Write a pair of parametric equations for an object moving along the unit circle

Answers

Answer 1
x = cos(t)
y = sin(t)

Related Questions

Given the functions f(x)= [tex] \frac{1}{x-2} + 1 [/tex] and g(x) = [tex] \frac{1}{x+5} + 9[/tex]
Which statement describes the transformation of the graph of function f onto the graph of function g?
The graph shifts 8 units right and 7 units down.

The graph shifts 8 units left and 7 units up.

The graph shifts 7 units right and 8 units down.

The graph shifts 7 units left and 8 units up.

Answers

f (x) = (1 / (x-2)) + 1g (x) = (1 / (x + 5)) + 9
 Transformation of functions: 
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 To graph y = f (x) -k, move the graph of k units down.
 Suppose that h> 0
 To graph y = f (x-h), move the graph of h units to the right.
 To graph y = f (x + h), move the graph of h units to the left.

 f (x) = (1 / (x-2)) + 1
 To graph y = f (x) + k, move the graph of k units up.
 h (x) = (1 / (x-2)) + 1 + 8
 To graph y = f (x + h), move the graph of h units to the left.
 g (x) = (1 / (x-2 + 7)) + 1 + 8
 g (x) = (1 / (x + 5)) + 9

 Answer: 
 The graph shifts 7 units left and 8 units up.

what is the solution to the proportion? 3y-8/12 = y/5

Answers

Answer: 40 / 3

Justification:

A proportion is the equality of two ratios.

Your equality is:

3y - 8         y
--------- =   ---
   12           5

That equality is an equation. Now you must solve for y.

These are the steps:

1) Multilpy both sides by 12 * 5

=> 5 (3y - 8) = 12y

2) Expand the parentesis (distributive property)

15y - 40 = 12y

3) Transpose 12 and - 40

15y - 12y = 40

4) Combine the like terms

3y = 40

5) Divide both sides by 3

y = 40 / 3

Answer: y = 40 / 3

Richard records the weight of his two pets in a table, as shown. After how many weeks were the pets the same weight? What was their weight at that time? Pet 1 Week Weight (grams) 0 400 2 800 Pet 2 Week Weight (grams) 0 500 2 700 At 1 week, they both weighed 600 grams. At 2 weeks, they both weighed 500 grams. At 3 weeks, they both weighed 650 grams. At 4 weeks, they both weighed 1,000 grams.

Answers

  Pet 1                                                  Pet 2
0 - 400                                               0 - 500
1 - 600                                               1 - 600
2 - 800                                               2 - 700   
3 - 1000                                             3 - 800

Option A - At 1 week, they both weighed 600 grams. 

Answer:

After week 1 both the pets were having same weights of 600 gms.

Step-by-step explanation:

As given in the question weights of two pets are

Week   weight of pet 1(in gm)     weight of pet 2(in gm)

  0                       400                              500

  1                        600                              600

  2                       800                              700

  3                       1000                             700

In this table weights of the pets at 0 wk and 2 wk has been given only and we have calculated the weights by averaging their weights at 1 and 3 wk.

1). weight at 1 week = (weight at 0 wk + weight at 2 wk)/2

weight of pet 1 = (400+800)/2 = 600 gm

weight of pet 2 = (500 + 700)/2 = 600 gm

2).weight at 2 week = (weight at 1 wk + weight at 3 wk)/2

Therefore weight after 3 week = 2×weight after 2 week - weight after 1 week.

weight of pet 1 = 2×800 - 600 = 1600-600 =1000 gm

weight of pet 2 = 2×700 - 700 = 700 gm.

Now we have got the answer from the table formed that after 1 week both the pets were of same weight 600 gm.

the area of the green square is 9ft squared. the area of the red square is 16ft squared. what is the area of the yellow square

Answers

Answer:

25ft^2

Step-by-step explanation:

9 + 16 = 25

Answer: The answer to this given basic math question about finding the area of the yellow square is 25 feet squared.

Step-by-step explanation: Mmmm, that was easy, so anyway, here is a basic step in order to find the area of the yellow square:

Add green and a red square with the given feet squared that looks in the equation form like this: [tex]9+16=25ft^{2}.[/tex]

I hope that my given short answer with my given short step-by-step explanation is very helpful to your own basic math question about finding the area of the yellow square, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

One owl has a wingspan of 1⁄2 foot. A second owl's wingspan is 3⁄4 foot. How much longer is the wingspan of the second owl?

