In 2000, the number of people with a home phone in Indiana was 3,286,000. If the number of home phones have decreasing by 4% each year,
how many Hoosiers will have a home phone in 2011? Round to two-decimal places.
Hoosiers
Pause test

Answers

Answer 1

3286000x4/100=131440

131440x11=1445840

3286000-1445840=1840160

Answer: 1840160

this is the answer I got but for some reason the answer didn't turn out to be in decimal :( but I sware this is the answer I got


Related Questions

Solve for x.
3x +1=7
6
Ox=12
O x = 4
x = 16

Answers

Answer:

x = 2

Step-by-step explanation:

3x + 1 = 7

3x = 7 – 1

3x = 6

x = 6/3

x = 2

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

Answer:  [tex]\textsf{x = 2}[/tex]

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

Given:  [tex]\textsf{3x + 1 = 7}[/tex]

Find:  [tex]\textsf{Solve for x}[/tex]

Solution: In order to isolate x we need to subtract 1 from both sides and the divide both sides by 3.

Subtract 1 from both sides

[tex]\textsf{3x + 1 - 1 = 7 - 1}[/tex][tex]\textsf{3x = 7 - 1}[/tex][tex]\textsf{3x = 6}[/tex]

Divide both sides by 3

[tex]\textsf{3x/3 = 6/3}[/tex][tex]\textsf{x = 6/3}[/tex][tex]\textsf{x = 2}[/tex]

Therefore, the value of x is equal to 2.

The equation of a circle is (x-2)2+(y-6)2=25. What is the radius of the circle?

Answers

Answer:

radius = 5

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

(x - 2)² + (y - 6)² = 25 ← is in standard form

with r² = 25 ( take the square root of both sides )

r = [tex]\sqrt{25}[/tex] = 5

Drag each tile to the correct location. These graphs are all rational functions. Classify the graphs based on how many vertical asymptotes they have.

Answers

Step-by-step explanation:

a vertical asymptote goes up and down.

the horizontal ones (like the horizon) go left and right.

A

1 vertical asymptote at x = 0

B

2 vertical asymptotes at x = -1 and x = +1

C

no vertical asymptote (whatever vertical line you can think of, it will always really cross the graph in finite space)

D

1 vertical asymptote at x = 3

E

like A

F

2 vertical asymptotes at x = -1 and x = +4

which choice is equivalent to the expression below? square root of -64

Answers

Step-by-step explanation:

[tex] \sqrt{ - 64 } = - 8[/tex]

so the answer you got pls mark branlist

You cannot take square root of a Negative number. No perfect square is negative.

(a^3b^4/a^2b)^6=a^xb^y

Answers

Answer:x = 6 , y = 18

Step-by-step explanation:

Unit 11: volume & surface area homework 6: surface area of pyramids and cones

Answers

The answer for the following part is

What is Volume?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Surface Area of Cone,

= πrl + πr²

=3.14*8*15.77 + 3.14* 8*8

= 597.61804 mm²

Surface Area of triangular pyramid,

= apothem * slant height * length

= 73.6

Surface Area pentagonal pyramid

= B + LA

= 247.75 + 5 ( 1/2*12*19.5)

= 247.75 + 5 ( 117)

= 832.75 in²

Surface area of square pyramid

= P*l /2

= 2400 ft²

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At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working
properly, the temperature should remain constant over time. What word describes the slope of a line showing the
temperature of the freezer as a function of time in hours when the freezer is working properly?
positive
zero
negative
undefined

Answers

Answer:  zero

Explanation:

A slope of zero means there isn't any change in the y value. The graph isn't going upward, and it's not going downward either. We have a flat horizontal line. All horizontal lines have a slope of zero.

You can think of it like this

slope = rise/run = 0/1 = 0

rise = 0 means the y value isn't changing.

If b = 7, then the value of c is...

Answers

Answer:

7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The triangle shown is a 45-45-90 triangle. This name comes from the fact the 3 angle measurements are 45, 45, and 90 degrees.

If needed, you could find the missing angle using the equation: 180 - (45 + 90) = x.

Special Right Triangles

Special right triangles allow us to use formulas and shortcuts to find missing sides easily. Another type of special right triangle is the 30-60-90 triangle. While both of these are special right triangles, they have different formulas.

Formulas

All 45-45-90 triangles have 2 types of sides: the legs (a and b) and the hypotenuse (c).

c = b[tex]\sqrt{2}[/tex]b = a a = b

In these triangles, both of the legs are congruent.

Solving for c

Since we are given b, we can just plug the b-value into the formula that solves for c.

c = 7[tex]\sqrt{2}[/tex]

The answer cannot be simplified further, so this is the final answer.

Answer:

Second option

Step-by-step explanation:

It is a right triangle isosceles

a = b = 7

c = hypotenuse

[tex]c =\sqrt{7^{2}+7^{2} } =\sqrt{49+49} =\sqrt{2(49)}=7\sqrt{2}[/tex]

Hope this helps

one angle of a triangle measures 80° more than the smallest, while a third angle is twice the smallest. whats the measure of each angle?

Answers

Answer: The measure of each angle is  105°, 50°, and 25°.

Step-by-step explanation: The first step in solving this is writing down what you know.

In the phrase it tells you that "one angle of a triangle measures 80 more than the smallest", so we can say that one angle = 80 + smallest angle.

This can be simplified more to x = 80 + y

x = One Angle

y = Smallest Angle

Then if we continue with the phrase it says "a third angle is twice the smallest", so we can say that a third angle = 2(Smallest Angle).

This can be simplified more to z = 2(y)

z = Third Angle

We also know that a triangles angles add up to 180°, so we know x + y + z = 180.

So, with these equations we can now solve for x, y, and z.

The easiest way would be to simply just plug in x and z straight into the 180 equation as follows.

x = 80 + y

z = 2(y)

180 = x + y + z

180 = (80 + y) + y + (2y)

180 = 80 + 4y

100 = 4y

y = 25

Then we can use y to solve for the other two equations.

z = 2(25)     x = 80 + 25

z = 50         x = 105

After completing that you are left with the three angles of the triangle, 25, 50, and 105.

The graph of the function f(x) = (x-3)(x + 1) is shown.
-10-8-6
q
10-

Which describes all of the values for which the graph is
positive and decreasing?
all real values of x where x < -1
all real values of x where x < 1
all real values of x where 1 O all real values of x where x > 3

Answers

Answer:

x < -1

Step-by-step explanation:

Draw a parabola (the graph) passing trough two x-intercepts -1 and 3 and open up.

(sec²0 + tan²0)(cosec²0+cot²0) = 1sec²5 sin 0​

Answers

Answer:

865

Step-by-step explanation:

if minus than answer

urgent please help with this function!!

Answers

Answer:

g(-2) = 0
g(4) = -4

Step-by-step explanation:

-2 works in the second equation because it is within the restrictions, therefore it is 0.
4 works in the third equation because it is within those restrictions, therefor it is -4.

From one vertex of an n-sided polygon 5 different diagonals can be drawn which one of the following pairs of numbers are the number of sides (n) and the sum of measures of all interior angles of this polygon?

Answers

The number of diagonals drawn from the vertex of the polygon of n sides is (n−3).

The correct option is C)

⇒  A diagonal is a segment that connects two non-consecutive vertices in a polygon.

⇒  The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides.

What is the polygon?

A polygon is a plane figure enclosed by line segments called sides. Polygon is a 2d shape.

Regular polygons contain equal side lengths.

⇒  Let n be the number sides in the polygon.

⇒  So, the number of diagonals drawn from the vertex of the polygon of n sides is (n−3).

