Assume 0 is an acute angle.
cot 0 =
4
3

Assume 0 Is An Acute Angle.cot 0 =43

Answers

Answer 1

The value of the angle csc θ of the given problem is: 5/4

How to solve the trigonometric ratios?

There are different trigonometric ratios such as:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

Now, we are given that:

cot θ = 4/3

We know that cot θ = 1/tan θ

Thus:

tan θ = 3/4

Since θ is an acute angle, it means it is less than 90 degrees. Thus, using Pythagoras theorem, we can find the third side which is the hypotenuse to be 5

Now, csc θ = 1/sin θ

Thus: sin θ = 4/5

csc θ = 5/4

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Related Questions

What did Li’s crush give his Girl Friend and why was his mother upset later about the gift? Provide evidence from the text to support your response.

Answers

In the excerpt, Li's crush gave his girl   friend a rose. The text states: Li's crush gave his girl   friend a rose. She was so happy!

Li's mother was upset about the gift later because she thought it was too expensive.

How to explain the excerpt

The text states: Li's mother was upset when she found out how much the rose cost. She thought it was too much money to spend on a gift.

Li's mother's reaction is understandable. Roses are expensive flowers, and it is possible that Li's mother did not have the money to spend on such a gift. However, it is also important to remember that Li's crush was trying to do something nice for his girl friend, and the rose was a symbol of his love for her. In the end, it is up to Li and his girl friend to decide whether or not the rose was worth the money.

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The volume of a cone with height h and radius r can be found using the formula V= 1/3 π r^2h
Find the volume of a cone with radius 9 feet and height 4 feet. Round your answer to two decimal places.

Answers

Answer:
To find the volume of a cone with radius 9 feet and height 4 feet, we can use the formula:

V = (1/3) * π * r^2 * h

Plugging in the values:

V = (1/3) * π * (9^2) * 4

Calculating:

V = (1/3) * π * 81 * 4

V ≈ 108.19 cubic feet

Therefore, the volume of the cone is approximately 108.19 cubic feet (rounded to two decimal places)

There are books on a shelf. of these books are new. The rest of them are used. what is the ratio of used books to all books on the shelf?

Answers

Let's denote the total number of books on the shelf as 'total_books', and the number of new books as 'new_books'.

The number of used books can be calculated as the difference between the total number of books and the number of new books:

used_books = total_books - new_books

To find the ratio of used books to all books on the shelf, we divide the number of used books by the total number of books:

Ratio of used books to all books = used_books / total_books

Substituting the expression for used_books, we have:

Ratio of used books to all books = (total_books - new_books) / total_books

Simplifying further:

Ratio of used books to all books = 1 - (new_books / total_books)

Therefore, the ratio of used books to all books on the shelf is equal to 1 minus the ratio of new books to total books.

4
(1 pa
10. The table shows the results from home games for a specific team during the season leading up
to the World Series. The team's home field has a roof that can be closed for weather. If it is
closed, the fans could make more noise for the home team and possibly give them an
advantage. Find the test statistic needed to test independence for the contingency table.
Closed roof
Open roof
034.215
00.093
00.798
03.841
Win
36
15
Loss
17
11

Answers

The test statistic χ² is approximately 1.47.

We have,

To test independence for the contingency table, we need to calculate the test statistic.

The most commonly used test statistic for testing independence in a 2x2 contingency table is the chi-square test statistic.

The chi-square test statistic (χ²) is calculated using the formula:

χ² = Σ [(Observed - Expected)² / Expected]

Where:

Σ represents the sum over all cells of the contingency table.

Observed is the observed frequency in each cell.

Expected is the expected frequency in each cell if the variables were independent.

First, we calculate the expected frequencies for each cell. To do this, we use the formula:

Expected frequency = (row total x column total) / grand total

Grand total = sum of all frequencies = 36 + 17 + 15 + 11 = 79

Expected frequency for the cell "Closed roof - Win" = (53 * 51) / 79 = 34.49

Expected frequency for the cell "Closed roof - Loss" = (53 * 28) / 79 = 18.51

Expected frequency for the cell "Open roof - Win" = (26 * 51) / 79 = 16.51

Expected frequency for the cell "Open roof - Loss" = (26 * 28) / 79 = 9.49

Now, we can calculate the test statistic using the formula:

χ² = [(36 - 34.49)² / 34.49] + [(17 - 18.51)² / 18.51] + [(15 - 16.51)² / 16.51] + [(11 - 9.49)² / 9.49]

Calculating each term and summing them up:

χ² ≈ 0.058 + 0.482 + 0.58 + 0.35 ≈ 1.47

Therefore,

The test statistic χ² is approximately 1.47.

