What is the distance between the points (7, 8) ank(-8, 0) on a coordinate grid?

Answers

Answer 1

The distance between the given two points on the coordinate grid is 17 units.

What is coordinate grid?

A coordinate grid has two perpendicular lines, or axes labelled just like number lines. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin.

Given that, are two points (7, 8) and (-8, 0) on a coordinate grid, we need to find the distance between the points

We know that, the distance between two points on a coordinate grid is given by;

D = √(x₂-x₁)²+(y₂-y₁)²

Here, x₁ = 7, x₂ = -8 and y₂ = 0, y₁ = 8

Therefore,

D = √(-7-8)²+(0-8)²

D = √(-15)²+(-8)²

D = √225+64

D = √289

D = 17

Hence, the required distance is 17 units.

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Related Questions

If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must
be brought to the hospital.

Answers

By using the Law of Syllogism, a conditional should be used to write this statement "If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must be brought to the hospital" as follows: B. If the baby has a fever, then the baby must be brought to the hospital.

What is the Law of Syllogism?

In Mathematics, the Law of Syllogism is sometimes referred to as reasoning by transitivity and it states that if two (2) statements are true, then a third true statement can be logically derived.

Mathematically, the Law of Syllogism follows a specific pattern and can be represented by the following conditional statements:

Conditional statement 1: If P, then Q (P ↔ Q).

Conditional statement 2: If Q, then R (Q ↔ R.

Conditional statement 3: If P, then R ( P ↔ R).

In this context, we can reasonably infer and logically deduce that a sick baby must be taken to hospital based on the given premise in accordance with the Law of Syllogism.

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Complete Question:

Use the Law of Syllogism to write a conditional for the following statement.

If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must be brought to the hospital.

answer choices

If the baby is sick, then the baby must be brought to the hospital.

If the baby has a fever, then the baby must be brought to the hospital.

If the baby has a fever, then the baby is sick.

How do you know if a triangle is sine cosine or tangent?

Answers

The three sides and three angles of a triangle must first be known before you can determine whether it is sine, cosine, or tangent.

The lengths of the sides of the triangle can be determined by employing the trigonometric functions sine, cosine, and tangent with these measurements.

For instance, you can use the sine, cosine, and tangent functions to determine the sides' lengths given the triangle's three angles. The length of the opposite side divided by the length of the hypotenuse is equal to the sine of an angle. The cosine of an angle is the product of the lengths of the sides that are adjacent and the hypotenuse. The length of the opposite side divided by the length of the adjacent side is the tangent of an angle.

The ratios of the sides can be compared to determine whether the triangle is a sine, cosine, or tangent triangle after these lengths have been calculated.

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does all the theorems SAS,SSS AND ASA have to apply so a triangle to be congruent?

Answers

It is not necessary for all three criteria (SAS, SSS, and ASA) to apply in order for two triangles to be congruent.

How to illustrate the information?

In order for two triangles to be congruent, all three pairs of corresponding sides must be equal in length and all three pairs of corresponding angles must be equal in measure. This is known as the "side-angle-side" (SAS) criterion for triangle congruence.

It is possible for two triangles to be congruent using only the SAS criterion, in which case you do not need to use the "side-side-side" (SSS) or "angle-side-angle" (ASA) criteria. However, it is also possible for two triangles to be congruent using either the SSS or ASA criteria, or a combination of all three.

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Solving one step equations:

Multiply or divide by the same amount on both sides so that the variable is by itself.

9i = -63

Answers

Answer;

i=-7

Step-by-step explanation;

TBH we have all we need its given to us in the question, divide both sides by the same amountt

9i=-63

divide by 9 to leave i alone

i=-7  

the one step equation is solved

Answer:

[tex] \sf \: i = - 7[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of i.

The equation is,

→ 9i = -63

Then the value of i will be,

→ 9i = -63

→ (9i) ÷ 9 = (-63) ÷ 9

→ (i) = (-7)

→ [ i = -7 ]

Hence, the value of i is -7.

