I am in need of help

I Am In Need Of Help

Answers

Answer 1

Answer:

The answer is Step 2: m<w + m<z = 180 degrees (suppplmentary angles).

Step-by-step explanation:

First, Step 2 says m<w - m<z = 90 degrees. That's false because the m<w - m<z  would equal an acute angle, not a right angle. Secondly, the m<w + m<z = 180 degrees. Supplementary angles equal 180 degrees.


Related Questions

I'J'is a translation of IJ Write the translation rule.

Answers

Answer:

(x+6), (y+9)

Step-by-step explanation:

The x coordinate of J goes from -7 to -1, so it is translated x+6

The y coordinate of j goes from -8 to 1, which is a difference of 9, so it's translated y + 9

Which
expression is equivalent to
(x^6y^8)^3/x^2y^2

Answers

Answer: [tex]x^{16}y^{22}[/tex]

Step-by-step explanation:

[tex]\frac{(x^6 y^8)^3}{x^2 y^2}=\frac{x^{18}y^{24}}{x^2 y^2}=x^{16}y^{22}[/tex]

Area=
Help me please thanks so much :)

Answers

Answer:

48π

Step-by-step explanation:

To find the area of the shaded region, find the area of the large circle and the small circle then subtract.

Large circle:

8²π=64π

Small circle:

4²π=16π

Now subtract 16 from 64.

64-16=48

The area of the shaded region is 48π.

Hope this helps!

Based on the estimated cost of college from step 1, determine how you are going to pay for college. You will need to do some research to learn about the various methods used to pay for college costs.



Complete the table below to document your financial needs.

Source Estimated Need
grants
loans
scholarships
work-study
other

Answers

This is a budgeting exercise. Based on the estimated cost of college which was set at $58,000, the following steps indicate how I intend to pay for college:

Scholarship - 70%   = $40,600Work Study - 17.2% = $10,000Loan - 12.76%         = $7, 400

                                        $58,000

What is budgeting?

Budgeting is simply the process of outlining the total expense requirements of an individual person or a corporate entity and how those expenses will be satisfied and efficiently allocated.

From the above, the total sum of $58,000 will be satisfied from three sources:

ScholarshipsWork-Study; andLoan.

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A train leaves the station at 11 a.m. traveling at the rate of 40 miles per hour. A faster train leaves the same station at 1 p.m. that afternoon and travels in the same direction on a parallel track at a rate of 60 miles per hour. At what time will the faster train overtake the slower one

Answers

The faster train overtake the slower on 5 p.m.

How to solve such time related questions?

The key concept for solving such questions is the relationship between speed, distance and time.

The relationship between them is Distance = Speed x Time.

Let the number of hours after 1pm at which faster train will overtake slower train be x.

At overtaking point,

Distance travelled by slower train = Distance travelled by faster train

Given :

Speed of slower train = 40 miles per hourSpeed of faster train = 60 miles per hourTime taken by faster train = xTime taken by slower train = x + 2.

On equating distances we get

40 x ( x + 20) = 60 x (x)

40x + 80 = 60x

20x = 80

x = 4.

∴The faster train overtake the slower on 1 + 4 = 5 p.m.

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Kevin was asked to determine the length of side XZ. His work is shown.

Triangle X Y Z is shown. Angle Y Z X is 90 degrees and angle Y X Z is 34 degrees. The length of hypotenuse X Y is 18.

cos(34°) =
(XZ)cos(34°) = 18
XZ =21.7

Which error did Kevin make?
He has the side lengths in the wrong place in the cosine ratio.
He multiplied both sides by the length of XZ instead of dividing by XZ.
He should have used the sine ratio.
He should have used the tangent ratio.

Answers

Answer:

The answer is A) He has the side lengths in the wrong place in the cosine ratio.

Answer:

A. He has the side lengths in the wrong place in the cosine ratio.

Step-by-step explanation:

got it right on edge23

please help!
A) A top-class tennis player can serve the ball, of mass 57 g, at an initial horizontal speed of 50 m/s. The ball remains in contact with the racket for 0.05 s. Calculate the average force exerted on the ball during the serve.

B) A motor car of mass 3000 kg moving with 72 km h-1 made to reduce its speed to 18 km h^-1, in 40 s, by applying brakes. Find the resistive force.

Answers

The average force exerted on the ball during the serve is 57 N the resistive force is -1125 N.

