proof: fill in the reasons for the proof

Proof: Fill In The Reasons For The Proof

Answers

Answer 1

∠1≅∠2 if RECT is the rectangle and M is the midpoint of EC.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

RECT is the rectangle and M is the midpoint of EC.

we need to prove angle one is congruent to angle two.

By given,RECT is the rectangle and M is the midpoint of EC.

∠E≅∠C

In the rectangle all the angles are 90 degrees.

∠EM≅∠MC.

As M is midpoint, it has equidistant from E and C.

ER≅CT both sides are congruent.

ΔERM≅ΔCTM both are similar triangles.

RM≅TM both sides are congruent.

∠1≅∠2 by SAS postulate.

Hence, RECT is the rectangle and M is the midpoint of EC then ∠1≅∠2

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1


Related Questions

PLEASE HELP MEEEEEEEEEEEEEEE

Answers

Answer:

Step-by-step explanation:

(-1 - 3)/(3 - 0) = -4/3

y - 3 = -4/3(x - 0)

y - 3 = -4/3x + 0

y = -4/3x + 3

x+6/-2= 5
what is x ​

Answers

Answer:

Step-by-step explanation:

x - 3 = 5

(x -3) +3 = 5+3

x - 3 + 3 = 8

so,

x = 8

The census bureau gives this distribution for the number of a family household's related children under the age of 1818 in american households in 2016: number of children 00 11 22 33 44 proportion 0. 580. 58 0. 180. 18 0. 160. 16 0. 60. 06 0. 20. 02 in this table, 44 actually represents four or more (the census bureau does not provide separate information on households with 5,5, 6,6, or more children under the age of 18). 18). But for purposes of this exercise, assume that it means only households with exactly four children under the age of 18. 18. This is also the probability distribution for the number of children under 1818 in a randomly chosen household. The expected value of this distribution is the average number of children under 1818 in a household. What is this expected value? (use decimal notation. Give your answer as an exact number. )

Answers

The average number of children in a family under the age of 1818 is 0.76, which is the predicted value of this distribution.

The product of each potential result and its associated probability yields the anticipated value of a probability distribution. The probable outcomes in this scenario are 0, 1, 2, 3, & 4 minors, with the associated probability shown in the table.

We may add the products of each result and its probability to determine the estimated return of this distribution:

Expected value = (0)(0.58) + (1)(0.18) + (2)(0.16) + (3)(0.06) + (4)(0.02)

= 0 + 0.18 + 0.32 + 0.18 + 0.08

= 0.76

Therefore, 0.76 children below the age of 18 per household are the anticipated value of this distribution.

Learn more about the probability distribution at

https://brainly.com/question/14210034

#SPJ4

sketch the region enclosed by the given curves. y = 4/x, y = 16x, y = 1 16 x, x > 0

Answers

In order to plot the region enclosed by the given graphs we have to find the intersection points of all the 3 graphs taking 2 at a time

so finding intersection point of the y=4/x and y=16x

4/x=16x

=> [tex]x^{2}[/tex] = 1/4

=> x = 1/2 as x>0

and y=16x

=> y =8

now finding intersection point of y=4/x and y=1/16x

=> 4/x =x/16

=> [tex]x^{2}[/tex] = 64

=> x = 8 as x>0

and y= 4/x

=> y=1/2

now finding intersection point of y=16x and y=1/16x

the intersection point of both line is x=0

so y=16x

=> y=0

so we will get the intersection point of all the lines now after plotting all the points below we will get the graph as attached below.

To know more about intersection point click on below link:

https://brainly.com/question/14217061#

#SPJ4

please help asap i have 2 days​

Answers

Answer:

first option

Step-by-step explanation:

inequalities of the type | x | > a have solutions of the form

x < - a or x > a

given

| 7 + m | - 4 > 8 ( add 4 to both sides )

| 7 + m | > 12

then

7 + m < - 12 (subtract 7 from both sides )

m < - 19

OR

7 + m > 12 ( subtract 7 from both sides )

m > 5

solution is m > 5 or m < - 19

A person invests 10000 dollars in a bank. The bank pays 6.5% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 29500 dollars?

