What’s -24+16 divided by -4


Answers

Answer 1

Answer:

2

Step-by-step explanation:

-24 + 16 = -8

-8/-4 = 2

REMEMBER a - and a - = a +

or a negative and a negative equals a positive


Related Questions

hey! i’ll give brainliest please help

hey! ill give brainliest please help

Answers

Answer:A!

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Its A because the plants you see in deserts need water to germinate themselves. Its like cactus. They absorb water like camels store water in their humps.

questions 10 and 11 refer to the following information: consider the differential equation dy/dx=sinx/y

Answers

The given differential equation dy/dx = sin(x)/y is a first-order separable differential equation.

A separable differential equation is one that can be expressed in the form g(y)dy = f(x)dx, where g(y) and f(x) are functions of y and x, respectively. In this case, we have dy/dx = sin(x)/y, which can be rewritten as ydy = sin(x)dx.

To solve this separable differential equation, we can integrate both sides:

∫ydy = ∫sin(x)dx

Integrating the left side with respect to y gives (1/2)y^2, and integrating the right side with respect to x gives -cos(x) + C, where C is the constant of integration.

Therefore, we have (1/2)y^2 = -cos(x) + C.

The separable differential equation dy/dx = sin(x)/y can be solved by integrating both sides. The solution is given by (1/2)y^2 = -cos(x) + C, where C is the constant of integration.

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in conditional statements, the part of the statement following ‘if’ is called ___antecedent or consequent​

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The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

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In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

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Please help. I don't understand what to input into the c...

Please help. I don't understand what to input into the c...

Answers

Factorize the denominator:

\(x^2-31x+240 = (x-16)(x-15)\)

Then we find that ...

• When c = 15,

\(\displaystyle \lim_{x\to15}f(x) = \lim_{x\to15}\frac{x-15}{(x-16)(x-15)} = \lim_{x\to15}\frac1{x-16} = \frac1{15-16} = \frac1{-1} = \boxed{-1}\)

because the factors of x - 15 in the numerator and denominator cancel with each other. More precisely, we're talking about what happens to f(x) as x gets closer to 15, namely when x ≠ 15. Then we use the fact that y/y = 1 if y ≠ 0.

• When c = 16,

\(\displaystyle \lim_{x\to16}f(x) = \lim_{x\to16}\frac{x-15}{(x-16)(x-15)} = \lim_{x\to16}\frac1{x-16} = \dfrac10\)

which is undefined; so this limit does not exist.

• When c = 17,

\(\displaystyle \lim_{x\to17}f(x) = \lim_{x\to17}\frac{x-15}{(x-16)(x-15)} = \lim_{x\to17}\frac1{x-16} = \frac1{17-16}=\frac11 =\boxed{1}\)

because the function is continuous at x = 17.

A web music store offers two versions of a popular song. the size of the standard version is 2.3 mb. the size of the high quality version is 4.8 mb. yesterday there were 1460 downloads of the song for a total of download size of 5458 mb how many downloads of the high quality version where there

Answers

The number of downloads of the high quality version that was made was 600.

Calculations and Parameters

This is a great system of equations problem

If we call the number of standard version downloads (S)  

The high quality downloads (H).

For number of songs downloaded: S + H = 910For download size: 2.8(S) + 4.4(H) = 3044.

To find S, we can rearrange the first statement to H = 910 - S,

Then we would substitute (910 - S) wherever you see an H in the second equation so that you have only S's in your equation.

Thus:

2.8(S) + 4.4(910 - S) = 3044

2.8S + 4004 - 4.4S = 3044

-1.6S = -960

s = 600

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9th grade maths solution

9th grade maths solution

Answers

The value of y that satisfies the equation is 3.35 or - 5.35.

What is the value of y?

The value of y that satisfies the equation is calculated as follows;

The given equation;

√ (y + 3) + √ ( y - 2) = 5

Square both sides of the equations as follows;

[√ (y + 3) + √ ( y - 2) ]² = 5²

y + 3 + 2(y + 3)(y - 2) + y - 2 = 25

2y + 1   +   2(y² + y - 6) = 25

2y + 1 + 2y² + 2y - 12 = 25

Collect similar terms and simplify the equation;

2y²  +  4y - 36 = 0

divide through by 2;

y² + 2y - 18 = 0

Solve the quadratic equation using formula method as follows;

a = 1, b = 2, c = -18

y = 3.35 or - 5.35

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Which are the better statistics to use to compare the school class sizes?

Which are the better statistics to use to compare the school class sizes?

