1. This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this
composite figure? Show you work.
30
4 m
5.5 m

The buildings that represent the influence of ancient Greek culture are -

Given are the buildings from Ancient Greek Culture.

The buildings that represent the influence of ancient Greek culture are -

Therefore, the buildings that represent the influence of ancient Greek culture are -

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$132.90\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years \end{cases} \\\\\\ 132.90 = (6000)(0.055)(t)\implies \cfrac{132.90}{(6000)(0.055)}=t\implies \cfrac{443}{1100}=t \\\\\\ \stackrel{\textit{converting that to days}}{\cfrac{443}{1100}\cdot 365} ~~ \approx ~~ 147~days\)

now, if we move back from August 14th by 147 days backwards, that'd put us on March 20th.

Cost of Jolly Ranchers per ounce

\(\\ \sf\longmapsto 1\div 20=0.05\$\)

Cost of Skittles per ounce

\(\\ \sf\longmapsto 1.5\div 30=0.05\$\)

Same prices

Answer:

714

Step-by-step explanation:

587,714 they arrange in orderly form

A number greater than 714,587 is 714,588

The complete question is added as an attachment

From the attached figure, we have:

Passengers = 714,587

Numbers greater than 714,587 would have a value greater than 714,587

This is represented as:

x > 714,587

The above inequality represents numbers greater than 714,587

An example of such number is 714,588

Hence, a number greater than 714,587 is 714,588

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Answer:

x - 8

Step-by-step explanation:

Plug in -1 for x and you get x - 8

Answer:

30 cuzzo

Step-by-step explanation:

its 30 because 2 times 15 is 30

The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.

To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.

However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.

Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.

To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.

Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.

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Answer:

The temperature at 10 am in the morning was 1 degree below zero.

First, we know at 8 am that the temperature was 3 degrees below zero so that number is -3 and it’s our starting number.

Next, it says an hour later the temperature has gone up 6 degrees so we have -3 + 6 and we get a sum of positive 3.

Finally, at 9 am the temperature dropped again but this time 4 degrees so 3 - 4 = -1

The temperature at 10 am in the morning was 1 degree below zero.

Step-by-step explanation:

Answer:

at 8am it went down -3 below zero

at 9 am it went up +6 degrees

at 10am it went back down -4 degrees

so 6 + (-7) = -1 degrees was the temp at 10 am

Step-by-step explanation:

Hope this helps you :)

The Operating income is $172,500.

To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.

a. Margin of Safety:

Margin of Safety = Actual Sales - Break-even Sales

Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:

Margin of Safety = $1,100,000 - $750,000 = $350,000

Therefore, the margin of safety is $350,000.

b. Margin of Safety as a Percentage of Sales:

Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100

Using the values from the previous calculations:

Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%

Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.

c. Contribution Margin Ratio:

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

To calculate the contribution margin, we need to subtract variable costs from sales:

Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000

Using the values, we can calculate the contribution margin ratio:

Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%

Therefore, the contribution margin ratio is approximately 41.36%.

d. Operating Income:

Operating Income = Sales - Variable Costs - Fixed Costs

Using the values provided:

Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500

Therefore, the operating income is $172,500.

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Answer:

A (1,6)

B (-2,-5)

C(-2,8)

D(4,-9)

E(3,8)

Hope this is what you're looking for

Step-by-step explanation:

When in a right angle triangle, the right angle has two angles inside it i.e. x+4° and  3x+2°, x is equal to 21.

what exactly is a triangle?

A triangle is a three-sided polygon, which is a two-dimensional shape with straight sides. It is one of the simplest and most common geometric shapes in mathematics. A triangle is defined by its three sides and three angles.

The total sum of the angles of a triangle is always equal to 180 °. The length of the sides and the size of the angles can vary, giving rise to different types of triangles, such as equilateral, isosceles, scalene, acute, obtuse, and right triangles.

Now,

The sum of two adjacent angles inside a 90° angle is 90°. So, we can set up an equation:

x + 4 + 3x + 2 = 90

Simplifying the left side by combining like terms:

4x + 6 = 90

Subtracting 6 from both sides:

4x = 84

Dividing by 4:

x = 21

Therefore, The value of  x is 21.

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There needs to be   6     gallons of 35 % alcohol solution

and    3     gallons of 50 % solution.

======================================================

Explanation:

x = number of gallons of the 35% solution

y = number of gallons of the 50% solution

The two amounts must add to 9 gallons, so x+y = 9

This solves to y = 9-x

Since we want 9 gallons of 40% alcohol solution, this means we want 0.40*9 = 3.6 gallons of pure alcohol.

----------------

0.35x = amount of pure alcohol from the first batch

0.50y = amount of pure alcohol from the second batch

0.35x+0.50y = total amount of pure alcohol

Set that expression equal to the 3.6 figure calculated earlier (the total amount of pure alcohol we're after) and we get this equation

0.35x+0.50y = 3.6

----------------

Next, we replace y with 9-x and then solve for x.

0.35x+0.50y = 3.6

0.35x+0.50(9-x) = 3.6

0.35x+4.5-0.50x = 3.6

-0.15x+4.5 = 3.6

-0.15x = 3.6-4.5

-0.15x = -0.9

x = -0.9/(-0.15)

x = 6

We'll need 6 gallons of the 35% solution

Use this x value to find y

y = 9-x

y = 9-6

y = 3

We'll also need 3 gallons of the 50% solution

Answer:

Step-by-step explanation:

183,883,72

Answer:

18388372

Step-by-step explanation:

1 )Use the algorithm method.

