For f(x)=3x^2 – x+5, find the following 2f(–3) – f(4)=

Answers

Answer 1

Answer:

33

Step-by-step explanation:

evaluate f(- 3) by substituting x = - 3 into f(x)

f(- 3) = 3(- 3)² - (- 3) + 5 = 3(9) + 9 + 5 = 27 + 14 = 41

evaluate f(4) by substituting x = 4 into f(x)

f(4) = 3(4)² - 4 + 5 = 3(16) + 1 = 48 + 1 = 49

Then

2f(- 3) - f(4) = 2(41) - 49 = 82 - 49 = 33

Answer 2
f(–3) =3×2-(-3)+5
3×2+3+5
=14
f(4)=3x2 – (4)+5
3×2-4+5
=7
2f(–3) – f(4)=
2(14) – f(7)=
28-7
=21


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Related Questions

Some doctors recommend that men drink 3 liters of water every day. there are approximately 29.6 milliliters in 1 fluid ounce. which measurement is closest to the number of fluid ounces in 3 liters? responses 89 fl oz 89 fl oz 10 fl oz 10 fl oz 101 fl oz 101 fl oz 33 fl oz 33 fl oz

Answers

The measurement closest to the number of fluid ounces there are in 3 liters is 101 fl oz.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

If there are approximately 29.6 milliliters in 1 fluid ounce, then divide 3 liters by 29.6 milliliters to get the amount of fluid ounces it has.

29.6 milliliters = 1 fluid ounce

3 liters = 3000 milliliters

3000 milliliters / 29.6 milliliters = 101 fluid ounce

Hence, 3 liters ≈ 101 fluid ounces.

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Why are most streets designed in a way that they are perpendicular or parallel to each other? ...

Answers

The simple reason why streets are usually designed parallel or perpendicular to each other is because that pattern makes it easy for users to connect people easily.

What is meant by perpendicular and parallel streets?

A perpendicular street can simply be defined as a street which intersect another streets. However, on the other end, two streets are said to be parallel to each other when they are in the same distance apart. The same is applicable in mathematics as a perpendicular line intercept another line and parallel lines don't meet.

That being said, when streets are parallel or perpendicularly designed, residents of the environment find it easy to communicate with each other. Business owners use this easy accessibility to easily describe their addresses to customers.

So therefore, it can be deduced from the given explanation above that when streets are designed with good planning, it makes people access it easily.

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what is the smallest odd number you can make with 3 4 6 and 8

Answers

Answer: You cannot.

Step-by-step explanation:

3 can be multiplied into an odd number

4 cannot be multiplied into an odd number

6 cannot be multiplied into an odd number

8 cannot be multiplied into an odd number

Overall, you will not be able to get an odd number with the numbers provided.

Answer: 4683

Step-by-step explanation:

To have an odd number, and since the only odd number you have in your list is 3, that would be in the one's place. Then, you have to put the smallest number (except for 3) in the front. Now, you have two more places to fill in (4 _ _ 3). Like the 4, put the 6 after the 4 to have the smallest possible hundreds place. Now place the eight. Your final number should be... 4683.

The state board of education has $5,647 to buy new calculators. each calculator costs $2. after buying as many calculators as it can with its budget, how much money will the state board of education have left over?

Answers

By basic arithmetic, the state board of education will have $1 left .

What is meant by basic arithmetic?

The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. The four fundamental arithmetic operations in mathematics are addition (finding the sum), subtraction (finding the difference), multiplication (finding the product), and division (finding the quotient). These operations can be applied to all real numbers. The usage of fundamental arithmetic operations is the focus of the field of mathematics known as arithmetic.

Addition, subtraction, multiplication, and division are the four operations employed in arithmetic.

The total amount the state board has = $5647

The cost of calculator = $ 2

The total number of calculators bought = 5647/2

= 2323.5

≈ 2823

So, the cost of 2323 calculators

= 2823 × 2

= 5646

So, the money the state board of education left = $5647 - $5646

= $1

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If the taxi company only has $10.50 to spend, what value does this represent?

Answers

The statement "If the taxi company only has $10.50 to spend" represents that the maximum amount to spend is $10.50.

Amount to spend by the taxi driver ≤ 10.50.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

The taxi company only has $10.50 to spend.

This means that,

The maximum amount to spend is $10.50.

We can also represent as:

Amount to spend by the taxi driver ≤ 10.50.

Thus,

The statement "If the taxi company only has $10.50 to spend" represents that the maximum amount to spend is $10.50.

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A skydiver fell toward Earth at a steady speed for 10.0 seconds. He fell 593 meters in that
time. What was his speed?

Answers

Answer:

59.3 meters/second

Step-by-step explanation:

593 / 10 = 59.3

assume the state of arkansas placed a tax on playing cards of 6 cents per pack. if the state generated $48600 in revenue, how many packs of cards were sold?

Answers

The number of pack of cards sold at the state of Arkansas is 8100.

Describe the term division?Multiplication is the complete reverse of division. If participants of 4 add up to 12, then 12 divided into three classes of equally sized results in 4 in each group.

For the values given in question.

The tax on playing card in state of Arkansas = 6 cents per pack.

Total revenue generated =  $48600.

Divide total revenue by one pack price to get the number of packs.

Number of pack = Total revenue/price of each pack

Number of pack =  $48600/6

$48600.Number of pack = 8100

Thus, the number of pack of cards sold at the state of Arkansas is 8100.

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if a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (round your answer to the nearest second.)

Answers

The time taken by peregrine falcon dove at its maximum speed to cover half a mile is 9 sec.

Who is peregrine falcon dove?It can be found with in Arctic tundra of North America and Greenland, and it migrates to Central and South American countries as during winter.The peregrine falcon is the world's swiftest bird, diving to acquire its prey at speeds of over 321 kph (200 mph). They are also among the most tolerant species and can flourish in populated places.

For the given question;

The maximum speed of peregrine falcon dove is 200 mph.

Time of travel  = 0.5 miles.

The relation of distance and speed is;

speed = distance/time

200 mph = 0.5 miles / time

Time = 0.5 miles / 200 mph

Time = 0.5 × 60 × 60  miles / 200 m/ sec

Time = 9 sec

Thus, time taken by peregrine falcon dove at its maximum speed to cover half a mile is 9 sec.

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Theo mows a lawn. After working for 1 3/5 hours, he has mowed 7/9 of the lawn. Can Theo mow the lawn in 2 hours if he continue to mow at the same rate?

Answers

Yes, he can mow the lawn in 2 hours.

What is work done?

We can define the work done as, a work done in a given period of time.

Given that, Theo mows a lawn. After working for 1 3/5 hours, he has mowed 7/9 of the lawn

In [tex]1\frac{3}{5}[/tex] hours he mows 7/9 part of lawn

Therefore, in 8/5 hours he is mowing 7/9 part of lawn

In 1 hour = 7/9*5/8 = 35/72

In 2 hours = 35/72*2 = 35/36 ≈ 1

Hence, Yes, he can mow the lawn in 2 hours.

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(DUE IN 2 HOURS PLEASE HELP) Find an equation for the line that passes through the points (5, 2) and (-4, 5).

Answers

Answer:

Y= -1/3x+11/3

Step-by-step explanation:

Answer is y = -1/3x + 3 2/3

First we find slope

y2 - y1 over x2 - x1
5-2 over -4 -5 = -3/9 or -1/3

Next we use one set of points and slope into equation

(5, 2) and slope = -1/3

y - y1 = m (x - x1)

y - 2 = -1/3 (x - 5)

y -2 = -1/3x + 5/3

add 2 to both sides to isolate y

y -2 +2 = -1/3x + 5/3 + 2

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

The graph of a quadratic function with vertex (-3,1) is shown in the figure below. Find the range and the domain

Answers

The domain of the given quadratic function is { -3 }

and range is { 1 }

What is a domain and range ?

A function's domain is the set of values that can be plugged into it. This set symbolizes the x values in a function like f. (x). Additionally, we can deduce that a function's range refers to the set of values it can accept. There are values in this set that the function returns when we enter an x value.

The domain of the given quadratic function is { -3 }

and range is { 1 }

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the binominal distribution: a. is symmetric irrespective of the value of the probability of success. b. models n independent replications of a bernoulli experiment, each with a probability p of success. c. assumes that the average number of occurrences per unit is a constant and that occurrences are independent. d. is a discrete distribution used to model the number of occurrences in some unit of measure

Answers

The correct option is B "Models n independent replications of a Bernoulli experiment each with a probability p of success".

What is binomial distribution?

It is a frequency distribution of the number of successful outcomes that could occur in a set number of trials with an equal chance of success. In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p. When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.