The coefficient of x^2 in the expansion of (x+3)(x+k)(2x-5) is -3. Find the value of the constant k.

Answers

The coefficient of x² is negative 3. Then the value of the constant 'k' will be negative 3.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The coefficient of x² in the expansion of (x + 3)(x + k)(2x - 5) is -3. Then the product of the expressions is given below.

⇒ (x + 3)(x + k)(2x - 5)

⇒ (2x² + 6x - 5x - 15)(x + k)

⇒ (2x² + x - 15)(x + k)

⇒ 2x³ + x² - 15x + 2kx² + kx - 15k

⇒ 2x³ + (1 + 2k)x² + (k - 15)x + kx

Then the coefficient of x² is negative 3. Then the equation is given as,

1 + 2k = - 3

2k = - 4

k = - 2

The coefficient of x² is negative 3. Then the value of the constant 'k' will be negative 3.

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Use the drop-down menus to continue the pattern and to describe a feature of the pattern. Part A Complete the pattern. 33, 41, Choose... , Choose... , Choose... , 73 Part B Complete the sentence. The numbers in the pattern Choose... .

Answers

1) The complete arithmetic sequence is; 33, 41, 49, 57, 65, 73

2) The formula for the nth term of the sequence is;  aₙ = 33 + (n - 1)8

How to find the nth term of an arithmetic sequence?

The general formula for the nth term of an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

a is first term

d is common difference

n is position of term

We are given the sequence as;

33, 41, ____, ____, ____, 73

Using the arithmetic sequence of nth term, we can say that;

a₂ = 33 + (2 - 1)d

33 + d = 41

d = 8

Thus;

a₃ = 41 + 8

a₃ = 49

a₄ = 49 + 8

a₄ = 57

a₅ = 57 + 8

a₅ = 65

This gives the sequence as;

33, 41, 49, 57, 65, 73 with a formula for nth term; aₙ = 33 + (n - 1)8

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Willow wants to rewrite 36+27 using the greatest common factor and the distributive property

Answers

Willow's equation is written using the greatest common factor and the distributive property as follows

= 9(4 + 3)

What is distributive property?

The distributive property states that multiplying the total of two or more addends by a number produces the same outcome as multiplying each addend separately by the number and adding the products together.

Additive inverse involves adding which involves two numbers that has opposite sign. the addition lead to zero

The factors of 27 are 1, 3, 9, 27 and 36  1, 2, 3, 4, 6, 9, 12, 18, 36,

the greatest common factor is 9.

writing the equation gives

= 36 + 27

= 9 * (4 + 3)

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Answer:

Step-by-step explanation:

The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

36 + 27

Taking out 9 commons.

9 (4 + 3)

Thus,

The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.

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Can scatter plot have 3 variables?

Answers

Yes, a scatter plot can have three variables. This type of plot is called a 3D scatter plot and can be used to visualize the relationships between three numeric variables.

By plotting three numeric variables in a three-dimensional space, it is possible to see how the values of each variable interact with each other. For example, one could use a 3D scatter plot to compare the sales of three different products over time, or to see how the values of three different types of stock correlate with each other.

3D scatter plots also allow for the visualization of non-linear relationships, making them a powerful tool for exploring complex datasets. Additionally, 3D scatter plots can be used to observe how one variable impacts the other two variables, or to identify clusters and outliers in the data.

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Devon lends $2, 700.00 to Claudia at a simple interest of 12% per year. Claudia returned him $3,000.00 and a video game console after 3 years to clear the account. What is the price of the video game console?

Answers

To calculate the price of the video game console we need to calculate the simple interest first:

Simple Interest = (Principal x Rate x Time)

Simple Interest = (2700 x 0.12 x 3) = $972.00

Now we know the interest, we can calculate the price of the video game console by subtracting the interest from the total amount Claudia returned:

Price of the video game console = $3,000.00 - $972.00 = $2,028.00

So, the price of the video game console is $2,028.00

A store was having a Labor Day sale. It offered an extra 15% off before 8:00a.m. What fraction was taken off before 8:00a.m?

