how do i write this decimals 56.01 in expanded form

Answers

Answer 1

Answer:  sowwy if im wrong

Expanded Numbers Form:

50

+6

+0

+0.01

Step-by-step explanation:

Expanded Numbers Form:

50

+6

+0

+0.01

Expanded Factors Form:

5*10

+6*1

+0*0.1

+1*0.01

Expanded Exponential Form:

5*101

+6*100

+0*10-1

+1*10-2

Answer 2

The expanded form of 56.01 is 50 + 6 + 0.01.

To write the decimal 56.01 in expanded form, we break down each digit's place value.

56.01 can be expressed in expanded form as follows:

50 + 6 + 0.01

The place values are as follows:

50 (50 is in the tens place, and we can also write it as 5 * 10)

6 (6 is in the ones place, and it is just 6)

0.01 (0.01 is in the hundredths place, and we can also write it as 1/100)

So, the expanded form of 56.01 is 50 + 6 + 0.01.

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Related Questions

1.18 euro is £1 so how many pounds will theo have to exchange to get 407.10 euros

Answers

Answer:

dam it been here that long and still unanswer

Step-by-step explanation:

A plumber charges a $25 service fee and $50 per hour. If
x represents the number of hours the plumber is at your
house, the total cost for the plumber's service is
represented by f(x) = 50x + 25. what is a possible range for this sotuation?​

Answers

Final answer:

The range for the cost of the plumber's services, represented by the function f(x) = 50x + 25, starts at $25 and extends to infinity, as the number of hours worked can vary.

Explanation:

The question pertains to finding a possible range for the cost of a plumber's services, where the plumber charges a $25 service fee and $50 per hour. The total cost is represented by the linear function f(x) = 50x + 25, with x representing the number of hours worked. The range of this function would be all possible values that the total cost f(x) can take.

Since the number of hours x cannot be negative, the smallest value of x is 0, which would result in the minimum cost, the service fee of $25. Therefore, the range of f(x) starts at 25 and extends to infinity because there is no upper limit on the number of hours a plumber might work, theoretically. The range can be written as {f(x) | f(x) ≥ 25}, which means the set of all f(x) such that f(x) is greater than or equal to 25.

alx+b) = 4x + 10
In the equation above, a and b are constants. If the
equation has infinitely many solutions for x, what is
the value of b?

Answers

Answer:

a=4, b=5/2

Step-by-step explanation:

Assuming the given equation is

[tex]a(x + b) = 4x + 10[/tex]

We expand the left hand side to get:

[tex]ax + ab = 4x + 10[/tex]

If this equation must have infinitely many solutions, then

[tex]ax = 4x \\ \implies \: a = 4[/tex]

Also we must have

[tex]ab = 10[/tex]

Put a=4 to get:

[tex]4b = 10[/tex]

[tex]b = \frac{10}{4} = \frac{5}{2} [/tex]

A cone has a radius of 11 inches and a height of 15 inches. What is the volumes of the cone rounded to the nearest cubic inch

Answers

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r = 11\\ h = 15 \end{cases}\implies V=\cfrac{\pi (11)^2(15)}{3} \\\\\\ V=605\pi \implies V \approx 1900.664\implies \stackrel{\textit{rounded up}}{V = 1901}[/tex]

I need the answer and explain how to find corresponding angles

Answers

Option A:

∠TSU and ∠QPS are corresponding angles.

Solution:

Given OQ and RT are parallel lines.

To find which angles are corresponding angles.

Option A: ∠TSU and ∠QPS

They are on the same side of the parallel lines.

These are corresponding angles.

Option B: ∠OPS and ∠OPN

These are adjacent angles in a straight line.

It is not corresponding angles.

Option C: ∠RSP and ∠QPS

These are alternate interior angles.

It is not corresponding angles.

Option D: ∠OPN and ∠TSP

These are alternate angles.

It is not corresponding angles.

Hence ∠TSU and ∠QPS are corresponding angles.

Option A is the correct answer.

