Answer quick

The diagram shows a quadrilateral ABCD.
AE is parallel to BC.
EF is the angle bisector of angle AED.

Answer Quick The Diagram Shows A Quadrilateral ABCD.AE Is Parallel To BC.EF Is The Angle Bisector Of

Answers

Answer 1

Answer:

y = 25

Step-by-step explanation:

Since AE and BC are parallel, then

∠AED = ∠BCE = 110° ( corresponding angles )

Since EF is the angle bisector of ∠AED, then

∠AEF = ∠FED = 55°

∠AFE and ∠DFE form a straight angle, thus

∠AFE = 180° - 80° = 100°

The sum of the angles in ΔAEF = 180°, thus

y = 180 - (55 + 100) = 180 - 155 = 25

Answer 2

the value of the angle EAF will be 15 degrees.

What are complementary angles?

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Given a figure:

The diagram shows a quadrilateral ABCD.

AE is parallel to BC.

EF is the angle bisector of angle AED

Since ∠AFE and ∠EFD are supplementary angles.

And ∠EFD = 80 degrees

Thus,

∠AFE +∠EFD = 180

∠AFE = 100

Since AE is parallel to BC.

∠BCE and ∠AED will be the same

Thus, ∠AED = 110°

Since EF is the angle bisector of angle AED.

∠AEF will be 55°

So in ΔAEF

∠AED = 110°

∠AEF = 55°

From the property of the triangle

The sum of All angles is 180°.

Thus

∠A + ∠E + F = 180°

y + 110 +55 = 180

y = 15

therefore, the value of ∠EAF will be 15 degrees.

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Related Questions

1/5 x 6/7 ?
A. 6/12
B.7/30
C.6/35
D.7/35

Answers

In order to get the answer to this question you must multiply the numerators then multiply the denominators and reduce if needed.

[tex]\frac{1}{5} \times\frac{6}{7}[/tex]

[tex]1\times6=6[/tex]

[tex]5\times7=35[/tex]

[tex]=\frac{6}{35}[/tex]

Therefore your answer is option C "6/35."

Hope this helps.

the line of the line below is -4 use the coordinates of the labeled point to find a point slope equation of the line(4,-9)

a. y - 9 = -4(x + 4)

b. y + 9 = 4(x - 4)

c. y + 9 = -4(x - 4)

d. y - 9 = 4(x + 4)

Answers

Answer:

c. y + 9 = -4(x - 4)

Step-by-step explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful.

I am joyous to assist you anytime.

Simon used these steps to solve an equation:

Step 1: -6(x + 7) = 2(x − 11)

Step 2: -6x − 42 = 2x − 22

Step 3: -8x − 42 = -22

Step 4: -8x = 20

Which property did he use to get from step 3 to step 4?

A. addition property of equality
B. distributive property
C. subtraction property of equality
D. transitive property

Answers

A. Addition Property of Equality. The property that states that if you add the same number to both sides of an equation, the sides remain equal. Which as we see the equation still remains equal.

To go through Step 3 to Step 4 he used the addition property of equality. Option A is correct.

Given that,
Simion used steps to solve the equation,
To determine which property did he use to get from step 3 to step 4.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Step 1: -6(x + 7) = 2(x − 11)

Distributive property

Step 2: -6x − 42 = 2x − 22

Addition property of equality
Adding 2x on both side

Step 3: -8x − 42 = -22

Addition property of equality
Adding 42 on both sides

Step 4: -8x = 20


Thus, to go through Step 3 to Step 4 he used the addition property of equality. Option A is correct.

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Choose all the statements that are true about this sequence.
60, 66, 72, 78

The value of the first term is 1.

This is an arithmetic sequence.

The value of the third term is 72.

The sequence starts at 60 and adds 4 repeatedly.

The sequence starts at 66 and adds 6 repeatedly
There are four terms in this sequence.

The sequence starts at 60 and adds 6 repeatedly.

Answers

This is an arithmetic sequence

The value of the 3rd term is 72

There are 4 terms in this sequence

The sequence starts at 60 and adds 6 repeatedly

Explain how you could write the mixed number 45 3/8 in
scientific notation.

