Given the statement "r varies jointly as s and t". if r =16 when s = 4 and t =6, what is the constant of the variation?​

Answers

Answer 1
Arrangements for weddings would have been with the local church. Weddings were always a religious ceremony, conducted by a minister. The religions varied but the legal process prior to the wedding was always the same. There were no Registry Office marriages or marriages conducted by a Justice of the Peace. The first stage was Crying the Bann

Related Questions

what is the underlying logic of the single sample t-test?

Answers

The single sample T test refers to the statistical study involving a test that is used to determine if a group is significant of a different type from a known population. the null hypothesis for this test is the ability to not leave any difference between the sample mean and the population means.

Hence,  the underlying logic behind the single sample T test is that it enables to initiation of the comparison of the sample means to a known or unknown population and proceeds to determine if there is any difference between them that is statistically significant. It chooses standard errors to differentiate between the sample mean and the population means.

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If mXWZ = 90, what is x?

If mXWZ = 90, what is x?

Answers

Answer:

x=11

Step-by-step explanation:

To Solve this equation, you need to understand the rules of complementary angles. In this case, XWY and YWZ make up XWZ. In this case, we would add them

5x+5+2x+8=90

7x+13=90

7x=77

x=11

Each square in the grid is a unit square with an area of 1 square unit.
What is the area of the figure?
square units

Each square in the grid is a unit square with an area of 1 square unit.What is the area of the figure?square

Answers

Answer:

6 square units

Step-by-step explanation:

Simply count the number of squares:

There are 4 squares aligned in a vertical column, and one to the right of that column (so up to this point you have 5 full squares). Then notice that you have two half squares in the shape of triangles. So two halves give us another full square. That totals 6 square units.

I need some help on this problem.

I need some help on this problem.

Answers

Answer:

It would be <XWY & <UTW.

Xwy and str I believe

help me out guys!!!!!!!!!!

help me out guys!!!!!!!!!!

Answers

Answer:

x = 45°

y = 90°

Step-by-step explanation:

    The 135° is on a line, so 180° - 135° = 45°

Since this is an isosceles triangle, x will be equal to 45° as well.

    The sum of a triangle's angles is 180°, so if we add them all together and subtract from 180° we will get our y.

180° - (45 + 45) = y

180° - 90° = y

90° = y

(a triangle can be both an isosceles and a right-triangle!)

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Need help. Find the value of x

Need help. Find the value of x

Answers

Answer:

Step-by-step explanation:

14

Des can choose between two jobs: Job A pays £3.80 per hour for 40 hours per week, Job B pays £4.50 per hour for 32 hours per week. For which job will Des earn the most money per week?

Answers

The solution is, For job- A will Des earn the most money per week.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Job A pays £3.80 per hour for 40 hours per week,

Job B pays £4.50 per hour for 32 hours per week.

for, job A - he earns =  £3.80 * 40

                                 = £ 152 pe week

and, for job B - he earns = £4.50 * 32

                                        =£ 144 per week.

Hence, The solution is, For job- A will Des earn the most money per week.

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Sam makes tote bags for a school fundraiser. The fixed costs for making the bags is $30. The cost of the materials for each bag is $8.50. Sam can spend less than a total of $200 on the tote bags. Write an inequality that can be used to determine b , the number of tote bags that can be made.

Answers

The inequality that can be used to determine b, the number of tote bags that can be made is:

8.50b + 30 ≤ 200

where b is the number of tote bags that can be made, 8.50 is the cost of materials for each bag, 30 is the fixed cost, and 200 is the maximum allowable spending on the tote bags.

A college professor stops at McDonald's every morning for 10 days to get a number 1 value meal costing $5.39. On the 11th day he orders a number 8 value meal costing $4.38.

Which of the following are true?
Select all that apply.

Select one or more:

1) During the first 10 days the professor's standard deviation was more than 0.

2) During the first 10 days the professor's standard deviation was less than 0.

