Help asap please!! I will mark you as brainliest :)

Help Asap Please!! I Will Mark You As Brainliest :)

Answers

Answer 1

Answer:

52

Step-by-step explanation:

bro imma be honest with you the way i figured this out doesnt even make sense so im not even gonna try and explain ths lol

Answer 2
The first choice is the right answer - 52
4 bags for two batches so for one batch it’s 2 bags and for 26 batches you multiply that by 2 so you get 52

Related Questions

Can someone help me with this please .

Can someone help me with this please .

Answers

Answer:

4

Step-by-step explanation:

78

(4x-5)+2(3x+1)
Can you help me solve this plz for me

Answers

Answer:

10x - 3

Step-by-step explanation:

First, distribute 2 to all terms within the second parenthesis:

2(3x + 1) = (2 * 3x) + (2 * 1) = 6x + 2

4x - 5 + 6x + 2

Combine like terms (terms with the same amount of variables).

4x + 6x + 2 - 5

(4x + 6x) + (2 - 5)

10x + (-3)

10x - 3

10x - 3 is your answer.

~

Answer:

10x - 3

Step-by-step explanation:

(4x - 5) + 2 * (3x + 1) = 4x - 5 + 6x + 2

4x - 5 + 6x + 2 = 10x - 3

Jose's Coffee Shop makes a blend that is a mixture of two types of coffee, Type A coffee costs Jose $4.10 per pound, and type B coffee costs $5.25 per pound.This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $635.20. How many pounds of type A coffee were used?Number of pounds of type A coffee?

Answers

Answer:

Let the type A coffee be

\(=x\)

Let the type B coffee be

\(=y\)

Three times as many pounds of type B coffee as type A, will be represented below as

\(y=3x\)

The cost of type A coffee is

\(=\text{ \$4.10 per pound}\)

The cost of type B is

\(=\text{ \$5.25 per pound}\)

The total cost of both coffee is

\(=\text{ \$635.20}\)

Hence,

The equation will be

\(\begin{gathered} 4.10x+5.25y=635.20 \\ 4.10x+5.25(3x)=635.20 \\ 4.10x+15.75x=635.20 \\ 19.85x=635.20 \\ \frac{19.85x}{19.85}=\frac{635.20}{19.85} \\ x=32 \end{gathered}\)

Hence,

The number of pounds of type A coffee is = 32 pounds

Which triangles are congruent by SAS???

Which triangles are congruent by SAS???

Answers

Answer:

Triangle VTU and ABC are congruent by SAS

Step-by-step explanation:

You can tell that these triangles are the same because the lines on the sides and angle are the same.

help please I don't know how to do this​

help please I don't know how to do this

Answers

Answer:

1500 meters

Step-by-step explanation:

X and y are normal random variables with e(x) = 2, v(x) = 5, e(y) = 6, v(y) = 8 and cov(x,y)=2. determine the following: e(3x 2y) (2 points) v(3x 2y) (4 points) find p(3x 2y>20) (4 points)

Answers

The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

What is normal random variables?

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

\(\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}\)

Part b.

Consider V(3X + 2Y)

\(\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}\)

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

\(3 X+2 Y \sim N(18,77)\)

Thus,

\(P(3 X+2 Y < 18)=0.5\)

Part d.

Consider P(3X + 2Y < 28)

\(Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}\)

\(\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}\)

Therefore, the values for the given normal random variables are found.

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The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

we are willing to regard the wood pieces prepared for the lab session as an srs of all similar pieces of douglas fir. engineers also commonly assume that characteristics of materials vary normally. make a graph to show the shape of the distribution for these data. does it appear safe to assume that the normality condition is satisfied?

Answers

If the histogram shows a bell-shaped curve and the normality test (if performed) supports the normality assumption, it appears safe to assume that the normality condition is satisfied for the wood pieces prepared for the lab session, considering them as an SRS of all similar pieces of Douglas fir.



To determine if the normality condition is satisfied, you can follow these steps:

1. Organize the data: Collect the measurements for the characteristics of the wood pieces in your sample (such as density, strength, etc.) and organize them in a list or a table.

2. Create a frequency distribution: Calculate the frequencies of the different measurements and arrange them in a frequency distribution table.

3. Plot a histogram: Using the frequency distribution, create a histogram to visually represent the data. The x-axis represents the measurements and the y-axis represents the frequency.

4. Evaluate the shape of the histogram: Examine the shape of the histogram to determine if it resembles a normal distribution. A normal distribution is characterized by a bell-shaped curve, which is symmetrical around the mean value.

5. Conduct a normality test (optional): If you want to statistically confirm the normality of the data, you can perform a normality test, such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test.

For the wood pieces manufactured for the lab session, using them as an SRS of all comparable pieces of Douglas fir, it is acceptable to infer that the normality criterion is satisfied if the histogram displays a bell-shaped curve and the normality test (if performed) confirms the normality assumption.

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when group members contribute less to the group than the average member, particularly as the group grows in size, those group members are engaged in

Answers

When group members contribute less to the group than the average member, particularly as the group grows in size, those group members are engaged in social loafing.

Social loafing refers to the phenomenon where individuals exert less effort when working in a group compared to when working alone. As the group size increases, individual accountability diminishes, leading to a diffusion of responsibility and a decrease in individual effort.

This can result in some group members contributing less than the average member, taking advantage of the collective efforts of others.

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What is the least common multiple of 4, 6, and 9?

Answers

Answer:

36

Step-by-step explanation:

Multiples of 4: 4, 8, 12, 16, 24, 28, 32, 36

Multiples of 6: 6, 12, 24, 30, 36

Multiples of 9: 9, 18, 27, 36

Which inequality describes all the solutions to 4 X - 8 ≥ 20

Answers

Answer:

Inequality Form:

X ≥ 7

Interval Notation:

[ 7 , ∞ )

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

X ≥ 7

Interval Notation:

[ 7 , ∞ )

i think its this

Which system of equations is graphed on the coordinates below

Which system of equations is graphed on the coordinates below

Answers

Answer:

C

Step-by-step explanation:

Blue line:

\((-4, 0), (0, -2) \\m = \frac{\triangle y}{\triangle x} = \frac{0 - (- 2)}{-4 - 0} = \frac{2}{-4} = -\frac{1}{2}\\\text{y-intercept (c) is when x = 0}\\x = 0 \rightarrow y = -2\\y = mx + c\\y = -\frac{1}{2}x - 2\\2y = -x - 4\\x + 2y = -4\)

Red line:

\((5, 0), (0, -5) \\m = \frac{\triangle y}{\triangle x} = \frac{0 - (- 5)}{5 - 0} = \frac{5}{5} = 1\\\text{y-intercept (c) is when x = 0}\\x = 0 \rightarrow y = -5\\y = mx + c\\y = 1x - 5\\y - x = -5\\-y + x = 5\\x - y = 5\)

2. how many license plates can by made using either three uppercase english letters followed by three digits or four uppercase english letters followed by two digits?

Answers

There would be 63,273,600 and 43,524,000 license plates, if repetition is allowed, and not, respectively that can be made using either three uppercase English letters followed by three digits or four uppercase English letters followed by two digits.

Based on the given information, a license plate may either be:

1. three uppercase English letters followed by three digits

26 ways to fill in the first, second, and third letter and

10 ways to fill in the first, second, and third digit

2. four uppercase English letters followed by two digits

26 ways to fill in the first, second, third, and fourth letter and

10 ways to fill in the first and second digit

Thus, by Fundamental Principle of Counting, there are 63,273,600 possible license plates, if repetition is allowed, and 43,524,000 possible license plates, if repetition is not allowed.

(with repetition)

1.  26 x 26 x 26 x 10 x 10 x 10 = 17,576,000

2. 26 x 26 x 26 x 26 x 10 x 10 = 45,697,600

17,576,000 + 45,697,600 = 63,273,600

(without repetition)

1.  26 x 25 x 24 x 10 x 9 x 8 = 11,232,000

2. 26 x 25 x 24 x 23 x 10 x 9 = 32,292,000

11,232,000 + 32,292,000 = 43,524,000

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What is the slope of the line passing through the point (2,-1) and the origin?​

Answers

Answer:

y = - 1/2x

Step-by-step explanation:

What angular resolution would you need to see the Sun and Jupiter as distinct points of light? Express your answer in arcseconds to two significant figures. Jupiter 195| ΑΣΦ % ? 11 Suppose you were looking at our own solar system from a distance of 6.0 light-years.

