The Taj Mahal is an enormous ivory-white marble monument in India that is known for
its architecture. More than 2 x 104 workers were involved in building the Taj Mahal.
Which number shows another way to express 2 x 10¹?

Answers

Answer 1

Answer:the iconic Indian building named Taj Mahal

Step-by-step explanation:


Related Questions

Make a conjecture about each pattern. Then write the next two items. 4. 1, 2, 2, 4, 8, 32, . . .​

Answers

Answer:

256, 8192

{This is an educated guess}

Step-by-step explanation:

The problem seems to be a variation of the Fibonacci sequence: 1, 1, 2, 3, 5, 8...

1 ⇒ 2: 1*2

2 ⇒ 2: 2*1

2 ⇒ 4: 2*2

4⇒8:4*2

8⇒32:8*4

32⇒256: 32*8

256*32 = 8192

A dietitian at a hospital wants a patient to have a meal that has 53 grams of protein, 41 grams of carbohydrates, and
87.5 milligrams of vitamin A. The hospital food service tells the dietitian that the dinner for today is salmon steak,
baked eggs, and acorn squash. Each serving of salmon steak has 20 grams of protein, 30 grams of carbohydrates,
and 1 milligram of vitamin A. Each serving of baked eggs contains 20 grams of protein, 3 grams of carbohydrates, am
25 milligrams of vitamin A. Each serving of acorn squash contains 3 grams of protein, 20 grams of carbohydrates, an
37 milligrams of vitamin A. How many servings of each food should the dietitian provide for the patient?
How many servings of each food should the dietitian provide? Select the correct choice below and fill in any answe
boxes within your choice.
salmon steak (x),
baked eggs (y), and acorn squash (z).
OA. The dietitian should provide
(Simplify your answers.)
OB. There are an infinite number of combinations of servings of salmon steak (x), baked eggs (y), and acorn
squash (z) that the dietitian can provide. Using ordered triplets, the solution can be written as {(x,y,z) | x=
y=
z is any real number}
(Simplify your answers. Type expressions using z as the variable as needed.)
OC. There are no combinations of servings of each food that the dietitian can provide.

Answers

nwm życzę powodzenia kolego drogi

At Keller's Bike Rentals, it costs $15 to rent a bike for 4 hours.
How many dollars does it cost per hour of bike use?

Answers

Answer:

3.75

Step-by-step explanation:

15/4=3.75

Answer:

12 1/3

Step-by-step explanation:

because when you find the total cost plus divide it gives u the answer

Полоску бумаги разрезали на 7 частей. После этого самую большую
из полученных частей снова разрезали на 7 частей. Затем снова самую большую
из полученных частей разрезали на 7 частей. Так поступили много раз: на
каждом шаге самую большую часть разрезали на 7 частей. Могло ли в итоге
получиться 500 частей?

Answers

Answer:

2556285=68358556

Step-by-step explanation:

+58385-5838688(68589)8999=9858288

Solve the system by back substitution.
-2x - 4y - z - 3w = -5
y + 6z + 2w = 8
4z + 4w = 8
-4w = -12
Solution should be set like {( _ , _ , _ , _ )}

Answers

Answer:

w = 3, x = -35/2, y = 8, z = -1

Step-by-step explanation:

Solve the following system:

{-3 w - 2 x - 4 y - z = -5

{2 w + y + 6 z = 8

{4 z + 4 w = 8

{-4 w = -12

In the fourth equation, look to solve for w:

{-3 w - 2 x - 4 y - z = -5

{2 w + y + 6 z = 8

{4 z + 4 w = 8

{-4 w = -12

Divide both sides by -4:

{-3 w - 2 x - 4 y - z = -5

{2 w + y + 6 z = 8

{4 z + 4 w = 8

{w = 3

Substitute w = 3 into the first, second, and third equations:

