In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°. Find the length of r, to the nearest 10th of an inch.

The graph of a tangent function in the form y = atan(bx − c) + d has a period of pi/|b|. When b = 1/2, the period is pi. This means that the graph will repeat itself every pi units on the x-axis. The correct option is the second graph.

The graph of the tangent function in the first option has a period of 2pi. This is not consistent with the period of a tangent function with b = 1/2.

The graph of the tangent function in the second option has a period of pi. This is consistent with the period of a tangent function with b = 1/2.

The graph of the tangent function in the third option does not have a period of pi. This is not consistent with the period of a tangent function with b = 1/2.

Learn more about graph on

https://brainly.com/question/30162650

#SPJ1

The answer is C i just did the assignment and its correct. also, slide 4 of 11 is B,

slide 5 of 11 is D

slide 6 of 11 is B

slide 7 of 11 is sin, cos, 1, 0, cos

slide 8 of 11 is D

slide 9 of 11 is A

slide 10 of 11 is 0, 1, sin, 3, and 3

slide 11 of 11 is B

HOPE THIS HELPS:))))

The exact value of the given trigonometric function sin(140°)cos(20°) – cos(140°)sin(20°) is -√3/2.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

To find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°), we can use the angle addition formula for sine:

sin(A+B) = sin(A)cos(B) + cos(A)sin(B)

We can use this formula to rewrite the expression as:

sin(140°)cos(20°) – cos(140°)sin(20°) = sin(120°+20°) - sin(120°-20°)

Then, using the angle addition formula for sine, we get:

sin(120°+20°) - sin(120°-20°) = sin(120°)cos(20°) + cos(120°)sin(20°) - sin(120°)cos(20°) + cos(120°)sin(20°)

This simplifies to:

2sin(120°)cos(20°) = 2sin(120°)cos(20°)

The value of sin(120°) is -1/2, and the value of cos(20°) is √3/2, so the final value of the expression is:

2(-1/2)(√3/2) = -√3/2

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ2

Answer:

85.14% of the students have a cell phone.

It will take approximately 220 months (18.33 years) to pay off the mortgage.

Given, A mortgage of $125,600 at a 4.95 percent APR and payment of $1,500 each month. To find out how many months it will take to pay off the mortgage, we need to use the formula for amortization.

Amortization formula: P = (r * A) / [1 - (1+r)^-n] Where P is the Principal amount, A is the periodic payment, r is the interest rate, and n is the total number of payments required.We have, P = $125,600, A = $1,500, and r = 4.95% / 12 = 0.004125 (monthly rate).

Now, let's put the values into the formula and solve for n.

(125600) = [(0.004125) × 1500] / [1 - (1 + 0.004125)^-n](125600) / [(0.004125) × 1500]

= [1 - (1 + 0.004125)^-n]0.20442

= [1 - (1 + 0.004125)^-n]1 - 0.20442

= (1 + 0.004125)^-n0.79558

= (1 + 0.004125)^nln(0.79558) = n * ln(1.004125)ln(0.79558) / ln(1.004125)

= nn = 219.65

Learn more about mortgage

https://brainly.com/question/31751568

#SPJ11

The speed of a train can be calculated by dividing the distance traveled by the amount of time it took to travel that distance. For example, if a train travels 300 miles in 2 hours, the speed of the train is 150 miles per hour.

The speed of a train can be calculated by dividing the distance traveled by the amount of time it took to travel that distance. To calculate the speed of a train, simply take the total distance traveled and divide it by the total amount of time that it took to travel that distance. For example, if a train traveled 300 miles in 2 hours, then the speed of the train would be 150 miles per hour. This equation can be used to calculate the speed of any type of vehicle, including cars, trucks, and planes. By understanding this basic equation, it becomes much easier to accurately calculate the speed of any vehicle.

Learn more about distance here

https://brainly.com/question/28956738

#SPJ4

Answer:17/3 or 5 and 2/3

The probability that 32 randomly selected laptops will have a mean replacement time of 3.1 years or less is 0.0122 or approximately 1.22%. This suggests that it is unlikely that the manager's suppliers have been giving him laptop computers with lower-than-average quality.

To find the probability that 32 randomly selected laptops will have a mean replacement time of 3.1 years or less, we can use the central limit theorem. This theorem states that as sample size increases, the sampling distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution.

