Find the distance, d, between the point S(5,10,2) and the plane 1x+1y+10z -3. The distance, d, is (Round to the nearest hundredth.)

Answers

Answer 1

The distance from the point S with coordinates (5, 10, 2) to the plane defined by the equation x + y + 10z - 3 = 0 is estimated to be around 2.77 units.

What is the distance between the point S(5,10,2) and the plane x + y + 10z - 3 = 0?

The distance between a point and a plane can be calculated using the formula:

d = |ax + by + cz + d| / √(a² + b² + c²)

where (a, b, c) is the normal vector to the plane, and (x, y, z) is any point on the plane.

The given plane can be written as:

x + y + 10z - 3 = 0

So, the coefficients of x, y, z, and the constant term are 1, 1, 10, and -3, respectively. The normal vector to the plane is therefore:

(a, b, c) = (1, 1, 10)

To find the distance between the point S(5, 10, 2) and the plane, we can substitute the coordinates of S into the formula for the distance:

d = |1(5) + 1(10) + 10(2) - 3| / √(1² + 1² + 10²)

Simplifying the expression, we get:

d = |28| / √(102)d ≈ 2.77 (rounded to the nearest hundredth)

Therefore, the distance between the point S(5, 10, 2) and the plane x + y + 10z - 3 = 0 is approximately 2.77 units.

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Related Questions

Which doesn't belong and
why?
64
289 81 363 121

Answers

The number 363 does not belong to the set.

What is Square Root?

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

The given numbers are 64, 289, 81, 363 and 121.

The numbers 64, 289, 81 and 121 is a perfect square of integers.

64 = 8²

289 = 17²

81 = 9²

121 = 11²

But 363 is not a perfect square of any integer.

Hence the number which is odd in the list is 363.

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Yesterday, between noon and midnight, the temperature dropped by 29.6°F. If the temperature was -8.6°F at midnight, what was it at noon?

Answers

it was 21 F at noon. -8.6 + 29.6 = 21. Hope this helps!

Add the following integer. 1. (-78)(98)=
2. (45)(23)=
3. (67)(56)=
4. (98)(-73)=
5. (-971)(237)=

Answers

On adding the integers we get:

206812325-734

The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

For, (-78) + (98)

Step 1: Locate the first number, which is -78.

Step 2: Locate the second number, which is 98.

Step 3: Add the two numbers together by starting with the first number and counting up or down according to the sign of the second number. In this case, 98 is positive, so we count up 98 from -78.

Step 4: The answer is 20

Similarly, solving for the rest of the sub-parts we get:

2. 45+23=68

3. 67+56=123

4. 98 + (-73)=25

5. -971+237= -734

Therefore, On adding the integers we get:

206812325-734

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Marvin is about to play tag with his friend Paul in a circular field. Paul is away from Joshua, and the field has a diameter of 12m. How far is the distance between the two friends?

Answers

Distance between Marvin and Joshua is less or equal to 12 meter.

What is inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given,

Marvin and Joshua are about to play in a circular field.

Diameter of the field D = 12m

Let distance between two friends is x

Since, Diameter is the longest chord in a circle

Thus, x ≤ D

Distance between two friends ≤ 12 meter.

Hence, Marvin and Joshua are 12 meter or less far away from each other.

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What is the value of exponential 4?

Answers

The value of exponential 4 is 4^4, or 256. it means that 4 should be multiplied by itself 4 times.

In mathematics, an exponential is a number that is multiplied by itself a certain number of times. For example, when 4 is used as an exponential, it means that 4 should be multiplied by itself 4 times. This is written as 4^4, or 4 to the fourth power. This means that 4 is multiplied by itself 4 times, resulting in the value of 256.

Exponentials can be used to calculate the power of a number. For example, in the case of 4^4, 4 is the base number and 4 is the exponent. An exponent is the number of times a base number is multiplied by itself. In this case, the base number (4) is being multiplied by itself 4 times, resulting in a value of 256.

In addition, exponentials can be used to solve equations. For example, if we need to solve for x in the equation 4^x = 256, we can use the exponential 4 to determine the value of x. In this case, x = 4 because 4^4 = 256.

