The point (-7, 1) when reflected across the origin maps onto

A) (1, -7).

B) (7, 1).

OC) (7,-1).

D) (-1,7).

Answers

Answer 1

A) (1, -7). The reflected point is (7, -1). This matches option A) (1, -7) in the given choices.

When a point is reflected across the origin, its x and y coordinates switch signs. To reflect the given point (-7, 1) across the origin, you need to change the sign of both the x and y coordinates. The x-coordinate -7 becomes positive 7, and the y-coordinate 1 becomes negative 1. Therefore, the reflected point is (7, -1). This matches option A) (1, -7) in the given choices.

Calculation Steps:
1. Identify the coordinates of the given point: (-7, 1)
2. Reflect the point across the origin by changing the signs of the coordinates:
  a. Change the sign of the x-coordinate: -7 -> 1
  b. Change the sign of the y-coordinate: 1 -> -7
3. The reflected point is (1, -7), which matches option A.

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Related Questions

What is the probability that a test correctly rejects a false null hypothesis​ called?.

Answers

Power is the probability that a test correctly rejects a false null hypothesis​.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes—how likely they are—whenever we're uncertain of how an event will turn out.

Power is inversely related to the probability of making a type 2 error (β) which is rejecting the alternative hypothesis when it is true.

The equation of power is:

Power=1-β

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i need the answer asap lol..

i need the answer asap lol..

Answers

Answer:

144

Step-by-step explanation:

sense you have the line in the triangle you would add that to the 16 (length) and multiply that by the 6 (hight) and that would be the area (144)

Other things being equal, the margin of error of a confidence interval increases as:
a) the sample size increases.
b) the confidence level decreases.
c) the population standard deviation increases.
d) none of the above.

Answers

The margin of error of a confidence interval increases as:
c) the population standard deviation increases.



The margin of error (MOE) is influenced by three factors: the confidence level, the population standard deviation, and the sample size.

1. Confidence level: As the confidence level increases, the margin of error also increases because a higher confidence level requires a wider interval to ensure that the true population parameter is captured.
2. Standard deviation: As the population standard deviation increases, the margin of error also increases. A higher standard deviation indicates more variability in the population, leading to a wider confidence interval to account for this variability.
3. Sample size: As the sample size increases, the margin of error actually decreases because a larger sample provides more accurate estimates of the population parameter.

Therefore, among the given options, the margin of error of a confidence interval increases as the population standard deviation increases (option c).

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What are the coordinates of points E, F, and GS

A. E (2, 3), F (8,5), G (5,8)
B. E (3, 2), F (8,3), G (5,6)
C. E (3, 2), F (8,4), G (5,7)
D. E (3, 3), F (9, 4), G (6,7)

What are the coordinates of points E, F, and GSA. E (2, 3), F (8,5), G (5,8)B. E (3, 2), F (8,3), G (5,6)C.

Answers

Answer:

its a i think

Step-by-step explanation:

The answer will be A

the quarter mile grounding rule for rural electric utilities for direct-buried jacketed distribution cables says that they must have at least ? grounds per mile, minimum.

Answers

The quarter mile grounding rule for rural electric utilities for direct-buried jacketed distribution cables says that they must have at least 4 grounds per mile.

A utility cooperative is a specific kind of cooperative that is responsible for providing its members with a public utility, such as power, water, or telecommunications. Profits are either distributed to members as "patronage" or "capital credits," which are dividends paid on a member's investment in the cooperative, or they are reinvested for infrastructure

Every consumer is a shareholder and a member of the company. This means that, in contrast to investor-owned utilities where the amount of individual authority is determined by the number of shares held, all members have the same level of personal authority. Many utility cooperatives operate their business in accordance with a set of ideals based on the Rochdale Principles, just like cooperatives active in other industries.

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Given the triangle information below solve for the x value and the measure in degrees of angle a

Given the triangle information below solve for the x value and the measure in degrees of angle a

Answers

x+61+x+43+90=180
x+x=2x
61+43+90=194
2x+194=180
194-189
2x=15
x=7.5
43+7.5=50.5

Solve the following problem. My bank account balance was $7676 and i withdrew amounts of $1369, $2618, and $937. What is my balance now?!??!

