Which value below represents the solution to 64 = 4u

Answers

Answer 1

Answer:

You didnt write the options

Answer 2

Answer:

u=16

Step-by-step explanation:

64=4u

divide both sides by 4

16=u


Related Questions

Need some help with Algebra!

Today's my last day to get missing work in and I currently have an F in Math and I'm just trying to get it up so I don't fail. Help me out? Heres the picture:

Answers

The system represented by the graph is y ≤ 1/2x + 3 and y < -2x + 8

The point (4, 0) is not a solution to the system

Constructing the system represented by the graph

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph there are two inequalities and they are calculated as follows:

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 3

y = mx + 8

Using the points on the graphs, we have

y = mx + 3 ⇒ -6m + 3 = 0 ⇒ m = 1/2

y = mx + 8 ⇒ 4m + 8 = 0 ⇒ m = -2

So, we have

y = 1/2x + 3

y = -2x + 8

Represent as inequalities

y ≤ 1/2x + 3

y < -2x + 8

Is (4, 0) a solution to the system

From the graph the point (4, 0) is out of the shaded region

This means that the point (4, 0) is not a solution to the system

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The following data gives an approximation to the integral M = S'f(x) dx = 2.0282. Assume M = N,(h) + kyha + k_h* + ..., N,(h) = 2.2341, N, then N2(h) = 2.01333 1.95956 0.95957 2.23405

Answers

The value of N₂(h), for the following data gives an approximation to the integral M = [tex]\int\limits^1_0 {f(x)} \, dx[/tex]  N₁(h)= 2.2341 N₁(h/2) = 2.0282 is 0.8754. So, none of the options are correct.

Given that N₁(h)= 2.2341 and N₁(h/2) = 2.0282.

Applying Richardson's extrapolation method, we can find the value of the definite integral M using the formula,

M = N₁(h) + k₂h² + k₄h⁴ + ...

Therefore, we have to find the value of N₂(h).

Here, h = 1 - 0 = 1.

N₂(h) can be obtained by the formula,

[tex]N_2(h) = \frac{(2^2 * N_1(h/2)) - N_1(h)}{2^2 - 1}[/tex] , Substituting the data values we get,

[tex]N_2(h) =\frac{(2^2 * 2.0282) - 2.2341}{2^2 - 1}[/tex]

[tex]N_2(h)= \frac{8.1128 - 2.2341}{3}[/tex]

[tex]N_2(h)=\frac{2.6263 }{3}[/tex]

[tex]N_2(h)=0.8754333 = 0.8754[/tex]

Therefore, none of the option is correct.

The question should be:

The following data gives an approximation to the integral M =  [tex]\int\limits^1_0 {f(x)} \, dx[/tex]  N₁(h)= 2.2341 N₁(h/2) = 2.0282. Assume M = N₁(h) + k₂h² + k₄h⁴ + ... then, N₂(h) =

a. 2.01333

b. 1.95956

c. 0.95957

d. 2.23405

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For the following argument, construct a proof of the conclusion from the given premises, -(3x) (PX Mx), (3x) (Mx Sx) 1:. -(x) (SxPx)

Answers

To construct a proof of the conclusion "-(∀x) (S(x) ∧ P(x))" from the given premises "-(3x) (P(x) ∧ M(x))" and "(3x) (M(x) ∧ S(x))," we can use a proof by contradiction.

We will assume the negation of the conclusion and derive a contradiction. Here's the proof:

-(∀x) (S(x) ∧ P(x)) (Assumption)
(3x) (P(x) ∧ M(x)) (Given premise)
(3x) (M(x) ∧ S(x)) (Given premise)
P(a) ∧ M(a) (Existential instantiation from 2)
M(a) ∧ S(a) (Existential instantiation from 3)
M(a) (Simplification from 5)
P(a) ∧ M(a) (Repetition from 4)
-(P(a) ∧ M(a)) (Negation introduction from 7)
-(P(a) ∧ M(a)) ∧ M(a) (Conjunction introduction with 6 and 8)
-M(a) (Simplification from 9)
P(a) ∧ M(a) (Repetition from 4)
P(a) ∧ M(a) ∧ -M(a) (Conjunction introduction with 10 and 11)
⊥ (Contradiction introduction from 12)
-(∀x) (S(x) ∧ P(x)) (Negation introduction from 1-13)