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The graph shows the location of the entrance to a state park each unit on the graph represents 1 km Rodrigo uses the graph to locate a waterfall the waterfall is located 3 km to the left and 4 km down from the park entrance Rodrigo says we ordered pair for the waterfall is three, nine use the drop-down menus to explain Rodrigo

Answers

The location of the waterfall on the graph will be (3,1). Instead of going down down,  Rodrigo goes 4 units upward direction.

What are the coordinates of a point?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x-axis (horizontal) and y-axis are the two axes that make up a coordinate plane (vertical).

Given that the location of the entrance is at (6,5).

To reach the waterfall, you need to go 3 km to the left and 4 km down from the park entrance.

The x-coordinate decreases to the left side of a point and increases to the right side of a point.

The y-coordinate decreases to a downward point and increases upward a point.

The x-coordinate of the waterfall is 6 - 3 =3

The y-coordinate of the waterfall is 5 - 4 = 1.

The coordinate that represents the location of a point is (3,1).

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1. During photosynthesis, what is the path or flow of energy among biotic and abiotic parts of an ecosystem?​

Answers

During photosynthesis, what is the path or flow of energy among biotic and abiotic parts of an ecosystem?

Marhall and Vickie are alepeople who earned the ame amount thi week, although Vickie made 6 more ale than Marhall. Marhall earn a bae of $186 plu $15 per ale. Vickie earn a bae of $48 plu $18 per ale. How many ale did Marhall make thi week?

Answers

Marhall made 9 ales this week, earning a base of $186 plus $15 per ale. Vickie earned a base of $48 plus $18 per ale. Since both of them earned the same amount, we can set up the equations

Marhall made 9 ales this week.

Step by explanation

We can use an equation to solve this problem.

Let x = number of ales Marhall made

Marhall's Earnings = 186 + (15 x)

Vickie's Earnings = 48 + (18 x)

Since both of them earned the same amount, we can set up the equations and solve for x:

186 + (15 x) = 48 + (18 x)

15x = 138

x = 9

Therefore, Marhall made 9 ales this week.

Marhall made 9 ales this week, earning a base of $186 plus $15 per ale. Vickie earned a base of $48 plus $18 per ale.

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Does anyone know how to find this out?? Thank you so much!

Answers

The solution set is (A) TV/RS = TQ/ RQ.

What is the similarity of the triangle?

If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.

We have given,

Triangle QRS and triangle QTV are similar,

ΔQRS ≈ ΔQTV

If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar.

so, TV/RS = TQ/ RQ

Therefore, The solution set is (A) TV/RS = TQ/ RQ.

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answer?????????????????

Answers

21/5 is the answer for this question

Darren randomly selected fifty 10th grade students at his high school and asked how they normally get to school. The results are shown in the
table.
Mode of
Number of
Transportation Students
Bus
38
Car
Walk
Which inferences can be made from the results? Choose all correct statements.
Approximately 3% of the 10th graders at Darren's school take
car.
E
Approximately 18% of the 10th graders at Darren's school walk.
C. Approximately 18% of all the students at Darren's school walk.
D. Approximately 38% of the students at
Darren's school ride the bus.
Approximately 76% of the 10th
graders at Darren's school ride the bus.

Answers

B} Approximately 18% of the 10th graders at Darren's school walk.

E} Approximately 76% of the 10th graders at Darren's school ride the bus. Options B and E are correct options

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Total students = 50
Number of students in bus = 38
Number of students in car = 3
Number of students in Walk = 9

Percentage student go to school by bus = 36 / 50 × 100% = 76%

Similarly,
Percentage students go to school by car = 6%
Percentage of students who go to school by walk = 18%

From the above calculation, the Correct options,
B} Approximately 18% of the 10th graders at Darren's school walk.

E} Approximately 76% of the 10th graders at Darren's school ride the bus.

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.

