Write the first five terms of the sequence with an nth term of an=n!/n+1

Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

The inequality tha calculates the possible values of x is x < 2

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

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

4 + 7 = 11

4 + 7(3) = 25

4 + 21 = 25

first number is 4, second is 7

I hope this helped!

Step-by-step explanation:

The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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Answer:

7

Step-by-step explanation:

It adds 2 each time to the function. Y-Intercept is 1, so you add 2 three times.

2*3=6

6 plus the starting dog (1)= 7

Answer:

The total worth of the investment after 6 months is T =  $ 1004004

The geometric mean of the above monthly returns is   \(\= G = 0.001\)

Step-by-step explanation:

From the question we are told that

  The growth for each month are

             R1 = -0.4, R2= 0.67, R3 = 1.0, R4 = -0.5, R5 = 0.2, R6 = -0.165

   The amount invested is  \(A = \$ 1,000,000\)

   The number period of the investment is  6 months

Generally the worth of the investment after each month is

              \(G_i = G_p * (1 + R_i)\)

Here \(G_p\) is the worth of the investment the previous year

          \(R_i\) is the growth for that month

So considering the first month

          \(G_1 = G_p (1 + R_1)\)

Here \(G_p = A\)

So

             \(G_1 = 1000000 (1 -0.4)\)

              \(G_1 = 600000\)

Considering the second month

  Here \(G_p = 600000\)

So

    \(G_2 = 600000 (1 + 0.67)\)

=>  \(G_2 = 1002000\)

Considering the third month

    Here \(G_p = 1002000 \)

So    

    \(G_3 = 1002000 (1 + 1)\)

    \(G_3 = 2004000 \)

Considering the fourth month

    Here \(G_p = 2004000 \)

So  

    \(G_4= 2004000 (1 + -0.5)\)

    \(G_4= 1002000 \)

Considering the fifth  month

    Here \(G_p = 1002000 \)

So  

    \(G_5= 1002000 (1 + 0.2)\)

    \(G_5= 1202400 \)

Considering the six month

       Here \(G_p = 1202400 \)

So  

    \(G_6= 1202400 (1 -0.165)\)

    \(G_6= 1004004 \)

Generally the total  worth of the investment after 6 months is T =  $ 1004004

Generally the geometric mean of the monthly returns is  

           \(\= G = \sqrt[n]{ [(1 + R_1 ) * \cdots (1 + R_n)} ]-1\)

Here  n represents the number of months which has a value  n =  6

So

  \(\= G = \sqrt[6]{[(1+ (-0.4 )) * (1 + 0.67) * \cdots * (1 + (-0.165))]} - 1\)

    \(\= G = 0.001\)

Answer:

the answer is 3

Step-by-step explanation:

i took the test on k12

Answer:

In Two Different Ways:

Line FG

Line GF

Step-by-step explanation:

We need to know about scientific notation to solve this problem. The number of seconds the playlist will play is 3.99 x 10^5.

Expressing a number in scientific notation means writing the number as a multiple of ten with ten raised to some power. We use scientific notation for numbers that are very small or very big. When writing numbers in scientific notation we always have one number other than zero before the decimal point. In this question we know that there are 1900 songs and each song has average time of 3.5 minutes, we need to convert the minutes into seconds and multiply the number of seconds of each song to 1900.

1 min=60 seconds

3.5 mins=3.5 x 60=210 seconds

210 x1900=399000 seconds

399000=3.99 x 10^5

Therefore the number of seconds that the playlist will play is 3.99x 10^5

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Answer:

Step-by-step explanation:

Part A:

3x+12+7x+88=180

10x+100=180

10×=80

X=8

Part B:

m<RPS=3x+12

(3*8)+12

=36

Answer:

(-3, -10)

Step-by-step explanation:

We are asked to solve the system of equations simultaneously.

We need to equate the equations.

