(a) Find ged(18675, 20112340) (b) Factor both numbers from (b) above. (c) Find the lem of the two numbers from (b) above.

Answers

Answer 1

The lem of 18675 and 20112340 is 2^2 * 3^2 * 5^2 * 7 * 83 * 143659.

(a) To find the greatest common divisor (GCD) of 18675 and 20112340, we can use the Euclidean algorithm. The algorithm involves repeatedly dividing the larger number by the smaller number until the remainder becomes zero.

Using the Euclidean algorithm:

20112340 = 1074 * 18675 + 12590

18675 = 1 * 12590 + 6095

12590 = 2 * 6095 + 4000

6095 = 1 * 4000 + 2095

4000 = 1 * 2095 + 1905

2095 = 1 * 1905 + 190

1905 = 10 * 190 + 15

190 = 12 * 15 + 10

15 = 1 * 10 + 5

10 = 2 * 5 + 0

Since the remainder is now zero, the GCD is the last non-zero remainder, which is 5.

Therefore, ged(18675, 20112340) = 5.

(b) To factor the numbers 18675 and 20112340, we can find their prime factorizations.

Prime factorization of 18675:

18675 = 3^2 * 5^2 * 83

Prime factorization of 20112340:

20112340 = 2^2 * 5 * 7 * 143659

(c) To find the least common multiple (LCM) of 18675 and 20112340, we can use the prime factorizations obtained in the previous step.

The LCM is the product of the highest powers of all the prime factors involved.

Prime factors in the LCM:

2^2 * 3^2 * 5^2 * 7 * 83 * 143659

Therefore, the lem of 18675 and 20112340 is 2^2 * 3^2 * 5^2 * 7 * 83 * 143659.

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Related Questions

Identify the coefficient in the following expression 6a +7​

Answers

Answer:

The coefficient is 6

Step-by-step explanation:

identify the slope and y-intercept of the lins given by the equation y=2x 1.

Answers

Answer 2 I took the test

Solve the system of differential equations s = Ly' - 29x + 42y – 20x + 294 = x(0) = – 15, y(0) = == - 11 The lesser of the two eigenvalues is Its corresponding eigevector is (a, – 2). What is a? a = The greater of the two eigenvalues is Its corresponding eigevector is ( – 7,6). What is b? b = = The solution to the system is x(t) = = y(t) =

Answers

The lesser of the two eigenvalues is λ = -1. Its corresponding eigenvector is [-42 29].

The greater of the two eigenvalues is λ = 1. Its corresponding eigenvector is [42 29].

To solve the system of differential equations:

x' = -29x + 42y

y' = -20x + 29y

We can rewrite it in matrix form as follows:

X' = AX

where X = [x y] is a vector, X' represents the derivative of X with respect to time, and A is the coefficient matrix. In this case, A is given by:

A = [ -29 42 ]

[ -20 29 ]

To find the eigenvalues and eigenvectors, we need to solve the characteristic equation:

det(A - λI) = 0

where λ is the eigenvalue and I is the identity matrix. Solving this equation will give us the eigenvalues, and by substituting these eigenvalues back into the equation (A - λI)V = 0, where V is the corresponding eigenvector, we can find the eigenvectors.

Let's calculate the eigenvalues first. We have:

A - λI = [ -29 42 ]

[ -20 29 ] - λ [ 1 0 ]

[ 0 1 ]

Expanding the determinant, we get:

(-29 - λ)(29 - λ) - (42)(-20) = 0

(λ + 29)(λ - 29) + 840 = 0

λ² - 29² + 840 = 0

λ² - 841 + 840 = 0

λ² = 1

λ = ±1

So the eigenvalues are λ = 1 and λ = -1.

To find the corresponding eigenvectors, we substitute each eigenvalue back into the equation (A - λI)V = 0.