A car is traveling at a rate of 40 mph. What is the speed in feet per min

Answers

Answer:3520.000

Step-by-step explanation:

ft/min =mph * 88.00000

ft/min =40 * 88.00000

ft/min =3520.000

A rockinghorse has a weight limit of 60 pounds what is 95% of that

Answers

Answer: 57

Step-by-step explanation:

1. Multiply 95 and 60

2. You get 5700, then you divide by 100

3. 5700/100 = 57

(-6) to the power of -2

Answers

Answer: -1/36

Step-by-step explanation:

Answer: - 1/36

Step-by-step explanation: exponet rule a^-b=1/a^

A study finds that out of every 400 babies born in the world, 20 have some kind of major birth defect. What is the simplest way to assign random numbers to conduct a simulation based on this statistic?

Select the correct choice below and fill in the answer boxes to complete your choice.

Fill in the question mark for the answer you choose

A. Use 1 digit numbers 0-9, let 0- ? Represent babies born with birth defects and #?-? Represent babies born without a major defect

B. Use 1 digit numbers 0-9, let 0- ? Represent babies born with birth defects, #?-? Represent babies born without a major defect, and skip #?-9.

C. Use 2 digit numbers 00-99, let 00-?? represent babies born with birth defects and #??-?? Represent babies born without a major defect.

D. Use 2 digit numbers 00-99, let 00-?? represent babies born with birth defects, #??-?? Represent babies born without a major defect, and skip #??-99

Answers

This is equal to 0.04 plus 1.96 into root over 0.04 into 0.96 divided by 400 point. This is equal to 0.059, which is equal to 5.9 percent. Therefore, double 0 to 5.9 percent represent babies born with defect.

What is the Justification for the above?

According to one research, 28 out of every 400 kids born in the globe suffer some form of serious birth problem. To execute a simulation based on this data, the easiest approach to assign random numbers is to use 00-06 (7%) to identify the newborns with birth abnormalities.

It is to be noted that:

The sum total of births is: 400

The sum of defective babies = 28

Hence, the fraction or ratio of this is:

28/400

= 7/100

= 7%.

The implication here is that that 07-99 (93%) will represent the babies without birth defects.

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How is negative of an image obtained with intensity levels 0 l 1 with r and s being pixel values?

Answers

Negative of an image can be obtained by subtracting each pixel values from 1.

What is pixel value?

Pixel value is the numerical representation of a color in an image. It is the amount of brightness or darkness of a pixel in an image, usually ranging from 0 (black) to 255 (white). Pixel values are used to determine how an image should be displayed on a monitor or printed on a page.It is usually measure of brightness of pixel with the higher number indicating brighter pixel and lower number indicating darker pixel.

This can be done by subtracting the pixel values r and s from 1, so the new value of each pixel would be 1-r and 1-s. This process of subtracting each pixel value from 1 is known as “inverting”.

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Use the conversions given below to change 63 kg into stones.
Give your answer rounded to 1 dp.
1 kg = 2.2 pounds
1 stone = 14 pounds

Answers

Answer:

63kg x 2.2 = 138.6 pounds

138.6 pounds/14 = 9.9 stones

Step-by-step explanation:

Answer:

63kg×2.2=138.6 pounds

138.6 pounds/14=9.9

Which of the following is the solution of the equations: 2x+3y=3, 3x+2y=7​

Answers

The solution of the equations: 2x+3y=3, 3x+2y=7​ is x =0  and y =1.

Equation:

An equation is a mathematical formula containing two algebraic expressions on either side of an equal sign (=). It shows the equivalence relation between the formula written on the left and the formula written on the right. In any formula, L.H.S = R.H.S (left side = right side). We can solve equations to find the values ​​of unknown variables that represent unknown quantities. If a statement doesn't have an equals sign, it means it's not an equation. considered to be an expression.

According to the question:

Given in the question:

2x+3y=3                         --------------------------------------- (1)

3x+2y=7                         ---------------------------------------- (2)

Multiplying Equation (1) by 3 and (2) by 2, we get:

6x + 9y = 9                                 --------------------------------- (3)

6x + 4y = 14                                --------------------------------- (4)

Now,

Subtracting equation (4) from (3)

5y = 5

⇒ y = 1

Now, putting y = 1 in equation (1) we get:

   2x + 3 × 1 = 3

⇒ 2x + 3 = 3

⇒ x = 0

Therefore, x =0 and y=1.

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A rectangle has a width of x centimeters and a perimeter of 8x centimeters a square has sides of length 1/4 that of the length of the rectangle.

