Is it possible to form a triangle with side lengths 3.5, 3.5, and 9? If so, will it be scalene, isosceles, or equilateral? A. Yes; scalene O B. Yes; isosceles O C. Yes; equilateral O D. No

Answers

Answer 1

No , it is not possible to form a triangle with side lengths 3.5, 3.5, and 9 , because of the rule that sum of any two sides must be greater than other side. So, Option D is correct.

A triangle is a two-dimensional shape formed by three line segments connecting three points. In order to form a triangle, a necessary and sufficient condition is that the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If the sum of the lengths of any two sides is less than or equal to the length of the third side, then the three line segments will not be able to form a closed shape, and therefore cannot form a triangle.

In the case of the triangle with side lengths 3.5, 3.5, and 9, the sum of the lengths of the first two sides is 7, which is less than the length of the third side, 9. Hence, these three side lengths do not satisfy the triangle inequality theorem, and therefore cannot form a triangle.

In general, to determine the type of triangle that can be formed with three given side lengths, it is necessary to compare the lengths of the sides and check if any two sides are equal in length (isosceles), or if all three sides are equal in length (equilateral). If none of the sides are equal, then the triangle is called scalene.

In this case, since it is not possible to form a triangle with the given side lengths, it is not possible to determine the type of triangle that would be formed.

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Related Questions

z=-4+5i what is |z|=√

Answers

Answer:

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Class 11

>>Applied Mathematics

>>Number theory

>>Complex Numbers

>>The complex number z satisfying the equa

Question

The complex number z satisfying the equations ∣z∣−4=∣z−i∣−∣z+5i∣=0, is

This question has multiple correct options

A

3−i

B

23−2i

C

−23−2i

D

0

Medium

Open in App

Updated on : 2022-09-05

Solution

Verified by Toppr

Correct options are B) and C)

We have two equation ∣z∣−4=0 and ∣z−i∣−∣z+5i∣=0

Putting z=x+iy i.e x2+y2=16    ....(1)

and ∣x+iy−i∣=∣x+iy+5i∣

⇒x2+(y−1)2=x2+(y+5)2

⇒y=−2   ...(2)

Putting y=−2 in (1), 

x2+4=16⇒x=±2

Step-by-step explanation:

Hence the complex numbers z satisfying the given equation are 

z1=23−2i and z2=−23−2i

What is the value of (2^(2014)+2^(2012))/(2^(2014)-2^(2012))? (A) -1 (B) 1 (C) (5)/(3) (D) 2013 (E) 2^(4024)

Answers

The value of the exponential equation is A = 5/3

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = [ 2²⁰¹⁴ + 2²⁰¹² ] / [ 2²⁰¹⁴ - 2²⁰¹² ]   be equation (1)

On simplifying the equation , we get

Taking the common factor as 2²⁰¹² , we get

A = 2²⁰¹² [ 2² + 1 ] / 2²⁰¹² [ 2² - 1 ]

On further simplification , we get

A = ( 2² + 1 ) / ( 2² - 1 )

A = ( 4 + 1 ) / ( 4 - 1 )

A = 5/3

Therefore , the value of A is 5/3

Hence , the equation is A = 5/3

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if Joaquin bought a lawn mower for $519.20 on a 20% off sale what was the original price of the mower

Answers

Answer: The original price of the lawn mower was $649

Step-by-step explanation:

If Joaquin bought the lawn mower for $519.20 after a 20% discount, it means that he paid only 80% of the original price. We can use this information to calculate the original price of the mower by setting up the following equation:

0.8x = 519.20

where x is the original price of the lawn mower. To solve for x, we can divide both sides of the equation by 0.8:

x = 519.20 / 0.8

x = $649

4.) You roll a number cube twice. Find the probability that the first roll shows a five, and then
che second roll shows a six.

Answers

The probability of rolling a 5 and then 6 is 1/36

How to determine the probability

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

Number cube rolled twice

The sample space of each number cube is

Sample space = {1. 2. 3. 4. 5. 6}

From the above entries, we have

P(5) =1/6

P(6) = 1/6

Using the above as a guide, we have the following:

P = 1/6 * 1/6

Evaluate

P = 1/36

Hence, the probability is 1/36

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3
The volume of a sphere is given by V = Tr³, where r is the radius.
Find the inverse function. Describe what it represents.

