The nth term of a sequence is n2 + 4
Alex says
"The n th term of the sequence is always a prime number when n is an odd number.”
Alex is wrong.
Give an example to show that Alex is wrong.

Answer:

30,60,90

Step-by-step explanation:

A triangle’s interior angles sum to 180.

1:2:3 ratio

180 divided by 6 (add up the ratio numbers)= 30. Use 30 in the ratios.

(30x1=30, 30x2=60, 30x3=90)

30,60,90

30+60+90=180 (add back up to make sure they sum to 180 to check your answer)

a) Both functions 3x + 7 and x are of the same order, which is the first order or linear order. (a) is the correct option.

In order to determine if two functions are of the same order, we compare their growth rates as the input approaches infinity. If the ratio of the two functions approaches a constant value, then they are of the same order.

a) For the functions 3x + 7 and x, as x approaches infinity, the ratio (3x + 7) / x approaches 3. Therefore, they are of the same order, which is the first order or linear order.

b) The functions 2x^2 + x - 7 and x^2 are of the same order, which is the second order or quadratic order.

c) The functions x + 1/2 and x are of the same order, which is the first order or linear order.

d) The functions log(x^2 + 1) and log2 x are of the same order, which is the logarithmic order.

e) The functions log10 x and log2 x are of the same order, which is the logarithmic order.

In each case, we determine the limit of the ratio of the two functions as the input approaches infinity. If the limit is a constant value, then the functions are of the same order. The order represents the growth rate or complexity of the functions as the input size increases.

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The missing side length "m" is -33 centimeters.

To find the equation that represents the missing side length of the triangle, we need to consider the perimeter of the triangle.

The perimeter of a triangle is the sum of the lengths of all its sides. In this case, we have three known side lengths: 3 cm, 5 cm, and 3 cm. The missing side length is represented by "m."

Therefore, the equation representing the perimeter of the triangle is:

3 cm + 5 cm + m + 3 cm + 3 cm = -19 cm

Simplifying the equation, we have:

14 cm + m = -19 cm

To solve for "m," we can isolate it on one side of the equation by subtracting 14 cm from both sides:

m = -19 cm - 14 cm

m = -33 cm

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The four-quarter moving average and centered moving average values for this time series-

Quarter | Average | Overall Average | Adjusted Seasonal Index

1 | 5.67 | 4.875 | 1.16

2 | 3.67 | 4.875 | 0.75

3 | 4.67 | 4.875 | 0.96

4 | 6.67 | 4.875 | 1.37

What is Quarter?

A quarter is a three-month period in a company's financial calendar that serves as the basis for regular financial reports and dividend payments.

a) To calculate the four-quarter moving average, we sum up the values for each quarter over the past four years and divide by 4.

Quarter | Year 1 | Year 2 | Year 3 | Moving Average

1 | 4 | 6 | 7 | -

2 | 2 | 3 | 6 | -

3 | 3 | 5 | 6 | -

4 | 5 | 7 | 8 | -

To calculate the centered moving average, we take the average of the values for each quarter and the neighboring quarters.

Quarter | Year 1 | Year 2 | Year 3 | Centered Moving Average

1 | 4 | 6 | 7 | -

2 | 2 | 3 | 6 | (4+2+3)/3 = 3

3 | 3 | 5 | 6 | (2+3+5)/3 = 3.33

4 | 5 | 7 | 8 | (3+5+7)/3 = 5

b) To compute the seasonal indexes, we need to find the average value for each quarter over the three years.

Quarter | Year 1 | Year 2 | Year 3 | Average

1 | 4 | 6 | 7 | 5.67

2 | 2 | 3 | 6 | 3.67

3 | 3 | 5 | 6 | 4.67

4 | 5 | 7 | 8 | 6.67

To compute the adjusted seasonal indexes, we divide the average value for each quarter by the overall average of all the data points.

