a. A train is traveling in a circular track of 53 km radius at 44 km per hour. Find in degrees the angle through which it turns in 1 minute.​

Answers

Answer 1
train turns through an angle of approximately 0.7917 degrees in 1 minute.
Answer 2

Answer:

0.38 degrees.

Step-by-step explanation:

C = 2π(53) = 106π km

The train is traveling at a speed of 44 km/h, which is equivalent to (44/60) km/min since there are 60 minutes in an hour.

d = (44/60) km/min

θ = (d / C) x 360°

θ = [(44/60) / (106π)] x 360°

θ ≈ 0.38°

Therefore, the angle through which the train turns in 1 minute is approximately 0.38 degrees.


Related Questions

One month Eric rented 3 movies and 5 video games for a total of $34. The next month he rented 9 movies and 7 video games for a total of $56. Find the rental
cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:
G
O
G

Answers

movies 1.75 each

games 5.75 each

Bozo can read at a rate of 300 words every four minutes. what is his rate of reading in words per minute?

Answers

Answer:

Bozo's rate of reading in words per minute is 75 (300 words / 4 minutes = 75 words/minute).

Step-by-step explanation:

Mark Brainliest!!

Answer: 75 words per minute

Step-by-step explanation:

     We will divide 300 words by 4 to find the rate of words per minute since the original rate is words per four minutes.

                       300 / 4 = 75 words per minute

List at least five combinations of nickels and dimes such that the total value of the coins is 80 cents.

Answers

Here are five combinations of nickels and dimes that add up to 80 cents:

4 dimes and 4 nickels

3 dimes and 7 nickels

2 dimes and 12 nickels

1 dime and 16 nickels

8 dimes and 4 nickels

opic: Choosing ping-pong balls without replacement.
There are 6 white and 3 orange ping-pong balls in a brown paper bag. Two balls are randomly chosen.
Enter your answers as fractions. They do not need to be reduced.
(The "Preview" simply displays your answer in nice mathematical text.
It does not mean that your answer is either right or wrong.)
a) How many total balls are in the bag at the start?

b) What is the probability that the 1st ball is orange?
P(1st = orange) =

c) What is the probability that the 2nd ball is also orange, given that the 1st ball was orange?
P(2nd = orange | 1st = orange) =

d) What is the probability that both the 1st and the 2nd balls are orange

Answers

a) The total number of balls in a bag is 9.

b) The probability that the first ball chosen is orange is 1/3.

c) The probability that the 2nd ball is also orange is 1/4.

d) The probability that both balls are orange is 1/12.

Given that:

Balls, White = 6 and Orange = 3

a) The total of ping-pong balls in the bag at the start is calculated as,

Total ball = 6 + 3

Total ball = 9

b) The probability that the first ball chosen is orange is calculated as,

P(Orange) = 3/9

P(Orange) = 1/3

c) There will be 8 balls in the bag, of which 2 are orange if the first ball selected was an orange ball. Then the probability is calculated as,

P(Orange) = 2/8

P(Orange) = 1/4

d) The product rule of probability may be used to determine the likelihood that the first and second balls are both orange:

P(Orange and Orange) = 1/3 x 1/4

P(Orange and Orange) = 1/12

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What is the value of x in the equation 4x+2x-3=15?​

Answers

Answer:

x = 3

Step-by-step explanation:

4x + 2x - 3 = 15 ← collect like terms on left side

6x - 3 = 15 ( add 3 to both sides )

6x = 18 ( divide both sides by 6 )

x = 3

Answer:

x=3

Step-by-step explanation:

You can start of by adding 4x and 2x because they both share the same variable "x". Now you have 6x-3=15. Using the addition property of equality, you can add 3 on both sides of the equation to cancel it out. You are left with 6x=18. Divide both sides by 6 and that leaves you with x=3

Andrew deposits $40 in a saving account earning5% interest, compounded annually. Which function can be used to determine the amount of money in the savings account after x years

Answers

The function that can be used to determine the amount of money is f(x) = 40 * (1.05)^x