Answers

To find the second owl's wingspan, we need to subtract 1/2 from 3/4.

First, we'll need to find the common denominator:

1/2 = 2/4

Then, we can subtract.

3/4 - 2/4 = 1/4

With this, we now know that 1/4 is the answer.

The wingspan of the second owl is 3 inches longer than that of the first owl.

The question asks to find out how much longer the wingspan of the second owl is compared to the first owl. The first owl has a wingspan of 1/2 foot, while the second owl has a wingspan of 3/4 foot. To find the difference in wingspan, we subtract the first owl's wingspan from the second owl's wingspan:

3/4 foot - 1/2 foot = 2/4 foot - 1/2 foot = 2/4 foot - 2/4 foot = 1/4 foot.

Since there are 12 inches in a foot, we can convert this difference to inches:

1/4 foot times 12 inches/foot = 3 inches.

Help me I don’t get this!!!

Answers

101 yeo don't venture know

Rectangle FGHJ is transformed according to the rule T(–3, –2)ry = x. What is the y-coordinate of J”?

Answers

we have that
 the point J (10,-6)
the rule is-----------(x,y)-------------------> (x-3, y-2)
therefore
J (10,-6)----------------- > (10-3,-6-2)--------> (7,-8)

the answer is 
the y-coordinate of J” is -8

Answer:

The y-coordinate of J'' is 8.

Step-by-step explanation:

The given rule of transformation is

[tex]T(-3,-2)r_{y=x}[/tex]

It means, first the figure is reflected across the line y=x and then translated by the rule T(-3,-2).

From the given figure it is clear that the coordinates of point J are (10,-6).

If a figure is reflected across the line y=x, then

[tex](x,y)\rightarrow (y,x)[/tex]

The coordinate of point J'.

[tex]J(10,-6)\rightarrow J'(-6,10)[/tex]

If a figure is translate by the rule T(-3,-2), then

[tex](x,y)\rightarrow (x-3,x-2)[/tex]

The coordinate of point J''.

[tex]J'(-6,10)\rightarrow J''(-6-3,10-2)=J''(-9,8)[/tex]

Therefore the y-coordinate of J'' is 8.

Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase or decrease per time period.

y=100(1.05)^t

Plz help!

Answers

See also https://brainly.com/question/8975313

The growth factor is 1.05.

The increase is (1.05 -1)*100% = 5% per period.

A family size container of macaroni holds sixteen 3/4 cup servings. A chef prepares meals using 1-cup bowls. How many bowls can the chef prepare from one family sized container?

Answers

Determine total # of cups in the container.

= 16 servings * 3/4 cups
= (16*3)/4
= 48/4
= 12 cups

Since the container holds 12 1-cup servings, the chef can prepare 12 1-cup servings.

Hope this helps! :)

Answer:

The answer is 12 cups.

Step-by-step explanation:

A family size container of macaroni holds 16 [tex]\frac{3}{4}[/tex] cup servings.

A chef prepares meals using 1-cup bowls.

So, the number of bowls, the chef can prepare from one family sized container is = [tex]16\times\frac{3}{4}[/tex]

= [tex]4\times3=12[/tex] bowls

Therefore, the answer is 12 cups.

Keith had 1 1/2 cups of flour.he used 5 2/3 cups to make bread.How many cups of flour does Keith have left

Answers

If Keith had 1 1/2 cups, he can't use 5 2/3 cups. He cant use more than what he had. There is error in this question.

(-7/8)(-3/4)

A:6/7

B:-21/32

C:21/32

Answers

the answer is C
I pretty sure
c is the correct answer

What values of c and d make the equation true? mc011-1.jpg c = 2, d = 2 c = 2, d = 4 c = 6, d = 2 c = 6, d = 4

Answers

If the equation is ∛(162x^cy^5) = 3x²y(∛(6y^d)
We can simplify the equation by first cubing both sides
            = 162x^cy^5 = (27x^6y^3)6y^d
            = 162x^cy^5 = 162 x^6y^3y^d
dividing both sides by 162
           = x^cy^5 =x^6y^3y^d
      equating the values with similar bases
   x^c = x^6, therefore c=6
and y^5=y^3y^d
        y ^5 = y^(3+d)
hence, 5 = 3+d
thus, d= 2
Therefore, the values of d and c that will satisfy the equation are, c =6 and d=2 

The answer is C.

c=6  d=2

What is the answer I need help now!!!!

