find an obtuse angle, θ, such that 0 ≤ θ ≤ 2π and has the same sine as -275°
please explain

Answers

Answer 1

The obtuse angle θ which has the same value of sin(-275) is 95°, which is in the second quadrant.

What are the different quadrants of trigonometric identities?

The first quadrant has angles between 0 and 90 degrees. The second quadrant has angles between 90 and 180 degrees. The third quadrant contains angles between 180 and 270 degrees. The fourth quadrant contains angles between 270 and 360 degrees. All six trigonometric functions have positive values in the first quadrant.  The only positive values in the second quadrant are sine and cosecant. The only positive values are tangents and cotangents in the third quadrant. The only positive values in the fourth quadrant are cosine and secant.

We are asked to find an obtuse angle θ such that 0 ≤ θ ≤ 2π and has the same sine as -275°.

The value of sin(-275°) = 0.996

Since the value of sin(-275°) is positive, the angle θ should be in the first or second quadrant, because the sine of angles in the first and second quadrants is positive.

But the θ should be an obtuse angle.

So θ should be in the second quadrant.

sin(-275) = sin(360-275) = sin 85° = 0.996

sin(180 - 85) = sin(95)  = 0.996

Therefore the obtuse angle θ which has the same value of sin(-275) is 95°, which is in the second quadrant.

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Related Questions

Consider the information given in Example 3. Describe and correct the error in predicting the number (n) of students in the school who watch zero movies each week.

Answers

Answer:its hard to say

b) A plank of wood 3.5 m long is cut into 5 pieces of equal length. How long, in m, is each piece?​

Answers

Answer:

70 cm or 0.7 m

Step-by-step explanation:

3.5 x 100 = 350

350 / 5 = 70

which of these shapes is a right isosceles triangle?

Answers

A right isosceles triangle is a triangle with a right angle (90 degrees) and two sides that are equal in length. This means that the triangle is also a special case of an isosceles triangle where the two equal sides are adjacent to the right angle.

To identify a right isosceles triangle among a group of shapes, you should look for the shape that has a right angle and two sides of equal length. One way to check for the right angle is to look for a corner that forms a square angle (i.e., 90 degrees), and one way to check for the equal sides is to compare the length of each side.

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The following question may be like this:

What is a right isosceles triangle?

What is the value of f(x)=23.2x+2.5 at x =-4.2

Answers

Answer:

-94.94

Step-by-step explanation:

f(x)=23.2x+2.5

Let x = -4.2

f(4)=23.2(-4.2)+2.5

    =-97.44+2.5

    =-94.94

Answer:

Since x = -4.2, just fill it in the equation and solve:

23.2 * -4.2 + 2.5 =

23.2 * -4.2 = -97.44

-97.44 + 2.5 = -94.94

f(x) = -94.94

Step-by-step explanation:

Hope it helps! =D

Hope it ain't wrong either. If so, I'm sorry.

Find the area of the figure. Use 3.14 for pie​

Answers

The area of the figure is 254.8 m²

What is area?

Area is the region occupied by an object.

How to find the area of the figure?

Since the figure is a rectangle and containing two semi-circles, we find the area of the figure by finding the area of the rectangle and the two semi-circles.

What is the area of the rectangle?

The area of the rectangle is given by A = LW where

L = length of rectangle and W = width of rectangle

Given that

L = 16 m and W = 12 m

A = LW

= 16 m × 12 m

= 192 m²

What is the area of a semi-circle?

The area of a semi-circle with diameter d is A = πd²/4

Now for the first semi-circle, its diameter d' = 8 m.

So, its area A' =  πd'²/4

=  π(8 m)²/4

= π64 m²/4

= 16π m²

= 16 ×3.14 m²

= 50.24 m²

Also, for the fsecond semi-circle, its diameter d" = 4 m.

