What happens as x approaches zero from the positive direction?

What happens as x approaches zero from the negative direction?

What is the domain of the function?

all real numbers x

all positive real numbers x

all negative real numbers x

all real numbers x, except x = 0

Answers

Answer 1

The domain of the function is all real numbers , except x = 0

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the domain of the function be represented as D

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

When the value of the x of function approaches zero from the positive direction , the function f ( x ) gets larger

And , when the value of the x of function approaches zero from the negative direction , the function f ( x ) gets larger in the negative direction

Now , the domain of the function will be all the real numbers except 0

Hence , the domain of the function is all real numbers except 0

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Related Questions

Can y’all help me out please,

Answers

Answer:

I don't know the answer.

Step-by-step explanation:

Sorry. ;(

(-2-7)/(2-5) = 3

So subtract the y’s and the x’s and then divide y over x

i need help with this assignment

Answers

The mean of the scores is given as follows:

88.3.

How to obtain the mean of a data-set?

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

Considering the absolute frequencies in the table, the sum of all the observations is given as follows:

1 x 75 + 9 x 80 + 3 x 85 + 2 x 90 + 2 x 95 + 7 x 100 = 2120.

The number of students is given as follows:

1 + 9 + 3 + 2 + 2 + 7 = 24.

Hence the mean is obtained as follows:

2120/24 = 88.3.

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What is 22+44+556 and then mutiply the answer by 88

Answers

Answer:

54,736

Step-by-step explanation:

22+44+556=622 × 88

Answer:

7.068....................

Joe went to a taco stand with some friends. Joe bought 9 tacos and 4 burritos, and spent 64% of the money on burritos. How many tacos could Joe but for the price of one burrito?

Answers

Answer:

Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)

Step-by-step explanation:

Joe can have four tacos for the cost of one burrito.

The cost of 4 burritos is 64%, which means the cost of 1 burrito is 16%.

The cost of 9 tacos is 36%, which means the cost of 1 taco is 4%.

1 taco Is 4%, 1 burrito = 16%

4 times 4 equals 16

Joe can get four tacos for the price of one burrito.

(Hope this helps!)

(Consider marking as the brainliest, so I can get to the next rank please :)

find the values ox x and y that make the quadrilateral a parallelogram, please show how you did it

Answers


Let the coordinates of the four vertices of the quadrilateral be (x1, y1), (x2, y2), (x3, y3), and (x4, y4).

A parallelogram is a quadrilateral with two pairs of parallel sides. This means that the slopes of the two pairs of opposite sides must be equal.

The slope of a line is given by the formula m = (y2 - y1)/(x2 - x1).

Therefore, for the quadrilateral to be a parallelogram, we must have:

m1 = (y2 - y1)/(x2 - x1) = (y4 - y3)/(x4 - x3)

m2 = (y3 - y2)/(x3 - x2) = (y1 - y4)/(x1 - x4)

Solving the two equations for x and y, we get:

x = (y2 - y1)(x4 - x3) - (y4 - y3)(x2 - x1) / (y4 - y3)(x2 - x1) - (y1 - y4)(x3 - x2)

y = (x2 - x1)(y4 - y3) - (x4 - x3)(y2 - y1) / (y4 - y3)(x2 - x1) - (y1 - y4)(x3 - x2)

Therefore, the values of x and y that make the quadrilateral a parallelogram can be found by substituting the coordinates of the four vertices into the above equations.

Recent Review
1. Write an equation in standard form of a line that has a slope of 4 and passes through the point (-4,-4).

Answers

An equation in standard form of a line that has a slope of 4 and passes through the point (-4, -4) is y = 4x + 12.

How to determine an equation of this line?

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

m represents the slope.x and y are the points.

At data point (-4, -4), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-4) = 4(x - (-4))

y + 4 = 4(x + 4)

y + 4 = 4x + 16

y = 4x + 16 - 4

y = 4x + 12

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Factor the following.

