write down the rule in your own words to describe this pattern:3;10;17;24;31​

Answer:

D

Step-by-step explanation:

your maximum "point" of the polynomial is the highest point that the curve makes which in this case is around x=-3.6 and y=17

The point of maxima for the given function is (-3.6, 17).

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

As per the graph of the function following conclusion are as below,

It has a maxima in second quadrant.

After the point of maxima, its value starts to decrease.

Then, it reaches it lowest value in fourth quadrant after which it increases again.

By examining the given options, the correct point of maxima can be found as (-3.6, 17).

Hence, the point of relative maxima for the graph can be evaluated as (-3.6, 17).

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Answer:

answer is B..as x approaches negative infinity,f(x) approaches positive infinity.

The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use.

Memoization is a technique where we store the results of expensive function calls and return the cached result when the same inputs occur again. Here's a recursive function that uses memoization to calculate the n-th Bessel polynomial at x:

```
memo = {}  # Memoization cache

def B(n, x):
   if n == 0:
       return 1
   elif n == 1:
       return x + 1
   elif (n, x) in memo:
       return memo[(n, x)]
   else:
       result = (2 * n - 1) * x * B(n - 1, x) + B(n - 2, x)
       memo[(n, x)] = result
       return result
```

The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use. This approach avoids redundant calculations and can significantly speed up the computation of Bessel polynomials for large values of n.

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Answer:

its 1/2

Step-by-step explanation:

Answer:

math

Step-by-step explanation:

Answer:

x = 80

Step-by-step explanation:

Tangent Chord Angle  =1/2 Intercepted Arc

40 = 1/2 x

80 = x

Answer:

To find the width of the microchip in Trey's new scale drawing, we need to apply the new scale of 3 inches to 1 centimeter. If the actual width of the microchip is 2 centimeters, we can multiply it by the new scale to find the equivalent width in inches.

So, the width of the microchip in Trey's new scale drawing would be 2 centimeters * (3 inches/1 centimeter) = 6 inches.

Step-by-step explanation:

The rounded area of the figure is approximately 86.9 square units.

To find the area of the figure, we need to calculate the sum of the area of the rectangle and the area of the semicircle.

Rectangle Area:

The length of the rectangle is 14 units and the width is 8 units. The area of a rectangle is calculated by multiplying its length and width. Therefore, the area of the rectangle is 14 × 8 = 112 square units.

Semicircle Area:

The semicircle is removed from one of the short sides of the rectangle. The radius of the semicircle is half the width of the rectangle, which is 8/2 = 4 units.

The area of a semicircle is given by (π × r^2) / 2, where r is the radius. Therefore, the area of the semicircle is (π × 4^2) / 2 = 8π square units.

Total Area:

Now we can calculate the total area by subtracting the area of the semicircle from the area of the rectangle:

Total Area = Rectangle Area - Semicircle Area

= 112 - 8π

To round to the nearest tenth, we need to evaluate the numerical value of π. Using an approximation of π as 3.14, we can calculate the total area:

Total Area ≈ 112 - 8 × 3.14

≈ 112 - 25.12

≈ 86.88

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The effective annual interest rate of the investment is approximately 5.4%.

To find the effective annual interest rate, we need to consider the compounding frequency and the total accumulated amount after the specified time period. In this case, the investment is compounded monthly, and it accumulates to $773.45 after 2 years.

Convert the nominal interest rate to the monthly rate:

Since the interest is compounded monthly, we need to convert the nominal yearly interest rate to the monthly rate. Assuming a nominal interest rate of \(\(r\)\), the monthly rate can be calculated as \(\(i = \frac{r}{12}\)\).

Calculate the effective annual interest rate:

To find the effective annual interest rate, we can use the formula:

\(\((1 + i)^{12} = (1 + \text{effective annual interest rate})\)\).

Rearranging the formula and solving for the effective annual interest rate, we have:

\(\(\text{effective annual interest rate} = (1 + i)^{12} - 1\)\).

Substitute the values and calculate:

In this case, the accumulated amount is $773.45 after 2 years. By substituting the values into the formula, we have:

\(\(773.45 = 700(1 + \frac{r}{12})^{24}\)\).

Solving for \(\(r\)\), we find:

\(\(\frac{r}{12} \approx 0.0045\)\).

Converting the monthly rate to the effective annual interest rate, we get:

\(\((1 + \frac{r}{12})^{12} - 1 \approx 0.054\),\) which is equivalent to 5.4%.

Therefore, the effective annual interest rate of the investment is approximately 5.4%.

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The Interval Notation is 12/23. Interval notation is simply a shortcut for writing numerical sets, specifically continuous ranges of real numbers.

Therefore,

Move all terms containing t to the inequality's left side. + Tap for more steps...

23 t + 2 ≤ 14

Move all terms that do not contain t to the inequality's right side. + Tap for more steps...