Force

a. Average force

Using  this formula

Force (F) = Mass ×Acceleration

Where:

Mass (m) = 57 g = 57 / 1000= 0.057 Kg

Acceleration (a) = u / t = 50 / 0.05 = 1000 m/s²

Let plug in the formula

Force (F) = 0.057 × 1000

Force (F) = 57 N

b. Resistive force

F = m(v – u) / t

Where:

Force (F) = ?

Mass (m) = 3000 Kg

Initial velocity (u) = 72 Km/h = 72 / 3.6 = 20 m/s

Final velocity (v) = 18 Km/h = 18 / 3.6 = 5 m/s

Time (t) = 40s

Let plug in the formula

Force = 3000(5 – 20) / 40

Force = 3000(-15) / 40

Force=-45,000/40

Force = -1125 N

Therefore the average force exerted on the ball during the serve is 57 N the resistive force is -1125 N.

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WILL MAKE BRAINLIEST
5. If m2ABC= 180°, is the angle right, straight, obtuse, or acute?
obtuse
acute
straight
right

Answers

Straight line because it’s 180 degrees.

Use cylindrical coordinates to find the volume of the region in the first octant bounded by the cylinder r and the plane z.

Answers

The volume of the region in first octant is 9.

Given that the region in the first octant bounded by the cylinder r=3 and the plane z=y.

The graph is shown below.

we are given that first octant is bound by r=3  and z=y

We will use the conversion formula, i.e.

x²+y²=r² where x=rcos∅ and y=rsin∅

Firstly, we will find bound octant

0≤∅≤π/2

0≤r≤3

0≤z≤r sin∅

Now, we can set up integral

[tex]V=\int_{0}^{\frac{\pi}{2}}\int_{0}^{3}\int_{0}^{rsin(\theta)}rdzdrd\theta[/tex]

Further, we can solve it.

Firstly, we solve integral for z then we solve for r and after that we will solve for ∅, we get

[tex]\begin{aligned}V&=\int_{0}^{\frac{\pi}{2}}\int_{0}^{3}r^2 \sin (\theta)dr d\theta\\&=\int_{0}^{\frac{\pi}{2}}\frac{1}{3}r^3\sin \theta d\theta\left|_{0}^{3}\\ &=\int_{0}^{\frac{\pi}{2}}\left(\frac{1}{3}\sin\theta d\theta(27-0)\right)\\ &=\int_{0}^{\frac{\pi}{2}}9\sin \theta d\theta\\ &=0-(-9)\\ &=9\end[/tex]

Hence, the volume of the region in the first octant is bounded by the cylinder r=3 and the plane z=y is 9.

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Dalvin took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.80 plus $2 per mile. The total fare was $30.80, not including the tip. Which tape diagram could be used to represent the context if mm represents the number of miles in the taxi ride?

Answers

Answer:

The equation should be 2.5x+1.8=59.3

Step-by-step explanation:

The number of miles in the taxi ride is 10

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Dalvin took a taxi from his house to the house. The taxi company charged a pick-up fee of $4.80;

The fare per mile is $2

The total fare was $30.80, not including the tip;

Let the number of mile is x

Total fare = pick up fee + fee per mile

30.80 = 4.80 + 2x

2x = 26

x = 13

Therefore, the number of miles by algebra Dalvin took a taxi will be 13

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The sum of all but one interior angle of a heptagon is 776°. What is the measure of the final interior angle? 42º 56º 124º 304º

Answers

The measure of the seventh interior angle of the heptagon is 124°. (Correct choice: C)

What is the measure of the missing interior angle in a heptagon?

Heptagons are polygons with seven sides, seven vertices, seven interior angles and seven central angles. Herein we know the value of the sum of six interior angles and we need to know the measure of the seventh interior angle. We can determine the measure of the seven interior angles by using the following expression:

θ = (n - 2) · 180°, where n is the number of sides of the polygon.     (1)

If we know that n = 7, then sum of the internal angles in the heptagon is:

θ = (7 - 2) · 180°

θ = 900°

And the measure of the final interior angle is found by subtraction:

θ₇ = 900° - 776°

θ₇ = 124°

The measure of the seventh interior angle of the heptagon is 124°. (Correct choice: C)

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Solve:
-5/2 a + 5 = 25

a =

Answers

Answer:

A = -8

You're welcome! :)

Answer: a = -8

Step-by-step explanation:

Combine multiplied terms into a single fraction

then find a Find common denominator for the fraction

then Combine fractions with common denominator,

Multiply the numbers, Multiply all terms by the same value to eliminate fraction denominators, Cancel multiplied terms that are in the denominator,

Multiply the numbers making your equation like this -5a+10=50

subtract 10 by both sides and then you will need to simplify making it

-5a + 40 then you divide them both by the same factor which is -5 then you simplify again making the answer to your question -8  

If A and B are independent events and P(A)=0.25 and P(B)=0.333, what is the probability P(ANB)?
a) 1.33200
b) 0.75075
c) 0.08325
d) -0.0830

Answers

The probability P(ANB), that is, P(A ∩ B), given that A and B are independent events and P(A) = 0.25 and P(B) = 0.333 is 0.08325. Hence, option C is the right choice.

For any two events A and B, the probability of event A and B, that is, P(A ∩ B) is given as:-

When the events are dependent, P(A ∩ B) = P(A).P(B|A).When the events are independent, P(A ∩ B) = P(A).P(B).

In the question, we asked the probability P(ANB), that is, P(A ∩ B), given that A and B are independent events and P(A) = 0.25 and P(B) = 0.333.

We know that when the events are independent, P(A ∩ B) = P(A).P(B).

Thus, P(A ∩ B) = (0.25)*(0.333),

or, P(A ∩ B) = 0.08325.

Thus, the probability P(ANB), that is, P(A ∩ B), given that A and B are independent events and P(A) = 0.25 and P(B) = 0.333 is 0.08325. Hence, option C is the right choice.

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How many sequences of 0s and 1s of length 19 are there that begin with a 0, end with a 0, contain no two consecutive 0s, and contain no three consecutive 1s

Answers

65 sequences.

Lets solve the problem,

The last term is 0.

To form the first 18 terms, we must combine the following two sequences:

0-1 and 0-1-1

Any combination of these two sequences will yield a valid case in which no two 0's and no three 1's are adjacent

So we will combine identical 2-term sequences with identical 3-term sequences to yield a total of 18 terms, we get:

2x + 3y = 18

Case 1: x=9 and y=0

Number of ways to arrange 9 identical 2-term sequences = 1

Case 2: x=6 and y=2

Number of ways to arrange 6 identical 2-term sequences and 2 identical 3-term sequences =8!6!2!=28=8!6!2!=28

Case 3: x=3 and y=4

Number of ways to arrange 3 identical 2-term sequences and 4 identical 3-term sequences =7!3!4!=35=7!3!4!=35

Case 4: x=0 and y=6

Number of ways to arrange 6 identical 3-term sequences = 1

Total ways = Case 1 + Case 2 + Case 3 + Case 4 = 1 + 28 + 35 + 1 = 65

Hence the number of sequences are 65.

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Figure TUVS is a parallelogram.

Parallelogram T U V S is shown. Angle U is (4 x + 9) degrees and angle V is (6 x minus 29) degrees.

Which angles equal 91°?
angles T and V
angles S and U
angles U and V
angles S and T

Answers

Angles T and V of the parallelogram are equal to 91°.

Calculating the Value of x

In the parallelogram TUVS, adjacent angles U and V are given as,

U = 4x+9

V = 6x-29

Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.

4x+9 + 6x-29 = 180

10x - 20 =180

10x = 200

x = 20

Calculating the Angles of the Parallelogram

∠U = 4x + 9

∠U = 4(20) + 9

∠U = 80 + 9

∠U = 89°

∠V = 6x - 29

∠V = 6(20) - 29

∠V = 120 - 29

∠V = 91°

According to the properties of a parallelogram, opposite angles are of equal measure.

∠T = ∠V and ∠S = ∠U

⇒ ∠T = 91° and ∠S = 89°

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Answer:

angles t and v

Step-by-step explanation:

edge

What is the solution to this system of equations x-2 y=15 2x+4y=-18

Answers

Answer:

(3, - 6 )

Step-by-step explanation:

x - 2y = 15 ( add 2y to both sides )

x = 2y + 15 → (1)

2x + 4y = - 18 → (2)

substitute x = 2y + 15 into (2)

2(2y + 15) + 4y = - 18 ← distribute parenthesis and simplify left side

4y + 30 + 4y = - 18

8y + 30 = - 18 ( subtract 30 from both sides )