Answers

When flipping a coin, you will either land on heads or tails. That being said, the probability of landing on either side is 50% as only 1 of 2 outcomes are possible.
The probability of heads is 0.50, or 50%.

I hope this helps!

based on the given information ,which statement best explains whether the quadrilateral is a parallelogram

Answers

It would be A. It cannot be determined from the information given

Answer:

the answer is (it cannot be determined from the information given)

NEED HELP ASAP!

simplify the radical expression State any restrictions (n^4 -11n^2 +30) / (n^4 -7n^2 +10)

Please show steps!

Answers

-Factor the expressions


-reduce

-then simplify the product 
(n-squareof 6) x (n+sqaureof 6) / (n-sqaureof2) x (n+squareof 2) 

and your answer will be 
n^2-6 / n^2-2


Answer:

screenshot shows the answer but: n^2-6/n^2-2

Step-by-step explanation:

n^4-11n^2+30/n^4-7n^2+10
simplify the numerator
rewrite n^4 as (n^2)^2
and let u substititue for all occurences of n^2
u^2-11y+30/n^4-7n^2+10
factor u^2 - 11u+30 using the AC method.
(u-6)(u-5)/n^4-7n^2+10

(n^2-6)(n^2-5)/(n^2-5(n^2-2)

Cancel the common factor, and n^2-6/n^2-2 is your answer.

Excluded values/restrictions are n= -sqrt5 n= -sqrt2, also n= sqrt5 n= sqrt2

What are the asymptotes of the graph of f(x) ?

Answers

when you graph the equation the horizontal line is on Y=0 & 20

 answer y=0 & Y=20

What makes a parallelogram, a square, a rhombus, a rectangle, a kite and a trapezoid unique?

Answers

Parallelogram: It is a quadrilateral where both pairs of opposite sides are parallel.

Square: All sides are congruent.

Rhombus: Is a four-sided shape where all sides have equal length. Also opposite sides are parallel and opposite angles are equal.

Rectangle: It is a quadrilateral which has two pairs of parallel and equal sides. It is also a parallelogram with its all four internal angles equal to right angles.

Kite: Is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

Trapezoid: Has a pair of parallel sides. is an Isosceles trapezoid when both angles coming from a parallel side are equal, and the sides that aren't parallel are equal in length

Which conversion requires multiplication?

A. Deciliter to liter
B. Liter to kiloliter
C. Kiloliter to liter
D. Milliliter to centiliter

Answers

With metric measurements, the prefixes in order from smallest to largest are:
milli-, centi-, deci-, unit, deca-, hecto-, kilo-.
Converting from the left to right (from smallest to largest) means you divide to get your answer.
Converting from the right to the left (from largest to smallest) means you multiply to get your answer.  Deciliter to liter goes from left to right, so that would be division.  Liter to kiloliter goes from left to right, so it is division.  Kiloliter to liter goes from right to left, so it is multiplication.  Milliliter to centiliter goes from left to right, so it is division.

Answer:

I believe it is B

Step-by-step explanation:

Find the sum of the first thirty consecutive whole numbers.

Answers

The sum of the first thirty consecutive whole numbers can be represented by the following series

[tex] 0+1+2+3+4+....+29\\ \\Sum \; of\; first \; 30\; whole \; numbers\; =\; Sum\; of\; first \; 29\; Natural\; Numbers\\ \\1+2+3+4+...+29 \\ \\ Formula\\ 1+2+3+....+n=\frac{n(n+1)}{2} \\ \\ Substituting\; 29\; for\; n,\; we\; get...\\ \\ 1+2+3+4+...+29=\frac{29(30)}{2}=29 \times 15=435 [/tex]

Conclusion:

The sum of the first thirty consecutive whole numbers is 435.

Answer:

435

Step-by-step explanation:

The gouse method or something.

(29*30)/2=435

Can you solve an angle measures 36° more than the measure of a complementary angle. what is the measure of each angle

Answers

 I'm reading this as ..... 36o more then the measure of its complementary angle.
x = 90 - x + 36 add 90 and 36 together.
x = 126 - x Add x to both sides.
2x = 126
x = 126 /2
x = 63

The complementary angle is 90 - 63 = 27
The question is is 63 36 bigger than 27

27 + 36 = 63 and the angles are
Answer 27o and 63o

Please help What is the value of d?