So, its area A' =  πd'²/4

=  π(4 m)²/4

= π16 m²/4

= 4π m²

= 4 × 3.14 m²

= 12.56 m²

So, the area of the figure is A₁ = A + A' + A"

= 192 m² + 50.24 m² + 12.56 m²

= 254.8 m²

So, the area of the figure is 254.8 m²

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what are parameters? group of answer choices parameters are measured constructs that vary across entities in the sample. parameters summarize data or relationships in the population and are usually estimated from a sample a parameter tells us about how well the mean represents the sample data. all of the options describe parameters.

Answers

The option is: Parameters summarize data or relationships in the population and are usually estimated from a sample.

Parameters are numerical values that describe a population, and they are usually estimated from a sample. Parameters summarize important characteristics of the population, such as the mean, variance, or correlation between variables. These characteristics may vary across different entities in the population, such as individuals, households, or businesses.

In statistical analysis, parameters are important because they allow us to draw inferences about the population from a sample. By estimating parameters from a sample, we can make generalizations about the population and test hypotheses about relationships between variables.

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A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. ****If you are stuck, think about how many cubes with 1/2 cm edge lengths fit into 1 cubic centimeter*** Calculate the number of cubes with edge length 1/2 cm that fit in this prism. Cubes What is the volume of the prism in centimeters cubed? centimeters cubed

Answers

Number of cubes with edge length 1/2cm that fit in the prism is 11160 and the volume of the prism is 1395 cubic centimeter

Dimensions of the rectangular prism = [tex]7\frac{1}{2}[/tex] cm × 12 cm × [tex]15\frac{1}{2}[/tex] cm

Convert the mixed fraction to the simple fraction

The dimensions of the rectangular prism = 15/2 cm × 12 cm × 31/2 cm

The volume of the rectangular prism = w × l × h

Where

w is the width

l is the length

h is the height

The volume of the rectangular prim = 15/2 × 12 × 31/2

= 1395 cubic centimeter

The side off the cube = 1/2 cm

Volume of the cube = a^3

= (1/2)^3

= 0.125 cubic centimeter

Number of cubes will fit in rectangular prism = Volume of rectangular prism /  Volume of the cube

= 1395 / 0.125

Divide the terms

= 11160 cubes

Therefore, 11160 cubes will fit in the rectangular prism and the volume of the prism is 1395 cubic centimeter

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13 25 4 8 17 21 A number is to be written on the blank card. The mode and median of all seven numbers are both the same. Find one possible number that can be written on the blank card.​

Answers

Answer:

13 or 17

-------------------

Given numbers:

13, 25, 4, 8, 17, 21

Put them in the ascending order:

4, 8, 13, 17, 21, 25

Let the possible number to be added be x.

Since x is the median, it should be between 13 and 17:

4, 8, 13, x, 17, 21, 25

Also x is the mode. As we see all 6 number are unique, x should be repeat of 13 or 17 in order to be a mode. Therefore the possible number that can be written on the blank card is either 13 or 17.

Solve for r in terms of q, s, and t.
s = -tqr
r=

Answers

Answer:

I didn't understand the question 100% but I think the question is asking you to give an equation from the given one

so the answer will be

-s divided over tq

two messenger services deliver to a small town. service a has 75% of all the scheduled deliveries, and service b has the remaining 25%. their on-time rates are 80% and 60% respectively. calculate the probability that a package is delivered on time.

Answers

Service a has 75% of all the scheduled deliveries, and service b has the remaining 25%, their on-time rates are 80% and 60% respectively, the probability that a package is delivered on time is 0.75 or 75%.

To calculate the probability that a package is delivered on time, we need to use the law of total probability and the probabilities of on-time delivery for each messenger service.

Let A denote the event that a package is delivered by Service A, and B denote the event that a package is delivered by Service B. Then, we have:

P(on-time delivery) = P(on-time delivery | A) * P(A) + P(on-time delivery | B) * P(B)

where P(on-time delivery | A) is the probability that a package is delivered on time given that it was sent through Service A, and P(A) is the probability that a package is sent through Service A.