For λ = 1, we have:

[ -29 42 ] [ v₁ ] [ 0 ]

[ -20 29 ] [ v₂ ] = [ 0 ]

This gives us the following system of equations:

-29v₁ + 42v₂ = 0

-20v₁ + 29v₂ = 0

Solving this system, we find that v₁ = 42 and v₂ = 29.

Therefore, the eigenvector corresponding to the eigenvalue λ = 1 is [42 29].

For λ = -1, we have:

[ -29 42 ] [ v₁ ] [ 0 ]

[ -20 29 ] [ v₂ ] = [ 0 ]

This gives us the following system of equations:

-29v₁ + 42v₂ = 0

-20v₁ + 29v₂ = 0

Solving this system, we find that v₁ = -42 and v₂ = 29.

Therefore, the eigenvector corresponding to the eigenvalue λ = -1 is [-42 29].

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Complete Question:

Solve the system of differential equations

x' = -29x + 42y

y' = -20x + 29y

x(0) = -15, y(0) = -11

The lesser of the two eigenvalues is Its corresponding eigenvector is

The greater of the two eigenvalues is Its corresponding eigenvector is

The starting salary of a starting teacher is $40,000, which will increase by 2% each year

What is the multiplier (growth factor) for this scenario?

1. .02
2. 1.02
3. 2
4. 1.2

Answers

Answer:

Choice B - (1.02)

Step-by-step explanation:

With the teachers starting salary being $40,000, we can rightfully assume that it their salary would not increase with Choice A, $40,000 * 0.2 = $800.

2% otherwise known as 0.02, would make the teachers yearly salary $40,000 * 1 + 0.02, or $40,000 * 1.02. Making the correct answer, Choice B - (1.02). (This would also give the teacher an additional $800 per year!)

An object located at the point (4, 55) on a distance time graph is later located at the point (9, 45). If distance is in metres and time is in seconds, the average speed is: a) -2 m/s b) 5 m/s c) -5 m/s d) 2 m/s

Answers

An object located at the point (4, 55) on a distance time graph is later located at the point (9, 45). If distance is in metres and time is in seconds, the average speed is -2 m/s.

To calculate the average speed of an object, we need to find the total distance traveled divided by the total time taken.

Given that the object is located at the point (4, 55) initially and later located at the point (9, 45), we can determine the total distance traveled and the total time taken.

Total distance traveled = Difference in distance = 45 - 55 = -10 meters (negative because the object moved from a higher distance to a lower distance)

Total time taken = Difference in time = 9 - 4 = 5 seconds

Average speed = Total distance traveled / Total time taken = -10 meters / 5 seconds = -2 meters/second

Therefore, the average speed of the object is -2 m/s.

Option (a) -2 m/s is the correct answer.

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What is another way to write -8+5?

Answers

Answer:

5-8

Step-by-step explanation:

you just had to move the 8 over

In a simple random sample of 170 households, the sample mean number of personal computers was1.71. Assume the population standard deviation is σ=0.86.

(a) Construct a 90% confidence interval for the mean number of personal computers. Round the answer to at least two decimal places.

A 90% confidence interval for the mean number of personal computers is _______
(b) If the sample size were 120 rather that 170, would the margin of error be larger or smaller than the result in part (a)? Explain.

The margin of error would be _______, since __________in the sample size will _______ the standard error.

(c) If the confidence levels were 95% rather than 90%, would the margin of error be larger or smaller than the result in part (a)? Explain.

The margin of error would be _______, since __________ in the confidence level will ___________the critical value za/2.

(d) Based on the confidence interval constructed in part (a), is it likely that the mean number of personal computers is greater than 1?

It ________ likely that the mean number of personal computers is greater than1.