Answers

Answer:

[tex]4.5375*10^1[/tex]

Step-by-step explanation:

we know that

[tex]45\frac{3}{8}=45+\frac{3}{8}=45+0.375=45.375[/tex]

Convert decimal number in scientific notation

A number expressed in  scientific notation   has the form

[tex]a*10^{n}[/tex]

where

[tex]1\leq a < 10[/tex]

n is a integer

Expressing 45.375 in this form means writing the number as a value between 1 and 10

so

For a=4.5375,n=1

[tex]45.375=4.5375*10^1[/tex]

Final answer:

The mixed number 45 3/8 can be expressed in scientific notation as 4.5375 *[tex]10^2[/tex] by first converting it to an improper fraction, then to a decimal, and finally moving the decimal point two places to the left.

Explanation:

To write the mixed number 45 3/8 in scientific notation, let's first convert it into an improper fraction and then into a decimal. The mixed number 45 3/8 is equivalent to (45 * 8 + 3) / 8, which simplifies to 363/8 or 45.375 as a decimal.

Now, to express this in scientific notation, we move the decimal point two places to the left so that the number falls between 1 and 10. As a result, we get 4.5375. Since we moved the decimal two places to the right, we multiplied by 10 to the power of 2([tex]10^2[/tex])

Finally, 45 3/8 in scientific notation is 4.5375 *( [tex]10^2[/tex] ).

3. What is the name of a symbol that is used to
represent a quantity that can change?

Answers

Answer:

Variable

Step-by-step explanation:

A Variable is a letter or symbol used to represent a quantity that can change.

The symbol used to represent a quantity that can change is called a variable.

We have,

The symbol that is commonly used to represent a quantity that can change is called a variable.

In mathematics and algebraic equations, variables are often represented by letters such as x, y, or z.

Variables are placeholders for unknown or changing values that can be assigned different numerical or algebraic values during calculations or problem-solving.

They allow for the generalization and manipulation of mathematical expressions and equations.

Thus,

The symbol used to represent a quantity that can change is called a variable.

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Steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden. Which diagram shows a way i
which he can cut the wood to create three pieces that can form a triangle?

Answers

Answer:

The correct answer is 3ft | 4ft | 4ft

Step-by-step explanation:

Got it correct on edge

The dimensions of the lumber that can be used to build the triangular garden are 3ft, 4 ft and 4ft.

What are the pieces that can be used to build the triangular garden?

A triangle is a three-sided polygon with three edges and three vertices. The sum of angles in a triangle is 180 degrees

In order to determine the pieces that can be used to build the triangular garden, the sum of the two sides must be greater than the length of the third side

2 + 2 < 7

1 + 4 < 6

3 + 2 < 6

3 + 4 > 4

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X^2- 4y² = 9
3x + 4y = 7

Answers

Answer:

[3⅖, -⅘], [5, -2]

Step-by-step explanation:

I could not do any more, but I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

20 POINTSSS
Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one
dealer she would pay $2,350 down and $150 each month. At another dealer, she would pay $2,950 down
and $125 each month. After how many months would the total amount paid be the same for both
dealers? What would that amount be?
After
months Kenya will have paid $
for the bike at either dealer.

Answers

Answer:

24 Months; $5950

Step-by-step explanation:

Yes I calculated it and it’s 24 months $5950

Find n 5|6n+15|+2=-43

Answers

Answer:

No solution

Step-by-step explanation:

[tex]5|6n+15|+2=-43\qquad\text{subtract 2 from both sides}\\\\5|6n+15|+2-2=-43-2\\\\5|6n+15|=-45\qquad\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup^1|6n+15|}{5\!\!\!\!\diagup_1}=\dfrac{-45\!\!\!\!\!\diagup^9}{5\!\!\!\!\diagup_1}\\\\|6n+15|=-9\qquad\bold{FALSE}\to\text{no solution}\\\\\text{because}\ |a|\geq0\ \text{for any real value of}\ a.[/tex]

15-(0.7 x3) please help meeeeee

Answers

Answer:

129/10 or 12.9

Step-by-step explanation:

Multiply 0.7 by 3 and subtract that answer by 15

Answer:

12.9 dat was easy

What is the answer to 10h - 4h

Answers

Answer:

Step-by-step explanation:6 hours because 10-4=6

Marcie is playing a board game with I friend. She needs 20 points to win.she currently has -10. She want to know the difference between the number of points she needs.