Answers

$7676 - $1369 = $6307
$6307 - $2618 = $3689
$3689 - $937 = $2752
There is $2,752 left in the bank account.

Write the equation of a line perpendicular to 3x + 4y = 6 going through the point (2,-5).

Answers

write the given equation in a standard form

3x + 4y = 6

4y = 6 - 3x

4y = - 3x + 6

divided by 4 in both sides

y = - 4/3x + 3/2

standard form of a linear equation is

y = mx +c

therefore m for gradient is -4/3

the product of the gradient of the lines that are perpendicular to each other is -1

- 4/3 × mx = -1

mx = 3/4

y = mx + c

-5 = 3/4(2) + c

-5 = 3/2 + c

c = -13/2

therefore your equation is

y = 3/4x - 13/2

PLEASE HELP I NEED THIS ASAP.
solve the following equation for the value of x. SHOW UR WORK!!

PLEASE HELP I NEED THIS ASAP. solve the following equation for the value of x. SHOW UR WORK!!

Answers

Answer:

I need points ill answer in a seconds

Step-by-step explanation:

lol

Answer:

x = -8

Step-by-step explanation:

-3( -4x - 1) = - 93

- 4 x -1 = -93/ - 3

-4x -1 = 31

-4x = 31+1

-4x = 32

x = 32/-4 = - 8

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The point A(5,-2) is reflected over the point (4, -5) and its image is point B. What are the coordinates of point B?

Answers

The position of a point or figure before any transformation is called "preimage"

After undergoing the transformation the resulting point/figure is called "preimage"

So for this exercise, the "preimage" is point A(5,-2)

This point was reflected over the point (4, -5)

To calculate the x-coordinate of B, first calculate the distance between the x-coordinates of point A and the reflection point.

\(d_x=5-4=1\)

Next subtract it to de x-coordinate of the reflection point

\(x_B=4-1=3\)

For the y-coordinate of B you have to follow the same method, first calculate the difference between the y-coordinates of point A and the reflection point:

\(d_y=-2-(-5)=3\)

Next subtract it from the y-coordinate of the reflecting point to determine the y-coordinate of B

\(y_B=-5-3=-8\)

The coordinates for point B are (3,-8)

sorry to bother but can you help me with my math 31 - (-17) =?

Answers

Answer:

48

Step-by-step explanation:

31 - (-17)

31 + 17 = 48

-TheUnknownScientist

neil and 3 friends are keeping track of the number of miles they run each week what key should he use to make his pictograph

Answers

The key Neil and his 3 friends should use to make their pictograph for tracking the number of miles they run each week is to assign a symbol or icon to represent a specific number of miles. For example, they can use a small running shoe icon to represent 1 mile or 5 miles, depending on the scale they want to use.

In this scenario, Neil and his friends can create a pictograph using a chart with their names listed along the vertical axis and the weeks along the horizontal axis. For each person, they can draw the corresponding number of running shoe icons (based on the chosen scale) in each cell to represent the number of miles run that week.

This pictograph will help them visualize their progress and compare their weekly running distances with one another in a clear and organized manner.

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HELPPPP PLSSSSSSSSSSSSSSSS

HELPPPP PLSSSSSSSSSSSSSSSS

Answers

Answer:

x = 10

Step-by-step explanation:

9x + 9 = 8x + 19

9x - 8x = 19 -9

x =10

Answer:

10

Step-by-step explanation:

Angles are alternate exterior and congruent

9x + 9 = 8x + 19

9x - 8x = 19 - 9

x = 10  

Which statement could the expression n + 1 represent? one point greater than the last test grade the difference of Gina's score and one the total cost less one dollar one minute less than Mickey's previous time

Answers

Answer:

A. One point greater than the last test grade.

Step-by-step explanation:

One point greater than the last test grade can be written as an expression:n + 1

The difference of Gina’s score and one can be written as an expression:

n - 1

The total cost less one dollar can be written as an expression: n - 1

One minute less than Mickey’s previous time can be written as an expression: n - 1

Answer:

Step-by-step explanation:

its A

help plssss PLSS I BEG YOu

help plssss PLSS I BEG YOu

Answers

Answer: Just Try to Do somthing because i cant tell you the Answer

Step-by-step explanation:

solve these please.. thank you...

solve these please.. thank you...
solve these please.. thank you...
solve these please.. thank you...
solve these please.. thank you...
solve these please.. thank you...