Write an equivalent expression.
8(y - 7)


8y-7

8y-56

8y+56

8(y+7)

Answers

8y-56 i hope this helps!!

Answer:

8y - 56

Step-by-step explanation:

8(y - 7)

Distribute

8*y - 8*7

8y - 56

Find a positive angle less than 360° that is coterminal with the given angle.
525°

Answers

Answer:

165

Step-by-step explanation:

525-360=165

Carlos purchased a leather sofa four years ago for $1,500.00. Since he purchased it, its value has been decreasing by 30% per
year.
A. Find the missing values for the table shown.
B. Explain how you found each of the missing values in the table.
Carlos purchased it. Then
C Write an expression in the form a(b) that represents the value of the sofa in dollars t years
est your expression for t=0,1,2,3, and 4. Show your work.

Answers

Answer:

A) Table:

Value of the sofa in dollars:

Year       Value

   0         $1,500

   1         $1,050

   2        $735

   3        $514.50

   4        $360.15

B) Multiply successively by 0.70

C)    [tex]1,500(0.7)^t[/tex]: see the tests below

Explanation:

A) Find the missing values for the table shown

Although the table was not provided with the question, you can create a complete table from the supplied information.

Table: value of the sofa

Year     Value

   0        $1,500

   1             A

   2            B

   3            C

   4            D

Then, determine the missing values, i.e. A, B, C, and D

Notice that 30% is 0.30 and a reduction in the value is determined by mutiplying the starting value by 1 - 0.3 = 0.7.

A = $1,500 × 0.7 = $1,050.00B = $1,050 × 0.7 = $735.00C = $735 × 0.7 = $514.50D = $514.50 × 0.7 = $360.15

Thus, once completed the table would be:

Year       Value

   0         $1,500

   1         $1,050

   2        $735

   3        $514.50

   4        $360.15

B. Explain how you found each of the missing values in the table.

I multiplied successively by 0.70 which is the constant decaying rate of the function.

C. Write an expression in the form [tex]a(b)^t[/tex] that represents the value of the sofa in dollars t years after Carlos purchased it. Then test your expression for t = 0, 1, 2, 3, and 4.

a is the purchasing value of the sofa or the value when t = 0: 1,500b is the decaying rate: 1 - 30% = 1 - 0.3 = 0.7

Thus, the expression is:

[tex]1,500(0.7)^t[/tex]

Test it for t = 0, 1, 2, 3, and 4:

1,500(0.7)⁰ = 1,500(1) = 1,500   [tex]\checkmark[/tex]

1,500(0.7)¹ = 1500(0.7) = 1,050  [tex]\checkmark[/tex]

1,500(0.7)² = 1,500(0.49) = 735  [tex]\checkmark[/tex]

1,500(0.7)³ = 1500(0.343) = 514.5  [tex]\checkmark[/tex]

1,500(0.7)⁴ = 1,500(0.2401) = 360.15  [tex]\checkmark[/tex]

What is the answer of 200-100+4

Answers

Answer:

104

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

For this equation you go left to right because all you have is addition and subtraction, and they are equal in PEMDAS (Parenthesis, exponents, multiplication, division, addition and subtraction)

Since we go left to right we start wtih 200-100

200-100=100

Now we do the last step

100+4=104

Find the measure of the indicated angle to the nearest degree.

Answers

Step-by-step explanation:

Let the measure of required angle be x degree

[tex] \therefore \tan \: x = \frac{45}{28} \\ \\ \therefore \tan \: x = 1.60714286 \\ \\ \therefore \: x = {\tan}^{ - 1} (1.60714286) \\ \\ \therefore \: x = {\tan}^{ - 1} ( \tan \: 58.109 \degree) \\ \\ \huge \red{ \boxed{\therefore \: x = 58\degree}}[/tex]

Thus, first option is the correct answer.

Solve each system by substitution.
6) y = 2x - 3
y=-8x + 17​

Answers

Answer:

x=2

Step-by-step explanation:

Since they are both equal to y set them equal to each other: 2x-3=-8x+17

Subtract 17 from both sides: 2x-20=-8x

Subtract 2x from both sides: -20=-10x

Divide both sides by -10: 2=x

Answer: x = 2 and y = 1

Step-by-step explanation: What we have here is a pair of simultaneous equations and we have been instructed to solve by using the substitution method.