8y = - 48 ( divide both sides by 8 )

y = - 6

substitute y = - 6 into (1)

x = 2(- 6) + 15 = - 12 + 15 = 3

solution is (3, - 6 )

Answer:

x is 3 y is -6 I really hope this helps

Someone help me out on these 2 geometry questions, ASAP!!!
“Complete the proofs”

Answers

Question 11

1) [tex]\overline{BA} \cong \overline{FA}[/tex], [tex]\angle 1 \cong \angle 2[/tex] (given)

2) [tex]\angle A \cong \angle A[/tex] (reflexive property)

3) [tex]\triangle AEB \cong \triangle ACF[/tex] (ASA)

4) [tex]\overline{AC} \cong \overline{AE}[/tex] (CPCTC)

Question 12

1) Isosceles [tex]\triangle ACD[/tex] with [tex]\overline{AC} \cong \overline{AD}[/tex], [tex]\overline{BC} \cong \overline{ED}[/tex] (given)

2) [tex]\angle ACD \cong \angle ADC[/tex] (angles opposite congruent sides in a triangle are congruent)

3) [tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] are supplementary. [tex]\angle ADC[/tex] and [tex]\angle ADE[/tex] are supplementary (angles that form a linear pair are supplementary)

4) [tex]\angle ACB \cong \angle ADE[/tex] (supplements of congruent angles are congruent)

5) [tex]\triangle ABC \cong \triangle AED[/tex] (SAS)

6) [tex]\overline{AB} \cong \overline{AE}[/tex] (CPCTC)

7) [tex]\triangle ABE[/tex] is an isosceles triangle (a triangle with two congruent sides is isosceles)

Note: I changed the names of the segments in Question 11 because of the word filter.

1/5n+3/5n=7/9

Can you help?

Answers

The value of n in 1/5n+3/5n=7/9 is 35/36

How to solve the equation?

The equation is given as:

1/5n+3/5n=7/9

Multiply through by 5

n + 3n = 35/9

Evaluate the sum

4n = 35/9

Divide both sides by 4

n = 35/36

Hence, the value of n in 1/5n+3/5n=7/9 is 35/36

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Evaluate the following expression by applying the appropriate properties (24) 3 (31.7)/ 172

Answers

−3/7×14/15×7/12×(−30/35)

=(−3/7×14/15)×(7/12×−30/35)

On further calculation, we get

=−2/5×−1/2

We get,

=1/5.

Property 1:

If a/b is a rational number and m is a non-zero integer then a/b =(a*m)/(b*m). In other words, we can say that the rational number remains unaltered if we multiply both the numerator and denominator with the same integer. Ex: 2/3 = 2*2/3*2 = 4/6, 2*3/3*3 = 6/9, 2*4/3*4 = 8/12.

Math Properties

Commutative Property.

Associative Property.

Distributive Property.

Identity Property.

Inverse Property.

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Ann invested $9000 in an account that earns 4.7% interest compounded annually . how much did ann have in the account after 5 years

Answers

The correct answer is FV = $11,323.38  

What is compound interest explain?

Compound interest is when you earn interest on both the money you've saved and the interest you earn. So let's say you invest $1,000 (your principal) and it earns 5 percent (interest rate or earnings) once a year (the compounding frequency).

FV = PV x [1 + R]^N, where FV=Future Value, PV=Present Value, R=Interest rate per period, N=Number of periods.

FV = 9,000 x [1 + 0.047]^5

FV = 9,000 x 1.047^5

FV = 9,000 x 1.258152857750007

FV = $11,323.38

Therefore , the answer is $11,323.38.

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1/5n+3/5n=7/9


Can you help?

Answers

The value of n from the given expression is 35/36

Solving linear equation

Given the equation below expressed as:

1/5n+3/5n=7/9

Find the LCM

(n+3n)/5 = 7/9

4n/5 = 7/9

Cross multiply

4n * 9 = 5* 7

36n = 35

n = 35/36

Hence the value of n from the given expression is 35/36

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What is the simplified form of tan (pi÷4-x)

Answers

Answer:

π/4 − x

Step-by-step explanation:

I hope its correct

id love some help!!!

