if x varies inversly as the square root of y varies and x=1 when y=4, find;
relationship between x and y
the value of x when y =9
the value of y when x=12​

Answers

Answer 1

Answer:

x = 2/√y  or  y = 4/x²x = 2/3y = 1/36

Step-by-step explanation:

When x varies inversely as the square root of y, and x=1 when y=4, you want to find ...

the relationship between x and ythe value of x when y =9the value of y when x=12​.

Inverse variation

The given relation can be written using a constant of proportionality as ...

  x = k/√y  . . . . x varies as the inverse of the square root of y

The value of k can be found from the given values for x and y:

  1 = k/√4 = k/2

  2 = k . . . . . . . . . multiply by 2

Relationship

The relationship between x and y can be written as ...

  x = 2/√y

Solving for y, it can also be written as ...

  y = 4/x²

For y = 9

The value of x is ...

  x = 2/√9

  x = 2/3

For x=12

The value of y is ...

  y = 4/12² = 4/144

  y = 1/36

If X Varies Inversly As The Square Root Of Y Varies And X=1 When Y=4, Find;relationship Between X And

Related Questions

in a sale, prices are reduced by 12%. Hani bought a pair of boots for the sale price of £61.60. what was the original price of the boots?

Answers

Answer: $68.99

Step-by-step explanation:

12% of 61.60 is 7.39200, if you simplify the total, you would get 7.39. Then, you add the total with the sale price to get the original price. Which in this case is $68.99.

Find the value of x.
79
118°
109

Answers

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Find the value of x ?

y = 180 -71 = 109

x = 360 - (81+100+71)

x = 360 -252

x = 108

answer is B

x = 108 and y = 109

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The value of X is 108 and the value of y is 109. The algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division.

Find the value of x ?

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

y = 180 -71 = 109

x = 360 - (81+100+71)

x = 360 -252

x = 108

Therefore the value of x and y is x = 108 and y = 109

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K =
√2abc
1 + a²-b(squared)+c² - 5b
If a = 4, b = -2 and c = -1
evaluate K
K=

Answers

I’m not sure I fully understand your question but substituting the numbers into the equation you’ve given I’ve got this:
1+4^2- -2^2+ -1^2 - (5X-2)

1 + 16 - 4 + 1 - -10 =24

And then back to the question:

If the square root of 2 X abc

Abc = 4 X -2 X -1 =8
2 X 8= 16
Square root of 16= 4

OR!

2 X 24 (which we got using the equation earlier ) = 48
Square root of 48 = 6.92820323028

So K is either 6.92820323028 or 4 ??

EASY POINTS WILL GIVE BRAINLIST TO BEST ASWER!!
write the slope intercept form of the equation of the line through the given point with the given slope
through (-1, -4) slope = 5

Answers

Answer:

y=5x+1

Step-by-step explanation:

we already know the slope so we can put it in the slope intercept form

y=5x

And now we can put the coordinate points in there to find the y intercept

-4=5(-1)

-4=-5

We need to add 1 to make this equation true so the y intercept is 1

The equation will be

y=5x+1

Hopes this helps please mark brainliest

Answer:

y=5x+1

Steps are in the picture


3-107. Find common denominators and calculate each of the following sums.
b. +3
What is the least common multiple of 8 and 4? Of 5 and 3?
T
d. Explain how finding the least common multiple of two numbers can help
you add fractions.

Answers

Answer:

LCM(8,4)=8.LCM(5,3)=15. LCM can be used to create equivilant fractions, meaning you can add fractions with much more efficiency.

Step-by-step explanation:

a client who weighs 70 kg is receiving a solution of 0.9% sodium chloride (normal saline) 500 ml with dopamine 800 mg at 5 ml/hour. how many mcg/kg/minute is the client receiving? (enter the numeric value only. if rounding is required, round to the nearest tenth.)

Answers

1.904 mcg/kg/min is what the client receives.

