use identities to find values of the sine and cosine functions of the function for the angle measure. 2x, given tanx=−2 and cosx>0

About the given graph:

a) The slope is zero.

b) The slope is zero.

c) y = 4

d) y = -3

a) If you look at the graph, you can see that in that interval we have a horizontal line, thus the slope there is zero.

b) Exactly the same as the case before, we have a horizontal line, thus the slope here is zero.

c)On the graph,  the greatest value of y is the one that is higher, so it is y = 4.

d) Similarly, the smallest value of y is the graphed value that is at the bottom, which is y = -3.

If you want to learn more about graphs:

https://brainly.com/question/4025726

#SPJ1

Answer say your busy

Step-by-step explanation:

or just let it go to voicemail

Don't brush them off right off the bat. If they have time to rant about only their problems then you should be able to voice your complaints too. I'm not saying to turn the conversation into an argument but try to find a common ground and come to an agreement. Maybe they feel safe leaving their thoughts with you are just like rambling. Well whatever the reason you should also get the same respect you give of listening to your friends problems. All friendships are different but I hope I helped in the slightest.

To find the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing with 50 people, follow these steps:

1. Since winning more than one prize is allowed, the probability of Bo winning the first prize is 1/50.

2. Likewise, the probability of Colleen winning the second prize is also 1/50.

3. Similarly, the probability of Jeff winning the third prize is 1/50.

4. Finally, the probability of Rohini winning the fourth prize is 1/50.

5. Since these events are independent, we can multiply the probabilities together to find the overall probability of this specific  :

  Probability = (1/50) * (1/50) * (1/50) * (1/50)

6. Calculate the result:

  Probability ≈ 0.00000016

7. Round the answer to two decimal places:

  Probability ≈ 0.00

So, the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing with 50 people is approximately 0.00.

To learn more about Decimal - brainly.com/question/30958821

#SPJ11

Answer:

$8,580,000 (rounded) = $9,000,000

Step-by-step explanation:

Keep in mind, 2007 is four years after 2003.

So, 8(%) • 4 = 32(%)

Over the course of 4 years, the companies profits increased by a total of 32 percent.

(*Write 6.5m in standard form)

6,500,000 + 32% = $8,580,000

8,580,000 (rounded up) = 9,000,000

If boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water, the distance from point A to point B is approximately 226.6 feet.

To find the distance from point A to point B, we can use the tangent function. Let x be the distance between point A and the lighthouse, and let y be the distance between point B and the lighthouse. We can then set up two equations based on the angles of elevation:

tan(13°) = 142/x

tan(20°) = 142/y

Solving for x and y, we get:

x = 142/tan(13°) ≈ 627.8 feet

y = 142/tan(20°) ≈ 401.2 feet

The distance between point A and point B is the difference between x and y:

x - y ≈ 226.6 feet

To learn more about distance click on,

https://brainly.com/question/29198112

#SPJ1

Complete question is:

A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point A, the boat’s crew measures the angle of elevation to the beacon, 13 degree, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 20 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

Answer:

x = 2

Step-by-step explanation:

4x + 3 = 11

(4x + 3) - 3 = 11 - 3

4x = 8

4x/4 = 8/4

x = 2

As you can see, to isolate x, we must do the opposite operations to both sides.

The function used to represents the time spend by Jasmine in biking for a distance of d miles is given by f(d) = d / 18.

The time Jasmine spends biking is indeed a function of the distance she bikes.

The formula to calculate the time Jasmine takes to bike a certain distance is equal to,

time = distance / speed __(1)

Here the speed is the rate at which Jasmine bikes = 18 miles per hour.

Let us consider 'd' be the distance representing the number of miles Jasmine bikes.

This implies,

The function that represents the time Jasmine spends biking in terms of the distance .

Function f(d)  representing the time Jasmine spends biking for a distance of d miles

Substitute all the values in the formula (1) we get,

⇒ f(d) = d / 18

Therefore, the function representing the time spend by Jasmine for distance d is equal to f(d) = d / 18.

learn more about distance here

brainly.com/question/13832664

#SPJ4

The above question is incomplete , the complete question is:

The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate.