(a−b)·z+3(b−a)²

Answers

Answer: az-bz+3b²-6ab+3a²

Step-by-step explanation: math whay

In a group of 40 pupils, 15 play the flute only. 7 play the piano only. 5 play both instruments. A student is chosen at random. What is the probability the student plays neither instrument?

Answers

Answer:

13/40

Step-by-step explanation:

Total No of pupils = 40

No of pupils who play the flute = 15

No of pupils who play the Piano = 7

No of pupils who play both = 5

Total No of pupils who can play the atleast one instrument = 15+5+7= 27

No one pupils who play neither instrument = 40 - 27 = 13

Probability of a pupil being chosen at random who plays neither instrument = No of Pupils who play neither instrument/ Total No of pupils = 13/40

Therefore the answer will be 13/40

How do you write 940% as a fraction or mixed number

Answers

Answer:

Fraction: 47/15

Mixed number: 3 2/15

Step-by-step explanation:

Hope it helps! =D

What is a percentage?

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

If we know that percentages are parts of 100, we can simply set the denominator as 100, and keep the numerator the same.

940% = [tex]\frac{940}{100}[/tex]

Converting this into a mixed number will look like this:

[tex]\frac{940}{100} = 9 \frac{40}{100}[/tex] or [tex]9 \frac{4}{10}[/tex]

Therefore, the percentage 940% written as a mixed number is [tex]9\frac{4}{10}[/tex].

suppose that shoe sizes of american women have a bell-shaped distribution with a mean of 8.04 and a standard deviation of 1.52 . using the empirical rule, what percentage of american women have shoe sizes that are between 3.48 and 12.6 ?

Answers

The percentage of American women with shoe sizes between 3.48 and 12.6 is somewhere between 68% and 95%.

Empirical Rule Shoe Sizes

The empirical rule states that for a normal distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

In this case, we want to find the percentage of American women with shoe sizes between 3.48 and 12.6. To use the empirical rule, we need to convert these values to standard deviations away from the mean. We can do this by subtracting the mean and dividing by the standard deviation:

3.48 - 8.04 = -4.56

-4.56 / 1.52 = -3.00

12.6 - 8.04 = 4.56

4.56 / 1.52 = 2.99

So we want to find the percentage of American women with shoe sizes that are between -3 standard deviations and +2.99 standard deviations from the mean.

According to the empirical rule, about 68% of the data falls within one standard deviation of the mean, so we can estimate that about 68% of the data falls within -1 and +1 standard deviations from the mean. The percentage between -2 and +2 standard deviations from the mean would be about 95%, and between -3 and +3 standard deviations from the mean would be about 99.7%.

Since our range of shoe sizes is partially contained within each of these ranges, we can estimate that the percentage of American women with shoe sizes between 3.48 and 12.6 is somewhere between 68% and 95%.

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Find the value of x
(17x + 14)°
(4x - 2)°

Answers

Answer:

x= 8

Step-by-step explanation:

17x+14+4x-2= 180

21x= 168

x= 8

URGENT!!! WILL MARK BRAINLIEST!!!

Answers

The area of the shaded region will be 3 square units.

What is geometry?

One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that the total area of triangle XYZ is 8 square units. A and B are the midpoints of the sides XY and XZ.

Consider the half triangle XYC. The area will be half of the total triangle.

Area of  XYC = 4

( 1 / 2) x b x h = 4

b x h = 8

From the similarity property:-

h' / h = b' / b = 1 / 2

h' = h / 2 and b' = b / 2

Area of the triangle AXO:-

Area = 1 / 2 x h' x b '

Area = 1 / 2 x h / 2 x b / 2

Area = ( b x h ) / 8

Area = 8 / 8 = 1 square units

Area of shaded region =  Area of  XYC - Area of the triangle AXO

Area of shaded region =  4 - 1

Area of shaded region = 3 square units

Therefore, the area of the shaded region will be 3 square units.