Answers

For the given circle the value of x = \(18^{0}\) and the value of y = \(10^{0}\) .

What about circle?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius of the circle. The diameter of a circle is the distance across the circle passing through the center, which is equal to twice the radius.

The circumference of a circle is the distance around the outside edge of the circle and is given by the formula C = 2πr, where "r" is the radius of the circle, and "π" (pi) is a mathematical constant equal to approximately 3.14159. The area of a circle is given by the formula A = πr^2, where "r" is the radius.

The circle is a fundamental shape in geometry and is used in many areas of mathematics, science, and engineering. It has many properties that make it useful, such as being able to inscribe it in a square with equal sides, as well as being the shape that minimizes the perimeter for a given area.

According to the given information:

As, we know that when diameter passes through center of circle is form a right angle .

So,  

\(5x^{0} = 90^{0} \\\\x^{0} = 18^{0}\)

In the same way as we know that sum of all angle of triangle is = \(180^{0}\)

i.e.

\(5x^{0} + 50^{0} + 4y^{0} = 180^{0}\\\\90^{0} + 50^{0} + 4y^{0} = 180^{0} \\\\4y^{0} = 180^{0} - 90^{0} - 50^{0} \\\\y^{0} = 10^{0}\)

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express in two line copy(-2)×(+3)
(with photo)​

Answers

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

​Iris's checking account pays simple interest at ​4% per year. She has ​$180 in her account. Write a linear function to model the amount of money in her checking account at any time t.

​A(t)=

Answers

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

The probability of an event happening is 5/9 . What are the odds in favor of the event happening?

Answers

The odds in favor of the event happening are 5 to 4.

We have,

To find the odds in favor of an event happening, we use the formula:

Odds in favor = Probability of the event happening / Probability of the event not happening

In this case,

The probability of the event happening is 5/9.

The probability of the event not happening is 1 - 5/9, which simplifies to 4/9. So the odds in favor of the event happening are:

Odds in favor

= 5/9 / 4/9

= 5/4

Therefore,

The odds in favor of the event happening are 5 to 4.

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Find the change in profit P for the given marginal. Assume that the number of units x increases by 5 from the specified value of x. (Round your answer to two decimal places.) Marginal Number of Units, x dP dx = 12.1 60 − 3 x x = 121

Answers

The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.

S:{−2, −3}
S:{−3, −4}
S:{−4, −5}
S:{−2, −5}

Answers

Answer:

\(S=\{-2,-3\}\)

Step-by-step explanation:

Required integers are: -2 and -3

What current density would produce the vector potential, A = k Î¦Ë (where k is a constant), in cylindrical coordinates?

Answers

The current density vector Jz that would produce the given vector potential A in cylindrical coordinates is Jz = -k/c r sin(θ).  

The current density required to produce the given vector potential A = kΦ is J_φ = k (∂Φ/∂ρ), where Φ is the magnetic flux.

First, let's define the cylindrical coordinates:

r = r(theta, z)

θ = θ(theta, z)

z = z

Now, we need to find the vector potential A = k Φ. Using the right-hand rule, we can determine the direction of the vector potential as the direction of the positive z-axis.

The curl of A in cylindrical coordinates is given by:

curl(A) = (1/r)(∂/∂r)(rA) + (1/rsin(θ))(∂/∂θ)(Asin(θ)) + (1/sin(θ))(∂/∂z)(Acos(θ))

Since we want A = k Φ, we have kA = -1/r(∂A/∂r) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z).

Substituting the expression for A, we get:

k(1/r)(∂A/∂r) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z) = -1

Now, we need to find the divergence of the magnetic field B, which is given by:

div(B) = (1/r)(∂B/∂r) + (1/rsin(θ))(∂B/∂θ) + (1/sin(θ))(∂B/∂z)

Using the Biot-Savart law, we can find the magnetic field B in cylindrical coordinates. The magnetic field is given by:

B = (1/4π)∫(J(r',θ',z') x r') x r dA'

where J(r',θ',z') is the current density vector.

We can substitute the expression for J in cylindrical coordinates and simplify the integral to obtain:

B = (1/4π)∫[(-1/r)(∫z' J(r',θ') dθ')r') - (1/sin(θ'))(∫z' J(r',θ') dz')] x r dA'

Now, we need to find the current density vector J. Using the Maxwell-Ampere law, we can find the curl of the electric field E in vacuum, which is given by:

curl(E) = -∂B/∂t

Substituting the expression for E in cylindrical coordinates, we get:

curl(E) = -∂B/∂t = (1/c) ∂(Jz)/∂t

where c is the speed of light in vacuum.

Now, we can substitute these expressions for B and curl(E) into the equation for the magnetic field and simplify to obtain:

k(1/r)(∂A/∂r) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z) = -1

(1/c)(∂(Jz)/∂t) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z) = -1

Solving these two equations simultaneously, we can find the constants k and Jz. Once we have these values, we can substitute them into the expression for the vector potential A to obtain:

A = k r sin(θ) + Jz/c

Therefore, the current density vector Jz that would produce the given vector potential A in cylindrical coordinates is Jz = -k/c r sin(θ).  

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Find the volume of a pyramid with a square base, where the side length of the base is 16. 7\text{ in}16. 7 in and the height of the pyramid is 18. 5\text{ in}18. 5 in. Round your answer to the nearest tenth of a cubic inch.

Answers

A pyramid with a square base has a volume of 1682.64 cubic meters.

What is perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a shape is the distance around its edge. A shape's perimeter is always computed by summing the lengths of each of its sides. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length.

Here,

side=16.7 m

volume=1/3*16.7²*18.1

=1/3*5047.909

=1682.64 m³

The volume of a pyramid with a square base is 1682.64 m³.

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What is seven hundred thousand one hundred eighty-two and nine thousandths written in expanded form?​

Answers

Answer:

700,000, 100+80+2, 9,000

The perimeter of a rectangle 220 cm and its breadth and length are in
the ratio 4:7.What is the breadth and length?

Answers

Answer:

80 is the breadth and 140 is the length

Step-by-step explanation:

For which number does the 9 have the least value?


0. 9

0. 29

7. 079

9. 1

Answers

Answer:

7.079

Step-by-step explanation:

the nine is worth 0.009

Answer:

7.079

Step-by-step explanation:

In the provided numbers, the 9 has the least value in 7.079. In this number, 9 is in the thousandths place, which is a lower place value than in the other numbers. Here's why:

In 0.9, the 9 is in the tenths place, which has a value of 0.9.

In 0.29, the 9 is in the hundredths place, which has a value of 0.09.

In 7.079, the 9 is in the thousandths place, which has a value of 0.009.

In 9.1, the 9 is in the ones place, which has a value of 9.

Therefore, in 7.079, the 9 has the least value.

Can someone help me with this math problem?

Can someone help me with this math problem?

Answers

Answer:

\(x=7,\\m\angle LKN = 84^{\circ}\)

Step-by-step explanation:

1. For KM to be the angle bisector of angle LKN, it must be bisect LKN into two equal angles. Therefore, we have the following equation:

\(9x-21=6x,\\-21=-3x,\\x=\boxed{7}\)

2. Substituting \(x=7\):

\(\angle LKN=9x-21+6x=9(7)-21+6(7)=63-21+42=\boxed{84^{\circ}}\)

Determine the area under the standard normal curve that lies to the left of (a) Z=1.63, (b) Z=−0.32, (c) Z=0.05, and (d) Z=−1.33. (a) The area to the left of Z=1.63 is (Round to four decimal places as needed.)

Answers

The area to the left of Z=1.63 is approximately 0.9484.The area to the left of Z=1.63, representing the proportion of values that fall below Z=1.63 in a standard normal distribution, is approximately 0.9484.

To determine the area under the standard normal curve to the left of a given Z-score, we can use a standard normal distribution table or a calculator.

(a) For Z=1.63:

Using a standard normal distribution table or calculator, we find that the area to the left of Z=1.63 is approximately 0.9484.

The area to the left of Z=1.63, representing the proportion of values that fall below Z=1.63 in a standard normal distribution, is approximately 0.9484.

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Can someone help with this?

Can someone help with this?

Answers

Answer:

The answer you selected in the picture is correct

Step-by-step explanation:

where k is the constant of variation. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. ... Thus, the equation describing this inverse variation is xy = 10 or y = .

In the diagram below, points E, F, and G are collinear. If FH bisects ZEFI and m/IFG=38°, then which
of the following is the measure of ZHFG?

Answers

Where the above conditions are given, note that ∠AFB  and ∠EFD are not vertical angles neither are they linear pair angles.

How is this so?

Vertical angles are a pair of non-adjacent angles formed by the intersection of two lines.

They are equal in measure and are formed opposite to each other. An example of vertical angles is when two intersecting roads create an "X" shape, and the angles formed at the intersection points are vertical angles.

Linear pair angles are a pair of adjacent angles formed by intersecting lines. They share a common vertex and a common side.

An example of linear pair angles is when two adjacent walls meet at a corner, and the angles formed by the walls are linear pair angles.

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In the diagram below, points E, F, and G are collinear. If FH bisects ZEFI and m/IFG=38, then whichof
Other Questions
Vulcan Companys contribution format income statement for June is as follows: Vulcan Company Income Statement For the Month Ended June 30 Sales $ 900,000 Variable expenses 400,000 Contribution margin 500,000 Fixed expenses 475,000 Net operating income $ 25,000 Management is disappointed with the companys performance and is wondering what can be done to improve profits. By examining sales and cost records, you have determined the following: The company is divided into two sales territoriesNorthern and Southern. The Northern Territory recorded $400,000 in sales and $160,000 in variable expenses during June; the remaining sales and variable expenses were recorded in the Southern Territory. Fixed expenses of $176,000 and $140,000 are traceable to the Northern and Southern Territories, respectively. The rest of the fixed expenses are common to the two territories. The company is the exclusive distributor for two productsPaks and Tibs. Sales of Paks and Tibs totaled $140,000 and $260,000, respectively, in the Northern territory during June. Variable expenses are 27% of the selling price for Paks and 47% for Tibs. Cost records show that $67,200 of the Northern Territorys fixed expenses are traceable to Paks and $57,200 to Tibs, with the remainder common to the two products. Required: 1-a. Prepare contribution format segmented income statements for the total company broken down between sales territories. 1-b. Prepare contribution format segmented income statements for the Northern Territory broken down by product line. In the OSI model, data compression takes place at the:1) Presentation layer2) Session layer3) Network layer4) Physical layer the value of a dirtbike increases by 30% each year if you purchased this dirtbike today for $500 to the nearest dollar how much will the bike be worth five years later Frank McCourt, Whose Irish Childhood Illuminated His Prose, Is Dead at 78: What is a central idea of the Frank McCourt obituary?Question options:a) Despite earning a good living and then achieving fame, McCourt never lost touch with his impoverished background.b) McCourt never liked to publicly acknowledge his Irish roots until he finally sat down and wrote Angelas Ashes.c) Teaching became a way for McCourt to pass along the lessons he learned from literary success after Ashes became a juggernaut.d) McCourt had a falling out with his brother and other family members after they attempted to capitalize on his success. Chapter 4 Job-order costing Badger Company is a job-order costing manufacturer that applies overhead on the basis of direct labor hours. At the beginning of the year, to establish a predetermined overhead rate, Badger Company estimated total $4,500 in overhead costs and total 300 direct labor hours. On March 1, there were two jobs in process: Job 89 with a beginning