Write the function representing the time Jasmine spends biking in terms of the distance?

Answer

Option A is correct.

B' (15, 6) is the answer.

Explanation

To dilate a given coordinate (x, y) about the origin by a scale factor of n, we will obtain (nx, ny).

So, for the given coordinate (5, 2), dilating by the scale factor of 3, we will obtain

B (5, 2) = B' (5×3, 2×3) = B' (15, 6)

Hope this Helps!!!

The correct graph for each of the equations are respectively;

5) Graph C

6) Graph A

7) Graph B

The general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

5) We are given the linear equation as;

-9x + 3y = 0

3y = 9x + 0

y = 3x + 0

The slope is 3 and y-intercept is zero. Thus, the correct graph for this function is; Graph C

6) We are given the linear equation as;

4x - 6y = 12

Rearranging we have;

6y = 4x - 12

y = ⁴/₆x - 2

y = ²/₃x - 2

Thus, slope is 2/3 and y-intercept is -2. The correct graph is graph A

7) The correct graph of the function 25x - 10y = -50 is the graph B.

Read more about Linear Equation Graphs at; https://brainly.com/question/4074386

#SPJ1

The perimeter and area of the original are 20 ft and 23.5 square ft and the enlarged figure are50 ft and 146.875 square ft.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of a triangle and a square.

The area of the original (A₀) figure will be

\(\rm A_o = \dfrac{1}{2} \times 3 \times 5 + 4 \times 4\\\\A_o = 23.5 \ ft^2\)

The perimeter of the original figure (P₀) will be

\(\rm P_o = 3 + 5 + 4 + 4 + 4\\\\P_o = 20 \ ft\)

The scale factor is 2.5.

Then the dimension of the triangle will be

h = 2.5 × 3 = 7.5 ft

b = 2.5 × 5 = 12.5 ft

Then the dimension of the square will be

a = 2.5 × 4

a = 10 ft

The area of the new figure will be

\(\rm A = \dfrac{1}{2} \times 7.5\times 12.5 + 10*10\\\\ A = 146.875 \ ft^2\)

The perimeter of the new figure will be

\(\rm P= 7.5 + 12.5 + 10+ 10+ 10\\\\P = 50 \ ft\)

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ1

Answer:

To find the perimeter of an enlarged figure, you can multiply the original figure’s perimeter by the scale factor. You could also multiply each dimension of the original figure by the scale factor to find the dimensions of the enlarged figure, and then add to find the perimeter.

True. Role perception refers to an individual's perception of what their role or position entails and how they are expected to behave in a particular situation.

It is shaped by various factors such as the individual's personal values, beliefs, experiences, and cultural background, as well as the expectations and norms of the organization or group they belong to.

Role perception can influence an individual's behavior, performance, and job satisfaction, as it guides them on how to act and what to expect from others in their role. However, role perception may not always be accurate or aligned with the actual expectations of the role, which can lead to misunderstandings and conflicts.

To learn more about perception : brainly.com/question/27164706

#SPJ11

Answer:

y = (x-15)/-8

Step-by-step explanation:

When solving for an inverse function, swap x and y without bringing the x coefficient with it, just simply swap the variables. Then, solve for y, and that's it.

y = -8x + 15

x = -8y + 15

x-15 = -8y

(x-15)/-8 = y

Step-by-step explanation:

Hey there!

Given function is: y = -8x + 15

~ Interchange"X" and "y".

x = -8y + 15

~ Solve it

8y = 15-x

y = (15-x)/8

Therefore, the inverse of function is y = (15-x)/8.

Hope it helps!

Answer:

Follow the procedures which it is in the attachment and you will get (6/2)

Answer:

y = - 9x + 14

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 )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )

m = \(\frac{-31-50}{5-(-4)}\) = \(\frac{-81}{5+4}\) = \(\frac{-81}{9}\) = - 9 , then

y = - 9x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, - 31 )

- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )

14 = c

y = - 9x + 14 ← equation of line

The sum of all the angles that are labeled in the given vertex is 294°

In a single vertex, the three angles around the vertex are given as 55°, 64°, and 175°

We have to find the sum of all the angles that are labeled in the given single vertex.