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{[(30+40)+(40-30)]x(20+10)}

Answers

Let's simplify the expression step by step:

First, let's simplify the inner parentheses:
(30 + 40) = 70
(40 - 30) = 10

The expression now becomes:
[(70) + (10)] x (20 + 10)

Next, let's simplify the addition within the parentheses:
(70) + (10) = 80
(20 + 10) = 30

The expression further simplifies to:
80 x 30

Finally, let's multiply:
80 x 30 = 2400

Therefore, the final result of the expression [(30+40)+(40-30)]x(20+10) is 2,400.

I hope this helps! :)
{[(30+40)+(40-30)]x(20+10)}

{[70 + 10]x 30}

{80 x 30}

2400

edmentum question:
-post test: similarity and proof
in the diagram, the ratios __ and ___ are equal

Answers

We can deduce here that in the diagram the ratios  AD : DB  and  AE : EC  are equal.

What are similar triangles?

Triangles that resemble one another but may differ in size are said to be similar triangles. They have equal corresponding angles and proportional corresponding sides, in other words.

Two triangles are similar if and only if the following conditions are met:

Angle-Angle (AA) SimilaritySide-Angle-Side (SAS) SimilaritySide-Side-Side (SSS) Similarity

The corresponding sides of two triangles that are comparable are proportionate. The length of the comparable side in the other triangle can be obtained by multiplying the length of a side in one triangle by the same factor.

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HELP PLEASEE PLEASE I NEED TO PASS THIS LESSON

Answers

The function [tex]G(t)= 1024(0.5)^{t-1[/tex] models the number of computer games sold where t is the number of days since the release date and G(t) is the number of computer games sold.

The given table is

Days After                        Number of

Release Date                   Games sold

       0                                   1024

       1                                     512

       2                                     256

       3                                     128

Here, the common ratio = 512/1024

= 1/2

The formula to find nth term of the geometric sequence is aₙ=arⁿ⁻¹. Where, a = first term of the sequence, r= common ratio and n = number of terms.

Here, [tex]G(t)= 1024(0.5)^{t-1[/tex]

Therefore, the function [tex]G(t)= 1024(0.5)^{t-1[/tex] models the number of computer games sold where t is the number of days since the release date and G(t) is the number of computer games sold.

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The slop of the graphed line is 2/3

Answers

The formulas that represent the linear function in this problem are given as follows:

y - 2 = 2/3(x - 1).y - 4 = 2/3(x - 4).f(x) = 2x/3 + 4/3.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The line has a slope of 2/3, hence:

y = 2x/3 + b.

When x = 1, y = 2, hence the intercept b is obtained as follows:

2/3 + b = 2

b = 6/3 - 2/3

b = 4/3.

Hence the slope-intercept equation of the line is given as follows:

f(x) = 2x/3 + 4/3.

The line goes through points (1,2) and (4,4), hence the point-slope equations to the line are given as follows:

y - 2 = 2/3(x - 1).y - 4 = 2/3(x - 4).

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In the figure below, k || 1 and m II n. Find the values of x and y.
xo
(Sy-98)
#
77°
X =
y=

Answers

x+77=180

x=180-77=103°

x+5y-98=180

=> 103+5y-98=180

=> 5y=180-5

=> y=175/5=35°

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

To determine the radius of each wheel, we can use the formula for the circumference of a circle:

Circumference = 2πr,

where "Circumference" represents the circumference of the wheel and "r" represents the radius of the wheel.

Given that the circumference of each wheel is 22 inches, we can set up the equation as follows:

22 = 2πr.

To solve for the radius, we'll isolate "r" by dividing both sides of the equation by 2π:

22 / (2π) = r.

Using a calculator for the approximation, we get:

r ≈ 3.5 inches.