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

Solving :

⇒ -4 + 2x = 4x + 2

⇒ 4x - 2x = -4 - 2

⇒ 2x = -6

⇒ x = -3

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

Finding y :

⇒ y = 4(-3) + 2

⇒ y = -12 + 2

⇒ y = -10

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

Hence, the solution :

(-3, -10)

We have to solve them graphically as per question

Some points has already been found

Graph attached

Solution is

Answer:

???

Step-by-step explanation:

ok???

lol ?????????????

Answer:

Wocky slush

Step-by-step explanation:

WockyslushWocky slush

Answer:

1. -2/7

2. 7/6

3. 53/8

4. do u mean sum? if yes then the answer is 1

5. 5/12

6. 2/5

7. -2/3

8.

9.90

10.240

11.60

12. 4/15

13.4/7

14.8/5

15.24/7

16.15/16

17.4/9

18.8/7

19.-2/5

20.-1/12

Answer:

(a) The odds for and against E are (8:1) and (1:8) respectively.

(b) The odds for and against E are (7:2) and (2:7) respectively.

(c) The odds for and against E are (59:41) and (41:59) respectively.

(d) The odds for and against E are (71:29) and (29:71) respectively.

Step-by-step explanation:

The formula for the odds for an events E and against and event E are:

\(\text{Odds For}=\frac{P(E)}{1-P(E)}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}\)

(a)

The probability of the event E is:

\(P(E)=\frac{8}{9}\)

Compute the odds for and against E as follows:

\(\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{8/9}{1-(8/9)}=\frac{8/9}{1/9}=\frac{8}{1}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-(8/9)}{8/9}=\frac{1/9}{8/9}=\frac{1}{8}\)

Thus, the odds for and against E are (8:1) and (1:8) respectively.

(b)

The probability of the event E is:

\(P(E)=\frac{7}{9}\)

Compute the odds for and against E as follows:

\(\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{7/9}{1-(7/9)}=\frac{7/9}{2/9}=\frac{7}{2}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-(7/9)}{7/9}=\frac{2/9}{7/9}=\frac{2}{7}\)

Thus, the odds for and against E are (7:2) and (2:7) respectively.

(c)

The probability of the event E is:

\(P(E)=0.59\)

Compute the odds for and against E as follows:

\(\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{0.59}{1-0.59}=\frac{0.59}{0.41}=\frac{59}{41}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-0.59}{0.59}=\frac{0.41}{0.59}=\frac{41}{59}\)

Thus, the odds for and against E are (59:41) and (41:59) respectively.

(d)

The probability of the event E is:

\(P(E)=0.71\)

Compute the odds for and against E as follows:

\(\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{0.71}{1-0.71}=\frac{0.71}{0.29}=\frac{71}{29}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-0.71}{0.71}=\frac{0.29}{0.71}=\frac{29}{71}\)

Thus, the odds for and against E are (71:29) and (29:71) respectively.

Answer:

y-4=-7/4(x+4)

Step-by-step explanation:

Point Slope Form: y-y*sub*1=m(x-x*sub*1)

Parallel lines have the same slope as the line to which they are parallel.

y-4=-7/4(x+4)

Hope this helps :)

the value of p is 3/2, the value of q is 3t, and the value of r is 2/9.with  the sum of the first n terms of the arithmetic series formula we are able to solve it

what is arithmetic series  ?

An arithmetic series is a series of numbers in which each term is obtained by adding a fixed number to the preceding term (known as the common difference). The sum of the terms in an arithmetic series can be found by multiplying the average of the first and last

In the given question,

We know that the first term of the arithmetic series is given by (2t+1) and the common difference is 3. Therefore, the nth term can be written as:

aₙ = a₁ + (n-1)d

(14r - 5) = (2t + 1) + (n-1)3

14r - 5 = 2t + 1 + 3n - 3

14r - 4 = 2t + 3n

7r - 2 = t + (3/2)n --------(1)

Now, we need to find the values of p, q, and r for the sum of the first n terms of the series, which is given by:

Sₙ = (n/2)[2a₁ + (n-1)d]

Sₙ = (n/2)[2(2t+1) + (n-1)3]

