What is the point-slope form of the equation for the line with a slope of 6/19 that passes through the point (−1, 7/5)?

Answers

Answer 1

The point-slope form of the equation for the line with a slope of [tex]\frac{6}{19}[/tex] that passes through the point[tex](-1,\frac{7}{5} )[/tex] is [tex]6x-19y=-\frac{163}{5}[/tex]

As per the question statement, we are supposed to find the point-slope form of the equation for the line with a slope of [tex]\frac{6}{19}[/tex] that passes through the point[tex](-1,\frac{7}{5} )[/tex] .

Before solving the question, we need to know about the point - slope form of the line i.e., [tex]y-y_{1} =m(x-x_{1} )[/tex]

where m = slope = [tex]\frac{6}{19}[/tex]

[tex]x_{1} =-1[/tex] and [tex]y_{1} = \frac{7}{5}[/tex]

Now substituting values, we get

[tex]y-\frac{7}{5} =\frac{6}{19} (x-[-1])[/tex]

[tex]y-\frac{7}{5} = \frac{6}{19} (x+1)[/tex]

[tex]19y - \frac{133}{5} = 6x+6[/tex]

Rearranging,

[tex]6x-19y+6+\frac{133}{5} =0[/tex]

[tex]6x-19y+\frac{163}{5} =0[/tex]

[tex]6x-19y=-\frac{163}{5}[/tex]

Hence our required equation is [tex]6x-19y=-\frac{163}{5}[/tex]

Point slope form of equation: The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.

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Related Questions

A law clerk has earned no less than $25,000 since being hired. ​

Answers

Answer:

A. s ≥ 25,000

Hope this helps :)

The law clerk can earn $25,000 or more since being hired.

Bro please help ima fail

Answers

In the picture there are 10 question.

1. Identify the 1st 10 perfect squares?

The 1st 10 perfect squares are 1,4,9,16,25,36,49,64,81 and 100.

[tex]1^{2} =1\\2^{2} =4\\3^{2} =9\\4^{2} =16\\5^{2} =25\\6^{2} =36\\7^{2} =49\\8^{2} =64\\9^{2} =81\\10^{2} =100\\[/tex]

2. What does it mean for a number to a perfect square? provide an example.

By squaring a whole number or an integer, one can create perfect squares. Let's examine an illustration to get the idea behind perfect squares. We can use a set of four and a second set of six marbles for this. Let's set the marbles in order.

See the figure(1).

With four marbles, we can create a square with two rows and two marbles in each row. We can create a rectangle with 6 marbles that has 2 rows with 3 marbles in each row. It signifies that 4 = 2[tex]\times[/tex]2 and 6 = 3[tex]\times[/tex]2 mathematically. Let's concentrate just on the square-shaped numerals. Here, 4 = 2 × 2 = [tex]2^{2}[/tex].

Square A is smaller then Square B. Square B is smaller then Square C.

The 3 Square side length are3,4.2 and[tex]5\frac{1}{2}[/tex].

complete the equation each of the square shown.

3. Square A=Area=[tex]3^{2}[/tex]=9

4. Square B= Area=[tex]4.2^{2}[/tex]=17.64

5. Square C=Area= [tex]\frac{5}{2} =\frac{25}{4}[/tex]

Find the length of the side of the square for each area is given

6.81 square inches

Area=81=[tex]s^{2}[/tex]

s=9

7. [tex]\frac{4}{25} cm[/tex]

area=[tex]\frac{4}{25} cm[/tex]=[tex]s^{2}[/tex]

s=[tex]\frac{2}{5}[/tex]

8.0.49 Square unit

area=0.49=[tex]s^{2}[/tex]

s=0.7

The graph represent the equation [tex]y=x^{2}[/tex].

9.complete the table of values to find corresponding y-values.

if x =-1.4

Substituting in the equation [tex]y=x^{2}[/tex]

Then y=[tex]-1.4^{2}[/tex]

y=1.96.

