f(s) = 3s + 2
p(s) = s^3+ 4s
Find (f • p)(-5)

Answers

Answer 1

The value of (f • p)(-5) is 1885 when functions are given as f(s) = 3s + 2 and p(s) = s³+ 4s.

What is function?

In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. It is often represented by an equation or formula, and can be visualized as a graph. Functions are widely used in various areas of mathematics, science, engineering, and other fields to model real-world phenomena and solve problems.

Here,

f(s) = 3s + 2

p(s) = s³+ 4s

To find (f • p)(-5), we need to first find f(-5) and p(-5), and then multiply them together. To find f(-5), we substitute -5 into the function f(s) and simplify:

f(-5) = 3(-5) + 2

= -13

To find p(-5), we substitute -5 into the function p(s) and simplify:

p(-5) = (-5)³ + 4(-5)

= -125 - 20

= -145

Now we can multiply f(-5) and p(-5) together to find (f • p)(-5):

(f • p)(-5) = f(-5) * p(-5)

= (-13) * (-145)

= 1885

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Related Questions

-3+b> 7 OR b +9 <17.

Answers

The solution to the compound inequality -3+b> 7 OR b +9 <17 is given as follows:

b < 8 or b > 10.

How to solve the compound inequality?

The inequality for this problem is defined as follows:

-3+b> 7 OR b +9 <17.

The or operation means that the we must solve each operation separately, and then the solution set to the compound inequality is given by the union of the solution set of each of the inequalities.

The solution set for the first inequality is given as follows:

-3+b> 7

b > 10.

The solution set for the second inequality is given as follows:

b + 9 < 17

b < 8.

Hence the solution for the entire inequality is of:

b < 8 or b > 10.

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Select the correct answer from each drop-down menu.

Quadrilateral PQRS is
B to quadrilateral JKLM because quadrilateral PQRS is the image of quadrilateral JKLM after translating quadrilateral JKLM
6 units down and 6 units to the right, followed by dilation centered at the origin by a scale factor of
Bare congruent and the corresponding
In the two figures, the corresponding
e are proportional but not equal.
R

Answers

The two transformations applied to quadrilateral JKLM are rigid transformations, quadrilateral PQRS is congruent to quadrilateral JKLM, and the corresponding sides are proportional but not equal.

What is dilation?

The dilation is a transformation in which all points are moved by the same scale factor, but the scale factor is different for each point. In this case, the dilation was centered at the origin and had a scale factor of . This means that all points were moved by the same scale factor of .

Quadrilateral PQRS is the image of quadrilateral JKLM after translating it 6 units down and 6 units to the right, followed by a dilation centered at the origin with a scale factor of . This means that quadrilateral PQRS is congruent to quadrilateral JKLM, and the corresponding sides are proportional but not equal.

In this case, the translation of quadrilateral JKLM was 6 units down and 6 units to the right.

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Parallelogram ABCD is a rhombus with measure EBC = 36. What is the measure of DAE?

picture below

Answers

Answer:

54°

Step-by-step explanation:

AB = BC = CD = AD (Because all sides of a rhombus are equal)

Let's consider the triangle DBC:

BC = DC => ∠DBC = 36°

The angle DCB is equal to:

180° - 36*2 = 180° - 72° = 108°

In a parallelogram, opposite angles are equal.

Then the angle DAB = DCB = 108°

Also, we know that the diagonals of a rhombus are the bisectors of the angles from which they come.

So, the angle DAE = EAB = 108° / 2 = 54°

state the third congruence statement that is needed to prove that FGH is congruent to LMN using the ASA congruence therom

Answers

Answer:

a

Step-by-step explanation:

Can you guys help me?​

Answers

Answer:

[tex]{ \sf{a = \frac{0.012}{0.633 -0.063 } }} \\ \\ { \sf{a = \frac{0.012}{0.57} }} \\ \\ { \sf{a = 0.021 \: (2 \: s.f)}}[/tex]

please help!! Given m∥n - find the value of x and y.

(x+19)°
(9x+1)°
(3y+8)°

Answers

Answer: x=16, y=9

Step-by-step explanation:  Find x first. The unmarked angle underneath the x + 19 is 9x + 1 (corresponding angles so congruent so same measure as the angle below)

So the two angles add up to 180°

x+19 + 9x + 1 = 180°

combine like terms

10x + 20 = 180

subtract 20

10x = 160

divide by 10

x = 16

Now you can find the measure of the angle marked 9x+1.

