On an adventure quest,the hero fights werewolves and vampires in a ratio of 2:5. If he fights 28 werewolves in total, how many vampires does he fight?

8,99,999 in international system:-

899,999= Eight hundred ninety-nine thousand nine hundred ninety-nine

Answer:

d = -6.5

Step-by-step explanation:

Simply take 2 side-by-side numbers and subtract them to find your common difference:

d = -4 - 2.5 = -6.5

Answer:

B. -6.5

explanation:

Basiclly what the person above said, to find the common number, subtract two numbers together. After it gives you the common ration, prove the answer it gives you by adding the common ration with a number in the sequence to give you the number before, example:

9 - 2.5 = 6.5

6.5 + 2.5 = 9

Hope it helps!

The area of the composite figure is 89.065 ft^2

We can divide the figure into 3 simpler ones, these are:

A rectangle of 5ft by 2 ft

A rectangle of 8ft by 9 ft

A fourth of a circle of radius R = 3ft

Remember that the area of a circle of radius R is:

A = 3.14*R^2

Then the area of the fourth a circle of radius R = 3ft is:

a = (1/4)*3.14*(3ft)^2 = 7.065 ft^2

And the areas of the rectangles are equal to the product between the dimensions, so the areas are:

a' = 5ft*2ft = 10ft^2

a'' = 8ft*9ft = 72 ft^2

The total area is the sum of these:

7.065 ft^2 + 10ft^2 +72ft^2 = 89.065 ft^2

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The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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Answer:

if this is helpful to you...

plz do follow

(a) We find that t ≈ 5.7 years. So the car will be worth $9000 when it is approximately 5.7 years old. (b) we find that t ≈ 5.0 years. So the car will be worth $8000 when it is approximately 5.0 years old. (c) we find that t ≈ 13.4 years. So the car will be worth $1000 when it is approximately 13.4 years old.

To find when the car will be worth a certain amount, we can set V(t) equal to that amount and solve for t.
(a) To find when the car will be worth $9000:
$9000 = \(14,704(0.84)^t\)
Divide both sides by 14,704:
0.612 = \(0.84^t\)
Take the logarithm of both sides (using either base 10 or natural logarithm):
log(0.612) = t log(0.84)
Solve for t:
t = log(0.612) / log(0.84)
Using a calculator, we find that t ≈ 5.7 years. So the car will be worth $9000 when it is approximately 5.7 years old.
(b) To find when the car will be worth $8000:
$8000 = \(14,704(0.84)^t\)
Following the same steps as before, we find that t ≈ 5.0 years. So the car will be worth $8000 when it is approximately 5.0 years old.
(c) To find when the car will be worth $1000:
$1000 = \(14,704(0.84)^t\)
Following the same steps as before, we find that t ≈ 13.4 years. So the car will be worth $1000 when it is approximately 13.4 years old.

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Answer:

$24272.62

Step-by-step explanation:

Given data

Principal= $10,000

Rate= 3%

Time = 30 years

The expression for the compound interest is given as

A= P(1+r)^t

Substitute

A=10000(1+0.03)^30

A=10000(1.03)^30

A=10000*2.4272

A= 24272.62

Hence the final Amount A=$24272.62

That's a general overview of how to use Solver in Excel to solve optimization problems. If you have a specific problem in mind, please provide the details, and I'll be happy to assist you further.

Excel Solver is an add-in tool in Microsoft Excel that allows you to find an optimal solution for a given problem by adjusting certain variables.

To use Excel Solver, you need to set up a model that includes the objective function to optimize and any constraints or limitations on the variables.

The Solver then iteratively adjusts the variables to find the optimal solution that maximizes or minimizes the objective function while satisfying the constraints.

Here's a step-by-step explanation of how to use Excel Solver:

Set up your Excel spreadsheet: Start by organizing your data in a spreadsheet.

You should have a section for input variables, the objective function, and any constraints.

This could be a mathematical formula or a cell reference in your spreadsheet.

Open Solver: Go to the "Data" tab in Excel and click on "Solver" in the "Analysis" group. The Solver Parameters window will appear.

Remember to round your answer according to the requirements of your specific problem.

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Answer:

f ( x )  = \(x^{3}\) −  2 \(x^{2}\)  +  x  +  C

The cardinality of the subgroup generated by P is the number of distinct points in this list. However, since the list repeats after some point, we can conclude that the subgroup generated by P has a cardinality of 6.

To find the points that satisfy the equation y^2 = x^2 + ax + b (mod p) with the given parameters, we can substitute the values of a, b, and p into the equation and calculate the points.

Given parameters:

a = 1

b = 4

p = 7

The equation becomes:

y^2 = x^2 + x + 4 (mod 7)

To find the points that satisfy this equation, we can substitute different values of x and calculate the corresponding y values. We start with the point P = (0, 2), which is given.