Therefore, (x,y)=(-1.4,1.96)

if x =-1

Substituting in the equation [tex]y=x^{2}[/tex]

Then y=[tex]-1^{2}[/tex]

y=1.

Therefore, (x,y)=(-1,1)

if x =0

Substituting in the equation [tex]y=x^{2}[/tex]

Then y=[tex]0^{2}[/tex]

y=0.

Therefore, (x,y)=(0,0)

if x =[tex]\frac{2}{5}[/tex]

Substituting in the equation [tex]y=x^{2}[/tex]

Then y=[tex](\frac{2}{5}) ^{2}[/tex]

y=[tex]\frac{4}{25}[/tex].

Therefore, (x,y)=([tex]\frac{2}{5}[/tex],[tex]\frac{4}{25}[/tex])

if x =2

Substituting in the equation [tex]y=x^{2}[/tex]

Then y=[tex]2^{2}[/tex]

y=4.

Therefore, (x,y)=(2,4)

10. why the graph of equation  [tex]y=x^{2}[/tex] is above x-axis.

Because the [tex]y=x^{2}\\[/tex] the x values are always positive because x as a square. So, the equation is always on x- axis or above x-axis.

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The end points of AB are A (-7.7)and B (10.5). Find the coordinates of mid point M

Answers

The midpoint becomes Midpoint M is 3/2, 6.

According to the statement

We have to find that the midpoint.

So, For this purpose, we know that the

Midpoint is the the point on a line segment or an arc that is equidistant, when measured along the line or the arc, from both endpoints.

From the given information:

The end points of AB are A (-7,7)and B (10,5).

Then

Midpoint M = Midpoint of A, Midpoint of B

Then

Midpoint M = -7+10 /2, 7+5/2

Midpoint M = 3/2, 12/2

Midpoint M = 3/2, 6.

Then the midpoint of the AB becomes the 3/2, 6. which represent the 3/2 is the x coordinates and the y coordinates is a 6.

So, The midpoint becomes Midpoint M is 3/2, 6.

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Andre Marshall is paid 10$per hour for a 40 hour work week

Answers

Answer:

$400???

Step-by-step explanation:

If, thats the whole question.

Mariam took a taxi from her house to the airport. The taxi company charged a pick-
up fee of $2.90 plus $1.25 per mile. The total fare was $6.65, not including the tip.
Write and solve an equation which can be used to determine m, the number of miles
in the taxi ride.

Answers

The equation illustrates that the number of miles will be 3 miles.

How to compute the value?

The taxi company charged a pick- up fee of $2.90 plus $1.25 per mile.

Let the number of miles be m.

Therefore, this will be:

2.90 + (1.25 × m) = 6.65

2.90 + 1.25m = 6.65

Collect like terms

1.25m = 6.65 - 2.90

1.25m = 3.75

m = 3.75/1.25

m = 3

The number of miles is 3 miles.

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What is 1.3 x 10^4 in standard notation?

Answers

Answer: 13000

Step-by-step explanation:

So I believe this may be the answer though I'm not very good at this.

Answer: 13,000

Step-by-step explanation:

First look at the first number given and it's decimal place.

Once you figure the decimal place look for the number it is being multiplied by.

Next look at the number it's to the power to.

In this case the number is 4 so the decimal place of the first number will be moved over to the right 4 times.

Next look at the second number given and calculate what the number is to the power of and after multiply the first given number.

Lastly, once you have multiplied You will receive your final given answ⊕er and that will be the standard form.

please help!!!!!!! i really need the answer

Answers

Answer:

When you will take a money.

How many times per year

Can I get help on number 3 please

Answers

Equally 3{1-2} is the answer

what is the answer to
3z+2=z+15

Answers

Answer:

z=13/2

Step-by-step explanation:

Answer:

z = 6.5

Step-by-step explanation:

3z + 2 = z + 15

      -2        -2

      3z = z + 13

       -z   -z

      2z = 13

           2

         z = 6.5

(PLS HELP I NEED THIS ITS DUE IN 30 MIN) The perimeter of the quadrilateral is 120 feet and BA = x + 30, BC = 2x + 10, and CD = x + 20. Determine the length of the sum of the smallest side and the largest side.