Therefore, we have derived a contradiction, which allows us to conclude that the negation of the assumption is false. Thus, we can conclude:

-(∀x) (S(x) ∧ P(x))

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Show that the polynomial p(x) = x² +1 € Z3 [x] is irreducible. Let a be a zero of this polynomial and consider the extension Z3(a) = {0, 1, 2, a, 1+a, 2+a, 2a, 1+ 2a, 2 + 2a} = Z3 [x]/(p(x)) Write out the addition and multiplication tables for this field. What is the multiplicative inverse of 2a + 2?

Answers

The multiplicative inverse of 2a + 2 is 2a + 1.

To show that the polynomial p(x) = x² + 1 ∈ Z3[x] is irreducible, we can examine its factors. Since Z3 is a field with three elements {0, 1, 2}, we can substitute each value into p(x) to check for roots. However, none of the elements satisfy p(x) = 0. Therefore, p(x) has no linear factors.

Next, we consider the extension Z3(a) = {0, 1, 2, a, 1+a, 2+a, 2a, 1+2a, 2+2a} = Z3[x]/(p(x)), where a is a zero of p(x). In this field, we can perform addition and multiplication modulo 3.

Addition table:

+ | 0  1  2  a  1+a  2+a  2a  1+2a  2+2a

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

0 | 0  1  2  a  1+a  2+a  2a  1+2a  2+2a

1 | 1  2  a  1+a  2+a  2a  1+2a  2+2a  0

2 | 2  a  1+a  2+a  2a  1+2a  2+2a  0  1

a | a  1+a  2+a  2a  1+2a  2+2a  0  1  2

1+a | 1+a  2+a  2a  1+2a  2+2a  0  1  2  a

2+a | 2+a  2a  1+2a  2+2a  0  1  2  a  1+a

2a | 2a  1+2a  2+2a  0  1  2  a  1+a  2+a

1+2a | 1+2a  2+2a  0  1  2  a  1+a  2+a  2a

2+2a | 2+2a  0  1  2  a  1+a  2+a  2a  1+2a

Multiplication table:

* | 0  1  2  a  1+a  2+a  2a  1+2a  2+2a

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

0 | 0  0  0  0  0  0  0  0  0

1 | 0  1  2  a  1+a  2+a  2a  1+2a  2+2a

2 | 0  2  1  2a  1+2a  2+2a  a  2+a  1+a

a | 0  a  2a  1+2a  2+a  1+a  2+2a  2  1

1+a | 0  1+a  1+2a  2+a  2  a  1  2+2a  2a

2+a | 0  2+a  2+2a  1+a  a  2  1+2a  1  2a

2a | 0  2a  a  2+2a  1  1+2a  2  2+a  1+a

1+2a | 0  1+2a  2+a  2  2+2a  1  2a  a  1+a

2+2a | 0  2+2a  1+a  1  2a  2  1+a  1+2a  a

To find the multiplicative inverse of 2a + 2, we search for an element in the multiplication table that, when multiplied by 2a + 2, results in 1. In this case, the multiplicative inverse is 2a + 1.

Note: The addition and multiplication tables are constructed by performing arithmetic modulo 3 in the field Z3(a) using the given elements.

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Please answer <33 I would lava it :)

Answers

Answer:

5 gallons

Step-by-step explanation:

3/4 + 6/8 + 20/8 + 1

6/8 + 6/8 + 20/8 + 8/8

40/8 = 5 gallons

question 1 (2 points) triangle abc is similar to triangle wyz. select all angles whose cosine equals . question 1 options: angle b angle z angle y angle c angle a angle w

Answers

In triangle ABC, which is similar to triangle WYZ, the angles whose cosine equals are angle B and angle Z.

To determine the angles whose cosine equals, we need to consider the corresponding angles in similar triangles. In similar triangles, corresponding angles have the same measure, but the side lengths may be different. Since triangle ABC is similar to triangle WYZ, angle B in triangle ABC corresponds to angle Z in triangle WYZ. Similarly, angle Z in triangle ABC corresponds to angle B in triangle WYZ. Therefore, angle B and angle Z are the angles in the respective triangles whose cosine equals.

