I NEEDD HELPPP PLEASEEEE

I NEEDD HELPPP PLEASEEEE

Answers

Answer 1

Answer:

a) x = -10. b) x = 7

Step-by-step explanation:

a)

2(x + 3) = x -4

multiply out the bracket:

2(x + 3) = 2x + 6.

now we have 2x + 6 = x - 4.

subtract x from both sides:

2x - x + 6 = -4

x + 6 = -4

subtract 6 from both sides:

x = -10.

b)

4(5x - 2) = 2(9x + 3)

multiply out both brackets:

20x - 8 = 18x + 6

subtract 18x from both sides:

20x - 18x - 8 = 6

2x - 8 = 6

add 8 to both sides:

2x = 14

x = 7


Related Questions

Juan bought a sweater for $15.95 and two shirts for $9.00 each. how much did juan spend on clothes?

Answers

Answer:

Step-by-step explanation:

Well first you have:

$15.95 for one sweater
$9.00 each for two shirts

You would double the amount $9.00 which would be:

9 + 9 = 18 or Multiply 9 x 2 = 18

So this would total to 15 + 18 = $33

Brainliest for answer
A quadratic equation is graphed to the left. Which of the following equations could be paired with the graphed equation to create a system of equations whose solution set is comprised of the points (2,-4)and (-4,2)?

Answers

The linear function that goes through the points (2,-4) and (-4,2) is:

y = -x + 2.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

A linear function going through the points (2,-4) and (-4,2) would intersect the parabola at these points, hence these points would be the solution for the system of equations.

The slope of the line is:

m = (-4 - 2)/(2 - (-4)) = -1.

The line goes through point (2,-4), that is, when x = 2, y = -4, which we use to find the y-intercept b.

y = -x + b

-4 = -2 + b

b = -2.

Hence the equation is:

y = -x + 2.

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given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]

Answers

The value of f[ -4 ] and g°f[-2] are [tex]\frac{14}{3}[/tex] and 13 respectively.

What is the value of f[-4] and g°f[-2]?

Given the function;

[tex]f(x) = \frac{3x-2}{x+1}[/tex][tex]g(x)=x+5[/tex]f[ -4 ] = ?g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

[tex]f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}[/tex]

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

[tex]g(\frac{3x-2}{x+1}) = (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) = \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) = 13[/tex]

Therefore, the value of f[ -4 ] and g°f[-2] are [tex]\frac{14}{3}[/tex] and 13 respectively.

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Mr. lee walks into the courtyard after school and wants to know the height of the tree. he measures an angle of 47* between a line of sight to the top of the tree and the ground and he is 22 feet away from the tree. how tall is the tree? *

Answers

The tree is 23.54 feet tall.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean.

According to the question,

Height of tree= 22*tan [tex]47^{o}[/tex]

                       = 22* 1.07

                       = 23.54 ft.

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At birth, one puppy weighs 15/16 pounds. A second puppy weighs 1 and 1/8 pounds. How much more did the second puppy weigh?

Answers

Answer:

3/16 pounds more.

Step-by-step explanation:

It is 1 1/8 - 15/16

= 9/8 - 15/16

= 18/16 - 15/16

=  3/16.

For the graph x = 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your answer with two or more sentences.

Answers

The slope of the parallel line is undefined and the slope of the perpendicular line is 0

How to determine the slope?

The equation is given as:

x = 1

The above do not have any y value.

This means that the slope of the line is undefined

i.e.

m = undefined

The slope of the parallel line is:

Slope = m

This gives

Slope = undefined

The slope of the perpendicular line is:

Slope =-1/m

This gives

Slope = -1/undefined

Slope = 0

Hence, the slope of the parallel line is undefined and the slope of the perpendicular line is 0

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Explain or show how to determine if the following coordinates are a solution to the following system of linear inequalities. y<4x+8 y>x-6

Answers

The inequalities y < 4x + 8 and y > x - 6, the solution to the inequalities is the darker region shown in the graph.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequalities y < 4x + 8 and y > x - 6, the solution to the inequalities is the darker region shown in the graph.