The equations are

y = 2x - 3 ------(1)

y = -8x + 17 ----(2)

The y variable has a coefficient of 1 in both equations so we can start with either of equation (1) or (2).

From equation (1) y = 2x - 3. Substitute for the value of y into equation (2)

2x - 3 = -8x + 17

By collecting like terms we now have

2x + 8x = 17 + 3

(Remember that when a negative value crosses to the other side of the equation it becomes positive and vice versa)

10x = 20

Divide both sides of the equation by 10

x = 2

Having calculated the value of x, we can now substitute for the value of x into equation (1)

y = 2x - 3

y = 2(2) - 3

y = 4 - 3

y = 1

Therefore, x = 2 and y = 1.


The distance from Jason's house to school is 0.6 kilometer. What is this distance in meters?

Answers

Answer:

600 meters

Step-by-step explanation:

1 kilometer= 1000 meters

0.6/1=x/100

Which makes x=600

Please help... I will give 1000 points for the brainliest answer
The ratio of the height of triangle CDE to the height of the similar triangle FGH is 3:5. The perimeter of triangle FGH is 25 cm. Find the perimeter of triangle CDE.

Answers

Answer:

15cm

Step-by-step explanation:

So first its 3:5 so take 25 and divide it by 5. This equals 5. Multiply it by 3 and you get 15cm. 15 is 3:5 of 25.

Answer:15cm

Step-by-step explanation: take 25 and divide it by 5 then Multiply the sum by 3 and you get 15cm

Yepa is solving 1.6 ÷ 6.4.
She uses an equivalent expression to do the division problem.

Which choice shows how Yepa could have found the correct solution to 1.6 ÷ 6.4?



Answers

Answer:

1/4=0.25

Step-by-step explanation:

The required answer is 0.25.

Given that, 1.6 ÷ 6.4.

How to divide decimals?

To divide a decimal by another decimal:

Move the decimal point in the divisor to the right until it is a whole number.Move the decimal point in the dividend to the right by the same number of places as the decimal point was moved to make the divisor a whole number.Then divide the new dividend by the new divisor.

Now, 1.6/6.4=0.25

Therefore, the required answer is 0.25.

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Max and some friends shared the cost of a meal. The meal cast $51 and each person contributed $17 how many people share the cost of the meal

Answers

Answer:

3

Step-by-step explanation:

51 divided by 17 equals 3

6 Write an equation in point-slope form given the points (-1,-7) and (2, 5). a. y - 5 = 4 (x - 2) b. y + 5 = 4 (x + 2) c. y - 2 = 4 (x - 5) d. y + 2 = 4 (x + 5)

Answers

Answer:

A - y - 5= 4(x - 2)

Step-by-step explanation:

First find slope with the two points given

( -1 , -7) and ( 2 , 5)

Using

m = y_2 - y_1 / x_2 - x_1

m - slope

x_1 = -1

y_1 = -7

x_2 = 2

ÿ_2 = 5

Inserting the values

m = 5 - (-7) / 2 - (-1)

= 5 + 7 / 2 + 1

= 12 / 3

= 4

Slope is 4

Then let's proceed

y - y_1 = m ( x - x_1)

using ( 2 , 5) as x_1 and y_1 respectively

x_1 = 2

y_1 = 5

m = 4

y - 5 = m ( x - 2)

m = 4

y - 5 = 4 ( x - 2)

We are asked to give the answer in point slope form

Which graph shows a positive relationship between variables ?

Answers

Answer:

scatter-plots

Step-by-step explanation:

Scatter plots are similar to line graphs in that they use horizontal and vertical axes to plot data points. However, they have a very specific purpose. Scatter plots show how much one variable is affected by another. The relationship between two variables is called their correlation .