Answers

Answer: 3000 years

Step-by-step explanation:

Let y be the number of money and x be the number of years

So we have the equation

y= 6.5x + 10000

Now we put 29500 in the y

29500 = 6.5x + 10000

Subtracted 10000 from both sides

19500 = 6.5x

Divided both sides by 6.5

x = 3000 years

Select the correct answer. Circle F is represented by the equation (x + 6)2 + (y + 8)2 = 9. What is the length of the radius of circle F? A. 3 B. 9 C. 10 D. 81

Answers

Considering a circle whose equation is (x + 6)² + (y + 8)²  = 9. The radius of the circle is 3 units

How to determine the radius of the circle

Information given in the question

Circle F is represented by the equation (x + 6)² + (y + 8)²  = 9

Equation of a circle is given as

(x - h)² (y - k)² = r²

The equation of the circle is written in standard form is sown above comparing the equation with the given question gives

rewriting the equation

(x + 6)² + (y + 8)²  = 9

(x + 6)² + (y + 8)²  = 3²

comparing shows that r = 3

Learn more about equation of a circle at:

https://brainly.com/question/29324404

#SPJ1

(federal income taxes and piecewise functions mc) determine f(−2) for a piecewise function f of x in three pieces. the function is defined by part 1, which is x cubed for x less than negative 3, part 2, which is 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4, and part 3 which is 5 times x plus 4, for x greater than or equal to 4. −1 −6 8 9

Answers

Answer:

9

Step-by-step explanation:

In problem 3, the wind blows harder and the top of the
balloon is now 15 feet over from the stake. What is the
height of the balloon now? Draw a diagram to help you
solve the problem and explain your answer.

Answers

To solve this problem, we can use the Pythagorean theorem to find the height of the balloon. In particular, we can consider the right triangle formed by the stake, the top of the balloon, and the part of the string that is attached to the stake.

[asy]

unitsize(2 cm);

pair A, B, C, D, E;

A = (0,0);

B = (0,15);

C = extension(A,B,A+(1,0),B+(1,0));

D = extension(A,C,A+(0,1),C+(0,1));

E = extension(B,D,B+(0,-1),D+(0,-1));

draw(A--B--C--cycle);

draw(A--D--E--cycle);

draw(rightanglemark(A,D,C,2));

label("$A$", A, S);

label("$B$", B, N);

label("$C$", C, E);

label("$D$", D, E);

label("$E$", E, W);

[/asy]

Let $a$ be the distance from the stake to the top of the balloon, $b$ be the height of the balloon, and $c$ be the length of the string. We know that $a = 15$ feet and $c = 15$ feet, so we can use the Pythagorean theorem to find $b$:

$a^2 + b^2 = c^2$

$15^2 + b^2 = 15^2$

$225 + b^2 = 225$

$b^2 = 0$

$b = \sqrt{0} = 0$ feet

Therefore, the height of the balloon is 0 feet. This is because the balloon has been pulled up by the wind so that its top is directly above the stake, and therefore its height is 0 feet.

Select the correct anwer. What i the value of thi expreion when c = -4 and d = 10?
A. 2
B. 9
C. 21
D. 41
Reet

Answers

The expression be 1/4(c³+ d²) then the value exists 9.

What is meant by PEMDAS order of operations?

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication and division (left to right), addition and subtraction (from left to right).

The rules that specify the order in which we should perform several operations to solve an expression are known as the order of operations.

Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are in the following order: PEMDAS (from left to right).

Let the given expression be 1/4(c³+ d²)

The value of c = -4 and d = 10

substitute the values in the above equation, we get

Follow the PEMDAS order of operations

Calculate within parentheses  ((-4)³ + (10)²) = 36

1/4((-4)³ + (10)²)

simplifying the above equation, we get

= 1/4 × 36

= 9

Therefore, the correct answer is option B. 9.

The complete question is:

What is the value of this expression when c = -4 and d = 10?

1/4(c³+ d²)

A. 2

B. 9

C. 21

D. 41

To learn more about expression refer to;

https://brainly.com/question/723406

#SPJ1

Diego is making sandwiches for a picnic. He uses 2 slices of cheese to make each sandwich,
and he has a package of cheese with 24 slices.
Write an equation that shows how the number of slices of cheese remaining, y, depends on
the number of sandwiches Diego makes, x.

Answers

Answer:

y = 24

y = 2x

           

Find the length of the diagonal triangle using pythagoras theorem.given / = 8cm b=6cm

Answers

Answer: 10 cm

Step-by-step explanation:

Given, length=8cm

breadth=6 cm

Pythagoras theorem states that sum of square of base and square of perpendicular height is equal to square of hypotnyse.