Quarter | Average | Overall Average | Adjusted Seasonal Index

1 | 5.67 | 4.875 | 1.16

2 | 3.67 | 4.875 | 0.75

3 | 4.67 | 4.875 | 0.96

4 | 6.67 | 4.875 | 1.37

Therefore, the four-quarter moving average and centered moving average values for this time series are not available based on the given data. The computed seasonal indexes and adjusted seasonal indexes are as shown above.

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Let's denote the radius of the red circle by r, then the circumference of the red circle is 2πr. We know that the perimeter of the red circle is 37.7 inches, so:

2πr = 37.7

Solving for r, we get:

r = 37.7 / (2π) = 6.002 inches (rounded to three decimal places)

The radius of the yellow circle is 6 inches larger than the radius of the red circle, so:

r_yellow = r_red + 6 = 12.002 inches

Therefore, the circumference of the yellow circle is:

2πr_yellow = 2π(12.002) = 75.4 inches (rounded to one decimal place)

So the perimeter of the next-largest (yellow) circle is approximately 75.4 inches.

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The required perimeter is 25+√61 units.

We can find the distance between each pair of consecutive points and then add them up to get the perimeter of the polygon.

Using the distance formula, the distance between points A and B is:

\($$AB = \sqrt{(x_B - x_A)^2 + (y_B - y_A)^2} = \sqrt{(-4 - 4)^2 + (8 - 2)^2} = \sqrt{100} = 10$$\)

Similarly, the distances between the other pairs of points are:

\($$BC = \sqrt{(x_C - x_B)^2 + (y_C - y_B)^2} = \sqrt{(-7 + 4)^2 + (4 - 8)^2} = 5$$\)

\($$CD = \sqrt{(x_D - x_C)^2 + (y_D - y_C)^2} = \sqrt{(-1 + 7)^2 + (-4 - 4)^2} = 10$$\)

\($$DA = \sqrt{(x_A - x_D)^2 + (y_A - y_D)^2} = \sqrt{(4 + 1)^2 + (2 + 4)^2} = \sqrt{61}$$\)

Therefore, the perimeter of the polygon is:

\($$AB + BC + CD + DA = 10 + 5 + 10 + \sqrt{61}$$\)

= 25+√61

Thus, required perimeter is 25+√61.

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Answer:

Rational number

Step-by-step explanation:

Answer:

Step-by-step explanation: At that point, the patient is to maintain the distance walked during the 10th week. To Find- How far will the patient walk during the 10th week? So, in till tenth week patient will walk 32 km.

\(C=\pi d\)

\(22/7(5/4)\)

\(=3.92857142857\)

\(3.92857142857(254)\)

\(=997.857142857\)

In 254 revolutions , the bicycle will travel \(997.85m\)

The circumference of bicycle is given as,

                        \(C=\pi d\)

Where \(d\) is diameter of bicycle.

Given that,\(d=\frac{5}{4} ,\pi=22/7\)

Substitute values in above equation.

\(C=\frac{22}{7}*\frac{5}{4}\\ \\ C=\frac{110}{28}=3.93\)

In 254 revolutions of the bicycle wheel is,\(C=254*3.93=997.85m\)

In 254 revolutions , the bicycle will travel \(997.85m\)

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Your question was incomplete , Complete question is here :

"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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Answer:

A & D have the same volume :):):)

The conditional probability that, when flipping a non-biased coin four times, there are at least two heads, given that the first flip is a head, is 3/4.

Calculating the Conditional Probability:

Let us assume that getting a head in the first flip of coin is event B

Also, let us assume that getting a head in on of the remaining three flips is A

Then we have to find the probability of A given B, that is, P(A|B).

The formula for conditional probability is given as follows,

P(A|B) = P (A∩B) / P(B)

The probability of getting two heads, P(A∩B) = 3/8

The probability of getting head in the first flip, P(B) = 1/2

∴ P(A|B) = (3/8) / (1/2)

P(A|B) = 3/4

Thus,  the conditional probability of getting at least two heads, given that the first flip is a head is 3/4.

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Answer:

-10

Step-by-step explanation:

3(2) + 4(-4)  ⇒  6 + (-16)  ⇒  -10

Answer:

I think it's x-axis.

Step-by-step explanation:

but me could me wrong

Answer:

The correct answer to this question would be C.