Similarly, P(on-time delivery | B) is the probability that a package is delivered on time given that it was sent through Service B, and P(B) is the probability that a package is sent through Service B.

From the information given in the question, we know that P(A) = 0.75, P(B) = 0.25, P(on-time delivery | A) = 0.8, and P(on-time delivery | B) = 0.6. Substituting these values into the above formula, we get:

P(on-time delivery) = 0.8 * 0.75 + 0.6 * 0.25

= 0.6 + 0.15

= 0.75

Intuitively, this result makes sense because Service A, which has a higher on-time rate and delivers 75% of the packages, dominates the total probability of on-time delivery. However, the contribution of Service B cannot be ignored completely and reduces the overall on-time rate slightly.

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A container of laundry detergent holds 100 fluid ounces. You use 9 fluid ounces each week. The table shows the amount of laundry detergent that remains after a certain number of weeks. Complete the table Number of Weeks Fluid Ounces Remaining in the Container​

Answers

The number of fluids remaining after x weeks is given by the following equation:

y = 100 - 9x.

Hence the number of fluids remaining after week x is found replacing x by the week at the above equation.

How to define the linear function?


The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The slope m represents the rate of change.The intercept b represents the value of y when x = 0.

For this problem, the parameters are given as follows:

b = 100, which is the capacity of the container.m = -9, as each week, the number of fluid ounces in the container is decreased by 9.

Hence the function is given as follows:

y = 100 - 9x.

Missing Information

The problem is incomplete, hence the function used to obtain the amounts is presented.

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question 12
help me asap

Answers

Answer:

ED = 4 cm

Step-by-step explanation:

given 2 secants from an external point to the circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and that entire secant, that is

CD × CE = CB × CA

8(8 + x) = 6(6 + 10) = 6 × 16 = 96 ( divide both sides by 8 )

8 + x = 12 ( subtract 8 from both sides )

x = ED = 4 cm

sin 20° = ?

tan 20⁰
sin 70⁰
cos 20⁰
cos 70⁰

Answers

The sin 20° can be expressed as D. cos 70⁰

How can the angle be determined?

We will need to find the value of given angles one after the other . for instance By creating an angle of 70 degrees with the x-axis and then determining the coordinates of the point (0.342, 0.9397) on the unit circle, it is possible to determine the value of sin 70 degrees. The y-coordinate is equal to the value of sin 70°. (0.9397). ∴ sin 70° = 0.9397.

The given angle is

Sin 20° = 0.342

option A;

tan 20⁰ =0.364

Option B:

sin 70⁰ =  0.9397

Option C :

cos 20° = 0.9397.

Option D :

cos 70 degrees = 0.342

Therefore, option D is correct.

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it would be 180 - 136 right?

Answers

Answer:

It would be 180 - 136 = 44

Step-by-step explanation:

Answer:

yes you are correct

Step-by-step explanation:

180-136=44

A cylindrical measuring jug has a total volume of 500 ml and its radius is 3 cm. There are markings on the jug to show every 100 ml. What is the distance, in cm, between each of these markings?

Answers

Answer:

The volume of a cylinder can be calculated using the formula:

V = πr^2h

Where r is the radius and h is the height. In this case, the volume is 500 ml, or 0.5 liters. To convert liters to cm, we can use the conversion factor 1 liter = 10 cm^3. Therefore, the height of the jug can be calculated as follows:

0.5 liters = 0.5 x 10 cm^3 = 500 cm^3

V = πr^2h

500 = π x (3 cm)^2 x h

h = 500 / (π x (3 cm)^2)

Approximating π as 3.14, we get:

h = 500 / (3.14 x (3 cm)^2)

h = 500 / (3.14 x 9 cm^2)

h = 500 / 28.26 cm^2

h = 17.67 cm

So the height of the cylindrical measuring jug is approximately 17.67 cm. Therefore, the distance between each marking, which represents 100 ml of volume, is 17.67 cm / 5 = 3.534 cm.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

To determine the distance between each of the markings, we need to determine the height of the jug for each 100 ml increment.