Evaluate each expression.
log327 =
log121 =
logo 25 =
log, 128 =

Answers

Part 1:
3,0,-2,7
Part 2:
A,C,D

The results of the expression are given by;

\[tex]\mathbf{log_3(27) = 3}\\\\\mathbf{log_{11}(121) = 2}\\\\mathbf{log_{5}(125) = 3}\\\mathbf{log_{2}(128) = 7}\\\mathbf{(a) log_3(27)}\\[/tex]

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Expressions can be expressed using logarithms;

Express 27 as 3³

[tex]\mathbf{log_3(27) = log_3(3^3)}[/tex]

Apply law of logarithm;

[tex]\mathbf{log_3(27) = 3log_3(3)}[/tex]

So,

[tex]\mathbf{log_3(27) = 3\times 1}\\\mathbf{log_3(27) = 3}\\\mathbf{(b)\ log_{11}(121)}[/tex]

Express 121 as 11³

[tex]\mathbf{log_{11}(121) = log_{11}(11^2)}[/tex]

So, we have:

[tex]\mathbf{log_{11}(121) = 2\times 1}\\\mathbf{log_{11}(121) = 2}\\\mathbf{(c)\ log_{5}(125)}[/tex]

Express 125 as 5³

[tex]\mathbf{log_{5}(125) = log_5(5^3)}[/tex]

Apply law of logarithm;

[tex]\mathbf{log_{5}(125) = 3log_5(5)}[/tex]

So, we have;

[tex]\mathbf{log_{5}(125) = 3\times 1}\\\mathbf{log_{5}(125) = 3}\\\mathbf{dc)\ log_{2}(128)}[/tex]

Express 128 as 2^7;

[tex]\mathbf{log_{2}(128) = log_2{2^7}}[/tex]

Apply law of logarithm;

[tex]\mathbf{log_{2}(128) = 7log_2{2}}[/tex]

So, we have;

[tex]\mathbf{log_{2}(128) = 7\times 1}\\\mathbf{log_{2}(128) = 7}[/tex]

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WhT is the answer to -8(-4f-9)

Answers

Answer:

32f+72

Step-by-step explanation:

Distribute the -8

Answer:

32f + 72

Step-by-step explanation:

-8(-4f-9)

Distribute

(-8)(-4f) + (-8)(-9)

Multiply

32f + 72

Hope this helps :)

If 270°<θ<360°, and tan⁡ θ= - 1/2, what is the value of tan⁡(−θ)?

Answers

Check the picture below.

let's recall that once we move an angle in the opposite direction of the 0-line or x-axis, we end up with a negative counterpart angle.

since we know that θ is on the IV Quadrant, then its negative counterpart must be across the line, and tangent is negative on the IV Quadrant, and positive on the I Quadrant.

If 270°<θ<360°, and tan⁡ θ= - 1/2, then the value of tan(-θ) is 1/2.

Let's start by understanding the given information. We are given that the angle θ lies between 270° and 360°, which means it is in the fourth quadrant of the unit circle. In this quadrant, both the sine and tangent functions are negative, while the cosine function is positive.

We are also given that tan(θ) = -1/2. To find the value of tan(-θ), we can use the identity for the tangent of a negative angle:

tan(-θ) = -tan(θ).

Now, let's find the value of tan(θ) using the given information. We know that tan(θ) = -1/2, and since θ is in the fourth quadrant, we can construct a right-angled triangle in which the opposite side is -1 and the adjacent side is 2. By applying the Pythagorean theorem (a² + b² = c²), we can find the length of the hypotenuse, which is

√(1² + 2²) = √5.

Now, we have all the information to find the value of tan(-θ) using the tangent identity for a negative angle:

tan(-θ) = -tan(θ).

Substituting tan(θ) = -1/2, we get:

tan(-θ) = -(-1/2) = 1/2.

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please answer and explanation

Answers

61.23 square inches of metal is needed to create a cylindrical can.