9(16) + 1

= 144 + 1

= 145

Now find y. The angle marked 9x+1 is now known to be a 145° angle. So that angle with the angle marked 3y+8 must make 180°

3y + 8 + 145 = 180

combine like terms

3y + 153 = 180

subtract 153

3y = 27

divide by 3

y = 9

-Hope this helps! Thanks, have a good day :-)

Which of the following conditions are sufficient to show that triangle ABC sim triangle QPR

Select all that apply.

A. m angle Q = 63

B. m angle R = 81

D. m angle P = 81

C. RP = 4.5

Answers

Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

How do you compute the sum of squared errors

Answers

Answer:

Relating SSE to Other Statistical Data

Variance = SSE/n, if you are calculating the variance of a full population.Variance = SSE/(n-1), if you are calculating the variance of a sample set of data.



Without an appointment, the average waiting time in minutes at the doctor's office has the probability density function f(t)=1/38, where 0≤t≤38
Step 1 of 2:
What is the probability that you will wait at least 26 minutes? Enter your answer as an exact expression or rounded to 3 decimal places.
Step 2 of 2:
What is the average waiting time?

Answers

The probability of waiting at least 26 minutes is 0.316. The average waiting time is 19 minutes.

Step 1:

The probability of waiting at least 26 minutes can be calculated by finding the area under the probability density function from 26 to 38:

P(waiting at least 26 minutes) = ∫26^38 (1/38) dt = [t/38] from 26 to 38

= (38/38) - (26/38) = 12/38 = 0.316

So the probability of waiting at least 26 minutes is 0.316 or approximately 0.316 rounded to 3 decimal places.

Step 2:

The average waiting time can be calculated by finding the expected value of the probability density function:

E(waiting time) = ∫0³⁸ t f(t) dt = ∫0³⁸ (t/38) dt

= [(t²)/(238)] from 0 to 38

= (38²)/(238) = 19

Therefore, the average waiting time is 19 minutes.

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In each case either show that the statement is true, or give an example showing it is false. a. If a linear system has n variables and m equations, then the augmented matrix has n rows.

Answers

The given statements are true or false are shown below, about linear system has n variables and m equations, then the augmented matrix has n rows.

First, let's write how A and C look like.

A = [C|b], where b is the constant matrix.

(a) False.

Example

[tex]\left[\begin{array}{ccc}1&0&2\\0&1&3\\\end{array}\right][/tex]

We can see that z = t and so we have infinitely many solutions but there's no row of zeros.

(b) False.

Example

[tex]\left[\begin{array}{cc}1&0&0\1&1&0&0\\\end{array}\right][/tex]

Here; x1 = 1 and x2 = 1 is a unique solution and we have a row of zeros.

(c) True.

In the row-echelon form, the last row is either a row of zeros or a row that contains a leading 1. If the row has a leading 1, then there is a solution. Since we assume there is no solution, then the row must be a row of zeros.

(d) False.

Example

[tex]\left[\begin{array}{cc}1&3\\0&0\end{array}\right][/tex]

Here; x₁ = 1 − 3t and x2 = t. Thus, the system is consistent.

(e) True.

Suppose we have a typical equation in a system

а1x1 + A2X2 + ··· + anxn = b

Now, if b≠0 and x1 = x2 = ··· = x₂ = 0, then the system is Xn inconsistent. But, if b = 0, then we have a solution.

(f) False.

Example

[tex]\left[\begin{array}{cc}1&2&0&0\end{array}\right][/tex]

If a = 0, then it's consistent(infinitely many solutions) but if a 0, then it's inconsistent.

(g) Ture.

Since the rank would be at most 3 and this will lead to a free variable (4 columns in C and the rank is 3, so there is at leat 1 free variable). Thus, the system has more thatn one solution.

(h) True.

Because the rank is the number of leading 1's lying in different rows and A has 3 rows. Thus, the rank ≤ 3.

(i) False.

Because we could have a row of zeros in C and a leading 1 in A. In other words, a31 = a32 = A33 = A34 = 0 and c3 1. This makes the system inconsistent.

(j) True.

If the rank of C = 3, then there will be a free variable and this means the system is consistent.