Answers

Rule: with any inscribed quadrilateral, the opposite angles are supplementary (they add to 180 degrees)

Based on that rule, we can say
d+100 = 180
d+100-100 = 180-100
d = 80

Answer: 80

What is the answer for A?

Larissa wants to inscribe a regular hexagon in a circle using only a compass and straightedge. She will construct a circle and finds its center. She will then perform the following steps.

Step 1: Plot a point on the circle to represent a vertex of the hexagon. Place the compass on this point and draw an arc to cut the circle. This represents the next vertex of the hexagon.
Step 2: Without adjusting the width of the compass, place the compass on this vertex and draw an arc to create the next vertex.
Step 3: Repeat the process to get a total of 6 vertices.
Step 4: Draw a line between successive pairs of vertices to form the regular hexagon.

What is the error in Larissa's construction?

A. She did not change the width of the compass when constructing the different vertices.
B. She did not set the width of the compass to the radius of the circle.
C. She did not set the width of the compass to the diameter of the circle.
D. She did not construct two perpendicular bisectors to construct two diameters of the circle.

Answers

Answer: option B. She did not set the width of the compass to the radius of the circle.

Explanation:

1) If she sets the compass to an arbitrary width to draw the arc to cut the circle, the point obtained will not be to the right distance from the first vertex.

2) All the adjacent vertices on a regular polygon have the same distance one from each other.

3) In the hexagon that distance is the same radius, which you can see becasue you can form six equilateral triangles inside the circle, whose side lengths are the radius.

4) So, she should set the width of the compass to the radius of the circle.

Charlotte bought packs of hot dogs for $4 each. Eack pack has 8 hot dogs. If she spent $16 how many hot dogs did she get

Answers

Charlotte bought 32 hot dogs for $16 a pack
32 hotdogs
16/4=4
8*4=32

what is the answer im so confused

Answers

The correct answer is $70

Answer:

Step-by-step explanation:

their income for the month of may is $3500

2% of this income was spent on movies

2% of $3500 = 2/100 × 3500

=0.02 ×3500

= $70

Jayce’s insurance company pays for 90% of the cost of an ambulance ride, after he pays a $250 deductible. The ambulance ride costs $1400. How much would Jayce pay for an ambulance ride?

Answers

To answer this question you would subtract the $250 deductible from $1400. The answer would be $1150 remaining After the deductible. You would then pay 10% of this $1150 for your cost. 0.10 times $1150 =$115. Add the $115 to the $250 deductible and your total cost would be $365.

The amount which would Jayce pay for an ambulance ride for the claim to the Jayce’s insurance company is $365.

What is deductible amount?

The deductible amount is the amount which has to be paid by the customer against an insurance lost.

This amount is subtracted from the insurance amount, which one is claimed against the claim.

Jayce’s insurance company pays for 90% of the cost of an ambulance ride, after he pays a $250 deductible.

As the ambulance ride costs $1400. Thus the ambulance cost after the deductible is,

[tex]C=1400-250\\C=1150[/tex]

Here, the Jayce’s insurance company pays for 90% of the cost of an ambulance ride. Thus, the 10 percent amount should be pay by the Jayce's.

Now, the amount which is left after the insurance company paid to Jayce's is,

[tex]A=\dfrac{10}{100}\times1150\\A=115[/tex]

Hence, the total amount paid by Jayce is,

[tex]A=115+250\\A=365[/tex]

Hence, the amount which would Jayce pay for an ambulance ride for the claim to the Jayce’s insurance company is $365.

Learn more about the deductible here;

https://brainly.com/question/5306277

PLEASE HELP!!!!!
TIME SENSITIVE! Will mark brainliest!

Part 1.] Match the following items.
1. 2, 4, 8, 16, . . ., 64
2. 3, 6, 9, 12, . . .
3. 3 + 9 + 27 + 81 + . . .
4. 3 + 5 + 7 + 9 + . . .
5. 3, -3, 3, -3, 3,-3, . . .
A. arithmetic series
B. finite sequence
C. infinite sequence
D. geometric series
E. alternating sequence

Part 2.]-3, 6, -9, 12, -15, . . .
Which of the following represents the general term for the sequence given?
A. [tex] (-1)^{n} 3^{n} [/tex]
B. [tex] (-1)^{n} 3n[/tex]
C. [tex] (-1)^{n+1}3[/tex]