Answers

The confidence interval using a 90% confidence level is (1.601, 1.819)

Confidence Interval

Confidence Interval = Sample Mean ± Margin of Error

Given the parameters:

Sample Mean (x) = 1.71

Population Standard Deviation (σ) = 0.86

Sample Size (n) = 170

Confidence Level = 90%

The standard Error(SE) is given by:

SE = σ / √n

SE = 0.86 / √170 ≈ 0.0663

The margin of Error is related to standard error by the relation:

ME = Z × SE

ME = 1.645 × 0.0663 ≈ 0.109

Confidence Interval = Sample Mean ± Margin of Error

Confidence Interval = 1.71 ± 0.109

Confidence Interval= (1.601, 1.819)

Part B:

A decrease in sample size from 170 to 120 would lead to increase in error margin , since decrease in sample size will increase the standard error.

Part C:

If confidence interval were raised from 90% to 95% , the error margin would be larger since increase in confidence interval would increase the critical value

Part D :

Based on the confidence interval , it is very likely that the mean number of personal computers is greater than 1.

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How to do this with steps please help !

Answers

Answer:

126+111+43+8=288

360-288=72

72÷12=6

x=6

Answer:  

x=6

Step-by-step explanation:

Step by step explaination attached below.

help me

The two major types of metal electrical cable are:

A.wire and fibre
B.twisted pair and coaxial
C.twisted pair and fibre optic
D.coaxial and fibre optic

2. What are the most common forms of wireless connection?

A.infrared beams
B.microwaves
C.radio waves
D.all of the above

3. Wi-fi connections have limited range of :

A.10 metres
B.600 metres
C.20 metres
D.300 metres​​​

Answers

Answer:

1.The two major types of metal electrical cable are:

A.wire and fibre

2. What are the most common forms of wireless connection?

C.Radio news

3. Wi-fi connections have limited range of :

D.300 metres




4. Use polynomial fitting to find the closed form for the sequence 2, 5, 11, 21, 36, ...

Answers

The sequence continues as follows:2, 5, 11, 21, 36, 67, ...

Given sequence2 5 11 21 36...

First differences 3 6 10 15...

Second differences 3 4 5...

Third differences 1 1...

The third differences are constant, which means that we can use a cubic polynomial for the fitting.

The formula for a cubic polynomial is

an³ + b

n² + c

n + d

Let us denote the nth term of the sequence by fn. Then, we have

f1 = 2, f2 = 5, f3 = 11, f4 = 21, f5 = 36...

We can write a system of equations using the first four terms of the sequence.

2 = a + b + c + d

5 = 8a + 4b + 2c + d

11 = 27a + 9b + 3c + d

21 = 64a + 16b + 4c + d

Solving this system, we get a = 1/3, b = 1, c = 11/3, and d = 0.

Thus, the closed-form expression for the nth term of the sequence isf(n) = (1/3)n³ + n² + (11/3)n

The next term in the sequence is f(6) = (1/3)(6)³ + (6)² + (11/3)(6) = 67.

Therefore, the sequence continues as follows:2, 5, 11, 21, 36, 67, ...

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solve the differential equation by variation of parameters. y'' y = csc(x)

Answers

The solution to the differential equation y'' + y = csc(x) using the variation of parameters method is y(x) = cos(x)ln|sin(x)| + Csin(x), where C is a constant.

To solve the differential equation by variation of parameters, we first find the complementary solution (the solution to the homogeneous equation). The homogeneous equation is y'' + y = 0, which has the solution y_c(x) = Acos(x) + Bsin(x), where A and B are constants.

Next, we find the particular solution using the variation of parameters method. We assume the particular solution is of the form y_p(x) = u(x)cos(x) + v(x)sin(x), where u(x) and v(x) are unknown functions.

We differentiate y_p(x) to find y_p' and y_p'' and substitute them into the original differential equation. After simplification, we obtain u'(x)sin(x) - v'(x)cos(x) = csc(x).

To solve this system of equations, we find the derivatives u'(x) and v'(x) and integrate them to obtain u(x) and v(x). Finally, we substitute u(x) and v(x) into the particular solution form y_p(x) = u(x)cos(x) + v(x)sin(x).