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Complete question:

In each case either show that the statement is true, or give an example showing it is false. (a) If a linear system has n variables and m equations, then the augmented matrix has n rows. quations • ( *b) A consistent linear system must have infinitely many solutions. . (c) If a row operation is done to a consistent linear system, the resulting system must be consistent. (d) If a series of row operations on a linear system results in an inconsistent system, the original system is inconsistent.

a) find the probability the chosen person is a woman

b) find the probability the chosen person favors pink or purple

c) if the chosen person favors turquoise, what is the probability this person is a man?

Answers

The probability that the person chosen is a woman is 0.51.

The probability that the person chosen favors pink or purple is 0.67.

The probability that a person that favors turquoise is a man is 0.66.

What are the probabilities?

Probability is the odds that a random event would occur. The odds that the event occurs has a probability value that lies between 0 and 1. The more likely it is that the event would happen, the closer the probability value would be to 1.

The probability that the person chosen is a woman = number of women / total number of people = 152 / 300 =  0.51.

The probability that the person chosen favors pink or purple = (number of people who favor pink / total number of people) + (total number of people that favor purple / total number of people) = (50 /300) + (50 / 300) =  0.67.

The probability that a person that favors turquoise is a man = men who favor turquoise / total number of people who favor turquoise = 79/120 = 0.66

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5. Based on the data in the table below, what is the probability that a driver aged 45 - 54 was involved in an accident? Express your answer as a percentage, rounded to 2 decimal places.

Answers

As a result, the probability of a 45-54-year-old motorist becoming involved in an accident is 5.38%, rounded to two decimal places.

What exactly is probability?

Probabilistic theory is a branch of mathematics that calculates the likelihood of an event or proposition occurring or being true. A risk is a number between 0 and 1, with 1 indicating certainty and a probability of around 0 indicating how probable an event appears to be to occur. Probability is a mathematical term for the likelihood or likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1 or as percentages ranging from 0% to 100%. In relation to all other outcomes, the ratio of occurrences among equally likely alternatives that result in a certain event.

To determine the likelihood that a driver aged 45-54 was involved in an accident, divide the number of drivers in that age group who were engaged in an accident by the total number of drivers in that age group:

Probability = Number of 45-54-year-old drivers involved in an accident / Total number of 45-54-year-old drivers

We can observe that 7 drivers aged 45 to 54 were engaged in an accident, with a total of 130 drivers in that age group:

The probability is 7/130 = 0.0538.

To convert this to a percentage, multiply by 100:

Probability = 0.0538 * 100 = 5.38 percent

As a result, the likelihood of a 45-54-year-old motorist becoming involved in an accident is 5.38%, rounded to two decimal places.

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Name the transformation that maps the rectangle onto itself.


A) Rotation 90º clockwise about the origin.

B) Reflection over the x-axis.

C) Rotation 90º counterclockwise about the origin.

D) None of these choices are correct.

E) Translation up 4 and right 8.

Answers

Answer:

B

Step-by-step explanation:

It's like a piece of paper, fold it in half

The answer should be B

Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch. I need help D:
Please !!!!​

Answers

The length of the top of the bookcase should be approximately 25 inches to display the soap carving collection with an area of 300 in².

What is the length of the top of the bookcase?

To find the length of the top of the bookcase (which we'll call "b"), we need to know the area of the collection of soap carvings and the formula for the area of a rectangle:

Area = length x width

We're given the area of the soap carving collection (300 square inches), and we know that the soap carvings will be displayed on top of the bookcase, which is a rectangle.

Let's assume that the width of the bookcase is 1 unit (we can choose any unit we want, as long as we're consistent). Then we can write:

300 = b x 1

Simplifying this equation, we get:

b = 300/1

b = 300

So the length of the top of the bookcase should be 300 inches. However, this assumes that the width of the bookcase is only 1 inch, which is quite narrow.

If we assume a more reasonable width of, say, 12 inches, then we can write:

300 = b x 12

Simplifying this equation, we get:

b = 300/12

b = 25

So the length of the top of the bookcase should be 25 inches (if the width of the bookcase is 12 inches).

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Diane deposits $70,000 into an account that pays 3% interest per year, compounded annually. Henry deposits $70,000 into an account that also pays 3% per year. But it is simple interest. Find the interest Diane and Henry earn during each of the first three years. Then decide who earns more interest for each year. Assume there are no withdrawals and no additional deposits.