Answers

Answer:

C

Step-by-step explanation:

A cylindrical coordinates equation for the cone z = 2 + 3√x² + y² is: 2-r a. Z= 3 b. z = 2 + 3r c. z = 2-3r d. None of the above

Answers

The correct cylindrical coordinates equation for the cone described by z = 2 + 3√(x² + y²) is: b. z = 2 + 3r

To convert the equation z = 2 + 3√(x² + y²) into cylindrical coordinates, we replace x and y with their equivalent expressions in terms of r and θ.

In cylindrical coordinates, x = rcos(θ) and y = rsin(θ), where r represents the radial distance from the origin and θ represents the angle in the xy-plane.

Substituting these expressions into the equation, we have:

z = 2 + 3√(r²cos²(θ) + r²sin²(θ))

Simplifying the equation further:

z = 2 + 3√(r²(cos²(θ) + sin²(θ)))

Since cos²(θ) + sin²(θ) equals 1, we can simplify it to:

z = 2 + 3√(r²)

Simplifying the square root of r² gives us:

z = 2 + 3r

Therefore, the correct cylindrical coordinates equation for the cone is:

z = 2 + 3r

So, the answer is option b.

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2. If you invest $10,000 in a bank which one is a better investment? A. 9% compounded monthly B. 9.3% compounded annually​

Answers

Answer:

A . 9% compounded monthly

Step-by-step explanation:

because 9% × 31 ( 31 is number of days in month ) = 2. 79

9% compounded annually​ is the better option. Option A is correct.

What is interest?

Simple interest is defined as the percentage of earnings on the lending for a period of time.

here,
The rate of interest if compounded monthly,
The multiplication factor is given as,
= [1 + 0.09/12]¹²ⁿ
= 1.0938

Now,
For an interest rate of 9.3% compounded annually,
The multiplication factor is given as,
= [1 + 0.093]
= 1.093

Thus, 9% compounded annually​ is the better option. Option A is correct.

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help if you can asap pls!!!!!

help if you can asap pls!!!!!

Answers

The relationship between DE and AC, considering the triangle midsegment theorem, is given as follows:

DE is half of AC.DE and AC are parallel.

What is the triangle midsegment theorem?

The triangle midsegment theorem states that the midsegment of the triangle divided the length of the midsegment of the triangle is half the length of the base of the triangle, and that the midsegment and the base are parallel.

The parameters for this problem are given as follows:

Midsegment of DE.Base of AC.

Hence the correct statements are given as follows:

DE is half of AC.DE and AC are parallel.

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I’ll give brainliest
Completed a full explanation of statistics with explanation and examples ?

Answers

Answer: Hope This Helps!

Step-by-step explanation:

Statistic Definition: A mathematical science concerned with data collection, presentation, analysis, and interpretation

Examples: "Statistics is the only mathematical field required for many social sciences." and "The statistics from the Census for apportionment are available."

six boys stood equally spaced on a circle of radius $40$ feet. each boy walked to all of the other non-adjacent persons on the circle, shook their hands and then returned to his original spot on the circle before the next boy started his trip to shake hands with all of the other non-adjacent boys on the circle. after all six boys had done this, what is the least distance in feet that could have been traveled? express your answer in simplest radical form.

Answers

The least distance traveled is \($240\sqrt{3}$\) feet.

Each boy shakes hands with the two boys who are not adjacent to him on the circle. Since there are six boys in total, each boy shakes hands with four other boys. We can represent these handshakes on a graph, where the six vertices represent the six boys and the edges represent the handshakes. Each vertex has degree 4, meaning that there are 12 edges in total.

To minimize the distance traveled, each boy should simply walk directly across the circle to shake hands with the two boys on the opposite side. This way, each boy walks a distance equal to the diameter of the circle, which is \(2 \times 40 = 80$ feet.\)

Since there are six boys, the total distance traveled is \(6 \times 80 = 480$ feet\). However, we have counted each handshake twice, so we need to divide by 2 to get the total distance traveled. This gives us \(240$ feet.\)

To express this answer in the simplest radical form, we can use the fact that an equilateral triangle with side length \(s$\) has height \(s\sqrt{3}/2$\). The six handshakes form an equilateral triangle with side length 80, so its height is \(80\sqrt{3}/2 = 40\sqrt{3}$ feet\). Therefore, the total distance traveled is \(240\sqrt{3}$\) feet.

Therefore, the correct answer is \(240\sqrt{3}$\)feet.

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A line is perpendicular to y = -1/5x + 1 and intersects the point negative (-5,1) what is the equation of this perpendicular line?