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Which of the following parabolas has its vertex the furthest away from the x-axis
Oy
x² - 1
y = 3x² + 4
Oy
=
Y =
1/2x²
Oy = x² - 10
Question 12 (1 point)

Answers

Answer:

y=x^2-10

Step-by-step explanation:

An entomologist can model the number of mosquitos in a forest as a function of
rainfall. In a similar way, they can also model the number of bats in the forest.
The function f(x) = 5x
22
gives the number of mosquitos in the forest (in
millions), and the function g(x) = 3a 0.5a² gives the number of bats (in millions
-
In both equations z represents rainfall (in centimeters). Here are the graphs of f and
G

Answers

The interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2

How to interpret the points of intersection?

The graph of the two functions alongside their equations are the given parameters of this question

The functions are given as:

f(x) = 5x - x^2

g(x) = 3x - 0.5x^2

When the graphs of two curves or lines intersect on a coordinate plane, it means that the point of intersection represents where the graphs have equal value

In this case, it represents

f(x) = g(x)

Substitute the known values in the above equation

5x - x^2 = 3x - 0.5x^2

So, the interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2

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A right-triangle has the hypotenuse length of 5 units long. One of the other sides of the triangle is 3 units. What is the length of the remaining side

Answers

Answer:

4

Step-by-step explanation:

[tex] {3}^{2} + {x}^{2} = {5}^{2} \\ \\ 9 + {x}^{2} = 25 \\ \\ {x}^{2} = 16 \\ \\ x = 4[/tex]

How do I solve this problem 34=p+19

Answers

Hello,

[tex]34 = p + 19[/tex]

[tex]34 - 19 = p + 19 - 19[/tex]

[tex]15 = p[/tex]

[tex]p = 15[/tex]

according to the graph, what is the value of the constant in the equation below?

Answers

Answer: B

Step-by-step explanation:

The product of height and width is constant.

If we take the point (0.5,1), we get the product to be 0.5.

Please help me i don’t understand

Answers

The graph of the inverse of the function is shown in the image attached below.

How to graph the inverse of a function

In this question we must apply the following transformation rule to the three points to determine the points of the inverse function:

(x, y) → (y, x)

Now we proceed to find the points:

(- 7, 3) → (3, - 7)

(-3, 0) → (0, -3)

(-2, -2) → (-2, -2)

Lastly, we proceed to construct the graph of the inverse of the function.  

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It takes you two and a half hours to drive 175 miles. how fast were you driving? (mph)

Answers

If one travels 175 miles in 2hour 30 mins then his speed is 70 mph .

Calculation of the speed

Distance travels= 175 miles

time is taken to cover 175 miles = 2.5 hours

We have to find out the speed in mph.

We know that,

Distance = speed x time

⇒speed = distance / time

Putting the value of distance and time, we get:

speed = 175 / 2.5 = 70 mph

Hence the final answer is 70 mph.

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Find the fifth term of the sequence.

Answers

a) Substituting in n = 2,

[tex]\frac{3(2)^{2}}{2}=6[/tex]

b) Substituting in n = 5,

[tex]\frac{3(5)^{2}}{2}=\frac{75}{2}[/tex]

c) Setting the nth term to be greater than 50,

[tex]\frac{3n^{2}}{2}>50 \\ \\ n^{2} >\frac{100}{3} \\ \\ n>\frac{10}{\sqrt{3}} \\ \\ \lceil n \rceil = 6[/tex]

Triangle X Y Z is shown. Angle X Z Y is 90 degrees and angle X Y Z is 41 degrees. The length of Z X is 22.

Which equation could be used to solve for the length of XY?
XY = (22)sin(41°)
XY = (22)cos(41°)
XY = StartFraction 22 Over cosine (41 degrees) EndFraction
XY = StartFraction 22 Over sine (41 degrees) EndFraction

Answers

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Sine rule is used to show the relationship between the sides and angles of a trinagles.

Using sine rule on triangle XYZ:

XY / sin(Z) = XZ / sin(Y)

XY / sin(90) = 22/sin(41)

XY = 22/sin(41)

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

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Answer:

D

Step-by-step explanation:

Which function could be a stretch of the exponential decay function shown on the graph?

f(x) = 2(6)x
f(x) = One-half(6)x
f(x) = 2(one-sixth) Superscript x
f(x) = One-half (one-sixth) Superscript x

Answers

The function that could be a stretch of the exponential decay function shown on the graph is B. f(x) = One-half(6)x.

How to illustrate the function?

