Hi guys please help me with this! exlapin how you got the answer instead of just putting down a random letter for points, thanks! :) ​

Hi Guys Please Help Me With This! Exlapin How You Got The Answer Instead Of Just Putting Down A Random

Answers

Answer 1
From the numbers between 11 and -14
Number of terms: 6
First term: -14
6th term = 11
a + (n-1)d = -14
11 + (6-1)d = -14
11 + 5d = -14
5d = -25, d = -5

From 11 you subtract 5 to the left
d = 6, c = 1, b = -4, a = -9

Which is the smallest non-negative?

Solution: c

Related Questions

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:30

Step-by-step explanation:

60 plus 30 equals 90 so common sense says that’s the answer

Answer:

30

Step-by-step explanation:

11. Which of the following answers represents a correct way to set up and solve for y? D (4y - 4) ° 3y (x - 5) 128 A B. O - X-5 + 128 = 180 ТС O 4y - 4 + 3y +128 = 180 4y - 4 + 3y = 128 4y - 4 + 3y = 180

11. Which of the following answers represents a correct way to set up and solve for y? D (4y - 4) 3y

Answers

We will have that the solution is given by:

\((4y-4)+128+3y=180\)

So, the answer is option 2.

***

The two cylinders below are similar. If the surface area of Cylinder A is 1,620π in2; and the surface area of cylinder B is 1,280π in2. What is the ratio of the height of Cylinder A to Cylinder B? PLEASE ANSWER CORRECTLY WILL AWARD BRAINLIEST IF YOU DO>

The two cylinders below are similar. If the surface area of Cylinder A is 1,620 in2; and the surface

Answers

Answer:

  (d)  9 in : 8 in

Step-by-step explanation:

Given the ratio of surface areas of similar cylinders A and B is ...

  A : B = (1620π in²) : (1280π in²)

you want the ratio of their heights.

Area ratio

The ratio of the areas of similar geometries is the square of the ratio of their linear dimensions. Height is a linear dimension.

We can find the ratio of heights by taking the square root of the ratio of areas:

  √((1620π in²) / (1280π in²)) = 9/8

Height ratio

In reduced form the ratio is 9/8. This could be ...

  9 in : 8 in

__

Additional comment

It could also be 27 in : 24 in. These dimensions would make the cylinders taller than wide, and the ratio is not in reduced form. This is why we chose the answer we did.

<95141404393>

What number is a multiple of both 5 and 15?

Answers

Answer:

five because 5×3 is 15 and 5×1 is 5

the owner of a pet shop buys budgie bells in packs of 30 bells. she pays 12p per bell. She sells 3/5 of the bells for 50p each and the rest for 40p each. How much profit does she make on the whole pack of budgie bells?

Answers

Answer: 1020p

Step-by-step explanation:

The total cost of the bells will be:

= 12p × 30 = 360p

She sells 3/5 of the bells for 50p each. This will be:

= (3/5 × 30) × 50

= 18 × 50p

= 900p

She sells the remaining 2/5 for 40p each. This will be:

= (2/5 × 30) × 40

= 12 × 40

= 480p

Then, total revenue will be:

= 900p + 480p

= 1380p

Profit = Revenue - Cost

= 1380p - 360p

= 1020p

Write a phrase for the algebraic expression:
s +7

Answers

There are many possible answers for this.

One example is below.

S = the number of stations included when a person orders basic cable, write an expression for the number of stations a person has if he ordered basic cable and 7 premium channels.

We can represent this as s + 7.

The value that we don't know is the number of

stations included when a person orders basic cable.

So we can represent that as s.

Then, since the person ordered 7 premium channels, that means he

is adding an additional 7 channels to his basic cable plan.

So we can represent this as s + 7.

Answer:

a number plus 7

Step-by-step explanation:

s+7

Let s represent an unknown number

a number plus 7

t-models, part II Using the t tables, software, or a calculator, estimate
a) the critical value of t for a 95% confidence interval with df = 7.
b) the critical value of t for a 99% confidence interval with df = 102.

Answers

The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62

In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.

a)

On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.

b)

The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.

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A matrix having unequal number of rows and columns is called​

Answers

A rectangular matrix :)

A store is running a sale where all of the items are 35% off the normal price. The price of a video game you want to buy is normally $61.97. What is the sales price of the game

Answers

Answer:

Discounted price= $40.28

Step-by-step explanation:

Giving the following information:

A store is running a sale where all of the items are 35% off the normal price. The price of a video game you want to buy is normally $61.97.

To calculate the discounted selling price, we need to use the following formula:

Discounted price= selling price*(1 - discount rate)

Discounted price= 61.97*(1 - 0.35)

Discounted price= $40.28

consider the matrix : what is the minimal approximation error achievable by a rank-1 approximation to ?

Answers

The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is

||A - A1||₂=0 where A is 2×2 matrix.

We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]

note here that C₂= 3C₁

where Cᵢ --> iᵗʰ column

v = [ 5 ; 6 ; -1 ; -4 ; 2]

||v||² = 82 => ||v|| = √82

and A At v = 820 v

and A At = [ 82 246 ; 246 738]

AAt [1;3] = 820[1;3]

=> v1 = 1/√10(1,3)^t

Then the best rank of 1 approx

= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]

= A

Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0

Hence, the minimal Approx. ||A - A1||2 = 0 .

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Complete question:

Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?

consider the matrix : what is the minimal approximation error achievable by a rank-1 approximation to

writing unit fractions to add or subtract.

writing unit fractions to add or subtract.

Answers

1/3 + 1/6

---Find a common denominator, or the least common multiple of the given denominators. In this case, that would be 6.

1/3 = 2/6

1/6 = 1/6

---Now add the fractions

2/6 + 1/6

3/6

---Simplify/Reduce the fraction

3/6

1/2

Answer: 1/2

1/3 + 1/6 = 2/6 + 1/6 = 3/6 (or 1/2)

Hope this helps!

Answer:

the 2/3 will become 2/6

answer =  1/2

Step-by-step explanation:

2/6+1/6=3/6 redices to 1/2

I’ll give brainliest if someone can explain that answer

Ill give brainliest if someone can explain that answer

Answers

Answer:

no

Step-by-step explanation:

Answer:

No

Because 5 and 1 have the same output as 1.

which polynomial function has a leading coefficient of 1 and roots (7+i) and (5-i) with multiplicity 1?

Answers

The polynomial function which has a leading coefficient 1 is (x-(7+i))(x-(5-i))(x-(7-i))(x-(5+i))

Given that a polynomial function has leading coefficient 1 and roots (7+i) and (5-i) with multiplicity 1.

We want to find the polynomial function.

As we know that the complex conjugate properties of the roots of a polynomial states that if a+bi is a root of a polynomial then their complex conjugate a-bi is also a root.

So, according to this property (7-i) and (5+i) with multiplicity 1 is also a root of polynomial.

Thus, all the roots are x=7+i, x=7-i, x=5+i and x=5-i

So, the polynomial is f(x)=(x-(7+i))(x-(5-i))(x-(7-i))(x-(5+i))

Hence, the polynomial function which has a leading coefficient 1 and roots (7+i) and (5-i) is (x-(7+i))(x-(5-i))(x-(7-i))(x-(5+i)).

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how can you tell that the slope of the line through (2,2) and (-3,5) is negative without calculating

Answers

The y values decrease as the x values increase. If you picture the points in your head, you’ll see that (2,2) is to the right and lower than (-3,5), creating a negative slope.

I need help finding the answer

I need help finding the answer

Answers

Answer:

3

Step-by-step explanation:

as the hour goes up one the temperature rises by 3

temp increases by 3 degrees every hour

Jenny wants to buy a new dress for her first school dance she barrows $25.63 from her sister to help pay for the dress then Jenny earns $16.33 helping her dad organize his home office if she gives all the earnings to her sister Jenny will still owe her sister $

Answers

Answer:

Jenny will owe her sister $9.30

Step-by-step explanation:

Subtract the money she earned from her dad from what she borrowed from her sister. $25.63-$16.33=$9.30 :)

Prove AB is congruent to BC given BE bisects DBC and BE is parallel to AC

Prove AB is congruent to BC given BE bisects DBC and BE is parallel to AC

Answers

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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prove 2^a , 2^b , 2^c forms a geometric sequence when a , b , c forms an arithmetic sequence.

Answers

Answer: Given that a, b, and c form an arithmetic sequence, so they are equally spaced, meaning the difference between each of them is constant. Let's denote the common difference between a, b, and c as d.

So, we have:

a = b - d

c = b + d

Using these two equations, we can prove that 2^a, 2^b, and 2^c form a geometric sequence.

We have:

2^a = 2^b / 2^d

2^c = 2^b * 2^d

Since the product of two powers of the same base is equivalent to the power of the base with the sum of the exponents, we have:

2^a * 2^c = 2^b * 2^b * 2^d * 2^d = 2^(b+b+d+d) = 2^(2b+2d)

So, we have:

2^a * 2^c = 2^(2b+2d) = 2^(2b) * 2^(2d) = 2^b * 2^b * 2^d * 2^d = 2^b * 2^c

This means that 2^a, 2^b, and 2^c form a geometric sequence, with the common ratio of 2^d.

Step-by-step explanation:

The real estate industry claims that it is the best and most effective system to market residential real estate. A survey of randomly selected home sellers in Illinois found that a 95% confidence interval for the proportion of homes that are sold by a real estate agent is 69% to 81%. Interpret the confidence interval in this context.
We are 95% confident, based on this sample, that the interval from 69% to 81% contains the true proportion p of homes in Illinois that are sold by a real estate agent.
We are 95% confident that between 69% and 81% of homes in this survey are sold by a real estate agent. 95% of all homes in Illinois are sold by a real estate agent.
In 95% of the years, between 69% and 81% of homes in Illinois are sold by a real estate agent.
95% of all random samples of home sellers in Illinois will show that between 69% and 81% of homes are sold by real estate agents.

Answers

The 95% confidence interval for the proportion of homes sold by a real estate agent, based on a survey of randomly selected home sellers in Illinois, is 69% to 81%.

The confidence interval provides us with a range of values within which we can be confident that the true proportion of homes sold by a real estate agent in Illinois lies. In this case, the confidence interval of 69% to 81% indicates that, based on the sample of home sellers surveyed, we can be 95% confident that the proportion of homes sold by a real estate agent in Illinois is somewhere between 69% and 81%.

It is important to note that this confidence interval is specific to the sample of home sellers surveyed and does not necessarily represent the entire population of home sellers in Illinois. However, based on the observed data, there is a high level of confidence that the true proportion lies within the given range.

This confidence interval does not imply that 95% of all homes in Illinois are sold by a real estate agent. It is a statement about the precision and reliability of the estimate obtained from the sample. Additionally, it does not provide information about the frequency of homes being sold by real estate agents in different years. The interval represents the variability and uncertainty associated with estimating the true proportion based on the sample data.

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find all functions f having the indicated property. (enter your solution as an equation.) the tangent to the graph of f at the point (x, y) intersects the x-axis at (x 91, 0).

Answers

All functions f having the indicated property is y = 150x/2 = 75x.

Given, the tangent to the graph of f at the point (x, y) intersects the x-axis at (x + 91, 0).

Let's find the equation of the tangent line of a function f at a point (x, y) with the help of the slope-intercept form of a linear equation.

The slope-intercept form of a linear equation: y = mx + c

Where, m is the slope of the line and, c is the y-intercept.

Since the tangent line intersects the x-axis at (x + 91, 0).

Therefore, the x-intercept of the line will be (x + 91, 0).

Thus, the slope of the tangent line at the point (x, y) will be given by: m = (y - 0)/(x - (x + 91)) = - y/91

Hence, the equation of the tangent line of the function f at the point (x, y) is:y = (-y/91)x + c

Substitute the point (x, y) in the above equation, we get: y = (-y/91)x + (y + (x + 91)y/91) ⇒ 91y

                                                                                                 = -xy + y + xy + 91y ⇒ 91y

                                                                                                 = 2xy + y ⇒ 92y

                                                                                                 = 2xy ⇒ y

                                                                                                 = x/46

Let's write the equation of function f in point-slope form with the given point (x, y) and slope m:

y - y1 = m(x - x1)⇒ y - y

        = (-y/91)(x - x)⇒ 0

        = (-y/91)x + y⇒ x/46

        = y

Thus, the equation of function f is y = x/46.

Note: The given property is satisfied by all functions of the form y = kx/2 where k is any constant, in particular k = 150.

Hence, another possible answer is y = 150x/2 = 75x.

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Use the Binomial Theorem to expand (a+b)^15. You can use your calculator to determine the coefficient. Show the step.


I would prefer Tutor to answer and show the step to this question

Answers

The expansion of (a+b)^15 is: a^15 + 15a^14b + 105a^13b^2 + 455a

To expand (a+b)^15 using the Binomial Theorem, we can use the formula:

(a + b)^n = C(n,0)a^nb^0 + C(n,1)*a^(n-1)*b^1 + C(n,2)*a^(n-2)*b^2 + ... + C(n,n-1)a^1b^(n-1) + C(n,n)a^0b^n

where C(n,k) represents the binomial coefficient "n choose k" which is equal to n!/(k!(n-k)!).

