solve the following question

Solve The Following Question

Answers

Answer 1
Ba= 36
36+36=72
180-72=108
3rd corner of the triangle= 108
180-108=72
B= 72

Related Questions

Squares $ABCD$ and $EFGH$ are equal in area. Vertices $B$, $E$, $C$, and $H$ lie on the same line. Diagonal $AC$ is extended to $J$, the midpoint of $GH$. What is the fraction of the two squares that is shaded

Answers

The fraction of the two squares that is shaded exists 5/16 area shaded.

What is the difference between diagonal and vertices?

A diagonal is a line segment connecting two opposite corners (vertexes) of a polygon, however it is not an edge (side). In other words, it connects any two non-adjacent polygonal vertices. Therefore, by connecting any two vertices in a polygon directly (i.e., without using a side), we create a diagonal.

A line segment known as a diagonal joins two polygonal vertexes (corners), although it is not an edge (side). To put it another way, it joins any two polygonal vertices that are not adjacent. Therefore, by connecting any two vertices in a polygon directly (i.e., without using a side), we create a diagonal.

The triangle on the bottom exists 1/2 × 1/2 × 1/2  of the original area of the lower square = 1/8 of the lower square

2 square =  [1/2 (square) + 1/8 (square) ] / 2 square  

= 5/16 area shaded

Therefore, the fraction of the two squares that is shaded exists 5/16 area shaded.

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The fraction of the two squares that is shaded exists 5/16 area shaded.

What is the difference between diagonal and vertices?

A diagonal is a line segment that joins two opposed polygonal corners (vertexes), although it is not an edge (side). In other words, it joins any two polygonal vertices that are not neighbouring. As a result, we can make a diagonal by directly joining any two vertices of a polygon (i.e., without utilising a side).

Although it is not an edge, a line segment known as a diagonal connects two polygonal vertexes (corners) (side). In other words, it connects any non-adjacent pair of polygonal vertices. As a result, we can make a diagonal by directly joining any two vertices of a polygon (i.e., without utilising a side).

The triangle on the bottom exists 1/2 × 1/2 × 1/2  of the original area of the lower square = 1/8 of the lower square

2 square =  [1/2 (square) + 1/8 (square) ] / 2 square  

= 5/16 area shaded

Therefore, the fraction of the two squares that is shaded exists 5/16 area shaded.

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Here are several function rules. Calculate the output for rules 1–5 when you use -6 as the input for each rule. Simplify fractions and express in the form a/b if necessary and use the word pi for π
.

Answers

Answer: 13,36,-2,-2,pi

Step-by-step explanation:

You do exactly what it says for the rule to -6 to get your answer.

put this equation in Slope-Intercept form
Y + 2 = -5 ( X + 3 )

Answers

Answer: y=-5x-17

Step-by-step explanation:

Slope-intercept form follows the formula y-mx+b, where m is slope and b is y-intercept. All we have to do is to manipulate the equation to look like y=mx+b.

[tex]y+2=-5(x+3)[/tex]              [distribute right side]

[tex]y+2=-5x-15[/tex]               [subtract both sides by 2]

[tex]y=-5x-17[/tex]

Now, our equation matches y=mx+b with m=-5 and b=-17.

Can somebody help me solve this equation? Thanks.

Answers

Answer:

15w^2

Step-by-step explanation:

The reason being is note how it says portrait, so assume the shape of a square, because it says 3 inches on all sides, and it also mentioned 1.5 times w, so in turn, 15w^2

Refer to the attached image.

Equivalent fractions for 1 3/4 and 1 4/5 using 20 as the common denominator

Answers

Answer: 1 3/4 = 35/20 and 1 4/5 = 36/20

Step-by-step explanation:

1 3/4 = 7/4

Multiply top and bottom by 5 to get 35/20

1 4/5 = 9/5

Multiply top and bottom by 4 to get 36/20

b)
What is the Lowest Common Multiple of 42 and 90?

Answers

Answer:

630

Step-by-step explanation:

you can search it up if you want.

Answer:

630

Step-by-step explanation:

help help help help help help help help PLEASE

Answers

I’m sorry. I can’t read your paper! Ask your teacher for help

Which of the following best describes the figure with vertices (1, -4), (-2, 1), (3, 4) and (5, 2)?
Answer fast pls
Square

Parallelogram

Quadrilateral

Rectangle
Answer choices

Answers

The best description of the figure with the vertices given is, C. Quadrilateral

How to find the figure ?

The figure given is a Quadrilateral firstly because it has 4 vertices and therefore 4 points. A Quadrilateral has four points as well which means this figure is a Quadrilateral.

The figure is not a Parallelogram because no two values of y are the same. A Parallelogram would have two points that have the same y value as there would be parallel lines involved.

To find out if the shape is a rectangle or square, find the lengths of the vertices using a distance calculator.

The length of (1, -4), and  (-2, 1) is:

=  5.83 units

The length of (-2, 1), and   (3, 4) is:

= 5.83 units

The length of (5, 2) and  (3, 4) is:

= 2.82 units

The length of (5, 2) and  (1, -4 ) is:

= 7.21 units

The shape is neither a square nor a rectangle so it is a quadrilateral.

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expressions equivalent to -2(x-5)

Answers

Answer:

-2x + 10

Step-by-step explanation:

Apply the distributive law:  a(b - c) = ab - ac

-2(x - 5 ) = -2x - ( -2) x 5

= - 2x - ( - 2 ) x 5

- ( -2 ) x 5 = 10

= -2x + 10

Charles and Paul each have a computer repair business.
Charles charges a diagnostic fee of around 60$ plus 12$ per hour spent on computer repairs.
Y= 12x+60
Paul charges a diagnostic fee of 40$ plus 16$ per hour spent on computer repairs.
The situation is graphed in the picture
Y= 16x+40

*Which statement BEST describes the system of equations?

A. For repairs requiring 2 hours of work, the total amount charged by Charles will be 72$ and the total amount charged by Paul will be 84$

B. For repairs requiring 8 hours of work, the total amount charged by Charles will be 168$ and the total amount charged by Paul will be 156$

C. For repairs requiring 5 hours of work, the total amount charged by both Charles and Paul will be 100$

D. For repairs requiring 5 hours of work, the total amount charged by both Charles and Paul will be 120$

(This is just too much to look at for me so If anyone can figure it out I greatly appreciate it)

Answers

For repairs that take five hours to complete, Charles and Paul will each charge a total of $120.

What is the graph's equation?

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.

What are the three techniques for graphing equations?

For charting linear functions, there are three fundamental techniques. The first method involves tracing a line through a set of points that have been plotted. The second method makes use of the slope and y-intercept. Applying transformations to the identity function f(x)=x f(x) = x is the third step.

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How do you describe rational and irrational?

Answers

Rational and Irrational numbers can described as the number that can be expressed as [tex]\frac{p}{q}[/tex] are rational and which cannot be expressed are called as Irrational Numbers .

The Rational Numbers are defined as a number that can be represented in the form of [tex]\frac{p}{q}[/tex] where [tex]q\neq 0[/tex].

We can also , say that the fraction where the denominator and the numerator are integers and the denominator is not equal to zero are called as Rational Numbers .

For Example : [tex]\frac{2}{3} , \frac{4}{9}[/tex] represents a rational numbers .

The Irrational Numbers are defined as a real number that cannot be expressed as a ratio of integers .

For Example : [tex]\sqrt{2} , \sqrt{5}[/tex] represents a Irrational number .

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EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!

Answers

Graph of given system of equations is shown in figure with intersection point (2, 4).

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.

We have to given that;

The system of equation is,

⇒ 2x + y = 8

⇒ - x + 2y = 6

By solving both equation , we get;

⇒ (x, y) = (2, 4)

Thus, The graph of system of equation intersect on point (2, 4).

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How do you tell what type of triangle it is based on side lengths?

Answers

By adding the squares of the triangle's two smaller sides and comparing the result to the square of a largest side, you may determine whether triangle is acute, obtuse, or right.

Define the type of triangle?Equilateral triangle:

The equilateral triangle comes first. All three sides of this triangle are the same length, and each angle measures exactly 60 degrees. An equilateral triangle is Triangle A.

A right triangle:

This triangle has two acute angles, which are angles smaller than 90 degrees in length, but one right angle (as well as angle which measures 90 degrees). A right triangle is triangle B.

Isosceles triangle:

The isosceles triangle is another. This triangle has two sides that are the same length.

Scalene triangle:

The scalene triangle comes next. This triangle has three different lengths for its three sides.

Acute triangle:

The acute triangle is the next type of triangle and has three acute angles.

Obtuse triangle:

The obtuse triangle is the last triangle. Two of the angles of this triangle are sharp, and one of the angles is obtuse, which is defined as being more than 90 degrees.

Thus, by adding the squares of the triangle's two smaller sides and comparing the result to the square of a largest side, you may determine whether triangle is acute, obtuse, or right.

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About 3/4 of a person weight is water. If a student weighs 100 lbs, how much of his weight is water

Answers

Answer:

75 of his weight is water

Step-by-step explanation:

3/4 * 100

3 * 100/4

3 *25

The answer is 75

Answer: 75 pounds

Step-by-step explanation: yous start by dividing the students weight into fourths. One-hundred divided by four is 25. But we need to find three fourths so ties 25 by three you get 75

                                                                                -Damien Kubinec

How fast is a motorcycle that is going 6 miles in 4 minute?

Answers

Answer: 1.5 miles a minute
Because miles/time = how fast so...
6/4 = 1.5

Answer:90

Step-by-step explanation:

4) It was recommended that the trees be planted 10 feet apart. The school chose to plant the first tree 15 feet away from the property line fence and then to space the trees 10 feet apart accordingly. Write a linear equation with y representing the total distance (in ft.) away from the property line fence and x representing the number of trees used.

a) Write another linear equation for this situation but use a different form.

b) Graph the situation described in question #4.​

Answers

The linear function that model this problem is y = 10x + 15 and in standard form is 10x - y = -15

What is a Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a single variable. It is of the form ax + b = 0, where a and b are constants and x is a variable.Sometimes, a linear function can also be said to be a linear equation which is an equation that can be written in the form Ax + By = C, where A, B, and C are constants and x and y are variables. Linear equations are used to describe relationships between two variables, and they can be used to solve a wide range of problems.

In this problem, we can write an equation in slope-intercept form.

This can be modelled in y = mx + c

To model the problem,

y = 10x + 15

a) To rewrite the problem in another form of linear equation, we can write this in the standard form.

Ax + By = C

10x - y = -15

b) The graph of the problem is attached below

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What is the slope of the line that passes through the points (-5, 8)(−5,8) and (-5, 4)(−5,4)?

Answers

The slope of the line that passes through the points (-5, 8)and (−5,4) is undefined.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A line that passes through the points (-5, 8)and (−5,4).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂),

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (4-8) / (-5 + 5)

m = -4/0

The slope is undefined.

Therefore, the slope is undefined.

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Solve the proportion.
8 / 3 = g / 3
a. 1 / 8
b. 9 / 8
c. 8
d. 8 / 9

Answers

g equals 8 the bottom 3’s cancel out so your left with g=8

I GIVE THANKS AND MARK BRAINLIEST

What is the correct answer?
Please help.

Answers

Answer:if the siblings are less and the child are more u should remove  the percent from the difference and put it to the another one the one from  down there so the difference is 70% so try the same from down  there is 18 so it got to be 20

Answer:20

To determine the mean number of children per
household in a community, Tabitha surveyed
20 families at a playground. For the 20 families
surveyed, the mean number of children per
household was 2.4 .4 Which of the following
statements must be true?
A) The mean number of children per household in
the community is 2.4 .
B) A determination about the mean number of
children per household in the community should
not be made because the sample size is too small.
C) The sampling method is flawed and may
produce a biased estimate of the mean number
of children per household in the community.
D) The sampling method is not flawed and is likely
to produce an unbiased is not flawed and is likely
number of children per household in the
community.

Answers

True statement is number C.

What is biased and unbiased sample in statistics?

The method of sampling where a portion of population are given priority over the rest of the population is called biased sample.

In the unbiased sampling method almost, each population is valued, and they are given chance to be selected in the data list.

flawed sampling means the method of sampling is inappropriate such as survey works that taken in non-random way. As example, researchers start to ask people walking in the street.

