find the values of the trigonometric functions of t from the given information. cos(t) = − 11 61 , terminal point of t is in quadrant iii sin(t) = tan(t) = csc(t) = sec(t) = cot(t) =

Answers

Answer 1

Terminal point of t is in quadrant lll are : sin(t) ≈ -60/61   ;  tan(t) ≈ 60/11   ;  csc(t) ≈ -61/60   ;  sec(t) ≈ -61/11   ;  cot(t) ≈ 11/60

How to find values of the trigonometric functions in quadrants?

Given that the terminal point of t is in quadrant III and that cos(t) = -11/61, we can determine the values of the trigonometric functions as follows:

Since cos(t) = -11/61, we can use the Pythagorean identity to find sin(t):

sin(t) = √(1 - cos²(t))

sin(t) = √(1 - (-11/61)²)

sin(t) = √(1 - 121/3721)

sin(t) = √(3600/3721)

sin(t) ≈ -60/61 (since t is in quadrant III, sin(t) is negative)

Now, since tan(t) = sin(t) / cos(t), we can find tan(t):

tan(t) = (-60/61) / (-11/61)

tan(t) ≈ 60/11

Next, we can find the remaining trigonometric functions using the reciprocal relationships:

csc(t) = 1 / sin(t)

csc(t) ≈ -61/60

sec(t) = 1 / cos(t)

sec(t) ≈ -61/11

cot(t) = 1 / tan(t)

cot(t) ≈ 11/60

To summarize:

sin(t) ≈ -60/61

tan(t) ≈ 60/11

csc(t) ≈ -61/60

sec(t) ≈ -61/11

cot(t) ≈ 11/60

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Related Questions

Which function describes this graph?

Answers

zeros: x=-3 x=-6factors: x+3 x+6

[tex]f(x) = (x + 3)(x + 6) \\ f(x) = x {}^{2} + 6x + 3x + 18 \\ f(x) = x {}^{2} + 9x + 18[/tex]

Option C

Answer:

C.) y = x² + 9x + 18

Step-by-step explanation:

C.) is correct because the function has the accurate x-intercepts. X-intercepts are the x-values in which the line passes through the x-axis. We can prove this by setting the function equal to 0, factoring, then solving for "x". You can factor the function by asking yourself the question, "which two numbers multiply to 18 and add to 9?"

y = x² + 9x + 18                             <----- Original function

0 =  x² + 9x + 18                           <----- Set the function equal to 0

0 = (x + 6)(x + 3)                           <----- Factor

0 = x + 6             0 = x + 3

-6 = x                  -3 = x

So, at (-3, 0) and (-6, 0), the function crosses the x-axis. This matches the given graph.

write 1/c + 1/d - c-d/cd as a single fraction in its simplest form

Answers

imagine the cd/cd as 1 which is a whole number. then, add the denominators (d+c-cd)/cd

Total area=
Help me please thanks so much

Answers

The total area of the regular pentagon prism is 485 square units

How to determine the surface area?

The given parameters are:

Base area = 50

Height = 11

Base = 7

Start by calculating the total area of the 5 sides using

Sides = n * Height * Base

Sides = 5 * 11 * 7

Sides = 385

The total surface area is

Total = 2 * Base area + Sides

This gives

Total = 2 * 50 + 385

Evaluate

Total = 485

Hence, the total area of the regular pentagon prism is 485 square units

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How many five-letter words (technically, we should call them strings, because we do not care if they make sense) can be formed using the letters A, B, C,

Answers

Total number of five letter strings formed by A,B,C and D with repetitions allowed

={4x4x4x4x4 = 4 power 5 = 1024

Now, fix BAD in a string at one place then we have 2 more places to be filled with 4 letters, total number of such strings

=4x4=16

Here, BAD can be at any of the 3 positions,

Hence the total number of strings with BAD in it

= 3 x 16=48

Now, The total number of strings not containing BAD

=1024-48

=976

Using 26 letters, the number of 5-letter words that can be formed when the letters are different is determined as follows: 26P5 = 26 × 25 × 24 × 23 × 22 = 7883600 different words.