Answers

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Simplify the expression.
3.4m + 9 - 2.4m =blank

Answers

Answer:

m+9

Step-by-step explanation:

help me with this ques. (need solution and answer both) thanks so much <3

help me with this ques. (need solution and answer both) thanks so much &lt;3

Answers

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

Find the mean of thefollowing probability distribution. x 0 1 2 3 4 P(x) 0.19 0.37 0.16 0.26 0.02

Answers

The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

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Converting Measurements between Systems

Answers

Answer:

kikjnknj

Step-by-step explanation:

Which makes the proportion true? AB/?= EF/GH

Which makes the proportion true? AB/?= EF/GH

Answers

YOUR ANSWER IS

OPTION C. CD

Answer:

I think CD

Step-by-step explanation:

REPOST*
I NEED HELP ON THESE THREE QUESTIONS*
The number line compares the numbers –6, 3, and 5.

1. Write an inequality that compares –6 and 3. Justify your inequality using the number line.

2. Write an inequality that compares 3 and 5.

3. Write an inequality that compares –6, 3, and 5.

Answers

#1

-6-3-5

Hence inequality will be

\(\\ \sf\longmapsto -6\leqslant 5\)

#2.

3<5

But we need inequality

\(\\ \sf\longmapsto 3\leqslant 5\)

#3

The inequality given by

\(\\ \sf\longmapsto -6\leqslant 3\leqslant 5\)

Answer:

See below

Step-by-step explanation:

Given numbers:

-6, 3 and 5

If we add these onto number line, we'll see them in same order from left to right.

We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.

1.

-6 < 3, as -6 is to left from 3

2.

3 < 5, as 3 is to left from 5

3.

-6 < 3 < 5, as per above explanation

Mark all identifiers that are included when identifying significant digits:

All nonzero digits are significant

Zeros at the end of a number to the right of a decimal point are significant

Zeros at the end of a number without a decimal point are assumed to be not significant

Zeros between two other significant digits are significant

Zeros to the left of the first nonzero digits in a decimal are not significant

All zeros are significant

Answers

The markers identified when identifying significant digits include:

All nonzero digits are significant.Zeros between two other significant digits are significantZeros to the left of the first nonzero digits in a decimal are not significant

What are significant digits?

Significant digits in mathematics refers to digits that  are meaningful in mathematical calculations. This implies that their position and the quantity alters the value of the number. The particular digit and the position determines whether the digit is significant or not.

Instances of digits with their locations that are significant are:

All nonzero digits are significant.Zeros between two other significant digits are significantZeros to the left of the first nonzero digits in a decimal are not significant.Zeros at the end of a number without a decimal point are assumed to be significant

These instances results to significant digits while the instances below the digits are insignificant:

Zeros at the end of a number to the right of a decimal point are not significant Zeros at the in the front of a non zero digit are not significant

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HELPPPP

3(1 – 2x) > 3 - 6x

Answers

Answer:

false; they are equal.

brainliest?

The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 2 inches. The height of each triangle attached to the square is 3 inches. The base of the triangle is the side of the square. What is the surface area of the solid? (5 points) 16 square inches 24 square inches 28 square inches 32 square inches

Answers

4(3)(2)/2 + 2² = 12 + 4 = 16

Which of the following is not the graph of a function of x?​

Which of the following is not the graph of a function of x?

Answers

Answer:

i think it's the third one

The graph no. 3 is not the graph of a function of x

What is a Function ?

A function is a mathematical expression where there are two variables , one is dependent variable and the other is the independent variable.

Every function has a domain and a range.

After we've substituted the domain, the range of a function is the entire set of all potential outcome values of the dependent variable (typically y)

A function is generally denoted by f(x) where x is the input.

In the given graphs it has to be determined that which graph is not a function of x .

It can be clearly seen from the image and the options that the option C has the equation

y = c.

As the graph is not dependent upon the value of x .

Therefore the graph y = c , option C is not the graph of a function of x.

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Class of 40 students, 20 took Mathematics, 18 took Statistics, 16 took English, 7 took Mathematics and Statistics, 7 took Mathematics and English, 9 took Statistics and English, 3 took all the three.How many students arn't taking any courses?​

Answers

Answer:

6

Step-by-step explanation:

Typically these kinds of problems are solved using Venn Diagram.

Let’s solve it differently.

Here, we add the individual subject students and subtract the dual subject students and then add the triple subject students that would give us the count of all the students. If that’s more than number of students then there’s something wrong with the given data. If that’s exactly equal to number of students then all the students have taken some course(s) or the other. If that’s less than number of students then subtracting this from number of students would give us the count of students having not taken any course(s).

Thus, the count of students having taken some courses or the other is:

20+18+16–7–7–9+3 = 57–23

= 34

Subtracting it from 40 gives us 6, which is the count of students not taking any course(s).

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Label the illustrations based on the Gestalt principles of grouping:
a. closure
b. proximity
c. continuity
d. illusory contours
e. similarity

Answers

The illustration based on the Gestalt principles of grouping are:

(A) Closure principle.

(B) Proximity principle.

(C) Continuity principle.

(E) Similarity principle.

What are Gestalt principles of grouping?

The principles of grouping, also known as the Gestalt rules of grouping, are a collection of psychological concepts first put out by Gestalt psychologists to explain why people naturally perceive items as structured patterns and objects, or Prägnanz.

Gestalt psychologists asserted that these principles hold true because the mind is predisposed to recognize patterns in the stimulus based on predetermined rules.

Gestalt grouping guidelines include:

Continuity principle.

Similarity principle.

Proximity principle.

Closure principle.

Common region principle.

Figure-ground principle.

Focal point principle.

Therefore, the illustration based on the Gestalt principles of grouping are:

(A) Closure principle.

(B) Proximity principle.

(C) Continuity principle.

(E) Similarity principle.

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Suppose a 95% confidence interval for the true proportion (p) of people who say they approve of Joe Biden as President is (40%, 46%). One of the below statements is correct, please choose it.
a The margin of error is plus or minus 1%.
b The margin of error is plus or minus 3%.
c There is not enough information to calculate the margin of error.
d The margin of error is plus or minus 4%.

Answers

The correct statement is: The margin of error is plus or minus 3%.

To determine the margin of error based on the given confidence interval, we can calculate half the width of the interval. The margin of error is the maximum likely difference between the true proportion and the sample estimate.

The given confidence interval is (40%, 46%), so the width of the interval is 46% - 40% = 6%.

The margin of error is half of the width of the interval, so the margin of error is 6% / 2 = 3%.

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whats the theoretical probability of popping a polka dot balloon? express your answer as a fraction, decimal and percent



solid 15

polka dot 5

striped 17
PLZZ HELP ME DUE TOMORROW

Answers

Answer:

5 / 37

Step-by-step explanation:

Solution:-

- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.

- There are three types of balloons clustered together. The distribution of each balloon is given as such:

                 Type                        Number

                 Solid                             15

                 Striped                          17

                 Polka Dot                      5

- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.

- Define event ( A ) : The number of Polka dots balloon popped

- Then, the probability of event ( A ) would be defined as:

    p ( A ) =  [ Number of polka dots balloons available ] / [ Total balloons ]

- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:

                  p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]

                  p ( A ) = [ 5 ] / [ 37 ]

- The probabbility that an arrow pops a polka dot balloon is 5 / 37.

Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.

       

I want need help because I’m having trouble on this question Evaluate: 2-4 =

I want need help because Im having trouble on this question Evaluate: 2-4 =

Answers

Answer:

the answer is 16 if that is to the fourth power

Answer:

D. 1/16

Step-by-step explanation:

\(b^-^n = 1/b^n\)

so it is

\(1/2^4 = 1/16\)

Have a nice day!

arge telescopes often have small fields of view. For example, the Hubble Space Telescope’s (HST’s) advanced camera has a field of view that is roughly square and about 0.06 degree on a side.
Calculate the angular area of the HST’s field of view in square degrees.
A. 0.006 Square degrees
B. 0.36 Square degrees
C. 0.0036 Square degrees
D. 0.06 Square degrees

Answers

The correct response is C. 0.0036 Square degrees The field of vision of the Hubble Space Telescope is only 0.006 degrees, which is around 100 times less than that of the Micro Observatory telescopes. But it has a 100 times better angular resolution!

Skywatchers can readily view planets with just a modest or medium-sized telescope. How much of our solar system is visible will wow you! Additionally, you don't need a completely dark sky to see all of the planets in our solar system; a telescope can still make Venus, Mars, Jupiter, and Saturn easily visible even when viewed in a city. From $100 to well over $10,000, a telescope can be purchased. In 2022, you can anticipate that a good telescope for visual observing will start around $300 and a telescope capable of deep-sky astrophotography would start around $800. With a 25x telescope, even the tiniest telescope should be able to see Saturn's rings.

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Large telescopes often have small fields of view. For example, the Hubble Space Telescope's (HST's) advanced camera has a field of view that is roughly square and about 0.06 degree on a side. Calculate the angular area of the HST's field of view in square degrees.

