rawan deposits 13000 into an account that pays 2.6% annual interest compounded every 6 months

Answers

Answer 1

The function that represent the balance A in the account after t years is f(t) = 13000( 1.013 )^( 2t ).

This question is incomplete, the complete question is:

Rawan deposits $13,000 into an account that pays 2.6% annual interest compounded every 6 months.

Write a function to represent the balance A in the account after t years.

What is the function that represent the balance A in the account after t years?

The formula accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that;

Principal P = $13,000Compounded every 6 months n = 2Interest rate R = 2.6%

First, convert R as a percent to r as a decimal

r = R/100

r = 2.6/100

r = 0.026

Given that time = t.

A = P( 1 + r/n )^( n × t )

f(t) = 13000( 1 + 0.026/2 )^( 2 × t )

f(t) = 13000( 1 + 0.026/2 )^( 2t )

f(t) = 13000( 1 + 0.013 )^( 2t )

f(t) = 13000( 1.013 )^( 2t )

Therefore, the accrued amount after t years is f(t) = 13000( 1.013 )^( 2t ).

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Related Questions

This circle iS centered at the origin, and the length of its radius iS 5. What is
the equation of the circle?

Answers

Answer:

25

Step-by-step explanation:

The equation of a circle centered at the origin with radius r is given by:

(x^2) + (y^2) = r^2

In this case, the circle is centered at the origin and has a radius of 5, so the equation is:

x^2 + y^2 = 25

Therefore, the equation of the circle is: x^2 + y^2 = 25

What is the slope of a line perpendicular to a horizontal line?

Answers

The slope of a horizontal line perpendicular to a horizontal line is infinity or undefined.

The slope of a line is the that of the inclination that is makes with a horizontal line.

So, the slope of horizontal line is 1 because the value of tam(0 degrees) is also 1.

A line that is perpendicular to the horizontal line will have a the value of angle to be 90 degrees and we know that,

tan (90 degrees) = undefined/infinity

So, here we are concluding that the slope of any line that is being lying perpendicularly on any horizontally lying line is infinity or undefined.

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Find the 11th term of the geometric sequence 7, 35, 175

Answers

11th term of the given geometric sequence is [tex]a_{n} = 7(5^{n-1})[/tex]

What is Geometric sequence?

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

Given geometric sequence = 7,35,175

Nth term of the geometric sequence [tex]a_{n}=a_{1} .r^{n-1}[/tex]

[tex]a_{1}=7[/tex]

[tex]r= \frac{35}{7} =5[/tex]

Nth term of the geometric sequence

[tex]a_{n} = 7(5^{n-1})[/tex]

Hence, the Nth term of the given geometric sequence is  [tex]a_{n} = 7(5^{n-1})[/tex]

Help with this PLEASE!!

Answers

Answer:

x = 24°

Step-by-step explanation:

See the attached worksheet.   Let a and b stand for the two unknown angales as shown on the worksheet.  Since the sum of angles across a straight line is 180°, we can express the two angles as:

a = 180°-x, and

b = 180° - 111° or b = 69°

The sum of the interior angles of a quadrilateral is 360°.  Set the four angles equal to 360° and solve for x.

x = 24°

Mr. Lee's house has two stories and an attic. The first floor is
9½ feet high, the second floor is 8 3/4 feet high, and the entire
house is 24 7/12 feet high. What is the height of the attic?

Answers

The height of the attic in Mr. Lee's house is 6 1/3

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.

Mr. Lee's house has two stories and an attic. Therefore:

Height of entire house = height of first floor + height of second floor + height of attic

The first floor is 9½ feet high, the second floor is 8 3/4 feet high, and the entire house is 24 7/12 feet high

9 1/2 = 19/2; 8 3/4 = 27/4; 24 7/12 = 295/12. Let x represent the height of the attic. Substituting:

x + 19/2 + 35/4 = 295/12

x = 19/3

x = 6 1/3

The height of the attic is 6 1/3

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Find the value of each variable provide proofs

Answers

The value of x is 18.