Which statement is true as given in question?

The survey was taken at a playground on 20 families.

the survey estimated that mean number of children per household in the community was 2.4.

The main purpose of the survey was to determine the mean number of children per household in the community.

but the survey study was held at the playground and the sample size is too small.

The above data could not give the true estimation.

So, the sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.

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Please help me find x and y. May you also tell me the steps in which to do so.

Answers

Answer:

x=

y=31

Step-by-step explanation:

hope this helps

Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories. Carmel has 1 cup of popcorn and 11 oz of soda for a total of 162 calories. Determine the number of calories per cup of popcorn and per ounce of soda

Answers

The number of calories per cup of popcorn is 28 oz and the number of calories per ounce of soda is 14 oz.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let the number of calories per cup of popcorn be x and the number of calories per ounce of soda be y.

Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories.

3x+6y=162 ------(I)

Carmel has 1 cup of popcorn and 11 oz of soda for a total of 162 calories.

x+11y=182

x=182-11y------(II)

Substitute equation (II) in equation (I), we have

3(182-11y)+6y=162

546-33y+6y=162

546-162-27y=0

384-27y=0

384=27y

y=384/27

y=14

Substitute y=14 in equation (II), we get

x=182-11(14)

x=28

Therefore, the number of calories per cup of popcorn is 28 oz and the number of calories per ounce of soda is 14 oz.

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"Your question is incomplete, probably the complete question/missing part is:"

Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories. Carmel has 1 cup of popcorn and 11 oz of soda for a total of 182 calories. Determine the number of calories per cup of popcorn and per ounce of soda

Draw the image of quadrilateral ABCD under the translation (x, y) to (x-7, y+1).

help me please!

Answers

Is that jms??


7 left and 1 up from its original location

Step-by-step explanation: The notation (x, y) ⇒ (x-7, y+1) means that each x- coordinate has 7 subtracted from it. The x- coordinate of point B, for example, is O. Subtracting 7 makes it be -7.

The notation also means that each y-coordinate has 1 added to it. The y-coordinate of point B is -3. Adding 1 to it makes it -2. So, the image of point B will be (-7, -2), 7 units left and 1 unit up from the location of B.

The translated figure will be entirely within the 3rd

quadrant of the graph.

Comment on the answer shown

The green image is 6 units up and 1 unit right of the original. It looks like that may be an attempt at plotting the location of the image. Both the directions and the amounts are incorrect. The desired image is 7 units left and 1 unit up.

A boat is traveling due east for 130 miles. The boat travels another 72 miles at a bearing N38E. Determine the distance, direction angle, and bearing of the boat from its original location.

Answers

The distance of the boat is 191.2 miles, 12.8° and N12.8E from the original location.

Using Trignometry to find the boat's distance:

To calculate the distance, direction angle, and bearing of the boat from its original location, we will need to use trigonometry to determine the final position of the boat.

a) The distance traveled in the eastward direction is 130 miles. Then, using the bearing of N38E, we can calculate the northward and eastward distances traveled in the second leg of the journey. The bearing of N38E can be thought of as an angle of 38 degrees measured clockwise from due east.

Using trigonometry to calculate the northward distance traveled, we have,

(72 miles) * (sin 38°)

= 36 miles

And the eastward distance traveled is (72 miles) * (cos 38°)

= 59.04 miles.

The final position of the boat is at a distance can be calculated by:

130 miles east + 59.04 miles east

= 189.04 miles east and 36 miles north from the original location.

b) To find the distance from the original location, we use the Pythagorean theorem,

d =  [tex]\sqrt{189.04^{2} +36^{2} }[/tex]

d = 191.2 miles

To find the direction angle, we use arctan(north/east) = arctan(36/189.04) = 12.8°

Bearing is the direction angle measured clockwise from north. So, bearing = 12.8°

Hence, the final position of the boat is 191.2 miles, 12.8°, and N12.8E from the original location.