Answers

The length of the sum of the smallest value and the largest value is 105 feet.

Given data

BA = x + 30

BC = 2x + 10

CD = x + 20

Perimeter = 120 feet

How to find the length of the sum of the smallest side and the largest side.

The perimeter refers to the sum of all the dimensions which is given as 120 feet. We sum the dimensions given to find the value of x.

This is done as follows:

Perimeter = BA + BC +CD

120 = x + 30 + 2x + 10 + x + 20

120 = x + 2x + x + 30 + 10 + 20

120 = 4x + 60

4x = 120 - 60

4x = 60

x = 60 / 4

x = 15

plugging in x = 15 into the dimensions given we have

BA = x + 30

BA = 15 + 30

BA = 45

BC = 2x + 10

BC = 2 * 15 + 10

BC = 30 + 40

BC = 70

CD = x + 20

CD = 15 + 20

CD = 35

Hence we can say that the smallest value is 35 and the largest value is 70.

sum of the values

70 + 35 = 105

The sum of the smallest value and the largest value is 105 feet.

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What is the answer for 35% of 21?

Answers

Answer:

7. 35

Step-by-step explanation:

21/x=100/35

(21/x)*x=(100/35)*x       - we multiply both sides of the equation by x

21=2.85714285714*x       - we divide both sides of the equation by (2.85714285714) to get x

21/2.85714285714=x

7.35=x answer

x=7.35

now we have:

35% of 21=7.35

What is the most specific name for the figure?
A(0,-2a)
B(-3a,-2a)
C(-3a,a)
D(0,a)

A. Parallelogram
B. Rectangle
C. Square
D. Rhombus

Answers

The most specific name for the figure in the image is a  Rectangle. Option C

This is further explained below.

What is the most specific name for the figure?

Generally, A Rectangle is regarded as a regular quadrilateral under the tenets of Euclidean geometry since it has four sides of equal length amongst opposite sides

It may also be thought of as a rectangle with two adjacent sides that are equal in length.

The word coordinate has the same pronunciation as the word o-ordinate. These expressions may denote having the same status or rank, having to do with coordination, or having to do with an intersection of indices when employed as adjectives.

In conclusion, A square is the most accurate description of the shape that can be seen in the picture. Alternative B

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One side of a cube is 3 cm long. Its mass is 110 g. What is the density of the cube?

Answers

The density of the cube is 4.1g/cm³

How to calculate the density of the cube ?

The first step is to calculate the volume

Volume= area³

= 3³

= 27

The density can be calculated as follows

= mass/volume

= 110/27

= 4.1

Hence the density of the cube is 4.1gram/cm³

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The latitude of the U.S. Embassy is 48° north of the equator. If the diameter of the earth is 7920 miles, how far is the U.S.
Embassy from the equator?

Answers

Answer:

use air math personal tutors to help you and help you show your work!

Step-by-step explanation:

Number 67.89 is rational or irrational with explanation ​

Answers

Answer:

67.89 is rational

Step-by-step explanation:

67.89 is a terminating decimal, so it is a rational number.

The approximate weights of two animals are 4.23 x 103 lbs. and 8.7 x 103 lbs. find the total weight of the two animals. write the final answer in scientific notation with the correct number of significant digits.

Answers

The total weight of two animals in scientific notation is 1.3 x 10⁴ lbs.

Scientific Notation:

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

For example,

650,000,000 can be written in scientific notation as 6.5 ✕ 10⁸.

Given,

The approximate weights of two animals are 4.23 x 10³ lbs. and 8.7 x 10³ lbs.

Here we need to find the total weight of the two animals and we need to write the final answer in scientific notation with the correct number of significant digits.

The total weight of the two animals is calculated as

Total weight = Animal 1 + Animal 2

So,

Total weight = 4.23 x 10³ lbs + 8.7 x 10³ lbs.