Using point addition and doubling operations in elliptic curve groups, we can calculate the multiples of P:

1P = P + P

2P = 1P + P

3P = 2P + P

4P = 3P + P

Continuing this process, we can find the multiples of P. However, since the given elliptic curve group is defined over a finite field (mod p), we need to calculate the points (x, y) in modulo p as well.

Calculating the multiples of P modulo 7:

1P = (0, 2)

2P = (6, 3)

3P = (3, 4)

4P = (2, 1)

5P = (6, 4)

6P = (0, 5)

7P = (3, 3)

8P = (4, 2)

9P = (4, 5)

10P = (3, 3)

11P = (0, 2)

12P = (6, 3)

13P = (3, 4)

14P = (2, 1)

15P = (6, 4)

16P = (0, 5)

17P = (3, 3)

18P = (4, 2)

19P = (4, 5)

20P = (3, 3)

21P = (0, 2)

The multiples of P in the given elliptic curve group are:

(0, 2), (6, 3), (3, 4), (2, 1), (6, 4), (0, 5), (3, 3), (4, 2), (4, 5), (3, 3), (0, 2), (6, 3), (3, 4), (2, 1), (6, 4), (0, 5), (3, 3), (4, 2), (4, 5), (3, 3), ...

Therefore, the cardinality of the subgroup generated by P is 6.

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DIscount = 121/2 % 0ff

Answer:

1.72r²

Step-by-step explanation:

total Rectangle area = 4r*2r = 8r²

total circles area = 2(π r²) = 2*3.14*r² = 6.28r²

then:

the area of the shaded region:

= 8r² - 6.28r²

= (8-6.28)r²

= 1.72r²

Answer:

2r²(4 - π)

Step-by-step explanation:

The shaded area (A) is calculated as

A = area of rectangle - area of 2 circles

The rectangle has a length of 4r and a width of 2r , then

A = (4r × 2r) - (2πr²)

   = 8r² - 2πr² ← factor out 2r² from each term

    = 2r²(4 - π)

Answer:

384.3

Step-by-step explanation:

Answer:

(x-9)^2 +(y-12)^2 = 225

Step-by-step explanation:

First find the length of the radius

If is the distance from the center to the point

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

   = sqrt( (0-9)^2 + (0-12)^2)

   = sqrt ( 81+144)

  = sqrt(225)

  = 15

The equation for a circle is

( x-h) ^2+ (y-k)^2 = r^2

(x-9)^2 +(y-12)^2 = 15^2

(x-9)^2 +(y-12)^2 = 225

Answer:

69

Step-by-step explanation:

4x3=12

9x5=45

2x6=12

45+12+12=69

Answer:

If we take the drops as negatives, and the climbs as positives (the answer will be the absolute value of these) we get:

-221 +174 -156.

When you add these together, you get -203. So the overall vertical change is the absolute value of this, or 203 ft.

Hi again! The equation to the function would be..

y = 1/2x + 1 (assuming that the initial value is one)

Option B : Gelo bought a wallet for PHP 250 with a 12% discount and a belt for PHP 230 with a 25% discount. Gelo paid a total of PHP 392.50 for both items.

First, we need to calculate the amount of the discount for the wallet and the belt. The discount for the wallet is 250 * 12/100 = 30. The discount for the belt is 230 * 25/100 = 57.5.

Next, we subtract the discount from the original price to find the amount paid for each item. The amount paid for the wallet is 250 - 30 = 220. The amount paid for the belt is 230 - 57.5 = 172.5.

Finally, we add up the amount paid for both items to find the total amount paid: 220 + 172.5 = 392.5.

Therefore, Gelo paid a total of 392.5, so the correct answer is (b) PHP 392.50.

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Option B : Gelo bought a wallet for PHP 250 with a 12% discount and a belt for PHP 230 with a 25% discount. Gelo paid a total of PHP 392.50 for both items.

First, we need to calculate the amount of the discount for the wallet and the belt. The discount for the wallet is 250 * 12/100 = 30. The discount for the belt is 230 * 25/100 = 57.5.

Next, we subtract the discount from the original price to find the amount paid for each item. The amount paid for the wallet is 250 - 30 = 220. The amount paid for the belt is 230 - 57.5 = 172.5.

Finally, we add up the amount paid for both items to find the total amount paid: 220 + 172.5 = 392.5.

Therefore, Gelo paid a total of 392.5, so the correct answer is (b) PHP 392.50.