Therefore, to the nearest length, the radius of each wheel is approximately 3.5 inches.

Answer:

C) 3.5 inch

Step-by-step explanation:

Consider the line 3x+2y=-1.
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of perpendicular line:
Equation of parallel line:
0

Answers

To find the equation of a line perpendicular to the line 3x + 2y = -1 and passing through the point (5, 3), we need to determine the slope of the given line first.

The given line is in the form Ax + By = C, where A = 3, B = 2, and C = -1. To find the slope of this line, we can rearrange the equation in slope-intercept form (y = mx + b), where m is the slope:

3x + 2y = -1
2y = -3x - 1
y = (-3/2)x - 1/2

The slope of the given line is -3/2. Since a line perpendicular to this line will have a negative reciprocal slope, we can find the perpendicular slope by taking the negative reciprocal of -3/2:

Perpendicular slope = -1 / (-3/2) = 2/3

Now we have the slope of the perpendicular line, and we can use the point-slope form of a line (y - y₁ = m(x - x₁)) to find its equation. Plugging in the values (5, 3) for (x₁, y₁) and 2/3 for m:

y - 3 = (2/3)(x - 5)

Expanding and simplifying:

3y - 9 = 2x - 10
2x - 3y = 1

Therefore, the equation of the line that is perpendicular to 3x + 2y = -1 and passes through the point (5, 3) is 2x - 3y = 1.

To find the equation of a line parallel to the given line and passing through the point (5, 3), we can use the same method. Since parallel lines have the same slope, the slope of the parallel line will also be -3/2.

Using the point-slope form with (5, 3) and -3/2:

y - 3 = (-3/2)(x - 5)

Expanding and simplifying:

2y - 6 = -3x + 15
3x + 2y = 21

Therefore, the equation of the line that is parallel to 3x + 2y = -1 and passes through the point (5, 3) is 3x + 2y = 21.

What’s the factor of the expression?

Answers

The answer to this question: B

FIND THE VALUE OF X IN THE DIAGRAM BELOW

Please help me ASAP I will give 20 points ​

Answers

a = 30°

b = 180-135 = 45°

total angle inside triangle = 180°

x = 180-(30+45) = 105°

What is the the measure of A
B
40°
?
C

Answers

Answer:

Step-by-step explanation:

To find the measure of angle A

Janice is painting a portion of a gymnasium court. If Janice paints the shaded area, then how many square feet will she paint?



16ft and 40ft

a.378.6ft
b.861.7ft
c.439.04ft
d.527.58ft​

Answers

the answer is letter d

1. Simplify: |-11 +3|
Answer
A-8
B -14
C 8
D 14​

Answers

Answer: C

Step-by-step explanation:

|-8| = 8

a floor that is 15 15 feet by 12 feet is being covered by tiles that are 1.5 feet by 1.5 feet. which is the best represents the number of tiles that will be needed

Answers

The best representation of the number of tiles that will be needed to cover the Floor is 80 tiles.

The number of tiles needed to cover the floor, we can calculate the total area of the floor and divide it by the area of each tile.

The area of the floor is given by the product of its length and width: 15 feet * 12 feet = 180 square feet.

The area of each tile is given by the product of its length and width: 1.5 feet * 1.5 feet = 2.25 square feet.

To find the number of tiles needed, we divide the total area of the floor by the area of each tile:

Number of tiles = (Total area of the floor) / (Area of each tile) = 180 square feet / 2.25 square feet = 80 tiles.

therefore, the best representation of the number of tiles that will be needed to cover the floor is 80 tiles.

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What is the meaning of "[tex]dom(R)\subset \cup\cup R[/tex]"?

Answers

"dom(R) ⊂ UU R" means that the domain of relation R is a subset of the universal set associated with relation R

Understanding Set Notation

The notation "dom(R) ⊂ UU R" refers to the domain of a relation R being a subset of the universal set U.

Let me help you to break it down

1. dom(R): This represents the domain of the relation R. The domain of a relation is the set of all elements that appear as the first component in any ordered pair of the relation.

2. : This symbol indicates a subset relationship, meaning that the set on the left-hand side is a subset of the set on the right-hand side. In this case, "dom(R) ⊂ U" implies that the domain of relation R is a subset of the universal set U.