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In this problem, y=c₁ece is a two-parameter family of solutions of the second-order DE y-y-0. Find a solution of the second-order TVP consisting of this differential equation and the given initial conditions. y(-1)=2 y(-1) = -2;

Answers

The solution of the second-order differential equation y'' - y' = 0 with the given initial conditions y(-1) = 2 and y'(-1) = -2 is y(x) = 2e^x - 4e^-x.

To find a solution to the second-order differential equation y'' - y' = 0, we first solve the characteristic equation by assuming a solution of the form y(x) = e^(rx). Plugging this into the differential equation, we get r^2e^(rx) - re^(rx) = 0. Factoring out e^(rx), we have e^(rx)(r^2 - r) = 0. This gives us two possible values for r: r = 0 and r = 1.

For r = 0, the corresponding solution is y₁(x) = c₁, where c₁ is a constant.

For r = 1, the corresponding solution is y₂(x) = c₂e^x, where c₂ is a constant.

To find the particular solution that satisfies the given initial conditions, we substitute the values of x = -1, y(-1) = 2, and y'(-1) = -2 into the general solution. This gives us the equations 2 = c₁ and -2 = c₂e^-1. Solving for c₁ and c₂, we find c₁ = 2 and c₂ = -2e.

Therefore, the solution to the second-order differential equation with the given initial conditions is y(x) = 2e^x - 4e^-x.

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The following chart shows a store?s records of sales of stuffed toys for two months. 2 circle graphs. A circle graph titled September. Teddy bears is 346, rabbits is 297, cats is 199, horses is 245, other is 225. A circle graph titled October. Teddy bears is 308, rabbits is 260, cats is 285, horses is 186, 275 is other. Which of the following are accurate assessments of trends displayed in this graph? I. Sales of teddy bears decreased by about 2.9% between September and October. II. The change in sales of rabbits is roughly equal to the change in sales of all toys. III. Roughly 24.1% fewer horses were sold in October than in September. a. I and II b. II only c. I and III d. III only

Answers

Answer:

d

Step-by-step explanation:

..........

Answer:

d

Step-by-step explanation:

e d g e

I need to find the diameter of a circle and the line in the middle is 3/5 cms

Answers

Answer:

1.2

Step-by-step explanation:

There are 2 lines in the middle of the circle. Im guessing by you saying "The line in the middle" You must mean the radius your trying to find the diameter so, the radius is half of the diameter so to find the diameter you do the radius x 2 in this case 3/5x2 equals 1.2 :)

I Hope this helps!!

Kwans beginning account balance was $20. his ending balance is $0. what integer represents the change in his account balance from beginning to end?

Answers

-20

An integer is any whole number, negative or positive, and since Kwan lost 20 dollars, the answer is -20.

what are three ways you can solve a proportion?

Answers

Answer:

horizontal

vertical

diagonal

Step-by-step explanation:

I guess I only know those.hope it helps you

Plz help me
The points (6, 10) and (5, 7) fall on a particular line. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

NO LINKS

Answers

Answer:

Finding the equation using the two points is: y=3x-8

The slope is: m=3

The slope and y-intercept is: 3, (0,-8)

Step-by-step explanation:

I put all of these answers because i was basically fully confused by the wording of this question.. Sorry.

A pencil holder in the shape of a cylinder has the dimensions shown in the diagram 20. Which of the following is the closest to the volume of the cylinder, in cubio H 907 cm F 209 cm G 3,627 cm 4,773 cm​

Answers

Answer:

my best guess would be H

Step-by-step explanation:

I hope this helped and if you have more details that could help me get to a more appropriate answer pls comment them and I'll do my best to help but like I said with what you provided my best guess would be H

Find the distance between the two points rounding to the nearest tenth (if necessary). (-1,8) and (8,5)​