3) During the first 10 days, the professor's standard deviation was 0.

4) It is impossible to tell anything about the professor's standard deviation for the first 10 days.

5) Considering all 11 days, the professor's standard deviation was lower than the standard deviation of the first 10 days.

6) Considering all 11 days, the professor's standard deviation was higher than the standard deviation of the first 10 days.

7) Considering all 11 days, the professor's standard deviation was the same as the standard deviation of the first 10 days.

8) Considering all 11 days, It is impossible to tell anything about the professor's standard deviation compared to the first 10 days

Answers

The following statements are true:

1. During the first 10 days the professor's standard deviation was more than 0.

4. It is impossible to tell anything about the professor's standard deviation for the first 10 days.

6. Considering all 11 days, the professor's standard deviation was higher than the standard deviation of the first 10 days.

How to explain the information

The standard deviation is a measure of how spread out a set of data is. In this case, the data is the prices of the value meals that the professor orders. If all 10 of the first meals cost $5.39, then the standard deviation would be 0.

This is because there is no variation in the data. However, on the 11th day, the professor orders a meal that costs $4.38. This adds variation to the data, which means that the standard deviation will be greater than 0.

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Which of the following graphs shows the
solution set to 2x < 6 and 3x + 2 >
-4?

Which of the following graphs shows thesolution set to 2x &lt; 6 and 3x + 2 &gt;-4?

Answers

Answer:

The third picture

Step-by-step explanation:

Solve for x in both equations

2x<6

Divide both sides by 2:

x<3

3x+2>-4

Subtract 2 from both sides:

3x>-6

Divide both sides by 3:

x>-2

There is this trick you can use when x is on the left side of the equation to find out which way to shade in you graph. Keep in mind this is only for the left side, it will not work if your variable is on the right.

When the symbol is facing left < then shade left, imagine it is pointing which way to shade. x<3 is represented by the 3 picture on the left. When the symbol is facing right > then shade right, again it is pointing which way to shade. x>-2 is represented by the 3 picture on the right.

The circles are not filled in because the symbol is < and > rather than \(\leq and \geq\). When it is greater than or equal to or less than and equal to (represented by the line under the symbol), then the circle is shaded in.

a square with area is inscribed in a square with area with one vertex of the smaller square on each side of the larger square. a vertex of the smaller square divides a side of the larger square into two segments, one of length , and the other of length . what is the value of ?

Answers

The value of is equal to the length of the side of the larger square minus the sum of the lengths of the two segments.

The value of is equal to the length of the side of the larger square minus the sum of the lengths of the two segments. This is because the area of the smaller square inscribed in the larger square is equal to the product of the side lengths of the smaller square. If a vertex of the smaller square is located on the side of the larger square, the side of the larger square is divided into two segments with one segment having length and the other having length . The side length of the larger square is then equal to the sum of the lengths of the two segments plus the side length of the smaller square, which is . Therefore, the side length of the larger square minus the sum of the lengths of the two segments is equal to the side length of the smaller square, or the value of is equal to two segments.

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Which measurements could not represent the side lengths of a right triangle?
F 25 feet, 60 feet , 65 feet
G 9 feet, 12 feet, 15 feet
H 20 feet, 25 feet, 30 feet
12 feet, 35 feet, 37 feet

Answers

the answer is H because if you use pythagorean theorem, A^2 + B^2 = C^2, that one is the only one that has a different C solution

Help me with steps please!

Help me with steps please!

Answers

Answer:

18, 36, 54

Step-by-step explanation:

Find the least common multiple of 6 and 9:

Multiples of 6: 6, 12, 18, ......

Multiples of 9: 9, 18, 27, ......

We see that 18 is the least common multiple of 6 and 9.

Additional multiples of 18 are 36 and 54.

If an integer is divisible by 6 and by 9 , then the integer must be divisible by 54.