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A new Outdoor Recreation Center is being built in Hadleyville. The perimeter of the rectangular playing field is 318 yards. The length of the field is 5 yards less than
triple the width. What are the dimensions of the playing field?
yards.

Answers

Answer:

41 yards by 118 yards

Step-by-step explanation:

Let W and L be the Width and Length of the playing field:

The perimeter, P, would be P = 2W + 2L

We are told that P = 318 yards.

We learn that L = 3W - 5

Combining this information, we can say:

P = 2W + 2L                         [Oriinal equation]

318 = 2W + 2L                      [P is 318]

318 = 2W + 2(3W-5)             [ Use the definition of L = 3W - 5]

318 = 2W + 6W - 10

328 = 8W

W = 41 yards

Use this value of W to find L:

L = 3W - 5

L = 3(41) - 5

L = 123 - 5

L = 118

CHECK

Does 2*(118) + 2*(41) = 318?  YES

Is the length 5 yards less than triple the width?

3*(41) - 5 = 118  YES

Type the correct answer in each box.
Compete the statement about these similar cylinders.

Answers

Using proportions to find the radius of figure 2, we have that:

The circumference of the base of figure 2 is of [tex]4\pi[/tex] inches.The area of the base of figure 2 is of [tex]4\pi[/tex] square inches.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The rule of three to find the radius of figure 2 is given as follows:

[tex]\frac{5}{9} = \frac{r}{4.5}[/tex]

Applying cross multiplication:

9r = 4 x 4.5

r = 4 x 4.5/9

r = 2 in

What is the circumference of a circle?


The circumference of a circle of radius r is given by:

[tex]C = 2\pi r[/tex]

In this problem, we have that r = 2 inches, hence:

[tex]C = 2\pi \times 2 = 4\pi[/tex]

What is the area of a circle?

The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:

[tex]A = \pi r^2[/tex]

Hence:

[tex]A = 4\pi[/tex]

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Answer: First one is 5, Second is 6.25

Step-by-step explanation: Correct on Edmentum/Plato

WILL MAKE BRAINLIEST!!Determine if the two triangles are congruent if they are state the postulate or theorem that provides they are congruent

Answers

Answer:

Yes they are congruent by SSS criterion

Step-by-step explanation:

AC=DC. (Given in figure)

AB=BD. (Given in figure

BC=BC. (Common)

that means triangle BAC is congruent to triangle BDC by SSS criterion.

Which is a solution for the following system of inequalities?
(7x+2y >3
(x-2y <2

Answers

The solution for the system of linear inequalities 7x+2y > 3 and x-2y < 2 are x = 5/8 and y = -11/16

What are linear inequalities?

Linear inequalities are inequalities that have constant average rates of change, slope or gradient

How to determine the solution to the system of inequalities?

A system of linear inequalities is a collection of at least two linear inequalities.

In this case, the system of linear inequalities is given as

7x+2y > 3

x-2y < 2

Rewrite the inequalities as equations

7x+2y = 3

x-2y = 2

Make x the subject in the second equation, by adding 2y to both sides of the equation

x - 2y +2y = 2 + 2y

This gives

x = 2 + 2y

Substitute x = 2 + 2y in 7x+2y = 3

7(2 + 2y) +2y = 3

Expand the brackets

14 + 14y + 2y = 3

Evaluate the like terms

16y = -11

Divide both sides by 16

y = -11/16

Substitute y = -11/16 in x = 2 + 2y

x = 2 - 2 * 11/16

Evaluate the product

x = 2 - 11/8

Evaluate the difference

x = 5/8

Hence, the solution for the system of linear inequalities 7x+2y > 3 and x-2y < 2 are x = 5/8 and y = -11/16

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determine which two of the three given triangles are similar. Find the scale factor for the pair.

Answers

DEF and GHJ
the scale factor is 2/5

What’s 98 divided by 82 + 283 multiplied by 69 - 29

Answers

The solution to the given expression [98/(82 + 283)] * (69 - 29) is; 784/73

How to solve simple arithmetic operations?