Answers

Your answer to is 9.5

Find the x-intercept(s) Round to nearest hundredth if needed y=-2x^2-8x-4​

Answers

y=-2x^2-8x-4

-2x^2-8x=4

divide by negative 2

x^2+4x=-2

complete the square

(x+2)^2=-2+4

(x+2)^2=2

x+2=±[tex]\sqrt{2}[/tex]

x=-2±[tex]\sqrt{2}[/tex]

nearest hundreths,

x=-0.59

x=-3.41

what is the midline equation of y= 7sin (3pi/4 x - pi/4) +6

Answers

Answer: 6

Step-by-step explanation:

Answer: y=6

Step-by-step explanation:

Let A = {1,3,5,7). B = {5, 6, 7, 8). C = {5, 8} D = (2,5,8), and U = {1,2,3,4,5,6,7,8). Determine whether the expression shown below is true or false. If it is false, then give the reaso DCB . O A. False; the sets must have the same number of elements. B. False; all elements in D are not in B O C. True OD. False; all elements in D are in B O E. None of the above

Answers

The statement is False.

Let A = {1,3,5,7). B = {5, 6, 7, 8). C = {5, 8} D = (2,5,8), and U = {1,2,3,4,5,6,7,8).

To determine whether the expression DCB is true or false, we need to know the content of these sets.

To determine the content of DCB:

DCB contains all elements of D, all elements of C, and all elements of B except those that are already in D and C.

D = {2,5,8} C = {5, 8} B = {5,6,7,8}

DCB = {2,5,8,6,7}

Thus, DCB is false because not all elements in D are in B, and all elements in D are not in B.

Therefore, the answer is option B.False; all elements in D are not in B.

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rebecca’s electric bill is a variable expense. what is the average amount she pays for electricity if she paid $135 in december, $129 in january, $99 in february, $120 in march and $140 in april?

Answers

The average amount Rebecca pays for electricity based on the given data is $124.60.

To calculate the average, we add up the amounts she paid in each month and then divide by the total number of months. In this case, the sum of her payments is $135 + $129 + $99 + $120 + $140 = $623. Dividing this sum by the total number of months (5), we get an average of $623 / 5 = $124.60. Calculating the average helps us determine the typical amount Rebecca pays for electricity based on the given data. It provides an overall picture of her average expenses in the specified period.

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you have a ramp that is 2.5 meters long. its height is 30 centimeters. what is the angle of your ramp?

Answers

To determine the angle of the ramp, we can use trigonometry and calculate the inverse tangent (arctan) of the ratio of the height to the length of the ramp.

Given a ramp length of 2.5 meters and a height of 30 centimeters (0.3 meters), the angle of the ramp is approximately 6.87 degrees. The angle of the ramp can be found using the formula: angle = arctan(height/length). By substituting the values, we get angle = arctan(0.3/2.5).

Using a calculator or math software to evaluate the arctan of this ratio, we find that the angle is approximately 6.87 degrees. This means that the ramp has a relatively gentle incline, indicating a low slope or gradient. Knowing the angle of the ramp can be useful in various applications, such as construction, accessibility planning, or determining the safety of the slope for specific purposes.

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Pls help and thank youuuuu:)

Answers

Answer:

22

Step-by-step explanation:

according to your question

Find measure of angle A

Answers

Answer:

angel a is 65 degrees

Step-by-step explanation:

40+2x+10=180

40-40+2x+10-10=180-40-10

2x=130

x=65

checking:

65 + 10 + 40 = 75 + 40 = 115

115+65=180

180=180

The owner of a tree farm plants pine trees and oak trees in a ratio of 8:3. How many oak trees are planted if 264 pine trees are planted

Answers

Answer:

99 oak trees

Step-by-step explanation:

Given data

Ratio= 8:3

Number of pine tree= 264

Let the number of oak trees be x

Let us apply the part to part method

8/264= 3/x

cross multiply

264*3= 8x

792=8x

x= 792/8

x=99 oak trees

The owner of the tree farm planted 99 oak trees.

An equation is an expression used to show the relationship between two or more numbers or variables.

Given that a farmer plants pine trees and oak trees in a ratio of 8:3. If 264 pine trees are planted, let y represent the total number of trees hence:

264 = (8/11) * y

y = 363 trees

Number of oak trees = (3/11) * 363 = 99 trees

Therefore the owner of the tree farm planted 99 oak trees.