The final solution is y(x) = y_c(x) + y_p(x), which simplifies to y(x) = cos(x)ln|sin(x)| + Csin(x), where C is the constant of integration.

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Factor completely please. 3k^2-19k+20

Answers

3k^2-4k-15k+20
k(3k-4)-5(3k-4) /factor out (3k-4) from it
=> (3k-4)(k-5)

Answer:

3(k*k)-3(3k)-5(2k)+2(5+5)

Step-by-step explanation:

3k²-19k+20

Just find some number that equal the terms when multiplied. ¯\_(ツ)_/¯

DOUBLE CHECK!

3(k*k)-3(3k)-5(2k)+2(5+5)

Multiply what you need to.

3k²-9k-10k+20

Combine like terms.

3k²-19k+20

---

hope it helps

Write a cosine function that has a midline of y=5, an amplitude of 3, a period of 1, and a horizontal shift of 1/4 to the right

Answers

The graph of this function begins at 5 and moves down to 2 and back to 5 again in a repeated pattern over one period of 1.

A cosine function is a periodic function that fluctuates about its midline and follows a predictable pattern. The formula for a cosine function with a midline of y = c, amplitude of a, and period of b is:y = a cos(bx) + cTo shift the graph of a cosine function,

you can add or subtract a value inside the parentheses of the formula, which results in a horizontal shift.

The shift is to the right if you add, and to the left if you subtract.In this instance,

the cosine function has the following characteristics:Midline = y = 5Amplitude = 3Period = 1Horizontal shift to the right = 1/4We'll have to adjust the formula to include all of these parameters.

First and foremost, let's figure out the function's frequency, which is determined by dividing 2π by the period of the cosine function. In this example, the frequency is 2π/1, which equals 2π.

y = a cos(bx) + c is the formula we'll use. We'll substitute the values given into the formula. The resulting formula is:y = 3cos(2π(x - 1/4)) + 5This is the cosine function with a midline of y = 5, an amplitude of 3, a period of 1, and a horizontal shift of 1/4 to the right.

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what is the distance between (3,-5), (-3,0)

Answers

Answer: 11 units

Step-by-step explanation:

-3 and 3 are 6 units apart, so that would be 6 units, and when you add the -5 into the problem, the 6 units become 11 units. Hope this helped :)

Answer:

Exact Form:

√ 61

Decimal Form:

7.81024967 …

Somebody help me please

Answers

Answer:

Other dude is correct

Step-by-step explanation:

evaluate ∫30(4f(t)−6g(t)) dt given that ∫150f(t) dt=−7, ∫30f(t) dt=−8, ∫150g(t) dt=4, and ∫30g(t) dt=8

Answers

The evaluation of ∫30(4f(t) - 6g(t)) dt given that ∫150f(t) dt = -7, ∫30f(t) dt = -8, ∫150g(t) dt = 4, and ∫30g(t) dt = 8 is -80.

Given that ∫150f(t) dt = -7, ∫30f(t) dt = -8, ∫150g(t) dt = 4, and ∫30g(t) dt = 8.

Let us evaluate ∫30(4f(t) - 6g(t)) dt.

Therefore,∫30(4f(t) - 6g(t)) dt = ∫30(4f(t) dt - 6g(t) dt) = 4 ∫30f(t) dt - 6 ∫30g(t) dt

Now, using the given values in the question we can say that,∫30(4f(t) - 6g(t)) dt = 4 ∫30f(t) dt - 6 ∫30g(t) dt = 4 (-8) - 6(8) = -32 - 48 = -80

Therefore, the evaluation of ∫30(4f(t) - 6g(t)) dt given that ∫150f(t) dt = -7, ∫30f(t) dt = -8, ∫150g(t) dt = 4, and ∫30g(t) dt = 8 is -80.

Note: The given integrals ∫150f(t) dt, ∫30f(t) dt, ∫150g(t) dt, and ∫30g(t) dt are only intermediate steps in order to evaluate the final integral.

