Question 4 of 8
Consider the recursive function of an arithmetic sequence below.
f(1) = 3
f(n) = f(n − 1) + 4, for n = 2, 3, 4,...
What is the 6th term of the sequence?
19
23
27
22
Submit

Answer:

SAS

Step-by-step explanation:

Please let me know if this doesn't help. I'm trying my best to relearn this so I can help you.

Answer:

-6/5

Step-by-step explanation:

The slope is (4 - (-2)) / (-1 - 4) = (4 + 2) / (-5) = 6 / -5 = -6/5.

Answer:

-6/5

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = (4 - -2)/(-1 -4)

   = (4+2)/ ( -1-4)

   =-6/5

Answer:

last one

Step-by-step explanation:

3*√(3.5 - 3) -1 = 1.12......

Answer:

[tex]\boxed{-1<F(x)<2}[/tex]

Step-by-step explanation:

x is given the value of 3 1/2 or 3.5.

When x is 3, F(x) is -1.

When x is 4, F(x) is 2.

If x is 3 1/2, then the value of F(x) is between -1 and 2.

Answer:

5

Step-by-step explanation:

We are given the geometric series:

-1, - 2, - 4, - 8.......

In the geometric series above, the common ratio = second term/first term = -2/-1

= 2

Where common ratio is greater than 1(r >1)

The sum of a geometric progression =

Sn = a(rⁿ -1)/r - 1

In the question we are asked to find the number of term = n

Sn = -31

a = -1

r = 2

Hence,

-31 = -1(2ⁿ - 1)/2 - 1

-31 = -1(2ⁿ - 1)

-31 = -2ⁿ + 1

2ⁿ = 1 + 31

2ⁿ = 32

2ⁿ = 2^5

n = 5

Therefore, the number of terms(n) = 5

Answer:

x = 60°

Step-by-step explanation:

let the missing angle be = x

Cos x = 8/16

x = Cos-¹ 0.5

x = 60°

Answer/Step-by-step explanation:

Surface area of cylinder = 2πrh + 2πr²

Surface area of the cylinder with,

height (h) = 4 ft

radius (r) = 5 ft

Surface area = 2*3.14*5*4 + 2*3.14*5²

= 125.6 + 157

= 282.6 ft²

Surface area of the cylinder with,

height (h) = 12 yd

radius (r) = 3 yd

Surface area = 2*3.14*3*12 + 2*3.14*3²

= 282.74 yd²

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

y = 7/5x - 3

Comparing with the above formula

Hope this helps you

The value of the slope of the line is 7/5 and the y-intercept is -3

Given the line equation :

The general form of the equation is :

Comparing the equations :

Hence, the slope and y-intercept are 7/5 and -3

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Answer:

[tex] y = x^2 -5x +6[/tex]

And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:

[tex] y = (x-r) (x-s)[/tex]

The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2

[tex] y=(x -2)) (x-3)[/tex]

Step-by-step explanation:

For this problem we have the following polynomial given:

[tex] y = x^2 -5x +6[/tex]

And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:

[tex] y = (x-r) (x-s)[/tex]

The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2

[tex] y=(x -2)) (x-3)[/tex]

Answer:

i do not know either so please help me because this is not my level

Answer:

8=x

Step-by-step explanation:

can u give me a 5 star plz ty :)

Answer:

Step-by-step explanation:

Given figure is an isosceles trapezoid. Then angles corresponding to equal sides must also be equal. Hence, X = 67°

Theorem: If a quadrilateral ( with one set of parallel sides ) is an isosceles trapezoid, it's legs are congruent.

Hope this helps...

Best regards!!

Answer:

8.4 in

Step-by-step explanation:

Solution:-

- We consider the large right angle triangle namely, " XVW "

- We will recall all the trigonometric ratios that are applicable to all right angled triangles.

- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:

            Hypotenuse ( H ): Side opposite to 90 degrees angle

            Base (B): The side adjacent to the available angle ( θ )

            Perpendicular (P): The side opposite to the available angle ( θ )

- We will go ahead and mark our respective sides as follows:

            Angle ( θ ) : 34°

            Hypotenuse ( H ) : XW = 15 in

            Base ( B ) : VW

            Perpendicular ( P ) : VX

- Now recall all the trigonometric ratios studied:

           sin ( θ ) = P / H = VX / XW

           cos ( θ ) = B / H = VW / XW

           tan ( θ ) = P / B = VX / VW

- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:

                             sin ( θ ) = P / H = VX / XW

                             sin ( 34° ) = VX / 15

                             VX = 15*sin ( 34° )

                             VX = 8.387 .. ( 8.4 ) in

Answer:

r=8.8

Step-by-step explanation:

sin 36=opp/ hyp

sin36=r/15

r= 15 sin36

r=8.8

Answer: 40%.

Step-by-step explanation:

From the table : Total Seniors = 2+3= 5

Number of male seniors = 2

If a student is selected at random find the probability the student is a male given that it's a senior:

P(Male | senior)[tex]=\dfrac{\text{Number of male seniors}}{\text{Total seniors}}[/tex]

[tex]=\dfrac{2}{5}[/tex]

In percent, [tex]\dfrac{2}{5}\times100=40\%[/tex]

Hence, the probability the student is a male given that it's a senior.  =40%.

The probability of the student is a male senior is 7%.

Given, here from the 2- way table the total no. students will be 30.

We have to find out the probability of the student select at random, student is a  senior male .

We know that, the probability of an event E, will be

[tex]P(E)=\dfrac{No.\ of \ favaurable\ outcomes}{Total\ outcomes}[/tex]

Now,

[tex]P( Senior\ male)= \dfrac{2}{30} \\\\P( Senior\ male)=0.06\\[/tex]

Representing it in percentage as,

[tex]P( Senior\ male)=0.06666\times100\%\\P( Senior\ male=6.66\%[/tex]

Hence the nearest whole percent will be 7%.

Thus probability of the student is a male senior is 7%.

For more details on probability follow the link:

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Answer:

A. the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.

B. The estimates are close to the truth about the entire population.

Step-by-step explanation:

A. According to the given data we have that it was used to interview a random sample of 34,572 people who live in Scotland, therefore, the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.

B. The estimates are close to the truth about the entire population becuase a large sample was conducted, hence we can make an aproximation that represents the population parameter.

Answer:

a, c. d

Step-by-step explanation:

Answer:

a c d

Step-by-step explanation:

Step-by-step explanation:

I would suggest that she studies or do a cost analysis of what it will cost her to transport to the library to request for the book and return it, if it is not expensive as compared to the cost of the book she should travel down to request for it. else she should purchase the book

Or

Fareeda can simply check if the second library has a distant library services so that the book can be either

1. Sent to her home or placement address, or

2.Scans of book chapters and articles be emailed to her.

Answer:

N = 82

Step-by-step explanation:

(N - 49)/11 = 3

N - 49 = 33

N = 82

Answer:

The numerical limits for a B-grade is between 81 and 92

Step-by-step explanation:

Here in this question, our task is to find the numerical limits for B grade. This means the range between a test taker would be scored a B grade

Please check attachment for complete solution and explanation

Hey Mate!!

Your answer will be below.

Step-by-step explanation:

The answer is C. Because, There's vertical asymptotes at 1 and -1. Vertical asymptotes are present where the x on the denominator is equal to 0. So, Both the values are 1 and -1 set are equal to the 0 in the denominator, So, They're both horizontal asymptotes. Good Luck!

The graph on the top left.

f(x) = [tex]-4^x - 3[/tex]

That means that when x = 0...

f(0) = [tex]-4^0 - 3[/tex]

f(0) = -1 - 3

f(0) = -4

So, the function will have a point at (0, -4). We can eliminate the two graphs on the right.

When x = 1...

f(1) = [tex]-4^1 - 3[/tex]

f(1) = -4 - 3

f(1) = -7

So, the function will have a point at (1, -7). That corresponds to the graph on the top left.