The value of y is 15.6.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

From the figure,

Sin 30 = 9/x

1/2 = 9/x

x = 9 x 2

x = 18

Now,

Using the Pythagorean theorem.

x² = 9² + y²

18² = 81 + y²

y² = 325 - 81

y = √244

y = 15.6

Thus,

x = 18

y = 15.6

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Drag each tile to the correct box. Not all tiles will be used.
Order the steps for bisecting line segment AB using a reflective device.
A
Place the reflective device anywhere on
the segment.
Move the reflective device around on the
paper until the reflection of point A
coincides with point B.
Place the reflective device on Point A.
Place the reflective device on Point B.
Draw the line of reflection using the edge
of the reflective device as a guide.

Answers

The correct steps for bisecting line segment AB using a reflective device is given below:

Place the reflective device on Point A.Move the reflective device around on the paper until the reflection of point A coincides with point B.Draw the line of reflection using the edge of the reflective device as a guide.

What is Bisecting a line?

Cutting a line exactly in half is known as bisecting it. Due to the fact that the line you are drawing will be at a right angle to the initial line, it is also sometimes referred to as creating a perpendicular bisector.

A compass, pencil, and ruler are required.

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The lengths of two sides of a triangle are 4 inches and 7 inches.
What is a possible length, in inches, of the third side?

Answers

A possible length, in inches, of the third side is equal to 4 inches.

What is the triangle inequality theorem?

In Euclidean geometry, the Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than or equal (≥) to the third side of the triangle.

Mathematically, the Triangle Inequality Theorem is represented by this mathematical expression:

b - c < n < b + c

Where:

n, b, and c represent the side lengths of this triangle.

By applying the Triangle Inequality Theorem, the possible side lengths of the triangle's third side is given by:

b - c < n < b + c

7 - 4 < n < 7 + 4

3 < n < 11.

Therefore, n could be 4, 5, 6, 7, 8, 9, and 10 inches.

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The ratio of staff to guests at the gala was 3 to 5. There were a total of 576 people in the ballroom. How many guests were at the gala?

Answers

360 guests were at the gala

How to determine how many guests were at the gala?

Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another.

Since the ratio of staff to guests at the gala was 3 to 5.

Let S and G represent the number of staff and guests respectively. From the given information, we can write:

S/G = 3/5

S + G = 576

Thus, S = 576 - G

Put S = 576 - G in S/G = 3/5 and solve for G. That is:

(576 - G)/G = 3/5

3G = 5(576 - G)

3G = 2880 - 5G

3G + 5G = 2880

8G = 2880

G = 2880/8

G = 360

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Find the coordinates of the circumcenter of ABC with vertices A(-9, -4),
B(-9, 8), and C(-1,0).
The coordinates of the circumcenter are?

Answers

Answer:

Step-by-step explanation: 32 because 9 x4 lol

how to calculating rf values?

Answers

Answer:

Step-by-step explanation:

Rf values (retention factor values) are used in thin layer chromatography (TLC) to measure the separation of components in a mixture. They are calculated as follows:

Rf = (distance traveled by the solute) / (distance traveled by the solvent)

The distance traveled by the solute is measured from the origin (the spot where the sample was applied) to the final position of the solute on the TLC plate. The distance traveled by the solvent is measured from the origin to the solvent front (the point where the solvent stops moving up the plate).

It is important to note that Rf values are unique to each solute and are dependent on the solvent used, the type of TLC plate, and the conditions of the experiment (such as the temperature and humidity). To ensure accurate comparison of Rf values, it is necessary to standardize the conditions of the experiment.

Calculating Rf values is a crucial step in the interpretation of TLC data, as it allows for the identification of the components of a mixture based on the unique Rf values of each solute.

Special Triangle Segments......
3. Find the value of the variable given the triangles are similar. Answer the additional questions. Show all work. Name the property you used in your problem.

Answers

The value of x is 20 and the property is similar triangle

What are similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Since ∆ ADC and IJH are similar, the ratio of their corresponding sides are equal.

Therefore,1.2/12 = 2/x

1.2x= 12×2

x = 24/1.2

x = 20

Therefore the value of x is 20

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Teacher's name Height with the heels Height without the heels
Ms. Mathey 190 cm 182.4 cm
Mrs. Meansy 162.5 cm 156 cm
Ms. Cool 140 cm 134.4 cm
Miss Petite cm 155.1 cm
Ms. Lora cm
159.8 cm

Answers

The required complete table of heights of teachers is shown in the image attached.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
To calculate the height without heels, we need to subtract 4% of the height with heels from the height with heels. This can be done by multiplying the height with heels by 0.96 (which is equivalent to subtracting 4%):

Height without the heels = Height with the heels x 0.96

Using this formula, we can fill in the chart for each teacher.