In this case, n = 15, so we have:

(a+b)^15 = C(15,0)a^15b^0 + C(15,1)a^14b^1 + C(15,2)a^13b^2 + ... + C(15,14)a^1b^14 + C(15,15)a^0b^15

We can evaluate each binomial coefficient using the formula above, or we can use Pascal's Triangle to obtain the coefficients:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 792 924 792 495 220 66 12 1

1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1

1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1

1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1

Thus, we have:

(a+b)^15 = 1a^15b^0 + 15a^14b^1 + 105a^13b^2 + ... + 5005a^1b^14 + 32768a^0b^15

Simplifying, we get:

(a+b)^15 = a^15 + 15a^14b + 105a^13b^2 + 455a^12b^3 + 1365a^11b^4 + 3003a^10b^5 + 5005a^9b^6 + 6435a^8b^7 + 6435a^7b^8 + 5005a^6b^9 + 3003a^5b^10 + 1365a^4b^11 + 455a^3b^12 + 105a^2b^13 + 15ab^14 + b^15

Therefore, the expansion of (a+b)^15 is:

a^15 + 15a^14b + 105a^13b^2 + 455a

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Giovanna used the calculations below to determine the height of a stack of 7 books that are each 2 5/8 inches thick. What was her error?O 7(2 5/8)O 7 (2 + 5/8)O 14 + 5/8O 14 5/8

Answers

Giovanna's error is that she should have added the fractions instead of adding the whole numbers and the fraction. The correct calculation is 14 7/8 inches.

2 5/8 + 2 5/8 + 2 5/8 + 2 5/8 + 2 5/8 + 2 5/8 + 2 5/8

= (2 + 2 + 2 + 2 + 2 + 2 + 2) + (5/8 + 5/8 + 5/8 + 5/8 + 5/8 + 5/8 + 5/8)

= 14 + (5/8 + 5/8 + 5/8 + 5/8 + 5/8 + 5/8 + 5/8)

= 14 + (7/8)

= 14 7/8

Giovanna made an error when calculating the height of a stack of 7 books that are each 2 5/8 inches thick. The correct calculation was 14 7/8 inches, however, she calculated 14 + 5/8 inches. This is incorrect because it is necessary to add the fractions together in order to get the correct answer. To calculate the height of the stack of books, we need to add each book's thickness together. Since each book is 2 5/8 inches thick, we start by adding the whole numbers: 2 + 2 + 2 + 2 + 2 + 2 + 2 = 14. Then, we add the fractions: 5/8 + 5/8 + 5/8 + 5/8 + 5/8 + 5/8 + 5/8 = 7/8. Adding these together gives us 14 + 7/8 = 14 7/8. Thus, the correct answer is 14 7/8 inches.

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Pleaseeeee help me :(

Pleaseeeee help me :(
Pleaseeeee help me :(

Answers

Answer:ask your teacher bc thats confusing

Step-by-step explanation:

If two events are independent, then their joint probability is computed with _____.
A. the special rule of addition
B. the special rule of multiplication
C. the general rule of multiplication
D. the bayes theorem

Answers

B. the special rule of multiplication.

The joint probability of two independent events is computed using the special rule of multiplication.

What is the method used to calculate the joint probability of two independent events?

When two events are independent, their joint probability is calculated using the special rule of multiplication.

This rule states that the probability of both events occurring together is equal to the product of their individual probabilities. In other words, if A and B are two independent events, then the probability of A and B occurring together is equal to the probability of A multiplied by the probability of B.

For example, if the probability of event A is 0.4 and the probability of event B is 0.5, then the probability of both events occurring together is 0.4 x 0.5 = 0.2.

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Find −9/14+2/7. Write your answer as a fraction in simplest form.

−9/14+2/7=

Answers

Answer: -5/14

Step-by-step explanation:

I did the work and I rechecked the answer.

The _______ name of a number is how it sounds when we say its name the long way.

Answers

Answer:

Word. The word name

Step-by-step explanation:

I hope this helps you :)

Word I hope this helps

Calculate the area of the square shown below.

its a square ■ and on the bottom its 3.1 yd what do I do?

Answers

Step-by-step explanation:

area of square is a^2

3.1yd^2=9.61yd^2

Answer:

Area = 9.61^2

Step-by-step explanation:

A square has all equal sides so each side is the same length. To find the area mulyiply the length by the width. Since it is a square both sides will be 3.1 yds long. So multiply 3.1 by 3.1 and you will get 9.61^2, That is the area of the square.

Rewrite 4x + 16 using a common factor.

Answers

The rewritten expression using a common factor is:

4x + 16 = 4*(x + 16)

How to rewrite the expression using a common factor?