Find the perimeter of the square

Answers

The perimeter of the square is calculated to be (8 - x) cm

How to find the perimeter of the square

The perimeter of a square is calculated using the formula

= 4 * length

From the problem we have that the length of the square

= 1/4 length of rectangle

perimeter of rectangle

8 = 2(Length + width)

dividing through by 2

4 = L + w

substituting w = x

8 = L + x

L = 8 - x

length of square = 1/4 * 8- x = (8 - x)/4

perimeter of a square = 4 *  (8 - x)/4

perimeter of a square = 8 - x

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Why is 45 a prime number?

Answers

No, the given statement 45 is a prime number is false statement as 45 represents the composite number.

As given in the question,

Given number is equal to :

45

Prime numbers represents such numbers which is having only two factors one and the given number itself.

Prime numbers does not get exactly divided by any other integer.

Factors of 45 are equals to :

1, 3, 5, 9, 15, 45

It represents 45 has more than two factors.

And number 45 exactly get divided by 3, 5, 9, 15 .

So it is not a prime number rather it represents the composite number.

Therefore, the given statement 45 is a prime number is false statement as 45 is a composite number.

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A tenant’s monthly rent of $675 will be increased by 3% every year. To the nearest cent, what will be the tenant’s monthly rent in 3 years?

Answers

Answer:

$735.75

Step-by-step explanation:

The equation is:

A = P(1 + rt)

We know

P = $675

r = 3% = 0.03

t = 3 years

Let's solve

A = 675(1 + 0.03 x 3)

A = 675( 1.09)

A = $735.75

John is driving around town. When he reaches the gas station, he notes that he has traveled 11 miles. He reaches home 2 hours later and notes that he has traveled 30 miles. If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?

Answers

The correct equation for this given situation is,

⇒ d = 9.5t + 11

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

John is driving around town. When he reaches the gas station, he notes that he has traveled 11 miles.

And, He reaches home 2 hours later and notes that he has traveled 30 miles.

Now, Let d represents the distance and t represents the time, in hours

So we get;

Let the equation which model this situation,

⇒ d = a t + b

Where a and b are constant.

Let the gas station is the starting point.

So, at gas station t = 0 , d = 11

Hence,

⇒ 11 = 0 × a + b

⇒ b = 11

When he reaches home 2 hours later notes that he has traveled 30 miles.

And, with substituting with b = 20

⇒ 30 = 2 × a + 11

⇒2a = 30 - 11 = 19

⇒ a = 19/2 = 9.5

So, We get the equation,

⇒ d = 9.5t + 11

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A certain beverage company is suspected of underfilling its cans of soft drink. The company advertises that its cans contain, on average, 12 ounces of soda with standard deviation 0.4 ounces. For the questions that follow, suppose that the company is telling the truth. (a) Can you calculate the probability that a single randomly selected can contains 11.9 ounces or less? If so, do it. If not, explain why you cannot. (b) A quality control inspector measures the contents of an SRS of 50 cans of the company's soda and calculates the sample mean 7. Calculate the mean and standard deviation of the sampling distribution of x for samples of size n = 50. Interpret the standard deviation. (c) What is the shape of the distribution described in part (b)? Justify your answer. (d) The inspector in part (b) obtains a sample mean of x = 11.9 ounces. Calculate the probability that a random sample of 50 cans produces a sample mean amount of 11.9 ounces or less.
Previous question

Answers

a. We cannot calculate the probability, because we do not know the shape of the distribution.

b. The mean and standard deviation of the sampling distribution of x are 12 and 0.0566.

c. The shape of the distribution described in part b is symmetrical.

d. The probability that a random sample of 50 cans produces a sample mean amount of 11.9 ounces or less is 0.0386.

We do not know the shape of the distribution, so we cannot calculate the probability that a single randomly selected can contains 11.9 ounces or less. The question given have not told us that the distribution of individual cans was normal, and we cannot assume it is so; therefore, we cannot calculate its probability.

As given information the mean μx = 12.

And standard deviation σx = σ / √n = 0.4 / √50 = 0.566.

The shape of the distribution described in part b is symmetrical, because the two sides of the distribution are a mirror image of each other. Therefore, it is normal distribution.

Since the sample is large n = 50 and 50 > 30, so by CLT (Central Limit Theorem), the distribution of sample means is approximately normal N(12, 0.0566). So, P(x ≤ 11.9) = normalcdf (0, 11.9, 12, 0.0566) = 0.0386.

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Which expressions have a product of 10? Options A. 5/14x14, B. 5/6 x14, C. 3/5 x 20, 2/3 x 15. Please help this assignment is due tomorrow

Answers

The expressions that have a product of 10 are:

Option B: 5/6 x 14 = (5/6) * 14 = (514)/6 = 70/6 = 10

Option C: 3/5 x 20 = (3/5) * 20 = (320)/5 = 60/5 = 12

Option A: 5/14 x 14 = (5/14) * 14 = (514)/14 = 70/14 = 5

Option D: 2/3 x 15 = (2/3) * 15 = (215)/3 = 30/3 = 10

So options B and D have a product of 10.

What is the 15th digit of pi

Answers

Answer: 3

Step by Step Explanation:

Count 15 in places after the decimal.

3.14159265358979323

What is inequality Class 6 short answer?

Answers

Inequality is a situation in which people do not have the same rights, resources, or opportunities. It can be seen in many aspects of society, including income, education, health care, and access to resources.

Inequality

Inequality affects people in many different ways. It can limit access to education and employment opportunities, as well as health care, good housing, and basic services.

It can also lead to disparities in income and wealth, which can further limit opportunities for those in disadvantaged social classes. Inequality can have a negative impact on individuals, as it can limit their ability to access resources needed for a better life.

It can also lead to social unrest, as people may feel that they are not being treated fairly. Inequality can also lead to a lack of trust in government and institutions, which can further hinder progress and development. In order to reduce inequality, governments, businesses, and individuals must work together to create a more equitable society.

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WILL MARK BRAINLEST 40 POINTS Simplify three fifths times the quantity 1 plus the square root of 16 end quantity squared minus the quantity five minus two end quantity cubed.

−18
−12
36
42

Answers

The value of the expression is -5.84

How to find the value?

The question is mathematically expressed as follows

The question reads: three fifths times the quantity 1 plus the square root of 16 end quantity squared minus the quantity five minus two end quantity cubed

[(3/5*1 + √16)]² - (5-2)³

Simplify the brackets first

This implies that

(3/5 + 4)² - (3)³

Simplify further to have

[(3+20)/5]² - 27

⇒(23/5) -27

Simplify to get

529/25 - 27

= 21.16 - 27

=-5.84

Therefore the expression gives -5.84

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1) Find the Z-score for the data point X given mean μ and
standard deviation o. Round to two decimal places as needed
x=72
μ=63
0=3

Answers

The z score when x=72 , μ=63 , 0=3 is z=3

Why is z-score important?

Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.

What is the z-score formula used for?

Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.

According to the equation

z=x-u/sigma

we get z=3

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Bonnie spent a total of $77.77 on new clothes at a clothing store. She Brought 1 pair of sandals, 2 T-Shirts for 11.49 each, 1 pair for $32 The Tax on the purchase was 4.40. How Much did Bonnie pay for the pair of sandals

Answers

The total cost of a pair of sandals is given by the equation A = $ 18.39

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of pair of sandals be represented as A

Now , the equation will be

The total amount spent by Bonnie = $ 77.77

The cost of one shirt = $ 11.49

So , the cost of 2 shirts = 2 x 11.49 = $ 22.98

And , the cost of 1 pair = $ 32

The total tax on the purchase = $ 4.40

So , the cost of pair of sandals A = total amount spent by Bonnie - cost of 2 shirts - cost of 1 pair - total tax on the purchase

Substituting the values in the equation , we get

The cost of pair of sandals A = 77.77 - 22.98 - 32 - 4.40

On simplifying the equation , we get

The cost of pair of sandals A = $ 18.39

Hence , the total cost of sandals is $ 18.39

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Solve for X. M<1= (x+13)
M<2=39
M<3=(5x+4)

Answers

On solving the provided question, we can say that  using properties of triangle, the value of x is 7.

What is triangle?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

By using the property of triangle,

The exterior angle of the triangle is the sum of opposite two angle of the triangle.