The number of mcg/kg/minute = flow rate × concentration ÷ mass of client

Flow rate = 12 ml/ hour = 12 /60 = 1/5 = 0.2 ml/min

Formula:

Concentration = mass of dopamine/volume

mass of dopamine = 800mg

volume = 500ml

Concentration = 800/ 500

= 1.6 mg/ml

= 1.6 × 1000 mcg/mg

= 1600 mcg/mg

Here the mass of the client = 70kg

Now calculating mcg/kg/minute = flow rate× concentration÷ mass of client

= 0.08 ml/min × 1600mcg/ml ÷70 kg

= 320/70

= 1.904 mcg/kg/min

Therefore mcg/kg/min is 1.904.

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Are the following rectangles similar? Show your work pls (yk how teachers are)

Answers

No the two rectangles are not similar as the ratios of the sides are not equal.

Two rectangles are said to be similar if the ratio of the sides of the rectangles are equal.

Now let us consider the given rectangles:

In rectangle ABCD:

AB = 18

AD = 36

In rectangle WXYZ :

WX = 25

XY = 45

Now the ratio of the sides of the rectangle are:

AB/AD = 18 / 36 = 1 / 2

WX/XY = 25 / 45 = 5 / 9

Thus we can see that AB : AD ≠ WX : XY

Hence the rectangles are not similar.

If the ratios of the adjacent sides of two rectangles are equal, then they are similar. A rectangle is a quadrilateral in the Euclidean plane because it has four right angles.

Other definitions include a parallelogram with a right angle or a quadrilateral that is equiangular, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

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let x represent one number and let Y represent another number.

The sum of two numbers is -7.

If one number is subtracted from the other, their difference is 11.

Use the given conditions to write a system of equations.

Solve the system and find the numbers

Answers

Answer:

c I got you ok answer c

Step-by-step explanation:

bc I got this correct

Answer:

Its D, x+y=-7;x-y=11. Also Part 2 is 2,-9

Step-by-step explanation:

Just did it Pearson 2022

The price of a gallon of gasoline is $2.25. The price when Ryan's mother started driving was 1/5 of the current price. What was the price of gasoline when Ryan's mother started driving?

Answers

The price of gasoline when Ryan's mother started driving is $0. 45

What is a fraction?

A fraction can be defined as the part of a whole set, data or element.

The different types of fractions include;

Improper fractionsProper fractionsMixed fractionsSimple fractionsComplex fractions

Example of mixed fractions; 2 1/ 3

Example of simple fractions; 1/ 2

Example of proper fractions; 2/5

From the information given, we have;

Price of a gallon of gasoline is $2. 25

1/ 5 of $2.25

This is represented as;

1/ 5 × $2.25

Multiply the values

$0. 45

Hence, the value is $0. 45

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a party rental company has chairs and tables for rent. the total cost to rent chairs and tables is . the total cost to rent chairs and tables is . what is the cost to rent each chair and each table?

Answers

If the total cost to rent 2 chairs and 12 tables is $107 and the total cost to rent 5 chairs and 3 tables is $38, then the costs to rent each chair and table are $2.5 and $8.5 respectively. We can solve this question using elimination and substitution methods.

How do you prove that?

Elimination and substitution methods are involved in solving this problem. We're going to use the variables x for the cost of a chair and y for the cost of a table. The total cost to to rent 2 chairs and 12 tables is $107, so the equation can be written as 2x + 12y = 107. The total cost to rent 5 chairs and 3 tables is $38, so the equation can be written as 5x + 3y = 38.

To find the value for x, we need to eliminate the variable y first. Start by multiplying each term in the second equation by 4.

5x · 4 + 3y · 4 = 38 · 4

20x + 12y = 152

Then, subtract the terms in the second equation from their counterparts in the first equation.

2x   + 12y = 107

20x + 12y = 152 -

-18x  + 0   = -45

Finally, with a little bit of algebraic manipulation, we've got x = 2.5, hence $2.5 is the cost in to rent a chair.