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Solve the following equations. 2x - y = 8 3x + y = 17​

Answers

Answer: (5, 2)

System of equations:

2x - y = 8

3x + y = 17

Solve for x:

2x - y = 8

3x + y = 17

________ +

5x = 25

x = 5

Plug in x to one of the equations to solve for Y

2(5) - y = 8

10 - y = 8

-y = -2

y = 2

HURRRRYYY
Hurry pleaseee use elimination show your work


15y - 9x =-9 -8y+9x=12

Answers

Add the two functions together to get

7y=-3
y=-3/7

Then plug in y to either function to solve for x, I’ll just use the left one

15(-3/7)-9x=-9
-45/7-9x=-9
-9x=-18/7
x=18/7/9

x=2/7

Find the measure of x.
42°
X
17
x= [ ?
Round to the nearest hundredth.

Answers

Answer:

18.88

Step-by-step explanation:

tan 42° = 17/x

x= 17/(tan 42°)

x = 17/(0.9004)

x = 18.88

Hi 4 questions, about inequality’s and y intercepts and slope. Only 4 questions :)

Answers

The slope and y-intercept will be the negative 5/2 and 4.

The complete question is attached below.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The equation is given below.

y > -(5/2)x + 4

The slope and y-intercept will be the negative 5/2 and 4.

The graph is also attached below.

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Which best explains the formula? the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector. the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector. the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector. the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answers

The sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Area of a sector

The coloured portion of the circle is known as a sector. The formula for calculating the area of a sector is given as:

Area of a sector = θ/360 * πr²

where

θ is the central angle

πr² represents the area of a circle.

Therefore the best statement that explains the formula is expressed as the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

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Answer:

Its A edge 2023

Step-by-step explanation:

Please help!!! I will give u brainiest

Answers

Answer:

(2,3) ; (-2.11)

Step-by-step explanation:

Answer:

(2, 3); (-2, 11)

Step-by-step explanation:

f(x) = x² - 2x + 3

f(x) = -2x + 7

f(x) = f(x)

x² - 2x + 3 = -2x + 7

x² = 4

x = ±2

x = 2

f(2) = -2(2) + 7 = -4 + 7 = 3

x = -2

f(-2) = -2(-2) + 7 = 4 + 7 = 11

Answer: (2, 3); (-2, 11)

The number of days to renovate a house, with 6 men, doing the job is 8 days. How many men need to work on the job if it takes 12 days to complete it ?

Answers

Answer:

9 men

Step-by-step explanation:

If 6 men are required to complete a job in 8, than 9 men would be required for a 12 day job.

12-8=4 which is half of 8

Half of 6 is 3

6+3=9

Answer:

4 men

Step-by-step explanation:

• Let x be the number of men needed to do the work I need 12 days.

•• it’s clear that the two variables (number of men and number of hours are in inverse proportion)

•• Which means their product is always equal to a constant.

Therefore

12 × x = 6 × 8 = 48

Then

x = 48 ÷ 12

  = 4

Find the nth term of this number sequence
1, 7, 13, 19, ...

Answers

Answer:

now we have to follow up with the formula n² - n¹

which is 7-1= 6

n³-n²

which is 13-7=6

so therefore the nth term=6

The function f(x) = -√x is shown on the graph.
-6
43
4-
N
-7-6-5-4-3-2-₁ 1 2 3 4 5 6 7 x
-2+
-3-
-4
Which statement is correct?
The domain of the function is all real numbers less
than or equal to -1.
The range of the function is all real numbers greater
than or equal to 0.
O The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.

Answers

Answer: The range of the function is all real numbers less

than or equal to 0.

The correct statement for the given function f(x) = -√x is "The range of the function is all real numbers less than or equal to 0." So, the correct option is C.

The domain of the function is all real numbers that are greater than or equal to 0 but we know that the square root of a negative number is in the real number system.

The graph of the function shows that for each positive input i.e. the range values we get the output values that are negative or zero.

Therefore, the range of the function is all real numbers less than or equal to 0, which is option C.

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Choose the end behavior of the graph of each polynomial function.

Options
Falls to the left and rises to the right
Rises to the left and falls to the right
Rises to the left and rises to the right
Falls to the left and falls to the right

Answers

Using limits, the end behavior of the functions are given as follows:

a. Rises to the left and falls to the right.

b. Rises to the left and rises to the right.

c. Falls to the left and rises to the right.

How to find the end behavior of a function f(x)?

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In item a, we have that, respectively, to the left and to the right.

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} -5x^3 = -5(-\infty)^3 = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} -5x^3 = -5(\infty)^3 = -\infty[/tex]

Hence it rises to the left and falls to the right.

In item b, we have that, respectively, to the left and to the right.

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 3x^6 = 3(-\infty)^6 = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} 3x^6 = 3(\infty)^6 = \infty[/tex]

Rises to the left and rises to the right.

In item c, we have that, respectively, to the left and to the right.

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 20x^3 = 20(-\infty)^3 = -\infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} 20x^3 = 20(\infty)^3 = \infty[/tex]

Falls to the left and rises to the right.

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HELP PLEASEEEE!!!!
If PQRS is a quadrilateral inscribed in a circle then the opposite angles of the quadrilateral are_____?

The values of x and y are _____ degrees and ______ degrees respectively.

Answers

Answer:

x: 98 y: 112

Step-by-step explanation:

Supplementary angles add up to 180 so:

x + 82 = 180

x = 98

And:

y + 68 = 180

y = 112

Answer:

supplementary, 98°, 112°

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary, i.e., they add up to 180°.

∴ x° + 82° = 180°

  x = 180° - 82°

       x = 98°

y° + 68° = 180°

y = 180° - 68°

    y = 112°

Which one is it? I need help

Answers

The statement that must be true about square WXYZ are as follows;

WX ≅ XYWX ≅ YZ∠W is a right angle.

Properties of a Square.All sides are equal to each other.Opposite sides are parallel to each other.All the angles are right angle.The diagonals bisect each other and are perpendicular.

Therefore, the statement that must be true about square WXYZ are as follows;

WX ≅ XYWX ≅ YZ∠W is a right angle.

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Determine the total number of roots of each polynomial function. f (x) = 3x^6 + 2x^5 + x^4 - 2x^3

Answers

The total number of roots of the given polynomial function is 6.

The given polynomial is [tex]f(x)=3x^{6}+2x^{5}+x^{4} -2x^{3}[/tex].

We need to determine the total number of roots of the given polynomial function.

What is the total number of roots of the polynomial function?

The number of roots of any polynomial is depended on the degree of that polynomial. Suppose n is the degree of a polynomial f(x), then fx) has n number of roots.

Here, the degree of the given polynomial function is 6.

Therefore, the given polynomial function will be having 6 roots.

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Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. After c years, Calvin has
$658.80. Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. After m
years, Makayla has $613.04. What is the in approximate difference in the number of years that Calvin and Makayla have
their money invested?
O Makayla invests her money 1 year longer.
O Makayla invests her money 2 years longer.
O Calvin invests his money 1 year longer.
O Calvin invests his money 2 years longer.

Answers

Answer:

Dot number 2. Makayla invests her money 2 years longer.

Step-by-step explanation:

Calvin 400$ with 5% interest compounded monthly will get you to 666.0294029241$ after 13 months or 1 year and 1 month

Makayla 300$ with 6% interest quarterly

1st year 378.743088$(4 quarters)

2nd year 478.1544223592$(+4 quarters)

3rd year 603.6589415506$(+4 quarters)

3rd year and 1 quarter 639.8784780436$

Answer:

So the second option is the answer: Makayla invests her money 2 years longer.

Step-by-step explanation:

Formula for compound interest: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Calvin:

[tex]A=658.80[/tex]

[tex]P=400[/tex]

[tex]r=0.05[/tex]

[tex]n=12[/tex]

[tex]t=?[/tex]

Makayla:

[tex]A=613.04[/tex]

[tex]P=300[/tex]

[tex]r=0.06[/tex]

[tex]n=4[/tex]

[tex]t=?[/tex]

Lets solve for [tex]t[/tex].