Thus, the required complete table has been shown in the image attached.

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What is 4.25 in expanded form?

Answers

Answer:

4 + 0.2 + 0.05

Step-by-step explanation:

how to convert milliliters to ounces?

Answers

From the given data by doing unit conversion, 250 mL is approximately equal to 8.4535 fluid ounces.

Unit conversion is the process of converting a given quantity from one unit of measurement to another.

To convert milliliters (mL) to fluid ounces (fl oz), you can use the following conversion factor:

1 mL = 0.033814 fl oz

To convert, simply multiply the number of milliliters by 0.033814 to get the equivalent volume in fluid ounces.

For example, if you want to convert 250 mL to fluid ounces, you can use the conversion factor as follows:

250 mL × 0.033814 fl oz/mL = 8.4535 fl oz (rounded to four decimal places)

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Write an algebraic expression to represent the following situation: "Greg has nickels and pennies in his pocket. The number of pennies is 7 less than twice the number of nickels. Let N represent the number the nickels. Write an expression for the number of pennies."

Answers

Algebraic expression to represent the given situation would be, P = 2N - 7

What is algebraic expression?

When we utilize numbers and words to solve a mathematical problem, we are using algebraic expressions.

Let P represent the number of pennies in Greg's pocket.

We know that the number of pennies is 7 less than twice the number of nickels, which can be written as:

P = 2N - 7

This expression represents the number of pennies in terms of the number of nickels.

Therefore, Algebraic expression to represent the given situation would be, P = 2N - 7

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(3b + 3)(-b² - 2b + 2)

Answers

Dragon




Dezz nut cross yo face

Rafael runs 4 miles in 30 minutes. At the same rate, how many minutes would he take to run 10 miles?

Answers

Rafael will take 75 minutes to run 10 miles at the same rate.

Solution:

We know that Rafael can run 4 miles in 30 minutes.

So, we can find his pace, as follows:

30 minutes/ 4 miles = 7.5 minutes per mile.

So, for 10 miles he will take 7.5* 10 = 75 minutes.

Hence, it will take Rafael 75 minutes to run 10 miles.

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a wheel for a wheel of winning game makes one revolution in 4 seconds. What is their unit rate in terms of minutes

Answers

It will take 15 revolutions per minute.

What is the unit rate?

An item's unit rate is its price for one of them. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

Here, we have

Given: a wheel for a wheel of winning game makes one revolution in 4 seconds.

Take a time for 1 revolution = 4 seconds

Assume that the unit rate in terms of revolutions per minute is x.

1 rev/4 second = x rev/60 second

4x = 60

x = 15

Hence, it will take 15 revolutions per minute.

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Sarah needs to earn a C in her Algebra class. Her current test scores are 69, 75, 65, and 83. Her final exam is worth 4 test scores. In
order to earn a C Sarah's average must lie between 70 and 79 inclusive. What range of scores can Sarah receive on the final exam to
earn a C in the course?
s final exam scores[
(Type an integer or a simplified fraction.)

Answers

Answer:

Sarah must get between a 67 and 85.

Step-by-step explanation:

69 + 75 + 65 + 83 = 292

70 ≥ 1/8(292 + 4x) ≥ 79

70 ≥ 0.5x + 36.5 ≥ 79

67 ≥ x ≥ 85

What is the percent composition of water in the compound magnesium sulfate heptahydrate, MgDO4•7H2O?
A. 7.3%
B. 24.8%
C. 48.8%
D. 51.2%

Answers

Answer:51. 2%

Step-by-step explanation:

24+32+(16×4)+7(2+16)=24+32+64+126=246

26g of Epsom salt contains 126g of water of crystallisation.Hence, 100g of Epsom salt contains 100×126/246The % of H2​O in MgSO4​.7H2​O=

You are on a team of architects. You are charged with building a scale-model replica of one section of a new roller coaster before construction gets underway.


Certain reinforcement cables and struts are required to make the roller coaster sturdier. The goal for this project is for your team to determine where to place these cables or struts. The mathematical models for these reinforcements are known.


