The derivative dw dz of the function w = 3z? – 723 + 2122 at z = 1 is

Answers

Answer 1

The derivative dw/dz of the function w = 3z^3 - 723z + 2122 at z = 1 is -714.

To find the derivative dw/dz of the function w = 3z^3 - 723z + 2122 at z = 1:

Follow these steps:

STEP 1: Identify the function: w = 3z^3 - 723z + 2122
STEP 2: Differentiate the function with respect to z:
  dw/dz = d(3z^3)/dz - d(723z)/dz + d(2122)/dz
STEP 3: Apply the power rule for derivatives:
  dw/dz = 3(3z^2) - 723(1) + 0
STEP 4: Simplify the derivative:
  dw/dz = 9z^2 - 723
STEP 5: Evaluate the derivative at z = 1:
  dw/dz = 9(1)^2 - 723
  dw/dz = 9 - 723
  dw/dz = -714

So, the derivative dw/dz of the function w = 3z^3 - 723z + 2122 at z = 1 is -714.

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Related Questions

find the value of y answer is not
\(14 \sqrt{3} \)
. NO SCAMS OR LINKS! THANKS FOR THE HELP

find the value of y answer is not [tex]14 \sqrt{3} [/tex]. NO SCAMS OR LINKS! THANKS FOR THE HELP

Answers

Answer:

\( \tan(60 \degree) = \frac{21}{y} \\ y = \frac{21}{ \tan(60 \degree) } \\ y = 12.124 \\ = 7 \sqrt{3} \)

what is the least common denominator for rational expression?

what is the least common denominator for rational expression?

Answers

Answer:

\( \large \bf \implies{(x - 6)^{2}(x + 1) }\)

Step-by-step explanation:

\( \sf \longrightarrow\frac{1}{ {x}^{2} - 5x - 6} \: and \: \frac{1}{ {x}^{2} - 12 + 36 } \\ \)

\( \sf \longrightarrow \frac{1}{ {x}^{2} - 5x - 6 } = \frac{1}{(x - 6)(x + 1)} \\ \\ \sf \: and \\ \\ \sf \longrightarrow \frac{1}{ {x}^{2} - 12x + 36 } = \frac{1}{(x - 6)(x - 6)} \)

\(\sf \longrightarrow \frac{1}{(x - 6) ^{2}(x + 1) } \\ \)Therefore, the least common denominator is (x - 6)²(x+1).

Additional information:

# How to solve middle splitting term ?

Step 1) : First of all notice that term is in standard form.

For eg :- 6x + 2x² + 5 = 2x² + 7x + 5

Step 2) : Multiply with first and last term.

2 × 5 = 10

Step 3) : Next we have multiply got the answer 10 and subtract or add we have got the answer 7.

1 × 10 = 10 and 10 - 1 = 9 or 10 + 1 = 112 × 5 = 10 and 5 - 2 = 3 or 5 + 2 = 7

Now, we have got the term. We have multiply 2 and 5 got the answer 10 and we have add got the answer 7.

Step 4) : Attach the factor into the removal of 7x

2x² + 5x + 2x + 5

Step 5) : Simplify it

2x² + 5x + 2x + 5x(2x + 5) + 1(2x + 5)(2x + 5)( x + 1)

Step 6) : We have got the answer

\(\sf \longrightarrow(2x + 5)(x + 1)\)

please help me answer this ty :)

please help me answer this ty :)

Answers

Your answer is (-∞, ∞)

((50+50+50)*85)*0.9=

Answers

Answer:

(150*85)*0.9

=12750*0.9

=11475

Answer:

11475

Step-by-step explanation:

((50+50+50)*85)*0.9=

(150*85)*0.9=

12750*0.9=

11475

The graph below shows the eye color for a classroom of students.

The graph below shows the eye color for a classroom of students.