Part 3.] The first attached picture
A. 35
B. 14
C. 11

Part 4.] The second attached picture
A. 6
B. 9
C. 18

Part 5.] The third attached picture
A. 10
B. 14
C. 28

Part 6.] Which of the following best describes the following set of numbers?
6+8+10+12+...+(4+2n)+...
A. Arithmetic Sequence
B. Geometric Series
C. Geometric Sequence
D. Arithmetic Series

Answers

we have that

   Part 1.] Match the following items.   
1. 2, 4, 8, 16, . . ., 64---------- > B. finite sequence
2. 3, 6, 9, 12, . . . ------------- > C. infinite sequence
3. 3 + 9 + 27 + 81 + . . .------> D. geometric series
4. 3 + 5 + 7 + 9 + . . .----------> A. arithmetic series
5. 3, -3, 3, -3, 3,-3, . . .-------- >E. alternating sequence

  Part 2.]-3, 6, -9, 12, -15, . . .
Which of the following represents the general term for the sequence given?
A. (-1^n)*(3^n)
for n=1-----------> (-1^1)*(3^1)=-3
for n=2-----------> (-1^2)*(3^2)=9 -------------- a2=6 no represents

B. (-1^n)*(3n)
for n=1-----------> (-1^1)*(3*1)=-3
for n=2-----------> (-1^2)*(3*2)=6
for n=3-----------> (-1^3)*(3*3)=-9
for n=4-----------> (-1^4)*(3*4)=12
for n=5-----------> (-1^5)*(3*5)=-15

C. (-1^(n+1))*(3)
for n=1-----------> (-1^(1+1))*(3)=3---------- > a1=-3 no represents

the answer part B is option B. (-1^n)*(3n)

Part 3.] The first attached picture

Σ (2n+1)  for n=1 to 5
n1---------> (2*1+1)=3
n2---------> (2*2+1)=5
n3---------> (2*3+1)=7
n4---------> (2*4+1)=9
n5---------> (2*5+1)=11
Σ (2n+1)  for n=1 to 5=[3+5+7+9+11]=35

the answer part C is 35

Part 4.] The second attached picture

Σ (3n)  for n=1 to 3
n1---------> (3*1)=3
n2---------> (3*2)=6
n3---------> (3*3)=9
Σ (3n)  for n=1 to 3=[3+6+9]=18

the answer part 4 is 18

Part 5.] The third attached picture
Σ (2n+2)  for n=1 to 4
n1---------> (2*1+2)=4
n2---------> (2*2+2)=6
n3---------> (2*3+2)=8
n4---------> (2*4+2)=10
Σ (2n+2)  for n=1 to 4=[4+6+8+10]=28

the answer part 5 is 28

Part 6.] Which of the following best describes the following set of numbers?
6+8+10+12+...+(4+2n)+...
8-6=2
10-8=2
12-10=2
the next number is obtained by adding 2 to the previous number
this is an  Arithmetic Series

the answer is the option D. Arithmetic Series

Your Turn: In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.

Answers

answer is 6.5 as the two triangles are similar

Your Turn: In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.

Solution:

In ΔABX and ΔCDX,

∠CDX=∠ABX=90°

Also,∠CXD=∠AXB (as shown in figure)

∠DCX=∠BAX, as two angles of the triangle are equal. The third angle is also equal.

So ΔCDX≈ΔABX

Hence, the ratio of sides must be equal.

[tex] \frac{CD}{AB} =\frac{DX}{BX} =\frac{CX}{AX} [/tex]

Now, using,

[tex] \frac{CD}{AB} =\frac{DX}{BX} [/tex]

[tex] \frac{CD}{AB=12} =\frac{DX=2.5}{BX=5} [/tex]

[tex] \frac{CD}{12} =\frac{2.5}{5} [/tex]

Now, To solve for CD, Let us multiply by 12 on both sides

[tex] \frac{12*CD}{12} =\frac{12*2.5}{5} [/tex]

[tex] \frac{1*CD}{1} =\frac{30}{5} [/tex]

[tex] CD =\frac{6}{1} [/tex]

CD=6 Answer

What is the area of the triangle whose vertices are (0,0), (3,0) and (0,4)?

Answers

Answer: 6

Since one of the points is at the origin, then you can take the number point on the x axis and multiply it by the point on the y axis, and you get 12. To find the area of a triangle, you must use base x height divided by 2. Divide 12 by 2 to get 6. 

Hope this helped!
9 6is very wrong it is 9nine

You survey 67 employees, and 30 respond that their job satisfaction is high. What percentage of your employees have high job satisfaction?