Answers

Answer:

Step-by-step explanation:

For Diane's account:

Year 1: Interest = $70,000 x 0.03 = $2,100

Year 2: Interest = ($70,000 + $2,100) x 0.03 = $2,163

Year 3: Interest = ($70,000 + $2,100 + $2,163) x 0.03 = $2,227.89

For Henry's account:

Year 1: Interest = $70,000 x 0.03 = $2,100

Year 2: Interest = $70,000 x 0.03 = $2,100

Year 3: Interest = $70,000 x 0.03 = $2,100

For the first year, both Diane and Henry earn the same interest of $2,100. However, for the second and third years, Diane earns more interest than Henry. Therefore, Diane earns more interest for each year after the first year

Both descriptive statistics (mean, median, mode, and range) and probability (the likelihood that something will happen) can be useful in our academic, professional, and personal lives. • Determine which of the two (descriptive statistics or probability) you find to be the most useful in your life and explain why using two (2) specific examples.

Answers

Descriptive statistics are the most useful in life. Descriptive statistics provide information about a data set and can help to summarize and interpret data. Specifically, I find the mean and median to be the most useful.

What does Descriptive statistics mean?

Descriptive statistics involves the use of measures such as the mean, median, mode, and range, as well as graphical representations of the data, such as histograms, box plots, and scatter plots.

The mean is the average of a set of data and is useful for summarizing and interpreting data. For example, when I am studying for a test, I often use the mean of my practice test scores to understand my overall performance.

The median is the middle value of a set of data and is useful for understanding the spread of the data. For example, when I am tracking my monthly expenses, I often use the median to understand how much I am spending each month. By taking the median of my monthly expenses, I can get an idea of which expenses are taking up the most of my budget.

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Can someone please help me

Answers

The volume of the composite figure is 837.33 cubic units.

What is volume of a cone?

The area or capacity of a cone is determined by its volume. A cone's circular base tapers from a flat base to a point known as the apex or vertex in three dimensions. A cone is made up of a collection of line segments, half-lines, or lines that link the apex—the common point—to each point on the base, which is on a plane without the apex. A cone may be thought of as a collection of irregularly shaped circular discs placed on top of one another with the ratio of their radii remaining constant.

The volume of any composite figure is the addition of the volume of all the shapes present in the figure.

Here, the composite solid is made of 2 cones and a cylinder.

The volume of cone is:

V = 1/3(πr²h)

For cone with height 12 and r= 4:

V = 1/3(π)(4)²(12)

V = 200.96 cubic units.

For cone with h = 8 and r = 4:

V = 1/3(π)(4)²(8)

V = 133.97

The volume of cylinder is:

V = πr²h

V = (3.14)(4)²(10)

V = 502.4 cubic units.

The volume of the composite solid is:

Total volume = 200.96 + 133.97 + 502.4

Total volume = 837.33 cubic units.

Hence, the volume of the composite figure is 837.33 cubic units.

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show that if 16 people are seated in a row of 20 chairs, then some group of 4 consecutive chairs must be occupied.

Answers

The process to show that if 16 people are seated in a row of 20 chairs, then some group of 4 consecutive chairs must be occupied is shown below.

We prove this using the Pigeonhole Principle, which states that if n items are placed into m containers, and n > m, then at least one container must contain more than one item.

Let us consider the 16 people seated in a row of 20 chairs. Each person occupies one chair, so there are 20 - 16 = 4 empty chairs in the row.

We assume that empty chairs as containers, and people as items that need to be placed into containers.

Since there are more items (people) than containers (empty chairs), there must be at least one group of 2 or more consecutive empty chairs.

Now, let's consider the complement of this statement: Suppose there are no groups of 4 consecutive chairs that are occupied. Then, each group of 4 consecutive chairs contains at most 3 people.

We partition the row of chairs into groups of 4 consecutive chairs.

So, there are 20 - 3 = 17 such groups. By the statement above, each of these groups contains at most 3 people. Therefore, the total number of people seated in the row is at most 17×3 = 51.

But, we know that there are actually 16 people seated in the row. This is a contradiction, since 51 < 16. Therefore, our assumption that there are no groups of 4 consecutive chairs that are occupied must be false, and we have proved that some group of 4 consecutive chairs must be occupied.