balance of $2,300 and Job 90 with a beginning balance of $1,824. During March, three new jobs were started: Jobs 91,92 , and 93 . The amount of direct labor hours actually worked on each job during March was as follows: Data on costs added during March for all jobs are as follows: Job 89 job 90 job 91 job 93Direct labour hoursData on costs added during march for all jobs as followsJob 89 job 90 job 91 job 93Begin inv 2,300 1, 824 0 0 0Direct materials cost $1,300 $1,726 $2,310 $1,525 $ 820Direct labor cost 800 1,150 1,620 975 480By March 31, Jobs 89 and 91 were completed and sold. Job 90 was completed but not sold yet. The rest of the jobs remained in process. On March 1, the beginning balance of the Finished Goods inventory account was $2,050. Badger Company prices its jobs at cost plus 40%. 1. What is the manufacturing overhead applied to Job 89 ? A) $450 B) 5750 C) $7,200 D) $12,000 2. What is the total manufacturing cost incurred by Job 90 ? A) $3,626 B) $2,876 C) $5,450 D) $4,700 3. What is the balance in Work-In-Process on March 31? A) 53,800 B) 52,875 C) 54,475 D) 59,925 4. What is the balance in Finished Goods on March 31 ? A) 55,450 B) 57,500 (C) 55,676 D) $17,175 5. What is the amount of Cost of Goods Sold for March? A) 57,375 B) 59,675 C) $4,825 D) 510,300 6. What is the selling price of Job 91 ? A) $6.755 B) $4,825 C) $1,930 D) $5,390 Find the probability of this event Enter the answer as a fraction in simplest form, as a decimal, and as apercentYou choose a marble at random from a bag containing 12 red, 12 blue, 4 green, 6 yellow, and 26 blackmarbles,The marble is red Choose the correct imperfect tense conjugation of the verb in parentheses. Cuando era nio, yo ____ poemas. (escribir) A researcher is going to estimate the average typing speed of students of a college. He selects a random sample of 20 students and finds the average typing speed of 70 wpm and the standard deviation of 5 wpm. Estimate the lower bound of the 80% confidence interval of the average typing speed of a student of this college. Express your answer using THREE decimal places find the slope of the line that goes through the points (-1,-2) and (-3,-4) The graph shows the current through a 4.7 ohm resistor as a function of time. What is the total energy dissipated through this resistor in 5 seconds. 10,000 W of power is used to move a spoon for 10 s. How much work is done on the spoon? URGENT ANSWER QUICKLY5. Task: Calculate the efficiency of a heat engine that repeats the next circular change with an ideal diatomic gas. From the initial state, the gas is first isothermally (T2 = T1) expanded to 7 times Exotic Engine Shop uses a job order cost system to determine the cost of performing engine repair work. Estimated costs and expenses for the coming period are as follows: Engine parts $760,400 Shop direct labor 555,000 Shop and repair equipment depreciation 57,000 Shop supervisor salaries 158,500 Shop property taxes 28,800 Shop supplies 22,100 Advertising expense 15,200 Administrative office salaries 65,400 Administrative office depreciation expense 8,400 Total costs and expenses $1,670,800 The average shop direct labor rate is $15.00 per hour.Required:Determine the predetermined shop overhead rate per direct labor hour. Question 4: The Regional Comprehensive Economic Partnership (RCEP) agreement comes into effect on Jan. 1, 2022, 60 days after the minimum number of Instruments of Ratification/Acceptance was achieved from six ASEAN countries including Brunei, Cambodia, Laos, Singapore, Thailand, and Vietnam, as well as four non- ASEAN signatory states of China, Japan, Australia and New Zealand. Please use the theories/models learned in class to analyze: (A) How will the RCEP benefit those trade members in the region? (B) How will it affect the non-member nations? If \( \tan \theta=\frac{4}{9} \) and \( \cot \phi=\frac{3}{5} \), find the exact value of \( \sin (\theta+\phi) \) Note: Be sure to enter EXACT values You do not need to simplify any radicals. \[ \sin Question: Describe in five or more complete Spanish sentences using informal commands what a newly licensed friend should and should not do to be a safe driver on the road? Which of the following is an appropriate unit for speed?miles/hourmeters/secondblocks/minnewtons/secplease help. i will give u brainliest Simplify 2x - x + 4x 73.5 mol of P4O10 contains how many moles of P ? moles of P: in computer science terminology, the machine, robot, person, or thing carrying out the steps of the algorithm is called a(n) ____.