IMPORTANT! ANSWER QUESTION NOW. Will award brainliest. Find the value of x. Give reasons to justify your solution.

IMPORTANT! ANSWER QUESTION NOW. Will Award Brainliest. Find The Value Of X. Give Reasons To Justify Your
IMPORTANT! ANSWER QUESTION NOW. Will Award Brainliest. Find The Value Of X. Give Reasons To Justify Your

Answers

Answer 1

Answer:

48 degrees for A and 7 12 degrees for B

Step-by-step explanation:

As you can see in the first picture, C and x share the same angle and the angle is 48 degrees. On the second picture the answer is 12 because 3*4=12.


Related Questions

BRAINLIEST TO FIRST RIGHT ANSWER The coefficients of the first three terms in the expansion of (x – y) 4 are a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5

Answers

Answer:

b) 1, -4, 6

Step-by-step explanation:

(x-y)^4=

(x-y)(x-y)(x-y)(x-y)=

(x^2-xy-xy-y^2)(x^2-xy-xy-y^2)=

(x^2-2xy-y^2)(x^2-2xy-y^2)=

x^4-4x^3y+6x^2y^2-4xy^3+y^4

3x2 +4=0 whats the answer?

Answers

Answer:

False

Step-by-step explanation:

3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations

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                Hi my lil bunny!

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Lets do this step by step.

Simplify [tex]\frac{3x - 2}{x} -4[/tex].

To write -4 as a fraction with a common denominator, multiply by [tex]\frac{x}{x}[/tex]

[tex]\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0[/tex]

Combine  -4 and [tex]\frac{x}{x}[/tex].

[tex]\frac{3x - 2}{x} + \frac{-4x}{x} > 0[/tex]

Combine the numerators over the common denominator.

[tex]\frac{3x - 2 -4x}{x} > 0[/tex]

Subtract 4x from 3x.

[tex]\frac{-x -2}{x} > 0[/tex]

Factor -1 out of -x.

[tex]\frac{-(-x) -2}{x} >0[/tex]

Rewirte -2 as -1 (2).

[tex]\frac{-(x -1 (2)}{x} > 0[/tex]

Factor -1 out of - (x) - 1 (2).

[tex]\frac{-(x + 2)}{x} >0[/tex]

Simplify the Expression.

_______________

Rewrite - ( x + 2 ) as -1 ( x + 2 ) .

[tex]\frac{-1 ( x+ 2)}{x} > 0[/tex]

Move the negative in front of the fraction.

[tex]- \frac{x + 2}{x} > 0[/tex]

Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0  and solving.

[tex]x = 0\\x + 2 = 0[/tex]

Subtract 2 from both sides of the equation.

[tex]x = -2[/tex]

Solve for each factor to find the values where the absolute value expression goes from negative to positive.

[tex]x = 0 \\x = -2[/tex]

Consolidate the solutions.

[tex]x = 0, -2[/tex]

________________

Find the domain of [tex]\frac{3x - 2}{x} -4[/tex]

_________________

Set the denominator in [tex]\frac{3x - 2}{x}[/tex]  equal to 0 to find where the expression is undefined.

[tex]x = 0[/tex]

The domain is all values of x that make the expression defined.

( - ∞, 0 ) ∪ ( 0 , ∞)

Use each root to create test intervals.

[tex]x < -2 \\-2 < x < 0 \\x > 0[/tex]

|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|

Test a value on the interval -2 < x < 0 to see if it makes the inequality true.

Ans : True

Test a value on the interval x > 0 to see if it makes the inequality true.

Ans : False

Test a value on the interval x < -2  to see if it makes the inequality true.

Ans : False

Compare the intervals to determine which ones satisfy the original inequality.

[tex]x < -2 = False\\-2 < x < 0 = True\\x > 0 = False[/tex]

The solution consists of all of the true intervals.

[tex]-2 < x < 0[/tex]

The result can be shown in multiple forms.

Inequality Form: [tex]-2 < x< 0[/tex]

Interval Notation: [tex]( -2 , 0 )[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Match the number with its opposite.

Answers

Answer:

3.2 matches with (A) -3.3

-2.3 matches with (C) 2.3

-1.5 matches with (B) 1.5

5.1 matches with (D) -5.1

3.2 matches with -3.2,-2.3 matches with 2.3, -1.5 matches with 1.5 and 5.1 matches with -5.1.

Write an equation and solve it to answer each question:
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.