Thus, we can write:

Considering, base=length=8cm

Perpendicular=breadth=6cm

Therefore, length of diagonal =√(length∧2+breadth∧2)

                                                 =√(8∧2+6∧2) cm

                                                = 10 cm

Therefore the length of diagonal = 10cm.

For further references on Pythagoras theorem refer to:

brainly.com/question/15799348

Determine which answer in the solution set will make the equation true.

4f − 10 = 3f − 18

S: {−18, −8, 3, 8}

A. −8
B. 8
C. −18
D. 3

Answers

The answer in the solution set that makes 4f − 10 = 3f − 18 true is (a) -8

How to determine the answer in the solution set?

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

4f − 10 = 3f − 18

And we have the solution set to be

S: {−18, −8, 3, 8}

Subtract 3f from both sides of the equation

So, we have the following representation

f - 10 = - 18

Add 10 to both sides of the equation

This gives

f = -8

Hence, the solution is (a) -8

Read more about equations at

https://brainly.com/question/2476251

#SPJ1

For the data in the table, does y vary directly with x? If it does, write an equation for the
direct variation.
x y
8 11
16 22
24 33

Answers

Answer:

Below in bold.

Step-by-step explanation:

The definition of direct variation is  y = kx where k is a constant.

So, if y/x is a constant for the data, we have direct variation.

So, checking the rows in the given table:

y/x = 11/8

y/x = 22/16 = 11/8

y/x = 33/24 = 11/8

- we see that this is direct variation.

So, k = 11/8 and

The equation is

y = (11/8) x

or

y = 11x/8

or

y = 1.375x  in decimal form.

Answer:

y = (11/8)x

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

Direct variation equation:

y = kx, where k- variation coefficient

Use the pairs of coordinates and find the value of k, then compare:

11 = 8k ⇒ k = 11/822 = 16k ⇒ k = 22/16 = 11/833 = 24k ⇒ k = 33/24 = 11/8

The value of k is same with all ordered pairs and the equation is:

y = (11/8)x

Given the piont and slope write the equation of the line 4,2 slope = 3

Answers

Answer:

I am not sure which form you want.

Points slope: y -2  = 3(x -4)

Slope intercept:  y = 3x -10

Step-by-step explanation:

Point slope form for the line

y- y = m(x -x)  

slope of 3 and the point (4,2)  Use 4 for x and 2 for y

y -2  = 3(x -4)

Slope intercept form of a line

y = mx + b

2 = 3(4) + b

2 = 12 + b  Subtract 12 from both sides

2 - 12 = 12 - 12 + b

-10 = b

y = mx + b

y = 3x -10

a deck is shuffled well, what is the probability that the top card is ace of spades and the bottom is queen of hearts?

Answers

The probability that the top card is an Ace of Spades and the bottom card is a Queen of Hearts is extremely low, as there are 52 cards in a standard deck of cards and only two of those cards are an Ace of Spades and a Queen of Hearts.

Therefore, the probability of the top card being an Ace of Spades and the bottom card being a Queen of Hearts is 1/2652 or approximately 0.000038%.The probability of getting an Ace of Spades as the top card and a Queen of Hearts as the bottom card is 1/52 x 1/52 = 1/2652. This can be expressed as a percentage by multiplying the fraction by 100 which gives us 0.000038%. The probability that the top card is an Ace of Spades and the bottom card is a Queen of Hearts is extremely low, as there are 52 cards in a standard deck of cards and only two of those cards are an Ace of Spades and a Queen of Hearts.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Autumn has a smart phone data plan that costs $50 per month that includes 9 GB of data, but will charge an extra $10 per GB over the included amount. How much would Autumn have to pay in a month where she used 3 GB over the limit? How much would Autumn have to pay in a month where she used went over by xx GB?

Answers

Answer:

1. $80 dollars for the month she used 3 GB over her data limit.

2. 10x + 50.

Explanation:

1. Autumn used 3 GB data more than her plan offered. $10 dollars a gigabyte of data times 3 gigabytes equals 30, plus 50 dollars for the base smartphone plan (which, off topic, sucks) equals 80 dollars for the month.

2. 10x + 50 means 10 dollars per X gigabytes, plus the base 50 dollars a month Autumn has to pay.

help please struggling

Answers

Answer:

Step-by-step explanation:

There are just two triangles stuck together , here.  Don't let that throw you off your game :DD  

solve for a

then b

for a it's  180 = 2*36 +a   ( b/c of the red marks , again)

180 = 72 +a

180-72 =a

108 = a

Now solve for b

180 = 2b + 42  (red marks tell us this formula works,  again)

180-42 = 2b

138 =2b

138/2 =b

69 = b

Do you see , now,  how I get those formulas???