A. 0.006 Square degrees

B. 0.36 Square degrees

C. 0.0036 Square degrees

D. 0.06 Square degrees

Which of these is the algebraic expression for "six more than the product of seven and some number?"

Answers

6+(7n)
Six more than the product of 7 and a number
Other Questions
whyt are the earthquakes more numerous north of the trencth axis FIGURE 11.7 Maps of the Aleutian Trench and northern Pacific Ocean basin. A. Regional map. B. Detailed tectonic map of the central portion of the Aleutian Trench. The rectangular box bisected by line A-A' corresponds to the rectangular box in the lower middle portion of the regional map. A-A' corresponds to the cross section shown in figure I1.8. Scale bar applies to map . a Canyon What is the genetic problem that leads on to defective hemoglobin and shape of the rbcs in sickle cell anemia? Select the solvent (sol) that will favor the reaction. 2 RhBr, + MgBr, + 2 sol [Mg(sol), 12+ + 2 [RhBr.]" a. (CH3CH2)2 S b. 3 O c. C6H6 d. CH3CH2 SH How many times bigger are the side lengths of triangle B when compared with triangle A bellue incorporated manufactures a single product. variable costing net operating income was $96,300 last year and its inventory decreased by 2,600 units. fixed manufacturing overhead cost was $1 per unit for both units in beginning and in ending inventory. what was the absorption costing net operating income last year? multiple choice $2,600 $93,700 $96,300 $98,900 5x+2 Major corporations with overseas subcontractors (such as IKEA in Bangladesh, Unilever in India, and Nike in China) have been criticized, often with substantial negative publicity, when children as young as 10 have been found working in the subcontractor's facilities. The standard response is to perform an audit and then enhance controls so it does not happen again. In one such case, a 10-year-old was terminated as a result of an audit by the parent company. This action however created unforeseen problems for the family of the child as well as for the 10 year-old as well as an ethical dilemma for the company. Shortly after the dismissal or termination, the family, without the 10-year-olds contribution to the family income, lost its modest home, and the 10-year-only was left to scrounge in the local dump for scraps of metal. Was the decision to hire the 10-year-old ethical? Was the decision to terminate the 10-year-old ethical? What questions would you ask local management concerning both the hiring and firing process? What other questions might you want to ask local management? As a consultant or manager for the parent company, what would be your recommendation? Answer only what you read in the dilemma. If you do make assumptions then state the assumptions that you have made and state your decision or comments based on that (those) assumptions. Which symptoms of gonorrhea are visible in males?crawling insects in the genitalssevere rash all over the bodyblistersthick yellow discharge from genitals There are 1.6 million shares in the company on the market, costing 6.4 Euros (per share). Greeneco's debt amounts to 42.4 million euros. The cost of its debt is 5.5%. Greeneco is taxed at a rate of 36.0%.If the cost of equity is 18.3%, what is Greeneco's weighted average cost of capital? 7th grade math pls help How many keyboard fugues did bach compose? The specific gravity of mercury is 13.613.6. The specific weight of mercury is:a) 1.36kN/m3 b) 9.81kN/m3 c) 106kN/m3 d) 133kN/m3 e) 13.600kN/m3 Choose the right answer and show calculations. Evelyn is making a race car simulation program.She accidentally gave two of her variables the same name:t 0t 60What will be the value of t after this code runs? For the function defined by y = StartFraction 1 Over x squared EndFraction, y varies inversely as what quantity? a. x c. y b. 2x d. x squared Solve the equation.8-2x = -8x + 14O x=-1O x= -3/5 =3/5O x= 1 (03.01 LC) Which of the following is equal to 32? (4 points) use the method of variation of parameters to determine a particular solution y'''+3y'' -4y=e^-2xy_p(x) = ______ A population is currently 150 and growing at a rate of 3% per year. (a) Write a formula for the population P as a function of time t in years: P(t) = (b) If the population continues this trend, what will it be in ten years? (Round off to the nearest whole person.) (c) If the population continues this trend, how many full years does it take to at least double? # adam is standing next tot he palmetto building in columbia, south carolina. he is 6 feet tall and the length of his shadow is 9 feet. if the length of the shadow of the building is 322.5 feet, how tallis the building? the core principles of economics end of chapter problem jia is considering whether to go out to dinner at a restaurant with her friend. the meal is expected to cost $40, jia typically leaves a 20% tip, and an uber will cost $5 each way. jia values the restaurant meal at $25. jia enjoys her friends company and is willing to pay $30 just to spend an evening with her. if jia does not go out to the restaurant, she will eat at home, using groceries that cost her $8.