We want to solve the expression;

[98/(82 + 283)] * (69 - 29)

Let us first simplify the first part which is;

98/(82 + 283) = 98/365

Then let us simplify the second part which is;

69 - 29 = 40

Thus, we have the expression;

(98/365) * 40

This can be simplified further to get;

(98/73) * 8 = 784/73

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A company’s cost, in dollars, of manufacturing x tablet computers can be represented by 20x + 200. The company’s predicted revenue of selling x tablet computers is 100 + 30x. Write a polynomial expression that represents the profit of selling x tablets. Simplify as much as possible (profit = revenue – cost)

Answers

The polynomial expression that represents the profit of selling x tablets is 10x - 100

Polynomial

Total cost = 20x + 200Predicted revenue = 100 + 30x

profit = revenue – cost

= (100 + 30x) - (20x + 200)

= 100 + 30x - 20x - 200

Profit = 10x - 100

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Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty space inside the packaging box is filled with tissue paper to keep the gift box from moving. The dimensions of the larger box are each 2.1 times longer than the corresponding dimensions of the smaller box. The volume of the smaller box is 24 cubic centimeters. What is the volume of the space filled with tissue paper in the packaging box? 81.84 cubic centimeters 105.84 cubic centimeters 198.264 cubic centimeters 222.264 cubic centimeters

Answers

The volume of the space filled with tissue paper in the packaging box is 198.264 cubic centimeters

Volume

Volume if small, Vs = 24 cubic inches

Constant = k

= 2.1³

= 9.261

Volume of large : volume of small = k

Vl / Vs = k

Vl = Vs × k

= 24 × 9.261

= 222.264 cubic inches

Therefore,

Volume of tissue paper = volume of large - volume of small

= 222.264 cubic inches - 24 cubic inches

= 198.261 cubic inches

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A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the ​respondents, ​% chose chocolate​ pie, and the margin of error was given as percentage points. Describe what is meant by the statement that​ "the margin of error was given as percentage​ points."

Answers

The statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

According to the statement

we have a given that the Among the 1000 respondents,

12​% chose chocolate​ pie, and the margin of error was given as

±5 percentage points.

and we have to explain the statement that the margin of error was given as ±5 percentage​ points.

We know that the interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.

And this statements also indicates the interval between the like and unlike respondents of chocolate pie.

So, this statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

So, The statement indicates that the interval 12​%±5​% is likely to contain the true population percentage of people that prefer chocolate pie.

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please and a girl out, and if you can explain how you got the answer so i can undertsnad myself​

Answers

Answer:

9cm

Step-by-step explanation:

If the triangles are similar then their lengths are in a ratio to each other, Ex: PR is 3 times LN, 2*3 = 6cm

This gives us a ratio of 1:3

PQ = LM*3 = 3cm*3 = 9cm

you generate electricity with your own personal wind turbine? That depends on whether you have enough wind on your site. To produce enough energy, your site should have an annual average wind speed of at least 8 miles per
ding to the Wind Energy Association. One candidate site was monitored for a year, with wind speeds recorded every 6 hours. A total of 1114 readings of wind speed averaged 8.019 mph with a standard deviation of 3.813 mph. Youl
I asked to make a statistical report to help the landowner decide whether to place a wind turbine at this site. Complete parts a and b below.

Answers

The 95% confidence interval of the statistics is (7.795, 8.243).

How to illustrate the information?

Based on the information given, the 95% confidence interval will be:

= 8.019 + (1.962 × 3.183/✓1114)

= 8.243 and

= 8.019 - (1.962 × 3.183/✓1114)

= 7.795

In conclusion, the 95% confidence interval of the statistics is (7.795, 8.243).

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Find the data set that places 22.6 as an outlier.

2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9

13.6, 31.7, 25.8, 22.6, 18.9, 21.6, 30.5

20.5, 20.8, 21.6, 22.6, 23.7, 24.5, 25.1

22.6, 21.5, 23.7, 22.6, 28.9, 22.6, 20.9

Answers

The data-set that places 22.6 as an outlier is given as follows:

2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9

When a measure is considered an outlier in a data-set?