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The graph of the piecewise function is attached

The function is continuous at x = -1 and x = 2

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \left\{ \begin{array}{lr} -2, & \text{if } -2 \le x \le -1\\ x, & \text{if } -1 < x \le 2 \\ 3x, & \text{if } x > 2 \end{array}\)

To plot the graph of the piecewise function, we plot each function in its domain

Using the above as a guide, the graph is attached

Also

The function is continuous at x = -1 and x = 2

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The function f(x) = 8x² + 4x written in vertex form include the following: A. f(x) = 8(x + 0.25)² - 1/2.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

In order to write the given function in vertex form, we would have to apply completing the square method as follows;

f(x) = 8x² + 4x

f(x) = 8[x² + 0.5x]

f(x) = 8[x² + 0.5x + (0.5/2)² - (0.5/2)²]

f(x) = 8[(x² + 0.5x + 1/16) - 1/16]

f(x) = 8[(x + 0.25)² - 1/16]

f(x) = 8(x + 0.25)² - 8/16

f(x) = 8(x + 0.25)² - 1/2

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Complete Question:

What is f(x) = 8x² + 4x written in vertex form?

f(x) = 8(x + 0.25)² - 1/2

f(x) = 8(x + 0.25)² - 1/16

f(x) = 8(x + 0.5)² - 2

f(x) = 8(x + 0.5)² - 4

Answer:

d

Step-by-step explanation:

The value of x is 5.

The length of ST is 16.

Collinear points are the points that lie on the same straight line or in a single line.

Given:

RS = 5x - 9 and RT = 3x + 17

As, R, S and T are collinear points.

so, we can write

RS = ST

and, RS + ST = RT

2ST = Rt

ST= RT/2

ST = (3x+ 17)/2

Now,

RS = ST

5x - 9 =  (3x+ 17)/2

10x - 18 = 3x+ 17

7x = 35

x=5

So, the value of x is 5.

Now, length of ST

= (3x+ 17)/2

=(3*5 + 17)/2

=32/2

=16

Thus, length of ST is 16 units

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The answer is c) 50%. A random sample means that each member has an equal chance of being selected. This means that out of a sample size of any number, the percentage of members selected will always be 50%.

For example, if we have a random sample of 100 members, 50 of them will be selected. This principle applies to any population size, regardless of whether it's 10 or 10,000. It's important to note that this applies only to random samples, as non-random samples can have a biased selection process which affects the percentage of members selected. In summary, the percent of members in a random sample that have an equal chance of being selected is always 50%.

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To determine the proportion of respondents who felt vulnerable to identity theft, we can use a confidence interval with a specified confidence level. Let's assume we want a 95% confidence level. Here's how we can calculate it:

1. Gather the data: Determine the total number of respondents in the poll and the number of respondents who answered "yes" to feeling vulnerable to identity theft.

2. Calculate the proportion: Divide the number of "yes" responses by the total number of respondents to find the proportion of respondents who felt vulnerable to identity theft.

3. Determine the critical value: For a 95% confidence level, the critical value is approximately 1.96. This value can be obtained from a standard normal distribution table or a statistical software.

4. Calculate the standard error: Multiply the proportion by the square root of (1 minus the proportion), and then divide it by the square root of the total number of respondents.

5. Calculate the margin of error: Multiply the critical value by the standard error.

6. Calculate the confidence interval: Subtract the margin of error from the proportion to obtain the lower bound of the confidence interval. Add the margin of error to the proportion to obtain the upper bound of the confidence interval.

By using a confidence level, we are estimating a range within which the true proportion of respondents who feel vulnerable to identity theft lies. A 95% confidence level means that if we were to repeat this poll many times, we would expect the true proportion to fall within our calculated confidence interval 95% of the time.

Based on the data from the research institute poll, we can use a confidence level to estimate the proportion of respondents who felt vulnerable to identity theft. This will provide a range within which the true proportion is likely to fall.

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Answer:

∴ 5.5% is 55 m of 1 km.

___________________

The statements with respect to the depreciation of property under MACRS that incorrect is The cost of property to which the MACRS rate is applied is not reduced for estimated salvage value. The correct answer is D.

In MACRS (Modified Accelerated Cost Recovery System), the cost of property is reduced by the estimated salvage value before applying the depreciation rate.

The salvage value represents the estimated value of the property at the end of its useful life, and it is subtracted from the cost of the property to determine the depreciable basis. The depreciation is then calculated based on the depreciable basis using the MACRS rate. The correct answer is D.

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Step-by-step explanation:

I answered this already.

Answer:

x=2/3

Step-by-step explanation:

The value of x is equal to 85°.

In Mathematics, the exterior angle theorem or postulate is a theorem which states that the measure of an exterior angle in a triangle is always equal in magnitude (size) to the sum of the measures of the two remote or opposite interior angles of that triangle.

By applying the exterior angle theorem, we can reasonably infer and logically deduce that the sum of the measure of the two interior remote or opposite angles in the given triangle is equal to the measure of angle 125 degrees;

∠x + 40° = 125°

∠x = 125° - 40°

∠x = 85°

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