{-9 - 2 x - 4 y - z = -5

{6 z + y + 6 = 8

{4 z + 12 = 8

{w = 3

In the third equation, look to solve for z:

{-9 - 2 x - 4 y - z = -5

{6 z + y + 6 = 8

{4 z + 12 = 8

{w = 3

Subtract 12 from both sides:

{-9 - 2 x - 4 y - z = -5

{6 z + y + 6 = 8

{4 z = -4

{w = 3

Divide both sides by 4:

{-9 - 2 x - 4 y - z = -5

{6 z + y + 6 = 8

{z = -1

{w = 3

Substitute z = -1 into the first and second equations:

{-4 y - 2 x - 8 = -5

{y = 8

{z = -1

{w = 3

Substitute y = 8 into the first equation:

{-2 x - 40 = -5

{y = 8

{z = -1

{w = 3

In the first equation, look to solve for x:

{-2 x - 40 = -5

{y = 8

{z = -1

{w = 3

Add 40 to both sides:

{-2 x = 35

{y = 8

{z = -1

{w = 3

Divide both sides by -2:

{x = -35/2

{y = 8

{z = -1

{w = 3

Collect results in alphabetical order:

Answer: {w = 3, x = -35/2, y = 8, z = -1

[tex] \rm \int_{0}^1 \int_{0}^1x \bigg \{ \frac{1}{1 - xy} \bigg \}dydx \\ [/tex]​

Answers

The fractional part vanishes when the argument is an integer; in this case, for

[tex]\left\{\dfrac1{1-xy}\right\} = 0 \iff \dfrac1{1-xy} = n \iff xy = \dfrac{n-1}n[/tex]

which are hyperbolas in the [tex](x,y)[/tex]-plane.

Observe that between neighboring hyperbolas, we have

[tex]\dfrac{n-1}n < xy < \dfrac n{n+1} \\\\ ~~~~ \implies \dfrac1{n+1} < 1-xy < \dfrac1n \\\\ ~~~~ \implies n < \dfrac1{1-xy} < n+1 \\\\ ~~~~ \implies \left\{\dfrac1{1-xy}\right\} = \dfrac1{1-xy} - \left\lfloor\dfrac1{1-xy}\right\rfloor = \dfrac1{1-xy} - n[/tex]

Split up the integral over [tex][0,1)^2[/tex] along the curves [tex]xy=\frac{n-1}n[/tex]. The subregions somewhat resemble the layers or scales of an onion (see attached plot with the first 5 "scales").

Let [tex]S_n[/tex] denote the [tex]n[/tex]-th ([tex]n\in\Bbb N[/tex]) "scale", starting from the blue region closest to the origin and counting diagonally upward in the direction of (1, 1).

In Cartesian coordinates, the integral over [tex]n[/tex]-th "scale" is

[tex]\displaystyle \iint_{S_n} x \left(\frac1{1-xy} - n\right) \, dy \, dx \\\\\\ ~~~~~~~~= \int_{(n-1)/n}^{n/(n+1)} \int_{(n-1)/(nx)}^1 x \left(\frac1{1-xy} - n\right) \, dy dx \\\\\\ ~~~~~~~~~~~~~ + \int_{n/(n+1)}^1 \int_{(n-1)/(nx)}^{n/((n+1)x)} x \left(\frac1{1-xy} - n\right) \, dx[/tex]

(see attached plot of the 2nd "scale" for reference)

The integral is trivial, so I'll leave it to you to confirm that it drastically reduces to

[tex]\displaystyle \iint_{S_n} x \left(\frac1{1-xy} - n\right) \, dy \, dx = \frac1{2n (n+1)^2} = \frac12 \left(\frac1n - \frac1{n+1} - \frac1{(n+1)^2}\right)[/tex]

Now we recover the original integral by summing over [tex]\Bbb N[/tex].