Lin is selling boxes of cookies. Each box costs $3.75. Lin's goal is to earn more than $30 selling cookies.

If Lin sells b, boxes of cookies, write an inequality (using symbol < or >) that will be true whenever Lin makes her goal.

NEED ASAP!!

Answers

Answer: If Lin sells b boxes of cookies, she will earn 3.75b dollars. Therefore, the inequality that will be true whenever Lin makes her goal is:

3.75b > 30

This inequality can be read as "the total amount of money Lin earns selling cookies is greater than $30."

Step-by-step explanation:

If you have an average of 31 and you have the numbers 63,53,20,10, what is the missing value?

Answers

Answer: 9

Step-by-step explanation:

Let's start with what we know. If we have the data set:
63, 53, 20, 10, x

The average is:

(63+53+20+10+x)/5 = 31

We multiply both sides by 5

(65+53+20+10) = 155

146 + x = 155

x = 9

helppp please i dont know how to do this​

Answers

The solution of the pairs of lines are as follows,
(1) Line 1 and line 2 are perpendicular to each other.
(2) Line 1 and line 3 are parallel to each other.
(3) Line 2 and line 3 are perpendicular to each other.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Calculate the slope of each line,

LIne 1
3y = 2x + 5
y = 2/3x + 5/3
Compared with the standard equation of line y = mx + c,

Slope m = 2/3
Similarly.
The slope of line 2 = -3/2
The slope of line 3 = 2/3

Now. properties of pair of lines state that the slope of parallel lines is equal and the slope of perpendicular lines are negative reciprocal of each other,
So
Slope of line 1 = slope of line 3
But,
The slope of line 2 is the negative reciprocal of the slope of lines 1 and 3.

Thus, the solution of the pair of lines has been shown above.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ1


A water balloon is thrown upward from a height of 5 feet with an initial velocity of 35 feet per second. The quadratic function \large h\left(t\right)=-16t^2+35t+5 represents the height of the balloon, h, in feet t seconds after it is thrown. When does the water balloon reach the height of 20 feet? round your answer to the nearest thousandth.

Answers

Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.

What do you mean by equation?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

What is initial and final velocity?

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

initial height = 5

final height =20

height to travel =20-5 =15

[tex]15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0[/tex]

solving we get, t = 0.255 or -2.44

since, -2.44 is not possible,

t = 0.255 seconds.

To learn more about motion visit:

https://brainly.com/question/27102563

#SPJ4

make this graph into y=mx+b form​

Answers

Answer: y=-3x-5

Step-by-step explanation:

(0,-5)   (-1,-2)

[tex]\displaystyle\\\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1}[/tex]

x₁=0     x₂=-1     y₁=-5    y₂=-2

[tex]\displaystyle\\\frac{x-0}{-1-0}=\frac{y-(-5)}{-2-(-5)} \\\\\frac{x}{-1} =\frac{y+5}{-2+5} \\\\-x=\frac{y+5}{3}[/tex]

Multiply both parts of the equation by 3:

[tex]-3x=y+5\\\\-3x-5=y+5-5\\\\-3x-5=y[/tex]

[tex]Thus,\ y=-3x-5[/tex]

The cost of 4 avocados and 5 tomatoes is $3.76. Six avocados and 3 tomatoes cost $4,02. Find the cost of each avocado and each tomatoe.

Answers

Answer:

It costs $0.49 for each avocado and $0.36 for each tomato.

Step-by-step explanation:

This is a system of equations problem.

Let x represent the avocados and y represent tomatoes:

4x + 5y = 3.76  <--- scenario 1

6x + 3y = 4.02 <---- scenario 2

If we graph these out on a graphing calculator, the lines will intersept at point (0.49,0.36)

The x coordinate represents how much it costs for each avacado and the y coordinate represents how much it costs for each tomato

Urgent help guysssss

Answers

Answer: A

Step-by-step explanation:

if we repeatedly and infinitely take random samples of size n from a population, what will the distribution of the sample means look like?

Answers

When n is large the distribution of the sample means will approach a normal distribution.