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please help to find the area of this figure

Answers

Answer:

42 units^2

Step-by-step explanation:

central rectangle area

(A=LxW)

7x4=28 units^2,

congruent triangle area

(1/2bxh)

1/2( 7x2)= 7 units^2. (one triangle)

let's add the 3 areas 28 + 7 + 7 = 42 units^2 (your answer)

Please help me anyone please ?!!!?!!

Answers

Answer:

7. 23      

8. (3 - 8) x 5

Step-by-step explanation:

I think the second one is right but I know the first one is.

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In the diagram, ∠AFG and ∠CGF are what type of angles?

A) same side interior angles
B) corresponding angles
C) alternate interior angles
D) alternate exterior angles
E) vertical angles

Answers

A is the right answer, same side interior angles

I need help with this

Answers

The line segment AB and CB are perpendicular to each other.

How to determine if a line is perpendicular?

Check whether the slopes of the lines are the negative reciprocals of one another to see if they are perpendicular to one another. The steps are as follows:

Using the following formula, get the slope of the first line:slope is equal to (y-change) / (change in x)where the "change in y" refers to the difference between the y-coordinates of two points on the line, and the "change in x" refers to the difference between the x-coordinates of the same two places.Using the same formula, determine the slope of the second lineTake the first slope's negative reciprocal by turning it upside down and altering its sign. For instance, the negative reciprocal of the first line's slope of 2/3 is -3/2.Check if the second slope is equal to the negative reciprocal of the first slope. If it is, then the lines are perpendicular.

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the number can be rewritten without a radical in the denominator by multiplying the numerator and denominator by

Answers

To rewrite a number with a radical in the denominator without the radical, we can use the conjugate of the denominator. The conjugate of a binomial expression a + b is a - b, and the conjugate of a - b is a + b.

Suppose we have a number with a radical in the denominator, such as 1/√2. To rewrite this without the radical, we multiply the numerator and denominator by the conjugate of the denominator, which is

√2: 1/√2 = (1/√2) * (√2/√2) = √2/2

Note that the product of the denominator and its conjugate is always a difference of squares, which can be simplified to an integer without a radical.

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​A shopkeeper pays a total of ​​​​$570​ to buy 300 identical items.​​ The shopkeeper sells 200 of these items.​​ The selling price of each of these items is ​​​​such that ​the shopkeeper makes ​​​​a profit of 20% ​​on what he paid for ​​each item.​The shopkeeper then reduces ​​​this selling price by ​25% and ​​he sells the remaining 100 ​​items at this reduced price.​​Calculate the total profit made by the shopkeeper ​​​​in selling all 300 items​​​.​​

Answers

Answer:

I HOPE ITS HELPFUL

Step-by-step explanation:

Cost price of 300 articles = ₹1500Hence cost of each item = 1500/300 = ₹5With 20% profit, selling price of each item = 5 * 120/100 = ₹6Hence, total selling price of 260 items = 260 * 6 = ₹1560Selling price of balance items = 6/2 = ₹3Total selling price for balance items = 40 * 3 = ₹120Total selling price = 1560 + 120 = ₹1680Profit gained = 1680 - 1500 = ₹180Profit percentage = 180/1500 * 100 = 12

What is the coefficient of the fourth term in the expansion of (x - y)^4?

Answers

Answer: the distribution to the x and the 3 makes the solution 4

Step-by-step explanation: i got you broski

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What are the values of each of the exterior angles?
A) 30º, 30º, 60º, 60º
B) 90º, 90º, 180º, 180
C) 60º, 60º, 120º, 120º

Answers

Answer:

C) 60º, 60º, 120º, 120º

Step-by-step explanation:

We know the sum of all the angles in a rectangle is 360 degrees, whether it's irregular or not.

Given: x + 2x + 2x + x = 360

Calculate the linear equation, to find x.

x + 2x + 2x + x = 360

3x + 3x = 360

6x = 360  (Divide both sides by 6)

x = 60 degrees.

Then you can calculate the polygons.

x + 2x + 2x + x

For the first x, = 60.

Then for 2x, 60 * 2 = 120.

Then for 2x again, = 120.

Finally for the last x, = 60.

Therefore, the answer is C) 60º, 60º, 120º, 120º.

Find the slope of the following graph and enter your result in the empty box.