-18x = -45

x = -45/-18

x = 2.5

What about the cost to rent a table? Well, we can substitute 2.5 for x in either of the equations to get the value for y. For instance, we can pick the equation 2x  + 12y = 107 and substitute x with 2.5 to isolate the variable y, like this:

2(2.5) + 12y = 107

5 + 12y = 107

12y = 107 - 5 = 102

y = 8.5

The value for y turns out to be 8.5. So the cost to rent a table is $8.5.

Your question is incomplete, but it was most probably "A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $107. The total cost to rent 5 chairs and 3 tables is $38. What is the cost to rent each chair and each table?"

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1 million divided by 2

Answers

500000. 500000 times 2 is 1 million so it is 5 hundred thousand
Answer:

500,000

                              OR

five hundred thousand

Which equation represents a line which is perpendicular to the line y=2x-5y

Answers

Answer:

Step-by-step explanation:

y=-3x

I could be wrong, but I hope it helps at

Helppppp super confused !

Answers

The expression that is equivalent is 6(y + 1) and 6y + 6.

The expression that are not equivalent are 3(x + 3) and 3x + 6 and x(x + 4) and x² + 4.

How to find equivalent expression?

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.

Now, let's check if the expression are equivalent by simplifying it.

3(x + 3) and 3x + 6

3x + 9 and 3x + 6

Therefore, the expressions are not equivalent.

6(y + 1) and  6y + 6

6y + 6 and 6y + 6

They are equivalent expression.

x(x + 4) and x² + 4

x² + 4x and x² + 4

They are not equivalent expression.

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Find g(x), where g(x) is the translation 1 unit left of f(x)=9x–8.

Answers

Where g(x) is the translation 1 unit left of f ( x ) = 9x – 8 then g(x) is

g (x ) = 9x + 1

What is translation?

Translation refers to a type of transformation that involve a straight line movement.

Movements as seen in translation includes

leftrightupdown

The up and down movements are on the vertical direction controlled by the y coordinate.

The left and right movements are on the horizontal direction controlled by the x coordinate.

When translating a graph, adding units moves the graph to the left and removing units moves the graph to the right.

hence we say

f(x) = 9x – 8

g(x) = f(x + 1)

= 9(x+1) – 8

= 9x + 9 - 8

= 9x + 1

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Describe the characteristics of each set of numbers
that make up the set of integers.

Answers

Positive and negative numbers are included in the category of integers, which is distinct from decimals and fractions.

What in math is an integer?

A whole number that can be positive, negative, or zero is called an integer. It is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers.

There are numerous types of numbers, including integers, whole numbers, rationals , real numbers, and natural numbers. Positive and negative numbers are included in the category of integers, which is distinct from decimals and fractions. It has the following qualities:

Numbers below zero are considered negative numbers.

In the set of integers, zero is included.

There are overlaps between the number categories.

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Jorge has 20 fish for his dog sled team that he wants to divide into smaller pieces. How many pieces of fish would there be if Jorge divided each fish into tenths?

2,000
200
2
0.2

Answers

Answer:

200

Step-by-step explanation:

20*10=200

200 is the answer at least that’s what i got

if f(x) = 2x - 4 find f(a^2)

Answers

Answer: [tex]f(a^2)=2a^2-4[/tex]

Step-by-step explanation:

Substituting [tex]a^2[/tex] for [tex]x[/tex], [tex]f(a^2)=2a^2-4[/tex].

Bacteria colonies can increase by 73% every 2 days. If you start with 55 bacteria microorganisms, how large would the colony be after 10 days?

Answers

Answer:

In order to complete the equation we need to use this method :      

Future Amount = I(1+r)^t

I=Initial Amount

R=Growth rate

T=Time periods

Now that we know that....

Letsss seee:

You started with 55 so

Future Amount = 55(1+r)^t

The growth rate is 73% so we have to convert to decimal so

Future Amount=55(1+.73)^t

Time period is 73% every 2 days and you want to see how large the colony would be after 10 days so you do 10/2:

Future Amount=55(1+.73)^5

Future Amount therefore equals 852.301407 BUT You have to round to the nearest whole number Sooo

The Answer is 852.