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. We know the volume of the jug is 500 ml, or 0.5 liters, and the radius is 3 cm, so we can solve for the height:

0.5 liters = π * (3 cm)^2 * h

h = 0.5 liters / π * (3 cm)^2

h = 0.5 liters / 9π cm^2

Now that we have the height of the jug per 100 ml, we can divide it by 5 to determine the height between each marking:

Marking height = h / 5

= 0.5 liters / 9π cm^2 / 5

= 0.1 liters / 9π cm^2

So the distance between each of the markings is the height of the jug for each 100 ml increment divided by 5.

Write the quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102).

Answers

The quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102) is f(x) = x²-3x-54

What is a quadratic function?

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

Given that, the quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102).

We know that, the standard form of the quadratic equation is given by,

x²-(α+β)x+αβ=0, where α and β are roots of the equation,

Therefore,

x²-(9-6)x+9(-6) = 0

x²-3x-54 = 0

Hence, the quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102) is f(x) = x²-3x-54

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suppose that the proportions of blood phenotypes in a particular population are as follows: a b ab o 0.42 0.14 0.05 0.39 assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are o? (enter your answer to four decimal places.)

Answers

The probability that both phenotypes are o is 0.1600

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.

In a probability notation, events  and  are independent if  (  ∣  ) =  (  ) . Events  and  are independent if and only if  (  ∩  ) =  (  ) ×  (  ) . If  and  are dependent events, then  (  ∩  ) =  (  ∣  ) ×  (  ) .

the proportions of blood phenotypes in a particular population are as follows: a b ab o 0.42 0.14 0.05 0.39  so for o the value is 0.40 so we put it and slolve .

The samples are independents, so:

P(O1∩O2) = P(O1).P(O2) = 0.40*0.40=0.1600

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Given the point (−,), write the coordinates of a point that is related by a reflection over the -axis. Write your answer with a comma and no spaces. Example 7,2 or -7,-2

Answers

When a point (x, y) is reflected across x-axis then (x, -y) will be the new point and  reflected across y-axis then (-x, y) be the point.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph

Reflection is a process of transformation.

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.

Let the coordinates of a point be (4, 3).

When the coordinates of a point that is related by a reflection over the x-axis, then the new coordinate will be (4,-3).

(x, y)---->(x, -y)

The reflection of point (x, y) across the y-axis is (-x, y).

(x, y)---->(-x, y)

(4,3)  reflection across the y-axis is (-4, 3).

Hence, the reflection of point (x, y) across the y-axis is (-x, y) and  reflection of point (x, y) across the x-axis is (x, -y).

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find the quadratic equation whose roots are 5 and -9​

Answers

The equation of the quadratic equation whose root are 5 and -9 is x² +4x -45

What is quadratic equation?

quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The equation of a quadratic is given as :

x²-(alpha+beta)x + alpha×beta = 0

where alpha and beta are the roots of the quadratic equation.

alpha+beta = 5-9 = -4

alpha × beta = -9× 5 = -45

therefore the equation will be;

x²-(-4)x + ( -45) = 0

x² + 4x -45 = 0

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here is a shape. find the total area of the shape

Answers

Answer:

Area A, is x times y

Step-by-step explanation:

To find the area you must multiply the light x width of a rectangle or square

um.... kauser is this u

**EASY POINTS** There is a circular running path in the park. The diameter of the circle is 350 m. What is the length of one lap around the park?

Answers

Answer:

1099

Step-by-step explanation:

350*pi=1099

After allowing 10% discount on the marked price of a radio, 13% VAT was levied and sold it. If the difference between selling price with VAT and selling price after discount is Rs 1170, find the marked price of that radio

Answers

The marked price of the radio is Rs 10000.