Answers

The fraction taken off before 8:00a.m was 15/100, or 15%.

What is fraction?

Fraction is a numerical expression which represents a part of a whole or, more generally, any number of equal parts. It is represented by two numbers separated by a line, with the first number indicating the number of parts and the second number indicating how many parts make up the whole. Common fractions are examples of fractions, such as one-half (1/2), one-third (1/3), two-thirds (2/3), and three-quarters (3/4).

This means that all items in the store were discounted by 15% before 8:00a.m. on Labor Day. This was an attractive offer for shoppers who wanted to get the best deals and discounts available. Customers could take advantage of the discounted prices and save money on their purchases. The store's Labor Day sale provided great savings for customers who arrived before 8:00a.m. on the holiday.

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17
Mimi has to solve problems on three math
assignments. The assignments contain 38,
39, and 40 math problems. Mimi has already
solved 30 math problems. How many more
math problems does she need to solve?

Answers

Answer:

Step-by-step explanation:

39 plus 38 eqauls 77 +40=107-30=87 hope this helped please mark me brainliest.   :)

The table shows the ratio that Gary used to make bottles of glitter glue.


Bottles Glue Glitter
1 4.6 2.3
4


How much glue and glitter would he need to make 4 bottles?
Gary would need 9.2 oz glue and 18.4 oz of glitter to make 4 bottles.
Gary would need 18.4 oz glue and 9.2 oz of glitter to make 4 bottles.
Gary would need 23 oz glue and 11.5 oz of glitter to make 4 bottles.
Gary would need 18.4 oz glue and 4.6 oz of glitter to make 4 bottles.

Answers

Answer:

The numbers that you gave are ordered weird on my screen, but it should be the second answer - 18.4 glue and 9.2 glitter

Step-by-step explanation:

Just multiply all the numbers by 4

4.6 x 4 = 18.4

4 + 4 + 4 + 4 = 16

16 + 0.6 + 0.6 + 0.6 + 0.6 = 18.4

2.3 x 4 = 9.2

2 + 2 + 2 + 2 = 8

8 + 0.3 + 0.3 + 0.3 + 0.3 = 9.2

(a) Simplify this expression. 7x² +9x²-x²​

Answers

7x²+9x²-x² = 15x²

use DMAS rule,

The DMAS rule describes the following arrangement of the mathematical function.

D- Division

M - Multiplication

A- addition    

S- subtraction

DMAS rule is used to make the binding order of infix notation explicit for people who are learning to do more than just 'sums' or 'products'.

So, by applying the above rule the solution is as follows:

first, we need to solve addition because there is no division and multiplication

as per the equation, it is the addition function

7x² + 9x² = 16x²

next,

now perform the subtraction function

16x²-x² = 15x²

therefore,

7x²+9x²-x² = 15x²

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What is the ratio of the length of the vertical side to the length of the horizontal side of each triangle​

Answers

In triangle PQR, the ratio of the vertical Length to the horizontal length is 1:1 and in triangle STU the ratio of the vertical length to the horizontal length is 1:2

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 4 girls you could write the ratio as: 1 : 4 (for every one boy there are 4girls) 1 / 5are boys and 4 / 5are girls.

In traingle PQR, the length of the vertical side is 2 and the length of the horizontal side is 2. therefore the ratio of vertical length to horizontal length is 2: 2

dividing through by 2

= 1 : 1

In triangle STU

The length of the vertical length is 3 and the horizontal length is 6. Therefore the ratio of the vertical length to horizontal length is 3: 6

dividing through by 2

= 1 : 2

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9-6.25clarence had 6.5 cups of cereal in a food container in his pantry. he opened a new box of cereal and poured in enough to fill the 10-cup container completely. let x represent how much cereal was in the box to start. which inequality describes the problem?

Answers

The inequality that describes the problem is x + 6.5 ≥ 10.