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Parallelogram PQRS is shown. m/S=(3x), m/R=120, and m/Q=(2y). Find the value of y.A.
20
B.
30
C.
40
D.
60

Answers

Option B. From the parallelogram PQRS the value of y is given to be 30

How to solve for the value of y from the parallelogram

In order to get the value of y we have to use the formula

2y + 120 = 80

where the value 120 is the angle that is stated as 120 from the question

2y = 180 - 120

2y = 60

y = 60 / 2

y = 30

Hence the value of y = 30

We can go ahead to get the value of x as well

3x + 120 = 180

take the like terms

3x = 180 - 120

3x = 60

divide through by 3 to get x

60 / 3 = x

20 = x

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I need to know the answer

Answers

Step-by-step explanation:

The graph of [tex]p(x)=2x^3[/tex] is less steep than [tex]f(x)=2.5x^3[/tex] because the coefficient 2 is less than the coefficient 2.5.  That makes points on the graph of p(x) lie closer to the x-axis than points on the graph of f.  For example, if  x = 2, the point (2, 20) is on the graph of  f  but the point (2, 16) is on the graph of  p (so it lies under the point (2, 20).

The graph of [tex]p(x)=-x^3[/tex] is less steep than the graph of  f  and it is reflected over the x-axis.  The negative coefficient -1 is doing that.  The values of the function  p(x)  are opposite sign to values of  f(x).

The graph of [tex]p(x)=3x^3[/tex] is steeper than the graph of f(x) because the coefficient 3 is larger than the coefficient 2.5, making the points on the graph of   p  lie farther away from the x-axis than points on the graph of  f(x).

A triangle has sided with lengths of 20 miles, 25 miles, and 30 miles. Is it a right triangle ?

Answers

Answer:

No

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

For a Triangle to be a Right-Angled Triangle, should follow the Pythagoras Theorem which states that

If a is the larger side and b , c are the lengths of the other two sides

Then [tex]a^{2} =b^{2} +c^{2}[/tex]

Here a=30  , Then [tex]a^{2}=30^{2} =900[/tex]

and b=20 , c=25  , Then [tex]b^{2} +c^{2} =20^{2} +25^{2} =1025[/tex]

Since [tex]a^{2} \neq b^{2} +c^{2}[/tex]

Then the Triangle is not Right Triangle

What is the perimeter of the figure?

32.0cm
51.0cm
19.0cm
63.0cm

Answers

The perimeter of the figure is 32 cm

How to determine the perimeter of the shape?

The figure represents the given parameters

On the figure, we have the lengths of the side lengths to be:

Lengths = 7 cm, 5 cm, 3 cm, 4 cm, 4 cm, 9 cm

To determine the perimeter of the shape, we simply add the side lengths

Mathematically, this can be represented as

Perimeter = Sum of side lengths

Substitute the known values in the above equation So, we have the following equation

Perimeter = 7 cm + 5 cm + 3 cm + 4 cm + 4 cm + 9 cm

Evaluate the sum

Perimeter = 32 cm

Hence, the perimeter is 32 cm

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Evaluate the expression and enter your answer in the box below.
|34|

Answers

Answer:

34

Step-by-step explanation:

Absolute value means the distance from 0. So the absolute value of 34 is just 34.

Rachel bought three and fifty-two hundred pounds of apples at the store. How is this written in number form?
3.0052
3.052
3.502
3.52

Answers

Answer:   3.52

Step-by-step explanation:   fifty-two hundredths as a number would be 0.52, so 3.00 + 0.52 would be 3.52

suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. we find the heights of 60 people. (you may need to use the standard normal distribution table. round your answers to the nearest whole number.) (a) how many would you expect to be between 165 and 175 cm tall? people (b) how many would you expect to be taller than 167 cm?

Answers

The expected number of people between 165 and 175 is 41.

The expected number of people taller than 168 is 39.

Given that the mean and standard deviation of people's heights (measured in centimeters) are 170 and 5 respectively. The heights of 60 people are revealed.