How to find the marked price of that radio

From the question, we have the following parameters that can be used in our computation:

Discount = 10%

VAT = 13%

VAT - Selling price = 1170

Represent the price of the radio with x

Using the above as a guide, we have the following:

Discount = 10% implies 0.9x

VAT = 13% implies 0.9x * 1.13 = 1.017x

So, the difference is

1.017x - 0.9x = 1170

This gives

0.117x = 1170

Divide

x = 10000

Hence, the price of the radio is Rs 10000.

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? a retailer entered into an exclusive agreement with a supplier who guaranteed to provide all products at competitive prices. the retailer eventually began to purchase supplies from other vendors who offered better prices. the original supplier filed a lawsuit claiming violation of the agreement. in defense, the retailer had an audit performed on a random sample of 25 invoices. for each audited invoice, all purchases made from other suppliers were examined and compared with those offered by the original supplier. the percent of purchases on each invoice for which an alternative supplier offered a lower price than the original supplier was recorded.26 for example, a data value of 38 means that the price would be lower with a different supplier for 38% of the items on the invoice. a histogram and some computer output for these data are shown below. explain why we should not carry out a one-sample t test in this setting

Answers

A one-sample t-test should not be carried out in this setting because the data is in the form of a frequency distribution and is not continuous, and the distribution is not normal.

In statistics, a one-sample t-test is used to determine whether a sample mean is significantly different from a known population mean. However, in this scenario, the data collected and analyzed is in the form of a frequency distribution, where the percent of purchases for which an alternative supplier offered a lower price was recorded.

A frequency distribution shows the number of times a particular value or range of values occurs in a dataset. In this case, the frequency distribution shows the number of invoices that had a certain percentage of purchases for which an alternative supplier offered a lower price. This type of data is not suitable for a one-sample t-test because a t-test requires continuous data, which is not the case here.

Furthermore, a one-sample t-test assumes that the data is normally distributed. A histogram of the data in this scenario shows that the distribution is not symmetrical and does not resemble a normal distribution. Therefore, carrying out a t-test would not be appropriate.

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Calculate the area of a parallelogram which sides are 8cm 13cm and11cm

Answers

Answer:

the answer will be based on which is the base and height, the area of a parallelogram is base×height(bh) so, all you have to do is multiply the base with the height. For example if the base is 7cm, height is 12cm, and the other side is 3cm. The area of the parallelogram from the question will be 84cm²

each apple tree produces 48,5 kg apples the apples have an average mass of 165g each
calculate the total number of apples produced by the 200 trees
Give your answer correct to the nearest 1000 apples

Answers

5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.

Let's assume that, we are planting x apple trees extra per acre. So, net 10x apple will be less.

Let say, total number of apples = y

Then, y = (30+x)×(400–10x)

For, optimum number of trees, let's do the differentiation of the above equation with respect to x.

d(y)/d(x) = (400–10x)×1 + (30+x)×(-10)

= 400–10x-300–10x

= 100–20x …………..(1)

For mimima or maxima, the above equation must be equal to 0.

So, 0 = 100–20x

=> x=5

Let's do the second differentiation of equation (1) and substitute the the value of x I.e x=5

[tex]d^2(y)/d(x^2) = -20[/tex]

The above equation is negative for all values of x which indicates that at x=5 we will have the maximum value.

So, the number of trees for maximum apple will be (30+x)

So, 30+5 = 35 trees per acre will give the largest crop of apple.

Hence 5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.

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Which of the following titles is most likely a compare-and-contrast essay?
A. Living on the West Coast and Why I Like It
B. East Meets West: Natives’ Perspectives
C. Traveling on the West Coast
D. Problems with Living on the East Coast

Answers

B. East Meets West: Natives’ Perspectives is most likely a compare-and-contrast essay because it is directly comparing the perspectives of people from the East and West coasts. The other titles are more descriptive or subjective in nature, rather than focused on comparing and contrasting two different things.