[tex]\displaystyle \int_0^1 \int_0^1 x \left\{\frac1{1-xy}\right\} \, dy \, dx = \frac12 \sum_{n=1}^\infty \left(\frac1n - \frac1{n+1} - \frac1{(n+1)^2}\right) \\\\ ~~~~~~~~ = \frac12 \left(\left(1-\frac12\right)+\left(\frac12-\frac13\right)+\left(\frac13-\frac14\right)+\cdots\right) - \frac12 \sum_{n=2}^\infty \frac1{n^2} \\\\ ~~~~~~~~ = \frac12 - \frac12 \left(\sum_{n=1}^\infty \frac1{n^2} - 1\right) \\\\ ~~~~~~~~ = \frac12 - \frac12 \left(\frac{\pi^2}6 - 1\right) = \boxed{1 - \frac{\pi^2}{12}}[/tex]

hans bought three books at a bookstore. Here are the prices(in dollars). 6,19.1,6.97 what is the total amount Hans paid at the bookstore

Answers

Answer:

$32.07

Step-by-step explanation:

Just add them together.

two complementary angles are X + 4 degree and 2 x - 7 degree find the value of x​

Answers

Answer:

x+4+2x-7=180

3x-3=180

3x=183

x=61

For the function
f(x) = x + 10/6x + 4, consider the following.
(a)Find the vertical and horizontal asymptotes for the graph of f.
Vertical:
Horizontal:

b)Find f^ −1.
f^ −1(x) =

c)Find the vertical and horizontal asymptotes for the graph of
f^ −1
Vertical:
Horizontal:

Show all steps.

Answers

Using the concepts of asymptotes and inverse function, we have that:

a) For f, the vertical asymptote is x = -2/3 and the horizontal asymptote is y = 1/6.

b) The inverse function is: [tex]y = f^{-1}(x) = \frac{4x - 10}{1 - 6x}[/tex]

c) For the inverse function, the vertical asymptote is x = 1/6 and the horizontal asymptote is y = -2/3.

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

For this problem, the function is given by:

[tex]f(x) = \frac{x + 10}{6x + 4}[/tex]

The zero of the denominator is:

6x + 4 = 0

6x = -4

x = -4/6 = -2/3.

Hence the vertical asymptote is x = -2/3.

The horizontal asymptote is given as follows:

[tex]y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{x + 10}{6x + 4} = \lim_{x \rightarrow \infty} \frac{x}{6x} = \lim_{x \rightarrow \infty} \frac{1}{6} = \frac{1}{6}[/tex]

How to find the inverse function?

To find the inverse function of a function y = f(x), we exchange x and y then isolate y.

Exchanging x and y, we have that:

[tex]x = \frac{y + 10}{6y + 4}[/tex]

Applying cross multiplication:

x(6y + 4) = y + 10

6xy - y = 10 - 4x

y - 6xy = 4x - 10

y(1 - 6x) = 4x - 10

[tex]y = f^{-1}(x) = \frac{4x - 10}{1 - 6x}[/tex]

Applying the same procedure, for the inverse function, the vertical asymptote is x = 1/6 and the horizontal asymptote is y = -2/3.

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EASY QUESTION 20 POINTS

Answers

Answer:(7/9)^12

Step-by-step explanation:

Answer:

C. (7/9)^12

Step-by-step explanation:

(49/81)^6 = (7^2/9^2)^6 = (7/9)^(2x6) = (7/9)^12

One state has a 6% sales tax on clothing items priced at $75 or higher, and no sales tax on clothing items priced under $75. What is the total tax on the items in the table above?​

Answers

Hello! It seems that we need a table to answer this question, but it is not given to me in your question. I will help to guide your way, though!
For percentages, we turn it into a decimal (move it 2 places to the left) and then multiply by the number. Let’s use the example of 75 dollars. To find its tax, we would multiply $75 by .06. This equals $4.5. This means that the tax is equal to $4.5. Now we need to add this tax to our $75. 75 + 4.5 = $79.5. Our total price for this piece of clothing would be $79.5.