23 t ≤ 12

Divide each term in 23 t ≤ 12 by 23 and simplify.

+ Tap for more steps...

t ≤ 12/23

The result can be shown in multiple forms. Inequality Form:

t ≤ 12/23

Interval Notation:

( - ∞, 12/23)

Hence, The Interval Notation is 12/23.

The complete question is:

Solve for t , -48t+2<=-71t+14

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The variables of the test statistic may be determined to be \($s _1$\), \($s _2$\), \($n_ 1, n _2$\), t, which is the t - distribution test statistic, and \($x _1, x _2$\), which is the mean of the two samples.

When the variances of the two groups are not equal, pooled standard deviation estimations cannot be used. As an alternative, we must determine the standard error for each group separately. The variables of the test statistic may be determined to be \($s _1$\), \($s _2$\), \($n_ 1, n _2$\), t, which is the t - distribution test statistic, and \($x _1, x _2$\), which is the mean of the two samples.

The formula for this type of test statistic is given by -

\($t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{x_2}{n_2}}}$$\)

Here, the variables can be defined as below -

\($s_1^2, s_2^2=$\) variance of two samples

\($n_1, n_2=$\) respective sizes of the two samples

t = t - distribution test statistic

\($x_1, x_2=$\) Mean of the two samples

As a result, the variables of the test statistic can be determined to be \($s _1, s _2$\), which represents the variance of two samples, \($n _1, n _2$\), which represents the size of the two samples, t, which represents the t-distribution test statistic, and \($x _1, x _2$\), which represents the mean of the two samples.

The complete question is:

The formula for the test statistic used for a two sample test of means where the population variances are unknown and unequal is:

t = X1−X2√s12/n1+s22/n2X1-X2s12/n1+s22/n2

Match the variables to their description.

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Answer:

The answer is 15.71

Step-by-step explanation:

All you have to do is multiply Pie or 3.14 with 5 from the sphere. 3.14 x 5 = 15.7. If you use the Pie symbol when multiplying you'll get this answer -> 15.70796327. But I recommend using the pie symbol and just rounding it off. When rounding 15.70796327 to the hundredth place, do you know the saying 5 & up moves up and 4 & below stays??? Will it's the same thing here. 7 in 15.707 will move the 0 to a 1 instead of a 0.

Answer:

n = (1/2)(-1 ± i√2)

Step-by-step explanation:

Among the several ways in which quadratic equations can be solved is the quadratic formula.  Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac:  12^2 - 4(12)(9) = 144 - 432 = -288.  The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots.  These roots are:

      -b ± √(discriminant)

n = ---------------------------------

                 2a

Here we have:

      -12 ± √(-288)           -12 ± i√2√144          -12 ± i12√2

n = ----------------------  =  ------------------------ =  --------------------

            2(12)                             24                           24

or:

n = (1/2)(-1 ± i√2)

Answer:

Twenty-one Thousand

Step-by-step explanation:

If A is an invertible matrix, then ATA is also invertible. This is because the determinant of ATA is the product of the determinants of AT and A, and since A is invertible, its determinant is not equal to zero. Therefore, the determinant of ATA is also not equal to zero, which means that ATA is invertible.

1. If A is invertible, then det(A) ≠ 0.
2. The determinant of ATA is equal to the product of the determinants of AT and A, i.e. det(ATA) = det(AT) * det(A).
3. Since A is invertible, det(A) ≠ 0, and det(AT) = det(A), we have det(ATA) = det(A) * det(A) ≠ 0.
4. Therefore, ATA is also invertible.

In conclusion, if A is an invertible matrix, then ATA is also invertible.

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Answer:

The better deal is $32.05/15 gal

Step-by-step explanation:

Divide:

56/25

=2.24

32.05/15

=2.13666667

=2.14

Answer: \(\dfrac{49}{50}\)

Step-by-step explanation:

Given

Length of the stick is \(2y\ m\)

A piece of \(4y\ cm\) is cut

We know, 1 m=100 cm

So, \(2y\ m\) in cm is \(200y\ cm\)

Remaining length after cut is

\(\Rightarrow 200y-4y=196y\)

Fraction of length that is left after the cut is

\(\Rightarrow \dfrac{196y}{200y}\\\\\Rightarrow \dfrac{49}{50}\)

Thus, \(\frac{49}{50}\) fraction of original stick remains after cut

Answer:

Subtract y from first one

Add y to second one so:

x =8-y

x =2+y

For the first one, find 8 on the Y axis and mark a point. Then go down right and down one. Mark another point. Connect the dots.

For the second one, find 2 on the Y axis and mark a point. Go up and right and up one.

Mark another point. Connect the points.

Hope this helps

To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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Answer:

there are 431 females and 354 males in the class

Step-by-step explanation:

Let the number of females student in the class be x

Let the males by y

If there are 785 students in the senior class, then;

x+y = 785 .... 1

If there are 77 more females in  the class than males, then;

x = y+77 ....2

Substitute 2 into 1

y+77+y = 785

2y = 785 - 77

2y = 708

y = 708/2

y = 354

Since x = 785 - y

x = 785 - 354

x = 431

Hence there are 431 females and 354 males in the class

Answer:

Undercoverage

Step-by-step explanation:

Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.

I hope it helps! Have a great day!

The system of equations is  y = 50 + 3x; y = 34 + 4x. The number of cups that Aunt Emily orders is 16. The cost of either shop for 16 cupcakes is $98.

What is substitution method?

The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another. In this manner, a pair of linear equations are combined into a single, simple linear equation with just one variable.

Assume that x number of cups that ordered by Aunt Emily.

Given that, Clarksville Bakery charges $3 for each cupcake, plus $50 for the large cake.

Therefore, the cost of x cupcake is 50 + 3x.

y = 50 + 3x

Also, Sebastian's Sweet Shoppe charges $34 for the large cake and $4 for each cupcake.

Therefore, the cost of x cupcake is 34 + 4x.

y = 34 + 4x

The system of equations is

y = 50 + 3x  ....(i)

y = 34 + 4x  ...(ii)

To find the number of cupcakes that Aunt Emily orders, use substitution method to solve the system of equation.

Substitute y = 50 + 3x in equation (ii)

50 + 3x = 34 + 4x

Subtract 3x from both sides:

50 = 34 + x

x = 16

Putting x = 16 in equation (i)

y = 50 + (3 × 16) = 98

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Answer:

  532

Step-by-step explanation:

  532 = 2·2·7·19

__

There are 24 possible 3-digit numbers from the set {2, 3, 5, 7}. Of those, 6 have four factors: 372, 375, 532, 572, 732, 735.

The sums of factors of these numbers are ...

  38, 18, 30, 28, 68, 22

The number of interest is 532.

Answer: "x" is 4.5

Step-by-step explanation:

first lets find the leg of the first right triangle using the given leg of 6 and the hypoteneuse of 9 using Pythagorean theorem a^2 + b^2 = c^2.

6^2 + b^2 = 9^2

36 + b^2 = 81

subtract 36 from both sides to isolate b

36 - 36 + b^2 = 81 - 36

simplify

b^2 = 45

take square root of both sides

\(\sqrt{b^{2} }\) = \(\sqrt{45}\)

b = 6.7

Now we can find x of the 2nd right triangle using the know hypoteneuse of 6.7 and the known leg of 5

a^2 + b^2 = c^2

5^2 = b^2 = 6.7^2

25 + b^2 = 44.9

subtract 25 from both sides to isolate b

25 - 25 + b^2 = 44.9 - 25

b^2 = 19.9

take square root of both sides

\(\sqrt{b^2}\) = \(\sqrt{19.9}\)

b= 4.5

so your answer to what is "x" is 4.5

Answer:

radius squared

Step-by-step explanation:

Answer: For #6, domain is {-3≤x<4}, range is {-3<y≤-1}

Step-by-step explanation: For #6 domain, the leftmost point on the graph is -3, with a closed circle. This means that x is greater than or equal to -3 (-3≤x). The rightmost point is 4, with an open circle, meaning that x is less than 4 (x<4). Put them together in the standard format, and you get {-3≤x<4}. Same principle for range; lowest point is -3, with an open circle (-3<y), and highest point is -1, with a closed circle (x≤-1). Result is {-3<y≤-1}.

I'm not sure whether you are a beginner at this or if it's just this one that you're stuck on, I hope my answer was sufficient.

The solution is,  the unique price of the proportion is $10.37 even as within the promotion it is promoting at $18.25 consequently, The inventory is over-valued.

We have,

The following market and stock-specific statistics  10.37201

anticipated Return on company Y = Rf + Beta(Rm-Rf)

= zero.029+ 1.forty one*(zero.082)

= zero.14462

charge of the stock =Dividend/predicted to go back

= 1. 5/0.14462

= 10.37201

So the unique price of the proportion is $10.37 even as within the promotion it is promoting at $18.25 consequently, The inventory is over-valued.

A market is described as the sum overall of all the consumers and dealers in the region or place under attention. The vicinity may be the earth, nations, regions, states, or towns. The fee, fee, and fee of items traded are according to forces of delivery and demand in a marketplace.

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complete question:

use the following market and stock specific information to answer this question. assume you create your own portfolio made up of the four individual stocks shown below. the weighting of the porfolio is 30% stock w, 20% stock x, 20% stock y and 30% stock z. if a treasury bill currently sells for $970.05 and if firm y is expected to pay a constant annual dividend of $1.50 per share, and if the stock is currently selling for $18.25 per share, what is your opinion of the stock price?