The central limit theorem (CLT) is a statistical theory that predicts that given a large enough sample size from a population with a certain level of variation, the mean of all the samples from that population will be close to the population mean.

To put it another way, the central limit theorem predicts with absolute certainty the form of the distribution of means when we take repeated samples from a certain population. In particular, the distribution of means derived from repeated sampling will tend toward normality as sample sizes increase.

In other words, when n is large, the distribution of the sample means will resemble a normal distribution if we continually pick independent, random samples of size n from any population.

Know more about population at:

https://brainly.com/question/25896797

#SPJ4

1. Is the relation on the right a function? Explain.




2. Can you state the domain and range of a relation that is not a function? If yes, what is the domain and range of the relation on the right?




3. Angelo states that all functions are relations but not all relations are functions. Do you agree with Angelo? Support your answer using an example.

Answers

1) The relation in the right is not a function.

2) domain

D: {-60, 20, 70}

range

R: {-6, 3, 2, 5}

3) Angelo is correct.

What is a function?

A function is a relation that maps elements from one set called the domain into another set called the range, such each element from the domain is mapped into only one of the elements of the range.

Thus, if an element of the domain is being mapped into two or more elements of the range, then the relation is not a function.

1) If you look at the relationship in the right, you can see that the input -60 is being mapped into two different outputs, this, it is not a function.

2) The domain is the set in the left:

D: {-60, 20, 70}

And the range is the set in the right side:

R: {-6, 3, 2, 5}

3) Angelo is correct, functions are relations,  but not all relations are functions, only the relations that meet the condition written above.

Learn more about functions:

https://brainly.com/question/2328150

#SPJ1

a rectangular room is 3 3 times as long as it is wide, and its perimeter is 56 56 meters. find the dimension of the room.

Answers

Consequently, the room has a 7 meter width. The room's length is

[tex]= 7 * 3 meters = 21 meters[/tex]

What is rectangle?


A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

Given that the length of the rectangular space is three times its breadth

The chamber has a 56-meter perimeter.

Assume that the room's width is x.

As a result, the room is three times as long.

The room's perimeter is now equal to 2(3x + x).

[tex]Here, 2(3x + x) = 56\\ 2 * 4x = 56\\ 8x = 56\\ x = 7.[/tex]

Consequently, the room has a 7 meter width.

The room's length is

[tex]= 7 * 3 meters\\= 21 meters[/tex]

To know more about Rectangle visit:
https://brainly.com/question/29123947

#SPJ4

Anna is knitting hats to give as gifts. Each one will use 1.2 skeins, and she has 6 skeins of yarn available. With the yarn available, how many hats can Anna knit?

Answers

Answer:

5

Step-by-step explanation:

There are 6 total skeins, and 1.2 is needed to make one

So you would divide 6 by 1.2

6 / 1.2 = 5

And to confirm it is 5, you can now multiply 5 by 1.2

5 x 1.2 equals 6

What equation represents Twenty five is one sixth of the number n

Answers

The equation that represents "Twenty five is one sixth of the number n" is:25 = (1/6) * n

The equation "25 = (1/6) * n" represents the relationship between the number 25 and an unknown number, n. It states that 25 is equal to one sixth of n. In other words, if we multiply the unknown number n by one sixth (or divide n by 6), we will obtain the value of 25. This equation can be used to solve for the value of n by multiplying 25 by 6, which would give us the unknown number. It provides a clear mathematical expression of the given relationship and allows us to find the value of n based on the given condition.The equation states that 25 is equal to one sixth of the number n. This means that if we take one sixth of the value of n, we will get 25 as the result. In other words, if we divide the value of n by 6, the quotient will be 25.

To understand it conceptually, imagine that we have a number n and we want to find one sixth of that number. By dividing the number by 6, we can determine how many equal parts make up the whole number, and one of those parts is equal to 25.

This equation is useful in various situations, such as solving problems involving proportions or determining unknown values when given a fraction of a number.