Solution:

Diameter of the base = 3 in

Radius of the base = 3 ÷ 2 = 1.5 in

Height of the cylinder = 5 in

The value of π = 3.14

To find the surface area of the cylinder:

Surface area of the cylinder = [tex]2 \pi r^{2}+2 \pi r h[/tex]

                                               = 2 × 3.14 × (1.5)² + 2 × 3.14 × 1.5 × 5

                                               = 14.13 + 47.1

Surface area of the cylinder = 61.23 sq. in

Hence 61.23 square inches of metal is needed to create a cylindrical can.

how do I do this. Please I’m having trouble

Answers

The Slope is 3/5, because of the rise over run method

The Y-Intercept is -1, because the point that touches the y-axis is the y-intercept

22. Find the average of the following numbers: 15, 12, 14, 11, 13. Which
averaging method did you use to find the answer?
- 11
Average
Averaging Method
13
15
Mean
Drop Zone 1
Drop Zone 2
Median
Mode

Answers

The average of 15, 12, 14, 11, and 13 is 13, calculated using the mean averaging method.


Step-by-Step Solution to Find the Average

1. Identify the averaging method:

In this case, you asked for the "average," which generally refers to the mean. The other options provided, "median" and "mode," represent different averaging methods.

2. Calculate the mean:

To find the mean, we add all the numbers and then divide by the total number of numbers:

(15 + 12 + 14 + 11 + 13) / 5 = 65 / 5 = 13

3. Conclusion:

Therefore, the average of 15, 12, 14, 11, and 13 is 13, calculated using the mean averaging method.

4. (Optional) Explain other mentioned methods:

Median: The median is the middle number when the numbers are arranged in order. In this case, 12, 13, 14, 15, and 11. So, the median is 13.

Mode: The mode is the most frequent number. In this case, all numbers appear only once, so there is no mode.

The average of the given numbers is 13.

The average of the given numbers: 15, 12, 14, 11, 13 is calculated by adding all the numbers together and then dividing by the count of numbers. This method is known as the arithmetic mean.

First, we add all the numbers:

15 + 12 + 14 + 11 + 13 = 65.

 Next, we count the number of values, which is 5.

Now, we divide the sum by the count:

Average = 65 / 5 = 13.

Therefore, the average of the given numbers is 13.

The method used to find this answer is the arithmetic mean, which is also known as the Average or Mean method. In the given options, the correct term for the method used is Mean. The other options, Drop Zone 1, Drop Zone 2, Median, and Mode, refer to different statistical measures and are not applicable in this context for finding the average.

Solve for h.
h = a/4

Answers

Answer:

h = a/4

Step-by-step explanation:

h = a/4 has already been solved for h; there is nothing left to do here.

Lori bought a 25 pound bag of dog food. Every day, her dogs eat two pounds of food. How many days will the bag last? Between what two whole numbers does your answer lie?

Answers

a) Number of days the bag will last = 12.5 days

b) The answer lies between 12 and 13.

Step-by-step explanation:

Step 1 :

Total quantity of the dog food = 25 pounds

Total quantity of food the dog eats per day = 2 pounds

We need to find number of days the bag will last

Step 2 :

The number of days the food will last can be obtained by dividing the total quantity of food by the quantity consumed per day.

Hence

Number of days = [tex]\frac{25}{2}[/tex]  = 12.5 days

The answer lies between 12 and 13.

Step 3:

Answer :

a) Number of days the bag will last = 12.5 days

b) The answer lies between 12 and 13.

x+2y=3
3x-2y=5
What is the solution to system of equations?

Answers

Answer:

x+2y=3;3x-2y=5  

Solution :

{x,y} = {2,1/2}  

 

System of Linear Equations entered :

  [1]    x + 2y = 3

  [2]    3x - 2y = 5

Graphic Representation of the Equations :

   2y + x = 3        -2y + 3x = 5  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  x  

 

 [1]    x = -2y + 3

// Plug this in for variable  x  in equation [2]

  [2]    3•(-2y+3) - 2y = 5

  [2]     - 8y = -4

// Solve equation [2] for the variable  y  

  [2]    8y = 4  

  [2]    y = 1/2  

// By now we know this much :

   x = -2y+3

   y = 1/2

// Use the  y  value to solve for  x  

   x = -2(1/2)+3 = 2  

Solution :

{x,y} = {2,1/2}  

  Processing ends successfully  

Step-by-step explanation:

Answer:

x=2, y=1/2

Step-by-step explanation:



Find the area of the figure.
If you really know, you don't need the answer choices
Good Luck :)

Answers

The answer is B.)