Answers

Answer : 12.56 inches²
Explanation :
Diameter is twice the radius.
Radius = 4 ÷ 2 = 2 inches
Area = 3.14r² = 3.14 × 2² = 12.56 inches²

Answer:

Circle:

circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

[tex] \sf{formula \: to \: find \: the \: area \: is}[/tex]

[tex] \large{ \boxed{ \tt{A = {\pi \times r}^{2} }}}[/tex]

[tex] \sf{formula \: to \: find \: perimeter \: of \: circle \: is}[/tex]

[tex] \large {\boxed{ \tt{p = 2 \times \pi \times r}}}[/tex]

Continue to Question.

If the radius is 2 inches and

Use 3,14 for π So:

[tex] \tt{ {A = \pi \times {r}^{2} }}[/tex]

[tex] \tt{A = (3.14 \times 2 \times 2)} [/tex]

[tex] \red{ \boxed{ \bold{A = 12.56 {inches}^{2} }}}[/tex]

So, The Area of circle is 12.56inches²

If RT = 90, find the length of RO. (SU = 25)(SO is perpendicular to RT)

Answers

In the given figure of circle, if RT = 90, SU = 25, and SO is perpendicular to RT, the length of the radius RO is 53.

In the given figure,

RT = 90

SU = 25

SO is perpendicular to RT.

Here, SO and RO are the radii of the circle and RT is a chord.

The length of the chord, RT is given as,

RT = 2 √(r² - d²)

Here, r is the radius and d is the distance of the chord RT from the center O.

Radius, r = RO and distance, d = OU

∴ RT = 2 √(RO² - OU²)

Substituting RT = 90 in the above equation, we get,

90 = 2 √[(RO)² - (OU)²]

√[RO)² - (OU)²]  = 45

(RO)² - (OU)² = 45²

(RO)² - (OU)² = 2025 ........... (1)

Now, OU = SO - SU   [From the figure]

⇒ OU = SO - 25

Substituting OU = SO - 25 in equation (1), we obtain,

(RO)² - (SO - 25)² = 2025

(RO)²- [(SO)² + (25)² - 2(SO)(25)] = 2025    [ ∵ (a-b)² = a²+b²-2ab ]

(RO)²- (SO)² - (25)² + 50(SO) = 2025 ........... (2)

Since, RO and SO both are the radii of the same circle, we have,

SO = RO

Thus, we can write equation (2), as follows,

⇒ (RO)² - (RO)² - (25)² + 50(RO) = 2025

⇒ -625 + 50RO = 2025

⇒ 50RO = 2025 + 625

⇒ RO = 2650/50

⇒ RO = 53

Hence, the length of the radius RO of the given circle is 53.

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PLRASE HELPPP PLS IM STUCK

Answers

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.

Answers

I hope this helps, I’m not sure what the 2 boxes next to the equation in parentheses mean, so if i’m missing something please tell me.

Gavin has nickles, dimes, and quarters in the ratio of 1:3:6 if 57 of Gavin's coins are dimes how many nickels and quarters does Gavin have?

Answers

Answer:

Gavin has 19 nickels & 114 quarters

Step-by-step explanation:

N : D : Q

1 : 3 : 6 = 57

x : 57 : y

57 / 3 = 19

1 x 19 : 3 x 19 : 6 x 19

19 : 57 : 114

B.) what fraction of the cost is spent on food and entertainment? food- 17% entertainment- 24% they have 3000 dollars

Answers

The quantity spent on amusement = 720

quantity spent on food = 510

they have got 3000 for vacation.

amount spent on food = 17% of 3000

⇒ 17/one hundred*3000

17*30= 510

amount spent on amusement = 24% of 3000

⇒ 24/100*3000

24*30= 720

A person would possibly account for a terrible temper or general rude conduct by explaining that bad site visitors affected the morning travel, for example. someone who is exceeded over for a promotion would possibly rationalize the frustration by means of claiming to not have desired so much responsibility in the end.

To carry into accord with cause or reason something to appear reasonable especially: to characteristic (one's actions) to rational and creditable motives without evaluation of proper and especially unconscious motives he attempted to rationalize his merciless behavior. intransitive verb.

Ego protection wherein apparently logical motives are given to justify unacceptable behavior that is influenced by subconscious instinctual impulses. In the psychoanalytic concept, such conduct is considered to be a defense mechanism.

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5. Where is the graph increasing?

Answers

Answer:

Increases from points 0x,-6y to 2x,-3y.