Take 10³ lbs as the common term,

Then we get,

Total weight = (4.23 + 8.7) x 10³ lbs.

Total weight = 12.93 x 10³ lbs.

It can we rewritten as,

Total weight = 1.293 x 10⁴ lbs.

When we round off it, then we get,

Total weight = 1.3 x 10⁴ lbs.

Hence, the total weight of the two animals is 1.3 x 10⁴ lbs.

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A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed for the recipe?

Answers

Answer:

13 65/72 is your answer.

Step-by-step explanation:

Answer:

13 65/72

Step-by-step explanation:

Find an equation of the plane through(1,1,1) that contains the linere presented by the parametric equationsx= 2t;y= 1t;z= 2 3t:

Answers

To calculate the equation of the plane from the given information which is as follows:

The plane contains the line that is [tex]x = 2t; y = 1t; z =2-3t[/tex] which are passing through [tex](1,1,1).[/tex]

The standard formula for the equation of the plane is: [tex]a(x-x(0))+b(y-y(0))+c(z-z(0))=0.[/tex]

And the equation of the line is: [tex]\frac{(x-x(0))}{a} = \frac{(y-y(0))}{b} = \frac{(z-z(0))}{c}[/tex]

As per the given data, the value of [tex]a = b = c = 1.[/tex]

And when[tex]t=0: x=0;y=0;z=2[/tex]

Now, the final expression can be rewritten as: [tex]x=y=z-2[/tex]

And the equation of the line can be rewritten as:

[tex](x)+(y)+(z-2)=0.[/tex]

[tex]x+y+z-2 = 0[/tex]

What is the equation of the line?

To represent the set of points in an algebraic form is known as the equation of line. The set of points represent lines in the coordinate system. The parameters can be calculated and those parameters are slope and y-intercept.

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whats the answer to 1.17-0.07+ (3.92a)

Answers

Answer:

3.92a + 1.1

Step-by-step explanation:

remove the parentheses

1.17 - 0.07 + 3.92a

subtract

1.17 - 0.07 = 1.1

= 3.92a + 1.1

an online shoe brand ran two conversion lift studies. test 1 resulted in the control group showing a 20% conversion rate while the test group showed a 25% conversion rate. the results were significant at 60%. test 2 resulted in a 20% conversion rate in the control group while the test group showed a 30% conversion rate. these results were 95% significant.

Answers

To boost their incremental ROAS, the marketing team plans to increase reach as much as feasible.

What is market science?

Using data to support decision-making objectively is central to marketing as a science. Knowing how to analyze data and spotting typical mistakes or misrepresentations in interpretations are key.

The analyst conclude -

Test 2's results were more trustworthy than Test 1's because Test 2 demonstrated a 10% difference in lift between the test and control groups and was conducted with a higher confidence level.When conducting randomized control trials utilizing their ads, an e-commerce company wants to know how reach affects the incremental ROAS outcomes.To compare reach and ROAS for each campaign ran in the previous year, the company compiles data on past campaign performance and builds a scatterplot. Over the past year, they have made numerous changes to their marketing strategy, including changes to targeting, bidding tactics, and optimization measures. To boost their incremental ROAS, the marketing team plans to increase reach as much as feasible.

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The square of a certain negative number is equal to five more than one-half of that number. What is the number?
-2
-5/2
-1/2

Answers

Answer:

-2

Step-by-step explanation:

How would I multiply these matrices? (I thought this would be undefined but my teacher said it wasn’t)

Answers

When we do Matrix multiplication, we keep these two conditions in mind: 1 The number of columns of the first matrix in the multiplication process must equal the number of rows of the second.

here  number of columns of 1st matrix is not equal to number of rows of 2nd matrix.

To multiply two matrices, we must first determine if the first matrix's number of columns and rows equals the second matrix's number of rows. Then sum all of the results after multiplying each element of the first matrix's column by each element of the second matrix's row.