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Hello um I need help if anyone could help me with this that would be perfect:))!!

Answers

Answer:

1. If D= whole numbers then the answer is B.0 if it is integers the answer is A.-10

2. The answer is D. That number is an irrational number.

Step-by-step explanation:

Im pretty sure that #1 is B.0, but since there are no labels and i haven't done this in a while, I wasn't quite sure. Sorry.

In the diagram linem is parallel to linen
with a transversal linet.
Which of the below terms best describe
the relationship between <3 and <4?

Answers

Answer:

Alternate exterior angles

Step-by-step explanation:

If they shared a vertex, they would be vertical angles, but since they are on different lines, and alternate sides, the dark blue (alternate exterior angles) answer is correct.

jada walks at a speed of 3mph. elena walks at a speed of 2.8 mph. if they both begin walkign along a walking trail at the same time, how much father will jada walk adter 3 hours

Answers

Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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Solve the equation -3x^2+2x+4= -x-3 by writing a linear-quadratic system and solving using the intersection feature of a graphing calculator. Round to the nearest hundredth
A. x= -2.44 and x=3.12
B. x=-1.63 and x=4.44
C. x=-1.11 and x=2.11
D. x=-2.61 and x=0.42

Answers

The solution to the equation -3x^2 + 2x + 4 = -x - 3 is x = -2.44 and x = 3.12. Therefore, the correct option is A.

To solve the equation -3x^2 + 2x + 4 = -x - 3, we can rewrite it as a quadratic equation by combining like terms: -3x^2 + 3x + 7 = 0. This equation represents a quadratic function in the form of ax^2 + bx + c = 0, where a = -3, b = 3, and c = 7.

Using a graphing calculator, we can plot the function and find the x-intercepts, which represent the solutions to the equation. The intersection feature of the graphing calculator can help determine the coordinates of the points where the graph intersects the x-axis. Rounding to the nearest hundredth, we find that the solutions to the equation are x = -2.44 and x = 3.12.

Therefore, the correct answer is option A: x = -2.44 and x = 3.12.

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An interval estimate for the average amount of money spent by Australian students on subscription based entertainment platforms in a week was reported to be $32468 to $37224. This interval estimate was based on a sample of 48 students. The variance of the population was determined from previous studies to be $44582179 squared. What level of confidence can be attributed to this interval estimate? State your answer as a percentage, correct to the nearest whole number.

Answers

The level of confidence that can be attributed to the interval estimate is approximately 97%. This means that we can be 97% confident that the true average amount of money spent by Australian students on subscription-based entertainment platforms falls within the range of $32,468 to $37,224.

To determine the level of confidence for the interval estimate, we need to consider the t-distribution and the degrees of freedom associated with the sample size.

Since the sample size is 48, the degrees of freedom would be 48 - 1 = 47. Using a t-distribution table or calculator, we can find that with 47 degrees of freedom, a confidence level of approximately 97% corresponds to a t-value of 2.682.

Since the interval estimate is not explicitly provided, we can assume it to be the range between $32,468 and $37,224.

We have that the t-value is associated with a two-tailed test, the level of confidence for this interval estimate is approximately 97%.

Therefore, we can attribute a confidence level of 97% to this interval estimate, indicating that we can be 97% confident that the true average amount of money spent by Australian students on subscription-based entertainment platforms falls within the given range.

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What is the equation of the line that passes through the point (-6, -8) and has a slope of 1/3

Answers

Answer:

x^2 = (28)^2 + (45)^2

= 784 + 2025

= 2809

x = 53

The equation of the line is y = (1/3)x - 6.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is y = mx + c.

Now,

m = 1/3

And,

(-6, -8) = (x, y)

So,

y = mx + c

-8 = 1/3 x -6 + c

-8 = -2 + c

-8 + 2 = c

c = -6

Now,

y = mx + c

y = (1/3)x - 6

Thus,

The equation of the line is y = (1/3)x - 6.

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"

Suppose X is normally distributed with a mean of u = 11.5 and a standard deviation of o = 2. Find the probability of X > 15.14. Show your work.
"

Answers

The probability of X > 15.14 is approximately 0.0344 or 3.44%.