Answers

Answer:

1

Step-by-step explanation:

slope = rise/run = 1/1 = 1

which purchased paint for an upcoming project. She purchased three different colors,
which come in different sized containers. How much paint does she have altogether?
Color
White
Black
Yellow
Amount
0,4 L
0.75 L
0.3 L

Answers

Answer:

1.45 L

Step-by-step explanation:

select all conditions for a discrete probability distribution also referred to as a probability distribution

Answers

The two requirements for a discrete probability distribution are that the probabilities assigned to each possible outcome must be between 0 and 1 inclusive, and the sum of probabilities of all possible outcomes must be equal to 1.

There are two main requirements for a discrete probability distribution,

The probabilities assigned to each possible outcome must be between 0 and 1 inclusive. That is, the probability of each outcome must be a non-negative number, and the sum of probabilities of all possible outcomes must be equal to 1.

Each possible outcome must be mutually exclusive. That is, only one of the possible outcomes can occur on any given trial of the random experiment.

These two requirements ensure that the probabilities assigned to each outcome are valid and that the total probability space is complete, allowing us to make valid inferences and predictions about the outcomes of random events.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are the two requirements for a discrete probability distribution?

Which of the following describes the transformation from Figure 1 to Figure 2?

On a coordinate plane, figure 1 has points (negative 2, 5), (negative 2, 4), (negative 3, 4), (negative 3, 2), (negative 5, 2), (negative 5, 5). Figure 2 has points (2, negative 5), (2, negative 4), (3, negative 4), (3, negative 2), (5, negative 2), (5, negative 5).

Answers

Initially, while maintaining the very same [tex]x-[/tex]coordinates, the negative reflect across the [tex]x-axis[/tex] modifies the signs of all locations' [tex]y-[/tex]coordinates.

Negative: Does it signify plus or minus?

A negative value is one that always has a value lower than zero and is denoted by the minus (-) symbol. In a number line, negative values are displayed just left of zero.

What is the significance of both positive and negative values in math?

If a number is higher than zero, it is considered positive. Or less zero numbers are referred to as negative numbers. If a number is bigger than that or equal to zero, it is not negative. If a number falls below or equal to zero, it is non-positive.

This transforms Figure [tex]1[/tex] into a new figure with points [tex](-2, -5), (-2, -4), (-3, -4), (-3, -2), (-5, -2), (-5, -5)[/tex].

Next, the [tex]180^{0}[/tex] rotation about the origin swaps the signs of both [tex]x[/tex] and [tex]y[/tex] coordinates of each point. This results in the final figure with points [tex](2, -5), (2, -4), (3, -4), (3, -2), (5, -2), (5, -5)[/tex].