Step-by-step explanation:

Hope this helpss you Tony!

Answer:

How large would the colony be after 10 days?

852 is the answer.

Step-by-step explanation:

2.3 Find measure of angle by finding x first

Solve for x.

I need help I have forgotten how to solve for x..

Answers

Answer:

x=5

Whole angle/9x=45

Step-by-step explanation:

sum of all three angles in a triangle is 180 degrees so we can add all of these angles together and set it equal to 180 like this


9x+65+70=180

Simplify

9x+135=180

Subtract both sides of 135

9x+135=180

   -135.  -135

9x=45

since 9x equals 45 that is how much the angle is

Divide both sides by 9 to find x


9x=45

/9.  /9

x=5

Hopes this helps please mark brainliest

PLEASE HELP ANSWER JUST ONE OF THEM AT LEAST!

Polly buys a drink at a convenience store for $1. 80. She also buys a bag of chips.



(a) The ratio of the cost of the chips to the cost of the water is 4:3. Find the cost of the chips.

$



(b) Polly has $6 to spend. Work out the total amount she spends on a drink and chips as a fraction of the $6. Give your answer in its lowest terms.




(c) The $6 is 37. 5% less than the amount Polly had to spend last week. Calculate the amount she had last week.


$

Answers

Answer:

(a) $2.40

(b) Chips: 4/7

Drink: 3/7

(c) $9.60

Step-by-step explanation:

Polly buys a drink at a convenience store for $1. 80. She also buys a bag of chips.

(a) The ratio of the cost of the chips to the cost of the water is 4:3. Find the cost of the chips.

chips : water = 4 : 3

chips/water = 4/3

c/1.8 = 4/3

3c = 1.8 × 4

c = 0.6 × 4

c = 2.4

$2.40

(b) Polly has $6 to spend. Work out the total amount she spends on a drink and chips as a fraction of the $6. Give your answer in its lowest terms.

4 + 3 = 7

Chips: 4/7

Drink: 3/7

(c) The $6 is 37. 5% less than the amount Polly had to spend last week. Calculate the amount she had last week.

Last week it was 100%.

This week it is 37.5% less.

100% - 37.5% = 62.5%

This week, it is 62.5% of last week.

Let x = last week's amount.

62.5% of (last week's amount) = $6

62.5% × x = 6

0.625x = 6

Divide both sides by 0.625

x = 6/0.625

x = 9.6

$9.60

Isosceles Trapezoids in Summary
Check ALL of the statements that are ALWAYS true about ISOSCELES TRAPEZOIDS.

(Select all that apply.)

1. SIDES: One pair of opposite sides are parallel.

2. SIDES: One pair of opposite sides are congruent.

3. SIDES: A pair of adjacent sides are congruent.

4. ANGLES: Sum of the angles is 360°.

5. ANGLES: One set of opposite angles are congruent.

6. ANGLES: Consecutive angles are congruent.

7. ANGLES: All four angles are right angles.

8. ANGLES: Consecutive angles are supplementary.

9. DIAGONALS: One of the diagonals bisects the other.

10. DIAGONALS: Diagonals are congruent.

11. DIAGONALS: Diagonals intersect perpendicularly.

12. DIAGONALS: Diagonals bisect a pair of vertex angles of the shape.​

Answers

The statements that are always true about Isosceles Trapezoids:

One pair of opposite sides are parallel.

One pair of opposite sides are congruent.

The sum of the angles is 360°.

Diagonals are congruent.

Diagonals intersect perpendicularly.

What is an isosceles trapezoids?

A convex quadrilateral having one pair of opposite sides divided by a line of symmetry is known as an isosceles trapezoid. It is a particular instance of a trapezoid. Alternately, it can be described as a trapezoid whose base angles and both legs are identical in size.