From the information given, it can be seen that function A is a monotonically increasing function.

Also, it can be seen that C and D don't pass through (0, 1).

Therefore, the function could be a stretch of the exponential decay function shown on the graph is B.

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Answer:

b

Step-by-step explanation:

How many different 4 digit numbers can be formed using only digits 1,2,3 and 4 given that they contain each of these digits as many times as you want?

Answers

The number of different 4 digit numbers that can be formed using only digits 1,2,3 and 4 if they are repeated is; 256 possible numbers

How to find the probability combination?

Since the numbers can be used as many times as we want, then it means they can be repeated.

Thus, if we are looking at the number of 4 digit numbers we can create using the numbers 1, 2, 3, and 4, we can calculate that the following way:

For each digit (thousands, hundreds, tens, ones), we have 4 possible choices of numbers. And so we can create;

4 × 4 × 4 × 4 = 256 numbers

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Find the indicated term of the geometric sequence.
10th term of 0.6, 0.06, 0.006,...

Answers

Answer:

0.0000000006

Step-by-step explanation:

0.6 * (0.1)^9 = 0.0000000006

Multiply the following numbers. Reduce the answer to lowest terms.

Answers

Answer:

B 4 1/3

Step-by-step explanation:

#1) a normal distribution has a mean of 101 and a standard deviation of 4.2. what is the z-score of 105?

Answers

Step-by-step explanation:

z = (specific score - mean) / standard deviation

in our case

z = (105 - 101)/4.2 = 4/4.2 = 0.952380952... ≈ 0.95

as z-tables usually round the z-scores to hundredths.

The z-score of the normal distribution is 0.95.

What is normal distribution?

A probability distribution which is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution.

It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution shows as a "bell curve" on a graph.

Z-score: A Z-score is just a metric that quantifies how closely a value relates to a mean of a set of values. Standard deviations from of the mean are used to measure Z-score.

A Z-score of zero means the data point is actually score is the same as the mean score.

The formula for z-score is-

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

Z = standard score

x  is observed value = 105

[tex]\mu[/tex] is mean of the sample 101.

[tex]\sigma[/tex] is standard deviation of the sample 4.2.

Substitute all the values in the z-score formula;

z = ( 105 - 101)/4.2

z = 0.9523..

z  = 0.95

Therefore, the z-score the given normal distribution is  0.95.

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In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of the trip.
The per kilometre rate is $12/km. You decide to go on a 5 km trip, and it costs you $70.
a) What is the fixed rental cost? Show your work.
b) Determine the equation relating the cost, C, in dollars, and the distance, d, in km.
d) What is the cost of an 18 km trip?
e) What is the distance travelled if the total cost is $250?

PLEASEEEEEEEE

Answers

Using a linear function, we have that:

a) The fixed cost is of $10.

b) The equation is: C = 10 + 12d.

c) The cost of an 18 km trip is $226.

d) The distance traveled is of 20 km.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:

C(d) = 12d + b

70 = 60 + b

b = 10.

Hence the equation is:

C(d) = 12d + 10.

For a trip of 18 km, d = 18, hence the cost is:

C(12) = 12 x 18 + 10 = $226.

When the cost is of $250, the distance is found as follows:

250 = 12d + 10

12d = 240

d = 240/12

d = 20 km.

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In a sample of 16 employees randomly selected at a company, the average age is 25 years and the standard deviation is 2 years. We want to test if the average age of all employees is greater than 24. If ages are normally distributed in the population, using a significance level of 0.05, we can claim that the population mean is: Group of answer choices

Answers

If ages are normally distributed then using a significance level of 0.05 , we can claim that the population mean is greater than 24.

Given sample mean of 25 years , sample size of 16 ,standard deviation of 2 years.

We have to find whether the population average is greater than 24.

We have to use t test because n is less than 30. It is right tailed.

We have to first form Hypothesis.

[tex]H_{0}[/tex]:μ>24,

[tex]H_{1}[/tex]:μ<24.

t=X-μ/S/[tex]\sqrt{n}[/tex]

t critical at 5% significance level and degree of freedom=15    (16-1)=1.7531

t=24-25/2/[tex]\sqrt{16}[/tex]

=-1/0.5

=-2

Because 1.7531 is greater than -2 so we will accept the null hypothesis.

Hence we can say that the average of population is greater than 24.