Which function can be used to determine the amount of money

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

Principal = 40

Rate = 5% annually

Time = x

The function that can be used to determine the amount of money is represented as

f(x) = P * (1 + r)^x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 40 * (1 + 5%)^x

Evaluate

f(x) = 40 * (1.05)^x

Hence, the function is f(x) = 40 * (1.05)^x

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Use the diagram of the right triangle above and round your answer to the nearest hundredth.
If Measure of angle B = 60 degreesº and a = 10 meters, find b.
a.17.32 m
b6.93 m
c.14 m
d.9.99 m

Answers

The calculated value of the side length b is 17.32 meters

Finding the side length b

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

Angle B = 60 degrees

Length a = 10 meters

The side length b is calculated as

tan(60) = b/a

So, we have

tan(60) = b/10

Make b the subject

b = 10 * tan(60)

Evaluate

b = 17.32

Hence, the side length b is 17.32 meters

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Mitra drives her car 469.8 miles and uses 14.5 gallons of gasoline. Adira drives her car 355 miles and uses 12.5 gallons of gasoline. What is the difference between the gas mileage for Mitra's car (in miles per gallon) and the gas mileage for Adira's car (in miles per gallon)?

A) 2 miles per gallon
B) 4 miles per gallon
C) 8 miles per gallon
D) 9 miles per gallon

Answers

Answer:

4 miles per gallon. Answer choice B is correct.

Step-by-step explanation:

To find the gas mileage for each car, we need to divide the distance traveled by the amount of gasoline used.

For Mitra's car, the gas mileage is:

gas mileage = distance traveled / amount of gasoline used

gas mileage = 469.8 / 14.5

gas mileage = 32.4 miles per gallon

For Adira's car, the gas mileage is:

gas mileage = distance traveled / amount of gasoline used

gas mileage = 355 / 12.5

gas mileage = 28.4 miles per gallon

To find the difference in gas mileage, we can subtract the gas mileage for Adira's car from the gas mileage for Mitra's car:

difference = gas mileage for Mitra's car - gas mileage for Adira's car

difference = 32.4 - 28.4

difference = 4 miles per gallon

Therefore, the difference in gas mileage between the two cars is 4 miles per gallon. Answer choice B is correct.

The vertices of a quadrilateral are listed below.

Answers

The strongest classification of the quadrilateral with the given vertices is rhombus.

The vertices of the quadrilateral is given as,

E(5, 4), F(9, 2), G(5, 0) and H(1, 2).

Find the adjacent sides EF and FG whether they are equal.

Using the distance formula,

EF = √(9 - 5)² + (2 - 4)²  = √(16 + 4) = √20

FG = √(5 - 9)² + (0 - 2)² = √(16 + 4) = √20

Adjacent sides are equal.

So they are either square or rhombus.

Find the lengths of the diagonals whether they are equal.

EG = √(5 - 5)² + (0 - 4)²  = √(0 + 16) = 4

FH = √(1 - 9)² + (2 - 2)²  = √(64 + 0) = 8

Diagonals are not equal.

So it is a rhombus.

Hence the quadrilateral is a rhombus.

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Rectangle ABCD is shown on the coordinate plane below. What is the perimeter of rectangle ABCD? If necessary, round your answer to the nearest tenth.

Answers

The area of the given rectangle is 34 squared units.

How to find the area of the rectangle

Determining the area of a rectangle with the coordinates

A(-5, 3), B(3, 5), C(4, 1), and D(-4, -1)

can be achieved through using the distance formula to calculate the magnitude of its sides and then applying the formula for the area pf rectangle we find the area.