Answers

The inverse function is  v⁻¹ = ( v/T)^1/3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that the formula of the volume of the sphere is,

⇒ v = 4/3 πr³

T = 4/3π

Now,

To determine the inverse function we can solve the formula for the term r as;

⇒ v = 4/3 πr³

Multiply by 3/4 we get;

⇒ 3v/4 = πr³

Divide by π both side, we get;

⇒ 3v/4π = r³

Substitute r = v⁻¹ in above equation, we get;

⇒  v⁻¹ = ( v/T)^1/3

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A triangle has integer side lengths 2, 5 and x. What is the median of all possible
values of x?

Answers

The median of all possible values of x is 5.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

To find the median of all possible values of x, we need to find all the possible values of x first.

By the triangle inequality, we know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, we can write:

2 + 5 > x

2 + x > 5

5 + x > 2

Simplifying each inequality, we get:

7 > x

x > 3

x > -3

The smallest possible integer value for x is 4 and the largest possible integer value for x is 6.

Therefore, the possible integer values for x are 4, 5, and 6.

Since we have an odd number of values, the median is simply the middle value, which is 5.

Therefore, the median of all possible values of x is 5.

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Which one of the following best defines the notion of the P-value of a hypothesis test? a. The probability of rejecting H_o, whether it's true or not b. The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true c. The probability of the type I error d. The probability of the type II error

Answers

P-value of a hypothesis test is an important measure of the strength of evidence against the null hypothesis and helps us make informed decisions about rejecting or failing to reject the null hypothesis.

A hypothesis test is a statistical method used to test the validity of an assumption or a hypothesis about a population based on a sample data.

The correct answer is b. The P-value of a hypothesis test is the probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true.

In hypothesis testing, we start with a null hypothesis, which is usually denoted as H_0, that represents the status quo or the default assumption. The alternative hypothesis, denoted as H_a, represents the opposite of the null hypothesis.

The P-value is the probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true. A low P-value indicates that the sample data provides strong evidence against the null hypothesis, and we reject the null hypothesis.

A high P-value indicates that the sample data does not provide strong evidence against the null hypothesis, and we fail to reject the null hypothesis.

In mathematical terms, the P-value is calculated as the probability of observing a test statistic Z that is more extreme than the one actually obtained, assuming the null hypothesis is true.

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……………Help with 22-27…………

Answers

The equations of the lines in slope-intercept form are:

22. y = -1/2x + 3.

23. y = 2x - 3.

24. y = -x

25. y = -2x + 4.

26. y = 3/2x - 2.

27. y = 5/2x - 1/2

28. y = x + 3

29. y = -x + 2

30. y = -1/4x + 9/4

How to Find the Equation of a Line in Slope-intercept Form?

The equation of a line is y = mx + b, in slope-intercept form, where:

m = slope = rise/run = change in y / change in x

b = y-intercept or the point where the graph intercepts the y-axis.

22. Slope (m) = rise/run = -1/2

y-intercept (b) = 3

Substitute m = -1/2 and b = 3 into the equation, y = mx + b:

y = -1/2x + 3.

23. Slope (m) = rise/run = 4/2 = 2

y-intercept (b) = -3

Substitute m = 2 and b = -3 into the equation, y = mx + b:

y = 2x - 3.

24. Slope (m) = rise/run = -2/2 = -1

y-intercept (b) = 0

Substitute m = -1 and b = 0 into the equation, y = mx + b:

y = -x + 0

y = -x

25. Slope (m) = rise/run = -2/1 = -2

y-intercept (b) = 4

Substitute m = -2 and b = 4 into the equation, y = mx + b:

y = -2x + 4.

26. Slope (m) = rise/run = 3/2

y-intercept (b) = -2

Substitute m = 3/2 and b = -2 into the equation, y = mx + b:

y = 3/2x - 2.