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The functions f(x) and g(x) are shown on the graph.
f(x) = log(x)
g(x)
6
Using fix), what is the equation that represents gix)?
A) g(x) = log5(x) - 3

B) g(x) = log5(x) + 3

C) g(x) = log5(x-3)

D) g(x) = log5(x+3)

Answers

Using translation concepts, the equation of g(x) is:

D) [tex]\log_5{x + 3}[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, g(x) is a shift left of 3 units of [tex]f(x) = \log_5{x}[/tex], hence:

[tex]g(x) = f(x + 3) = \log_5{x + 3}[/tex], which means that option D is correct.

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Raj measures the height of 70 plants calculate the estimate of the mean height of the plants

Answers

The mean height of plants is 44.07cm.

Given that a raj measures the height of 70 plants which is shown in the table in the image attached below.

The mean is defined as the mean value equal to the ratio of the total number of a given set of values ​​to the total number of values ​​contained in that set.

Firstly, we will find the midpoint of the height by using the formula

(upper limit +lower limit)/2

When h is 10<h<20 then the midpoint is

x₁=(10+20)/2

x₁=15

When h is 20<h<0 then the midpoint is

x₂=(20+40)/2

x₂=30

When h is 40<h<50 then the midpoint is

x₃(40+50)/2

x₃=45

When h is 50<h<60 then the midpoint is

x₄=(50+60)/2

x₄=55

When h is 60<h<90 then the midpoint is

x₅=(60+90)/2

x₅=75

Now, we will find the mean height by using the formula

x=(f₁x₁+f₂x₂+f₃x₃+f₄x₄+f₅x₅)/(Σfi)

Here, f₁=7,f₂=15,f₃=27,f₄=13,f₅=8

and Σfi=7+15+27+12+8=70

Substitute these values in the formula, we get

x=(7×15+15×30+27×45+12×55+8×75)/70

x=(105+450+1215+715+600)/70

x=(3085)/70

x=44.07

Hence,  the estimate of the mean height of the plants when raj measures the height of 70 plants is 44.07cm.

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mAFD=90 mAFB=31 Find mCFE

Answers

The value of angle CFE in the diagram attached is 51 degrees.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

∠AFB = ∠CFD; ∠BFC = ∠DFE

Hence:

∠AFC = ∠CFE

∠AFD = ∠AFC + ∠CFD = ∠AFC + ∠AFB

90 = ∠AFC + 31

∠AFC = 51° = ∠CFE

The value of angle CFE in the diagram attached is 51 degrees.

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URGENT, PLEASE ANSWER THESE QUESTIONS

Answers

Can send helicopter 3 but not helicopter 1 and 2.

What is distance formula?

Consider two points (x1, y1) and (x2, y2) in the two-dimension, then the distance between these two points is given by,

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

We will solve given problem as shown below:

Let fire have coordinate F (-3,-5)

Let Helicopter 1 have coordinate H1(1,4)

Let Helicopter 2 have coordinate H2(-2,3)

Let Helicopter 1 have coordinate H3(4, -2)

A. Distance between helicopter 1 and fire

[tex]=\sqrt{(1-(-3))^2+(4-(-5))^2}[/tex]

[tex]=\sqrt{16+81}[/tex]

[tex]=\sqrt{97}=9.8[/tex]

No, cannot send helicopter 1

B. Distance between helicopter 2 and fire

[tex]=\sqrt{(-3-(-2))^2+(-5-3)^2}[/tex]

[tex]=\sqrt{1+64}[/tex]

[tex]=\sqrt{65}=8.06[/tex]

No, cannot send helicopter 2

Distance between helicopter 3 and fire

[tex]=\sqrt{(4-(-3))^2+(-2-(-5))^2}[/tex]

[tex]=\sqrt{49+9}[/tex]

[tex]=\sqrt{58}=7.6[/tex]

Yes, can send helicopter 3

Hence, can send helicopter 3 but not helicopter 1 and 2.

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Which inequality can be used to explain why these three segments cannot be used to construct a triangle? ac ab > cb ac cb < ab ac cb > ab ac ab < cb

Answers

The response option that demonstrates why the three segments cannot be combined to form a triangle is AC + CB< AB.

What is triangle inequalities?