1)  Divide both sides of the equation by [tex]P[/tex].

[tex]\frac{A}{P} =(1+\frac{r}{n})^{nt}[/tex]

2)  Take the natural log of both sides.

[tex]ln(\frac{A}{P}) =ln((1+\frac{r}{n})^{nt})[/tex]

3)  Rewrite the right side of the equation using properties of exponents.

[tex]ln(\frac{A}{P}) =nt*ln(1+\frac{r}{n})[/tex]

4)  Divide each side of the equation by [tex]n*ln(1+\frac{r}{n})[/tex]

[tex]\frac{nt*ln(1+\frac{r}n)}{n*ln(1+\frac{r}n)}=\frac{ln(\frac{A}{P})}{n*ln(1+\frac{r}n)}[/tex]

5)  Cancel the common factor [tex]n[/tex] on the left side of the equation.

[tex]\frac{t*ln(1+\frac{r}n)}{ln(1+\frac{r}n)}=\frac{ln(\frac{A}{P})}{n*ln(1+\frac{r}n)}[/tex]

6)  Cancel the common factor of [tex]ln(1+\frac{r}{n})[/tex].

[tex]t=\frac{ln(\frac{A}{P)}}{n*ln(1+\frac{r}{n})}[/tex]

Now we have an equation for [tex]t[/tex] that we can use to answer your question.

For Calvin:

[tex]t=\frac{ln(\frac{658.80}{400)}}{12*ln(1+\frac{0.05}{12})}[/tex]

[tex]t=10[/tex]

For Makayla:

[tex]t=\frac{ln(\frac{613.04}{300)}}{3*ln(1+\frac{0.06}{3})}[/tex]

[tex]t=12[/tex]

So the second option is the answer: Makayla invests her money 2 years longer.

Note: This question took me 2 minutes to answer but typing it took 30. lol

Find the value of the following:
1. Decrease 1.25km by 0.6%
2. Decrease 64 g by 12 ½%
3. Decrease 124 L by 15%
4. Decrease 350m² by 42%
Step by step working please!

Answers

The required decreased value is given by 1.2425, 56g, 105.4L, 203m²

What are percentage?

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

1) Decrease 1.25km by 0.6%
    0.6% of 1.25km = 0.0075
    so total decrease = 1.25 - 0.0075
             = 1.2425
similarly,
2.) Decrease 64 g by 12 ½%
  12 ½% of 64g = 8g
   so total decrease = 64-8

                                 = 56g

3. Decrease 124 L by 15%
          15% of 124 = 18.6L
     so total decrease = 105.4L

4. Decrease 350m² by 42%
  42% of 350m² =  147m²
    so total decrease = 203m²

Thus, the required decreased value is given by 1.2425, 56g, 105.4L, 203m²

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What is the equation of the line that passes through the point (1,4) and has a slope of 4

Answers

Answer:

y = 4x

Step-by-step explanation:

Equation of line in point -y intercept form:

    [tex]\sf \boxed{\bf y-y_1=m(x- x_1)}[/tex]

[tex]\sf x_1 = 1 \ ; \ y_1=4 \ \& \ m = 4[/tex]

  y - 4 = 4(x -1)

  y - 4 = 4*x - 4*1

  y - 4 = 4x - 4

Add 4 to both sides

       y = 4x - 4 + 4

      y =4x

The total debt that frances carries is $2,355 and she has a total credit limit of $5,000; her partner jeremy has a total debt
of $3,465 and his total credit limit is $8,000.
find frances' debt-to-credit ratio. express this ratio as a decimal. round to the nearest thousandth.
then find jeremy's debt-to-credit ratio. express this ratio as a decimal. round to the nearest thousandth.
who has the higher debt-to-credit ratio? (frances or jeremy)

Answers

Jeremy's debt-to-credit ratio is 0.471.

What is debt-to-credit ratio?

debt-to-income ratio is the percentage of a consumer's monthly gross income that goes toward paying debts.