The true statements are:

One pair of opposite sides are parallel.

One pair of opposite sides are congruent.

The sum of the angles is 360°.

Diagonals are congruent.

Diagonals intersect perpendicularly.

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Which value is the best approximation for the range in ages for the oldest 25% of viewers?

4
6
15
20

Answers

The best estimation for the range of the oldest 25% is 20, so the correct option is the last one.

Which value approximates the range for the oldest 25%?

The graph is separated in four parts, each part represents a 25% of the population.

The oldest 25% would be the last segment (the line in the right of the graph).

The range is defined as the difference between the largest value and the smallest value.

The segment starts at:

a = 35

And ends at:

b = 55

Then the range is something like:

55 - 35 = 20

The correct option is the last one.

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Can someone do this please I need help

Answers

Answer:

all are 0

thats why you should do y+4=4-7=×-7=×+4=0

Answer:

for #2 do b

Step-by-step explanation:

What is the equation of the line that passes through the point (1, -3) and has a
slope of -3?

Answers

The equation of the line is, y = -3x.

What is point slope form of the line?

A line's point slope form equation is y - y1 = m(x – x1). Consequently,

y - 0 = m(x - 0), or y = mx, is the equation of a line passing through the origin with a slope of m.

Let the line passes through the point (1, -3) and having slope of -3.

Consider, the point slope form of the line,

[tex]y-y_1=m(x-x_1)[/tex]

Plug, [tex](x_1, y_1) = (1, -3), m = -3[/tex]

So, the above equation becomes

[tex]y-(-3)=-3(x-1)\\y+3=-3x+3\\y=-3x+3-3\\y=-3x[/tex]

Hence, the equation of line that passes through the point (1, -3) and having slope -3 is y = -3x.

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Simplify: 5-(x-4)
A.-x + 9
B.-x- 7
C.x+4
D.-x-4

Answers

[tex]=5-(x)-(-4)\\=5-x+4\\=-x+5+4\\=-x+9[/tex]

Note the negative sign has to multiply every term in the brackets!

Option A is the answer

a triangle has sides with lengths of 10meters, 16 meters and 20meters. is it a right angled triangle

Answers

Answer:

It is not a right triangle.

Step-by-step explanation:

If the triangle were a right triangle, then the Pythagorean theorem would apply.

The Pythagorean theorem says: [tex]A^{2} + B^{2} = C^{2}[/tex]

If A = 10, B = 16, and C = 20, then [tex]10^{2} + 16^{2} = 20^{2}[/tex].

[tex]10^{2} + 16^{2} = 100 + 256 = 356[/tex]

[tex]20^{2} = 400[/tex]

In conclusion, [tex]356 \neq 400[/tex], so this triangle is not a right triangle.

I need help with number 7.

Answers

With the help of the given trendline equation, the length of the flight will be 3,613.34 miles.

What are equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, the length of the flight will be:

The trendline equation is: T = 458 + 0.15DT is the cost which is given as $1000 and D is the distance.

Now, calculate for D as follows:

T = 458 + 0.15D1000 = 458 + 0.15D1000 - 458 = 0.15D0.15D = 542D = 542/0.15D = 3,613.33

We can write as D = 3,613.34

Therefore, with the help of the given trendline equation, the length of the flight will be 3,613.34 miles.

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Solve the inequality for x. Show each step of the solution for full credit. (3 points - 2 points showing work, 1 point correct answer)

7x+1/2 >4

Answers

The value of x in the Inequality (7x + 1)/2> 4 is x > 1.

What is an inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤.

In this case, the inequality is given as:

(7x + 1)/2> 4

Cross multiply

7x + 1 > 2 × 4

7x + 1 > 8

Collect like terms

7x > 8 - 1

7x > 7

Divide

x > 7/7

x > 1

Therefore, x > 1.