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Newton has just gone grocery shopping. The mean cost for each item in his bag was $3.38. He bought a total of 6 items, and the prices of 5 of those items are listed below:
$4.09, $4.03, S4.19, $2.24, $4.09
Determine the price of the 6th item in his bag.

Answers

Newton has just gone grocery shopping. The mean cost for each item in his bag was $3.38. The price of the 6th item in his bag is $1.64

To determine the price of the 6th item in Newton's bag, we can use the concept of the mean (average). We know that the mean cost for each item in his bag is $3.38, and he bought a total of 6 items.

To find the sum of all 6 item prices, we can multiply the mean cost by the total number of items:

Sum of all item prices = Mean cost * Total number of items

                                    = $3.38 * 6

                                    = $20.28

We also know the prices of 5 of the items, which are $4.09, $4.03, $4.19, $2.24, and $4.09.

To determine the price of the 6th item, we subtract the sum of the known prices from the sum of all item prices:

Price of the 6th item = Sum of all item prices - Sum of known prices

= $20.28 - ($4.09 + $4.03 + $4.19 + $2.24 + $4.09)

= $20.28 - $18.64

= $1.64

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For each of the following rejection regions, what is the probability that a Type I error will be made?
a. t> 2.718, where df = 11
b. t< -1.476, where df = 5
c. t< -2.060 or t > 2.060, where df = 25

a. The probability that a Type I error will be made is _____ (Round to two decimal places as needed.)


Answers

The probability of a Type I error in rejection region a is 0.01.

What is probability?

We must  find  the area under the t-distribution curve outside the rejection region, assuming a two-tailed test in order to to determine the probability of making a Type I error in each rejection region.

for a. t > 2.718, and df = 11:

Using a t-distribution table,  the probability is 0.01.

b. t < -1.476, df = 5:

Using a t-distribution table the probability is 0.05.

c. t < -2.060 or t > 2.060, df = 25:

Using a t-distribution table, the area in each tail is  0.025.

The combined probability of a Type I error in rejection region c is

0.025 + 0.025 = 0.05.

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For the following exercise, write the equation of the ellipse in standard form. Then identify the center, vertices, and foci. 9x² + 36y²-36x + 72y +36 = 0

Answers

The given equation, 9x² + 36y² - 36x + 72y + 36 = 0, represents an ellipse. In standard form, the equation can be written as (x-1)²/4 + (y+1)²/1 = 1. The center of the ellipse is at (1, -1), the vertices are located at (3, -1) and (-1, -1), and the foci are at (2, -1) and (0, -1).

To write the equation 9x² + 36y² - 36x + 72y + 36 = 0 in standard form, we need to complete the square for both the x and y terms. By rearranging the equation, we have 9x² - 36x + 36 + 36y² + 72y + 36 = 0.

Next, we can factor out a 9 from the x terms and a 36 from the y terms: 9(x² - 4x + 4) + 36(y² + 2y + 1) = 0.

Simplifying further, we have 9(x - 2)² + 36(y + 1)² = 36.

Dividing both sides by 36, we get (x - 2)²/4 + (y + 1)²/1 = 1, which is the standard form of an ellipse.

From the standard form, we can determine that the center of the ellipse is located at (1, -1), the vertices are at (3, -1) and (-1, -1), and the foci are at (2, -1) and (0, -1).

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LA Galaxy have won 35% of there soccer matches, and drawn 9 of them. If they played 40 matches, how many have they lost?

Answers

Answer:17

Step-by-step explanation:

0.35•40=14 to find how many they’ve won

14+9=23 is how many they have won or drawn

40-23=17 is how many they’ve lost

A triangle has three angles that measure 50 degrees, 28 degrees and 3x. What is the value of x?

Answers

Answer:

57.33

Step-by-step explanation:

50+28+3x=180

78+3x=180-78

3x=172/3

x = 57.33

A triangular pane of glass has a height of 30 inches and an area of 240 square inches. What is the length of the base of the pane?