27. Slope (m) = rise/run = 5/2

y-intercept (b) = -0.5 = -1/2

Substitute m = 5/2 and b = -1/2 into the equation, y = mx + b:

y = 5/2x - 1/2

28. Slope (m) = change in y / change in x = (5 - 3) / (2 - 0) = 2/2 = 1

y-intercept (b) = 3

Equation is, y = x + 3

29. Slope (m) = change in y / change in x = (-1 - 4) / (3 -(-2)) = -5/5 = -1

Substitute (x, y) = (3, -1) and m = -1 into y = mx + b, to find b:

-1 = -1(3) + b

-1 = -3 + b

-1 + 3 = b

2 = b

b = 2

The equation would be: y = -x + 2

30. Slope (m) = change in y / change in x = (3 - 2) / (-3 - 1) = 1/-4 = -1/4

Substitute (x, y) = (1, 2) and m = -1/4 into y = mx + b, to find b:

2 = -1/4(1) + b

2 = -1/4 + b

b = 2 + 1/4

b = 9/4

The equation would be: y = -1/4x + 9/4

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please help!! Describe an octant's main features​

Answers

An octant's main features are :

Axes Positive and negative regions Quadrants

What are the main features of an octant ?

An octant is formed by three perpendicular axes, labeled X, Y, and Z. These axes intersect at a common point called the origin. Each octant contains both positive and negative values along the X, Y, and Z axes. The positive region is located on one side of each axis, while the negative region is on the other side.

Each of the three axes divides an octant into two quadrants. These quadrants are numbered from 1 to 8, with quadrant 1 being in the positive X, Y, and Z regions and quadrant 8 being in the negative X, Y, and Z regions.

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Question 9
Triangle ABC has vertices of
A (2,4)
B (3,7)
C (7,4)
What will be the vertices of Triangle A'B'C' after a dilation of k = 2, centered at point A?
A'
B’
C’
I NEED HELP

Answers

The coordinates of the triangle after the dilation of k = 2 is given by

A' ( 4 , 8 ) , B' ( 6 , 14 ) and C' ( 14 , 8 )

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the triangle be represented as ABC

Now , let the dilated triangle be represented as A'B'C'

And , the coordinates of the triangle ABC are

The coordinate of A = A ( 2 , 4 )

The coordinate of B = B ( 3 , 7 )

The coordinate of C = C ( 7 , 4 )

And , the dilation factor k = 2

So , the new coordinates of the dilated triangle are

The coordinate of A' = A' ( 4 , 8 )

The coordinate of B' = B' ( 6 , 14 )

The coordinate of C' = C' ( 14 , 8 )

Hence , the triangle is dilated by a scale factor of 2

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What is the prime factorization of 51?

Answers

The prime factorization of 51 is 3 * 17.

​E = (children who go to the park),
T = {children who play tennis) ,
G = {children who play golf}
120 children go to the park. 50 play tennis. 75 play golf. 25 do not play tennis or golf.
(a) Show this information in the Venn diagram.
(b) How many children play both golf and tennis?​​

Answers

Answer:

125 children play tennis and golf

don't forget to follow me ,

Answer == 125

75 play Golf
50 play Tennis

75 + 50 = 125

For what value of x is the given parallelogram a rhombus?

Answers

The value of x the given parallelogram a rhombus is 18

How to determine the value of x

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

The quadrilateral that is a rhombus

The diagonals of rhombus bisect each other

Using the above as a guide, we have the following:

Angle 1 = A

Substitute the known values in the above equation, so, we have the following representation

5x - 30 = 3x + 6

Evaluate

2x = 36

Divide

x = 18

Hence, the value is 18

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Divide 3x³ - 2x² + 4x - 3 by x² + 3x + 3.

Answers

The quotient of the division is 3x - 11 with a remainder of 37x + 21

How to determine the quotient

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

Divide 3x³ - 2x² + 4x - 3 by x² + 3x + 3.

Using the long division method of quotient, we have

x² + 3x + 3 | 3x³ - 2x² + 4x - 3

The division steps are as follows

                    3x - 11

x² + 3x + 3 | 3x³ - 2x² + 4x - 3

                    3x³ + 9x² + 9

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

                               -11x² + 4x - 12

                               -11x² - 33x - 33

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

                                           37x + 21

Hence, the quotient is 3x - 11

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Mayerlin has xx dimes and yy nickels. She has no more than 20 coins worth no less than $1.30 combined. Solve this system of inequalities graphically and determine one possible solution.
what are the inequalities?