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1
The base of a parallelogram has a length of x meters, and the height of the parallelogram is x - 1
meters. The parallelogram has an area of 306 square meters. What is the value of x?
9
17
18
34

Answers

Answer:

The area of a parallelogram is given by the formula A = base x height. In this case, the base has a length of x meters, and the height is x - 1 meters. So we can write:

A = x(x - 1)

We are told that the area is 306 square meters, so we can set up an equation:

x(x - 1) = 306

Expanding the left side gives:

x^2 - x = 306

Bringing all the terms to one side gives a quadratic equation:

x^2 - x - 306 = 0

We can solve for x using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

Here, a = 1, b = -1, and c = -306, so:

x = (1 ± sqrt(1 - 4(1)(-306))) / 2(1)

x = (1 ± sqrt(1 + 1224)) / 2

x = (1 ± sqrt(1225)) / 2

x = (1 ± 35) / 2

So x is either (1 + 35) / 2 = 18 or (1 - 35) / 2 = -17/2. Since x represents a length, it cannot be negative, so the value of x is 18 meters.

Therefore, the answer is x = 18.

After collecting more data, Mai reports that the proportion of students who think it's a good idea to change school hours is 90% with a margin of error of 3%. What does this mean?

Answers

Answer:

See below

Step-by-step explanation:

What is margin of error?

Since it is impossible to predict results of a statistical survey on a sample population  with 100% accuracy, scientists often include an error in estimation along with the calculated proportion

This margin of error tells you how many percentage points your results will differ from the real population value

Here the estimated proportion is 90%Margin of error is 3%So actual population proportion will be 90% ± 3%90 - 3 = 87, 90 + 3 = 93So actual proportion will lie between 87% and 90% ANSWER

At still Bay Middle School, 3 out of 5 teachers have earned their masters degrees. If there are 30 teachers at the school, how many of them have earned their masters degrees?

Answers

Based on the given ratio, the number of teachers at Still Bay Middle School, who have earned their master's degrees, is 18.

What is the ratio?

The ratio is the relative size of a value compared to another.

Ratios are depicted as percentages, fractions, or decimals, to show that they are fractional values, representing a portion of a whole.

The ratio of teachers who have earned their master's = 3/5

The total number of teachers at the school = 30

The number of teachers with masters = 18 (30 x 3/5)

The number of teachers without masters = 2/5 (1 - 3/5)

= 12 (30 x 2/5)

Thus, since 3 out of 5 teachers at Still Bay Middle School have earned their master's degrees, the number is 18 if there are 30 teachers at the school.

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Distribute 56 rupees among Jim and Tim in the ratio of 2:5 find how much each one get

Answers

Answer:

Jim gets 16 Tim get 40

Step-by-step explanation:

A coordinate grid with one line labeled 3 y equals 2 x minus 9. The line passes through points at (0, negative 3) and (3, negative 1).
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?

Answers

The system of equations will be:-

6y=4x-18

9y=6x-27

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For a system to have an infinite number of solutions, the slopes and y-intercepts of the slope must be the same.

We have that one of the equations of the system is 3y = 2x – 9.

We generate another equation that has the same slope and y-intercept by just multiplying through by a non-zero constant.

Let us multiply by 2.

2(3y = 2x – 9)---->6y=4x-18

Or multiply through by 4 to get:

3(3y = 2x – 9)----->9y=6x-27

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Yosemite Falls, the highest waterfall in the United States, is actually made up of three smaller falls. The Lower Yosemite Falls is 355 feet shorter than the Middle Cascades Falls. The Upper Yosemite Falls is 80 feet more than twice the Middle Cascades Falls. If the entire set of waterfalls is 2425 feet long, how tall is Lower Yosemite Falls?

Answers

As per unitary method Lower Yosemite Falls is 292.5 feet tall.

The unitary method is a mathematical problem-solving technique that involves using known information to find unknown information.