Sₙ = n(3n+4t+2)/2

We can simplify this expression by factoring out a 2 from the numerator:

Sₙ = n(3n+4t+2)/2 = (2n/2)(3n+4t+2)/2

Sₙ = (n/2)(3n+4t+2) = (3/2)n² + 2tn + n

Now, we need to write this expression in the form p(qt-1). To do this, we need to factor out (3/2):

Sₙ = (3/2)(n² + 4/3 tₙ + 2/3 n)

Sₙ = (3/2)[n² + 4/3 tₙ + (2/9)(3n)]

Sₙ = (3/2)[(n + (2/3)t)² - (4/9)t² + (2/9)n]

Sₙ = (3/2)[(n + (2/3)t)² - (4/9)t² + (2/9)n + (4/9)t² - (4/3)tₙ + (4/3)tₙ]

Sₙ= (3/2)[(n + (2/3)t)² - (4/9)t² + (2/9)n + (4/3)tₙ]

Sₙ = (3/2)[(n + (2/3)t)² - (4/9)t² + (2/9)(3t*n)]

Now we can see that p=3/2, q=3t, and r=2/9. Therefore, the value of p is 3/2, the value of q is 3t, and the value of r is 2/9.

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Check the picture below.

let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc

\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)

Answer:

24m^2+50m-14

Step-by-step explanation:

The answer to the puzzle is (3)O (7)N which makes word ON, (4)T (10)H (1)E which makes word THE, (6)B (8)E (2)A (9)C (5)H which makes the word BEACH

What is a quadrilateral?

A quadrilateral is a 4 sided polygon. On the basis of its properties quadrilaterals are classified as Trapezium,Kite, Parallelogram, Rectangle, Rhombus and square.

Complete the sentence:

1.Parallelogram-(E)

2.Quadrilateral-(A)

3.Supplementary-(O)

4.Bisect-(T)

5.Congruent-(H)

Using the diagram:

6.Given that KG=17 units, KJ=14 units.

As we know from the figure, GH is congruent to KJ and HJ is congruent to side KG.

Therefore, GH=KJ=14units- (B)

7.∠GKJ=86° and ∠GHJ=(x+6)°

We know that ∠GKJ is congruent to ∠GHJ

Therefore, x+6 = 86

                      x=86-6

                      x=80-(N)

8.Given KH=20 & KF= KH÷2  {diagonal pf parallelogram bisect}

                                  =20 ÷ 2

                                  =10 units-(E)

9.Given ∠HJK=82° & We know ∠HJK+∠GKJ=180°  {consecutive angles}

                                                               ∠GKJ=180-∠HJK

                                                                         =180-82

                                                                         =98°-(C)

10.Give that, ∠HJK=82° & we know  ∠HGK=∠HJK {opposite angles of parallelogram}

                                                            ∠HGK=82°-(H)

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Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

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The system of equations where the combination of the candies gives you a total of 22 points are:

x + y = 9

2x + 3y = 22

To create the equations, we shall first define the variables:

x = the number of purple candies

y = the number of yellow candies

Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.

Then, we would make sure that the total number of candies selected is 9.

The first equation represents the total number of candies selected:

x + y = 9

The second equation represents the total number of points obtained:

2x + 3y = 22

Therefore, the system of equations is:

x + y = 9

2x + 3y = 22

This is a system of linear equations.

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Answer:

$3480

Step-by-step explanation:

We know that the tax rate for the first $8000 is 15% and after $8000 the tax is 19%.

This means the total amount of money that Christine have to pay is equal to $8000 × 15% + ($20000 (the total) - $8000 (the amount that she already paid for the first $8000)) × 19%

This is equal to $1200 + $12000 × 19%

= $1200 + $2280

= $3480

Therefore, Christine must pay $3480 in income tax.

The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

Answer:

y = -2x + 6    2x + y = 6

Step-by-step explanation:

(3,0) (0,6)

6 - 0

0 - 3

= -6/3 = -2

2x + y = 6

Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps