Grayson spots an airplane on radar that is
currently approaching in a straight line,
and that will fly directly overhead. The
plane maintains a constant altitude of
7225 feet. Grayson initially measures an
angle of elevation of 19 to the plane at
point A. At some later time, he measures
an angle of elevation of 39° to the plane at
point B. Find the distance the plane
traveled from point A to point B. Round
your answer to the nearest tenth of a foot
if necessary.

Grayson Spots An Airplane On Radar That Iscurrently Approaching In A Straight Line,and That Will Fly

Answers

Answer 1

Using the slope concept, it is found that the distance traveled from point A to point B was of 12060.8 ft.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, the vertical change is of 7225 feet, with an angle of 19º, hence:

[tex]\tan{19^\circ} = \frac{7225}{x_A}[/tex]

[tex]x_A = \frac{7225}{\tan{19^\circ}}[/tex]

[tex]x_A = 20982.9[/tex]

At point B, the vertical change is of 7225 feet, with an angle of 39º, hence:

[tex]\tan{39^\circ} = \frac{7225}{x_B}[/tex]

[tex]x_B = \frac{7225}{\tan{39^\circ}}[/tex]

[tex]x_B = 8922.1[/tex]

The distance in feet is given by:

[tex]d = x_A - x_B = 20982.9 - 8922.1 = 12060.8[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623


Related Questions

I ONLY GOT 1 MIN!!!! PER QUESTION HELP

Chase wrote this description.



I saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.



What shape has Chase described?

a parallelogram
a rhombus
a trapezoid
a kite

Answers

Answer:

options c

trapezoid

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.What shape has Chase described?

trapezoid

Which quadratic function in vertex form has a vertex at (-2, 5) And passes through the point (2, -3)?

Answers

Answer:graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

Step-by-step explanation:

y

=

19

9

(

x

+

3

)

2

+

5

Explanation:

If an equation representing a parabola is in vertex form such as

y

=

a

(

x

k

)

2

+

h

then its vertex will be at

(

k

,

h

)

. Therefore the equation for a parabola with a vertex at (-3, 5), will have the general form

y

=

a

(

x

+

3

)

2

+

5

If this parabola also passes through the point

(

0

,

14

)

then we can determine the

a

parameter.

14

=

a

(

0

+

3

)

2

+

5

9

a

=

19

a

=

19

9

So our equation in vertex form is

y

=

19

9

(

x

+

3

)

2

+

5

graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

2(3x+2)=6x+4 linear equations

Answers

Answer:

0 or 6x+4=6x+4  (Technically no slope at all!!)

Step-by-step explanation:

You need to do distributive property and then solve for x!!

meaning the 2(3x+2) has to get distributive property process.

6x+4=6x+4

That shall be equal together!!! (You could stop here!!)


If continue:

6x-6x=4-4

0=0

An arithmetic sequence is given by 20, 17, 14, 11, ...
(a) Write down the value of the common difference, d.

(b) Find a100

(c) Find s100

Answers

 Answer:

The common difference equals:

[tex]-3[/tex]

The sum of the sequence equals:

[tex]62[/tex]

The explicit formula of this sequence is:

[tex]a_n=20+(n-1)*(-3)[/tex]

The recursive formula of this sequence is:

[tex]a_n=a_((n-1))-3[/tex]

The nth terms:

[tex]20,17,14,11,8,5,2...[/tex]

Step-by-step explanation:

An arithmetic sequence, or arithmetic progression, is a set of numbers in which the difference between consecutive terms (terms that come after one another) is constant. This difference is called the common difference.

1. Find the common difference.

Find the common difference by subtracting any term in the sequence from the term that comes after it.

[tex]a_2-a_1=17-20=-3\\a_3-a_2=14-17=-3\\a_4-a_3=11-14=-3[/tex]

The difference of the sequence is constant and equals the difference between two consecutive terms.

[tex]d=-3[/tex]

2. Find the sum.

Calculate the sum of the sequence using the sum formula:

Formula

[tex]Sum=\frac{(n(a_1+a_n))}{2}[/tex]

Plug in terms

[tex]Sum=(4*(a_1+a_n))/2[/tex]

[tex]Sum=(4*(20+a_n))/2[/tex]

[tex]Sum=(4*(20+11))/2[/tex]

Simplify the expression

[tex]Sum=(4*(20+11))/2[/tex]

[tex]Sum=(4*31)/2[/tex]

[tex]Sum=124/2[/tex]

[tex]Sum=62[/tex]

The sum of this sequence is [tex]62[/tex].