Answers

Answer:

it is Greater than because blue and green combined equal to 12

PLEASE HELP!
A house is being purchased for $138,000.00. The 30-year mortgage has a 10% down payment, an interest rate of 4.875%, and a PMI payment of $25.88 each month for 77 months. The yearly taxes are $2400.00, and the insurance is $750.00 per year, which is to be placed into an escrow account.

PS:
Answers are NOT the following;
$188,500.00
$129,500.00
$238,600.00

Answers

Answer:

i am sure it is number 3 238,600

83,456-728.88 what is the answer ​

Answers

The required answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

What is subtraction?

Subtraction is mathematical terminology that helps and elaborates the decrease in the original value by some value.

Here,
To perform the subtraction, you line up the decimal points and subtract the digits in each place value starting from the right. In this case, you subtract 8 from 6, which requires borrowing 1 from the digit to the left, giving you 16 - 8 = 8 in the one's place. You then subtract 2 from 5, giving you 3 in the tenth place. Continuing this process, you get the result of 82,727.12.

Thus, the answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

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answer this please..​

answer this please..

Answers

Answer:

Answer is 6 because line are parallel

What percentage of the measurements in the data set lie to the right of the median? ___ % What percentage of the measurements in the data set lie to the left of the upper quartile? ___ %

Answers

To answer this question, we need to know the median and upper quartile of the data set. Once we have these values, we can determine what percentage of the data falls to the right of the median and to the left of the upper quartile.
Let's say the median of the data set is 50 and the upper quartile is 75. To find the percentage of measurements to the right of the median, we need to look at the data values that are greater than 50 and divide that number by the total number of measurements. Let's say there are 40 data values greater than 50 and a total of 100 measurements.

Then, the percentage of measurements to the right of the median would be:

(40/100) x 100% = 40%

To find the percentage of measurements to the left of the upper quartile, we need to look at the data values that are less than or equal to 75 and divide that number by the total number of measurements. Let's say there are 60 data values less than or equal to 75 and a total of 100 measurements. Then, the percentage of measurements to the left of the upper quartile would be:

(60/100) x 100% = 60%


Your answer:
1. 40% of the measurements lie to the right of the median.
2. 60% of the measurements lie to the left of the upper quartile (Q3).

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A circular rug has a radius of 1 yard. Determine
the area of the rug to the nearest tenth of a
square foot.
1 yard
F. 3.9 ft?
G. 4.9 ft
H. 18.8 ft
J. 28.3 ft?

Answers

I think the answer you’re looking for is
F.
- I hope this helps, I got it right. Enjoy the rest of your day/night, please make me brainliest!

a. Determine the regression equation from which we can predict the yield of wheat in the county given the rainfall. Narrate your equation in a sentence or two. b. Plot the scatter diagram of raw data and the regression line for the equation. c. Use the regression equation obtained in (a) to predict the average yield of wheat when the rainfall is 9 inches. c. Use the regression equation obtained in (a) to predict the average yield of wheat when the rainfall is 9 inches. d. What percentage of the total variation of wheat yield is accounted for by differences in rainfall? e. Calculate the correlation coefficient for this regression.

Answers

a. Regression equation: The regression equation for predicting yield of wheat from rainfall is:y = 14.757 + 5.958 xIt narrates that the predicted yield (y) of wheat in the county is equal to 14.757 plus 5.958 times the rainfall (x).

b. Scatter diagram:The scatter diagram with the regression line for the equation is shown below:

c. Predicting the average yield of wheat when the rainfall is 9 inches:

When the rainfall is 9 inches, we can use the regression equation to predict the average yield of wheat:

y = 14.757 + 5.958 (9) = 68.013

Therefore, the average yield of wheat is predicted to be approximately 68.013 when the rainfall is 9 inches.

d. Percentage of the total variation of wheat yield accounted for by differences in rainfall:

We can find the coefficient of determination (r2) to determine the percentage of the total variation of wheat yield accounted for by differences in rainfall:

r2 = SSR/SST = 23.575/34.8 ≈ 0.678 or 67.8%

Therefore, approximately 67.8% of the total variation of wheat yield is accounted for by differences in rainfall.

e. Correlation coefficient for this regression:

We can find the correlation coefficient (r) as the square root of r2:

r = √r2 = √0.678 ≈ 0.823

Therefore, the correlation coefficient for this regression is approximately 0.823.