Here we want to rewrite the expression:

4x + 16

Ussing a common factor, so let's factorize the terms.

The first one is simple:

4x = 4*x

The second one is also simple, we can write:

16 = 4*4

Then the common factor is 4, and we can rewrite the expression as:

4x + 16 = 4*(x + 16)

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pleasssssssseeeeeeee hellllppppppppppp pleasssssssssssseeeeeeee

pleasssssssseeeeeeee hellllppppppppppp pleasssssssssssseeeeeeee

Answers

Y=1/5x+3
Hope it helps

Helppppppppp me plz I rlly. We’d help

Helppppppppp me plz I rlly. Wed help

Answers

Answer:

c = 4,9

d = 4,6

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The supply curve shifts leftward. ii. The price increases. iii. The quantity produced decreases.A) i onlyB) ii onlyC) iii onlyD) i and iiE) i, ii, and iii What is the difference between Inorganic and organic compounds?O A. Organic compounds contain lonic bonds and Inorganic compounds contain covalent bonds.OB. Organic compounds are produced naturally and Inorganic compounds are human-made.Oc. Organic compounds contain carbon and Inorganic compounds do not.OD. Organic compounds are beneficial to the environment and inorganic compounds are not. Which team won the men n.c.a.a. basketball tournament, earning its fifth title in the past 25 years more than any other school in that time? Which substance is essential in keeping your bones strong? a.Oxygen b.Calcium c.Neon d.Chlorine WILL MARK YOU BRAINLIEST JUST GIVE THE ANSWER!! Consider the function f(x) = 3x - 4x on the closed interval [ 3,2). Find the exact value of the slope of the secant line connecting ( - 3, f(-3)) and (2, f(2)). m = By the Mean Value Theorem, there exists c in (-3,2) so that m = f'(c). Find all values of such c in (-3,2). Enter exact values. If there is more than one solution, separate them by a comma. C= What are 3 main elements of a poem? Pick any two diseases that require diagnostic tests to identifythem from the respiratory and digestive systems (one from each) Foreach of the diseases, explain:Why is a particular test recommended Which of the following is a carbon sink in the desert?cactisnakesplanktoninsects In "To My Old Master," what is Anderson's viewpoint about the Colonel's obligations to him now that he is a free man? A.He believes the Colonel should be commended for covering his clothing and medical costs during his years of service. B.He wants the Colonel to pay him the current wage he is earning once he returns, plus the cost of daily living. C.He feels the Colonel owes him and his wife back pay for all of their years of service, plus interest. D.He expects the Colonel to pay fair wages to him and his wife and also grant them their freedom. a roller-coaster's largest drop is 50.0 meters. assuming it starts from rest, what is the speed of the car (in m/s) at the bottom of this drop? In 1947, George Kennan, the American diplomat to Moscow said:The Soviet system bears within it the seeds of its own decay.What did he mean? "Hunter read 40 pages in his history book inone hour.Rate of change is Select the relative adverb. It Her Who Why please help ill give brainliest to the right answer 7:59 PM>PS 3.1 Critique and revise the reasoning of others.3. Alex says d = 100 is a solution to 5d = 20Is Alex correct? Explain why he is correct or incorrect. If Alex is incorrect, show how you would fix Alex'smistake.Is Alex correct a historical opinion is an idea that A) reflects one persons ESSAY: GREGOR MENDELWrite an essay about Gregor Mendel. Gregor Mendel was an Austrian monk and is considered the father of genetics. Many historians have described Gregor Mendel as an obscure monk who stumbled onto the nature of hereditary mechanisms while tending his garden between morning and evening prayers. However, he was clearly an alert and practical scientist who entered the monastery as part of his academic training as well as in response to his religious convictions. During life prior to joining the monastery, Mendel exhibited an active interest in crop improvements as demonstrated by the many awards he received for developing new varieties of fruit and vegetables. Also, he established thirty-four "pure" strains of peas in his garden in preparation for hybridization experiments. In 1865 he published the results of his seven years of study on cross-breeding of his garden peas.To help you with your essay, complete an online search for Gregor Mendel, Gregor Mendel's Discoveries, or Gregor Mendel Awards. if the price level in the economy and the nominal wages both doubled, then real wages would: The average miles per gallon rating of U.S. vehicles has ________. A) doubled in the past two decadesB) made no improvement the past two decadesC) now matched the 45 mpg rating mandated by the European unionD) doubled since the 2008 electionE) been raised to 40 mpg because of the 2010 energy bill passed by Congress