Let x be the height of the Middle Cascades Falls. The height of the Lower Yosemite Falls is 355 feet shorter than x, so the equation is:

Lower Yosemite Falls = x - 355

The height of the Upper Yosemite Falls is 80 feet more than twice the height of the Middle Cascades Falls, so the equation is:

Upper Yosemite Falls = 2x + 80

The total height of all three falls is 2425 feet, so we can add the heights of each fall to find the equation:

Lower Yosemite Falls + Middle Cascades Falls + Upper Yosemite Falls = 2425

Substituting in our previous equations:

x - 355 + x + 2x + 80 = 2425

Simplifying:

4x = 2425 + 355 - 80

4x = 2590

Dividing both sides by 4:

x = 647.5

So, the height of the Middle Cascades Falls is 647.5 feet. To find the height of the Lower Yosemite Falls, we substitute x back into the first equation:

Lower Yosemite Falls = x - 355

Lower Yosemite Falls = 647.5 - 355

Lower Yosemite Falls = 292.5 feet

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Pleaseee HELP ASAP PLEASE

Answers

The triangles are not similar.

How to find similar triangle?

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles congruent to each other.

Therefore, for the triangles above to be similar the angles will be congruent and the sides will be a ratio of each other.

Therefore, the similarities statement for the two triangle can be represented as follows:

The triangles are not similar because the sides are not a ratio of each other.

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Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad

Answers

If each container held 8 ounces of salad, then Larry purchased a total of number of 96 ounces of pasta salad.

1. First, determine the number of containers of pasta salad purchased. In this case, it is 12 number of containers.

2. Next, determine the amount of salad contained in each container. In this case, each container holds 8 ounces of salad.

3. Finally, multiply the number of containers purchased (12) by the amount of salad contained in each container (8 ounces). This gives us a total of 96 ounces of pasta salad purchased.

the complete question is :

Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad. If the total weight of the 12 containers was 6 pounds, how many ounces of pasta salad did each container hold?

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the length of a rectangle is 2x and the width is 3x. If the perimeter is 60, what is x?

Answers

2x + 2x + 3x + 3x = 60
4x + 6x = 60
10x = 60
X=6

Length is 12
Width is 18

Use the two-way frequency table to complete the relative frequency table. Drag the numbers into the boxes.

Lunch Order

Sandwich Pasta

Total

19

15

34

Sport

Volleyball

Swimming

Total

26

10

36

45

25

70

14

21

27

36

37

49

51

64

100

Lunch Order

Sandwich

Pasta

Total

Volleyball

%

%

%

Sport Swimming

%

%

%

Total

%

%

%

Answers

By applying the relative frequency concept, we make this table to represent the relative frequency of the problem:

                                Lunch order

                  Sandwich      Pasta      Total

Volleyball        27%            21%        49%

Swimming       37%            14%         51%

Total                64%            36%       100%

Relative frequency is a percentage number that states the amount of data in a certain group.

Relative frequency is given by the number of desired outcomes, also called frequency, divided by the number of total outcomes.

We already have the following information:

                                        Lunch order

                        Sandwich       Pasta         Total

Volleyball              19                15               34

Swimming             26               10               36

Total                      45               25              70

Now we want to find the relative frequency and put it into the following table:

                                                            Lunch order

                            Sandwich                      Pasta                        Total

Volleyball     19/70*100% = 27%     15/70*100% = 21%    34/70*100% = 49%

Swimming    26/70*100% = 37%    10/70*100% = 14%    36/70*100% = 51%

Total             45/70*100% = 64%    25/70*100% = 36%  70/70*100% = 100%

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which of the following would useful to represent as a frequency table? multiple select question. age of students in a business statistics course. majors of students in a business statistics course. gender of students in a business statistics course. state of residence of students in a business statistics course.

Answers

A frequency table would be useful for representing the age of students, majors, gender, and state of residence in a business statistics course.

A frequency table is a tabular representation of data that shows how often each value of a variable occurs. For example, a frequency table for the age of students in a business statistics course would list the different age groups and the number of students in each group. Similarly, a frequency table for the majors of students would list the different majors and the number of students in each major. A frequency table for gender and state of residence would also list the different categories (e.g. male/female or different states) and the number of students in each category.