Let’s use another random price as an example - $84.95. $84.95 times .06 = $5.097. Now we add the tax. We would get a total of $90.047 (or $90.05, since we round to our nearest tenth in money).

For your table, you would find the tax for every individual clothing above $75. Your table says to add the total tax (NOT the totals of the prices) together. So, using the numbers I did, we would add $4.5 + $5.097. This equals $9.597, or $9.60 total tax for these items. (Note: You can just ignore items under $75)

Solve.
3z +2y-z = 8
2z+22=-4
z+3y=4

Answers

Answer:

(1, 1,-3)

Step-by-step explanation:

Express 88 kilometers per hour in miles per hour.
mi/hr
(Round to the nearest hundredth as needed.)

Answers

88 kilometers per hour in miles per hour is 54.68 mi/hr

Converting kilometers per hour to miles per hour

Note that:

1 km = 0.6214 miles

The measurement to convert is 88 kilometers per hour

Multiply 88 kilometers per hour by 0.6214 to convert to miles per hour

88 kilometers per hour = 88 x 0.6214 miles per hour

88 kilometers per hour = 54.6832 miles per hour

88 kilometers per hour =  54.68 mi/hr

Therefore, 88 kilometers per hour in miles per hour is 54.68 mi/hr

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Rewrite using an exponent.

Answers

Answer:

2[tex] {}^{5} [/tex]

Step-by-step explanation:

2×2×2×2×2 = 2[tex] {}^{5} [/tex]

The vertices of a figure are given. What are the coordinates of the image after the given dilation? Identify the type of dilation?
Q (-3,0), R (-3,6), T (4,6), U (4,0)
k=1/3

Answers

The new images has vertices Q´(-1, 0), R´(-1, 2), T´(4/3, 2), U´(4/3, 0) and the type of dilation is contraction.

When we dilate the points of a given figure, we simply multiply each x-coordinate and y-coordinate by the scale factor.

Here the points are Q (-3,0), R (-3,6), T (4,6), U (4,0) and the scale factor is

k = 1/3

Therefore,

⇒ Q (-3,0) → Q´ (-3 × 1/3,0 × 1/3) = (-1, 0)

⇒ R (-3,6) → R´  (-3 × 1/3, 6 × 1/3) = (-1, 2)

⇒ T (4,6) →  T´  (4 × 1/3, 6 × 1/3) = (4/3, 2)

⇒ U (4,0) → U´  (4 × 1/3, 0 × 1/3) = (4/3, 0)

Thus, the new images has vertices Q´(-1, 0), R´(-1, 2), T´(4/3, 2), U´(4/3, 0) and the type of dilation is contraction

What is dilation?

Dilation is the process of modifying the dimensions of an object or shape by varying some scale variables. For instance, a circle with a radius of 10 units gets shrunk to a circle with a radius of 5 units. This technique is applied in photography, fine art, logo design, and other fields.

Four fundamental categories of transformations exist in geometry.

These are:

RotationTranslationReflectionResizing or Dilation

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Tom bought a pencil case for $60 and sold it to gain a profit of 20% on his cost price.
(a) How much money did he gain? (b) How much money did he sell the pencil case for?

Answers

$60 x 1.20 = $72 - $60 = $12 profit

a. $12
b. $72

The radius of a circle is 12 inches. What is
the diameter?

Answers

Answer:

diameter is 24 inches

Step-by-step explanation:

diameter is basically two times the radius

Kristen goes on a cave tour with her family. They climb down to 8 meters below ground level.
Then they climb the opposite of -8 meters to return to ground level.
How many meters did they climb in all? Enter your answer in the box

Answers

Answer:

16 meters is the answer of this question

help please rn please help

Answers

Answer: the answer is MO=5

Step-by-step explanation:

y=-x+4
x + 2y = -8
How many solutions does this linear system have?
a. one solution: (8,0)
b. one solution: (0,8)
c. no solution
d. infinite number of solutions

Answers

The linear system of equation has one solution as x = 16 and y = -12.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given system of equation are :

y=-x+4..........(1)

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

Now, solving the above using substitution of y in equation (2) :

x + 2y = -8

x+2(-x+4) = -8

x-2x+8 = -8

-x = -16

x = 16

Now, substituting back x value in equation (1) we get :

y = -x+4

y = -16 +4

y = -12

Therefore, The linear system of equation has one solution as x = 16 and y = -12.