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in a school, students either study french, german or spanish. They study one language each. 11 percent of students study french 27percent students study spanish. what fraction of the students study German

Answers

Answer:

62%

Step-by-step explanation:

First, you got the formulate: 1-27%-11%

Second, calculate the difference: 0.73-0.11

Third, the sum is 0.62

Then you multiply 0.62 ×100\100

Write a single fraction: 0.62×100\100

Calculate the product or quotient: 62\100

100% to a percentage: 62%

That is your answer 62%

i) a butcher has some hamburger that is 80% lean and some that is 88% lean. he wishes to make 800 ponds of a burger mix that is 83% lean. how much of each type should he use?

Answers

by splanation, in be clearly what he taking about. the hamburger, usually. is 1/4 p.1/2 p. in triple hamburger on 4 by 4

The number of used hamburgers that is 80% lean is = 500

and the number of used hamburgers that is 88% lean is = 300.

Let the number of hamburger that is 80% lean be = x.

So the number of hamburger that is 88% lean is = 800 - x

According to question after the mixing all these the total percentage of lean in 800 ponds of burgers is 83%.

So, the suitable mathematical equation is,

80% of x + 88% of (800 - x) = 83% of 800

(80/100) x + (88/100) * (800 - x) = (83/100) * 800

80x + 88 (800 - x) = 83 * 800 [Multiplying 1000 with both sides]

80x + 88 * 800 - 88x = 83 * 800

88x - 80x = 88 * 800 - 83 * 800 = 800 (88 - 83) = 5 * 800

8x = 800 * 5

x = (800 * 5)/8 = 100 * 5 = 500

Hence the number of hamburger with 80% lean is 500 and the number of hamburger with 88% lean is = (800 - 500) = 300.

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solve (x-3)^2=49. select the values of x

Answers

Answer:

x1=-4 x2=10

Step-by-step explanation:

step 1: x-3 = +/- 7 <--- take the square roots of both sides of the equation and use both positive and negative roots

step 2: x-3 = -7

            x-3=7

step 3: x-3=-7--> x=-4

           x-3=7--> x=10

step 4:x1=-4, x2=10 is the answer

Find the value of p and q for which the system of equations represent coincident lines:
2x + 3y = 7
(p + q + 1)x + (p + 2q + 2)y = 4(p + q) +1

Answers

Answer: The value of p and q for which the system of equations represent coincident lines is p = 2 and q = 1.

Step-by-step explanation: To represent coincident lines, the two lines must be proportional. Therefore, the slope of the second line must be equal to the slope of the first line.

The slope of the first line is 3/2. The slope of the second line is p + 2q + 2/p + q + 1. Therefore, we set these two equal:

3/2 = p + 2q + 2/p + q + 1.

Cross multiplying, we get:

3(p + q + 1) = 2(p + 2q + 2).

Simplifying, we get:

3p + 3q + 3 = 2p + 4q + 4.

Combining like terms, we get:

p - q = 1.

Therefore, the value of p and q for which the system of equations represents coincident lines is p = 2 and q = 1.

Shelley drew a scale drawing of a neighborhood park. The volleyball court, which is 8 meters wide in real life, is 4 millimeters wide in the drawing. What is the scale factor of the drawing?

Simplify your answer and write it as a fraction.
I need IXL answer's PLEASE

Answers

The scale factor of the drawing of the neighborhood park would be = 2000.

What is a scale factor?

The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).

The width of the neighborhood park. in real life = 8 meters

To convert 8 meters to millimetres is to multiply by 1000

= 8 × 1000 = 8000 mm

The scale factor = 4 × X = 8000

make X the subject of formula;

X = 8000/4

X = 2000.

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4. Xin is getting an estimate from a printer for fliers for the drama club. Xin

orders color prints and negotiates a 10% discount on the print job for

the drama club. If f represents the number of fliers Xin orders, does

0. 10(17. 50 +0. 20f) represent the total cost of the print job? Why or why not?

Setup

Black & white print

Color print

$17. 50

$0. 09 each

$0. 20 each

Answers

yes, this 10(17. 50 +0. 20f) represent the total cost of the print job. This can be solved by using the concept of expression.

What is an expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.

There are three different expression types:

There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.

Given that,

10% discount on the print job

thus, 10% = 0.10.

Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).

so, we get: 0.10 × (17.50 + 0.20f)

Yes,  0.10 × ( 17.50 + 0.20f ) does represent the total cost of the print job.