A vertex is a point two or more lines meets.

It is the corner of a geometrical shape.

Example:

A square has 4 corners so it has 4 vertexes.

A cube has 8 corners so it has 8 vertexes.

We will add all the different angles in the single vertex as shown in the figure below.

Let,

Angle A = 55°

Angle B = 64°

Angle C = 175°

The sum of all the angles that are labeled is:

= Angle A + Angle B + Angle C

= 55° + 64° + 175°

= 294°

The sum of all the angles that are labeled in the given vertex is 294°

Learn more about the vertex here:

https://brainly.com/question/12563262

#SPJ1

Three consecutive even integers can be written with difference of two.

The even integers are defined as the numbers that are completely divisible by two. The complete division means that the result of division will be zero. The even integers are always present after a gap of one number in between.

This means that there is a difference of two numbers between integers. Firstly of all, the first even number is two. Following it four. There is a gap of number that is three. Hence, to find the consecutive even integers, add number two to the number.

Learn more about even integers -

https://brainly.com/question/28185835

#SPJ4

goal:tan^5x=tanx(sec²x-2sec²x+1)

proof: from l.h.s to r.h.s

tan^5x=(tanx)^5=((tanx)(tan²x)(tan²x))

from trigonometry identity

(tan²x)=sec²x-1

tan^5x=(tanx(sec²x-1)(sec²x-1))

=(tanx(sec^4x-sec²x-sec²x+1))

=(tanx(sec^4x-2sec²x+1))

proved

Answer:

1/2n + 3

One half times a number

Step-by-step explanation:

Answer:

$4.48

Step-by-step explanation:

First, you have to convert the percentage into a decimal.

12% x 100 = 0.12

Second, you multiply the decimal with the cost of the product before tax.

$4 x 0.12 = $0.48

This number is the amount of money you will have to pay in tax.

Third, you add the tax amount to the original cost of the product to get the total price.

$4 + $0.48 = $4.48

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Answer:

The correct coordinate transformation would be

A. (x+2, y+2)

Hope this helps!!

Part (c) is the correct option i.e. The total dealer's cost is $16588.36.

What is Percentage ?

Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given, Cost paid for car's options = 82 % $3,098 = $2540.36

           Cost paid for base price = 85 % $15,480 = $13158.

           Destination charge = $890

∴ The total dealer's cost will be :

 = Cost paid for car's options +  Cost paid for base price +  Destination charge

=  $2540.36 + $13158 + $890

= $16588.36.

To learn more about Percentage, visit the link given below:

https://brainly.com/question/24877689

#SPJ1

The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

Learn more about polygons at: https://brainly.com/question/1592456

#SPJ1

Answer:

Step-by-step explanation:

I have the same question :(((

sry

The area of the figure having two semicircles and a parallelogram is equal to 173.01 square inches. The correct option is A.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.

Given that the radius of the semicircle is 6 inches and the height of the parallelogram is 5 inches.

Calculate the area of two semicircles,

Area = π / 2r² +  π / 2r²

Area = πr²

Area = ( π x 6² )

Area = 113.09 square inches

Calculate the area of a parallelogram,

Area = B x H

Area = 12 x 5

Area = 60 square inches

The total area of the figure,

Total area = 113.09 + 60

Total area = 173.01 square inches

To know more about an area follow

https://brainly.com/question/15257077

#SPJ1

The distance that measures 7 units is the distance between points L and N.

From the given options, we need to identify the distance that measures 7 units. To determine this, we can compare the distances between points L and M, L and N, M and N, and M on the number line.

Looking at the number line, we can see that the distance between -1 and -8 is 7 units. Therefore, the distance between points L and N measures 7 units.

The other options do not have a distance of 7 units. The distance between points L and M measures 7 units, the distance between points M and N measures 6 units, and the distance between points M and * is 1 unit.

Hence, the correct answer is the distance between points L and N, which measures 7 units.

For more such answers on distance

https://brainly.com/question/30395212

#SPJ8

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

Learn more about domain and range at https://brainly.com/question/26098895

#SPJ1

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.