East Meets West: Natives’ Perspectives

Notice how it already compares two things in the title, East and West

6. Ming uses 3/ 4 cup of peanuts and 1/ 4 cup of raisins to make a snack. Which statement correctly compares the fractions?
*
10 points
A. 3/4 = 1/4
B. 1/4 > 3/4
C 3/4 < 1/4
3/4 > 1/4

Answers

Answer:

3/4 > 1/4

Step-by-step explanation:

3/4 is 75%, and 1/4 is 25 percent. 3/4 is greater than 1/4!

A rectangle's length is 12 meters more than 5 times the width. The area is 32 square meters. What is the width?

Answers

Let's call the width of the rectangle "w".

According to the problem, the length of the rectangle is 12 meters more than 5 times the width, so we can write that as:

L = 5w + 12

And the area is given as 32 square meters, so we can write that as:

A = L * w = 32

Now we have two equations:

5w + 12 = L

L * w = 32

We can use the first equation to substitute the value of L in the second equation:

L = 5w + 12

32 = (5w + 12) * w = 5w^2 + 12w

Expanding the right side of the equation, we get:

32 = 5w^2 + 12w

Now we have a quadratic equation that we can solve for w. To do this, we can use the quadratic formula:

w = (-b ± √(b^2 - 4ac)) / 2a

where a = 5, b = 12, and c = -32. Plugging in these values, we get:

w = (-12 ± √(12^2 - 4 * 5 * -32)) / (2 * 5)

w = (-12 ± √(144 + 640)) / 10

w = (-12 ± √(784)) / 10

w = (-12 ± 28) / 10

w = (16 / 10) or ( -40 / 10)

w = 1.6 or -4

Since the width cannot be negative, the width must be 1.6 meters.

Two joggers run 8 miles and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile they must travel to return to their starting position?

Answers

Answer:

A.  9.4 mi

Step-by-step explanation:

Sketch a right triangle with legs of 8 and 5.  Shortest distance back to the starting point is the hypotenuse (h) of the triangle:

h² = 8² + 5² = 89

h = √89 = 9.43 mi

Arithmetic sequences calculator
This online tool can help you find n^th term and the sum of the first n terms of an arithmetic progression. Also, this calculator can be used to solve much more complicated problems. For example, the calculator can find the common difference (d) if a5=19 and s7=105. The biggest advantage of this calculator is that it will generate all the work with detailed explanation

Answers

An arithmetic sequence calculator is a tool or program that can be used to find the terms of an arithmetic sequence, given the first term and the common difference. The "nth term" of an arithmetic sequence refers to the term in the sequence that is in the nth position.

An arithmetic sequence calculator is a tool or program that can be used to find the terms of an arithmetic sequence, given the first term and the common difference. The common difference is the value that is added to each term in the sequence to obtain the next term. Given these two values, the calculator can generate the entire sequence of terms. Some calculators may also be able to find the first term and common difference from a given set of terms, as well as other properties of an arithmetic sequence, such as the sum of the terms, the nth term, etc. The "nth term" of an arithmetic sequence refers to the term in the sequence that is in the nth position. In other words, it is the term that corresponds to the number n in the sequence. The nth term can be calculated using the formula for the nth term of an arithmetic sequence, which is given by: a_n = a_1 + (n-1)d. where a_1 is the first term of the sequence, d is the common difference, and n is the position of the term that we want to find. For example, if the first term of an arithmetic sequence is 3, and the common difference is 2, then the nth term can be found by plugging in the values of a_1, d, and n into the formula.

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Complete Question

What is Arithmetic sequences calculator and what is nth term?