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HELPPPPPPPPPPP MEEEEE

HELPPPPPPPPPPP MEEEEE

Answers

the answer is nearest integers

Viven's handspan measures 18.5 cm. Estimate the number of times Viven uses her handspan to measure a length of 1 meter 75 cm. Please show how the number of times Viven use her handspan!

Answers

75 meters is 175 centimeters

estemate what is 175 ÷ 18.5. It can't be 10 because 18.5 is 185 which is greater than 175, so let's estemate Vivein will have to use het handspan 9 times


For continuous data to be statistically significant, a good rule
of thumb is that there should be at least how many samples?
A. 5
B. 25
C. 50
D. 100

Answers

While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

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Solve each exercise by using the golden ratio (1 + √5):2.


The ratio of the height : width of a window is equal to the golden ratio.

The width of the door is 36 in. Find the height of the door. Express your

answer in simplest radical form and in inches.

Answers

Solve this problem using the golden ratio. Given the golden ratio (1 + √5) : 2 and the width of the door, we will find the height of the door.

Step 1: Write the ratio as a fraction.
The golden ratio can be written as a fraction: (1 + √5) / 2.

Step 2: Set up a proportion.
Let the height of the door be h. Then we can write the proportion:

height : width = (1 + √5) / 2
h / 36 = (1 + √5) / 2

Step 3: Solve for h.
To find the height of the door, we'll cross-multiply and solve for h:

h = 36 * (1 + √5) / 2

Step 4: Simplify the expression.
First, we'll distribute the 36:

h = (36 + 36√5) / 2

Next, we'll divide each term by 2:

h = (18 + 18√5)

So, the height of the door is 18 + 18√5 inches, which is in simplest radical form.

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EFGH is a parallelogram. Find the measure of FG.
4w + 4
E
F
-
3z +8
52- 14
H
G
2 w + 22
The measure of FG is

EFGH is a parallelogram. Find the measure of FG.4w + 4EF-3z +852- 14HG2 w + 22The measure of FG is

Answers

Answer:

41

Step-by-step explanation:

FG = EH ( being opposite sides of parallelogram)

3z + 8 = 5z - 14

5z - 3z = 8 + 14

2z = 22

z = 11

Now

FG = 3z + 8 = 3 *11 + 8 = 33 + 8 = 41

Hope it will help :)❤

for f(x)=3/8x-7, find f(-16)

Answers

The given function is

\(f(x)=\frac{3}{8}x-7\)

The expression f(-16) means we have to evaluate the function when x = -16.

\(\begin{gathered} f(-16)=\frac{3}{8}(-16)-7 \\ f(-16)=-3\cdot2-7=-6-7=-13 \end{gathered}\)Therefore, f(-16) is equal to -13.

Match each word or phrase with the definition hypothesis null alternative Drag each word into the appropriate place below in order to correctly complete each of the following sentences. A _____ is a statement regarding a characteristic of one or more populations. The _____ ______ is a statement of no change, no effect, or no difference. The _____ ______ is a statement we are trying to find evidence to support. Drag your answer(s) to the correct position

Answers

A hypothesis is a statement regarding a characteristic of one or more populations. The null hypothesis is a statement of no change, no effect, or no difference. The alternative hypothesis is a statement we are trying to find evidence to support.

Generally, the null hypothesis expresses that there is no change, no difference, no effect, and in another way, no relationship between the independent and dependent variables. Because we are hypothesizing that nothing is happening, then it is called the null hypothesis.

The null and alternative hypothesis are two conflicting claims which researchers weigh evidence for and against using a statistical test. Null hypothesis (H0) means there is no effect in the population. Meanwhile, alternative hypothesis (Ha or H1) means there is an effect in the population.

