determine the area of the shaded region of a wooden patch in a circular park if the radius of the circle is: a. 8m b. 12

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer: Inductive reasoning.

Step-by-step explanation:

         This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").

Answer:

c=200+0.4Yd find determine equlibirum level investment is =400

Answer:im pretty sure its D

Step-by-step explanation:it goes through the origin

Answer:

37.5

Step-by-step explanation:z

2.0-1.25=0.75

0.75/2.00 x 100

37.5% decrease

Answer:

La media es 24

Step-by-step explanation:

La media se obtiene al sumar todos los numero y despues dividirlos entre la cantidad de numeros q son :

26+26+26+26+26+26+25+25+25+25+24+24+23+23+23+22+22+21+21+21 = 480

Despues.......

480÷20 = 24

( es entre 20 por q son 20 numeros )

Answer:

24

Para encontrar la media, sume todos los números y divida por el número de números dados.

Step-by-step explanation:

26+ 26+ 26+ 26+ 26+ 26+ 25+ 25+ 25+ 25+ 24+ 24+ 23+ 23+ 23+ 22+ 22+ 21+ 21+ 21​= 480

480 dividido 20 = 24

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Answer:

Step-by-step explanation:

343: = 7 * 7 * 7

x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x

y^12: = y^6 * y^6

z^6: = z^3 * z^3

So the square root  is

√343 = 7 √7

√x^9 = x^4√x

√y^12 = y^6

√z^6 = x^3

The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.

So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.

x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.

So the answer is

7  * x^4 * y^6 * z^3 * √7x

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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Answer:

42 cm²

Step-by-step explanation:

the length of the shaded area is the length of the white rectangle, that is

length = 7 cm

the width of the blue area is the length of the white rectangle subtract twice the width of the white rectangle, that is

width = 7 - (2 × 0.5) = 7 - 1 = 6 cm

shaded area = length × width = 7 × 6 = 42 cm²

Answer:

Maria

Step-by-step explanation:

Marias suitcase is heavier as 1600 grams to kg is 1.6kg which is less than Marias suitcase which weighs 14kg hope this helps:)

Answer:

45

scalene

acute

Step-by-step explanation:

Answer: The triangle classified by the sides is 59 degrees.  The triangle is classified by the angel is 1

Step-by-step explanation:

Answer: The answer is 35.43 feet rounded to the nearest hundredth.

Step-by-step explanation:  

Answer:

The answer is 35.43 feet rounded to the nearest hundredth.

Step-by-step explanation:

If it is a square and the area is 1,255, the width and height of the square is the same. Find the square root of 1,255 and it will give you the length of the height and width (they are both the same being a square).

Answer:

Approximately Normal

Step-by-step explanation:

Even though we don't know the shape of the population distribution of tensions, the sampling distribution of the sample mean will be approximately normal since the sample size is large (n=36≥30).

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer: 332 cubic inches

Step-by-step explanation:

You can eliminate 69 and 99 as those answers don't make any sense. This leaves you with 703 and 332.

It says the wall of the pipe is 1.25 inches thick so you multiply that by 2 and subtract it by the diameter to get the insider diameter of 5.5

Now you just use the equation V = (3.14)(r^2)(14) where the radius is half of 5.5.

So to finalize the equation you get V = (3.14)(5.5)^2(14) which comes out to 332 cubic inches

The best choice is 332 cubic inches.

69 cubic inches and 99 cubic inches are less and 703 cubic inches is a large approximation.

Diameter = d= 8 inches

Height= Length = l= 14 inches

Thickness= 1.25 inches

Outer Radius= R= diameter/2= 8/2=4 inches

Inner radius = r= Radius - thickness

                            = 4- 1.25= 2.75 inches

Volume of the cylinder = Area × length

                                      = π r²× l

                                       = 22/7 × (2.75)² × 14

                                          = 332. 616 inches cube

So the best answer is 332 cubic inches

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Calista's grade on her last assignment is 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

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Answer:

(x / 8) + 4 = 9

Step-by-step explanation:

follow the instructions of the question and then write the values

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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In this case, to identify the secret number we must take into account the different clues to be able to identify it easily. The secret number is 103845.

To identify the secret number we must take into account the following clues:

According to these clues we must analyze the choice of our numbers as shown below:

Then we will have found 4 digits of a 6 digit number.

To find the missing numbers we must take into account the following clue:

So we can conclude that numbers divisible by 3 must add up to a number that is divisible by 3. From the above, the last unfilled digits are 0 and 3.

Finally, it can be inferred that the secret number is 103845 because it meets all the clue requirements.

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Answer:

The 3.907 is approximate.

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

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

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

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

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

Extra info:

Answer:

perpendicular

Step-by-step explanation:

perpendicular because m1×m2=-1

Answer:

perpendicular

Step-by-step explanation:

Let's find the slope of both lines

For line 3x-6y=-1

-6y=-1-3x

y=1/6+½x

m=½

For line 18x+9y=-14

9y=-14-18x

y=-14/9-2x

m=-2

m1•m2=½×-2=-1

since m1•m2=-1 the lines are perpendicular

Answer: The area of the shape is 156.

Answer:156

Step-by-step explanation:

The real solutions of f(x) = 0 are -6, 0 and 8.

Function is an expression which is defined for the relationship between an independent variable and a dependent variable. In other words, it is related from a set which is called the domain to a set called range where the element in domain only has an image in range.

Given graph of a function.

f(x) = 0 implies that for particular values of x, the function maps to 0.

From the graph y = f(x)

We have to find the point values of x such that y value is 0.

These are the points where the graph touches the X axis.

The graph touches X axis at -6, 0 and 8.

Hence the real solutions of the function f(x) = 0 are  -6, 0 and 8.

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The number of students earning master’s degrees in mathematics or statistics in the country in 2009 was 4474.

We are given that;

g(x) = 7x² -226x + 4941

Now,

To find the number of students in 2009, we need to plug in x = 9 into the function g(x), since 2009 is 9 years after 2000.

g(9) = 7(9)² -226(9) + 4941

g(9) = 7(81) -2034 + 4941

g(9) = 567 -2034 + 4941

g(9) = 4474

Therefore, according to the function g(x) the answer will be 4474.

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Answer:

y = 4 and x = 12

Step-by-step explanation:

Step by step explanation in the pic. Atleast the way I did it.

Answer:

Answer is -5

Step-by-step explanation:

\(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\) is the possible root

What is a root ?

Mathematicians refer to a number as having a root if it can be multiplied by itself to give the original number. The square root of 49, for instance, is 7, as 77=49. 7 is referred to as the square root of 49 in this instance because it takes 49 to multiply 7 by itself twice. Considering that 333=27, the cube root of 27 is 3.

Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

3x^4 -10x^3 -9x^2 + 40x - 12

=\(\left(3x-1\right)\frac{3x^4-10x^3-9x^2+40x-12}{3x-1}\)

=\(\left(3x-1\right)\left(x^3-3x^2-4x+12\right)\)

= \(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\)

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Answer:

1

Step-by-step explanation:

The one stays the same because there a zero in the tenths place 5 to 9 is rounding up hope this helps you