Answer:

the top left

Step-by-step explanation:

just took the test

Answer:

angle B=92

Step-by-step explanation:

cos C= adj/hyp

sin C=12/14=6/7 ( in rad.)

angle C is 31 degree

the sum of angles of triangle =180

angles A+B+C=180

angle B=180-(31+57)=92 degrees

Answer:

$13.00 deposit plus $3 per day.

Step-by-step explanation:

Nick is deciding to acquire membership in municipal swimming pool in Charlotte, North Carolina. There are three different ways for the payment. The lump sum initial is $38 which is difficult for Nick to finance. Also if Nick is unable to go for swim he will lose $38. The per day deposit is suitable option for Nick as he will only have to pay when he goes for swim.

Answer:

Table of swimming costs using the three different payment methods

Payment Method        Number of days

                           0 days  5 days  10 days  15 days  20 days

Early Pay           $38.00  $38.00  $38.00  $38.00    $38.00

Deposit Plus      $13.00  $28.00  $43.00  $58.00     $73.00

Daily Pay           $00.00  $25.00  $50.00  $75.00   $100.00

Answer:

The correct option is;

The player runs 4 meters forward, and then  runs 4 meters in the opposite direction

Step-by-step explanation:

From the question relates to the displacement of a body, compared to the distance covered by the body

In the question instance, the situation in which the player displacement will be  zero is one where both the players forward and backward displacement are equal such that they cancel each other

We have the instance where the forward and opposite displacement are  equal is given by the situation where the player runs 4 meters forward, and then  runs 4 meters in the opposite direction.

Answer:

d would be the answer if your so needy

Step-by-step explanation:

Answer:  The range is real numbers less than 1

[1, -∞)  

Step-by-step explanation:  The range is all the y-values.  The top of the parabola (vertex) is at 1 above the x-axis. You have to look at the scale and notice that the scale is in increments of 2, The vertex is between 0 and 2. The parabola extends down to negative infinity.

Answer:

y < 1

(the < has a line underneath it)

Step-by-step explanation:

Answer:

8 feet

Step-by-step explanation:

[tex]h = \sqrt{10^{2} - 6^{2} } = \sqrt{100 - 36} = \sqrt{64} = 8[/tex]

Answer: 1/5

Step-by-step explanation:

We need to calculate the area of rectangle and trapezium and the Circumference of the circle.

Area of rectangle :

Length(L) = 10 ; width (W) = 6

Area = L * W = (10 * 6)ft = 60ft^2

Area of trapezium :

Height (h) = 4ft ; length(a) = 2ft ; length(b) = 4ft

Area = 0.5 ( a + b) h

Area = 0.5(2 +4) * 4 = 0.5(6)*4 = 12ft^2

Area of circle :

πr^2 ; r = radius of circle ; r= 2ft

3.142 * 2^2 = 3.142 * 4 = 12.568 ft^2

Probability = required outcome / Total possible outcomes.

P(point chosen inside rectangle is inside trapezium) = Area of trapezium / Area of rectangle

= 12/60

= 1/5

Answer:

48

Step-by-step explanation:

The formula for the area of a square is A = s².  Plug in each value and see if is in between 2200 and 2400.

A = s²

A = (46)²

A = 2116

A = s²

A = (48)²

A = 2304

A = s²

A = (50)²

A = 2500

A = s²

A = (44)²

A = 1936

The only value that fits in between 220 and 2400 is 48.

Answer:

a(1)= -3

a(n)=a(n-1) (-3)

Step-by-step explanation:

hope this helps

Recursive formula of the given sequence -3, 9, -27, 81, -243, ... , is (-3)^n ; where n = 1,2,3, ...

The given sequence is -3, 9, -27, 81, -243, ... ,

First term = -3

Second term = (-3)^2 = 9

Third term = (-3)^3 = -27

Fourth term = (-3)^4 = 81

Fifth term = (-3)^5 = -243

Hence, the recursive formula of the given sequence -3, 9, -27, 81, -243, ... , is (-3)^n ; where n = 1,2,3, ...

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Answer:

B

Step-by-step explanation:

C is too little and D is too much