Learn more about statistics here:

https://brainly.com/question/12805356

#SPJ8

Other Questions
Compare and contrast biological and non biologicalmethods of metal extraction Open-end mutual funds guaranteeA. investors a minimum rate of return.B. investors a minimum NAV.C. to redeem investor's shares upon demand at current NAV.D. to earn the rate promised in the prospectus.E. none of the optionsAnswer: C rmd rules inherited ira original owner died in or before 2019 and subsequent beneficiary inherits it from original beneficiary who died 2020 or later PLEASE HELP FAST IF CORRECT ILL GIVE BRAINLIEST!!!!The American victory in the Revolutionary War led to which outcome in the late 1700s?A. All settlers were banned from moving into American Indian lands.B. Revolutionaries overthrew the French monarchy.C. Plantation owners agreed to end the Atlantic slave trade.D. Women gained voting rights in Britain and the United States. 2 Based on current science which of the following is the most reasonable range for possible values of the number of habitable planets, NHP, in our galaxy? all organisms face trade-offs that arise from the constraints that they face. one example of a constraint: energy spent on one task cannot be spent on another. which of the following best illustrates a realistic life-history trade-off? produce lots of large offspring or produce a small number of tiny offspring grow for a short time and get big or grow for a long time and stay small invest in growth and survival or invest in reproductive output provide lots of parental care to many offspring or provide little parental care to tew offspring The free-fall acceleration on the surface of the Moon is about one sixth that on the surface of the Earth. The radius of the Moon is about 0.250 RE (RE = Earth's radius = 6.4 106 m). Find the ratio of their average densities, rhoMoon/rhoEarth. FILL IN THE BLANK. In times of economic downturn, the fed will engage in ____ monetary policy by ____ bonds. a. contractionary; buying b. contractionary; selling c. expansionary; selling d. expansionary; buying FILL IN THE BLANK. for a population that is not normally distributed, the distribution of the sample means will as the size of the sample increases. A therapist who uses different techniques and theories based on the need of the client and the diagnosis could be referred to as an ___ therapistA) eclecticB) cognitive behavioralC) GestaltD) humanistic what is the original issue price of the bonds? on january 1, 2021, splash city issues $470,000 of 9% bonds, due in 20 years, with interest payab sort the following enzyme according to whether they are used in glycolysis, gluconeogenesis or both. glucose-6- phosphatase, triosephosphate isomerase,hexokinase, pyruvate carboxylase, pyruvate kinase Please Help!You are at a fundraising carnival. You want to play one game and you've narrowed it down to two options, as follows:OPTION 1: Choose a face card (K, Q, J) from a deck of cards. Then, spin an odd number on an 11-part spinner. $5 per play. Grand prize is $150.OPTION 2: Roll two dice with a product greater than 4 and less than 12. Then, choose a numbered card from a deck of cards. $15 per play. Grand prize is $200. Which option will you choose and why? Show your work and explain your thinking. Find a power series representation for the function.f(x) = x8 tan1(x3)f(x) =[infinity] leftparen1.gifrightparen1.gifsum.gifn = 0 (co5) which politician is particularly well known for his steady commitment to environmental issues and for making the film an inconvenient truth? Calculate and then write the reciprocal of your answer.2/43 of the difference of 3 2/15 and 2 5/12 write a nuclear equation to describe the neutron induced fission of pu to form kr and ce. determine how many neutrons are produced in the reaction. The slave trade became a highly regulated business, as each slaving nation sought to license and control its own part. The trade received formal state backing from monarchs and from legislatures, ... In addition, the trade was made possible by the development of modern financial systems. Global trade on such a vast geographic scale involved enormous time lags. Slave ships were away from their home ports for 12 - 18 months at a time, and sugar and tobacco were sold in Europe months after being harvested by slaves. As a result, ship owners and planters were always in need of credit.Which sentence best summarizes the main idea of the source above?A. The transatlantic slave trade was strictly controlled and regulated by ship captains.B. The transatlantic slave trade was regulated and supported by governments.C. The transatlantic slave trade received no financial backing by modern financial systems.D. The transatlantic slave trade took place only in European markets.PLEASE HELP WILL VOTE BRAINLIEST IF CORRECT! A Brazilian bond with a coupon rate of 15% at is initially priced at its face value of R$1,000. At the end of the year, the bond is selling at R$950. During the year, the exchange rate goes from R$1= U.S.$0.75 to R$1= U.S.$0.85. What is the bond's total dollar return during the period? 10% 31.25% 15% 0.53 / 0.53 pts 22.67% which of the following statements about altruism are accurate and which are not? accurate statement(s) altruism can be defined as unselfish behavior that benefits others without regard to consequences for oneself. press space to open basic tendencies toward self-preservation can restrain altruistic action. press space to open only selfless motives are involved in the behavior of altruism. press space to open altruism appears to be a strictly psychological construal and has no neurological underpinnings. press space to open fear of embarrassment can inhibit altruistic action.