1. Find the area of the rectangle = L x W

- 5 x 6 = 30

2. Find the area of the triangle = bh/2

- 4*3/2 = 6

3. Add the areas of the figures.

- 30 + 6 = 36 cm^2

Which properties are best used prove a quadrilateral is a parallelogram?
a) Diagonals are congruent and perpendicular.
b)Diagonals are congruent.
c) Diagonals bisect and are perpendicular.
d) Diagonals bisect.

Answers

A)Diagonals are congruent and perpendicular

Without counting them one-by-one, how many orange
tiles should you buy for the border of the Nguyens' 3 x 3
swimming pool?

Answers

Final answer:

To find out how many tiles they would need for the border of a 3 x 3 swimming pool, you would need to add 3 tiles on the top, 3 tiles on the bottom, and 2 tiles on the left and right sides, resulting in a total of 10 tiles.

Explanation:

The student wants to find out how many orange tiles they will need for the border of the Nguyens' 3 x 3 swimming pool. To do this, we can visualize the 3 x 3 square and count the tiles around the border, but we want to find a way to do it without counting them one-by-one.

The pool is 3 tiles by 3 tiles, which is a total of 9 tiles. However, the border tiles are only the tiles around the edges. Moreover, corners are shared by two sides. So, for a 3 x 3 square, there are 3 tiles on the top, 3 tiles on the bottom, 2 tiles on the left, and 2 tiles on the right. So, in total, we would need 3 + 3 + 2 + 2 = 10 tiles for the border of the pool.

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Final answer:

To find the number of orange tiles needed for the border of the Nguyens' 3 x 3 swimming pool, we need to calculate the perimeter of the pool and divide by the length covered by each tile.

Explanation:

To find the number of orange tiles needed for the border of the Nguyens' 3 x 3 swimming pool, we need to calculate the perimeter of the pool. The perimeter is the sum of all the sides of the pool.

In a 3 x 3 pool, each side has a length of 3 units. Since there are 4 sides, the total perimeter is 4 x 3 = 12 units.

Each tile covers a length of 1 unit, so to find the number of tiles needed, we divide the perimeter by the length covered by each tile: 12 ÷ 1 = 12 tiles.

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Answers

Answer:

$38.4

Step-by-step explanation:

20% discount means he has to pay:

100 - 20 = 80% of the marked price.

80/100 × 48 = 38.4

Answer:

$38.4

Step-by-step explanation:

To find the discounted price of a item, you need to apply the regular price and its sale percentage.

To find the "20% off sale" do this:

100% - 20% = 80%

Then multiply the regular price to the "80%".