You have to Answer like this:
If there are x nickels, then the equation is______
The number of nickels is_____
the number of dimes is______

Answers

Answer:

there are 25 nickels and 30 dimes

(1 mark)
13.
The time to finish a certain work decreases as the number of worker increases
in number. What kind of proportion is illustrated in the situation?​

Answers

Answer:

Inverse proportion

Step-by-step explanation:

Inverse proportion: in this type of relation, two quantities proportion such that one decreases and other increases or vice-versa.

So, in the given question when the number of workers increases, time is taken for certain work decreases.

So, Inverse proportion is the correct answer.

Hi. Please i need help with these questions ; 1. I spent 7/32 of my income housing , 1/4 of it on food and 1/8 of it on transport . What fraction of my income do i have left a . 7/32 b 9/32 c. 13/32 d. 15/32 e. 19/32 workings please

Answers

Answer:

C: 13/32

Step-by-step explanation:

Change 1/4 and 1/8 into 4/32 and 8/32 and add them up with the 7/32 and then subtract the top and you have your answer

Answer:

13/32 left over.

Step-by-step explanation:

First, you would want to convert the 1/4 and 1/8 to ?/32. You would get: 7/32 on housing, 8/32 on food, and 4/32 on transportation.

To get those numbers this is what you do: 1/4 was spent on food. 32 divided by 4 is 8. So that would be 8/32. I hope you understand, because I'm not that good at explaining!

Then you add those up: 7/32 + 8/32 + 4/32. You would get 19/32 as your total, which means you have 13/32 left over. I hope this helped!

QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.

Answers

Step-by-step explanation:

Do you mean (5-4)*(25) or 5-4(25)

(5-4) * (25)

= 5^2

Or

5-4(25)

=5 - 100

=-95

?

anyone knows this? thanks

Answers

Answer:

B. 15:1

Step-by-step explanation:

30/2=15/1

45/3=15/1

60/4=15/1

75/5=15/1

Hope this helps ;) ❤❤❤

The correct answer is B

Which of the following relations is not a function? x y 0 1 1 4 -1 4 x y 0 2 1 3 1 -3 x y 0 -2 1 -3 -2 5 x y 0 -2 1 -2 2 -2

Answers

Answer:

-1 4 x y

Step-by-step explanation:

Which system of equations represents the matrix shown below?
11
2 -18
0 3 15
-2 4 18
1
x + 2y + Z-8
O A. x+y+3z = 15
x + 2y + 4z = 18
x+2y - z- 8
B. -x +32 - 15
x - 2y + 4z = 18
X+2y- Z=8
O C. -X+ y + 3z = 15
X-2y + 4z = 18
x+2y + z = 8
D. X+37 = 15
x +2y + 4z = 18

Answers

Answer:

its b.

Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = 66°

please help attachment

Answers

Answer:

v = 7

Step-by-step explanation:

a. v = 5x + 2y

= 5 × 3 + 2 × -4

= 15 + -8

= 7

Sorry I know only the A one anyways , hope this helps :)

Answer:

Step-by-step explanation:

a  v = 5x+ 2y = 5*3 + 2*-4 = 7

b 3p(p+5) = 3p^2 =15p

c 4k = 44

k=44/4 =11

i hope the person who had deleted my answer this much explanation is only required if not please say so that I can correct myself by ellaborating ...

helppppppp (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?

Answers

Answer:

the data are skewed, D.

Step-by-step explanation:

Write a word phrase that represents x + 5.

Answers

Answer:

5 added to a number, x.

Step-by-step explanation:

I phrased it like other ones I saw before so... :) (Also if you ask someone to write it, I'm sure they'd get x+5)

Answer:5 added to a number, x

Step-by-step explanation:

question 9: consecutive angles in a parallelogram are___ A: cute B: congruent C: parallel D: Supplementary E: Convex

Answers

Answer:

Consecutive angles in a parallelogram are, D supplementary.

Step-by-step explanation:

Consecutive angles in a parallelogram will always sum to 180 degrees.

Answer:

Supplementary

Step-by-step explanation:

Correct answer in Ap3x. Just took the quiz.

A line passes through the point (6,1)and has a slope of 3/2. write an equation in slope intercept form

Answers

Answer:

Step-by-step explanation:

Slope intercept form :  y - y1 = m(x -x1)

m = 3/2

(x1, y1) = (6, 1)

[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]

Answer:

y=3/2 x  -8

Step-by-step explanation:

The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got

y=3/2x-8


The lengths of the sides of a triangle are in the ratio of 6:6:5. The perimeter of the triangle
is 34 centimeters. Find the length of each side of the triangle.