Length of Side AB:

= square root of [(3 - (-5))^2 + (5 - 3)^2]

= square root of 68

Length of Side BC:

= square root of [ (4-3)^2 + (1 - 5)^2]

= square root of 17

Area of this rectangle  

= side AB × Side BC

= square root[68] x square root[17]

= square root of [68 times 17]

= square root of 1156

= 34 Square Units

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Solve equation by using the quadratic formula. 15 x squared + 13 x = 0

Answers

Answer:

x= -13/15

Step-by-step explanation:

x(15x +13)

x =0

15x + 13 = 0

15x = -13

x =-13/15

Consider the parabola given by the equation:
f
(
x
)
=

2
x
2

8
x
+
14


Find the following for this parabola:

A) The value of
f
(

5
)
:


B) The vertex = (
,
)

C) The
y
intercept is the point (0,
)

D) Find the two values of
x
that make
f
(
x
)
=
0
. Round your answers to two decimal places. Write the values as a list, separated by commas:
x
=

Answers

Answer:

Sure, here are the answers to your questions:

**A) The value of $f(-5)$ is $-2$.**

To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:

$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$

**B) The vertex of the parabola is $(2,6)$.**

To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:

$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$

Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:

$$f(x)=-2(x+2)^2-20$$

The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.

[Image of a parabola with vertex at (-2, -20)]

**C) The $y$-intercept is the point $(0,14)$.**

The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:

$$f(0)=-2(0)^2-8(0)+14=14$$

Therefore, the $y$-intercept is the point $(0,14)$.

**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**

To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:

$$-2x^2-8x+14=0$$

We can factor the left-hand side of the equation as follows:

$$-2(x-2)(x-3)=0$$

This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:

$$x=2\text{ or }x=3$$

However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:

$$x=2.5\text{ and }x=-3.5$$

Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.

an octagonal prism has a surface area of 50mm^2 and a volume of 88 mm^3 Another octagonal prism has a surface area of 450mm^2 and a volume of 792mm^3. Are these two shapes similar ? Explain your answer

Answers

The two octagonal prisms are similar because their corresponding sides are proportional.

How do we determine the octagonal prisms are similar?

We can find out if two octagonal prisms are similar by checking if they have the same shape but may be different sizes. Two shapes are similar if their corresponding sides are proportional, and their corresponding angles are congruent.

Let's represent the dimensions of octagonal prism1:

Base edge length = a

Height = h

The octagonal prism2 dimensions:

Base edge length = b

Height = k

From the surface area and volume equations of an octagonal prism, we have the following system of equations:

50 = 2a² + 8ah

88 = 2a²h

450 = 2b² + 8bk

792 = 2b²k

We can simplify these equations by dividing the second equation by the first, and the fourth equation by the third, to eliminate h and k:

88/50 = 2a²h / (2a² + 8ah) => 44/25 = h / (a + 2h)

792/450 = 2b²k / (2b² + 8bk) => 44/25 = k / (b + 2k)

Then, we rearrange the equations to obtain expressions for h and k in terms of a and b, respectively:

h = (44/25) * (a + 2h)

k = (44/25) * (b + 2k)

Multiplying both sides of each equation by 25/19, we obtain:

h = (44/19) * a

k = (44/19) * b

We can now check if the corresponding sides are proportional:

Base edge length = a:b = 1:3

Height = h:k = 1:3

Since the corresponding sides are proportional, the two octagonal prisms are similar.

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6. Teachers' Salaries New York and Massachusetts lead the list of average teacher's
salaries. The New York average is $76,409 while teachers in Massachusetts make an
average annual salary of $73,195. Random samples of 45 teachers from each state
yielded the following.

Answers

Answer:

Step-by-step explanation:

Find the equation of a line that passes through the point ( 4 , 2 ) that is perpendicular to the line y = 4 3 x . Show your work.

Answers

The equation of the line that passes through the point (4, 2) and is perpendicular to the line y = 43x is y = (-1/43)x + (90/43).

What is the equation of a line that passes through the point ( 4 , 2 ) that is perpendicular to the line y = 43x?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given that the line has a slope of 43.

To find the slope of the line perpendicular to it, we use the fact that the product of the slopes of two perpendicular lines is -1.

So, the slope of the perpendicular line is -1/43.

Using the point-slope form of a line, we can write the equation of the line as:

y - y1 = m(x - x1),

where (x1, y1) = (4, 2) and m = -1/43

Plugging in the values, we get:

y - 2 = (-1/43)(x - 4)

y - 2 = (-1/43)x + (4/43)

y = (-1/43)x + (4/43) + 2

y = (-1/43)x + (90/43)

Therefore, the equation of the line is y = (-1/43)x + (90/43).

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perimeter of a tabe is 228 inches and the length is 18 inches which is more than twice the width. How do I find the length and width of the worktable

Answers

The length of the worktable is 82 inches and the width is 32 inches.

To find the length and width of the worktable, we can use a system of equations. Let's denote the width of the table by w.

Since the length is 18 inches more than twice the width, we can write:

Length = 2w + 18

The perimeter of the table is the sum of all its sides, which in this case is the sum of the length and the width, each multiplied by 2:

Perimeter = 2(length + width)

Perimeter = 2(2w + 18 + w)

Perimeter = 2(3w + 18)

Perimeter = 6w + 36

We know that the perimeter is 228 inches, so we can set up an equation:

6w + 36 = 228

Solving for w, we get:

w = 32

Now that we know the width, we can use the equation for the length to find:

Length = 2w + 18

Length = 2(32) + 18

Length = 82

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Find the average of 327 and 827

Answers

Answer:

577

Step-by-Step Explanation:

577 is right between 327 and 827.

327+827=1,154

1,154/2=577

Select the correct answer.
What is √81y6 in simplest form?
A. 3√/9y
B. 9y^4
C.3 √9y^2
D.9y^3

Answers

The answer for this question is D

3×2×1+3+8+6+7-9-9÷7×0×1=?​

Answers

Answer:

3 × 2 × 1 + 3 + 8 + 6 + 7 - 9 - 9 ÷ 7 × 0 × 1

= 6 + 3 + 8 + 6 + 7 - 9 - 0

= 31 - 9

= 22

Therefore, the value of the expression is 22

A
Find the measure of each side indicated.
Round to the nearest tenth.
8)
X
5 C
58°
B

Answers

The value of the measure of each side indicated are,

⇒ x = 12.48

⇒ BC = 16

We have to given that;

In triangle ABC;

AC = x

AB = 10

Hence, We can formulate;

⇒ tan 58° = BC / AB

⇒ 1.60 = BC / 10

⇒ BC = 16

By using Pythagoras theorem;

⇒ x² + 10² = 16²

⇒ x² = 256 - 100

⇒ x² = 156

⇒ x = 12.48

Thus, The value of the measure of each side indicated are,

⇒ x = 12.48

⇒ BC = 16

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PLEASE HELP (WILL GIVE BRAINLIEST)

Answers

Answer:

[tex] \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} [/tex]

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

Round to the nearest whole number, then find the sum. 15.43 + 12.85 + 21.3 = ___ pls i will give 60 points!!!!!!!!!!

Answers

Answer:

15.43 + 12.85 + 21.3 = 49.58

Rounding to the nearest whole number, the sum is 50.

Step-by-step explanation:

Answer:

15.43 + 12.85 + 21.3 = 49.58

Step-by-step explanation:

dude what is this i dont understand

Answers

Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

 

The table shows the​ distribution, by age and​ gender, of the million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 1824 age range living alone.

Answers

The probability that a randomly selected person in the region is a woman in the 18-24 age range living alone is approximately 0.14 or 14%.

To find the probability that a randomly selected person in the region is a woman in the 18-24 age range living alone, we need to look at the intersection of the "Female" row and the "0-24" age column in the table.

The probability of selecting a woman in the 18-24 age range living alone is:

P(woman, 18-24, living alone) = (Number of women in the 18-24 age range living alone) / (Total number of people living alone)

From the table, we can see that the number of women in the 18-24 age range living alone is 20.9. The total number of people living alone is 153.6.

P(woman, 18-24, living alone) = 20.9 / 153.6

P(woman, 18-24, living alone) = 0.1362 or approximately 0.14

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The complete question:

The table shows the​ distribution, by age and​ gender, of the million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 1824 age range living alone. Age |0-24|25-49|50+ |Total

Male|21.9|25.3 |28.6|75.8

Fem |20.9|26.1 |30.8|77.8

Tot |42.8|51.4 |59.4|153.6

Please help with this question I’m stuck brainiest and points will be rewarded

Answers

Matching of the statements with their respective linear equations are:

1) The line contains (0, -8) and a slope of 3/2: y = ³/₂x - 8

2) A line that contains the point (0, -2) and (4, 0): 2y - x = -4

3) y-intercept is (0, -2) and slope is -3/4: y = -³/₄x - 2

4) A line that has a slope of 5/3 and a y-intercept of -4: 5x + 3y = -12

How to Identify the linear equation?