Regular price of the watch: $48

Discounted price: $48 x 80% = $38.4

Hope this helps!!!:)
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Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic expression to represent the number of girls in the auditorium. George Clausen (age 48) is employed by Kline Company and is paid a salary of $42,640. He has just decided to join the companys Simple Retirement Account (IRA form) and has a few questions. Answer the questions for Clausen. (use 2015 tax information) a.What is the maximum that he can contribute into this retirement fund? b.What would be the companys contribution? c.What would be his weekly take-home pay with the retirement contribution deducted(married, 2 allowances,wage-bracket method,and a 2.3%state income tax on total wages)? d.What would be his weekly take-home pay without the retirement contribution deduction? If a polynomial is divided by (x-a) and the remainder equals to zero, then (x-a) is a factor of the polynomial Gerritt wants to buy a car that costs $30,000. The interest rate on his loan is 5.59 percent compounded monthly and the loan is for 7 years. What are his monthly payments Universal Furniture international, Inc. held copyrights on the designs of two furniture lines it sold. The designer had started with public domain sources, but blended elements from different historical periods and created changes until he found the designs aesthetically pleasing. He had blended the elements to create a different look. a major buyer of the lines asked Collezione Europa USA, Inc. to produce a cheaper version. Collezione did not know of the copyrights, but thought the designs were not entitled to copyright protection and could be imitated. it produced furniture so similar that when Universals senior vice president saw the pieces, he thought they actually were Universal pieces. Universal sued Collezione for infringement. Did Collezione have the right to imitate the designs? PLEASE HELP ASAP! I'LL MARK BRAINLEIST FOR WHOEVER GETS IT RIGHT AND ANSWERS THE FASTESTRead the following passage from Bulfinchs Mythology. We thus see that the Greeks of the early ages knew little of any real people except those to the east and south of their own country, or near the coast of the Mediterranean. Their imagination meantime peopled the western portion of this sea with giants, monsters, and enchantresses; while they placed around the disk of the earth, which they probably regarded as of no great width, nations enjoying the peculiar favor of the gods, and blessed with happiness and longevity. Introduction to Bulfinchs Mythology, pg. 6 In your journal, explain what you think Bulfinch is saying about the ancient Greeks and how they understood their world. Man James and Isidro equally share 1/2 of a pie . Which fraction of the whole pie did each of them receive Solve for a - 4a = 20 A nurse is teaching a group of nursing students how the CNS adapts to psychotherapeutic medications. Which statement by a nursing student indicates a need for further teaching?a."Adaptation can lead to tolerance of these drugs with prolonged use."b."Adaptation helps explain how physical dependence occurs."c."Adaptation often must occur before therapeutic effects develop."d."Adaptation results in an increased sensitivity to side effects over time." Information transfer is fundamental to all living organisms. For the following examples, explain in detail how the transfer of information is accomplished. 1. The genetic material from one bacterial cell enters another via transformation, transduction, OR conjugation?2. The genetic material in one eukaryotic cell is copied and distributed to two identical daughter cells.3. A gene in a eukaryotic cell is transcribed and translated to produce a protein. very long straight wire carries current 15 A. In the middle of the wire a right-angle bend is made. The bend forms an arc of a circle of radius 27 cm, as show. Determine the magnetic field at the center of the arc. the falling action of "the blackcat" appears during witch part of the story? Complete the following sentences with the correct forms of the verb dar.1. Yo le_________mucho dinero a mi hermano.2. Nosotros te____________muchas plumas (pens) y las pierdes (and you lose them).3. T le__________la tarea a la profesora?4. Ellas me__________sus nmeros de telfono.5. Tania nos__________su direccin. Alex invested $30,000 in cash in his business. How will this entry be posted in the ledger accounts? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.) Omar, a 6-year-old, asks his mother for pasta in a small bowl as he is not hungry enough to finish a large bowl. He gets annoyed when his mother serves him a little pasta in a large bowl. Looking at the size of the bowl, he thinks that he will not be able to finish the pasta. In the context of Piaget's theory of cognitive development, which of following assumptions can be made about Omar?He lacks an understanding of the concept of conservation. On July 1, an investor holds 50,000 shares of a certain stock. The market price is $30 per share. The investor is interested in hedging against movements in the market over the next month and decides to use an index futures contract. The index futures price is currently 1,500 and one contract is for delivery of $50 times the index. The beta of the stock is 1.3. What strategy should the investor follow? Under what circumstances will it be profitable? Find the mode of the following data set.a. 31b. 3 and 4c. 1 advocate wants to estimate the percentage of people who favor decreasing tariffs on imported goods. She conducts a nationwide survey of 1350 randomly selected adults 18 years and older. The interviewer asks the respondents, "Do you favor supporting free trade with our friendly neighbors question mark" is 5361 divisible by three how do you know just by looking at it Sandy guarantees to pay Lester any debts Albert incurs with Lester. Sandy makes this guarantee because she knows that if she does not, Albert will run up a large debt with Lester and be forced to declare bankruptcy. Albert would then most likely be unable to pay Sandy what he owes her. Does this contract have to be in writing?