Answers

Hello!

Answer:

12 cm, 12 cm, 10 cm.

Step-by-step explanation:

Given:

Perimeter, or P = 34 cm

Ratio of sides = 6 : 6 : 5

To find the length of each side, we can use a variable in the ratio to find the perimeter:

34 = 6x + 6x + 5x

Combine like terms:

34 = 17x

Solve for x:

34/17 = 17x/17; x = 2

Plug in this value of "x" into each expression for the side-lengths:

6(2) = 12 cm

6(2) = 12 cm

5(2) = 10 cm

Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.

Hope this helped you! :)

Answer:

12, 12 and 10 cm.

Step-by-step explanation:

6 + 6 + 5 = 17

So one side = 6/17 * 34 = 12 cm

One other side is also 12 cm

The third side = 5/17 * 34 = 10 cm.

5. a) A business company made a profit of Rs 24,00,000 in the last year. The management decided to distribute 20 % bonus from the profit to its 30 employees.

( i ) Find the bonus amount received by each employee.

(ii) By what percent should the bonus be increased so that each employee can receive Rs 20,000?

(iii) What should be the profit of the company so that it can provide Rs 20,000 to each employee at 20 % bonus?

Answers

Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

Answer:

1.Rs.16000

2.Bonus rate:25%

3.profit:Rs.3000000

Step-by-step explanation:

Case 1

Profit=Rs.2400000

Bonus Rate:20%

No.of employees =30

Now,

Bonus = (Bonus Rate of Profit) / no. Of employees

= 20% of Rs.2400000 / 30

= Rs. 16000

Case 2

Bonus=Rs.20000

Profit=Rs.2400000

Bonus rate=?

Now,

Bonus=bonus rate of profit / no. Of employees

Or,Rs. 20000 = Bonus rate × Rs. 2400000/30

Or, Rs. 20000=Bonus rate × Rs. 80000

Or,Rs.20000/Rs.80000 = Bonus rate

Bonus rate = 1/4=25%

Case 3

Bonus=Rs.20000

Bonus Rate = 20%

Now,

Bonus = bonus Rate of profit / no.of employees

Or, Rs. 20000 = 20% × Profit / 30

Or, Rs. 20000 × 30 / 0.2 = profit

Profit= Rs. 3000000

I hope it helped you

Write the equations after translating the graph of y = | 1 /2 x−2|+3 one unit down,

Answers

Answer:

[tex]y=|\frac{1}{2} x-2|+2[/tex]

Step-by-step explanation:

If your original function is:

[tex]y=|\frac{1}{2} x-2|+3[/tex]

the translation of its graph vertically down one unit, can be obtained by simply subtracting 1 from the whole functional expression:

[tex]y=|\frac{1}{2} x-2|+3-1=|\frac{1}{2} x-2|+2[/tex]

The answer would be Y=1/2x-2 +2
Have a nice day

Rose is making necklaces. She needs 7 sapphires and 6 rubies to make one necklace. Complete the double number line diagram to show the numbers of rubies and sapphires Rose needs to make 1 , 2 3 and 4 necklaces.

Answers

Answer:

B

Step-by-step explanation:

HEYY! REALLY SIMPLE QUESTION : ) …..the strange creature moved slowly making terrifying sounds. It looked around…. (Write a story using the following cues somewhere in the story) I JUST NEED SUM IDEAS PLS : ) also ik this is not a math question but oh well I guess..... THANK U!

Answers

Answer:

so u could write about its teeth

Step-by-step explanation:

and its legs or its scary presence or its long arms and it erupted from a haunted house

hope this helps : )

i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest

suddenly it stared dead onto stacy ...the creature smelled her strawberry shampoo anyone can really-

A sample of 120 local residents reveals that 8 have a post office box for receiving mail. What is the relative frequency that a local resident does not have a post office box for receiving mail?

Answers

Answer:

[tex]\frac{1}{15}[/tex] or 6.67%

Step-by-step explanation:

In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.

Now, the probability P(A) of an event A happening is given by;

P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]

From the question;

The event A is the situation of local residents having a post office box. Therefore the;

number-of-outcomes-in-the-event-A = 8   [since only 8 of the local residents have a post office box]

number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]

Therefore,

P(A) = [tex]\frac{8}{120}[/tex]

P(A) = [tex]\frac{1}{15}[/tex]

The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]

PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:

[tex]\frac{1}{15} * 100%[/tex]% = 6.67%

please hurry write a vector equation of a line that passes through p(-4,12) and is parallel to q=(14,-8)

Answers

The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

So the line we want has equation

r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)

where t is any real number.