A. Write a subtract problem to represent the situation. Then write the subtraction problem as an addition problem.


B. Model the addition problem on the number line.








C.what is the difference between the number of points she needs to win and the number point she has now.

Answers

A. 20 - (- 10) = 20 + 10 = 30 points.

B. Illustrated on the diagram.

C. The difference between the number of points she needs to win and the number of point she has now is 30 points.

What is a number line?

A number line is a horizontal line where we can represent any real number.

The origin of the number line is represented with zero and left to it are all negative numbers and right to it is all positive numbers.

Given, she has  - 10 points, and to win she needs 20 points.

∴ She needs 20 - (- 10) = 20 + 10 = 30 points.

Modeling of this situation is represented by the diagram given.

The difference between the number of points she needs to win and the number of point she has now is 30 points.

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This answer provides a step-by-step explanation of how to solve a subtraction and addition problem in the context of a board game scenario.

A. Subtract problem: Marcie needs 20 points to win, she has -10 points. The subtraction problem is 20 - (-10). This can be written as an addition problem: 20 + 10.

B. Model on the number line: Mark 20 as the target number on the number line and then move 10 units to the right to represent addition.

C. The difference: The difference between the number of points Marcie needs to win and what she has now is 30 points.

For each of the hypothetical data sets, determine whether a bar graph or a pie chart would be an appropriate way to display the data. In some cases, both types of graphs may be appropriate.

the percent of individuals with each of the following natural eye colors:
brown, blue, green, hazel, and other

the population density of each of the 50 states in the United States

the number of college students who play basketball, baseball, or soccer

the proportion of traditional public schools in a region compared to
the proportion of charter and private K–12 schools in that region.

choices: Bar graph Pie chart

Answers

The final answers of four different parts of the question can be concluded in the following bulletin points.

Both the charts can be used to represent the above condition but the better way to represent it is Pie chart.Bar Graph is the better way to represent the above scenario, because the higher data entry may result in a very huge pie chart to understand it properly.The pie chart is the better way to represent the above situation.The pie chart is the better way to represent the above situation.

1). The percent of individuals with each of the following natural eye colors:

brown, blue, green, hazel, and others.

Both the charts can be used to represent the above condition but the better way to represent it is Pie chart.

2). The population density of each of the 50 states in the United States.

Bar Graph is the better way to represent the above scenario, because the higher data entry may result in a very huge pie chart to understand it properly.

3). The number of college students who play basketball, baseball, or soccer.

The pie chart is the better way to represent the above situation.

4). The proportion of traditional public schools in a region compared to

the proportion of charter and private K–12 schools in that region.

The pie chart is the better way to represent the above situation.

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Final answer:

For the percent of individuals with each natural eye color and the population density of each state in the United States, a bar graph is appropriate. For the number of college students who play different sports, a bar graph is also appropriate.

Explanation:

A bar graph would be an appropriate way to display the percent of individuals with each natural eye color. Each bar in the graph would represent a different eye color, and the length of the bar would represent the percentage of individuals with that eye color. This would allow for easy comparison of the different eye colors.

For the population density of each state in the United States, a bar graph would also be appropriate. Each bar in the graph would represent a different state, and the height of the bar would represent the population density of that state. This would allow for easy comparison of the population densities between states.

For the number of college students who play basketball, baseball, or soccer, a bar graph would be the most appropriate choice. Each bar in the graph would represent a different sport, and the height of the bar would represent the number of students who play that sport. This would allow for easy comparison of the number of students playing each sport.

Dan wrote (2x10^6)+(3x10^4)+(5x10^3)+4 for the expanded form of two millions , three hundred fifty thousand, four. What error did he make in the expanded form? What is the standard form of the number?

Answers

Answer:

Part 1) Dan wrote in expanded form two millions thirty five thousand, four instead of  two millions , three hundred fifty thousand, four

Part 2) The standard for of the number is [tex]2,350,004[/tex]

Step-by-step explanation:

we have

The number two millions , three hundred fifty thousand, four

we know that

Dan Wrote

[tex](2*10^6)+(3*10^4)+(5*10^3)+4=2,000,000+30,000+5,000+4=2,035,004[/tex]

The number that Dan wrote is two millions thirty five thousand, four

The correct number in expanded form is

[tex](2*10^6)+(3*10^5)+(5*10^4)+4=2,000,000+300,000+50,000+4=2,350,004[/tex]

The standard for of the number is [tex]2,350,004[/tex]

what is 3w + 5 =23 it's a two step equation​

Answers

Answer:

w=6

Step-by-step explanation:

3w+5=23

3w=23-5

3w=18

w=6

The solution to the equation 3w + 5 = 23 is w = 6.

The given equation is 3w + 5 = 23.

We need to solve for w.

Subtract 5 from both sides of the equation to isolate the term with 3w:

3w + 5 - 5 = 23 - 5

3w = 18

Divide both sides of the equation by 3 to solve for w:

(3w) / 3 = 18 / 3

This simplifies to:

w = 6

Therefore, the solution to the equation 3w + 5 = 23 is w = 6.

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A line has a slope of 2/3 and a y-intercept of 4.
Which of the following is the equation of the line?

Answers

Final answer:

The equation of the line with a slope of 2/3 and y-intercept of 4 is y = 2/3x + 4.

Explanation:

The equation of a line in slope-intercept form (which is the most common form we deal with in algebra) is y = mx + b, where m is the slope and b is the y-intercept.

In this case, you're given that the slope (m) is 2/3 and the y-intercept (b) is 4. Substituting these values into the equation gives you the equation of the line: y = 2/3x + 4.

This is the equation that represents the given line

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Final answer:

The equation of the line with a slope of 2/3 and a y-intercept of 4 is y = 2/3x + 4.

Explanation:

To find the equation of a line with a slope of ⅓ and a y-intercept of 4, we can use the slope-intercept form of a line, which is y = mx + b where m is the slope and b is the y-intercept.

The given slope is ⅓, so m = ⅓. Given that the y-intercept is 4, b = 4.

Plugging these values into the slope-intercept equation, we get y = ⅓x + 4, which is the equation of the desired line.

The equation of a line is a mathematical expression that describes the relationship between the independent variable (x) and the dependent variable (y) for points on that line in a Cartesian coordinate system. It allows you to represent a straight line graphically on a two-dimensional plane.

I am thinking of a number. If you triple my number and subtract 11, you get my number plus 33. What's my number?"

Answers

Answer:

22

Step-by-step explanation:

22 x 3 = 66

66- 11 = 55

55-33 = 22

3-(-9)÷-10+6

what is the answer?show work​

Answers

Answer:

- 12/4

Step-by-step explanation:

3 - (-9) / (-10) + 6

3 + 9 / (-4)

12 / (-4)

- 12/4

sam is 5 feet tall and casts a shadow 4 feet long. at the same time, a nearby tree casts a shadow 12 feet long. what is the height of the tree

Answers

Answer:

15

Step-by-step explanation:

We can just make a ratio. 5:4 = x:12. We see x=15

The height of the tree = 15m.

let us say the height of the tree=h

in this problem,

the height of the sam can be treated as perpendicular of a right-angle triangle.

while his shadow can be treated as the base of the same triangle.

now, we need to calculate the angle of elevation α

what is the angle of elevation?

it is the angle between the line of sight and the horizon.

hence,

the tangent of the angle of elevation α= height/length of the shadow

tanα= 5/4

tan α = height of the tree/length of the shadow of the tree

5/4 = h/12

h=15m

therefore, the height of the tree = 15m

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for #3 find the x and y-intercept and graph​

Answers

Answer:

The x-intercept is at -8 and the y-intercept is at -5.

Step-by-step explanation:

When you simplify 5x + 8y = 40 into y = mx + b form, you get y = -5/8x - 5.

Answer: x-intercept is (-8,0) and y-intercept is (0,-5)

Step-by-step explanation:

5x+8y=-40

To find the x-intercept, you plug in 0 in for y.

5x+8(0)=-40

5x=-40

Then solve for x

5x/5=-40/5

x=-8

The x-intercept is (-8,0)

To find the y-intercept, you plug in 0 in for x

5(0)+8y=-40

8y=-40

Solve for y

8y/8=-40/8

y=-5

y-intercept is (0,-5)

What is the value of y if 6y-2=34

Answers

Answer:

6

Step-by-step explanation:

6y - 2 = 34

6y = 36

y = 6

Answer:

y = 6

Step-by-step explanation:

6y - 2 = 34

    +2     +2

6y = 36

[tex]\frac{6y}{6} = \frac{36}{6}[/tex]

y = 6

What is the first step in simplifying

Answers

Answer: PEMDAS

parenthesis, exponents, multiplication, division, addition, subtraction

Step-by-step explanation:

Answer:

Collect like terms or reduce or using PEMDAS METHOD.