This means that the amount of cereal in the box, represented by x, must be greater than or equal to 3.5 cups (10-6.5=3.5) in order to fill the 10-cup container completely.  This means that the box of cereal must have contained at least 3.5 cups of cereal for Clarence to have enough to fill the 10-cup container completely. To calculate the amount of cereal in the box, we can subtract 6.5 from 10 to get 3.5 cupsTo solve this inequality, we add 6.5 to both sides of the equation, resulting in x ≥ 3.5. This means that Clarence needed at least 3.5 cups of cereal in the new box in order to fill the 10-cup container completely.

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What is the biggest 3 digit odd number?

Answers

Answer:

Step-by-step explanation:

999

what is the axis of symmetry of the function f(x)=x^2-8x+17

Answers

The axis of symmetry if the function f(x) = x² - 8x + 17 is solved to get 4

What is a quadratic function?

The function f(x) = ax² + bx + c, where a, b, and c are numbers and a is not equal to zero, is a quadratic function.

A parabola is a curve that represents a quadratic function on a graph.

The line that divides the function into two is the axis of symmetry. The axis of symmetry is given by the formula

= b / 2a

Comparing with the equation in the problem

b = 8 and a = 1

= 8 / (2 * 1)

= 8 / 2

= 4

the axis of symmetry is 4

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jessie hiked all 3 trails. the trail was 2 3/4 miles the second trail was 1 7/8 miles and the third was 1 1/3 how manty miles did jessie hike all together

Answers

The total distance hiked can be written as the mixed number:

(7 + 8/13) miles.

How many miles did Jessie hike all together?

We know that Jessie hiked all 3 trails, such that:

The first trail is (2 + 3/4) miles.The second trail is (1 + 7/8) miles.The third trail is (1 + 1/3) miles.

To find the total distance that Jessie hiked, we just need to add these mixed numbers, we will get:

(2 + 3/4) mi + (1 + 7/8) mi + (1 + 1/3) mi

We can group like terms, there we will get:

(2 + 3/4) mi + (1 + 7/8) mi + (1 + 1/3) mi

(2 + 1 + 1) mi + (3/4 + 7/8 + 1/3) mi

4mi + (13/8 + 1/3) mi

4mi + 47/13 mi

We can rewrite the fraction as:

47/13 = 39/13 + 8/13 = 3 + 8/13

Then the total distance hiked is:

(4 + 3 + 8/13)mi

(7 + 8/13) miles.

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Please help me plss I need it

Answers

Mean = 85.8
Mean = sum of the values divided by the number of values.

A person invests 1000 dollars in a bank. The bank pays 4.5% interest compounded semi-annually. To the nearest tenth tenth of the year, how long must the person leave the money in the bank until it reaches 1500 dollars?

Answers

On solving the provided question, we can say that - the interest ant the end of the time will be 45

what is interest ?

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

here

P = 1000

R = 4.5

T = 1

SI = PRT/100

SI = 1000 X 4.5 X 1/100 = 45

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3gh squared x 4g 3 h 3

Answers

Answer:  324 squared

Step-by-step explanation:

ok so you do 3 times 3 times 4 times 3 times 3

What is a bar graph? What is a Pareto chart? What is a bar graph? O A. A bar graph is a circular graph that uses bars to divide it into segments corresponding to each category The segments are proportional to the frequency of its category O B. A bar graph is a horizontal or vertical representation of the frequency or relative trequency of the categories. The height of each rectangle represents the of the frequency category's frequency or relative frequency O C. A bar graph represents the frequencies of values either from left to-right or right-to-left. The different segments of the bar are used to indicate the different frequencies of each category

Answers

b) A bar graph is a horizontal or vertical representation of the frequency or relative frequency of the categories. The height of each rectangle represents the frequency category's frequency or relative frequency.

A C. A Pareto chart is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency t of each rectangle represents the category's frequency or relative frequency

A bar graph is used to represent data that is categorical or numerical. It is typically used to compare different categories of data, such as sales figures for different products or the number of students in different grades in a school.

The data is typically represented in a horizontal or vertical bar chart, with the length of each bar representing the quantity of the data. The categories are usually arranged from highest to lowest in a bar graph.