Your team must provide both algebraic and graphical evidence for your conclusions regarding the location of the cables.


Directions:


The shape of this particular section of the rollercoaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.




1. Write the equation that models the height of the roller coaster.


The circle equation is x² + y² = r²




Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)


The roller coaster's leg is 30 feet above the ground, as stated.


⇒ r = 30


⇒x² + y² = 30²


⇒x² + y² = 900




Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)


Roller coaster height equation: - x2 + y2 = 900




As we know, x² + y² = 900




⇒y² = 900 - x²




⇒y = √900 - x²






2. Graph the model of the roller coaster using the graphing calculator. Take a screenshot of your graph and paste the image below, or sketch a graph by hand. (5 points)



Model 1: One plan to secure the roller coaster is to use a chain fastened to two beams equidistant from the axis of symmetry of the roller coaster, as shown in the graph below:



You need to determine where to place the beams so that the chains are fastened to the rollercoaster at a height of 25 feet.




3. Write the equation you would need to solve to find the horizontal distance each beam is from the origin. (10 points)


To find the horizontal distance, we use the equation: x = 30^2-25^2



4. Algebraically solve the equation you found in step 3. Round your answer to the nearest hundredth. (10 points)


The horizontal distance is 16.58 feet


How to determine the equation:


The height is given as: 25 feet.

The roller coaster's length is 30 feet.

Use h to represent horizontal distance.

Given that the roller coaster represents the hypotenuse side length, the following equation can be used to calculate h

In step 3, we have: 30^2-25^2

This gives

Take the roots of both sides to get our answer





5. Explain where to place the two beams. (10 points)


The beam should be placed 8 feet from the center.


The struts are y = √(x + 8) and y = √(x − 4).


The struts are 2 feet apart at the location of the beam: √(x + 8) − √(x − 4) = 2


Solving:


√(x + 8) = 2 + √(x − 4)


x + 8 = 4 + 4√(x − 4) + x − 4


8 = 4√(x − 4)


2 = √(x − 4)


x − 4 = 4


x = 8




Model 2: Another plan to secure the roller coaster involves using a cable and strut. Using the center of the half-circle as the origin, the concrete strut can be modeled by the equation and the mathematical model for the cable is. The cable and the strut will intersect.




6. Graph the cable and the strut on the model of the roller coaster using the graphing calculator. Take a screenshot of your graph and paste the image below, or sketch a graph by hand. (5 points)






7. Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)




root 2x+8=x-8


2x+8=x^2-16x+64


-x^2+18x-56=0


x^2-18x+56=0


x(x-4)-14(x-4)=0


(X-4)(x-14)=0


x=4 ,x=14


x=14




Model 3: Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region. Again, using the center of the half-circle as the origin, the struts are modeled by the equations and. A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart.




8. Graph the two struts on the model of the roller coaster. Take a screenshot of your graph and paste the image below, or sketch a graph by hand. (5 points)



Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.




9. Algebraically determine the x -value of where the beam should be placed. (15 points)



10. Explain where to place the beam. (10 points)

Answers

Answer:

Step 1: Equation for Roller Coaster Height.

The general form for the equation of a circle at the origin is:

[tex]\boxed{\left\begin{array}{ccc}\text{\underline{Equation of a Circle (at origin):}}\\\\x^2+y^2=r^2\\\\\bullet \ \text{where 'r' is the radius of the circle}\end{array}\right}[/tex]

It is given that the height of the roller coaster is 30 feet. Thus, r = 30. Plug this into the equation above and solve for 'y.'

[tex]\Longrightarrow x^2+y^2=(30)^2\\\\\\\\\Longrightarrow x^2+y^2=900\\\\\\\\\therefore \boxed{\boxed{y=\sqrt{900-x^2} }}[/tex]

Step 2: Graph of Roller Coaster Model.

Refer to the attached image(s).

Step 3: Equation for Horizontal Distance of Beams.

Going back to the equation we got in step (1), we can solve for the variable x.’

[tex]\Longrightarrow y=\sqrt{900-x^2}\\\\\\\\\therefore \boxed{\boxed{x=\pm\sqrt{900-y^2}}}[/tex]

Step 4: Algebraic Solution for Beam Placement.

Given a height, y = 25 ft. We can plug this into the equation above and solve for 'x.'