Hence,

64 + 8x  = 18x - 6

10x = 70

x = 7

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A loan is being repaid with 25 annual payments of 300 each. With the 10th payment, the borrower pays an extra 1,000, and then repays the balance over 10 years with a revised annual payment. The effective rate of interest is 8%. Calculate the amount of the revised annual payment. PLSSSSSS HELP PLS!!!!!Booker T. Washington wrote about education in 1899. The Supreme Court's decision inBrown vs. Board of Education was made in 1954. Based on the information in thepassages, compare the state of education for black children at these two points inAmerican history. Use details from both passages to support your answer 5. explain when donated materials should be recognized as a contribution and as an expense by a not-for-profit organization. Which of the following best describes the means by which most of those people leaving death row since 1976 have left?a. Most were executed.b. Most received clemency.c. Most died from causes other than execution.d. Most had their sentence or conviction overturned by an appeals or higher court. A die is selected at random from an urn that contains two six-sided dice. Die number 1 has three faces with the number 3, while one face each has the numbers 1, 2, and 4. Die number 2 has three faces with the number 2, while one face each has the numbers 1, 3, and 4. The first five rolls of the die yielded the numbers 1,3,3,2, and 4, in that order. Determine the probability that the selected die was die number 2. What is the ph of a solution containing .12mol/l nh4cl and .03mol/l naoh? The pipeline plunge is reflected across thex-axis. what are the coordinates of its newlocation? electrolysis of an nacl solution with a current of 2.02 a for a period of 203 s produced 59.3 ml of cl2 at 652 mmhg and 27 c . calculate the value of the faraday from these data.2.00 A * 200 s = 400CN = P1V1RTN= (650/760) (.0596L)/ (.0821 L*ATM/Mol*K ) (300K)N=.00207mol Cl.00207 * 2 = .004139 Cl2400C /.004139 mol = 96638 Faraday The process of evaluating relevant information that changes operating income under alternative courses of action iscalled:A. cost-benefit analysisB. incremental analysisC. opportunity cost analysisD. CVP analysis Describe a walk along the number line that (a) is unbounded, and (b) visits zero an infinite number of times. Does a series corresponding to this walk converge? An ideal gas undergoes a spontaneous expansion at constant temperature. During this process, its entropy __________Select the correct answer:a) decreases.b) remains unchanged.c) increases.d) cannot be predicted from the data given Explain how delta T would be affected if a greater amount of surrounding solvent (water) is used, assuming the mass of salt remains constant? b. Explain how q_reaction would be affected if a greater amount of surrounding solvent (water) is used? Explain. If the following enthalpies are known: A + 2B rightarrow 2C + D delta H = -95 kJ B + X rightarrow C delta H = +50kJ What is delta H for the following reaction? A rightarrow 2X + D Brodifacoun is a rat poison with a LD50 = 0.35 mg/kg. It is mixed into rat bate (50mg/kg). How much rat bait (in kg) would be needed to reach the LD50 for a 129 lb muskrat? evidence that upper paleolithic people may have been more adapted to their environments than neanderthals includes which of the following? Companies should disclose all of the following in interim reports excepta. changes in accounting principles.b. post-balance-sheet events.c. seasonal revenue, cost, or expenses.d. basic and diluted earnings per share. A cylindrical rod has resistance R. If we triple its length and diameter, what is its resistance, in terms of R? Which of the following was the most immediate effect of the collapse of the communist regime in the Soviet Union?(A) United States involvement in wars in Iraq and Afghanistan(B) The Chinese communist government's institution of market-reform policies(C) The end of the Cold War(D) The expansion of the European Union to include countries in Eastern Europe Nicolas drove 500km from Windsor to Peterborough 5(1/2)hours. He drove part of the way at 100km/h and the rest of the way at 80km/h. How far did he drive at each speed? Let x - The distance travelled at 100km/hLet y - the distance travelled at 80km/h when considering the relationship among standard free energy change, equilibrium constants, and standard cell potential, the equation g=nfecell is _______. if it is shown that people who eat bananas are more likely to have diabetes, it does not necessarily mean that bananas cause diabetes, because __________ does not equal __________.