Step-by-step explanation:

__________ notation encodes a real number as a mantissa multiplied by a power (exponent) of 2.

Answers

Answer:

Step-by-step explanation:

floating point

Other Questions
as julie (age 10), is playing with a ball of play dough she realizes that no matter what she does to it (flatten, cut, make different shapes); it can always go back to its original form (a ball). what is this an example of? buried erosional surfaces between parallel sedimentary strata are termed ________. group of answer choices A. disconformities .B. angular unconformities C. nonconformities D. marker beds How many sides does the regular polygon have? how many times is the fibonacci() function called when given the input 4? do not include the initial function call fibonacci(4). Florida Corporation has two classes of stock: common, $4 par value; and preferred, $25 par value. Requirements 1. Journalize Florida's issuance of 4,500 shares of common stock for $15 per share. 2. Journalize Florida's issuance of 4,500 shares of preferred stock for a total of $112,500. The reaction A+ 3B Products has an initial rate of 0.0345 M/s and the rate law rate-k[A][B]2. What will the initial rate be if (A) is quadrupled and (B) is halved? a) 0.138 M/S. b) 0.0.0345 M/s. c) 0.276 M/S. d) 0,452 M/S. e) 0.069 M/S. How can knowledge of human relations help in the work place A Cisco security appliance can include all the following functions except:a. Intrusion prevention systemb. A routerc. A firewalld. A honeypot 4. calculate the overall theoretical yield for the sequence, p-anisaldehyde to the ethylene ketal.Syn. 1: Aldol Condensation 1.00 g of p-anisaldehyde 10 mL of acetone Syn. 2: Michael Addition 0.800 g of dianisaldehyde (product 1) Syn. 3: Ethylene Ketal Preparation 0.700 g of Michael Addition product [dimethyl-2,6-bis(p-methoxyphenyl)-4-oxocyclohexane-1,1-dicarboxylate] 0.800 mL of dimethylmalonate Syn. 3 product dimethyl-2,6-bis(p-methoxyphenyl)-4,4-ethylenedioxocyclohexane-1,1- dicarboxylate True or false Pro forma financial statements highlight situations in which actual outcomes deviate from projections, which in turn helps managers understand why a firms results are not in alignment with its forecasts? A 0.682-gram sample of an unknown weak monoprotic organic acid, HA, Was dissolved in sufficient water to make 50 milliliters of solution and was titrated with a 0.135-molar NaOH solution. The equivalence point (end point) was reached after the addition of 27.4 milliliters of the 0.135-molar NaOH. (a) Calculate the number of moles of acid in the original sample. (b) Calculate the molecular weight of the acid HA. The variable overhead efficiency variance measures how efficiently variable manufacturing overhead resources were used. True or false? An ethical hacker is ACK-scanning against a network segment he knows is sitting behind a stateful firewall. If a scan packet receives no response, what does that indicate?A. The port is filtered at the firewall.B. The port is not filtered at the firewall.C. The firewall allows the packet, but the device has the port closed.D. It is impossible to determine any port status from this response. A store is giving every customer who enters the store a scratch-off card labeled with numbers from 1 to 12. It is equally likely that any of the numbers from 1 to 12 will be labeled on a given card. If the card is an even number, the customer gets a 20% discount on a purchase. If the card is an odd number greater than 4 , the customer gets a 30% discount. Otherwise, the discount is 15%. Complete parts a and b. consider the following data: equilibrium price = $12, quantity of output produced = 125 units, average total cost = $14, and average variable cost = $9. what will the firm do and why?' During the past 30 years, income inequality in the United States has increased in part due to rapid technological change. How does technological change contribute to income inequality?A.Technology complements the skills of the welleducated while rendering redundant the labor services of unskilled and low skilled workers. This causes a decline in the wages of low and unskilled workers relative to other workers.B. The opportunity cost of investing in technology is investments in human capital. The resulting decrease in labor's marginal productivity has led to lower wages.C.Technological change favors the owners of capital and since highincome individuals tend to own capital, income inequality is further exacerbated.D. Advancements in technology displace skilled and unskilled workers in certain fields, leading to higher unemployment rates. Solve. |7x-20|=|2x+20| Haptics refers to communicating through the use of _____.A. eye contact and gazeB. physical spaceC. bodily contactD. artifacts and charts which of the following plays a critical role in facilitating cultural and legal change? How can the turnover number of an enzyme be determined? a. as Vmax b. when half of the enzyme is occupied with the substratec. by the initial velocity d. when the enzyme is fully saturated e. as [E]T