      3 2 1 7

×              5      7      1      6

        1      1       1      4                      

        1      9      3      0     2            

        3 2  1  7 0

  2 1  1     4  

  2 2 5    1       9      0     0

1  1     3

1  6 0 8   5       0      0     0

      1  1    1

1  8 3 8   8       3       7     2

2 )Therefore, 3217 × 5716 = 18388372.

18388372

Answer:

162

Step-by-step explanation:

2, 2*3, 2*3*3, 2*3*3*3, 2*3*3*3*3=162

Answer: 3.0 minutes

Step-by-step explanation:

Answer:

78 degrees

Step-by-step explanation:

Angles PLR and NLR are supplementary, so 102+x=180.

x=78

A photograph having length of 24 inches which is proportionate to another photograph having dimensions 3 × 4 inches, has width of 18 inches.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

Let the width of the photograph be x inches.

The length of the photograph is 24 inches.

A similar proportion photograph has width as 3 inches.

A similar proportion photograph has length as 4 inches.

The equation to find the width of photograph is -

x / 24 = 3 / 4

Simplify the equation -

x = (24 × 3) / 4

x = 72 / 4

x = 18

Therefore, the width value is 18 inches.

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer: B

Step-by-step explanation:

We can define the North as our positive y-axis, and the East as the positive x-axis.

The position of the airport is the (0, 0)

Then the position of the first plane is: (200 km north and 50 km east)

(50km, 200km)

The position of the other plane is: (30 km north and 100 km west)

(-100km, 30km)

Now, if we have two points (a, b) and (c, d)

The distance between those points is:

D = √( (a - c)^2 + (b - d)^2)

Then the distance between the planes is:

D = √( (50km - (-100km))^2 + (200km - 30km)^2)

D = √( (150km)^2 + (170km)^2)

D = 226.7km

Then the distance is closest to 200km, the correct option is B.

On a coordinate plane, we have:

The closest distance between the planes is 200km

The positions of the two planes is given as:

\(A = (50,200)\) --- 50km east and 200km north

\(B = (-100,30)\) --- 100km west and 30km north

The distance between the planes is calculated using the following distance formula:

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

So, we have:

\(d = \sqrt{(50--100)^2 + (200-30)^2}\)

\(d = \sqrt{150^2 + 170^2}\)

\(d = \sqrt{51400}\)

\(d = 226.72km\)

From the list of given options, 200km is the closest to 226.72km

Hence, the closest distance between the planes is 200km

See attachment for the positions of both planes

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Answer:

multiplication by -1 will reflect over the x-axis

multiplication by a positive number will "scale" or "stretch" the function

Step-by-step explanation:

Answer:

i dont see pic

Step-by-step explanation:

Answer:

x=48

Step-by-step explanation:

They are vertical angles.

Answer:

x = 13

y = -10

z = -7

Step-by-step explanation:

x+y+z=−4

2x+3y−2z=10

−x+2y−3z=−12

Add the first and the third equations to eliminate x

x+y+z=−4

−x+2y−3z=−12

--------------------

  3y -2z = -16  Equation A

Add the second and twice the third equation to eliminate x

2x+3y−2z=10

−2x+4y−6z=−24

----------------------------

     7y -8z = -14  Equation B

Take Equation A and multiply by -4

-4*(  3y -2z) = (-16)*-4

-12y + 8z = 64

Add this to Equation B

-12y + 8z = 64

 7y -8z = -14

-----------------------

-5y = 50

Divide by -5

-5y/-5 = 50/-5

y = -10

Now using equation A

  3y -2z = -16  

3*-10 -2z = -16

-30 -2z = -16

Add 30 to each side

-2z = -16+30

-2z = 14

Divide by -2

-2z/-2 = 14/-2

z = -7

Now find x using the first equation

x+y+z = -4

x -7-10 = -4

x -17 = -4

Add 17 to each side

x-17+17 = -4+17

x = 13

That would be 0! hope that helped

Answer:

0

Step-by-step explanation:

2x2=4, 4 divided by 2=2, 2-2=0

I agree with B. Only Katie because her statement that a counter-example is 2 and 23, which are two primes whose product is not odd.

A prime number is a whole number greater than 1 that cannot be exactly divided evenly by any other number other than itself.

The 25 prime numbers from 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

The product of 2 and 23 is 46, which is an even number and not an odd number.

Thus, while the product of 6 and 7 are even, 6 in Tom's counter-example is not a prime number.

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Answer:

-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3

I hope it will be useful.

Answer: B. 10

-5C3 or 5 choose 3 refers to how many combinations are possible from 5 items, taken 3 at a time. To calculate combinations, we will use the formula nCr = n! / r! ... * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.

-10 is the total number of all possible combinations for choosing 3 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 3 can also be written as 5C3 in the format of nCr or nCk.

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

1. In order to find the gradient of equation, you have to make it into slope-form equation y = mx + b :

\(2y - 8x = - 2\)

\(2y = 8x - 2\)

\(y = \frac{8}{2} x - \frac{2}{2}\)

\(y = 4x - 1\)

So m represents gradient. In this question, m is 4.

2. Make it into slope-form equation :

\(3y = - 15x - 15\)

\(y = - \frac{15}{3} - \frac{15}{3} \)

\(y = - 5x - 5\)

In this question, y-intercept is b which is -5.

3. You have to substitute x-coodinate into the equation to see whether it is equal to y-coordinate :

\(y = 2x + 10\)

\(let \: x = 3\)

\(y = 2(3) + 10\)

\(y = 6 + 10\)

\(y = 16 \: (incorrect)\)