This series corresponds to the following straight line [tex]y=-3x+20[/tex]

3. Find the explicit form.

The formula for expressing arithmetic sequences in their explicit form is:

Formula: [tex]a_n=a_1+(n-1)*d[/tex]

Plug in the terms.

[tex]a_1=20[/tex] (this is the 1st term)

[tex]d=-3[/tex] (this is the common difference)

[tex]a_n[/tex]  (this is the nth term)

[tex]n[/tex] (this is the term position)

The explicit form of this arithmetic sequence is:

[tex]a_n=20+(n-1)*(-3)[/tex]

4. Find the recursive form.

The formula for expressing arithmetic sequences in their recursive form is:

Formula: [tex]a_n=a_((1-n))+d[/tex]

Plug in the d term.

[tex]d=-3[/tex](this is the common difference)

The recursive form of this arithmetic sequence is:

[tex]a_n=a_((n-1))-3[/tex]

5. Find the nth element.

[tex]a_1=a_1+(n-1)*d=20+(1-1)*-3=20[/tex]

[tex]a_2=a_1+(n-1)*d=20+(2-1)*-3=17[/tex]

[tex]a_3=a_1+(n-1)*d=20+(3-1)*-3=14[/tex]

[tex]a_4=a_1+(n-1)*d=20+(4-1)*-3=11[/tex]

[tex]a_5=a_1+(n-1)*d=20+(5-1)*-3=8[/tex]

[tex]a_6=a_1+(n-1)*d=20+(6-1)*-3=5[/tex]

[tex]a_7=a_1+(n-1)*d=20+(7-1)*-3=2[/tex]

Terms and topics:

Artithmetic Sequences

Aida bought a flower rug for her bedroom, as shown below.


Note: Figure is not drawn to scale

If a = 12 in, which of the following is closest to the area of the rug?
A.
298.08 in2
B.
257.04 in2
C.
334.08 in2
D.
370.08 in2

Answers

I think b but I’m not 100 percent sure I’m right

Tom is exchanging money for his trip to india. the exchange rate of us dollars to indian rupees is 1:45.897. tom needs 11,550 rupees. the currency exchange service he is using charges a fee of 7.25% after the exchange is made. how many us dollars will it cost tom to get the rupees he wants? round to the nearest dollar. a. $235 b. $252 c. $263 d. $270

Answers

The total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.

How to calculate the percentage?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

To calculate the percentage part of number, multiply it with the original number and divide with 100.

Tom is exchanging money for his trip to india. The exchange rate of us dollars to indian rupees is,

[tex]r=\dfrac{1}{45.897}[/tex]

Tom needs 11,550 rupees. The dollars need for 11550 Indian rupees are,

[tex]n=\dfrac{11550}{45.897}\\n=251.65[/tex]

The currency exchange service he is using charges a fee of 7.25% after the exchange is made. Thus the total dollar requied after the service charge is,

[tex]n=251.65+\dfrac{7.25}{100}\times251.65\\n=251.65+18.245\\n=269.895\\n\approx270[/tex]

Thus, the total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.

Learn more about the percentage here;

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When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller
squares is equal to the area of the largest square. Which three squares support this statement?
5 cm
3 cm

Answers

Answer:

Top right (one what has 16cm^2 and 9cm^2)

Step-by-step explanation:

The one in the top right and even though I cannot see what the area is of the biggest square, I can tell what it should be the two smaller squares combined

Hope this helps :)

What is the equation of the line that passes through the point (4,-6) and has a slope of -5/2?


Please I’m desperate I already tried and it was wrong I’ll mark Brainlist

Answers

Answer:

y = (-5/2)X + 4

Step-by-step explanation:

we know that the equation of a line is y = mx + b

m = -5/2

so

y = -5/2x + b

to find b:

-6 = -10 + b

b = 4

so

y = (-5/2)X + 4

Answer:

Use the point-slope form of a linear equation:

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

where:

[tex]m[/tex] = slope[tex](x_1,y_1)[/tex] = point on line

Given:

[tex]m=-\dfrac52[/tex][tex](x_1,y_1)=(4,-6)[/tex]

Substitute given information into the equation:

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

[tex]\implies y-(-6)=-\dfrac52(x-4)[/tex]

[tex]\implies y+6=-\dfrac52x+10[/tex]

[tex]\implies y=-\dfrac52x+4[/tex]

Therefore, the equation of the line in different formats is:

[tex]\textsf{slope-intercept form: }y=-\dfrac52x+4[/tex]

[tex]\textsf{standard form: }5x+2y=8[/tex]

You have a combination lock with 3 secret digits. Find the 3 correct digits using the following clues and enter your answer below. 128 One digit is right and in its place 157 One digit is right, but in the wrong place Two digits are right but both are in the 8 41 wrong place 362 All digits are wrong 62 4 One digit is right, but in the wrong place din​

Answers

Answer:

184

Step-by-step explanation:

in the number 128 the number eight is right it should be to the right then in the number157 one is right it should be to the left in 841 8and 1 are in the wrong position 8 - right 1 - left then in the number 624 the number 4 is right but in the wrong position it should be in the middle the answer is digit 1,8,4

The 3 secret digit numbers are 4, 7, and 8. Then the combination lock with 3 secret digits is 478.

What are permutation and combination?

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

You have a combination lock with 3 secret digits.

362 All digits are wrong then 3, 6, and 2 should not be there.

624 One digit is right but in the wrong place. Then 4 digit is right.

841 Two digits are right but both are in the wrong place. Then the place of 4 should be first.

128 One digit is right and in its place. Then the first place is occupied by 4 so 1 is incorrect. Then the third digit is 8.

157 One digit is right but in the wrong place. Then in the second place, the wrong digit is there then there is 7 in the second place.

The combination lock with 3 secret digits is 478.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

Antonio purchased a bin with the following measurements the diameter is 21 inches and the height is 36 inches. Solve terms of pi.

Answers

I don’t know ask your teacher about it they mast know that

A cuboid has volume of 120cm.
The area of the base of the cuboid is 30cm?
Work out the surface area of the cuboid.

Answers

Answer:

already answered

Step-by-step explanation:

go to this

https://brainly.in/question/16866439

Look at the figure.what is another way of naming line M

Answers

Answer:

Another way of saying line M is to say Line X or Y

Eleven more than three times a number is at most 62

Answers

Answer:

11-3×62=496

Step-by-step explanation:

by getting 8 by subtracting 11 and 3 yoy can do this

[tex]62[/tex]

[tex] \times 8[/tex]

The number is 17 and less and the inequality is 3x + 11 ≤ 62

Given,

Eleven more than three times a number is at most 62

We need to find the number and the inequality.

What are the inequalities?

< mean less than

> means greater than

≤ means less than or greater than

≥ means greater than or equal to

Find the meaning of the statement.

more than means adding

times means multiply

At most 62 means the maximum is 62 and we use ≤ 62.

Find the expression.

Eleven more than three times a number is at most 62

Let x be the number.

3x + 11 ≤ 62

Find x value.

3x + 11 ≤ 62

3x + 11  62

3x ≤ 62 - 11

3x ≤ 51

x ≤ 51/3

x ≤ 17

Thus the number must be 17 and less and the inequality is 3x + 11 ≤ 62

Learn more about how to solve an inequality here:

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if 0.002 is rewritten as 2 x 10x what is the value of x

Answers

Answer:

0.0001

Step-by-step explanation:

2 x 10 x 0.0001 equals 0.0002. If you want confirmation do on a calculator

Answer:

10,000

Step-by-step explanation:

you move the decimal point 3 places to the right to end up with 2 so add as many zeros as many times you moved the decimal point from the 0.002.

A line with a slope of 4 passes through (6,11). Complete the equation of this line in point-slope form.

Answers

First we plug in the x, y and slope to the slope int formula:

11= 4*6+b

Solve for b

11=16+b

B= -5

Answer in slope int form:

Y=4x-5

Answer in point slope form:

y- -1=4(x-1)

Or

Y+1=4(x-1)

Answer:

y – 11 = 4 (x-6)

Step-by-step explanation:

ttm

Help please!!! :')

Given a diameter of a circle at endpoints (8,-7) and (4,5), algebraically find the equation of the circle.

thank you smm <3

Answers

Answer:

(x-6)^2 + (y+1)^2=40

Step-by-step explanation:

see image. Use Midpoint Formula to find the center. Then use Distance Formula to find the diameter. Cut the diameter in half to find the radius. Use the circle formula to insert (h,k) the center and r, the radius to find the equation. See image.