3. "UU R": The term "UU R" likely represents the universal set associated with relation R. It indicates the set that contains all possible elements that can be related by R.

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Write the function f(x) after the following transformation was performed:
Dilation by a factor of 16

Answers

If a dilation by a factor of 16 is performed on the function f(x), the resulting function can be expressed as f(x) * 16.

In other words, each y-value of the original function is multiplied by 16, while the x-values remain the same.

If you reflect AFGH across the y-axis, What will be the coordinates of the vertices of the image AFGH?

Answers

The coordinates of the vertices of the image F'G'H' after reflecting FGH across the y-axis are:

F' = (2, -1)

G' = (-2, 2)

H' = (-4, -3)

We have,

When reflecting a point across the y-axis, the x-coordinate of the point is negated while the y-coordinate remains the same.

Applying this transformation to each vertex, we get:

F' = (-(-2), -1) = (2, -1)

G' = (-(2), 2) = (-2, 2)

H' = (-(4), -3) = (-4, -3)

Therefore,

The coordinates of the vertices of the image F'G'H' after reflecting FGH across the y-axis are:

F' = (2, -1)

G' = (-2, 2)

H' = (-4, -3)

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Express log 161 in the form of loga + logb.

Answers

log 161 can be expressed as log 7 + log 23 in the form of loga + logb.

To express log 161 in the form of loga + logb, first we need to find suitable values for a and b such that their logarithmic product is equal to log 161.

Let's find the factors of 161 :

161 = 7 * 23

Now, we can express log 161 as product of two logarithms :

log 161 = log (7 + 23)

Using the logarithmic property log(a*b) = log a + log b :

log 161 = log 7 + log 23

Therefore, log 161 can be expressed as log 7 + log 23.

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The average fourth grader is about three times as tall as the average newborn baby. If babiesare on average 45cm 7mm when they are born, What is the height of the average fourth grader?

Answers

The average fourth grader is about three times as tall as the average newborn baby. If babies are on average 45 cm 7 mm when they are born,  137 cm 1 mm is the height of the average fourth grader.

Given information,

Baby height is typically 45 cm. 7 mm 45 cm Since there are 10 millimeters in a centimeter, 7 mm is equal to 45.7 cm.

Assume that a fourth-grader is x inches tall.

The average height of a newborn baby (x) = 3 times the height of a fourth-grader.

A fourth-grader's height (x) is equal to 3 x 45.7.

A fourth-grader's height is equal to (x)=137.

Fourth-grader height (x) = 137 cm 1 millimeter

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asdaadadadasdadasdasdadsadasdasdasdasda

Answers

This is not a question. Next time, please add a question so that others might be able to help you with it

Please answer these questions by today

Answers

41.

Out of the 18 parts, we shade 5 parts

Out of the 27 parts, we shade 4 parts

42.

There are 60 pieces.

43.

The fractional part for each person.

44.

10(1/2), 1/21, 2(14/15), and 18.

We have,

41.

a.

1/3 x 5/6

= 5/18

This means,

Out of the 18 parts, we shade 5 parts

b.

2/9 x 2/3

= 4/27

This means,

Out of the 27 parts, we shade 4 parts

42.

String = 15 feet

Length of each piece = 1/4 feet

Now,

The number of 1/4 feet pieces.

= 15/(1/4)

= 15 x 4

= 60 pieces

43.

Original pizza = 1

Half pizza = 1/2

Number of people = 3

Now,

The fractional part for each person.

= 1/2 ÷ 3

= 1/6


44.

a.

7/6 x 9

= 7/2 x 3

= 21/2

= 10(1/2)

b.

1/7 ÷ 3

= 1/(7 x 3)

= 1/21

c.

4/5 x 3(2/3)

= 4/5 x 11/3

= 44/15

= 2(14/15)

d.

2 ÷ 1/9

= 2 x 9/1

= 18

Thus,

41.

Out of the 18 parts, we shade 5 parts

Out of the 27 parts, we shade 4 parts

42.

There are 60 pieces.

43.

The fractional part for each person.

44.

10(1/2), 1/21, 2(14/15), and 18.