In general, a frequency table is useful for representing categorical data, such as gender, majors, or state of residence, as well as numerical data, such as age, when the data is discrete or has a limited number of possible values.

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What is; 24x - 5 - 3

Answers

Answer:

Step-by-step explanation:

24x - 5 - 3 can be simplified by combining the constants (-5 and -3) into a single constant (-8):

24x - 5 - 3 = 24x - 8

Therefore, the simplified expression is 24x - 8.

Answer: 24x - 2

Step-by-step explanation:

You can't subtract the Coefficient and the Natural Number, so you can only do 24x - (5 - 3)

Which will end up as 24x - 2.

A factory produces 900 items per week at a unit cost of $75 new equipment is installed that increases the productivity by 12% and reduces the unit cost by 16%

Answers

a) The new production rate is 1008 items per week.

b) The new unit cost is $63.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

a) The new production rate can be calculated by increasing the old production rate of 900 items per week by 12%.

New production rate = 900 items/week + 12% of 900 items/week

New production rate = 900 items/week + (12/100) x 900 items/week

New production rate = 900 items/week + 108 items/week

New production rate = 1008 items/week

So, the new production rate is 1008 items per week.

b) The new unit cost can be calculated by reducing the old unit cost of $75 by 16%.

New unit cost = $75 - 16% of $75

New unit cost = $75 - (16/100) x $75

New unit cost = $75 - $12

New unit cost = $63

So, the new unit cost is $63.

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The question seems incomplete, the missing part has been below:

A factory produces 900 items per week at a unit cost of $75 new equipment is installed that increases productivity by 12% and reduces the unit cost by 16%.

a) What is the new production rate?

b) What is the new unit cost?

the volume of a cone varies jointly with the base (area) and the height. the volume is 12.5 ft 3 when the base (area) is 15 ft 2 and the height is 2 1 2 ft . find the volume of the cone (after finding the variation constant) when the base (area) is 12 ft 2 and the height is 6 ft . 112.5 ft 3 18.75 ft 3 72 ft 3 24 ft 3

Answers

The volume of the cone is 60 ft³ when the base area is 12 ft² and the height is 6 ft.

Let the constant of variation be k. We know that the volume of a cone is given by the formula:

V = (1/3)πr²h

where r is the radius of the base and h is the height. Since the base area is given by πr², we can write:

V = (1/3)Bh

where B is the base area. From the given information, we know that:

12.5 = (1/3) * 15 * (2(1)/(2))

Solving for k, we get:

k = 12.5 / (15 * (2(1)/(2))) = (12.5 * 2) / 15 = 5/3

Now that we have found the variation constant, we can use it to find the volume when the base area is 12ft² and the height is 6ft:

V = (5/3) * 12 * 6 = 60 ft³

So the volume of the cone is 60 ft³ when the base area is 12 ft² and the height is 6 ft.

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what is the lowest common multiple of 60 and 72​

Answers

Answer:

brainliest plss

Step-by-step explanation:

The Least Common Multiple (LCM) of 60 and 72 is 360

Answer is 360

Step by step

To find the LCM of 60 and 72, we need to find the multiples of 60 and 72
multiples of 60 = 60, 120, 180, 240, 300, 360; multiples of 72 = 72, 144, 216, 288, 360) and there you find your common number of 360z Its the smallest multiple that is exactly divisible by 60 and 72, = 360.

simplify the following:

-3/4/-6 (the / are for fractions)

Answers

Answer:

 [tex]\frac{-1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{-3/4}{6}=\frac{-0.75}{6}[/tex]

[tex]\frac{6}{-0.75}=-8[/tex]

[tex]\frac{-0.75}{6}=\frac{-1}{8}[/tex]

- Two ways you can find the product of (3x) and (5x)

Answers

Answer:

3x×5x=15x² so what's the second way

Find the largest domain of f(x)=x²+1

Answers

The largest domain of f(x)=x²+1 is ∝

How to determine the largest domain

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

f(x)=x²+1

The above expression is a quadratic function

The domain of a quadratic function is the set of all real values

This means that the input value can be as large as possible

So, the largest domain is ∝ (infinity)

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Triangle XYZ is drawn with vertices X(4, 5), Y(6, 1), Z(10, 8). Determine the line of reflection if Z(10, 8). y = 1 x = 8 y-axis x-axis Review your writing and complete the writing reflection rubric. For each criterion, copy and paste the description thatbest fits what you've written. is it possible to get any transcription of the lac operon in the absence of lactose? why or why not? Find the circumference of a closed semicircle with diameter 20 cm. engineers take into account building code requirements, local weather, and seismic data as a way to combat building collapse due to: (360) what equation would make this true, x=11Include in your answer: Your equationThe steps to solve your equation Passage 1: Your next tablet should be the upcoming G2 tablet, which is hitting stores this Thursday. Tired of the slow, glitchy performance of your old, tired tablet? Sick of having to install update after update, patch after patch, only to deal with the same subpar performance? Frustrated with the lack of exciting, useful apps for your tablet? Treat yourself to the new G2 tablet, on sale Thursday at all A-Mart locations near you! Passage 2: The new G2 tablet is seven inches tall, five inches wide, and a half-inch thick. It uses the Roboto operating system, which will allow many popular apps and programs to run on the machine. Most people bring their G2 tablets on the train or bus and take advantage of the included Wi-Fi card. This convenient, portable, and useful device will help users run their lives while running their errands. The G2 tablet is available for purchase at A-Mart starting this Thursday. T/F: according to jewish tradition, the old testament writings were completed by 400 bc and there is evidence to support that the old testament canon was completed as early as 300 b Water flows at 2 feet per second through a pipe with a diameter of 8 inches. A cylindrical tank with a diameter of 15 feet and a height of 6 feet collects the water.a. What is the exact volume, in cubic inches, of water flowing out of the pipe every second? Leave your answer in terms of . What are some light/ dark motifs in Beowulf what is the ph of a solution obtained by dissolving two extra-strength aspirin tablets, containing 450 mg of acetylsalicylic acid each, in 270 ml of water? Simplify. (5 10^6) (1 10^3) Give the answer in scientific notation. Both circles have the same center. The circumference of the inner circle is 31.4 miles. What is the area of the shaded region? A pharmacist will counsel a 39-year old patient beginning a combination oral contraceptive for pregnancy prevention. The patient smokes. Which of the following are correct counseling statements? A .The FDA requires that the patient package insert only be dispensed the first time the patient receives the medication; with refills it is not required. B The Xulane patch would be a safer alternative in this patient.C Estrogen products should be avoided in this patient because of her age and her smoking status. D There are no drug interactions to be concerned about when taking combined oral contraceptives. E In addition to preventing pregnancy, this medication will protect the patient from sexually transmitted diseases. How might a drought create an environment that allowed the other three theories to develop?HELP ME PLEASE THIS IS DUE TODAY!!? Ethan is 1.85 meters tall. At 10 a.m., he measures the length of a tree's shadow to be 28.45 meters. He stands 24.3 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter. Evelyn works in a greenhouse and planted 22 flowers in pots. 8 of the flowers were daisies.If she wants the ratio of daisies to flowers to stay the same how many daisies would she need to plant if she fills 66 pots? Carbon-141414 is an element which loses \dfrac{1}{10} 101 start fraction, 1, divided by, 10, end fraction of its mass every 871871871 years. The mass of a sample of carbon-141414 can be modeled by a function, MMM, which depends on its age, ttt (in years).We measure that the initial mass of a sample of carbon-141414 is 960960960 grams.Write a function that models the mass of the carbon-141414 sample remaining ttt years since the initial measurement. how are decomposers different from scavengers and detritivores A trading advantage allows countries to:O buy goods at any price.O obtain goods they don't have in exchange for goods they do produce.O buy goods for a lower priceextend their borders.