A measure is considered an outlier in a data-set if it is very far from other measures, especially in these two cases:

If the measure is considerably less than the second smallest value.If the measure is considerably more than the second highest value.

In this problem, he data-set that places 22.6 as an outlier is given as follows:

2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9.

The second highest value is 5.3, which is considerably less than 22.6, hence 22.6 is an outlier in the data-set.

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PLEASE HELP
Graph the triangle with the given vertices. Find the length and the slope of each side of the triangle. Then find the coordinates of the midpoint of each side. Is the triangle a right triangle? isosceles? Explain (Assume all variables are positive and m ≠ n)
D (0,n), E(m,n), F(m,0)

Answers

Answer:

Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral

Step-by-step explanation:

All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.

DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.

Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.

Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.

Find the volume of a pyramid with a square base, where the perimeter of the base is 4.1 m and the height of the is pyramid 3.6 m. Round your answer to the nearest tenth of a cubic meter.

I will mark brainlest

Answers

Answer:

Volume = 1.3m³

Step-by-step explanation:

The height of the pyramid (h) = 3.6m

The perimeter of the base = 4.1m

Volume of a pyramid = ?

Formula:-

[tex]\boxed{\sf Volume =\cfrac{1}{3} \: a^2h}[/tex]

So,

Perimeter = 4a

[tex]\sf 4.1=4a[/tex]

[tex]\sf a=1.025[/tex]

Now, let's put the value of a in the formula:-

[tex]\sf V=\cfrac{1}{3} \:(1.025)^{2} (3.6)[/tex]

[tex]\sf 1.26075m^2[/tex]

[tex]\sf \thickapprox 1.3m^3[/tex]

Therefore, the volume of the pyramid is 1.3m³.

Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 1/7 + (-1)+ 2/7
B. - 15+(-25) +43
C. 120+80+(-65)
D. 40+10+(-12)​

Answers

The order of the numbers which satisfies commutative property exists 1/7 + (-1)+ 2/7.

What is meant by commutative property?

The commutative property exists a math rule that states that the order in which we multiply numbers does not change the product. The commutative property uses for addition and multiplication. The property states that phrases can “commute,” or transfer locations, and the outcome will not be affected. This exists described as a + b = b + a for addition, and a × b = b × a for multiplication.

Arranging the order of the numbers the fractions

[tex]$& \frac{1}{7}+(-1)+\frac{2}{7} \\[/tex]

[tex]$=& \frac{1}{7}+\frac{2}{7}+(-1) \\[/tex]

Simplifying the equation, we get

[tex]$= \frac{1}{7}+(-1) \\[/tex]

[tex]$&=\frac{4}{7}[/tex]

Therefore, the correct answer is option A. 1/7 + (-1)+ 2/7

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Which is the graph of linear inequality 6x+2y>-10?

Answers

Answer:

we have

6x+2y > -106x+2y>−10

Isolate the variable y

Subtract 6x6x both sides

2y > -6x-102y>−6x−10

Divide by 22 both sides

y > -3x-5y>−3x−5

The equation of the line of this inequality is

y=-3x-5y=−3x−5

The slope is negative and is equal to m=-3m=−3

The y-intercept is the point (0,-5)(0,−5) ----> value of y when the value of x is equal to zero

The x-intercept is the point (-5/3,0)(−5/3,0) ----> value of x when the value of y is equal to zero

The solution of the inequality is the shaded area above the dotted line

Using a graphing tool

see the attached figure

if there are 30 items to vote on in the local election, 240 people will choose to vote. For every batch of 3 items added to the ballot, 10 fewer people will vote. If all people who vote cast votes on every item, how many items should be placed on the ballot to maximize the total number of votes cast on all items

Answers

2 items should be placed on the ballot to maximize the total number of votes cast on all items.

According to the statement

items on which people vote = 30

people who will vote = 240

batch containing items = 3

number of batches formed = 10

now we find the number of items placed on ballot to maximize the number of votes.

we find the average number by each items got the vote.

Average = items in batch / total votes

Average = 3/240

but if we add 2 items in the ballot then average become half.