Answers

240÷30=8

8×30=240

30 height 8 with

Which angles are neither obtuse angles nor acute angles?

Answers

Answer:

Acute angles are less than 90

obtuse is more than 90

right angles are exactly 90

Step-by-step explanation:

Answer:

First option: 90 degrees

Step-by-step explanation:

Obtuse is greater than 90.

Acute is less than 90.

Right is 90.

Which graphed function is described by the given intervals? Increasing on (−∞, 0) Decreasing on (0, ∞)
A) A
B) B
C) C
D) D

Answers

The best answer to go with is b

Simplify 4(8x).
A. 8x
B. 4x
C. 32x
D. 8 + 4x

Answers

Answer:

32x

Step-by-step explanation: 4(8x)=32x

The center and a point on a circle are given. Find the circumference to the nearest tenth.

center:(−15, −21);

point on the circle: (0, −13)


The circumference is about ???

Answers

Answer:

Circumference ~ 233.7

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is about 37.2. Plug 37.2 into the formula 2(pi)r to find the Circumference. The answer is 233.7 rounded to the nearest tenth.

Ben uses 3/12 pound of strawberries and 2/12 pound of blueberries to make jam. How many pounds of berries does Ben use to make jam?

Answers

Answer:

5/12

Step-by-step explanation:

add 3/12 and 2/12 to get 5/12 (decimal form is .416)

Answer:5/12 pounds

Step-by-step explanation: You take the 3 and add it with the 2 and you get 5/12

[tex]\frac{3}{12}[/tex] + [tex]\frac{3}{12}[/tex] = [tex]\frac{5}{12}[/tex]

y=Ax^2 + C/x is the general solution of the DEQ: y' + y/x = 39x. Determine A. Is the DEQ separable, exact, 1st-order linear, Bernouli?

Answers

The exact value of A in the general solution is 13

Also, the DEQ is separable

How to determine the value of A in the general solution

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

y = Ax² + C/x

The differential equation is given as

y' + y/x = 39x

When y = Ax² + C/x is differentiated, we have

y' = 2Ax - Cx⁻²

So, we have

2Ax - Cx⁻² + y/x = 39x

Recall that

y = Ax² + C/x

So, we have

2Ax - Cx⁻² + (Ax² + C/x)/x = 39x

Evaluate

2Ax - Cx⁻² + Ax + Cx⁻² = 39x

This gives

2Ax +  Ax  = 39x

So, we have

3Ax = 39x

By comparing both sides of the equation, we have

3A = 39

Divide both sides by 3

A = 13

Hence, the value of A in the general solution is 13

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If you have a circle with a central angle of 80 degrees, what is the degrees of its inscribed angle?

Answers

Answer:

The measure of the inscribed angle is [tex]40^{\circ}[/tex]

Step-by-step explanation:

Recall that the measure of the inscribed angle is one-half the measure of the central angle subtended by the same arc.

So, if the measure of the central angle is [tex]80^{\circ}[/tex], so the measure of the corresponding inscribed angle is:

[tex]\frac{1}{2}\times 80^{\circ}=40^{\circ}[/tex]

Solve the system with the addition method: - 8x + 5y = -33 +8.x – 4y = 28 Answer: (x, y) Preview 2 Preview y Enter your answers as integers or as reduced fraction(s) in the form A/B.

Answers

The solution to the system -8x + 5y = -33 and 8x - 4y = 28 is (x, y) = (7, -1).

To solve the given system of equations using the addition method, let's eliminate one variable by adding the two equations together. The system of equations is:

-8x + 5y = -33 (Equation 1)

8x - 4y = 28 (Equation 2)

When we add Equation 1 and Equation 2, the x terms cancel out:

(-8x + 5y) + (8x - 4y) = -33 + 28

y = -5

Now that we have the value of y, we can substitute it back into either Equation 1 or Equation 2 to solve for x. Let's use Equation 1:

-8x + 5(-5) = -33

-8x - 25 = -33

-8x = -33 + 25

-8x = -8

x = 1

Therefore, the solution to the system is (x, y) = (1, -5).