A Pareto chart is a specific type of bar graph. It is used to show the distribution of data into different categories and the relative importance or frequency of each category.

The categories are typically arranged in order of importance, with the most important or frequent category first and the least important or frequent category last. The bars in a Pareto chart are usually drawn in descending order, with the highest category on the left.

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Complete question:

What is a bar graph? What is a Pareto chart? What is a bar graph? O A. A bar graph is a circular graph that uses bars to divide it into segments corresponding to each category The segments are proportional to the frequency of its category O B. A bar graph is a horizontal or vertical representation of the frequency or relative trequency of the categories. The height of each rectangle represents the of the frequency category's frequency or relative frequency o c. A bar graph represents the frequencies of values either from left to-right or right-to-left. The different segments of the bar are used to indicate the different frequencies of each category What is a Pareto chart O A. A Pareto chart is a combination of a pie chart and a bar graph O B. A Pareto chart is a display of two data sets side ty side where the heigh O C. A Pareto chart is a bar graph whose bars are drawn in decreasing order of trequency or relative trequency t of each rectangle represents the category's frequency or relative frequency

If the tangram piece F is 4 square units, what are the individual areas of pieces A, B, C, D, E, and G?
After finding the area of each of the pieces, identify the lengths of the sides of each of the polygons A, B, C, D, E, F, and G.
PLEASE HELP AND EXPLAIN

Answers

Wouldn’t A,B,C,D and E be 3 because they are triangles? AndG would be 4 since it’s a quadrilateral?

n divide 10 and 2 exponent = 0.123


n = _______

Answers

you need to determine the value of n that makes the equation true. First, you need to calculate 10 divided by 2 to the power of 0.123. This is equal to approximately 1.08. Therefore, the equation becomes:

n = 1.08

So, the value of n that makes the equation true is approximately 1.08.

Which image shows a reflection?

Answers

Answer: Option 4

Step-by-step explanation:

in option 4, the image is reflected, so it is a reflection.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer: 17

Step-by-step explanation:

Substitute 11 into m:

3 * 11 - (11 + 5)

= 33 - 16

= 17

Answer:

The answer is 17

Step-by-step explanation:

3(11)-(11+5)

33-16

=17

Three sisters receive money in the ratio of their ages.

Safia gets $18
Angelique is 6 years old and gets $9 Gabriella is 4 years old.

Work out how old Safia is.

Calculate how much money Gabriella gets.​

Answers

The money got by Gabriella is obtained as $6.

What is the application ratio and proportion?

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Suppose the age of Safia and money got by Gabriella be x and y respectively.

Then, the table can be formed as below,

Name                 Age                       Money

Safia                    x                              $18

Angelique           6                              $9

Gabriella             4                                y

As per the question, the proportionality relation for the ratios can be written as,

x/6 = 18/9

⇒ x = 12

And, 6/4 = 9/y

⇒ y = 6

Hence, the required money got by Gabriella is given as $6.

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Simplify the expression. Show your work.

x^2 + 3x - 28
____________
x^2 - 7x + 12

Answers

The simplified expression will be (x+7)/(x+3)

What are Quadratic Equations?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.

We shall simplify them individually;

x^2 +3x-28

x^2 + 7x - 4x - 28

x(x+7) - 4(x+7)

(x-4)(x+7)

x^2 - 7x+12

x^2 -4x -3x +12

x(x-4) - 3(x-4)

(x-3)(x-4)

Eliminating like terms, therefore;

(x-4)(x+7) / (x-4)(x+3) = (x+7) / (x+3)

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Pls help me on the number 11

Answers

The packaging 2 uses more material than packaging 1

The company can choose to package 12 cans one way instead of another to save cost

How to determine the packaging that uses more material

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

Package = 12 cans

Material 1 = 3 rows of 4

Material 2 = 6 rows of 2

The packaging uses more material has the greater perimeter

The perimeter is then calculated as

Perimeter = 2 * (Rows + Column)

substitute the known values in the above equation, so, we have the following representation