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The store is selling lemons at $0.65 each. Each lemon yields about 2 tablespoons of juice. How much
will it cost to buy enough lemons to make two 9-inch lemon pies, each requiring half a cup of lemon
juice?

Answers

The cost of buying lemons to make two 9-inch lemon pies is $5.20.

What is the total cost?

The first step is to convert cup to tablespoons

1 cup = 16 tablespoons

one 9-inch lemon pie would require 8 tablespoons (16 /2)

two  9-inch lemon pie would require 16 tablespoons (8 x 2)

The second step is to determine how much lemons would be needed.

Lemons needed = table spoons needed / table spoon one lemon would yield

16 / 2 = 8 lemons

The total cost of lemons needs to make the pies = cost of one lemon x number of lemons needed

8 x 0.65 = $5.20

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The sum of three consecutive odd numbers is 177. Find the number. Step by step please

Answers

X=57 is the required answer and 57 59 and 61 are the required numbers

Answer:

57, 59 and 61

Step-by-step explanation:

Let the first odd number be n The next consecutive odd number is n + 2 and the next one after that is n + 4
(consecutive odd numbers have difference of 2 between them. For example if 7 is the first odd number next one is 9(7+2) and the next one is 11(7+4)

We are given that the sum of the numbers is 177. So we have the following equation:

n + (n + 2) + (n +4) = 177

Simplifying gives

n + n + 2 + n + 4  = 177

Collect like terms:

n + n + n + 2 + 4 = 177
3n + 6 = 177

Subtract 6 from both sides
==> 3n = 177 - 6
==> 3n = 171

Divide by 3 both sides
3n/3 = 171/3

n = 57 and this is the first of the odd numbers

The next odd number is 57+ 2 = 59

and the next one after that is 59 + 2 = 61 (same as 57 + 4)

finding the common difference

5,11,____ , 23,29,____…

Answers

Answer:

5,11 , 17, 23, 29, 35

Step-by-step explanation:

Answer:

5, 11, 17, 23, 29, 36

Step-by-step explanation:

To get from 5 to 11, we add 6. Similarly, to get from 11 to _, we add 6, and get 17. This also works with 29 to _. We get 36.

A plumber has a 20Foot

Answers

Answer:

14

Step-by-step explanation:

I think the question is whether: "a plumber has a 20-foot piece of PVC pipe. how many 7/5 foot pieces can be cut from the 20-foot piece?"

Kenneth measured a hotel and made a scale drawing. The scale he used was 1 inch = 4 feet. The actual length of a room in the hotel is 20 feet. How long is the room in the drawing ​

Answers

Answer:

The room is 5 inches in the drawing.

Step-by-step explanation:

If the room is 20 feet and each inch in his drawing measures 4 feet what you need to do is see how many times 4 goes into 20.

4 times 5 = 20

So the answer would be 5

Hope it helps! =D

For the piecewise​ function, find the values ​g(​-6), ​g(1​), and ​g(8​).

Answers

The output values of ​g(​-6), ​g(1​), and ​g(8​) in the given piecewise function are -1, 6 and -6 respectively.

What are the output values of g(​-6), ​g(1​), and ​g(8​) in the given piecewise function?

Given the piecewise function in the question;

                   x + 5, for x ≤ 1

g(x) = {

                   2 - x, for x > 1

g(​-6) = ?​g(1​) = ?​g(8​) = ?