[tex]\Longrightarrow x=\pm\sqrt{900-(25)^2}\\\\\\\\\Longrightarrow x=\pm\sqrt{275}\\\\\\\\\Longrightarrow x=\pm5\sqrt{11}\\\\\\\\\therefore \boxed{\boxed{x\approx\pm16.58 \ ft}}[/tex]

Step 5: Placement of Beams.

The beams should be placed 16.58 feet from either side of the origin.

Step 6: Graph of Cable and Strut.

Refer to the attached image(s).

Step 7: Algebraic Intersection of Cable and Strut.

To find the point of intersection, set the two given equations (from model 2) equal to each other and solve for 'x.'

[tex]y=\sqrt{2x+8} \ \text{and} \ y=x-8\\ \\\\\\\Longrightarrow \sqrt{2x+8}=x-8 \\\\\\\\\Longrightarrow 2x+8=(x-8)^2 \\\\\\\\\Longrightarrow 2x+8=x^2-16x+64\\\\\\\\\Longrightarrow x^2-18x+56=0\\\\\\\\\Longrightarrow (x-14)(x-4)=0\\\\\\\\\therefore x=\{14,-4\}[/tex]

In order to determine which value of 'x' is correct we must verify the solution.

When x = 14:

[tex]\Longrightarrow 2(14)+8=(14-8)^2\\\\\\\\\Longrightarrow 36=36 \checkmark[/tex]

When x = -4:

[tex]\Longrightarrow 2(-4)+8=(-4-8)^2\\\\\\\\\Longrightarrow 0\neq 144[/tex]

Thus, the correct x-value is 14. Plug this into either given equations and solve for 'y.'

[tex]\Longrightarrow y =x-8\\\\\\\\\Longrightarrow y =14-8\\\\\\\\\therefore y=6[/tex]

Thus, the point of intersection is (14, 6).

Step 8: Graph of Two Struts.

Refer to the attached image(s).

Step 9: Algebraic Solution for Beam Placement.

To find the x-value of the beam placement, you need to find the point where the two strut equations are 2 feet apart. Set up an equation using the given functions and solve for 'x.'

[tex]\Longrightarrow y=\sqrt{x+8}-\sqrt{x-4}; \ y=2\\\\\\\\\Longrightarrow 2=\sqrt{x+8}-\sqrt{x-4}\\\\\\\\\Longrightarrow 2+\sqrt{x-4}=\sqrt{x+8}\\\\\\\\\Longrightarrow 4\sqrt{x-4}+x=x+8\\\\\\\\\Longrightarrow 4\sqrt{x-4}=8\\\\\\\\\Longrightarrow \sqrt{x-4}=2\\\\\\\\\Longrightarrow x-4=4\\\\\\\\\therefore \boxed{\boxed{x=8}}[/tex]

Step 10: Placement of Beam.

The beams will need to be placed 8 feet from either side of the origin.

help fast need done pls.

Answers

my brain is playing not smart on me right now

I think I have the answer, but it keeps saying I'm incorrect.

Answers

Answer:

B.

D.

Step-by-step explanation:

B is actually 141, not 14.1

(204 plus 98) is more than 250.7

This means that multiplying it by 8.3 would not even make it near 250.7

It would actually be 2506.6

Answer: Your answers are B and D.

If 14 cars and 10 vans are in a parking lot what is the radio of cars to vans

Answers

Answer: 7:5

Step-by-step explanation:

14:10 or could be 7:5

Solve 1/11 divided by 4
a
one forty fourth

b
44

c
four forty fourths

d
one fifteenth

Answers

Answer:

a ) one by forty fourth

Step-by-step explanation:

1/11 ÷ 4

= 1/11 x 1/4

= 1/44

therefore, the answer is one by forty fourth

Hope it's helpful..

Can someone please help me with this?

Show work please

Answers

The closet square inch that is needed to cover the cuboid is 208 inches ( option A)

What is surface area of a cuboid?

A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges.

The surface area of cuboid is given as;

SA = 2(lb+lh+bh)

lb = 33/4 × 4 = 33 in

lh = 23/4 × 4 = 23 in

bh = 23/4 × 33/4 = 759/16

SA = 2( 23+33+759/16)

SA = 46+66+47.44

SA = 207 in

therefore the closet square inches is 208 in²

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Need help understanding this question

Answers

Answer:

The number of large bars of chocolate sold is:

1/4 x 208 = 52

The number of small bars of chocolate sold is:

208 - 52 = 156

The total amount of money earned from selling the large bars of chocolate is:

52 x e1 = e52

The total amount of money earned from selling the small bars of chocolate is:

156 x 60p = £93.60

To convert e52 to pounds, we need to multiply by the exchange rate. Let's assume that the exchange rate is £1 = e1.20.

So, e52 = £52 x 1.20 = £62.40

Therefore, the total amount of money earned from selling all 208 bars of chocolate is: £62.40 + £93.60 = £156

What is the answers to 3/4 x 3/4

Answers

Answer: 9/16

Step-by-step explanation: Also known as (3/4)^2

1. 3x3/4x4

2. 9/4x4

3. 9/16

You can't simplify anymore because it is in the simplest form already.

write a explicit formula in slope intercept form.

an=-3+5(n-1)

Answers

An explicit formula in slope intercept form for the given expression is aₙ = 5n - 8.

What is the slope-intercept form?

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.

Based on the information provided above, we can logically deduce that an equation in slope-intercept form that models the situation is given by:

aₙ = -3 + 5(n - 1)

aₙ = -3 + 5n - 5

aₙ = 5n - 8

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4(x - 1)(3x - 1) = 0 answer? According to the Rational Root Theorem, the following are potential roots of f(x) = 2x + 2x - 24.-4,-3, 2, 3, 4Which are actual roots of f(x)?O-4 and 3O-4, 2, and 3O-3 and 4O-3, 2, and 4 Is the theoretical probability that the coin lands head up all three times is the same value as the theoretical probability that the coin lands tails up all three times? Explain. BRAINLIEST! Please write me a poem!! Please read the bottom information though first!! **************************************************************************************************************A Haiku poem has 3 lines. The first line has 5 syllables, the second line has 7 syllables, and the third line has 5 syllables. Write a Thanksgiving Haiku FILL THE BLANK Many proteins have a ______ design, which means that a particular type of amino acid unit may be found in several different proteins. what the island of puerto rico is part of the north american country of? Which of the following best describes the expansion in total railway line kilometers by 1850 in countries that possessed zerokilometers of railroad lines in 1830 ?O Britain possessed more railway lines in 1830 and expanded its lead significantly over France by 1850.O Areas in northwestern Europe adopted railroads more extensively than areas in other parts of Europe.O Europe had the largest expansion.O Germany had the largest expansion. Pax-6 is a gene that is involved in eye formation in many invertebrates, such as Drosophila. Pax-6 is found as well in vertebrates. A Pax-6 gene from a mouse can be expressed in a fly and the protein (PAX-6) leads to a compound fly eye. This information suggests which of the following?-PAX-6 proteins are different for formation of different kinds of eyes.-PAX-6 proteins have identical amino acid sequences.-PAX-6 from a mouse can function in a fly, but a fly's Pax-6 gene cannot function in a mouse.-Pax-6 is highly conserved and shows shared evolutionary ancestry.-Pax-6 genes are identical in nucleotide sequence. How is Nowzaradans Diet Plan? biologists believe that eukaryotic cells evolved from prokaryotes through which process? Discuss how you hope to apply the skills you will acquire from the study of therapeutic communication as a trainee nursein your professional nursing practice what is one of the most important internal controls for cash ? write a boolean expression that is true if the value of x is equal to zero. What is a forward logistics element?. Aaron has an unconventional swing, but he manages to drive the ball farther than some professional golfers. Suppose now that the container for this sample of helium gas develops a leak overnight while it is fixed at a constant volume. If the gauge pressure of the container drops from 9 to 4 atm during this period while the temperature drops from 27 to insulation to be 3 C., then determine the percentage of the original gas still remaining. giving someone the benefit of your full attention is a form of How to resolve' command phasescriptexecution failed with a nonzero exit code the product of permutation matrices is again a permutation matrix. True/False Matt is an athlete, but recently hes been feeling sluggish during practice. He needs to take more breaks because he feels tired. His doctor tells him that an organelle in his cells isnt working as it should. Which organelle is most likely the cause of Matts symptoms? A. Golgi apparatus B. lysosome C. mitochondrion D. ribosome E. vacuole