First, we need to calculate the standard error of the mean, which is the standard deviation of the sampling distribution. We can use the formula:

standard error = standard deviation / square root of sample size

Substituting the given values, we get:

standard error = 0.5 / sqrt(32) = 0.0884

Next, we need to standardize the sample mean using the formula:

z = (x - mu) / standard error

where x is the sample mean, mu is the population mean (given as 3.3 years), and standard error is the calculated value.

Substituting the given values, we get:

z = (3.1 - 3.3) / 0.0884 = -2.26

Finally, we need to find the probability that a standard normal distribution is less than or equal to -2.26. Using a standard normal table or calculator, we find this probability to be 0.0122 or approximately 1.22%.

Find more about standard normal distribution

brainly.com/question/15245631

#SPJ11

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

0

Step-by-step explanation:

Piecewise functions are like recycling bins. They give you a piece of information for whatever value you may encounter on your graph. So, all you need to do is sort out the value they give you into the correct "bin," so to speak.

The first equation they give you is for any value less than zero. So, anything from -0.9999999 (you get the idea) onwards will use the equation on the right. So, if you have a value less than zero, then you will plug the x-value into the equation (-x - 2). Therefore, let's say your value was f(-1). You'd do: (-(-1) - 2). The negative cancel on your -1 and you're left with 1. Then, 1 - 2 = -1. So, in this example, your answer would be f(-1) = -1.

The second equation gives you a possible range for any numbers between zero and anything less than three. Notice how in this one, the zero is included. This is because when you actually go to draw a piecewise function, your values can't repeat, or else it wouldn't be a function. So, since the problem asks you to find f(0), you need to use the second equation since it is the one that includes zero in its possible values. Thus, you plug in your number. In this case, the number is 0, so x = 0. The answer is to f(0) = 0

Lastly, the third equation is for any values that are three or bigger. This one includes the three in its possible values. If they gave you a value like f(4), you just do the same as in the last examples. 4^2 - 1 = 15. So, f(4) = 15.

And that's all there is to it. Just plug in the value they give you into the appropriate equation, and you'll be good to go. Hope this helped!

The expression that is a

parameterization of the line that passes through the point (2,-3) with a slope of 4 is option D. x= t and y = 4t - 6, for any t

It is a parameterization of the line that passes through the point (2,-3) with a slope of 4, because the point (2,-3) satisfies the equation x = t and y = 4t - 6 and the slope of the line is

A parameterization of a line is a set of equations that describe the location of points on the line in terms of a parameter. One common parameterization of a line is the point-slope form, which expresses the line as y = mx + b, where m is the slope of the line and b is the y-intercept.

Another common parameterization is the two-point form, which expresses the line as (x - x1)/(x2 - x1) = (y - y1)/(y2 - y1), where (x1, y1) and (x2, y2) are two distinct points on the line.

Therefore, the correct answer is as given above

learn more about parameterization: https://brainly.com/question/16246066

#SPJ1

The speed of download of the first movie is 0.0621621621621622 GB/min and the speed of download of the second movie is 0.0527027027027027 GB/min. The second movie downloaded faster.

What is speed?

The speed of an object, which is a scalar quantity in everyday usage and kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time.

It took time to download 2.3 GB's of the first movie is 37 minutes.

It took time to download 3.9 GB's of the first movie is 74 minutes.

Thus the speed of download of the first movie is

GB/ time

= 2.3/37

= 0.0621621621621622 GB/min

Thus the speed of download of the second movie is

GB/ time

= 3.9/74

= 0.0527027027027027 GB/min

The speed of download of the second movie is more than the speed of download of the first movie.

To learn more about download of movie, click on the below link:

https://brainly.com/question/25264064

#SPJ1

Answer:

I think that b or c I believe

Answer:

Step-by-step explanation:

1.-60

2.-7

3.15

Answer:

3*sqrt7 - 3*sqrt3

Step-by-step explanation:

To rationalize, you will want to multiply by the conjugate

After that, the bottom will simplify to 7-3 which is 4 (because (a+b)(a-b) = a^2-b^2)

Simplify.

To find the area of a rectangle, we multiply its length by its width. In this case, the length is given, but the width is missing, represented by the variable x.

The equation to find the area of a rectangle is: Area = Length × Width.

In this case, the length is given and is 18. So the equation becomes: Area = 18 × Width.

To solve for x, we need to isolate it on one side of the equation. Since we want to find an equivalent equation for x, we need to rewrite the equation to solve for x.

To isolate x, we need to divide both sides of the equation by 18. This cancels out the 18 on the right side, leaving us with x on the right side:

Area/18 = Width.

This equation is equivalent to the original equation for x and represents the width of the rectangle.

In summary, an equivalent equation for x in the given problem is: Area/18 = Width.

area of a rectangle and equation : https://brainly.com/question/2607596

#SPJ11

The price of each ticket is $34.83. This equation allows us to solve for the unknown variable and determine the price of each ticket based on the given total revenue and the number of tickets sold.

Let's assume the price of each ticket is represented by the variable "x". Since each ticket costs the same, we can write the equation:

25x = $870.75

In this equation, 25 represents the number of tickets sold and x represents the price of each ticket. By multiplying the number of tickets (25) by the price of each ticket (x), we get the total revenue generated ($870.75).

To find the price of each ticket, we can solve the equation for x. Dividing both sides of the equation by 25, we have:

x = $870.75 / 25

Evaluating the right side of the equation gives us:

x = $34.83

Therefore, the price of each ticket is $34.83. This equation allows us to solve for the unknown variable and determine the price of each ticket based on the given total revenue and the number of tickets sold.

To more on cost:
https://brainly.com/question/25109150
#SPJ8

two lines are perpendicular when their slope is inverted and have the opposite sign

the general form of the equation line is-3,1

where m is the slope

rewrite

so, the slope 3/8

the slope of the other line is

to write the new equation of the line we use the slope and replace the point (-3,1)

now, replace b and the slope to create the line

aₙ = aₙ₋₁ - 9 is the recursive formula of Arithmetic progression.

Arithmetic progression is a sequence of number in order with same difference .

A fixed number is added to any term of a AP to get next term . That Fixed number is known as common difference.

In the question,

16 , 7 , -2 , -11 . . . .

First term of AP : a₁ = 16

Second term : a₂ = 7

Common difference : d = a₂ - a₁

=> d = 7 - 16

=> d = -9

The recursive formula of AP : aₙ = aₙ₋₁ + d

Here d = -9 , substituting d

The recursive formula of given AP : aₙ = aₙ₋₁ - 9

To know more about Arithmetic progression here

https://brainly.com/question/14699973

#SPJ9

Let's use a diagram to represent the question below

using Pythagoras theorem we can find how high up the ladder reaches the wall.

The ladder reaches 24 ft up the wall.

Given\[ f^{\prime}(x)=3 x^{2 / 3}-2 x ;

f(1)=-7 \]

Now integrating both sides of the equation we havef'(x) = (dy/dx)=3x^(2/3)-2x.

Integrating both sides wrt x, we getf(x) = ∫ (3x^(2/3) - 2x) dxThis gives usf(x) = 3∫x^(2/3)dx - 2∫xdx Putting the values, we getf(x) = 3(3/5)x^(5/3) - 2(x^2/2) + CF(x) = 9/5 x^(5/3) - x^2 + CTo find C, we use the given value of f(1) = -7-7 = 9/5 - 1 + C-7 = 4/5 + C⇒ C = -39/5.

Hence, the solution off

(x) = 9/5 x^(5/3) - x^2 - 39/5

Thus,

f(x) = 9/5 x^(5/3) - x^2 - 39/5

is the required particular solution.

To know more about integrating visit :

https://brainly.com/question/30145972

#SPJ11

The solution of the given equation is -6 and 1.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given equation:

  (x+2)(x+3) = 12

 x(x+3)+2(x+3) = 12

 x² + 3x + 2x + 6 = 12

 x² + 5x + 6 - 12 = 0

 x² + 5x - 6 = 0

 x² + 6x - x - 6 = 0

 x(x+6) -1(x+6) = 0

 (x+6)(x-1) = 0

Now, x + 6 = 0      or      x - 1 = 0

        x = -6           or      x = 1

Thus, the solution of the given equation is -6 and 1.

Learn more about Quadratic Equation from:

https://brainly.com/question/17177510

#SPJ1

Answer:

20

Step-by-step explanation:

The water tank in the school hold 20 liters of water

One day it was 34 liters full

14 liters of water was used up

Therefore the quantity of water left can be calculated as follows

= 34-14

= 20

Hence 20 liters of water remains in the tank

Hey there!

5(2x - 1)

DISTRIBUTE 5 WITHIN THE PARENTHESES

= 5(2x) + 5(-1)

= 10x - 5

Therefore, your answer is: 10x - 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

98.19

Step-by-step explanation:

Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h

The volume of remaining solid is 46.44 in³

Volume is the measure of the capacity that an object holds.

For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains. The best way to visualize volume is to think of it in terms of the space.

Here are the steps to calculate volume of any solid shape:

edge= 6

Volume of cube= l³

= 6*6*6

=216 in³

Now, Volume of cylinder

=πr²h

= 3.14 * 3 * 3 * 6

=169.56 in³

Volume of remaining solid= 216- 169.56

=46.44 in³

Learn more about volume here:

https://brainly.com/question/1578538

#SPJ2

Answer:

-17

Step-by-step explanation:

29 + (-46)

=> 29 - 46                        [Since, Positive x Negative = Negative]

=> -17

Answer:

2x + y = -7

Step-by-step explanation:

Standard form is Ax + By = C

A represents the coefficient with x

B represents the coefficient with y

C represents the constants

1 - Rewrite to make it easier to work it out

y - 3 = -2 ( x + 5 )

2 - Distribute

y - 3 = -2x - 10

3 - Get the variables on one side and the constants on the other

y - 3 = -2x - 10

+ 2x  + 2x

2x + y - 3 = -10

         + 3   + 3

2x + y = -7

Hope this helps,

Answer:

c = √500

Step-by-step explanation:

a rectangle has four inner angles equals to 90 degrees

so for find c we can use the Pythagorean theorem because it is an hypotenuse of a right triangle

c^2 = 10^2 + 20^2

c^2 = 100 + 400

c^2 = 500

c = √500

The sum of the areas of the two segments defined by the chords AB and CD in the circle is 18π - 36.

To find the sum of the areas of the two segments defined by the chords AB and CD in a circle, we need to calculate the areas of each segment separately and then add them together.

First, let's determine the radius of the circle. Since we are given the lengths of the chords AB and CD, we can use the following formula:

r = (1/2) * AB * CD / sqrt((AB/2)^2 + r^2)

We know that AB = 8 and CD = 6, so let's substitute those values into the formula: r = (1/2) * 8 * 6 / sqrt((8/2)^2 + r^2)

r = 24 / sqrt(16 + r^2)

To solve this equation for r, we can square both sides:

r^2 = (24 / sqrt(16 + r^2))^2

r^2 = 576 / 16

r = 6

Now that we have the radius of the circle, we can calculate the angles subtended by the arcs AB and CD. We are given that the total scale of the two arcs is 180 degrees, so each arc subtends an angle of 180 degrees / 2 = 90 degrees.

To find the area of each segment, we can use the formula:

Segment Area = (θ/360) * π * r^2 - (1/2) * r^2 * sin(θ)

For the segment defined by the chord AB: θ = 90 degrees

Segment Area_AB = (90/360) * π * (6^2) - (1/2) * (6^2) * sin(90)

Segment Area_AB = 9π - 18

For the segment defined by the chord CD: θ = 90 degrees

Segment Area_CD = (90/360) * π * (6^2) - (1/2) * (6^2) * sin(90)

Segment Area_CD = 9π - 18

Now we can find the sum of the areas of the two segments:

Sum of Segments Area = Segment Area_AB + Segment Area_CD

Sum of Segments Area = (9π - 18) + (9π - 18)

Sum of Segments Area = 18π - 36. Therefore, the sum of the areas of the two segments is 18π - 36.

Learn more about segment here:

https://brainly.com/question/30283684

#SPJ11

Answer: The correct answer to this problem would be C, or 32/3.

Step-by-step explanation:

The average rate of change in a function is the rate at which one value changes with respect to another value.

Given function: f(x) = 2x² + x + 5 on interval [-2, 2]

Therefore,

Average rate of change = f(2)-f(-2)/2-(-2)

f(2) = 2(2)² + 2 + 5

f(2) = 15

f(-2) = 2(-2)² - 2 + 5

f(2) = 11

Substitute the values,

Average rate = 5-11/2+2

Average rate = 4/4

Average rate = 1

So, the average rate of change is

Leading me to believe option C is correct.