Material 1 Perimeter = 2 * (3 + 4)

Material 1 Perimeter = 14

Material 2 Perimeter = 2 * (6 + 2)

Material 2 Perimeter = 16

This means that the material 2 uses more material because 16 is greater than 14

The company can choose to package 12 cans one way instead of another because one package can use more material than the other and they need to save cost

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4/9 +5/6 please answer

Answers

Answer: 5/18

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 1/18 use a fraction calculator

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What immediate pre-operative concerns would the nurse address before the client is taken to the operating room Select the correct answer.Graph function f.Which key features apply to the graph?The graph has a y-intercept at and is increasing over the interval .The graph has a y-intercept at and is decreasing over the interval .The graph has a y-intercept at and is decreasing over the interval .The graph has a y-intercept at and is increasing over the interval . Based on the graph, which of the following best describes the general trend in music album sales from 1997 through 2009 ?A) Sales generally increased each year since 1997.B) Sales generally decreased each year since 1997.C) Sales increased until 2000 and then generally decreased.D) Sales generally remained steady from 1997 through 2009. How can I be like Jesus? You designed a program to create a username using the first three letters from the first name and the first fourletters of the last name. Usernames cannot have spaces and every user needs a unique name. You are testingyour program and found the need to go back, and change the design of your plan.What could have made you redesign your plan? Select 3 options.A user with a name like Bo Dod does not have enough letters in create a username without spaces.A user has no last name.Two users have the same username when their names are John Smith and Johnson Smithfield.A user's first name is longer than three characters.A user's last name is longer than four characters. A balanced scorecard for measuring company performance involves putting equal emphasis on the achievement of financial objectives, strategic objectives, and social responsibility objectives. entails setting both financial and strategic objectives and putting balanced emphasis on their achievement. helps prevent the pursuit of strategic objectives from dominating the pursuit of financial objectives. entails balancing the pursuit of good bottom-line profit against the pursuit of nonprofit objectives (although achieving profitability targets is nearly always given greater emphasis). is necessary to prevent the drive for achieving financial objectives from weakening the attention paid to social responsibility, community citizenship, and other worthy goals. 1.Renunciation is understooda. only by Hindus of the brahmin classb. to make one strongerc. to be the most effective life situation for working to achieve moksha d. to make one into a saint Analyze the United Statess motivations for expansion in the late 19th century. What do you think was the primary motivation? If you had a discussion in the late 1800s, would you have sided with the imperialists or the anti-imperialists? Without Computing, decide whether the value of each expression is much smaller than one, close to one, or much greater than one. 50 1/3 divided 50 1/4 What does Laertes do in an extreme expression of his grief during the funeral? Which of these can be expressed as a power of 5? Please show the stepsA) 22 + 32 B 5 + 5 + 5 + 5 +5 + 5C) 4 4 4 4 4 D) (7 - 2) (7 - 2) (7 - 2) Read the sentence. Rome has been called the eternal city for centuries because ancient citizens felt it was a utopian place with a monopoly of knowledge that would last forever. Which words should be changed to make the sentence more appropriate for a general audience?called and cityutopian and monopolycitizens and knowledgeancient and forever. Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.Lake Activity Number of CampersKayaking 15Wakeboarding 11Windsurfing 7Waterskiing 13Paddleboarding 54If a circle graph was constructed from the results, which lake activity has a central angle of 54? Kayaking Wakeboarding Waterskiing Paddleboarding 13. Read the following sentences from "The Black Sheep."Meanwhile, the ones who had become rich got into the honest man's habit of going to thebridge at night to watch the water flow by beneath it. This increased the confusion becauseit meant lots of others became rich and lots of others became poor.Now, the rich people saw that if they went to the bridge every night, they'd soon be poor.And they thought: "Let's pay some of the poor to go and rob for us." They made contracts,fixed salaries, percentages: they were still thieves of course, and they still tried to swindleeach other. But, as tends to happen, the rich got richer and richer and the poor got poorerpoorer.and