Here, Based on the given conditions,

formulate = Total debt / total credit limit

                 = 2355 / 5000

                = 471/1000

Cross out the common factor: 471/1000

Round 471/1000 to the required place:: 0.471

Thus, Jeremy's debt-to-credit ratio is 0.471.

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Another job is advertising leaflets printed on sheets of A4 paper (210 x 297 mm).The sheets are then folded into thirds as shown.What are the measurements in millimetres of each folded leaflet? What do we call the three Consecutive nucleotides that specity amino acids? A. Rosetta stone B. Codons C. Proteins D. Histones How can nationalism be considered a cause of world war i? a. nationalism promoted economic competition among nations. b. nationalism created ethnic tensions, resulting in civil war. c. many germans relocated to belgium, where they felt more culturally connected. d. nationalism had destroyed the holy roman empire, without which europe was out of control. please select the best answer from the choices provided. a b c d When you coordinate tasks by email, you show respect for the recipient's time by: Question from active-passive voices and vice versa Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)2. Jay Smith deposited $5,000 into an annuity due at the beginning of each quarter for 3 years at 6%compounded quarterly. P is a polynomial of degree 4 with three zeros: -1 and 2 are zeros of multiplicity one, and 3 is a zero with multiplicity two. If P(0) = 90, what is the lead coefficient of P ? What expression is equivalent to ten square root five 9 is subtracted from 3 times the sum of 4 and 2. To where does robert sapolsky shift his lab for a few weeks every year? This is the book that i have found in the box;______is itA.whom. B.whose. C.when. D.where After the sonar system has detected an obstacle in front of or directly behind 2023 z, what warning is given to the driver as the obstacle gets closer?. This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you! Read the paragraph. Then answer the questions thatfollow.Scientists have long been fascinated by the way massive rocks move along tidal beaches in the Arctic Sea.NASA advisor and physics scientist Ralph Lorenz had read stories about how large rocks encased in ice move along tidal beaches in the Arctic Sea. He theorized that something similar might be happening in Death Valley, causing rocks as heavy as 700 pounds to glide across the sand. To test his theory, he filled a container with water, placed a rock in the water, and froze it. He placed the ice-encased rock in a tray of water with sand at the bottom and blew on the rock. Itmoved across the sand easily and left a visible trail in thesand. He suggested that moisture the air collects underrocks and freezes at night when the temperature in DeathValley plummets. The ground under the rock becomesmuddy, so when the winds blow, the ice on the rock makes itskid across the wet ground, leaving a trail in its wake. Usinghis observations of the rocks that move along the tidalbeaches in the Arctic Sea, Lorenz was able to prove similarmovements of rocks in Death Valley through a fairly easyexperiment.Read the sentence from the paragraph.He placed the ice-encased rock in a tray of water with sandat the bottom and blew on the rock.The writer wants to revise the sentence. Which revision bestmaintains the same overall tone of the paragraph?A) He dropped the ice-encased rock into a tray of waterand sand and blew on it.B) He dumped the ice-encased rock into a tray of waterand sand, and then he created wind by blowing on it.C) He placed the ice-encased rock into a tray of waterand sand, and then he simulated wind by gentlyblowing on the rock until it moved.D) He submerged the ice-encased rock into a tray ofwater and sand, and then he created big wind bygently blowing the rock across the tray. A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estimated probability that three out of four randomly chosen teenagers do not prefer watching a movie at a theater. How could you design a simulation for this situation? What is the inverse of f(x)=9x-3 the cost of 10 water bottles is $55. find the unit cost of the water bottle a girl swims along the length of 80m in swimming pool and comes back in 1.5sec. find her distance and displacement Identify the correct combination of density dependent environmental factors that affect population.1. Births and immigration2. Death and emigration3. Immigration and emigration4. Births and deaths 6. Given that the term independent of x in the binomial expansion of (x+p/x)^6 is 240,(a) find the value of the positive constant p