Answers

An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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A group of friends eat at​ Jae's cafe. They have an online coupon. The costs of their main​ courses, before applying the​ coupon, are​ $13.99, $16.99,​ $19.99, and​ $21.99. The total cost of their drinks is​ $12.00. What will their bill be before tax and​ tip?

Answers

Bill before tax and tip will be generated by the original prices of main courses . The total bill is of $84.96

Given, prices of main course at cafe .

The total bill without applying the coupon for that we simply need to add respective costs of main course and drinks bill.

Just adding all the costs to find the bill:

= $(13.99 + 16.99 + 19.99 + 21.99 + 12)

=$84.96

Now since the question asks not to apply coupon and tip so the bill will remain as it is .

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A function has the points (1,5), (3,6), (4, 10), and (2, y).
Which point, (2, y), would keep this a function?
(4,11)
(4,5)
(3,8)
(6,3)

Answers

Answer:

sorry I don't know the answer

find the value of x
(words to meet the word thingy)

find the value of x(words to meet the word thingy)

Answers

The required measure of angle x is given as 60°, for the given quadrilateral.

What is quadrilateral?

A quadrilateral is a four-sided enclosed shape, whose sum of the internal angle is equal to 360°,
Examples of the quadrilateral, square, rectangle, etc.

Here,
The sum of the angle of the quadrilateral is equal to 360,
So,
x + 100 + 130 + 66 = 360
x = 360 - 296
x = 64°

Thus, the required measure of angle x is given as 60°, for the given quadrilateral.

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If the point (1, 3) is on the graph of y = f(x), then what is the corresponding point on the graph of y = -2f(x)?
O(-2,-6)
0 (1,-6)
O (-2,3)
(1,3)

Answers

Answer:(1,-6)

Step-by-step explanation:

Find the equation of a line that passes through the point (4,1) and has a gradient of 3.
Leave your answer in the form y=mx+c

Answers

The equation of a line passing through the point (4, 1) with a gradient of 3 is,  y = 3x - 11.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line that passes through the point (4,1) and has a gradient of 3.

We know the equation of a line in slope-intercept form is y = mx + b.

∴ The equation of a line passing through the point (4, 1) with a gradient of 3 is,

1 = 3(4) + b.

b = 1 - 12.

b = - 11.

∴ y = 3x - 11.

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choosing the pivot row by requiring that the ratio associated with that row be the smallest non-negative number ensures that the iteration will not take us from a feasible point to a non-feasible point.

Answers

Answer:

This statement is true.

In the simplex method, choosing the pivot row involves selecting a row with a negative value in the right-hand column and dividing the elements in the last column by the corresponding elements in the selected row to obtain the ratios. The row with the smallest non-negative ratio is then chosen as the pivot row.

By choosing the pivot row in this way, we ensure that the new solution will still be feasible, meaning that all the constraints will still be satisfied. This is because choosing the smallest non-negative ratio ensures that the new solution will not violate any of the non-negativity constraints.

Therefore, requiring that the ratio associated with the pivot row be the smallest non-negative number is an important step in the simplex method to ensure that the iteration will not take us from a feasible point to a non-feasible point.

Step-by-step explanation:

This statement is true when using the simplex method to solve a linear programming problem.


In the simplex method, we start with a feasible solution and iteratively improve it until we reach an optimal solution. At each iteration, we choose a pivot row and a pivot column to pivot around. The pivot row is chosen based on the ratio of the right-hand side value to the coefficient of the entering variable in that row. This ratio is called the pivot ratio.

Choosing the pivot row with the smallest non-negative pivot ratio ensures that we pivot to a new feasible solution. This is because the pivot row represents a constraint in the linear programming problem, and the pivot ratio represents how much we can increase the value of the entering variable while still satisfying that constraint. If the pivot ratio is negative, it means that increasing the entering variable would violate the corresponding constraint, and so we cannot pivot in that direction.

Therefore, by choosing the pivot row with the smallest non-negative pivot ratio, we ensure that we pivot in a direction that preserves feasibility and does not take us to a non-feasible point.