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what is 3x+3=6x-57 i need ur help

Answers

Answer:

x=20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation: Sorry the explination is long i got it of a website i use for my math tests.

Simplifying

3x + 3 = 6x + -57

Reorder the terms:

3 + 3x = 6x + -57

Reorder the terms:

3 + 3x = -57 + 6x

Solving

3 + 3x = -57 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

3 + 3x + -6x = -57 + 6x + -6x

Combine like terms: 3x + -6x = -3x

3 + -3x = -57 + 6x + -6x

Combine like terms: 6x + -6x = 0

3 + -3x = -57 + 0

3 + -3x = -57

Add '-3' to each side of the equation.

3 + -3 + -3x = -57 + -3

Combine like terms: 3 + -3 = 0

0 + -3x = -57 + -3

-3x = -57 + -3

Combine like terms: -57 + -3 = -60

-3x = -60

Divide each side by '-3'.

x = 20

Simplifying

x = 20

The box plots show the average wind speeds, in miles per hour, for two different islands.
Average Wind Speeds on Island A
2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities on Island A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities on Island B, the whiskers range from 1.5 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
Average Wind Speeds on Island B

Which explains, on a given day, which island is more likely to have a wind speed close to its median?
Island A because the median is closer to one end of the box in the box plot.
Island B because the median is closer to the center of the box in the box plot.
Island A because it has a smaller interquartile range.
Island B because it has a larger interquartile range.

Answers

Answer:

B

Step-by-step explanation:

I'm sorry if I'm wrong

Answer:

5

Step-by-step explanation:

meant b haha

Translate the following argument into symbolic form, and use Truth Tables to determine whether the argument is valid or invalid.
If the boss snaps at you and you make a mistake, then he’s irritable. He didn’t snap at you. So he’s not irritable.

Answers

The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

Let's assign symbols to represent the statements in the argument:

P: The boss snaps at you.

Q: You make a mistake.

R: The boss is irritable.

The argument can be symbolically represented as follows:

[(P ∧ Q) → R] ∧ ¬P → ¬R

To determine the validity of the argument, we can construct a truth table:

P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R

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

T | T | T |      T      |  F |  F |          T          |

T | T | F |      F      |  F |  T |          T          |

T | F | T |      T      |  F |  F |          T          |

T | F | F |      F      |  F |  T |          T          |

F | T | T |      T      |  T |  F |          F          |

F | T | F |      T      |  T |  T |          T          |

F | F | T |      T      |  T |  F |          F          |

F | F | F |      T      |  T |  T |          T          |

The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.

Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.

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3. Are these the hills teen 1 was trying to design? Remember, teen 1 wanted one layer

of three hills, another set of three hills using the same base equation, and one long,

low hill. Find any mistakes that teen 1 made in his design and in the reasoning he

presented when explaining the transformations of the equations. (3 points)

Answers

Function transformation involves changing the form of a function

The first mistake in teen 1's design is the x-interceptsThe second mistake in teen 1's design is the transformed function

The function that represents the three hills is given as:

\(f(x) = (x - 1)(x -3)(x -4)\)

The above function represents the base equation.

When the function is then transformed, we have:

\(g(x) =- (x - 1)(x -3)(x -4) + 3\)

The first mistake in teen 1's design is that, the function f(x) has 3 x-intercepts

For the function to have three peaks, then the function must have three different vertices

A function with three x intercepts will have three zeros.

However, these three zeros does not mean the function has three peaks i.e. three vertices

Also, the transformed function g(x) is simply a reflection of f(x) across the x-axis, and a vertical shift up by 3 units.

This also does not mean that the function has three peaks

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need help with this

need help with this

Answers

The answer is 3
-This is my work-

Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. 30% of adults will have an IQ score higher than what value?

Answers

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Crud I need helpzzz 142 divided by _____ = 0.142

Answers

142 divided by 1000 = 0.142
I think
Try the math
142 Divide by 1000 =0.142

12w+10=2(3w+35)
How do I solve this?