So, 2 items should be placed on the ballot to maximize the total number of votes cast on all items.

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Warm Up
What is the exact distance between the points (4,-2) and (-6,4)?
Select the correct answer.
O 4√10
O2√34
O2√26
O 10√6
Submit

Answers

The distance between two points (4,-2) and (-6,4) exists [tex]2\sqrt{34}.[/tex]

How to estimate the distance between two points?

Distance between two points exists the length of the line segment that joins the two given points. Distance between two points in coordinate geometry can be estimated by finding the length of the line segment merging the provided coordinates.

Let the points be (4,-2) and (-6,4).

The distance between two points [tex](x_{1} ,y_{1})[/tex] and [tex](x_{2} , y_{2} )[/tex] exists provided by the distance between the two points

[tex]= $\sqrt\\(x_{2} -x_{1} )^{2} +(y_{2} -y_{1})^{2}[/tex]

substituting the points in the equation, we get

[tex]$=\sqrt\\(-6-(4)^{2} +(4-(-2)^{2}[/tex]

simplifying the equation, we get

[tex]$=\sqrt{136}[/tex]

[tex]$=2\sqrt{34}[/tex]

The distance between two points (4,-2) and (-6,4) exists [tex]2\sqrt{34}.[/tex]

Therefore, the correct answer is option c. [tex]$2\sqrt{34}.[/tex]

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A recent article claims that the state of Illinois has low tuition rates for its colleges and universities. Cate decides to research the cost of tuition for different colleges in Illinois. The average tuition in Illinois is $28,950 with a standard deviation of $3,470. Which type of inference test should Cate use

Answers

One sample Z Test is used by cate.

According to the statement

The average tuition in Illinois is $28,950 with a standard deviation of $3,470.

Assuming we have a large enough sample, since we are testing one group's mean relative to a hypothesized value, this would be a one-sample z-test.

So, One sample Z Test is used by cate.

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

Answers

Answer:-----------

Step-by-step explanation:------------------

Answer:

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Step-by-step explanation:

Please tell the question so i can answer it

Take some time to fill in your notes, the area that is not shown in this video. Fill in the table with the values you think are the x-values and the y-values, write them as ordered pairs, then write them as a ratio in y/x form. In the table, which are the y-values and which are the x-values [Time(s) or Heartbeat(s)]?

Answers

The x-values are the heartbeat(s) and the y-values are the time(s)

How to determine the x and y values?

The variables are given as:

Time(s) and Heartbeat(s)

As a general rule, the action that is being done is the independent variable.

The action here is the heartbeat.

So, the x-values are the heartbeat(s) and the y-values are the time(s)

A possible value of this is;

x = 100, y = 60 seconds

So, the ordered pair is (100,60)

When represented as ratio, we have;

Ratio = 60/100

Simplify

Ratio = 0.6 heartbeat per second

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Jamie is ordering cupcakes for an office party. The top three flavors are chocolate/chocolate (x), strawberry/vanilla (y), and peanut butter/chocolate (z). 18 total cupcakes are purchased for $55.75. The chocolate/chocolate are $3 each, the strawberry/vanilla are $2.75 each, and the peanut butter/chocolate are $3.50 each. There are twice as many chocolate/chocolate cupcakes purchased as peanut butter/chocolate cupcakes. How many of each type of cupcake did Jamie purchase

Answers

Jamie purchases 4 chocolate (3.57), 7 strawberry/vanilla, and 7 peanut butter cupcakes for an office party.

How to write the given information as an expression or an equation?

The steps involved are:

Observe the given data and notice the variable termsUse operators like multiplication or fraction if it consists of terms like twice or thrice or one fourth etc.Use the operators like addition or subtraction (more or less/greater or smaller) in between those variablesSolve those equations for the required values.

Calculation:

Given that,

Jamie is ordering cupcakes for an office party.

There are three flavors - Chocolate, Strawberry/vanilla, and peanut flavors.

Jamie purchased a total of 18 cupcakes for $55.75

The cost for a single cupcake of each flavor is as follows:

Chocolate - $3

Strawberry  - $2.75

Peanut - $3.50

Consider the number of cupcakes of each flavor as x, y, and z respectively.