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

1) The line contains (0, -8) and a slope of 3/2

The only option that even has a slope of 3/2 is option B with the equation: y = ³/₂x - 8

2) A line that contains the point (0, -2) and (4, 0)

The only one that fits this is option C with the equation:

2y - x = -4

3) y-intercept is (0, -2) and slope is -3/4.

This means the only equation that matches it is:

y = -³/₄x - 2

4) A line that has a slope of 5/3 and a y-intercept of -4.

This means the only equation that matches it is:

5x + 3y = -12

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Evaluate 6×[2−(4)×(–8)]

Answers

Answer:204

Step-by-step explanation:

pemdas

6x[2--32]=6×[34]=204

The answer…………………..:

Answers

Answer:

what?

Step-by-step explanation:

What is the question


Step by step

-2 square root of 2r +5=6

Answers

Evaluating the square root expression -2√(2r + 5) = 6 gives r = 2

Evaluating the square root expression

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

-2 square root of 2r +5=6

Express properly

So, we have

-2√(2r + 5) = 6

Divide by -2

√(2r + 5) = -3

So, we have

2r + 5 = 9

Subtract 5 from both sides

2r = 4

Divide

r = 2

Hence, the solution is 2

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Assume that the speed of automobiles on an expressway during rush hour is normally distributed with mean of 62 mph and a standard deviation of 5 mph.

What percent of cars are traveling slower than 62 mph?

Write your percentage as a decimal (so 12% = 0.12)!

Answers

The percentage of cars traveling slower than 62 mph during rush hour is 0.5 or 50%.

Since the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 62 mph and a standard deviation of 5 mph, we can use the cumulative distribution function (CDF) of the normal distribution to find the percentage of cars traveling slower than 62 mph.

Let X be the speed of an automobile on the expressway during rush hour. Then, X follows a normal distribution with mean (µ) = 62 mph and standard deviation (σ) = 5 mph.

We want to find P(X < 62), which represents the probability that a car is traveling slower than 62 mph.

Using the standard normal distribution table or a calculator with built-in functions for the normal distribution, we can find the z-score corresponding to the value X = 62, using the formula;

z = (X - µ) / σ

Plugging in the given values;

z = (62 - 62) / 5 = 0

Now, we can find the cumulative distribution function (CDF) of the standard normal distribution at z = 0, denoted as Φ(0), which represents the probability that a standard normal random variable is less than or equal to 0.

Using the standard normal distribution table or a calculator with built-in functions for the normal distribution, we can find Φ(0) to be approximately 0.5.

So, P(X < 62) = Φ(0)

= 0.5

Therefore, the percentage of car is 0.5 or 50%

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Use the trapezoid shown to new each statement below as true or false, if false rewrite the statement correctly in the space below the statement.

Answers

Note that the perimeter of the trapezoid shown is 23 units. Thus, the statement is false.

How so you arrive at that?

To derive the perimeter we  must know the following:


a = base = 5

b = base = 8

d = side = 4
c is the hypotenuse" = (h x base of the right triangle) = (4x3)/2 = 6

Thus, Perimeter of the trapezoid = a + b + c + d =

5 + 8 + 4 + 6

= 23 units.

Thus, the statement that the perimeter of the trapezoid shown is 22 units is false.

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Full Question>

Use the trapezoid shown to mark each statement below as true or false. if false, please rewrite the statement correctly in the space below the statement!

Q: The perimeter of the trapezoid shown is 22 units.

True false?

Other Questions
Your communication strategy for social media used for business should include A) avoiding content curation sites.B) creating vague headlines so readers want more.C) minimizing private messaging.D) building a coherent brand.E) replacing crisis communication. 4 Fe(s) + 3 O2(g) 2 Fe2O3(s) H = -1650 kJ/molThe oxidation of Fe(s) is represented by the equation above. Which of the following correctly explains whether or not the reaction is thermodynamically favorable?There are more particles (including particles in the gas state) in the reactants than in the product, thus S < 0. Because H is large and negative, the reaction will be thermodynamically favorable at low temperatures.There are more particles (including particles in the gas state) in the reactants than in the product, thus S < 0. Because H is large and negative, the reaction will be thermodynamically favorable at any temperature.There are more particles (including particles in the gas state) in the reactants than in the product, thus S > 0. Because H is large and negative, the reaction will be thermodynamically favorable at all temperatures.There are more particles (including particles in the gas state) in the reactants than in the product, thus S > 0. Because H is large and negative, the reaction will not be thermodynamically favorable at any temperature. Which of the following is likely to INCREASE the intrusion of schematic knowledge in later recall?A) thinking about how the event unfolded, rather than what it meantB) making an effort to fill in the gaps in one's memoriesC) decreasing the retention intervalD) thinking about what was distinctive, rather than typical, about the episode for Constipation what its 1.Clinical Intervention 2.Osmotic Laxatives:- a.Types b. MOA c.SE explain how transportation networks lead to the growth of markets and help foster regional interdependence An employee asks you what benefit a Roth 401K has over a traditional 401K. What should you tell her? Which of the following political events most directly led to the secession of the South?A. The presidential election of 1860B. TheDred Scott v. SandfordcaseC. The Kansas-Nebraska ActD. The Ten Percent Planwww.apstudy.net During the first week of January, an employee works 47 hours. For this company, workers earn 150% of their regular rate for hours in excess of 40 per week. Her pay rate is $15 per hour, and her wages are subject to no deductions other than FICA Social Security, FICA Medicare, and federal income taxes. The tax rate for Social Security is 6.2% of the first $118,500 earned each calendar year and the FICA tax rate for Medicare is 1.45% of all earnings. The current FUTA tax rate is 0.6%, and the SUTA tax rate is 5.4%. Both unemployment taxes are applied to the first $7,000 of an employee's pay. The employee has $81 in federal income taxes withheld. What is the amount of this employee's net pay for the first week of January? Multiple Choice $757.50 $138.95 $699.55 $618.55 Complete the following passage with articles Wonka Industries is owned by Archie and Bobby. Archie owns 600 of Wonkas shares and Bobby owns 400 shares. In order to qualify for sale or exchange treatment under Section 302(b)(1) through (3), what is the least number of shares that Archie would need redeemed? n most manufacturing industries, which of the following would likely represent the largest cost to the firm?A) transportationB) purchasingC) insuranceD) financingE) advertising The anthropologist has to consider obligations to three sets of people: n + 8 => 14what makes it false6, 8, 22, or 10 A wooden block measures 2cm by 5cm by 10cm and has a density of 18.2 g/ cm3. What is the mass? Throughout "A Modest Proposal," Swift uses language that dehumanizes the Irish people. Point out examples of such language, and explain their effect both in terms of Swift's satire and his underlying purpose If a penny is tossed four times and comes up heads all four times, the probability of heads on the fifth trial isa. 0.5b. 1/32c. zerod. larger than the probability of tails Write a "modest proposal" of your own in which you offer an outrageous solution to alleviate some social problem. Make sure that your proposal is satirical and that they recognize your real purpose in writing The following are the data of Jusko Appliance Co., a VAT-registered taxpayer, for the last quarter of 2020: P 319,200 Sales up to December 15, total invoice price Purchases for November up to December 15, net of input tax 215,000 On December 16, 2020, the taxpayer retired from business. Inventory of P190,000 was left unsold at the time of retirement. There is a deferred input tax of P3,500 from the last quarter. How much is the VAT payable? 27,700 33,004 27,089 28.900 enter an expression equivalent to 4(x + 5y) that clearly shows that the total leson spent on the on and the total he spent on the large flower pots is not 5y. Sensory deficits would be present at what root levels if a person had cauda equina syndrome