How to estimate an integer which is divisible by 6 and by 9?

Consider the statement as a contradiction.

The assertion exists that any natural number divisible by 6 and 9 exists also divisible by 54.

Let us consider divisible to mean that the outcome of the division of the number and 54 provides another natural number. We can take the prime factors of 6 and 9 which are {2,3} and {3,3}. We can consider that the product \($2 \times 3 \times 3=18$\) exists a number that exists divisible by 6 and 9 but exists not divisible by 54. Another instance exists the product of \($2 \times 2 \times 3 \times 3=36$\) which exists also not divisible by 54.

Therefore, the correct answer is option e) 54.

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Eddie bought 3 train tickets 17.00 each. If he paid with three $20 bills, how much change did Eddie receive?

Answers

Answer:

Step-by-step explanation:

Think of it as if he paid for each ticket with one $20 bill.

He gets $3 change from each one so his total change is $(

in order for the billboard company to put up your advertisement, you must pay the company $25. Then, everyday that the advertisement is up, you must pay $15. Each week that the advertisement is on the billboard, at least 390 people will view your advertisement. What is the general equation of the cost of the billboard, where y is the cost and x is the number of days that your advertisement remains on the billboard?

Answers

please give brainliest

Answer:

The general equation of the cost of the billboard can be represented as follows:

y = 25 + 15x

In this equation:

"y" represents the cost of the billboard

"x" represents the number of days that your advertisement remains on the billboard

The fixed cost of $25 is added to the product of the daily cost of $15 and the number of days "x" that the advertisement is up.

Please note that this equation assumes a linear relationship between the number of days and the cost.

we have a random sample of size 459 from the population of current customers. suppose that the population mean of an interval-scaled measure of customer satisfaction is 0.66 and that the population proportion of those in the category of unhappy or very unhappy is 0.47 what is the mean of the sampling distribution of the sample proportion for those in the category unhappy or very unhappy? (round to 3 digits after the decimal point.)

Answers

0.470

To calculate the mean of the sampling distribution of the sample proportion for those in the category unhappy or very unhappy, you should follow the steps given below:

Step 1: Identify the values.n = 459p = 0.47Step 2: Determine the mean of the sampling distribution of the sample proportion of customers who are unhappy or very unhappy.μ = p = 0.47. Therefore, the mean of the sampling distribution of the sample proportion for those in the category unhappy or very unhappy is 0.470 (rounded to three decimal places).Note: A mean is a statistical measure that is used to calculate the central tendency of a dataset. It is defined as the average of a dataset or a set of numbers. The mean can be calculated for both interval-scaled measures as well as proportion.

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Find the value of x in the triangle shown below.

Find the value of x in the triangle shown below.

Answers

Answer:

50

Step-by-step explanation:

Because this is an isosceles triangle, the two bottom angles are equal.

180-80=100

100÷2=50°

a sequence is ---select--- sequence when the first differences are all the same nonzero number.

Answers

A sequence is arithmetic sequence when the first differences are all the same non-zero number.

An arithmetic sequence is a set of integers where each term is created by multiplying the preceding term by a defined number. The common difference of the series, which is a constant value, is the same for all following pairs of terms.

As a result, a sequence can be said to be arithmetic if its first differences all contain the same non-zero value. For instance, the arithmetic sequence 3, 6, 9, 12, 15,... has a common difference of 3.

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Let x = 0.147 and let y = 0.147

Answers

The value of y will be more as the number is repetitive, and both x and y initial three digits after the decimal are the same.

What is a rational number?

A rational number is one that has the form p/q, where p and q are integers and q is greater than zero. Some rational number examples are 1/3, 2/4, 1/5, 9/3, and so on.

The complete question is, Let x = 0.147 and let y = \(0.\overline{147}\).  Is x a rational number? Is ya rational number? Which is larger, x or y?