According to the triangle inequality, the length of any two sides of a triangle added together must be longer than the length of the third side. Since a straight line is the shortest distance between two places, this conclusion follows. If the triangle isn't degenerate, the inequality is strict (meaning it has a non-zero area).

Which inequality explains why a triangle cannot be made from the three segments?

Since the length of any two sides of a triangle added together is longer than the length of the third side, it follows from the triangle inequalities theorem that this is the case.

As a result, the necessary inequality is AC + CB AB because the sum of sides AC + CB is less than AB.

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I understand that question you are looking for is:

Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

A. AC + AB > CB

B. AC + CB < AB

C. AC + CB > AB

D. AC + AB < CB

How many quarters are there in 7 1/2?​

Answers

Answer: 30.

Step-by-step explanation:

[tex]7\frac{1}{2} =\frac{7*2+1}{2} \\\frac{14+1}{2}=\frac{15}{2}\\ \frac{15*2}{2*2}=\frac{30}{4} \\ \frac{30}{4}=30*\frac{1}{4} .[/tex]

There are total 30 quarters in [tex]7\frac{1}{2}[/tex].

What is one quarter?

A quarter is one out of four equal parts. One quarter is the same as the fraction ¼.

What is mixed fraction?

A fraction represented with its quotient and remainder is a mixed fraction.

How to convert a mixed fraction into an improper fraction?

To change a mixed fraction to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

According to the given question.

We have a mixed fraction [tex]7\frac{1}{2}[/tex].

So, the improper fraction of the given mixed fraction is given by

[tex]7 \frac{1}{2} = \frac{15}{2}[/tex]

To find the number of quarters in the given mixed fraction, we will divide [tex]7\frac{1}{2}[/tex]  by  [tex]\frac{1}{4}[/tex].

Therefore,

[tex]\frac{7\frac{1}{2} }{\frac{1}{4} }[/tex]

= [tex]\frac{\frac{15}{2} }{\frac{1}{4} }[/tex]

[tex]= \frac{15\times 4}{2}[/tex]

[tex]= 15\times 2[/tex]

[tex]= 30[/tex]

Hence, there are total 30 quarters in [tex]7\frac{1}{2}[/tex].

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Can someone help? ASAP

Answers

Answer:

11.  [tex]\frac{\sqrt{2} }{2}[/tex]

12. [tex]\sqrt{3}[/tex]

13. [tex]\frac{\sqrt{3} }{2}[/tex]

14. [tex]\frac{\sqrt{3} }{3}[/tex]

15. [tex]\sqrt{2}[/tex]

16. [tex]\frac{2\sqrt{3} }{3}[/tex]  

Step-by-step explanation:

Hope this helps

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true/false. amazon sellers sometimes provide a link to documentation An AC circuit has a capacitive reactance of 30 ohms in addition to an inductive reactance of 40 ohms connected in series. What is the total reactance of the circuit Do you agree that business conducted entirely within a state falls under the Commerce Clause if it affects a similar interstate business in some way? Why or why not? Which sentence uses an appropriate tone and choice of words for a letter written to the president of the school board? 1. Use the procedures developed in this chapter to find the general solution of the differential equation. (Let x be the independent variable.)a.) y'' 2y' 4y = 0b.) y''' + 14y'' + 49y' = 0c.) 3y''' + 16y'' + 26y' + 7y = 0 When sheng converses with his colleagues in the multinational company that he works for, he finds that he is the only one who believes in and talks about things such as reincarnation and the spiritual progression of each person's soul. sheng's religion is most likely:__________ a) confucianism. b) protestantism. c) hinduism. d) judaism. e) islam. Use the distributive property to simplify the expression. 8(3x 4) 11x 12 24x 4 24x 32 96x. In mitosis chromosomes lineup in the middle of the cell, while Homo lodges chromosomes pair lines up in the middle of a cell and meiosis metaphase 1. True or false Marcus deposited his paycheck in the amount of $625. 84. Hell use the check register to record his transaction. What will be his new balance? A check register has a balance of 640 dollars and 31 cents. $. The specific tension of muscle is about 30 N/cm^2. The cross-sectional areas of the prime movers for elbow flexion and extension have been measured as follows:Muscles Cross-sectional areaBiceps brachii 3.6 cm2Brachialis 6.0 cm2Brachioradialis 1.5 cm2Triceps brachii 17.8 cm2A. Determine the maximum force that the elbow flexors (as a group of muscles) can exert.B. Consider the elbow flexors to act together with a moment arm of 4 cm, and the triceps with a moment arm of 2.5 cm. If all of these muscles were activated fully, would the elbow flex or extend? Palmitic acid (C16H32O2) is a dietary fat found in beef and butter. The caloric content of palmitic acid is typical of fats in general.A) Write a balanced equation for the complete combustion of solid palmitic acid. Use H2O(l) in the balanced chemical equation because the metabolism of these compounds produces liquid water.B) Calculate the standard enthalpy of combustion. The standard enthalpy of formation of palmitic acid - 208kJ/mol.C) What is the caloric content of palmitic acid in Cal/g?D) Write a balanced equation for the complete combustion of table sugar (sucrose, C12H22O11). Use H2O(l) in the balanced chemical equation because the metabolism of these compounds produces liquid water.E) Calculate the standard enthalpy of combustion. The standard enthalpy of formation of sucrose is - 2226.1kJ/mol.F) What is the caloric content of sucrose in Cal/g? Construct orthogonal polynomials of degrees 0, 1, and 2 on the interval (0,1) with respect to the weight function. (a) w(1) = log1 /x(b) w(x) = 1/x Explain the drivers of a Supply Chain Network Redesign. What are the steps in the Supply Chain Network Design Process?Define omnichannel. List the 3 most important aspects.List and explain the different types of customer fulfillment models.Short answer is Fine A chocolatier, Alain, in Belgium conducted extensive market research and focus groups, to understand the perfect chocolate for a distinct group of consumers. The perfect piece of chocolate would have a target weight of 60 grams. The voice of the specific consumers prefers a specification of +/- 2 grams.Alain has targeted a selling price of 15 Euros a piece. A box of dozen would be 150 Euros, gift wrapped for special occasions. Alain searched for a depositor that would give the most accurate fill weight, with a tight tolerance, a machine that would not only make elegant shapes of chocolate with precise caramel filling and clean impression.A confectionery machinery maker, Mod dArt has several models.Model A costs $5,000 and could produce fill weights at average of 60.50 grams, and standard deviation of 1.5 grams.Model B costs $15,000, but with a standard deviation of 0.95 grams, with 59.95 grams average fill weight.Model C runs $25,000; this deluxe model has standard deviation of 0.60 grams, average fill weight of 60.15 grams.What is the voice of the consumer (difference from Upper to Lower Specification Limits), from Alains research and focus groups [ Select ] ["3.75", "4.1", "3.9", "4"]What is Cp Model A [ Select ] ["0.42", "0.45", "0.43", "0.44"] , and Cpk of Model A 0.33Cp of Model B [ Select ] ["0.65", "0.75", "0.60", "0.70"] , and Cpk of Model B [ Select ] ["0.71", "0.78", "0.75", "0.68"]Cp of Model C 1.11 , and Cpk of Model C [ Select ] ["1.08", "1.05", "1.03", "1.11"]Which Model should Alain be selecting [ Select ] ["Cannot answer", "model b", "model a", "model c"] assume the economy is initially located on ad0 and as0. an increase in the exchange rate and a decrease in worker productivity would result in price ________ and real domestic output ________. Let |u| = 4 at an angle of 210 and |v| = 9 at an angle of 315, and w = u v. What is the magnitude and direction angle of w? |w| = 5. 5; = 156. 1 |w| = 5. 5; = 203. 9 |w| = 10. 8; = 156. 1 |w| = 10. 8; = 203. 9. Suppose that X and Y are independent, integer-valued random variables. Prove the following convolution formula: PX+Y(n) = px(k)py(n k). k: integer (HINT: Using the law of total probability, we may write Px+y(n) = P{X + Y = n | X = k}P{X = k}. k: integer Now, simplify the right-hand side using the independence of X and Y.) a.) Say whether the following statement is true or false: For any single tape Turing machine M, there is a single tape Turing machine M' such that L(M) = L(M') and for all inputs x, if M halts on x, then M' halts on x, with x written on the tape when it is nished (and nothing else). Defend your answer. consider the function defined on the interval [2,2] as follows, ()=52,52,[2,0),[0,2]. Which excerpt from Infinite Jest best supports the inference that Hal is extremely intelligent?