The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

What is a vector equation?

A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.

Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

r(t) = q*t + p

r(t) = (14, -8)t + (-4, 12)

r(t) = (14t - 4, 12-8t)

where t is any real number

Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

Learn more about vector equations on:

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Isabella filled her pool with water at a constant rate. The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes).

Time (m) Remaining Volume (L)
4 148
6 112
8 76

What is the size of her pool?

Answers

Answer:

It was kinda hard to really understand your question but as of all the information that I received the answer is 220 liters

Step-by-step explanation:

what is the area of 1/4 of a circle with a radius of 10

Answers

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

What is the area of a circle?

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

Learn more about finding the circumference and area of a circle here:

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simplify the expression
[tex]8p + 10 + - 2p - 1 + 10[/tex]

Answers

Answer:

6p+19

Step-by-step explanation:

combine like terms:

8p+10+-2p+-1+10

(8p+-2p)+(10+-1+10)

6p+19

HOPE THIS HELPS!!!!!!:)

Right isosceles triangles are constructed on the sides of a 3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is [tex]\frac{X+Y}{Z}[/tex]

Answers

Answer:

1

Step-by-step explanation:

because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5

the area of X is 4.5

the area of y is 8

(8+4.5)/(12.5) = 1

A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.

Answers

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

I need a quick response! Please help!

A park ranger sees a fire from an observation deck 120 feet high. The fire is at an angle of
depression 2.5 degrees. How far is the fire from base of the observation deck ?

Answers

Answer: 2748.5 feet

Step-by-step explanation:

Given that the

Height h = 120 feet.

angle of depression = 2.5 degrees

The angle of depression is equal to the angle of elevation.

The base of the observation deck will be achieved by using trigonometry ratio.

Tan Ø = opposite/ adjacent

Opposite = height = 120 feet

Adjacent = base = ?

Substitutes the given parameters into the trigonometry ratio.

Tan 2.5 = 120 / adjacent

Adjacent = 120 / tan 2.5

Adjacent = 2748.452

Therefore, the base of the observation deck is 2748.5 feet

The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. The sum of the base angles is 140°. a. Find the length of the diagonal. b. Find the length of the shorter base. Round your answers to the nearest hundredth. show work please!

Answers

Answer:

Step-by-step explanation:

as the non parallel sides are equal and it is a trapezoid.∴ base angles are equal.each base angle=1/2×140=70°let the foot of perpendicular from end of shorter side is at distance x from nearest end of longer side.[tex]\frac{x}{7}=cos ~70\\x=7 \times cos~70 \approx 2.394\\2x \approx 4.788 \approx 4.79\\[/tex]shorter side=22-4.79=17.21 ftto find diagonal use cos formula[tex]cos ~70=\frac{22^2+7^2-d^2}{2*22*7} \\308 cos~70=484+49-d^2\\d=\sqrt{533-308~cos~70} \approx~20.68\\where ~d~is~diagonal.[/tex]d=20.68 ft

a. The length of the diagonal is approximately 15.74 feet.

b. The length of the shorter base is approximately 27.77 feet.

a. To find the length of the diagonal (d), we can use the given information and the formulas mentioned. Let's substitute the values into the formula:

h = (7/2) * tan(140°)

h ≈ (7/2) * (-1.376381920471173)

h ≈ -4.796335681196056

Now, substitute the values into the formula for the diagonal:

[tex]d = \sqrt{(22 - x)^2 + [(7/2) * tan(140\°)]^2}\\\\d = \sqrt{(22 - 7)^2 + [(-4.796335681196056)]^2}\\\\d = \sqrt{15^2 + 23.011228900189124}\\\\d = \sqrt{225 + 23.011228900189124}\\\\d = \sqrt{248.011228900189124}\\\\d = 15.74[/tex]

Therefore, the length of the diagonal is approximately 15.74 feet.

b. To find the length of the shorter base (b), we can use the given information and the law of cosines:

[tex]b^2 = 7^2 + 22^2 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 49 + 484 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 533 - 308 * cos(140\°)\\\\b^2 = 533 - 308 * (-0.766044443118978)\\\\b^2 = 533 + 236.924\\\\b^2 = 769.924\\\\b = 27.77[/tex]

Therefore, the length of the shorter base is approximately 27.77 feet (rounded to the nearest hundredth).