Step-by-step explanation:

took the test. Hope this helps!

Answer:

it is C

Step-by-step explanation:

got it right on edge

Answer:

1,582.6 in.3

Step-by-step explanation:

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Answer: It is a rational number.

Hence, \(2.738\) a rational number.

What is the rationa number?

A rational number is a type of real number, which is in the form of \(\frac{p}{q}\) where \(q\) is not equal to zero. Any fraction with non-zero denominators is a rational number.

Here \(2.73\) acn be written as

\(2.73=\frac{2.73}{1}\)

Now, we multiply numerator and denominator by \(100\).

So, it would be

\(\frac{2.73(100)}{1(100)}\\\\=\frac{273}{100}\)

So, the fraction is written as \(2.73\).

Hence, \(2.738\) a rational number.

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Answer: 70.884

Step-by-step explanation:

When two bills are drawn randomly without replacement,  the probability that their sum is $20 or more is 1/2.

Given,

An envelope contains 8 bills;

Two of $1 bills, Two of $5 bills, Two of $10 bills, Two of $20 bills.

When two bills are drawn randomly without replacement, we have to find the probability that their sum is $20 or more.

Total  outcomes = 2 x 2 x 2 x 2 = 16

Total possible outcomes, more than 20;

(1, 20), (20, 1), (5, 20), (20, 5), (10, 10), (20, 10), (10, 20), (20, 20) = 8 cases

That is,

The total possible outcomes is 8.

Now,

The probability of bill to be $20 or more = Possible outcome / Total outcome

Probability = 8/16 = 1/2

That is,

When two bills are drawn randomly without replacement,  the probability that their sum is $20 or more is 1/2.

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Answer:

Y and X AKA 2

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

1.2^2 = 1.44

1.2 · 1.2 = 1.44

Hope I helped :)

Please consider Brainliest :)

Answer:

I think it would be 3.24x10^26

Step-by-step explanation:

1) Since the question here is to predict a player's salary, then we'll need two columns from that: HR and Salary to begin with:

2) Now we need to expand this table to get the values we need to write out the equation, to begin answering those questions:

a) Examining the data, we can infer that:

No, it does not seem likely that there is a strong correlation

Analyzing Home Runs (x) and Salaries (y) on the table above, since there is one player with 47 HR earning a lot less than another one who made 15 Home Runs.

b) Let's calculate the value of this correlation coefficient using this formula:

Plugging into that the values or our table we have:

So we have a correlation (r) of r= 0.137 a weak positive correlation

c)

d) To find the equation of the line, we need to find the slope first and then the linear coefficient:

So let's find out the slope, and then plugging into that the values of that table for Σ the last row of each column: Σx, Σy, Σxy, Σx² and Σy² and n=15

For the "b" term, i.e. the linear coefficient:

Answer:

2 CLOSED CIRCLE--------->

Step-by-step explanation:

closed circle on two and go the right

Answer:

--|--|--*--|--|--|--|--|--|--|--|

 0 1 2 3 4 5 6 7 8 9 10

Step-by-step explanation:

you would put a closed dot on 2 and make a line going right

Answer:

3+11x+11y-4x^2-8xy-4y^2

Step-by-step explanation:

Using the distributive property, we get 3+11x+11y-4x^2-8xy-4y^2

Regarding the proportional connection that Peter's equation simulates, claim C is accurate. Peter moves along at a 13/4 mph walking pace.

An equation is a mathematical statement that uses an equal sign to join two algebraic expressions having the same value.

The complete question is

"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?

A:Peter walks a rate of 4/13 miles per hour.

B: Peter walks at a  rate of 4 miles per hour.

C: Peter walks at a rate of 13/4 miles per hour.

D: Peter walks at a rate of 13 miles per hour."

Provided equation

Y=13/4x

where y is the distance traveled and x denotes the amount of time.

According to the equation, Peter moves along at a speed of 13/4 miles per hour.

As a result, the proportional connection represented by Peter's equation is valid as stated in assertion C.

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I think I need to know what the cat weighs first...