In dealing with many ideas in linear algebra, matrices are crucial. In mathematics, a matrix is a rectangular array or table with rows and columns of integers, symbols, or expressions. Matrix operations include addition, subtraction, multiplication, and other operations.

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Solve inequality.
t+8 ≥ 19

Answers

To solve the inequality, subtract 8 from both sides. The solution is t ≥ 11 or [11, ∞)

Tips to solve linear inequalities:

Isolate the variable on one side by using subtraction or addition. Subtraction and addition will not change the inequality.Use division or multiplication to find the solution. Multiplication and division by a positive number will not the inequality. However, if we multiply or divide both sides with a negative number, we need to flip the inequality direction.

Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis (  or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.

Example:  x ≥ 2 can be written as [2, ∞), while

                x > 0 is written as (2, ∞)

The given problem:

t+8 ≥ 19

Subtract 8 from both sides. Subtracting a number from both sides will not change the inequality. Hence,

t+8 - 8 ≥ 19 - 8

t ≥ 11

Using the interval notation, the solution is [11, ∞)

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please help it’s about finding the mean

Answers

The mean of the data is 16 cm and the absolute mean deviation is 1.4 cm.

Given we have the data set values.

Total number of data set values = 10

to find the mean we need to find the sum of the data set values and then divide it by the total number of data set values.

Therefore, mean = 13₊14₊14₊16₊16₊16₊16₊18₊18₊19 / 10

mean = 160/10

mean = 16 cm

To find the absolute mean deviation we need to find the deviation from the mean, from that the absolute mean deviation.

Data value    Deviation from mean   Absolute mean deviation

13                      13 ₋ 16 = ₋3                        I ₋3 I = 3

14                      14 ₋ 16 = ₋2                        I ₋2 I = 2

14                      14 ₋ 16 = ₋2                        I ₋2 I = 2

16                      16 ₋ 16 = 0                             0

16                      16 ₋ 16 = 0                             0

16                      16 ₋ 16 = 0                             0

16                      16 ₋ 16 = 0                             0

18                      18 ₋ 16 = 2                             2

18                      18 ₋ 16 = 2                             2

19                      19 ₋ 16 = 2                             3

Now the total of the absolute mean deviation is 14

divide it by 10

= 14/10

= 1.4 cm

Hence we get the mean and the absolute mean deviation as 16 cm and 1.4 cm.

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What is the approximate value of 8–√ ?

Answers

The value of 8-√5 is approximately 5.76 which is calculated by rounding the square root of 5 to 2 decimal places.

A number y whose square (the outcome of multiplying the number by itself, or y × y), is x (y² = x) is said to be the square root of a number x.

For instance, since 4² = (4)² = 16, 4 and -4 are the square roots of 16.Every nonnegative real number x has a singular nonnegative square root, denoted by √n where the symbol √ is known as the radical sign or radix, which is known as the primary square root.For instance, we write to indicate that the primary square root of √9 is 3. The radicand is the phrase (or integer) whose square root is being analyzed. The quantity or phrase that appears beneath the radical sign is known as the radicand.

Now the given expression is of the form ( 8 - √5 )

We know that √5 = 2.2360... ≈ 2.24 (rounded to 2 decimal places.)

∴ 8 - √5

= 8 -  2.24

= 5.76

Hence the value of the expression is approximately 5.76  .

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Disclaimer: The complete question is:

What is the approximate value of 8–√5 ?

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20% de los animales en un centro de rescate de animales son gatos. ¿Qué porcentaje son perros?

Answers

Si solo son los dos tipos en el centro. 100% - 20% = 80%

Answer:

80% son perros,

Step-by-step explanation:

Se considera que el total corresponde al 100%

Por tanto:

100% - 20% = 80%

Find the product of 4.5 x 1012 and 5.12 x 109. write the final answer in scientific notation. 23.04 x 1021 23.04 x 1022 2.304 x 1021 2.304 x 1022

Answers

Answer: 4.5 x 1012 = 4554x

Step-by-step explanation:

5.12 x 109 = 558.08

what is the value of x of triangle srq?