μ = 170

σ = 5

n = 60

(a) The probability would you expect to be between 165 and 175 cm tall;

P( 165 < x < 175 ) = P( (165 - 170)/5 < z < (175 - 170)/5 )

                            = P( -1 < z < 1 )

                            = P( z < 1) - P( z < -1 )

                            = 0.8413 - 0.1587

                            = 0.6826

Expected number of people between 165 and 175 = n * p

                                                                                    = 60 * 0.6826

                                                                                    = 40.956

                                                                                    ≅ 41

(b) The probability would you expect to be taller than 167 cm;

P( x >  167 ) = P( z > (167 - 170)/5 )

                   = P( z > -0.6 )

                   = 0.7257

Expected number of people taller than 168 = n * p

                                                                        = 60 * 0.7257

                                                                        = 43.542

                                                                        ≅ 39

Hence,

The expected number of people between 165 and 175 is 41.

The expected number of people taller than 168 is 39.

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n a recent survey in a statistics class, it was determined that only 60% of the students attend class on fridays. from past data it was noted that 98% of those who went to class on fridays pass the course, while only 20% of those who did not go to class on fridays passed the course. a. what percentage of students is expected to pass the course?

Answers

The percentage of students expected to pass the course is 66.8%

The given data represents;

In a recent survey in a statistics class, it was determined that only 60% of the students attend class on Fridays. from past data, it was noted that 98% of those who went to class on Fridays passed the course, while only 20% of those who did not go to class on Fridays passed the course.

We need to find the percentage of students who are expected to pass the course.

Let 'A' be the event of passing,

     'B' be the event of attending on Fridays.

P (A I B) = 0.98 * P (A I B') = 0.2

P (B) = 0.6

Then, P (B') = 1 - 0.6

                  = 0.4

→ P (A ∩ B) = P (A I B) * P (B)

                 = 0.98 * 0.6

                 = 0.588

→ P (A ∩ B') = P (A I B') * P (B)

                  = 0.2 * 0.4

                  = 0.08

∴ P(A) = P (A ∩ B) + P (A ∩ B')

          = 0.588 + 0.08

          = 0.668

Hence, the percentage of students expected to pass the course is 66.8%

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a random variable is normally distributed with a mean of 25 and a standard deviation of 5. if an observation is randomly selected from the distribution, what value will 15% of the observations be below?

Answers

the 2 values X(19.8,30.2)  is value will 15% of the observations be below .

by hypothesis .

What is hypothesis ?

A hypothesis is an assertion, a notion put up for the purpose of debating and then examined to discover if it might be true. Prior to conducting any relevant research, other than a brief background review, the hypothesis is developed using the scientific method.

Here, Mean(\mu) and Standard Deviation (\sigma)= 5. You need to find the 2 values of which the smallest has 15% of the values below it i.e (Z<x)= 0.15 and the largest has 15% of the values above it i.e(Z>y)= 0.15.

Now we need to refer to the Z tables and see which value of x corresponds to 0.15, and we see that -1.04 is = 0.149 \sim 0.15

Now we know that the Z value is given by Z = X - μ/σ

Substituting we get

  -1.04= (X-25)/5

therefore -5.2= X-25 or X= 19.8

Now let us get the value of X for (Z>y)=0.15`. Since Z tables give values for Z<a only, hence we can write that

Z>y=0.15 is the same as Z<y= 1-0.15= 0.85. We now check the Z tables and see which value of Z corresponds to 0.85, and we get 0.850 = +1.04

Again, substituting Z in the equation Z = X - μ/σ

we get

+1.04= (X-25)/5

Therefore 5.2= X-25, therefore X= 30.2

From the 2 values X(19.8,30.2)

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A marathon is 26.2 miles long. There is a water station every 1 31/100 miles along the race route. Which expression represents the total number of water stations?

Answers

The expression that represents the total number of water stations is 26.2 ÷ 1.31

What is an expression?

An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

It's important to note as an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this case, the marathon is 26.2 miles long and there is a water station every 1 31/100 miles along the race route. The expression will be:

= 26.2 ÷ 1 31/100

= 26.2 ÷ 1.31

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Calculate the area of the square!

Answers

Answer:

The answer is 169

Step-by-step explanation:

I’m pretty sure it’s 169

under what circumstances would a score that is 10 points below the mean be considered to be an extreme value? select one: a. when the mean is much greater than 10 b. when the mean is much less than 10 c. when the standard deviation is much greater than 10 d. when the standard deviation is much less than 10

Answers

The correct option d. when the standard deviation is much less than 10.

Describe the term standard deviation?The term "standard deviation" (or "σ") applies to a measurement of the data's dispersion from the mean. A low standard deviation indicate that the data are grouped around the mean, although a large standard deviation indicates that the data are more dispersed.