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3c + bc - 2a if a=6,b=4, and c=10

Answers

Answer:58

Step-by-step explanation:

Swimming pool A holds 215 gallons
213 gallons of water. How many times as many gallons does pool a hold
than pool B? (Example 5)

Answers

2B times as many gallons does pool A hold than pool B.

What is gallons?

The gallon is a volumetric unit that is used in both imperial and American customary measurements.

The imperial gallon (imp gal), which is equal to 4.54609 liters and was once used in various Caribbean nations as well as the United Kingdom, Ireland, Canada, Australia, and Australia.

Given:

Swimming pool A has 2^15 gallons of water.

Swimming pool B has 2^13 gallons of water.

We have to find the number of times pool A hold than pool B.

It is obvious that Swimming Pool A holds more water than Swimming Pool B.

Consequently, we must determine how many times as many gallons Pool A holds as Pool B:

2^15 > 2^13.

Therefore,

A = 2^15,  B = 2^15

[tex]A = (\frac{2^1^5}{2^1^3}) B = 2B\\ A = 2B[/tex]

Hence the proof.

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Other Questions
selling the same goods to different targeted groups at different prices is called: group of answer choices cost customization. cost personalization. price discrimination. cost optimization. price gouging. 2) Calculate the Energy of each of the followinga) Radio waves with a wavelength of 3.0 x 10 nm (6.626 x 10-28 J)b) Microwaves with a wavelength of 3.0 x 107 nm (6.626 x 10-24 J)c) X-Ray at 1nm (1.99 x 10-6J)d) Violet at 400nm (4.97 x 10- J)e) Red at 700nm (2.84 x 10-J)f) Gamma rays at 1nm (1.98 x 10-6J) physical properties of matter ability to be stretched into a wire without breaking The cost C, in , of a monthly phone contract is made up of the fixed line rental L, in , and the price P, in , of the calls made. Enter a formula for the cost and, enter the cost if the line rental is 20 and the price of calls made is 15. the cumipmt function has the syntax cumipmt(rate, nper, pv, start, end, type). what do you enter for the type argument? An astronaut orbits the Earth in a space station.Which is a vector quantity Directions: QUICKLY skim the passage, and answer the question that follows. Asian and African Elephants. Did you know that elephants are the largest land animals alive today? They also have the largest brains of any land animal and are highly intelligent and sensitive creatures. Elephants are mammals which means they give birth to live babies instead of laying eggs. It takes 22 months for a baby elephant to be born, and those babies weigh in at a whopping 265 pounds! Once born, elephants have long lives of up to 70 years, sometimes longer. There are two main species of elephant: Asian and African. Asian elephants are smaller in size than Africans. They have smaller ears and usually only the male Asians have tusks. There are only about 60,000 Asian elephants in the world, only a tenth of the number of African elephants. The elephants you see at the circus or the one you may have ridden at an amusement park are Asians. They are easier to train because they have less aggressive personalities than African elephants. African elephants, on the other hand, are rarely trained because they are more sensitive and temperamental. The most notable feature of African elephants are their large ears. They use them as giant fans to keep themselves cool. African elephants are larger than Asians. Also, both the males and females have tusks. Their ivory tusks are larger than Asians as well, and because of this, they are more often hunted by poachers (people who illegally hunt and kill animals). Because of poaching and the destruction of their environment, many elephants are endangered. Because they are such large creatures and take so long to grow and reproduce, poaching has a significant impact on their population. Another problem in that large areas of forest are disappearing quickly because of human development. Elephants need to eat an average of 300 pounds of vegetation every day, and as large patches of forest disappear, so does their food supply. Top figure's caption: Asian elephant. Bottom figure's caption: African elephant. Based on your preview, what is the best goal-setting question for this passage?a.Why are African elephants harder to train than Asian elephants?b.How are elephants being affected by poaching and habitat loss?c.What are the similarities and differences between Asian and African elephants?d.Why are Asian elephants different than African elephants? Please select the best answer from the choices providedABCD how to Calculate the molar heat capacity of iron in J mol-1 C-1 . 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