To find the probability of X > 15.14, we need to calculate the area under the normal distribution curve to the right of 15.14.

First, we need to standardize the value 15.14 using the formula:

Z = (X - [tex]\mu[/tex]) / o

where Z is the standardized value, X is the given value, [tex]\mu[/tex] is the mean, and o is the standard deviation.

In this case:

Z = (15.14 - 11.5) / 2

  = 3.64 / 2

  = 1.82

Next, we need to find the area under the standard normal distribution curve to the right of Z = 1.82. This can be done using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we find that the area to the right of Z = 1.82 is approximately 0.0344.

Therefore, the probability of X > 15.14 is approximately 0.0344 or 3.44%.

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Need your help answer correctly for 20 points! <3

Answers

12.50 dollars per hour

Answer:

$12.50

Step-by-step explanation:

Hi,

Cassie: 250 / 20 = 12.5

Marli: 312.50 / 25 = 12.5

Brad: 350 / 28 = 12.5

Each worker makes $12.50 per hour.

I hope this helps :)

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How many solutions does this equation have? 9z = 8 + 7z-no solution -one solution-infinitely many solutions FILL in the blank:AB E M nxn (R) (i) det (A.B) = ____________ . (ii) A is invertible if and only if _____________ . The highest temperature in Las Vegas is 125 degrees Fahrenheit and the lower recorded temperature in Las Vegas is 50 degrees Fahrenheit below zero what is the difference between these two temperatures How did a series of weak emperors affect the Han dynasty?Foreign powers were able to take control of large areas.Rivalries between powerful landowners divided the empire.Multiple heirs of the emperors created competition for the throne.Local leaders used bribery to gain power to challenge the throne. What happens when an object is moved against gravity, such as rolling a toy car up aramp?a. Potential energy does not changeb. Potential energy decreases as it is transformed into kinetic energyc. Kinetic energy does not changed. 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I need Sin Z, Tan z, and Cos Z A continuous random variable is said to have a Laplace(, b) distribution if its probability density function is given byfX(x)= 1 exp(|x|), 2b bwhere is a real number and b>0.(i). If X Laplace(0,1), find E(X) and Var(X).(ii). If X Laplace(0,1) and Y = bX + , show Y Laplace(, b). (iii). If W Laplace(2,8), find E(W) and Var(W). JUST ANSWER NUMBER 3 PLEASE what is the price of a $600 bike 15% off Why was Kwame Nkrumah in Ghana a part of the non-alignment movement? Which personality disorders was fromerly known as sociopathic? One kilogram is approximately 2.2 pounds. Write a direct variation equation that relates x kilograms to y pounds. Discussing Integrative versus Distributive BargainingNegotiation Strategies, Critically discuss hypothetical situationswhere either style of negotiation would not be effective within thecontext of AM and FM stand for two different processes that are used to code voices and music for transmission. What does AM stand for? 1. Amplitude Modulation 2. Amplitude Mediation A The Brite Beverage Company bottles soft drinks into aluminum cans. The manufacturing process consists of three activities: 1. Mixing: water, sugar, and beverage concentrate are mixed. 2. Filling: mixed beverage is filled into 12-oz. cans. 3. Packaging: properly filled cans are boxed into cardboard "fridge packs." The activity costs associated with these activities for the period are as follows: Mixing $515,000 Filling 457,000 Packaging 228,000 Total $1,200,000 The activity costs do not include materials costs, which are ignored for this analysis. Each can is expected to contain 12 ounces of beverage. Thus, after being filled, each can is automatically weighed. If a can is too light, it is rejected, or "kicked," from the filling line prior to being packaged. The primary cause of kicks is heat expansion. With heat expansion, the beverage overflows during filling, resulting in underweight cans. 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Read the following passage, which contains a shift in tone:One of the main reasons the Great Depression started was that afterthe stock market crashed and the banks started to fail, people freakedout and stopped buying st|ff. When people stop buying stuff, less stuffis made, and there go theils, meaning even less buying. Thisunfortunate spiral helped plunge the nation into bad times.Which of the following revisions best corrects the shift in tone and maintainsa formal style throughout?