Determine the output value of g(-6), -6 falls in the domain of x ≤ 1,

Hence;

g(x) = x + 5

g(-6) = -6 + 5

g(-6) = -1

Determine the output value of g(1), 1 falls in the domain of x ≤ 1,

Hence;

g(x) = x + 5

g(1) = 1 + 5

g(1) = 6

Determine the output value of g(8), 8 falls in the domain of x > 1,

Hence;

g(x) = 2 - x

g(8) = 2 - 8

g(8) = -6

Therefore the output values of ​g(​-6), ​g(1​), and ​g(8​) in the given piecewise function are -1, 6 and -6 respectively.

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Graph the line with a slope of 1/3 passing through point (-1, -1)

Answers

Considering the expression of a line, the line is y= 1/3x -2/3 and the graph of this line is shown in the attached image.

Definition of line

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Knowing the value of slope m, substituting this value and the value of the point in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

Line in this case

In this case, you know:

The line has a slope of 1/3The line passes through point (x,y)=(-1, -1)

Substituting the value of the slope m:

y= 1/3x +b

Substituting the point to calculate the value of b:

-1= 1/3×(-1) + b

-1= -1/3 + b

-1 + 1/3= b

-2/3= b

Finally, the line is y= 1/3x -2/3 and the graph of this line is shown in the attached image.

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5 1/2 x 1 1/4
put in simplest form

Answers

Answer:

6 7/8

Step-by-step explanation:

First we would need to turn the 5 1/2 into a improper fraction. Then, do the same for the 1 1/4 as well. To do this, multiply the denominator by the whole number and then add the numerator. Once you get those values, you simply multiply across, meaning the numerators get multiplied together and the denominators get multiplied together. The value you get is the improper fraction form of the simplest form. Then you can convert it back to a mixed fraction if that is the form you need. To do this divide the numerator by the denominator. Now we have a value of 11/2 x 5/4 = 55/8. So divide 55 by 8 and leave the remainder in fraction form. Therefore the answer should be 6 7/8, after it is reduced.

I hope this helps, have a blessed day! :)

Calculate (multiply (1-2i)(6+5i)

Answers

Answer:

-7 i + 16

Step-by-step explanation:

Simplify the following:

(-2 i + 1) (5 i + 6)

(1 - 2 i) (6 + 5 i) = (1) (6) + (1) (5 i) + (-2 i) (6) + (-2 i) (5 i):

6 + 5 i - 2 i×6 - 2 i×5 i

-2×6 = -12:

6 + 5 i + -12 i - 2 i×5 i

-2 i×5 i = -2 i^2 5:

6 + 5 i - 12 i + -2 i^2×5

i^2 = -1:

6 + 5 i - 12 i - 2-1×5

-2 (-5) = 10:

6 + 5 i - 12 i + 10

6 + 5 i - 12 i + 10 = (6 + 10) + (5 i - 12 i) = 16 - 7 i:

Answer:  -7 i + 16

Answer: your answer to this question would be 16-7i

Step-by-step explanation:

Given the graphs of f(x) and g(z) below, find the composition of functions f(g(-1)).

Answers

The composition of the functions, f(g(-1)) = 2.

How to Find the Composition of Functions?

To find the composition of the functions, f(g(-1)), first, find the function, g(-1) by tracing the value of y that will give an x-value of -1 on the function graph.

The next step is to use the value you get in the first step to trace which value of y will give an x-value equivalent to what you got in the first step on the second function graph.

Thus, from the graph of g(x), g(-1) = 0. Using the graph of f(x), the value of y when x = 0 is 2.

Therefore, the composition of the functions, f(g(-1)) = 2.