Answer:  [tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

=========================================================

Explanation:

The x coordinates of the given endpoints are x = 8 and x = 4. Apply the midpoint to them to get [tex]\frac{x_1+x_2}{2} = \frac{8+4}{2} = \frac{12}{2} = 6[/tex] which is the x coordinate of the midpoint. I added them up and divided by 2.

Similar steps will have the y coordinate of the midpoint be

[tex]\frac{y_1+y_2}{2} = \frac{-7+5}{2} = \frac{-2}{2} = -1[/tex]

Overall, the midpoint of those given points is (6, -1)

This is the center of the circle because the two endpoints are part of a diameter.

-------------------------------------------------

Now turn to the template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

We will plug in the center (h,k) = (6, -1) and one of the endpoints for (x,y). Let's say we go for (x,y) = (4,5)

This leads us to the following:

[tex](x - h)^2 + (y -k )^2 = r^2\\\\(4 - 6)^2 + (5 - (-1) )^2 = r^2\\\\(4 - 6)^2 + (5 + 1 )^2 = r^2\\\\(-2)^2 + (6 )^2 = r^2\\\\4 + 36 = r^2\\\\r^2 = 40\\\\[/tex]

We don't need to isolate r itself. If you wanted, you could take the square root of both sides to see that the radius is [tex]r = \sqrt{40} \approx 6.3246[/tex]. However, again we don't need to solve for r entirely when forming the circle's equation.

With that [tex]r^2[/tex] value in mind, and the h & k values as well, we go from this template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

to this final answer

[tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

Factor the trinomial 6x^{2} + 5x - 25. Which of the following is a factor?

Answers

Answer:

its (3x-5)

Step-by-step explanation:

Answer:

C. (3x - 5)

Step-by-step explanation:

1. Find a solution pair that gives the sum of b (5):

-10 + 15 = 5

2. Break the expression into groups:

(6x² - 10x) + (15x - 25)

3. Factor out the common factor in each group:

2x(3x - 5) + 5(3x - 5)

4. Factor out the common pair (3x - 5) using the distributive property:

(3x - 5)(2x + 5)

hope this helps!

Romeo has a work that pays 100 pesos per 1 hour. How much would he make in 10 hours?

Answers

Answer: he would get 1000

Step-by-step explanation:

100 x 10 =1000

Answer:

$1,000

Step-by-step explanation:

Since he makes 100 pesos in 1 hour, all you have to do is multiply 100 by 10. When multiplying a number by 10, all you do is move the decimal point back one. In this case, our decimal point is imaginary, so when we move it back one, you just add a zero at the end of the number. That gives you 1000.

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. How many cookies are left unsold if they work from 6:00 am till noon.

Answers

Answer:

12

Step-by-step explanation:

20*2= 40 cookies per hour,

she is working 6 hours so she sells 240 cookies total

240-(38*6) = 12

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. 12 cookies that are left unsold and if they work from 6:00 am till noon.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour.

We need to find many cookies that are left unsold and if they work from 6:00 am till noon.

20 x 2= 40 cookies per hour,

she is working 6 hours so she sells 240 cookies

The total

= 240 - (38 x 6)

= 12

Learn more about the unitary method;

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The lengths of two sides of a triangle are 4 inches and 7 inches. What is a possible length, in inches, of the third side?

Answers

Answer:

well if im wrong then sorry but i think its 11 !!

Step-by-step explanation:

The possible length of the third side should be greater than 11.

What is triangle?

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.

Given that the lengths of two sides of a triangle are 4 inches and 7 inches.

We need to find the possible length of the third side,

So, according to the triangle inequality theorem,

For any given triangle, the sum of two sides of a triangle is always greater than the third side.

So, the sum of two sides = 4 + 7 = 11


Hence the possible length of the third side should be greater than 11.

Learn more about triangles click;

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Which of the following proves these triangles are congruent

Answers

Answer:

ASA

Step-by-step explanation:

ASA rule states that: If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

The image below shows the answer/explanation⬇️

Help I’m literally confused on these

Perpendicular Bisector Theorem

Answers

Answer:

UV = 10

Step-by-step explanation:

VX is a perpendicular bisector of the base UW , then Δ UVW is isosceles with the 2 legs being congruent , that is

UV = VW = 10

PLEASE HELP ASAP!!!

Answers

Answer:

V = 54π or V = 169.56 units³

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = πr²h

If we use 3.14 as pi we get this:

V = (3.14)×(3)²×(6)

V = 3.14×9×6

V = 3.14×54

V = 169.56

Since it is volume the units will be units³

So our final answer is 169.56 units³

If you wanted an exact in pi form you would do the same steps but not simplify pi:

V = πr²h

V = π×(3)²×6

V = π×9×6

V = 54π

Peter graphed two points given below on a coordinate plane.
(-6, 4), (3, 4)
What is the distance between the points?

Answers

Answer:

9

Step-by-step explanation:

Because the y-coordinates are the same but the x-coordinates are different so -6 to 3 would be 9 because -6 to 0 is 6 and 0 to 3 is 3 and 3 + 6 equals 9

Answer:

distance: 9 units

Explanation:

[tex]\sf distance \ between \ points \ : \ \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Here coordinates : (-6, 4), (3, 4)

substitute the following values and put into the equation

[tex]\sf \rightarrow \sqrt{(4-4)^2+(3-(-6))^2}[/tex]

[tex]\sf \rightarrow \sqrt{(3+6)^2}[/tex]

[tex]\sf \rightarrow \sqrt{81}[/tex]

[tex]\sf \rightarrow 9[/tex]

A vase has 4 yellow flowers, 4 red flowers, and 8 blue flowers. Donna took a flower smelled it and put it back ,then took another flower and smelled it. What is the probability that the first flower was red and the second flower was blue?

Answers

Answer:

1/8

Step-by-step explanation:

Since the flower was replaced, these two drawings are independent events and the final probability is the product of the two individual probabilities.

total number of flowers: 16

yellow: 4

red: 4

blue: 8

p(red) = 4/16 = 1/4

p(blue) = 8/16 = 1/2

p(red then blue) = 1/4 × 1/2 = 1/8

Answer: 1/8

Which expression is equivalent to 4+w+12w

Answers

Answer:

13w+4 or 4+13w

Step-by-step explanation:

w is the same as one then it will be 4+w(1)+12w =12w+w(1)=13w

4 over here does not have friend therefore it renains to be 4 =13w+ 4

Use the function f(x) = x2 − 2x 8 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 2 5 7 12

Answers

The difference between the maximum value of g(x) and the minimum value of f(x) is 5.

Given function is:

[tex]f(x)=x^{2} -2x+8[/tex]......(1)

What is the general form of a quadratic equation?

The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex].

As we know the minimum value of a quadratic function is [tex]\frac{4ac-b^{2} }{4a}[/tex] when a>0

For f(x) a>0 so minimum value of f(x) = [tex]\frac{4*1*8-(-2)^2}{4*1}[/tex]=7

From the graph, the maximum value of g(x) =12

So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5

Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.

To get more about quadratic functions visit:

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HELPPP WHATS THE PERMITER

Answers

Answer:

48 is the perimeter

Step-by-step explanation:

I gotchu

The perimeter would be 42in


A rectangular swimming pool is 17 meters long, 14 1/2 meters wide, and 5 1/2 meters deep. What is its
volume?

Answers

Answer:

1355.75 m

Step-by-step explanation:

Volume of a rectangle = length x breadth x height

Volume of recatngular swimming pool = 17 x 14.5 x 5.5

volume of rectangular swimming pool = 1355.75 m

What is the correct answer?​

Answers

Answer:

B

Step-by-step explanation:

When multiplying exponents with the same base, you add the powers together.

In B, that is exactly what they are showing when they do:

[tex]2^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}[/tex]

Other Questions
brainliest and 50 points!find the area of the regular polygonA) 696B)157.3C) 1235.2D) 946.4 Write and, or, but, or so to complete each of the following compound sentences. Read the excerpt from act 3, scene 1, of julius caesar. [caesar.] so in the world: 'tis furnished well with men, and men are flesh and blood, and apprehensive; yet in the number i do know but one that unassailable holds on his rank, unshaked of motion; and that i am he let me a little show it even in this that i was constant cimber should be banished, and constant do remain to keep him so. what is the best summary of this monologue? caesar says that he will eventually release cimber from exile because "men are flesh and blood, and apprehensive," and he thinks that all men deserve forgiveness. caesar explains that we are all flesh and blood and also apprehensive. he does not know any man who cannot be moved by reason, except possibly one. caesar refuses to reverse cimbers banishment. he says that, although the world is full of reasonable men, he is the only one who stands firm, and he will stick by his sentence to prove it. caesar explains that the world is full of men who are flesh and blood. they are capable of letting reason change their minds, and occasionally he is one of them who does change his mind. because cimber made a good argument, he will reverse his decision. Name one activity that humans do that causes weathering Water has several properties that make it unique amongst compounds and make it possible for all forms of known life to function. The graph provided depicts what happens to the density of water as the temperature gets colder. According to the graph, what happens to the waters density as it freezes and why? (SC.912. L.18.12)When the temperature of the water finally goes below 4C, the density of water decreases and as a result ice does not sink. The surface water freezes at 0C while the lower part remains at 4CWhen the temperature of the water finally goes below 4C, the density of water increases and as a result, ice doesnt sink. The surface water freezes at 0C and the water below freezes as well, allowing life to exist below frozen lakesWater continues to get denser as the temperature get colderThe properties of cohesion and adhesion are directly responsible for water expansion at 4C allowing aquatic life to survive under frozen lakes kirsty and Flo are raising money for charity; Kirsty raises /ive times as much as Fio, Tiesaamount they raise is 172.50. How much do they each raise? THANK U Problem To Solve:Scenario: you have a very bad head-ache so you run to the pharmacy to grab some medicine and are immediately over-whelmed with your options. You decide to buy the cheapest option to cure your headache.Availability: Excedrin is available as a 200 caplet bottle for $15.51 and each caplet contains 250- mg of acetaminophen (the active ingredient in Excedrin).Advil is available as a 300 tablet bottle for $15.00 and each tablet contains 200-mg of Ibuprofen (the active ingredient in Advil).Tylenol is available as a 225 pill bottle for $14.97 and each pill contains 500mg of a paracetamol (the active ingredient in Tylenol).Dosage Information:Acetaminophen is dosed as 240 mg per 35 pounds of body mass.Ibuprofen is dosed at 113 mg per 25 pounds of body mass.Paracetamol is dosed at 102mg per 15 pounds of body mass.Active ingredient information:Acetaminophen has the chemical formula: C8H9NO2Ibuprofen has the chemical formula C13H18)2.Paracetamol has the chemical formula C8H9NO2.How:Calculate the cost of treating your own headache for each medicine based on your own body weight = 130 pounds.Clearly write out and organize all the conversion factors, then write out the conversion for each medicine. Once you have concluded the cheapest option for curing your headache, calculate the cost per individual molecule of your pain reliever.Please help me solve this and write all the conversion factors, and write out the conversion for each medicine. Thank you! what is 445 fl oz into pints and why? Mr. Adams asked two random groups of 20 students each how many minutes they spent playing video games last night. The interquartile range (IQR) for Group A was 30 minutes and the IQR for Group B was 45 minutes. What can you conclude about the data Mr. Adams collected?A: The maximum is greater for Group B than for Group A.B: The data for Group B is more spread out than the data for Group A.C: The maximum is greater for Group A than for Group B.D:The data for Group A is more spread out than the data for Group B. The price of a machine depreciates by 10% everyyear. If the machine is bought for $18000 and soldafter 3 years, what price will it fetch? A bag has six balls labeled a,b,c,d.e and f . One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing the letter b,e or c . If there is more than one element in the set, separate them with commas. rectangular floor is 8 yd long and 3 yd wide. what is the area in square feet? Mr. Ferarra is planning a field trip to the history museum for all of the students at his middle school. The school's buses can only transport 144 students. Mr. Ferarra needs to rent more buses for the remaining 290 students. How did the government react to the collapse of the Penn Square Bank?A. left the market alone to recover.B. instituted new legislation.C. closed all banks across the country.D. arrested the owners of the bank. How do vaccines work if the pathogen in them is dead? Find the volume its homework I need help with Help, timed please!!The map shows migration routes to the west. Which effect of the Lewis and Clark expedition does this map show? Potential fertile farmlands Loss of territory to Mexico Future settlements of the west Gain of land east of the Mississippi CAN ANYONE HELP ME??????????? What neighborhood did most of the blacks lived in Tulsa? 3. Explain why the CO2 levels from automobiles andindustry are unable to be cycled into the carboncycle like normal cellular respiration.