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Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.

Answers

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Other Questions
Write the equation of a line through the given point with the given slope (0,6);m undefined Bagwell's net income for the year ended December 31, Year 2 was $175,000. Information from Bagwell's comparative balance sheets is given below. Compute the cash paid for dividends during Year 2. At December 31 Year 2 Year 1 Common Stock, $5 par value $500,000 $450,000 Paid-in capital in excess of par 948,000 853,000 Retained earnings 688,000 582,000 A. $95,000. B. $201,000. C. $69,000. D. $79,000. E. $50,000. HELP ME ON THIS ONE PLZ NEED ANSWERSWhat is the domain and range of each relation?Drag the answer into the box to match each relation.{(7,2),(2,2),(0,1),(4,5)}A mapping diagram. Element x contains negative 4, negative 3, negative 1, and 1. Element Y contains negative 3, negative 1, and 4. Negative four maps to negative 1. Negative three maps to negative 3 and 4. Negative one maps negative 1. One maps to 4. I really need help!! What is the cash and carry amendment to the Neutrality Acts? A. The US will sell arms, as long as countries pay cash and provide their own transport B. US ships carrying goods to other countries are allowed to attack threatening ships C. The US can declare war, but only if attacked first D. The US will sell arm, but not to members of the Axis countries help me meeeeeeeeeeee You are a project manager for Laredo Pioneer's Traveling Rodeo Show. You're heading up a project to promote a new line of souvenirs to be sold at the shows. You are getting ready to write the project management plan and know you need to consider elements such as policies, rules, systems, relationships, and norms in the organization. Which of the following is not true? A These describe the authority level of workers, fair payment practices, communication channels, and the like. B This describes organizational governance framework. C This describes management elements. D This is part of the EEF input to this process. Use Demoivres Theorem to find (-square root 3 +i)^6 Nongovernmental organizations are usually willing to quickly align themselves with intervening military forces in order to ensure their ability to achieve their objectives and for their physical security.a) trueb) false The sequence of increasing grades of metamorphism of a mudstone (shale, claystone, or siltstone) parent rock (protolith) is: slate (lowest grade), phyllite, schist, gneiss (highest grade).1. Describe the change in grain size from slate to schist 2. How does the texture of phyllite differ from that of schist? 3. Why do you think that the micas (lat minerals) in these rocks are all parallel, r nearly so, to one another? Determine how many litres of water will fit inside the following container. Round answer and all calculations to the nearest whole number. The hidden area of the Johari Window addresses: A. What others know about you that you do not know yourself. B. What you know about yourself but hide from others. C. What others know about you and what you know about yourself. D. What you know about everyone else. If a small drop of tiny particles such as pollen grains are dropped into a drop of water on a microscope slide, they will appear to vibrate and spread out. The primary reason for this is Conducir meansO to writeO to driveO to escapeO to comment Write a letter to your principal requesting him to grant you leave for ten days as you have to attend your brothers marriage. A student obtained a clean flask. She weighed the flask and stopper on an analytical balance and found the total mass to be 34.232 g. She then filled the flask with water and found the new mass to be 60.167 g. The temperature of the water was measured to be -6+4q+(-6q)6+4q+(6q)minus, 6, plus, 4, q, plus, left parenthesis, minus, 6, q, right parenthesis ? If the blue radius below is perpendicular to the green chord and the segmentAB is 8.5 units long, what is the length of the chord?AA. 8.5 units8.5BO B. 17 unitsO C. 34 unitsO D. 4.25 units A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to 20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data result is: Mean Standard deviation 1.15 0.11 For the 20-mil film the data yield: Mean Standard deviation 1.06 0.09 *Note: An increase in film speed would lower the value of the observation in microjoules per square inch. We may also assume the speeds of the film follow a normal distribution. Use this information to construct a 98% interval estimate for the difference in mean speed of the films. Does decreasing the thickness of the film increase the speed of the film? Unit of account is the function of money: that provides a common measurement of the relative value of goods and services. that shows the acceptability of money in exchange for goods and services. that shows the portability of money. that shows the ability of money to hold value over time. Flapjack Corporation had 7,600 actual direct labor hours at an actual rate of $12.41 per hour. Original production had been budgeted for 1,100 units, but only 950 units were actually produced. Labor standards were 7.0 hours per completed unit at a standard rate of $13.00 per hour. The direct labor time variance is