Answers

The value of "x" in the given figure and question is 20 units.

As per the question statement, We are given a figure in which we are supposed to find the value of x.

Before solving the question, if we observe the figure, we can conclude that this question will include the concepts of right angled triangle or specifically Pythagoras Theorem, which states that

[tex]Perpendicular^{2} + base^{2} = hypotenuse^{2}[/tex] where perpendicular, base and hypotenuse are the three sides of the right angled triangle.

In Triangle RTQ

using Pythagoras Theorem

[tex]RQ^{2} = TQ^{2} +TR^{2} \\RQ=x\\x^{2} = 16^{2} + TR^{2} \\TR^{2} = x^{2} -16^{2}[/tex]

Now considering triangle SRT

using Pythagoras Theorem

[tex]SR^{2} = RT^{2} + ST^{2} \\SR^{2} = (x^{2} -16^{2}) +9^{2}\\[/tex]

Now considering triangle RSQ

using Pythagoras Theorem

[tex]SQ^{2} = SR^{2} +RQ^{2} \\(9+16)^{2} = SR^{2} + RQ^{2} \\(9+16)^{2} = x^{2} -7^{2}+x^{2} \\ (9+16)^{2} =2x^{2} -7^{2} \\25^{2}+7^{2} = 2x^{2}[/tex]

[tex]2x^{2} =674[/tex]

[tex]x^{2} =337\\x=\sqrt{337} \\x=18.357[/tex]

Therefore x = 18.357 approx 20 units.

Pythagoras Theorem: The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.

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Five ounces of pretzels are put into each bag. How many bags can be made from 20 pounds of pretzels?

Answers

Each pound has 16 ounces in it.

20 pounds would be 16 x 20 ounces = 320 ounces.

If each bag has 5 ounces in it, that's 320 / 5 bags = 64 bags.

Pls give brainliest.

If it takes 3 seconds to fill up a 16 ounce
jar, how many seconds will it take to fill up a
100 ounce bucket?

Answers

Answer:

18,000

Step-by-step explanation:

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to provide legal advice to the public is to engage in 9g-6>12g+1 or 4>-2\5g+8 how did andrew carnegie live according to the gospel of wealth? a. he kept the government out of the free market and kept laissez-faire alive. b. he m Enlightenment thinker adam smith wrote about laissez-faire economics and market systems, which was influential in how people economically viewed the role of the government. According to smith, what role should the government have?. PLEASE DONT STEAL MY POINTS AND BEST ANSWER GETS BRAINLEST. A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work. Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points)Part B: Find the falcon's rate in meters per hour. (3 points)Part C: Find the falcon's rate in kilometers per hour. (3 points)Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why? (2 points) When earth catches up to a slower-moving outer planet and passes it in its orbit, the outer planet? In a complete sentence, explain what determines temperature Which mathematical term cannot be precisely defined? line segment point circle ray find the comference of the circle What is the solution of the following system of equations? y-2x=-6 and y-4x=0 The cells that rhythmically and spontaneously generate action potentials in the heart are called ___ The fusiform face area (ffa) in the brain is often damaged in patients with? a. broca's aphasia. b. prosopagnosia. c. alzheimer's disease. d. wernicke's aphasia. Regular distribution is observed for many organisms due to _______. a. the need to maximize exposure to sunlight b. the need to avoid predators c. interactions between individuals d. the plentiful availability of water please select the best answer from the choices provided a b c d If a country's government imposes a tariff on imported goods, that country's current account balance will likely ____ (assuming no retaliation by other governments). What yeah did the American revolution began the includes members of hope springs' upper management team, brian (the purchasing manager), and members of the accounts payable department. Solve the equation. 2(5 7) = 1 Jamie, a buyer's agent, is pretty sure that the listing agent will receive multiple offers on a home. should jamie include an escalation clause in his offer? Describe how to graph the solution of Please help me with my chemistry homework