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Joe is buying gift cards that are on sale for 15% off. He uses c – 0.15c to determine the sale price of gift cards. What is an equivalent expression that Joe could also use to determine the sale price of a gift card?

Answers

Answer:

0.85c

Step-by-step explanation:

Given :

Discount on sale = 15%

Price of gift card at discounted price = c - 0.15c

Equivalent expression could be :

(100% - 15%) * price

Price = c

(1 - 0.15)c

0.85c

please help me

no random links pls

please help meno random links pls

Answers

Answer:

Answer is c I think

Step-by-step explanation:

Read the paragraph. [1] The 1992 Olympic Games took place in Barcelona, Spain. [2] This marked the first year that professional basketball players were permitted to represent their countries in the games. [3] Previously, only amateur players were allowed to participate such as college athletes. [4] The US squad was called “The Dream Team” because it consisted of some of the best players in the history of the game, including Michael Jordan, Magic Johnson, and Larry Bird. Which sentence should be revised to improve this paragraph’s sentence fluency?Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.

The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5

In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.

The correct form of the sentence in sentence 3 should be:

"Previously, only amateur players, like college athletes, were allowed to participate."

The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:

= -3(2x - 5) < 5(2 - x)

= -6x + 15 < 10 - 5x

By collecting the like terms, we have:

= 15 - 10 < -5x + 6x

= x < 5

Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x  OR  x < 5

NOTE: The third question is a repetition of an incomplete question.

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Can somebody plz help write the equation for each question correclty thanks :D
(Only if u done these before) :3

WILL MARK BRAINLIEST :DD

Can somebody plz help write the equation for each question correclty thanks :D(Only if u done these before)

Answers

Answer:

1. 482

2. 60

HOPE THIS HELPS YOU

Answer

20. 470 = x - 12 (Solving for X: There was 482 pages before decreasing by 12)

21. 65 = x + 5  (Solving for X: There was 60 pages read before reading 5 more)

Somebody plz answer just number 15 and 13
Thank you!!

Somebody plz answer just number 15 and 13 Thank you!!

Answers

Answer:

13. 60

15. 200

Step-by-step explanation:

These are the answers because:

1) Since they are asking us to round to the tens place or the hundreds place we have to look at the ones digit and the tens digit.

2) For 13, the answer is 60 because the rounding digit is 5. Since the digit is 5, we have to round up the digit in the tens place. Therefore, it becomes 60.

3) For 15, the answer is 200 because the rounding digit is 3. Since the digit is 3, we have to keep the same number. Therefore, the answer is 200.

Hope this helps!

What is 576/9 simplified?

Answers

Answer:

It is 64. Pls mark me as brainliest.

Step-by-step explanation:

You divide.

576÷9=64

576÷9

9÷9=1

64/1

or

64

There both the same.

Answer:

Reduce 576/9 to lowest terms

The simplest form of  

576 /9 is 64/1

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 576 and 9 is 9

Divide both the numerator and denominator by the GCD

576 ÷ 9

9 ÷ 9

Reduced fraction:  

64 /1

Therefore, 576/9 simplified to lowest terms is 64/1.

3. The function h(x) is a transformed function of f(x) = |x|. The transformation is as follows: 3 units vertical shift down, 2 units horizontal shift right.
a. Write the transformed equation, h(x).
b. Graph f(x) and h(x) on the same coordinate plane. Be sure to label the functions f(x) and h(x). This must be graphed by hand or by using the tools in Word. You may not use a web-based graphing program.

Answers

a. The transformed equation is given as follows: h(x) = |x - 2| - 3.

b. The graph of the two functions is shown by the image presented at the end of the answer.

What are translations?

The translations are movements to the triangle in each of these directions:

Up.Down.Left.Right.

The parent function in this problem is given as follows:

f(x) = |x|.

The first translation was a vertical translation three units down, hence we have that:

g(x) = f(x) - 3 = |x| - 3.

The second translation was a horizontal translation two units right, hence the have that the definition of the transformed equation h(x) is given as follows:

h(x) = g(x - 2) = |x - 2| - 3.

The graph of the functions is given by the image shown at the end of the answer, and the translations are verified on every point of the function, but especially the vertices.