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What most likely happens when water loses heat? Olt changes into ice Olt changes into vapor. Olis temperature increases Its temperature remains constant fast pleaseExplain what's fiscal competitiveness and which are the Smith's idiom referring to the tax system? Five countries enter a race. The first three racers in order, Jamaica finished before Barbados, but behind Trinidad. Haiti finished before Guyana, but behind Barbados. Who won the Bronze (finished in 3rd place)? Vincent paints 75% of his statues. He paints 60 statues. How many statues does Vincent have in total? Completa. These are the things Diana says about the challenges inPeru. Complete and write the sentences.Modelo El chef (medir) mide los ingredientes varias veces.1. Yo (competir) ____ para tener el mejor plato.2. Mis amigos (pedir) ___ ayuda con sus recetas.3. El chef (repetir) ___ la receta.4. Yo (medir) ___ el azcar en una taza. sweat glands meaning Black Horse Transportation's sales budget for the first quarter follows: January$125,000 February 300,000 March290,000 All sales are on account (credit) with 50% collected in the month of sale, 30% collected in the following month after sale, and 20% collected in the second month after sale. There are no uncollectable accounts. The March cash receipts are: !PLEASE ANSWER ASAP! VERY IMPORTANT! THANK YOU!!An experiment compares weight of fish for two different brands fish food. Nacho Average Minosfish food has a mean fish weight 10 lbs. and a standard deviation of 1.5 lbs. Impossible Minos fishfood has a mean fish weight of 12 lbs. and a standard deviation of 1 lb. A fish is measured to be11.25 lbs. Which brand of fish food, Nacho Average Minos or Impossible Minos, is more likely to havebeen used to feed this fish? Find the curvature k(t) of the curve r(t) = (-2 sin t)i + (-2 sin t)j + (-1 cost)k = 2sqrt2/(sqrt(8cost^2t+sin^2t)^(3/2)) draw the structure for the product from the reaction of 1,3-cyclohexadiene and maleic acid (cis-2-butenedioic acid). If you climb 1600 m, how many degrees Celsius will the temperature drop?-HELP!! I have two days If arc AB = 107 and arc BC = 122, find the value of x. What is the product of (3y^-4)(2y^-4)? Below are some tasks performed in Energy jobs. Select the tasks that sound interesting or enjoyable. Check all that apply. Sam is practising free-throws in basketball. She has a 4/5 chance of scoring each time she shoots from the free-throw line. (You should assume that the probability of scoring for each shot is independent of the result of other attempts.) What is the expected value of the number of free-throws that Sam will score before her first miss? 4/25 What is the variance of the number of free-throws that Sam will score before her first miss? PLEASE HELP!!! Find the area of this trapezoid. Be sure to include the correct unit in your answer. Melissa bought 2 shirts and 3 skirts and spent between $45 and $60. Each shirt costs the same amount. Each skirt costs the same amount. The price of a shirt is $12. What is the least amount Melissa could have spent on a skirt? What is the most Melissa could have spent of a skirt? Walmart is sellingschool supplies: 5notebooks only cost$4.02! How muchwould znotebookscost? What about 7notebooks?Plz help! :) What does the pompeii tell us about the past? A catering business purchased a light truck on April 5, 2019 to deliver breakfastrestaurants. The business paid $27,000 for the truckDetermine the total depreciation amount for 2020 assuming the taxpayer opted out of Sec. 179 and bos (if alable) in the your of pe In addition, assume all taxpayers use a calendar year tax period and that the property memmoned was the only property purchased a bey of acquisition. Use the appropriate depreciation table from your note sheet textbook where nocevaryOL None of the answers given here.O $5,400$8,640OV $6,612OV. $8,100