So, the equations we can write from this data are,

x + y + z = 18 and

3x + 2.75y + 3. 50z = 55.75

But it is given that,

There are twice as many chocolate cupcakes purchased as peanut butter cupcakes.

So, z = 2x

Then the above two equations become,

3x + y = 18 and

10x + 2.75y = 55.75

By solving these two equations we get,

x = 3.57 ≅ 4

y = 7.28 ≅ 7

Since we know that z = 2x,

⇒ z = 2 × 3.57 = 7.14 ≅ 7

So,

There are 4 chocolate, 7 strawberry, and 7 peanut cupcakes.

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Anna has 3/4 the money Victor has. Victor has 18$ less than Kim they have 386.4 together how much do they each have

Answers

Solving a system of equations we can see that:

Anna has $100.47Victor has $133.96Kim has $151.96

How to find how much money each one has?

First, let's define the variables:

A = money that Anna has.V = money that Victor has.K = money that Kim has.

With the given information we can write 3 equations:

A = (3/4)*V

V = K - $18

A + V + K = $386.4

Then we need to solve a system of equations:

A = (3/4)*V

V = K - $18

A + V + K = $386.4

We can first replace the first equation into the third to get:

(3/4)*V + V + K = $386.4

And rewrite the second to get:

k = V + $18

And replace that in the other equation:

(3/4)*V + V + V + $18 = $386.4

Now we can solve this for V:

V*(1 + 1 + 3/4) = $386.4 - $18

V*(11/4) = $368.40

V = (4/11)*$368.40 = $133.96

Now that we know the value of V, we can replace it in:

K = V + $18 = $133.96 + $18 = $151.96

A = (3/4)*V = (3/4)*$133.96 = $100.47

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Parallel cousins are found in the iroquois system of kinship and are defined as:________

Answers

Parallel cousins are found in the iroquois system of kinship and are defined as bifurcate merging.

Parallel cousins, or the offspring of one's mother's or father's brothers or sisters, were frequently referred to and regarded in the same way as one's siblings. Contrarily, cross-cousins, or the offspring of one's mother's brothers or father's sisters, were frequently regarded as the best source of children.

Bifurcate merging is the underlying idea of the Iroquois system. The ego divides his family into those on his mother's side and those on his father's side (bifurcation) and combines his father with his brother (A) and his mother with her sister (B) .

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a bag of apples and oranges contains twice as many apples as oranges. if there are 15 total pieces of fruit in the bag how many apples are in the bag

Answers

Considering the definition of an equation and the way to solve it, there are 10 apples in the bag.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

Amount of apples in the bag

Being "or" the number of oranges in the bag, and knowing that:

A bag of apples and oranges contains twice as many apples as oranges.There are 15 total pieces of fruit in the bag.

the equation in this case is:

or + apples= 15

or + 2or= 15

Solving:

3or= 15

or= 15 ÷ 3

or= 5

As a bag of apples and oranges contains twice as many apples as oranges, then 2or= 2×5= 10 apples

Finally, there are 10 apples in the bag.

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3. classify each as nominal-level, ordinal-level, interval level, or ratio-level measurement. a. pages in the city of cleveland telephone book. (1 mark) b. rankings of tennis players. (1 mark) c. weights of air conditioners. (1 mark) d. temperatures inside 10 refrigerators. (1 mark) e. salaries of the top five ceos in the united states. (1 mark) f. ratings of eight local plays (poor, fair, good, excellent). (1 mark) g. times required for mechanics to do a tune-up. (1 mark) h. ages of students in a classroom. (1 mark)

Answers

Q1

Nominal - D

Ordinal-  B, G

Ratio - A, C, E, F

Q2

Quantitative- A, C, D, G

Qualitative -B, E, F, G

Q3

Simple Random - A, C

Systematic Sample - B

Nominal measures are the most accurate and meaningless, as they only show the "characteristics" or "identities" that we are interested in. In other words, in a nominal variable, a number just gives the attribute a unique "name". In this case, the number is just a label.

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