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what bias has been applied to a pn junction if the cathode is positive with respect to the anode? a car of mass 772 kg is traveling 21.4 m/s when the driver applies the brakes, which lock the wheels. the car skids for 4.87 s in the positive x-direction before coming to rest. As part of strategic choice, there are three key levels of strategy to consider. This excludes the following:Where to compete.How to compete.Who the competitors are.Which investment vehicle to use. adapted from The Last Lionby Vincente Blasco IbaezPart AHow does the author develop tension in paragraph 2?by emphasizing the conflict between the workshop owners and their employeesby contrasting Seor Vicentes work ethic with that of the younger generationby contrasting Seor Vicentes work ethic with that of the younger generationby revealing Seor Vicentes motivation for speaking at the meetingby revealing Seor Vicentes motivation for speaking at the meeting Observe and compare the forces acting on the turtle and the cat.a turtle and a cat on the ground looking at each other and not moving1. The forces are balanced on both animals because they are not moving.2. The forces are unbalanced on both animals because they are not moving.3. The forces are balanced on the turtle but unbalanced on the cat because it is heavier.4. The forces are balanced on the cat but unbalanced on the turtle because the cat is larger. a 91.74 pound body is being hoisted by a winch, the tension in the hoisting cable being kept constant at 167.97 pounds. at what rate is th body accelerated in ft/sec^2 upward? Case-Based Critical Thinking QuestionsCase 1You have just starting working at Quantum Company. As a new programmer, you have been asked to review and correct various pseudocode.The following pseudocode is not working correctly. How should the for loop be changed?startDeclarationsnum count = 0num scores[6] = 0,0,0,0,0,0num SIZE = 6for count 0 to SIZE step input entryscores[count] = entryendforstop true/false. one lesson learned from the airlines and differentiation is that the company must find areas of higher value that are highly visible to the employees. Which of the following vulnerability scanning options requires the use of a "dissolvable agent"? - Windows Share Enumeration - TCP port scanning - Scan Dead PLS HELPPPP ILL GIVE YOU 30 POINTSSpinning is ________. A. Biking in the mountains or hills B. Biking on rough terrain C. Cycling on a stationary bike D. Cycling on a road bike The following information is taken from the accounts of Latta Company. The entries in the T-accounts are summaries of the transactions that affected those accounts during the year. Manufacturing Overhead(a) 483,840(b) 403,200Bal. 80,640work in placebal. 11,80029500090000(b) 403,200(c) 750,000bal. 50,000finished goodsbal. 40,000(d) 660,000(c) 750,000bal. 130,000cost of goods sold(d) 660,000he overhead that had been applied to production during the year is distributed among Work in Process,Finished Goods, and Cost of Goods Sold as of the end of the year as follows:Work in Process ending 24,000Finished Goods ending 62,000Cost of Goods Sold 316,800Overhead applied 403,200For example, of the $50,000 ending balance in work in process, $24,000 was overhead that had been applied during the year Required: 1.Identify reasons for entries (a) through (d). 2. Assume that the underapplied or overapplied overhead is closed to Cost of Goods Sold. Prepare the necessary journal entry 3. Assume that the underapplied or overapplied overhead is closed proportionally to Work in Process, Finished Goods, and Cost of Goods Sold. Prepare the necessary journal entry. aball is thrown horizontally from the top of a building 120 m high. the ball strikes the ground at a point 75 m horizontally away from and below the point of release. what is the resultant speed of the ball just before it strikes the ground? b) Father is 30 years older than his son. After five years, he will be three times as old as his son will be. Find their present age. Ace Hardware has a rewards program for loyal customers. After a certain number of purchases, Ace sends a customer a gift card to be used within a two-month period. This example shows that _______.a. CRM thanks all customers for their business with a rewards cardb. consumers are loyal to companies that have rewarded loyalty with a gift cardc. consumers are only loyal to companies that have low pricesd. CRM techniques focus on rewarding all customers a 0.100 mole sample of ethane, c2h6, contains which of these? hint: how many atoms are present in one c2h6 molecule? The Federal Fair Housing Act of 1968 has certain exemptions. Which of the following activities fall under one of the exemptions?A. Refusing to show homes to a couple based on their race.B. Refusing to sell a listed property to a Russian family using the services of a real estate broker.C. Refusing to lease a unit in a large apartment building to a family with five children.D. Excluding certain tenants in a four-family dwelling where one unit is owner-occupied and the Juanita and Neha are considering contributing toward the creation of a water fountain. Each can choose whether to contribute $300 to the water fountain or keep that $300 for a weekend getaway.Since a water fountain is a public good, both Juanita and Neha will benefit from any contributions made by the other person. Specifically, every dollar that either one of them contributes will bring each of the $0.70 of benefit. For example, if both Juanita and Neha choose to contribute, then a total of $600 would be contributed to the water fountain. So, Juanita and Neha would each receive $420 of benefit from the water fountain, and their combined benefit would be $840. This is shown in the upper left cell of the first table.Since a weekend getaway is a private good, if Juanita chooses to spend $300 on a weekend getaway, Juanita would get $300 of benefit from the weekend getaway and Neha wouldn't receive any benefit from Juanita's choice. If Juanita still spends $300 on a weekend getaway and Neha chooses to contribute $300 to the water fountain, Juanita would still receive the $210 of benefit from Neha's generosity. In other words, if Juanita decides to keep the $300 for a weekend getaway and Neha decides to contribute the $300 to the public project, then Juanita would receive a total befit of $300+$210=$510, Neha would receive a total benefit of $210, and their combined benefit would be $720. This is shown in the lower left cell of the first table.Complete the following table, which shows the combined benefits of Juanita and Neha has previously described: Zeros: 9, multiplicity 1; 1, multiplicity 2; degree 3Form a polynomial whose zeros and degree are given. Now that you are more familiar with federal influence in education policy, select one of the policies discussed with regard to federal educational control. In your opinion, was the policy successful in its purpose? Does the policy support further efforts to increase federal educational control? A type of wood has a density of 250 kg/m3. How many kilograms is 75,000 cm3 of the wood? Give your answer as a decimal.