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Solve following modular equation, using reverse Euclidean algorithm:

[tex](5 * x) mod 91 = 32[/tex]

Answers

The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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2.
5 m
50 m
18 m
25 m

Answers

As per the given data, the area of the rectangular field is approximately 204 square meters.

To find the area of the rectangular field, we need to multiply its length by its width.

Given that the length is 18 2/5 m and the width is 11 2/23 m, we need to convert these mixed fractions into improper fractions for easier calculation.

Length: 18 2/5 m = (5 * 18 + 2)/5 = 92/5 m

Width: 11 2/23 m = (23 * 11 + 2)/23 = 255/23 m

Now, we can calculate the area of the rectangular field:

Area = Length * Width

     = (92/5) m * (255/23) m

     = (92 * 255)/(5 * 23) m^2

     = 23460/115 m^2

     = 204 m^2 (rounded to the nearest whole number)

Therefore, the area of the rectangular field is approximately 204 square meters.

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Your question seems incomplete, the probable complete question is:

A rectangular field is 18 2/5 m long and 11 2/23 m wide. Find its area. ​

9. Determine the area of the figure below.
5.5 cm
8 cm
12 cm
6.8 cm

Answers

Area of the given figure would be :

" Sum of area of Trapezoid and Semicircle "

Lets calculate the area of Trapezoid first ~

its " 1/2 times (sum of parallel sides) times (perpendicular distance between them) "

[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{2} \times ( 8+ 12) \times (5.5)[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{2} \times (20) \times (5.5)[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: 10 \times 5.5[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: 55 \: \: cm {}^{2} [/tex]

Next, area of Semicircle ~

[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{ \pi {r}^{2} }{2} [/tex]

[tex] \textsf{[ diameter (d) = 8 cm, radius (r) = d/2 = 8/2 = 4 cm ]} [/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: \frac{3.14 \times ( {4)}^{2} }{2}[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: 1.57 \times 16[/tex]

[tex]\qquad\displaystyle \tt \dashrightarrow \: 25.12 \: \: cm {}^{2} [/tex]

Now, Area of the composite figure :

- Area of Trapezoid + Area of Semicircle

[tex]\qquad\displaystyle \tt \dashrightarrow \: 55 + 25.12 = 80.12 \: cm²[/tex]

Solve (D ^ 2 - 6D + 9) * y = 0

Answers

The solution to the given differential equation is y(x) = (C1 + C2x) * e^(3x), where C1 and C2 are arbitrary constants.

To solve the given differential equation, we need to find the function y(x) that satisfies the equation:

(D^2 - 6D + 9)y(x) = 0,

where D represents the differentiation operator.

Let's break down the solution process step by step:

Characteristic Equation

First, we'll find the characteristic equation associated with the given differential equation. For a second-order linear homogeneous differential equation of the form aD^2y + bDy + cy = 0, the characteristic equation is obtained by replacing D with λ:

λ^2 - 6λ + 9 = 0.

Solving the Characteristic Equation

Now, we solve the characteristic equation to find the values of λ. Factoring the equation, we get:

(λ - 3)^2 = 0.

From this, we see that λ = 3 (with a multiplicity of 2).

General Solution

The general solution of the differential equation is given by:

y(x) = C1e^(λ1x) + C2xe^(λ2*x),

where C1 and C2 are arbitrary constants, and λ1, λ2 are the distinct roots of the characteristic equation.

In our case, since we have repeated roots, the general solution simplifies to:

y(x) = C1e^(3x) + C2xe^(3*x).

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in the histogram above I'm which interval does most of the data lie​

Answers

Answer: The Mode

Step-by-step explanation:

The mode is the data value that occurs the most often in a data set

variable of 10(n+3)=1,000,00

Answers

Answer: Distribute the 10 on the left side of the equation:

10n + 30 = 1,000,000

Subtract 30 from both sides of the equation to isolate the term with n:

10n = 1,000,000 - 30

10n = 999,970

Divide both sides of the equation by 10 to solve for n:

n = 999,970 / 10

n = 99,997

Therefore, the value of the variable n that satisfies the equation 10(n + 3) = 1,000,000 is n = 99,997.