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3. The function h(x) is a transformed function of f(x) = |x|. The transformation is as follows: 3 units

Bella’s cell phone costs $18 per month plus $0.15 for every minute
she uses the phone. Last month her bill was $29.25. For how many
minutes did she use her phone last month?

Answers

75 minutes

29.25-18=11.25
11.25/.15= 75

The speed of a falling object increases at a constant rate as time increases since the object was dropped. Which graph could represent the relationship between t, time in seconds, and s, speed in meters per second? A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line increases from 0 to 10 seconds. A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line decreases from 0 to 4 seconds. A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line increases from 0 to 4.5 seconds. A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line decreases from 1 to 9 seconds.

Answers

Answer:

Since the guy on top was so difficult the answer is A

Step-by-step explanation:

Edge 2021

Answer: Option A if your doing Edge.

Step-by-step explanation:

none

PLEASE ANSWER, HURRY!!!

PLEASE ANSWER, HURRY!!!

Answers

Hello!

1/6 ≈ 0.167

the answer is 0.167

Other Questions
Briefly describe any TWO characteristics of relevant costs as thebasis of making business decisions by managers Let F be a field and let A Mnxn (F) be a diagonalizable matrix.(a) Let k > 1. Show that Ak is diagonalizable.(b) Show that the transpose AT of A is diagonalizable.(c) Show that if A is invertible then A-1 is diagonalizable. what is the definition of androgyny a car starts from rest and accelerates at 4 m/s2. how much time will it take the car to reach a speed of 20 m/s? Anthony has a college savings account with $8,657 in it. He has $347 in his checking account.He currently has $45 in his wallet in cash, but he owes Yenny $186 for a personal loan that shegave him. Anthony owns a limited edition pair of Jordan's that are worth $4,500. What isAnthony's net worth?assets? value? liabilities? amount? one of the major criticisms of president bushs no child left behind educational policy was that In a democratic system of government similar to the United States, citizens A channel consisting of one or more independent producers, wholesalers, or retailers that seek to maximize their own profits-even at the expense of profits for the channel as a whole-isain) a conventional distribution channel: Ob, administered vertical marketing system Ochorizontal marketing system Od vertical marketing system imagine you could dig a tunnel all the way to the center of the earth. what would happen to the gravitational potential energy of a system formed by the earth and some object, as the object approached the center of the earth? assuming the terms of issuance to be the same for different types of loans, a government would choose to issue a: a. discount bond. b. fixed payment loan. c. perpetuity. d. coupon bond. fill in the blank. _____ covers children of families that do not qualify for medicaid but do not have sufficient income to purchase health insurancestate children's health insurance program (SCHIP) What was the one or two reasons the colonists were willing to brave hostile Indians, diseases and starvation to come to an untamed and often harsh new word to start a new life?Please help What is the vertex of y=7|x-3|-4 The ratio of squares to circle and a pattern is 4 to 3 complete the table to show the relationship between the numbers of squares and circles in the pattern. enter a number in each box (Grad point )What is m Dakota earned $18.00 in interest in Account A and $30.00 in interest in Account B after 18 months. If the simple interest rate is 4% for Account A and 5% for Account B, which account has the greater principal? Explain. the nurse administers an evening medication to the client in the morning. the medication did go to the correct client. what is the nurse's best course of action at this time? Thomas has a loan with a nominal interest rate of 6. 4624% and an effective interest rate of 6. 4715%. Which of the following must be true? I. The loan has a duration greater than one year. II. The interest on Thomass loan is compounded more than once yearly. III. The economy was strong when Thomas took out the loan. A. I and II b. II only c. I and III d. III only. How to convert 2.37 l tp dl? This question relates to the order of convergence of the secant method, using an argument similar to that of the proof of Theorem 9.1. a. Consider a functionf :R REC?, such that ** is a local minimizer and f"(x*) + 0. Suppose that we apply the algorithmx(k+1) = x(k) 4f(x(k)) such that {at} is a positive step- size sequence that converges to 1/8"(x*. Show that ifrk) x*, then the order of convergence of the algorithm is superlinear (i.e., strictly greater than 1). b. Given part a, what can you say about the order of convergence of the secant algorithm?