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What does this symbol represent in terms of life cycles, and why is it drawn this way?a. Sporophyte: It is a simple way of drawing the many spores within the sporophyteb. Multicellular organism: It is a simple way of drawing many cells to represent a multicellular life stage.c. Spore: It is drawn this way to distinguish it from gametes, which are also single-celled. d. Cell with cytoskeleton: It is drawn to show microtubules.e.Nucleus with chromosomes: It is drawn to show two sets of chromosomes, making it diploid. I dont know how to solve 20x-25x+4x-5 Balancing a centrifuge requires that all tubes in the load:A. have an equal amount of liquid of the same viscosity.B. are of equal size and shape.C. have a partner directly across in the rotor holder.D. All of the above Select all of the characteristics of melody that are typical in baroque music.A) The melody creates a feeling of continuityB) The melody is balanced and symmetricalC) The melody has a constant character, even with varied formD) The opening melody is heard again and again what is the least number that can be made using each digit exactly once? explain why the value of the 4 is greater than the value of the 6 Which of the following are true about syphilis in the U.S.?a. Recent syphilis outbreaks have occurred in MSM subpopulations. b. P&S syphilis rates reached an all-time low in 2000. c. P&S syphilis is widespread throughout the United States. d. Syphilis disproportionately affects African Americans. e. All of the above are true. three different genotypes of garter snakes (a, b, and c) were reared at different temperatures. four individuals were in each trial. the table presents their weights (in grams). based on these data, which genotype appears to show phenotypic plasticity? One of the biggest challenges to airline frequent flier mile programs is the backlog of unredeemed miles. True or False you are called for a patient who is complaining of being weak and dizzy. he reports that he does not have enough money to pay for his medications so he has not gotten them refilled. your service has an automatic blood pressure machine and you use it to measure the patient's blood pressure while you count his respirations. the blood pressure machine reports a blood pressure of 280/140. what should you do next? question 14 options: a) begin transport immediately b) call immediately for als response c) continue with vital sign assessment d) take a manual blood pressure What do you use to separate arguments in a function? PLEASEE HELPPP!!! 3 QUESTIONSConsider the function below.f(x)=8/x6What would be the output if the input is 8?responses:-1/4-4-8/14-8/6What is the average rate of change of the function f(x)=3x^25 over the interval [2, 6]?responses:-3-48-12-24The average mass of a certain type of microorganism is 2.410^6grams. What is the approximate total mass of 5,000 of these microorganisms?responses:-0.00012 g-0.0012 g-0.012 g-0.12 g a headache that hampers your ability to listen actively to another constitutes which kind of noise?A) physiologicalB) psychologyC) Communication the best use of a gantt chart is to: group of answer choices show expected start and end times for project activities and to track actual progress against these time targets. shorten the overall duration of a project. show precedence requirements for a project's constituent activities. determine the earliest start and finish times for each project activity. A horizontal force of 23 N is required to keep a 4.5 kg box traveling at a constant speed up a frictionless incline for a verticalheight change of 4.2 m. (Enter your answers in joules.)(a) What is the work done by gravity during this change in height?(b) What is the work done by the normal force?(c) What is the work done by the horizontal force? What relationship can be determined from the following information: . The radioactive isotope iodine 131 has a half-life of 8.1 days and emits 0.8 MeV (milli-electronvolts) of energy . The radioactive isotope phosphorus 32 has a half-life of 14.3 days and emits 1.7 MeV of energy . The radioactive isotope phosphorus 33 has a half-ife of 25.5 days and emits 0.25 MeV of energy . The radioactive isotope sulfur 35 has a half-lfe of 875 days and emits 0.2 MeV of energy Multiple Choice O The longer the half-lIfe, the more energy emitted by the particles O The longer the hif ife the les energy emited by the porticles O Redotoopes of he same elemen must enst the same amountof energy in their emissions of the same element must emit the same amount of energy in their emissions and decay at the same rate. O Adjusted for time, radioisotopes emit the same amount of energy in their emissions O Energy and half-life are not directly related. why is an equity indexed annuity considered to be a fixed annuity? What european country provided the first test case in the cold war? Storing parts outside doesn't cause any environmental risks as long as the items are covered write a number or expression in each empty box to create a true equation 15 + 10 = _____ (3 + 2) A planet whose distance from the Sun is 3 A.U. would have an orbital period of how many Earth-years?a) 81b) 27c) 3d) 3e) 9.