Given the value of x is 0.147. As it can be written in the form of a fraction,

\(0.147 = \dfrac{147}{1000}\), we can conclude that x is a rational number.

The value of y = \(0.\overline{147}\) can also be written in the form of a fraction,

\(0.\overline{147} = \dfrac{147}{999}\), therefore, we can conclude that y is also a rational number.

The value of y will be more as the number is repetitive, and both x and y initial three digits after the decimal are the same.

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Can anyone help me and if u don’t know how to do it don’t comment on my stuff

Can anyone help me and if u dont know how to do it dont comment on my stuff

Answers

Answer:

Step-by-step explanation:

(5x +x^4) -((3x^4 )+4x), open the parenthesis and distribute the negative sign

5x+(x^4) -(3x^4) -4x, combine like terms

(-2x^4) +x

If it costs $1.40 per square foot to install the garden, what is the cost for plan A? Plan B

Answers

Answer: is there an image to go along with the question

Step-by-step explanation:

A study on students drinking habits wants to determine the true average number of alcoholic drinks all FSU graduate students have in a one week period. We know from preliminary studies that the standard deviation is around 1.79. How many students should be sampled to be within 0.5 drinks of population mean with 95% probability?
A. 50
B. 49
C. 24
D. 25

Answers

To determine the sample size needed to estimate the population mean with a certain level of confidence and precision, we can use the formula:

n = ((z * σ) / E)^2

where:
- n is the sample size
- z is the z-score corresponding to the desired level of confidence (95% confidence corresponds to a z-score of 1.96)
- σ is the standard deviation of the population
- E is the margin of error (half the width of the confidence interval, which in this case is 0.5)

Plugging in the given values, we get:

n = ((1.96 * 1.79) / 0.5)^2
n = 48.93

Rounding up to the nearest whole number, we get:

n = 49

Therefore, the answer is B. 49 students should be sampled to be within 0.5 drinks of the population mean with 95% probability.

When Andrew goes bowling, his scores are normally distributed with a mean of 115 and a standard deviation of 11. What is the probability that the next game Andrew bowls, his score will be between 86 and 106, to the nearest thousandth?

Answers

When Andrew goes bowling, his scores are normally distributed with a mean of 115 and a standard deviation of 11 . Then the probability of his score being between 86 and 115 is 0.2047

Mean = μ = 115

SD = σ = 11

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 86

x2 = 106

So,

Z1 = ( x1- mean)/ SD

   = 86- 115 / 11

   = -29/11

   = -2.6363

Z2 =  ( x2-mean)/SD

    = 106 -115 /11

     = -0.8181

And We have to find area to the left of both points then their difference to find the probability.

So, Area to the left of z1 = 0.00427

Area to the left of z2 = 0.20897

Probability to score between 135 and 167 = z2-z1 =  0.20897-0.004270

                                                                                 = 0.2047

Hence,

The probability of his score being between 86 and 115is 0.2047

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point a is located at (-7, 1). the midpoint of the line segment ab is point (-3, 2). what are the coordinates of point b? question 3 options: (3, 1) (1, 3) (5, 11) (0, 4)

Answers

The coordinates of point b are  (1,3)

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

(x1,y1) = (-7, 1)

Let point b has coordinates (x2,y2)

M (-3, 2)

mid point formula:

M= [ (x1+x2)/2,   (y1+y2)/2 ]

(-3, 2) =  [ (-7+x2)/2,   (1+y2)/2 ]

=> -3= (-7+x2)/2                      ,  2 = (1+y2)/2

=> -6 = -7+x2                             => 1+y2 = 4

=> x2= -6+7 = 1                          => y2=4-1 =3

(x2,y2) = (1,3)

The coordinates of point b are  (1,3)

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Find the 8th term of the geometric sequence 3, 6, 12

Answers

Answer:

384

Step-by-step explanation:

You're multiplying everything bye two; 3, 6, 12, 24, 48, 96, 192, 384

In your reservoir, you have a production well which flows for 48 hours at 200 STB/day, and then shut-in for 24 hours. The following additional data are given : Pi = 3100 psi Ct = 15x10^-6 psi^-1 Bo = 1.3 bbl/STB ϕ = 15% μ=1.2 cp K = 45 md and h = 60 ft
a-) Calculate the pressure in this production well at 12 hours of shut in
b-) Explain how can you use superposition in time to analyze a pressure build-up test.