When a value is 10 points beyond the norm, it is said to be an extreme value or an outlier.

When a point deviates significantly from the mean in comparison to other points, it is referred to as an outlier. Z-scores can be used to establish this. Remember the z-score formula:

z = (x - μ) / σ

μ = mean σ = standard deviationx = point of interest

The outlier should have a very big magnitude z-score. We are aware that the score in this issue is 10 points just below mean, we can say:

A lesser value of would raise the magnitude of a z-score, increasing it to the maximum extent achievable.

Therefore, this point would be an outlier whether its standard deviation was drastically lower than 10.

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What is the side length of the smaller square in the diagram?

Answers

The side length of the smaller square is 3 cm.

Given that:-

Length of the larger square = [tex]3\sqrt{2}[/tex] cm.

We have to find the length of the smaller square.

As the length of the larger square is equal to the diameter of the circle

Hence,

Diameter of the circle = [tex]3\sqrt{2}[/tex] cm

Now,

The diameter of the circle is equal to the diagonal of the square.

Hence, diagonal of the square =  [tex]3\sqrt{2}[/tex] cm

Let the length of the square be x cm.

Hence, by pythagoras theorem, we can write,

[tex]x^2+x^2=(3\sqrt{2} )^2\\x^2+x^2=18\\2x^2=18\\x^2=9\\[/tex]

x = 3 cm

Hence, the length of the smaller square is 3 cm.

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Whose limeade has a weaker like flavor?

Answers

well, your proportion setup is good, let's simply use that then

[tex]\stackrel{Jaylan}{\cfrac{~~ \frac{ 3}{4 } ~~}{\frac{1}{5}}}\implies \cfrac{3}{4}\cdot \cfrac{5}{1}\implies \cfrac{15}{4}\implies \cfrac{3\frac{3}{4}}{1}~\frac{water}{lime} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Wanchen}{\cfrac{~~ \frac{ 2}{3 } ~~}{\frac{1}{6}}}\implies \cfrac{2}{3}\cdot \cfrac{6}{1}\implies \cfrac{12}{3}\implies \cfrac{4}{1}~\frac{water}{lime}[/tex]

well, the one with the lesser lime flavor will  be the one that put too much water in the drink, the more water the less the fruit mix, the more waterdowned the drink is, well hell who put more water per lime?  well Wanchen, shame on you.

Carlos is a receptionist at a law firm. he spends 2 minutes routing each phone call as it comes in. write an equation that shows how the total number of minutes carlos spends routing calls, y, depends on the number of calls, x.

Answers

The equation to show the total no. of minutes Carlos spends routing calls is y = 2x

To find the required equation, use the following given data:

Time taken by Carols for routing each call = 2 minutes

Total number of calls = x

Total number of minutes Carol spends routing calls = y

The one-dimensional function takes up a single input value (x) and outputs a single evaluation of the given input (y).

So, by practical application of one-dimensional function,

Total number of minutes Carols spends routing calls (y) = Time taken by Carols for routing each call * Total number of calls (x)

∴ The equation will be y = 2*x

Thus, y = 2x shows the total number of minutes Carlos spends routing the calls.

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pls hurry and thanks 40 pts

Answers

The angle of x in the triangle is 75 degrees.

How to find the angles of triangle?

The sum of angles in a triangle is 180 degrees. The triangle is a an isosceles triangle.

An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.

Therefore, the base angles are equal.

The third angle of the triangle is 30 degrees(vertically opposite angles)

Hence,

x + x + 30 = 180

2x + 30 = 180

2x = 180 - 30

2x = 150

x = 150 / 2

x = 75 degrees

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Help me please ill add more points than usual!

Answers

Answer:  how

Step-by-step explanation: love

do 15/sin38 which is 24.36 to 2dp

Find DE, please help me

Answers

Step-by-step explanation:

ABC and CDE are similar triangles.

similar shapes means that both shapes have the same angles. and : that there is one scaling factor for all lines of one of the shapes to calculate the lengths of the lines of the other shape.

we see that all the other sides of ABC are scaled 2:1 to the corresponding sides of CDE. that means the sides of ABC are twice a long as the sides of CDE.

the same scaling factor has to apply to AB vs. DE.