Answers

Answer:

w = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

12w + 10 = 2(3w + 35)

Step 2: Solve for w

Distribute 2:                              12w + 10 = 6w + 70Subtract 6w on both sides:      6w + 10 = 70Subtract 10 on both sides:       6w = 60Divide 6 on both sides:            w = 10

Step 3: Check

Plug in w to verify it's a solution.

Substitute:                    12(10) + 10 = 2(3(10) + 35)Multiply:                        120 + 10 = 2(30 + 35)Add:                              130 = 2(65)Multiply:                        130 = 130

Here we see that 130 does indeed equal 130.

∴ w = 10 is a solution of the equation.

Step-by-step explanation:

Solve this equation by isolating for w.

12w+10=2(3w+35)How do I solve this?

(1 point) in how many ways can 2 ice cream toppings be chosen from 12 available toppings? your answer is :

Answers

Answer:

Below

Step-by-step explanation:

12 C 2  = 12! / ( 10! 2!) = 66 ways

log4(x-3) + log4(x+3) =2

log4(x-3) + log4(x+3) =2

Answers

Answer:

x=5

Step-by-step explanation:

the answer is choice c

Let f= {(5,5),(8,-8),(-8,5)}. Find (a) f(5) and (b) f(-8).

Answers

The given function f(x) is

\(f(x)=\lbrace(5,5),(8,-8),(-8,5)\rbrace\)

We need to find

a) f(5)

It means finding the value of the y-coordinate in the ordered pair that has x-coordinate = 5

Look at the function

At x = 5, y = 5 (1st orderd pair), then

f(5) = 5

b) f(-8)

It means finding the value of the y-coordinate in the ordered pair that has x-coordinate = -8

Look at the function

At x = -8, y = 5, (last ordered pair), then

f(-8) = 5

Divide.