Answers

Answer: look at the image for the answers and solutions

Step-by-step explanation:

okay thanks for the info thanks buddy thanks for letting me know i thanks for your reply

20. A popular pizza parlor charges $12 for a large cheese pizza plus $1.50 for each additional topping. The
total cost, C, of a pizza with T toppings can be represented by C = 1.50T + 12. What is the domain in
the context of the problem situation?

Answers

Answer:

efgdfhncdrt gguhd r g sixtieth sex

The function C approximates the number of calories recommended per day for
a dog, based on the weight, in pounds, of the dog.
The table gives values of C for selected values of p, where C(p) represents the
recommended number of calories per day for a dog that weighs p pounds.
Recommended Number of Calories for Dogs
p (pounds) C(p)
A2.F.BF.A.la
a.
C(x) = 18p +22
b. C(x) = 22p+ 18
?
11
22
33
Which of the equations shown most closely approximates C?
44
55
66
77
88
250
450
750
1000
1250
1500
1700
1880
C.
C(x) = 40(1.06)
d. C(x) = 48(1.07)"

Answers

The equation most closely approximates C is C(x) = 22p+ 18.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that function, C calculates the number of calories recommended per day for a dog based on the dog's weight in pounds.

The equation can be written as:-

C(x) = 22p+ 18.

Here the dependent variable is C(x) and the dependent variable is p. So the value of C(x) will always depend upon the variable p.

Therefore, the correct equation will be C(x) = 22p+ 18.

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Using the Rule of 70, what approximate interest rate would be needed for an investment
of $14,000 to double by the end of 32 years?

A22.49
B 45.7%
C 2.19%

Answers

Using the Rule of 70, the approximate interest rate that would be needed for an investment of $14,000 to double by the end of 32 years can be calculated as follows:

The formula for the Rule of 70 is:

Number of years to double = 70 / interest rate (as a decimal)

Solving for the interest rate:

interest rate (as a decimal) = 70 / number of years to double

So, if you want to double your investment in 32 years, you can plug in the number of years:

interest rate (as a decimal) = 70 / 32

interest rate (as a decimal) = 2.188

Converting this decimal to a percentage, the interest rate would be approximately 2.19% (rounded to two decimal places). So, the answer is C: 2.19%.

A car salesman earns 5% on the sale of a BMW sold for $103,100. What is his take home pay that day?

Answers

Answer:

$5155

Step-by-step explanation:

We know

A car salesman earns 5% on the sale of a BMW sold for $103,100.

5% = 0.05

What is his take-home pay that day?

We take

103,100 times 0.05 = $5155

SO he takes home $5155.

Step-by-step explanation:

Looks like we're trying to find out what 5% of 103,100 is. We first need to convert the percent into a decimal and then multiply.

[tex]5\% = 0.05[/tex]

Now we can multiply

[tex](0.05)(103100) = 5155[/tex]

Which rational function has the most solutions in common with the function y=2x+6

Answers

Answer: Rational functions are defined as the ratio of two polynomials. A rational function has the most solutions in common with the function y = 2x + 6 if their graphs intersect at the most points.

If a rational function has the same degree as the polynomial function y = 2x + 6, which is degree 1, and has a leading coefficient that is the same sign as the leading coefficient of y = 2x + 6, then their graphs will intersect at the most points.

One such rational function that has the same degree as y = 2x + 6 and has a leading coefficient that is the same sign is:

y = (2x + 6) / 1

So the rational function y = (2x + 6) / 1 has the most solutions in common with the function y = 2x + 6.

Step-by-step explanation:

A tiling pattern is defined by the pattern rule equation n = 5+ 3p, where p is the
position number and n is the number of tiles. How many tiles would there be in
position 26?

Answers

Step-by-step explanation:

n=5+3p

when p=26,

n=5+3×26=83

An item has a listed price of 30$. If the sales tax rate is 8%, how much is the sales tax (in dollars)?