What is 240 divided by 6

Answers

Answer:

40

explanation:

240 ÷ 6 = 40

The value of expression 240 divided by 6 would be equal to 40

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of 240 divided by 6

A negative divided by a negative is positive

240 ÷ 6 = 40

Therefore, The value of 240 divided by 6 is; 40

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5. Margaret is making fudge for a
party. The recipe calls for
| 1 1/4 cups of sugar and 1 1/4cups of
chocolate chips. How many cups
of sugar and chocolate chips does
Margaret need to make the
fudge?

Answers

Final answer:

Margaret needs 2 1/2 cups of sugar and chocolate chips to make the fudge.

Explanation:

To make the fudge, Margaret needs 1 1/4 cups of sugar and 1 1/4 cups of chocolate chips.

To find the total number of cups needed, add the amounts of sugar and chocolate chips: 1 1/4 + 1 1/4 = 2 1/2 cups.

Therefore, Margaret needs 2 1/2 cups of sugar and chocolate chips to make the fudge.

10. 4(x - 1) - 5 = 3x + 7
how do i Distribute

Answers

Answer:

x=16

Step-by-step explanation:

The Distributive property says a(b+c) = ab+ac

1) You have 4(x-1)... This can be simplified to 4x-4

4x-4-5=3x+7

2) Combine alike terms:

4x-9=3x+7

3) add a 9 to both sides:

4x=3x+16

4) subtract a 3x from both sides:

x=16

Which describes the transformation? Select three options,

Answers

Answer:

There are four kind of transformation that can take place in any Geometrical shape

1. Reflection----Congruent Image

2. Rotation---Congruent Image

3. Translation---Congruent Image

4. Dilation -----Similar Image

The Correct three options which Describes Transformation are

→ It is rigid.----( Reflection, Translation, Rotation)

→ It is non-rigid.-----(Dilation)

→ It is isometric.------Length remain Preserved that is Reflection, Translation, and Rotation

→The size is preserved.-------Reflection, Translation, and Rotation.

I Hope It's Helpful:)

Consider the equation 5y = 2x +4. Select all the equations that are perpendicular to the given equation.

Answers

Final answer:

None of the given equations are perpendicular to the equation '5y = 2x +4'. This is because perpendicular lines have reciprocal, negative slopes and none of the given lines meet this criteria.

Explanation:

To find the equations that are "perpendicular" to the given equation 5y = 2x +4, we first need to find out the slope of the given equation. The slope of the equation is obtained by rearranging it into the y=mx+b form where m stands for the slope. Thus, y=(2/5)x+4/5, which gives us a slope (m) of 2/5.

Perpendicular lines have slopes that are negative reciprocals of each other. So, for a line to be perpendicular to the given line, it should have a slope of -5/2.

Given the equations 7 y = 6x + 8, 4y = 8, and y + 7 = 3x, let's find out their slopes. The slope for the first equation is 6/7, for the second equation is undefined as it's a horizontal line, and for the third equation is 3. Hence, none of these lines are perpendicular to the given line. Similarly, none of the lines Y2 = -173.5+ 4.83x − 2(16.4) and line Y3 = -173.5+ 4.83x + 2(16.4) don't have a slope of -5/2 and hence, are not perpendicular to the given line.

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Jenna calculated several numbers in her calculator. The result displayed -1.7E-4 on the calculator screen. Which equivalent number(s) does this represent? Select all that apply.

1. -1.7 x 10^-4
2. 1.7 x 10^-4
3. 0.00017
4. -0.00017
5. -1,700

Answers

Answer:

1, 4

Step-by-step explanation:

e is the exponent of the number, therefore it is the number which 10 is raised by, so -4.

Which means -1.7 will be multipled by 10 raised to the -4 power, so 1 is obviously correct.

Additionally, This is in scientific form. You can also write this in standard form in decimals, 10^-4 means it is 4 decimal places ahead the original number so you can move the decimal point back 4 places and add 0s, you will see that -0.00017 is also in fact correct.

Answer:

1 and 4.

Step-by-step explanation:

That would be -1.7 * 10^-4.