Answers

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.
b. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on?

Explain your answer.

Answers

Answer: no

Step-by-step explanation:

if diego car can hold 14 gallons and eveery day they use 0.6 0.6x25 is 15 which means that they can drive 15 days in all so 15-1.5 13.5 so they can only drive for 13.5 days

hope this helps :)

Answer:

No, Diego's family cannot drive the car for 25 days without the warning light coming on.

Step-by-step explanation:

Find how much fuel they will use in 25 days by multiplying 25 by 0.6, since the car uses 0.6 gallons each day:

25(0.6)

= 15

Subtract this from 14 to see how much fuel will remain, starting from a full tank:

14 - 15

= -1

The number is negative, meaning that driving the car for 25 days will use up all of the fuel. So, the warning light will come on.

No, Diego's family cannot drive the car for 25 days without the warning light coming on.

I need help,please.this is an interior angle problem.

I need help,please.this is an interior angle problem.

Answers

Answer:yes

Step-by-step explanation:

<BAC=<BDE

<BCA=BED

Hello, I am very new to python and I am having trouble with this
problem
The German mathematician Gottfried Leibniz developed the
following method to approximate the value of π:
π = 4(1 - 1/3 + 1/5

Answers

To approximate the value of π using the Leibniz method, you can write a Python program that calculates the sum of the series up to a certain number of terms. The more terms you include in the series, the closer the approximation will be to the actual value of π.

The Leibniz method, also known as the Leibniz formula for π, is an infinite series that converges to π/4. The formula is given by:

π = 4(1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ...)

To approximate π, you can calculate the sum of the series up to a certain number of terms. The more terms you include, the more accurate the approximation will be.

In Python, you can write a program that iterates through the terms of the series and accumulates the sum. Here's an example of how you can implement it:

def approximate_pi(num_terms):

   pi = 0

   sign = 1

for i in range(1, num_terms*2, 2):

       term = sign * (1/i)

       pi += term

       sign *= -1

   return pi * 4

num_terms = 100000  # Choose the number of terms for the approximation

approximation = approximate_pi(num_terms)

In this example, we define the approximate_pi function that takes the number of terms as an argument. The function iterates from 1 to num_terms*2 with a step size of 2, representing the denominators of the series. The sign alternates between positive and negative to include the alternating addition and subtraction. Finally, we return the calculated sum multiplied by 4 to obtain the approximation of π.

By increasing the value of num_terms, you can achieve a more accurate approximation of π. However, keep in mind that the Leibniz method converges slowly, so a large number of terms may be needed for a precise approximation.

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To calculate the interquartile range, Daniel subtracts the highest and lowest number within a given dataset. Is this method correct?​

Answers

Daniel's method is incorrect, as the interquartile range is given by the difference between the third quartile and the first quartile.

What is the interquartile range of a data-set?

The interquartile range of a data-set is by the difference of the 75th percentile(Q3) by the 25th percentile(Q1) of the data-set.

The quartiles are described as follows:

Q3: Median of the upper half of the data-set.Q1: Median of the lower half of the data-set.

From this, we get that the quartiles are related to the median of the set, that is, neither is given by the highest and by the lowest values, hence the interquartile range is given by the difference between the third quartile and the first quartile.