Answers

Answer:

32.4

Step-by-step explanation:

8% of 30 is 2.4. So, 2.4 + 30 is 32.4.

How do you find Van t Hoff?

Answers

The formula for Van 't Hoff's law, which is also known as the law of osmotic pressure, is: П = iMRT, where: Π is the osmotic pressure of the solution,

i is the van 't Hoff factor, which is a measure of the number of particles a solute molecule dissociates into in solution, M is the molar concentration of the solute, R is the gas constant, and T is the absolute temperature. Van 't Hoff is a term used to refer to a Dutch chemist named Jacobus Henricus van 't Hoff, who was known for his work on solutions, chemical equilibrium, and the laws of thermodynamics. To find Van 't Hoff, you can do any of the following: Research: You can learn about Van 't Hoff by doing research on his life and work. There are many online and offline resources available that provide information about his contributions to chemistry and his scientific achievements. Education: If you are a student of chemistry, you are likely to encounter Van 't Hoff's name in your coursework. You can learn about his theories and concepts in your chemistry classes or by consulting your textbooks. Application: You can apply Van 't Hoff's laws and principles in solving problems related to chemical equilibrium, colligative properties of solutions, and other thermodynamic concepts. This may involve using mathematical formulas and equations that are based on his work. In summary, Van 't Hoff refers to a Dutch chemist known for his work in thermodynamics, solutions, and chemical equilibrium. You can learn about his contributions to chemistry through research, education, and application of his principles in problem-solving.

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Graph the line that has a slope of 1/4 and includes the point (0,4).
.

Answers

Answer: y = mx+b

              y = -1x+1/4

Step-by-step explanation:

Leo replaces the strings on some guitars. He puts 6 new strings on Each guitar. He uses 18 strings. How many guitars does leo put Strings on?

Answers

Using division, we know that Leo replaces 6 new strings from 3 guitars which are a total of 18 strings.

What is division?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.

The other operations are multiplication, addition, and subtraction.

On a fundamental level, counting the instances in which one number is included within another is one interpretation of the division of two natural numbers.

When no more full chunks of the size of the second number can be allocated during the computation of the quotient, the division with a remainder or Euclidean division of two natural numbers yields an integer quotient, which is the number of times the second number is entirely contained in the first number, and a remainder, which is the portion of the first number that remains.

So, we know that:

6 new strings are put on each guitar.

He uses 18 strings.

Then, the number of guitars:

⇒ 18/6 = 3

Therefore, using division, we know that Leo replaces 6 new strings from 3 guitars which are a total of 18 strings.

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Part C: Charlie designs a square garden. Each side length is 3x + 5.
The perimeter of Charlie's garden is how much larger than the perimeter of Shawn's
garden?i

Answers

The requried difference between the perimeters of the two gardens would be, 12x + 20 - 4s.

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

Here,
Let's assume that Shawn's garden is also a square with side lengths. Therefore, the perimeter of Shawn's garden would be 4s.
The perimeter of Charlie's garden would be 4(3x + 5), which simplifies to 12x + 20.

The difference between the perimeters of the two gardens would be,

12x + 20 - 4s

We can't simplify this expression any further without knowing the value of s.

Therefore, we can conclude that the difference between the perimeters of the two gardens depends on the side length of Shawn's garden.

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(Likelihood MC)
A collector has items including baseball cards, gold coins, and stamps in a box. If P(gold coin) 50%, interpret the likelihood of randomly selecting a gold coin from the box.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event

Answers

Answer: The likelihood of randomly selecting a gold coin from the box is "Likely."

When the probability of an event is 50%, it means that there is an equal chance of the event happening or not happening. In this case, the probability of randomly selecting a gold coin from the box is 50%, so it is likely to occur.

Step-by-step explanation:

Leo's rent is due a few days before he expects to receive his paycheck from work. He takes out a payday loan for $200 to cover some of his rent and will pay it back when he gets his paycheck. The lender charges $15 for every $100 borrowed, which needs to be paid back in 2 weeks.

Answers

Leo needs to pay back a total of $215 in two weeks.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Leo takes out a payday loan for $200 to cover some of his rent and will pay it back when he gets his paycheck and the lender charges $15 for every $100.

Now, (15/100)×100% = 15%.

Therefore, He has to pay back,

[(100 + 15)/100]×200.

= (115/100)×200.

= 1.15×200.

= $230.

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Which inequality represents all the solutions of 4(3x + 2) < 5(3x − 2)? Select the correct answer.

Answers

Answer:

x > 6

Step-by-step explanation:

4(3x+2) < 5(3x-2)

12x+8 < 15x-10

12x-15x < -10-8

-3x < -18

3x > 18

x> 6

3. In one pond in the forest, scientists found that a sample of pond water contained 45 minnows for every 27 tadpoles. How many tadpoles would they expect to find in a sample that contained 315 minnows? Show all work and explain how you got your answer​

Answers

Answer: 189

Step-by-step explanation:

for every 45 minnow there will be 27

315 minnow is 7 times 45 minnow 27*7 is 189

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Select the correct answer. according to the theory of plate tectonics, what drives the motion of the continents? a. earth's strong magnetic field b. moving magma in the mantle c. strong winds along the equator d. volcanic islands in the ocean e. changing ocean currents Write an expression to represent the sum of three times the square of a number and -7. In your expression, what is the value of the constant? A) 1. B) 3. C) 2. D) -7. A paper manufacturer creates industrial waste that is treated before being released into a local waterway. A The EPA strictly monitors the level of this harmful waste. To maintain low levels of parts-per-million (PPM) of harmful waste requires expense on the part of the firm, and as a result they try to stay just under the allowable level. There is currently a 15% chance at each quarterly inspection that the firm will receive a $350,000 fine. (a) How much should the firm be willing to pay on an annual basis to lease a new process that will decrease the risk of non-compliance to 6% per inspection? (b) If the EPA fine represents the external cost, what is the average cost to society for each scenario? what position did babe ruth play Based on this simulation, what is true of strong acids? Select all that apply.Strong acids have lower pH values than weak acids.When strong acids dissociate, the concentration of the strong acid in the solution becomes negligible.Strong acids completely dissociate into HO (hydronium) and A (conjugate base) leaving almost no strong acid in the solution.Strong acids dissociate to form more hydronium ions than a weak acid.The products formed when a strong acid dissociates can carry out a reverse reaction to form the strong acid once more. The cytoskeleton is important in all the cellular processes listed below, EXCEPT a. strengthen the cell mechanically b. locomotion of the cell c. generate free space with the cytoplasm d. separating the internal compartments into two daughter cells during cell division e. drive organelles in a constant stream around the cell interior along cytoskeletal tracts Help me please!!! ASAP HELP I BEG PLEASSEE!!! SHOW WORK PLEASE tysm youll save my life what are the white bark trees at riviera country club what is the blephar in medical term? what is code pna icd 10? What are study skills How much more (or less) output will the average American have next year if the $22 trillion U.S. economy (GDP) grows (or contracts) byInstructions: Round your responses to the nearest dollar. If the economy is contracting be sure to include a negative sign () in front of your answer.assuming a population of 340 million.4 percent?$ per person0.5 percent?$ per person2.5 percent?$ per person an olympic-class sprinter starts a race with an acceleration of 3.88 m/s2 what is their speed 3.23 s later? What are the 10 essential public health services? Analyse one way in which a large national retail supermarket might benefit from setting ethical objectives. outfit outfit id name clothingpiece piece id name outfitpiece outfit piece id outfit id piece id which of the following is a situation where an outer join could be useful? How do you manage workplace dynamics? What if you were born into a religious religion thats supposed to be a relationship instead of a religious religion? Plucking Thoughts"" Which sentence best states two themes of the passage? The chromatids become condensed.The mitotic spindle begins to form.The nucleolus becomes less visible.The nuclear membrane begins to dissociate into small vesiclesSelect all of the following events that occur during prophase.Multiple select question.The two centrosomes are replicated.The chromatids become condensed.The mitotic spindle begins to form.The nucleolus becomes less visible.The nuclear membrane begins to dissociate into small vesicles