Answers

30/67 x 100 = 44.78%

Answer:

Percentage of employees have high satifaction of tthe job = 44.78%

Explanation:

In a company there are 67 employees

after survey only 30 employees give the high satisfaction feedback.

So, percentage of employess have high job satisfaction = [tex] \frac{Survey result}{Total employees} *100
[/tex]

= [tex] \frac{30}{67}*100 [/tex]

= 0.44776*100

= 44.78% Final answer

What is the approximate volume of the cone? Use 3.14 for π . 1206 cm³ 2170 cm³ 3260 cm³ 6510 cm³ Outline of cone with a dotted line rising from middle of base to the point. Line is labeled 8 cm. A second dotted line extends horizontally from middle of base to its edge. Line is labeled 12 cm.

Answers

The volume of a cone is given by the formula [tex]V=\frac{1}{3} \pi r^2 h[/tex], where r is the radius and h is the height. The horizontal dotted line from the center of the base circle to the outside edge would be the radius, so that would be 12 cm.  The vertical dotted line from the center of the base to the point of the cone would be the height, so that would be 8 cm.  We substitute these values into our formula:
[tex]V=\frac{1}{3} \pi (12^2)(8)[/tex]
Substituting 3.14 for pi we have:
[tex]V=\frac{1}{3}(3.14)(12^2)(8) = 1205.76 \text{cm}^3[/tex]

The required approximate value volume of the cone is v =  1206 `cm³.

Given that the Height of the cone = 8 m

The Radius of the cone =  12 m

We have to find,The approximate volume of the cone .

What is the  volume of a cone?

The volume of a cone is equal to one-third of the volume of a cylinder having the same base radius and height.

Where V is the volume, r is the radius and h is the height.

The volume of the cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

Where, π = 3.14

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\\\\ V = \dfrac{1}{3} \pi (8)^3 (12) \: \rm unit^3[/tex]

V = 1206 cm³

Hence, The required approximate value volume of the cone is v =  1206 `cm³

For the more information about Volume of the cone click the link given below.

brainly.com/question/15171467

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What does it mean that baptism is a sacrament of faith? The most important effect of the amendments that have been added to the Constitution since the Civil War has been thatA. more people are eligible to become citizensB. more people are involved in the political processC. more people immigrate to the United States each yearD. more people are eligible to run for president During which Kingdom were Buddhist sculptures produced, and what style did they emulate? Approximately how much of the energy available in the tissues of the producer is eventually incorporated into the tissues of a secondary consumer? If the cubic function P(x) includes the points (4, 0), (0, 0), and (2, 0), which of the following represents this function? Find the principal square root of each expression. Show your work. Why was wegener's idea of continental drift rejected? it implied that the continents would have plowed their way through weaker oceanic crust, like a boat cutting through a thin layer of sea ice? How does the imperialistic attitude fit the meaning of the proverb, "Speak softly and carry a big stick"? what information does a free-body diagram show? What are the pros and cons of lobbying? Weight Gain after gaining 25 pounds, a person is 115 pounds lighter than double his previous weight. How much did the person weigh before gaining 25 pounds? How could I write this problem What is an externality?a side effect of a good or service generating benefits or costs to someone who doesnt decide how much to produce or consumesomeone who would choose to pay for a certain good or service but does not get the benefits of it if provided as a public goodsomeone who wouldnt choose to pay for a certain good or service but whod get the benefits of it anyway if provided as a public gooda shared good or service for which it would be impractical to make consumers pay individually and to exclude nonpayers Sara measured the amount of potassium nitrate (KNO3) that could be dissolved in 100 grams of water at different temperatures. She repeated the test five times. The data from Sara's experiment is listed in the table below.Which of the following is the best inference Sara could make based on her data? A president can be impeached for all of the following reasons except Help pleasee just number 5 Meiosis is different from the process shown because, during meiosis, 29,39,59 and 79. What is the composite number Carrie's Catering is having a special on their box lunches. The minimum purchase is 13 boxes for $91. Each additional box is $5. If x represents the number of boxes over the minimum, which of the following equations represents the cost of box lunches during this special? What is the degree of the polynomial a4 + b3 - 2ab + c? Henry lives in Mississippi, which has a sales tax of 7%. He just bought a bed whose full price was $1600, but he got 30% off, because the store was having a sale. What was the total amount that Henry paid?A.) $1120.00B.) $1198.40C.) $1934.40D.) $1712.00