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what happens when specify a seed value for a random number generator? Your pro forma income statement shows sales of $958,000, cost of goods sold as $509,000, depreciation expense of $101,000, and taxes of $87,000 due to a tax rate of 25%.What are your pro forma earnings? What is your pro forma free cash flow?Sales$Cost of Goods Sold$Gross Profit$Depreciation$EBIT$Taxes (25%)$Earnings$ mariana has to write an epideictic speech for her speech class. which specific purpose statement is appropriate for this speech? what's the role of the Senate? Part I - Put F for fact or O for opinion. Copy any value words, but remember they can only be present in opinions.1. Last night a tree outside our house was struck by lightning.2. Installing a new hot-water heater is an easy job for the do-it-yourselfer.3. Richard Midon was the worst governor that state ever had.4. Ostriches do not hide their heads in the sand.5. Meghan is a bad influence on my youngest daughter.6. Each year more students at FFU are taken to the hospital for injuries while playing football than basketball.7. The voting age in America begins at eighteen.8. The Sony Playstation 2 has sold more video game consoles than any product of its kind.9. Charlie Chaplin never won an Oscar.10. Charlie Chaplin should have won an Oscar.11. There are fewer panda bears in the world than grizzly bears.12. Chicken that has not been properly prepared and cooked may cause salmonella.please help me i have to submit it soon . read the given news article underline the relevant ideas informationbonce and underpine the irrelevantvinformation twice There are 12 books on a shelf. 7of these books are new. (a) What is the ratio of new books to used books? (b) What is the ratio of all books to used books? Find the area of the triangle A. 27 m2B. 72 m2C. 36 m2D. 18 m2will mark brainliest! the gospel (words of jesus) alone is sufficient to rule the lives of christians everywhere- and additional rules made to govern mens conduct added nothing to the perfection already found in the gospel of jesus christ. what does the qoute above illustrate about the critiques against the catholic church? -people were unhappy about the money that the church was making-people were unhappy that the church was too involved in government -people felt like the church was not enough involved with the lives of their followers -people were unhappy about all the rules that the church created to govern their followers No one knows if the americans or the british fired the first shot at the american revolutions ___ in 1775. Die Schweiz hat 7,35 Mio, Einwohner und liegt zu groen Teilen in den Alpen, zwischen Deutschland im Norden, sterreich im Osten, Italien im Sden und Frankreich im Westen, 80% der Schweiz sind Berge. Die Hauptstadt der Schweiz ist Bern, knapp zwei Autostunden von Bem entfernt liegen die Berge Eiger (3 970 m), Mnch (4 107 m) und jungfrau (4 158 m). Die Region gehrt zum Weltnaturerbe der UNESCQ, Der Groe Aletschgletscher beginnt hier, Er ist 24 km lang. ? f(x) = x2. What is g(x)? all real numbers greater than or equal to -5 Pls helppppp 25 pt and brainiest for whoever answers it right. Find the longest side of a parallelogram with a perimeter of 66ft., If the sides measure 3x + 1 and 2x - 3. A nation's real GDP was $250 billion in Year 1 and $265 billion in Year 2. Its population was 120 million in Year 1 and 125 million in Year 2 Real GDP growth rate in year 2 is V Real GDP per capita in year 2 isA $2,083 per person. B. 6 percent. C. 3.4 percent D. $2,120 per person I need an answer to all three listed below! Ill mark brainliest to the best answer! :) 3v+4(v-2)= -29 solve for v Cora bought 80 feet of cable for $18.40. She needs 20 more feet. If the unit price is the same, howmuch will she pay for the extra 20 feet of cable?She will pay an extra $ meriwether lewis and william clark helped open the american frontier to settlement by displacing several indigenous groups. expanding knowledge of the continent. negotiating an important treaty with france. discovering a river route to the pacific ocean. The series 1 (4n + 3)3 n=1 is convergent. (A). According to the Remainder Estimate for the Integral Test, the error in the approximation s sn (where s is the value of the infinite sum and sn is the n-th partial sum) is Is < S (B). Find the smallest integer value of n such that this upper bound is less than 0.00002 . n =