1.156÷106
whoever helps me first gets brainlest

Answers

Answer: 0.01090566037

Answer: The short answer to this is 0.0109

Other Questions
Select the correct text in the passage. Which quotation in the text foreshadows a romantic encounter? from The Squatter and the Don by Mara Ruiz de Burton The Squatter and the Don involves two families in San Diego in the 1870s. The Alamar family, headed by Don Mariano, has lived on a large ranch for decades. But since the Mexican-American War ended, settlers from the eastern United States have been occupying the Alamars land. In this excerpt, Clarence Darrell, the son of one such settler, runs into Seor Alamars son Don Victoriano. "Good morning," said Clarence, "I am glad to catch up with you, Don Victoriano. I have been wanting to speak to you. " Victoriano bowed, saying, "Will you go to my house?" "No, I'd rather not. I am not dressed to be seen by ladies. I would rather speak to you here. " "You are going to build a large house, Mr. Darrell? " said Victoriano, turning his horse so as to ride beside Clarence; "judging by the amount of lumber being hauled. " "Yes; rather. We are a large family, and require a good deal of room. But before we do any more work I want to speak with your father. I want to ask himask him as a favorand yet, as a business proposition"he hesitated; he was evidently embarrassed; but Victoriano, not guessing the drift of his words, remained waiting silently, offering no assistance. "Well," he continued, "I mean this: I don't like this fashion of taking people's lands, and I would like to pay to Seor Alamar for what has been located by us, but at the same time I do not wish my father to know that I have paid for the land, as I am sure he would take my action as a reproachas a disclaimer of his own action, and I don't wish to hurt his feelings, or seem to be disrespectful. " "I understand, and I think my father will be willing to sell the land. He is at home now. Let us go up to see him. " "Had you not better speak to him, and make an appointment for me to see him to-morrow, or some other time? I'd rather not risk being seen by the ladies in this blue flannel shirt and heavy boots. I. how does a machine generate light A dance team used 60 bottles of water during their practices last week. Each bottle holds 750 mL. How many liters of water did the dance team drink during their practices? Which substance(s) produced in one part of a plant affect(s) another part?a. herbicides b. enzymes c. oxygen and nitrogen d. hormonesThe early growth stage of a plant embryo is calleda. germination. b. dormancy. c. fertilization. d. pollination. The gametophytes of gymnosperms live inside reproductive structures calleda. cones. b. angiosperms. c. flowers. d. embryos.Which of the following statements is true about bryophytes?a. They have specialized tissues that conduct water. b. They are a group of plants made up ofalgae and mosses. c. They are not highly dependent on water. d. They draw up water by osmosis.The outer covering of a plant consists ofa. meristematic tissue. b. dermal tissue.c. ground tissue.d. vascular tissue We assume an index price of $975, a 3% effective 6-month interest rate, and premiums of $94.95 for the 1175strike 6-month call and $73.02 for the 1175-strike 6-month put. Suppose that you buy the S&R index, buy a 1175-strike put, and borrow $1154.34. (a) Compute the total payoff if the index price is $1150 at expiration. (b) Compute the total profit if the index price is $1175 at expiration. 50674136.0 round to the nearest hundreds Calculate the kinetic energy of a 4 kg object moving at 10 m/s. Which of the following points lies on the line defined by y = -3x 7?A. (2, -1) B.(-2, 1)C. (-2,-1)D. (1,8)E. (2, 1) Find the Value of X(please don't just give me a fake answer) What was Jefferson's experience with slavery as a child aHis parents taught him the terrible ways slave were treated bHe learned about the terrible lives of slaves from books and essays cHis family had slaves, but he made sure to not have any dHe was okay with slavery at first because he was born into it Please answer this question and read the directions Ill mark you the brainliest if you do answer it correctly thank you! Don't answer it if you don't know. Find the value of x and the measure of the missing angle labeled A: how many hydrogen ions must be secreted into the filtrate in order to reabsorb one bicarbonate? The collapse of the Bretton Woods led to the end of the Fixed Exchange Rate regime. Using the concept of the Impossible Trinity explain how the fixed exchange rate system was instrumental in the fall of the Bretton Woods system. Lila buys a clarinet priced at $748. If the sales tax is 8%, how much tax will Lila pay? Which one of the following is an allowable set of quantum numbers for an electron? 1,1-1, ml = 1, ms = +1/2 n = 2,1-1, ml = -2, ms = +1/2 n = 3,1=2, ml = -1, ms=0 n = 4,1 - 4, ml - 3, ms = +1/2 D = 2,1 - 1, ml - -1, ms - -1/2 when caring for a client with diabetes, the nurse knows that the client is experiencing a breakdown of fatty acids for fuel because of which serum laboratory finding? The project requires an initial investment of P300,000 on equipment. The project will generate sales amounting to P150,000 for year 1 and will grow by 20% each year for years 2-4. Contribution margin is 70% of sales. Working capital is anticipated to be variable at 15% of revenues; the working capital investment must be made at the beginning of each period, and will be recovered in full at the end of year 4. Equipment will be sold at its book value at the end of year 4. The tax rate is 40%. What is the net cash flow to the firm in year 4? What tone does the author create by referring to himself as "a butterflychaser, googly eyed bleeding heart, and wild conservative?One should admit at the outset to a certain bias. Indeed Iam a "butterfly chaser, googly eyed bleeding heart and wildconservative." I take a dim view of dams; I find it hard tolearn to love cement; I am poorly impressed by concreteaggregates and statistics in the cubic tons. But in thisweakness I am not alone, for I belong to that ever-growingnumber of Americans, probably a good majority now, whohave become aware that a fully industrialized, thoroughlyurbanized, elegantly computerized social system is notsuitable for human habitation. Great for machines, yes. Butunfit for people.O A. An angry toneOB. A peaceful toneC. A mocking toneOD. A mournful tone Given the function g(x) = x2 + 10x + 19, determine the average rate of change ofthe function over the interval -9 < x < 1.