therefore,

11x - 25 = 2(4x + 1) = 8x + 2

3x = 27

x = 9

DE = 4x + 1 = 4×9 + 1 = 36 + 1 = 37

Other Questions
problem 10-14 (algo) basic variance analysis [lo10-1, lo10-2, lo10-3] becton labs, incorporated, produces various chemical compounds for industrial use. one compound, called fludex, is prepared using an elaborate distilling process. the company has developed standard costs for one unit of fludex, as follows: standard quantity or hoursstandard price or ratestandard cost direct materials2.00ounces$ 21.00per ounce$ 42.00 direct labor0.90hours$ 12.00per hour10.80 variable manufacturing overhead0.90hours$ 2.00per hour1.80 total standard cost per unit$ 54.60 during november, the following activity was recorded related to the production of fludex: materials purchased, 10,000 ounces at a cost of $197,000. there was no beginning inventory of materials; however, at the end of the month, 2,550 ounces of material remained in ending inventory. the company employs 24 lab technicians to work on the production of fludex. during november, they each worked an average of 170 hours at an average pay rate of $11.50 per hour. variable manufacturing overhead is assigned to fludex on the basis of direct labor-hours. variable manufacturing overhead costs during november totaled $4,800. during november, the company produced 3,700 units of fludex. required: 1. for direct materials: a. compute the price and quantity variances. b. the materials were purchased from a new supplier who is anxious to enter into a long-term purchase contract. would you recommend that the company sign the contract? 2. for direct labor: a. compute the rate and efficiency variances. b. in the past, the 24 technicians employed in the production of fludex consisted of 6 senior technicians and 18 assistants. during november, the company experimented with fewer senior technicians and more assistants in order to reduce labor costs. would you recommend that the new labor mix be continued? 3. compute the variable overhead rate and efficiency variances. PLSSS HELPchoices for 1- g(x) = -x-4- g(x) = x-5- g(x) = -x-5- g(x) = -x-4choices for 2- h(x) = -0.5x + 2- h(x) = -0.5x + 3- h(x) = -2x + 3- h(x) = -2x + 2 Do the consequences of using nuclear energy outweigh the benefits? If your investment strategy was to buy low and sell high and you had to buy a stock today which one of these 4 stocks would you buy? Explain the choice you made. Why did the author most likely use dialogue instead ofdescription?to allow the plot to progress to show how the narrator feltto emphasize the point of dewto show who the characters are according to social scientists, gender and gendered behavior are not affected by the socialization process. true false Is 4.5 greater, less than, or equal to 4 and 1/2 Describe the law of dominance inshort with a chart suppose that, because of inflation, people in brazil economize on currency and go to the bank each day to withdraw their daily currency needs. this is an example of The mean systolic blood pressure of people in the U.S. is 124124 with a standard deviation of 1818. Assume that systolic blood pressure follows a normal distribution. Round your answers to one decimal. Use the 68-95-99.7 Rule to answer the following questions. a) What percentage of the people in the U.S. have systolic blood pressure between 106106 and 124124?%%Previewb) What percentage of the people in the U.S. have systolic blood pressure between 8888 and 160160?%%Previewc) What percentage of the people in the U.S. have systolic blood pressure between 7070 and 124124?%%Previewd) What percentage of the people in the U.S. have systolic blood pressure above 160160?%% true or false: under the pecking order hypothesis, a firm will raise capital by using its net income, selling its marketable securities, issuing debt, and then issuing stock as the last resort. false true An important message from the excerpt from "Herakles: The Hero of Thebes" is that i need help the bubble of cold (blue) air on the left is separated from the warm (brown) air by a boundary, or narrow transition zone, called a What is a negative control?A- Group that gives a result that disproves your hypothesisB- Group in which no response is expectedC- Group that gives an unexpected resultD- Group in which a response is expected Write an exponential function in the form y = ab^x that goes through points (0, 14)and (4,8750). companies that advocate unity of command would be least likely to adopt which organizational structure? molly is developing the habit of doing her homework as soon as she gets home. today she was tempted to go outside and play with her dog, and she actually got up from the table for a few seconds, but then thought better of it and sat back down. molly is displaying her: QuestionFind the rate if a principal of $1,100 earned $1,089 interest in 12years. Requiring a literacy test before allowing a person to vote was discriminatory because?. You have eight marbles. all the marbles weigh the same, except for one, which is heavier than all the others. the marbles are otherwise indistinguishable. you may make no assumptions about how much heavier the heavy marble is. the task is to find the heavy marble by using a two-pan balance what is the minimum number of weighings required to identify the heavy marble?