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professor boredom has noticed that his students keep falling asleep during his lectures. he thinks that keeping the lights in the lecture hall on at their brightest level will help to keep students awake. he decides to give the same lecture to three groups of people. he holds one class session with bright lights, one class session with normal lighting, and one class session with dim lights. professor boredom has a teaching assistant count the number of sleepers at the end of each class. if you see this please answer now. Help needed!Eres Rebecca. _____ con Cristina y Pol? S, nos gusta pasar el rato en la casa los lunes en la tarde.JuegasJugasCuentamosContamos SERIOUS WRITERS ONLYWrite a thematic analysis that is 3-4 paragraphs in length and identifies and explains a theme of Nicholas Stuart Gray's short story "The Star Beast."Be sure to --Clearly identify a theme of the story Use text evidence to defend and explain the theme I need help with 47 please Which of the following numbers is irrational? -4.8237, pi/2, the square root of 4 to the third power, or 4 + the square root of 25 Given n(J) = 255, n(K) = 186 and n(J K) = 429, find n(J K). then drag the labels of group 2 to their respective targets to identify how o2 and co2 cycle in the ecosystem. please help in answering these 3 questions in science!!(picture of questions attached) Evaluate the following expression: (3x+2)+5 what safety rule does not apply to the organic chemistry laboratory? no eating, drinking, or smoking in the laboratory. wear proper clothing at all times. wear enclosed safety goggles at all times while in the laboratory. follow all safety instructions in the laboratory text or given by the teaching assistant. none of the choices are correct. the sum of three consecutive odd integers is 321. what are the three consecutive odd integers?define in words variables for the unknown valuescreate an equationsolve using algebra A single-turn square loop of wire, 2.00 cm on each edge, carries a clockwise current of 0.200 A . The loop is inside a solenoid, with the plane of the loop perpendicular to the magnetic field of the solenoid. The solenoid has 30.0 turns/cm and carries a clockwise current of 15.0A . Find (b) the torque acting on the loop. A = P(1+r)tnThe formula above is used to calculate compound interest. A represents the amount of money accumulated after n years, including interest; P is the initial principal amount (i.e.,the initial amount deposited); stands for the annual rate of interest as a decimal; and trepresents the number of years and in the number of times the interest is compounded, peryear. If Serina deposits $500 in an account earning 5% interest compounded semiannually and keeps the money in her account for three years, how much money will she have at the end of the five years? Round your answer to thenearest dollar.A $515.00B $530.00C $670.05D$710.10 the information in the following table for the next few questions. The following statistics represent samples of copper wire submitted by two companies for tensile strength testing (psi).Statistic Company A Company BArithmetic Mean 500 600Median 500 500Mode 500 300Standard Deviation 40 20Mean Absolute Deviation 32 16Quartile Deviation 25 14Range 240 120Sample Size 100 80The middle 95% of the wires from Company A tested between _____ and _____ . Record ONLY the lower limit as a whole number.The middle 50 percent of the wires of Company A tested between _____ and _____. Record ONLY the lower limit as a whole number.Which company's distribution has the larger dispersion (answer either 'A' or 'B')?The variance for Company A is _____? (whole numbers only) A 8.07 g sample of HCN is found to contain 0.299 g of H and 4.18 g of N. Find the mass of carbon in a sample of HCN with a mass of 3.28 g . why does the author write about the kentucky student voice team Sourav was heating oil to fry potato chips. The cooking oil all of a sudden caught fire. He took water to pour on the fire to extinguish it. But meanwhile his mother came and switched off the gas and covered the wok completely with a plate. Do you think pouring water to the burning oil would have worked? Why? Do you think what Souravs mother had done is right? Why? Can you suggest other ways in which we can stop fire due to burningoil? What values of Sourav and Souravs mother are shown here? a survey regarding truck engines found a positive correlation between the size of the engine and horsepower the engine produces. answer the following question based only on this information. true or false: it can be concluded that trucks with larger engines have greater horsepower. Can luck and coincidence be considered the same thing since both are technically scientific and represent the same situation? Which Reconstruction plan does the Pardon (left) half of the above political cartoon illustrate?