Also it can be written as -0.00017.

please help me! thanks in advance trying to raise my grade

Answers

Answer:

x=53

Step-by-step explanation:

In the attachment, it shows how the angle 53 is vertically opposite to the one in blue. Which happens to be corresponding, therefore equal, to the angle x.

Have a nice day!!! :-)

KA

x=53° because of alternate exterior angles. Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
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Join a team at school so she is not alone Review a map to learn about lakes and parks in her new neighborhood Research parks in her area to learn about new activities to try Exercise only when she visits her old neighborhood where she can go kayaking House of Pianos, Inc., purchases pianos from a well-known manufacturer and sells them at the retail level. The pianos sell, on the average, for $3,300 each. The average cost of an piano from the manufacturer is $1,492. The costs that the company incurs in a typical month are presented below: Costs Cost Formula Selling: Advertising ......................................... $955 per month Delivery of pianos ............................... $61 per piano sold Sales salaries and commissions............. $4,823 per month, plus 4% of sales Utilities ............................................... $633 per month Depreciation of sales facilities .............. $4,944 per month Administrative: Executive salaries ................................ $13,490 per month Depreciation of office equipment .......... $943 per month Clerical ............................................... $2,499 per month, plus $37 per piano sold Insurance ........................................... $719 per month During November, the company sold and delivered 60 pianos. Required: 1. Prepare a traditional income statement for September. 2. Prepare a contribution format income statement for September. Show costs and revenues on both a total and a per unit basis down through contribution margin. 3. Refer to the income statement you prepared in (2) above. Why might it be misleading to show the fixed costs on a per unit basis? At a certain elevation, the pilot of a balloon has a mass of 125 lb and a weight of 119 lbf. What is the local acceleration of gravity, in ft/s2, at that elevation? If the balloon drifts to another elevation where g = 32.05 ft/s2, what is her weight, in lbf, and mass, in lb? jacob the dog eats dry food that contains 324kcal/cup. Jacob eats 3.5 cups a day. The food contains 3.6 g of fat in 100 kcals of energy. what is his daily fat intake?the food contains 25.6 IU of Vitamin D3 in 100 kcals of energy. what is his daily Vitamin D inake? technogy can help governments handle economic emergencies such as The molar absorptivity for aqueous solutions of phenol at 211 nm is 6.17x103L/mol/cm. Calculate the linear range of phenol concentrations if the transmittance is to be less than 85% and greater than 7% when the measurements are made in 1cm cell. Two angles are complementary. The measure of the larger angle is 10 more than 4 times the measure of the smaller angle. Find the measures of both angles.Can someone please help me? Maureen is really frustrated that the contractor working on her house is taking so long. But she doesnt want to yell at him because she is worried he will not produce quality work for her if she does. Instead, she yells and snipes at her husband. Maureens aggression is ____________.a)displacedb)violentc)Instrumentald)proactive 3w - (7w + 12) = 2(w 3)how do u do this step by step What is the Matlab command to create a vector of the even whole numbers between 29 and 73? The time base on the oscilloscope is set for 2 ms/cm and the vertical input has a frequency of 3000 Hz. How many wave cycles will appear within the 10 cm width of the screen? Northwest Hospital is a full-service hospital that provides everything from major surgery and emergency room care to outpatient clinics. The hospital's Radiology Department is considering replacing and old inefficient X-ray machine with a state-of-the-art digital X-ray machine. The new machine would provide higher quality X-rays in less time and at a lower cost per X-Ray. It would also require less power and would use a color laser printer to produce easily readable X-ray images. Instead of investing the funds in the new X-ray machine, the Laboratory Department is lobbying the hospital's management to buy a new DNA analyzer. For each of the items below, indicate whether it should be considered a differential cost (DC), an opportunity cost (OC) or a sunk cost (SC) in the decision to replace the old X-ray machine with a new machine. If none of the categories apply for a particular item, please put (NA) next to the number for "none apply". Please list the number and the 2 digit abbreviation next to it. For example, 1.OC, 2. SC, etc. 1. Cost of the old X-ray machine 2. The salary of the head of the Radiology Department 3. The salary of the head of the Pediatrics Department 4. Cost of the new laser printer 5. Rent on the space occupied by Radiology 6. The cost of maintaining the old machine 7. Benefits from a new DNA analyzer 8. Cost of electricity to run the X-ray machines