Step-by-step explanation:

Other Questions
Let D be the region inside the circlex2+y2=25 and below the line x-7y=25. Thepoints of intersection are (-3,-4) and (4,-3).a. Set up, but do not evaluate, an integral that represents thearea of th names of some sorting algorithms have been given below, with descriptions of how those algorithms (and others) work on the right. (the variable n refers to the number of elements.) match the algorithm to the description by selecting its letter in the drop-down lists. you will not use every description. selection sort: [ select ] insertion sort: [ select ] a. randomly shuffle the elements, then check to see if they are sorted. if not, repeat until they are. b. recursively divide the elements into two equal-sized lists (leftside and right side) until you are down to 1 element each. Then as the recursion unwinds, combine the left and right sides into a single list by scanning across them simultaneously and picking off the elements in the correct order. Selection sort: c. Scan the list between 0 and N for the smallest element and swap it with the element at position 0. Then, scan the list between 1 and N for the smallest element and swap it with the element at position 1. Continue this, moving forward one element each time, until you reach the end of the list. (Select] Insertion sort: [Select] d. Compare elements 0 and 1; if they are not in order, swap them. Then compare elements 1 and 2; if they are not in order, swap them. Continue this, moving forward one element each time, until you reach the end of the list. If you made it through the entire list without doing any swaps, it is sorted and you can stop. Otherwise, start again at the beginning and repeat. e. Examine the element at position and note that by itself, it is sorted. Then examine the element at position 1 and move it backward (shifting the elements after it forward) until the list between positions and 1 is sorted. Then examine the element at position 2 and move it backward (shifting the elements after it forward) until the list between positions 0 and 2 is sorted. Continue this, moving forward one element each time, until you reach the end of the list. Find the quotient and remainder using long division. x +3 x+1 The quotient is 2-x+1+2 X The remainder is x + 1 Add Work Check Answer X (q37ch7). roger pack is a breeder of pomeranian dogs. he has used the same grooming salon for his dogs for the last 10 years. when a new groomer accidentally trimmed too much off of one of his show dog's hind quarters, he was upset. he decided not to make a big deal of the event because of his long-term dealings with the salon owner. which service recovery strategy is being used in this example? All of the following are true with regard to nonnutritive sweeteners, EXCEPT that they:a.are regulated by the FDA.b.are essentially calorie-free.c.include sorbitol and mannitol.d.are hundreds of times sweeter than sucrose. Debate on why i must be made the school makedder What is the area of the shaded region?13 cm10 cm,5cm3cm12cm find the length s of the arc that subtends a central angle of measure 4 rad in a circle of radius 3 cm. s=....? Drill #437: Compute each of the following limits. Read the notation carefully. (8) lim tan(x) --- a body moves on a coordinate line such that it has a position s=f(t)=t^2-8t+7 on the interval 0(greater than or equal to)t(greater than or equal to)9 with s in meters and t in secondsa)find the bodys displacement and average velocity for the given time intervalb)find the bodys speed and acceleration at the endpoints of the intervalc)when,if ever,during the interval does the body change direction? A statement of financial position aims to show: Select one: O A. How much the firm is worth OB. The assets and liabilities of the firm at a particular point in time O C. Whether the firm is trading su _____ can be defined as the legal or social practice of separating people on the basis of their race or ethnicity.a. Discriminationb. Racializationc. Segregationd. Apartheid The primary purpose of the essay byDu Bois is which of the following? Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression (1 + cot ex1 - cot e)-csce Which of the following bonds has the greatest interest rate risk?a. a 5 year, 10% coupon bondb. a 10 year, 10% coupon bondc. a 5 year, 5% coupon bondd. a 10 year, 5% coupon bond Where in TIS can a technician change library search settings? - Feedback - Help - My Account - Service Lane group of students is walking in the park, and one of them takes a picture of a pollen grain that is being blown by the wind. What caption can the student use for this picture?gene mutation in actiongene flow at workgenetic drift as it happensnatural selection in progress How many grams of beryllium chloride (BeCl2) are needed to make 125 g of a 22.4% solution? Can someone please help me with this?? what sample size would be needed to construct a 95% confidence interval with a 3% margin of error on any population proportion? give a whole number answer. (of course.)