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My grandmother gave me bad advice and good advice when I was in my early teens. For the bad advice, she said that I should become a barber because they made good money and listen to the radio all day. Honey they dont work como burros she would say every time I visited her. She made the sound of donkeys brain like that honey for the good advice she said that I should marry a Mexican girl no Okies hijo What is the main goal of free enterprise? I like tea. You like tea. The American colonists liked tea. But when Parliament imposed a tax on the their 'cuppa,' a group of outraged Bostonians dumped 342 crates of English-owned tea in the harbor. What was the name of the local political group that organized this demonstration? Write a sample thesis statement for each of the following cause-and-effect topics.1. The causes of bullying:2. The effects of being an only child:3. The effects of societys love for gadgets: This chart presents data on greenhouse gas emissions caused by human activity from 1990 to 2012 .which question would help clarify this evidence I GIVE THANKS AND MARK BRAINLIESTWhat is the correct answer? Please help. What 3 things did the First Continental Congress do? What explains the internment of Japanese Americans during ww2 ? find the increase in length,area or volume with:o.5m, 10(linear expansion),15(rise in temp), Which of the following is a feature that the stomach and the small intestine have in common?Multiple Choicea. Rugaeb. Circular foldsc. Three-layered muscularisd. Mucus-secreting cellse. Gastric pits Based on the passage, an experimental feature that distinguishes the PAC technique from the classic calorimetry technique based on thermometers is that PAC: Chapter 7: Our Country - India:Fill in the blanks:1. The southernmost Himalayas are know as2. Sahyadris is also known as3. The Palk Strait lies between the countries4. The Indian islands in the Arabian Sea are known as5. The oldest mountain range in India is theFill in the blanks:1. India has an area about2. The Greater Himalayas are also known as3. The largest state in India in terms of area is4. The river Narada falls into5. The latitude that runs almost halfway through India is Consider the following linear program. Max 1A + 2B s. T. 1A 6 1B 5 2A + 2B = 14 A, B 0 What is the relationship between mass thermal energy transfer kinetic energy and temperature? Rupert is obsessed with being famous. He tries out for every local play and is excited with the idea of being recognized by others. Based on this information, Abraham Maslow would claim that Rupert is likely preoccupied with his need for __________. raw sugar cane is taken into a process to create sugar, which is essentially sucrose. the raw cane is approximately 16% sucrose, 63% water, and the rest fiber by mass. juice from the cane is extracted by passing the cane through a series of crushers. about 5% extra mass of water is added to the sugar cane prior to this step to help in the extraction process. the crushed cane and liquid juice is sent to a filter press that creates a cake that contains 4% of the weight of the cane juice, which has a composition similar to the overall non-fiber content of the raw cane. the filtrate is sent to an evaporator where enough water is evaporated to obtain a pale yellow juice that is 41% water. a As calorie intake increases (eat more), then metabolism __________. And as calorie intake decreases (eat less), then metabolism __________. Exercise: Use the method of mathematical induction to prove that if n is a positive integer: 1+ 2 + 3 + ... +n = 1/6n(n+1)(2n+1) __________________________________________I am that gadfly which God has given the state, and all day long and in all places am always fastening upon you, arousing and persuading and reproaching you.__________________________________________Based on the context, what does the word reproaching in this excerpt from The Apology most likely mean?A.escaping fromB.causing injuryC.expressing disapproval Answer the following questions:a. How are judges selected in your state? Are they elected or appointed? If they are appointed, who appoints them?b. How long is the term of a judge in your state? Is it for a fixed term or for life?c. What are the provisions for removing a judge from office if he or she is deemed unfit?Choose to answer one of the following:a. Argue a case for appointing judges and then argue a case for having them elected. Try to spend equal time on each side of this issue, discussing some possible outcomes from each scenario.b. Learn about the Missouri Plan as a method of combining appointment and election. Write a description of how it works.c. Argue the case for a judge having a fixed term of office. Then argue the case for a judge being elected for life. What are some advantages and disadvantages of each system?Download the assignment below, complete, then submit to your teacher. Make sure to look at the rubric to make sure you are completing the project correctly.