0.96 y₁ + 0.72

y₂ = 0.96 (91.92) + 0.72

y₂ = 88.96

When n=2:

y₃ = 0.96 y₂ + 0.72

y₃ = 0.96 (88.96) + 0.72

y₃ = 86.12

When n=3:

y₄ = 0.96 y₃ + 0.72

y₄ = 0.96 (86.12) + 0.72

y₄ = 83.40

When n=4:

y₅ = 0.96 y₄ + 0.72

y₅ = 0.96 (83.40) + 0.72

y₅ = 80.78

Step-by-step explanation:

150 x 60 = 9,000 every hour

9000 x 24 = 216,000 every day

216000x 365 = 78,840,000 every year

Answer:

Hour: 9,000 people

Day: 216,000 people

Year: 78,840,000 people

Step-by-step explanation:

In order to solve this, you need to identify how many minutes there are in an hour, a day, and a year:

Hour: 60 minutes

Day: 60 minutes × 24 hours = 1,440 minutes

Year: 60 minutes × 24 hours × 365 days = 525,600 minutes

Now, you need to multiply each of these numbers by 150 to find how many people are born every hour, day, and year:

Hour: 60 minutes × 150 people = 9,000 people

Day: 1,440 minutes × 150 people = 216,000 people

Year: 525,600 minutes × 150 people = 78,840,000 people

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

Read more on function here: https://brainly.com/question/10687170

#SPJ1

The dairy farmer should use 400 pounds of the 75% protein supplement and 800 pounds of the 30% protein ration to make 1200 pounds of a high-grade 45% protein ration.

To determine how many pounds of each protein supplement the dairy farmer should use, we can set up a system of equations based on the given information.

Let's denote the following:

x = pounds of the 75% protein supplement

y = pounds of the 30% protein ration

The total weight of the mixture is 1200 pounds, so we have the equation:

x + y = 1200

The protein content in the mixture should be 45% of the total weight, so we have the equation:

0.75x + 0.30y = 0.45 * 1200

Now we can solve this system of equations.

First, let's rewrite the second equation in decimal form:

0.75x + 0.30y = 540

To make it easier to work with, we can eliminate the decimals by multiplying both sides of the equation by 100:

75x + 30y = 54000

Now we have a system of equations:

x + y = 1200

75x + 30y = 54000

We can solve this system using any appropriate method, such as substitution or elimination. In this case, let's use the substitution method:

Solve the first equation for x:

x = 1200 - y

Substitute the value of x into the second equation:

75(1200 - y) + 30y = 54000

Simplify and solve for y:

90000 - 75y + 30y = 54000

-45y = -36000

y = 800

Now we can substitute the value of y back into the first equation to find x:

x + 800 = 1200

x = 1200 - 800

x = 400

for such more question on pounds

https://brainly.com/question/12231722

#SPJ8

Answer:

2/3 / 1/6

4/6 / 1/6

1/6 can go into 4/6 4 times. the answer is C; 4

Step-by-step explanation:

Yes, you would distribute the exponent to both the denominator and numerator. For example, if you had an expression like (2/3)^4, you would distribute the exponent to end up with (2^4)/(3^4).

For example, if you have an expression like (2/3)^4, the exponent of 4 should be distributed to both the numerator and denominator, resulting in (2^4)/(3^4). This is equivalent to multiplying the numerator and denominator by the same amount, 4 times. This is the same as writing (2*2*2*2)/(3*3*3*3), or simply

16/81.

1. Start with the expression

(2/3)^4

2. Distribute the exponent of 4 to the numerator and denominator, resulting in

(2^4)/(3^4)

3. This is equivalent to multiplying the numerator and denominator by 4, so (2^4)/(3^4)

= (2*2*2*2)/(3*3*3*3)

4. Simplify the expression to 16/81

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

Answer:

32004

Step-by-step explanation:

To find the mean of the data set we divide the sum of the terms with the number of terms.

32002 + 32003 + 32006 + 32003 + 32005 + 32005 + 32003 + 32005

The sum of the terms is 256032.

The number of terms is 8.

256032/8 = 32004

The mean or average of the data set is 32004.

Answer:

32004, is the mean.

Step-by-step explanation:

To find the mean you need to add all of the numbers given. Doing so here would give you 256,032.

the next step is to count how many of numbers are given: 32002,  32003,  32006,  etc... There are eight numbers here.

The final step is to take the number you previously aquired (256,032) and divide it by the number you most recently aquired (8).

Doing this will get you the mean, which is a grand total of 32,004.

Hope that helps! Let me know if you have any questions about this!

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

Answer:

Step-by-step explanation:

40 x 1 = 40

20 x 2 = 40

10 x 4 = 40

8 x 5 = 40

Answer:

3 over 18 puppies per litter

Step-by-step explanation:

usually, you want to go with the smaller number first, it's like a fraction.

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Answer:

X-18/3

Step-by-step explanation:

Assuming you meant 3x+18

The inverse f(-1) of the equation is above.

Answer:

6

Step-by-step explanation:

.....................

Answer:

6

Step-by-step explanation:

pecentage calculator.what is 75 percent of 8?=6

Theoretical Probability of rolling a 2= 1/20

Experimental Probability of rolling a 2 =  1/20

Theoretical probability of rolling a 2:

The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:

Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20

Experimental probability of rolling a 2:

The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the  event is rolling a 2, which occurred 200 times out of 4000 rolls.    

Therefore, the experimental probability of rolling a 2 is:

Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20

Comparing theoretical and experimental probability:

If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.

For such more questions on Probability

https://brainly.com/question/251701

#SPJ8

The slope of a line that is perpendicular to a line represented by the equation −3y = 8x + 6 is 3/8.

We know that,

The product of the slopes of two perpendicular lines is -1.

Let the slope of the given line and the line perpendicular to it be m and n respectively.

Hence, we can write,

m*n = -1

Writing the given line in slope-intercept form, we get,

y = (-8/3)x + (-6/3)

y = (-8/3)x - 2

Comparing it with the slope-intercept form, we get

y = mx + c

m = -8/3

Hence,

(-8/3)*n = -1

n = 3/8.

To learn more about slope of a line, here:-

https://brainly.com/question/14511992

#SPJ1