A sequence is represented by the recursive formula below:

A Sequence Is Represented By The Recursive Formula Below:

Answers

Answer 1

The value of the sequence is (c) 13, 25, 37, 49

How to determine the value of the sequence

The definition of the sequence is given as

a(1) = 13

a(n) = a(n - 1) + 12

The above definitions imply that we simply add 12 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a(2) = 13 + 12 = 25

a(3) = 25 + 12 = 37

So, the sequence is 13, 25, 37

Hence, the value is (c)

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Related Questions

Need answer for b)iii)

Answers

Answer:

3.23, -1.23

Step-by-step explanation:

Draw the line y=1

See where it intersects x^2-2x-3

The x coordinates of the intersections are your answer

2. The students of a local high school operate the canteen at school to raise
funds for new furniture in the student lounge. Average sales of $245 per
month are needed to reach the goal. The sales for the first three months were
$190, $245, and $210. Since the sales appear to be too low, the students
predict that they will not reach their goal.
a) What were the average sales for the first three months, to the
nearest dollar? ​

Answers

Answer:

215

Step-by-step explanation:

you add all three together and then divide  by three to get the average.

what coordinates apply to y>2+9x

Answers

The coordinates that can be applied to the equation y > 2 + 9x is the cartesian coordinate system

What is cartesian coordinate system?

A system that identifies your precise location on a graph is the Cartesian coordinate system.  

This system can be used to graph a collection of points that will give your equations' solutions, which makes it handy. Each axis will have its own variable in the equations that are employed with this system.

The x-axis, a horizontal axis, and the y-axis, a vertical axis, are the two axes that make up the Cartesian coordinate system.

The variables x and y will be present in equations for lines in this system.

Hence the cartesian coordinate system is applicable for the equation given as y > 2 + 9x

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PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!

Answers

Answer:

g(-3) = 2

Step-by-step explanation:

g(x) = |x| - 1, x < 1        You would use this equation for finding g(-3). Since -3 is less than 1.

g(x) = |x| - 1, x < 1     ← You can ignore the x<1 part.

g(-3) = |-3| - 1            Input the value -3 as x. The absolute value of x is always  g(-3) = 3 - 1               positive.

g(-3) = 2                    Simplified

Next,

g(x) = x²- 10, 1 ≤ x ≤ 3     You would use this equation for finding g(3). Since 3 is equal to 3.

g(x) = x²- 10, 1 ≤ x ≤ 3  ← You can ignore the 1 ≤ x ≤ 3 part.

g(3) = (3)²- 10                   Input the value 3 as x.

g(3) = 9 - 10                     Simplify

g(3) = - 1

Then,

g(x) = [tex]\frac{1}{6}[/tex]x, x > 3          You would use this equation for finding g(6). Since 6 is greater than 3.

g(x) = [tex]\frac{1}{6}[/tex]x, x > 3     ←   You can ignore the x > 3 part.

g(6) = [tex]\frac{1}{6}[/tex](6)                  Input the value 6 as x.

g(6) = [tex]\frac{6}{6}[/tex]                      Simplify

g(6) = 1

Answer: g(-3) = 2 results in the largest value/output.

find the perimeter (p) of a rectangle with a length (1) of 12m and a width (w) of 8.4m using the formula p=21+2w

Answers

Answer:

The answer is 40.8 m.

Step-by-step explanation:

To find the perimeter of the rectangle, use the formula P= 2([tex]l[/tex])+ 2([tex]w[/tex]). Plug in the information given in the question, and the equation will look like

P= 2(12m) + 2(8.4m)

Solve the equation, and the final answer will be 40.8 m.

Awatch which loses a half a minute was set to read the correct time at 0445h on Monday. determine the time in 12 hour clock system,the watch will show on the following Friday at 1845h

Answers

The Correct answer is 5.50 p.m

Explanation

Time between Monday 0445h and Friday 1845h

= 4 x 24 + 14 = 110h

Time lost = 0.5 x 110

= 55min

Time shown in 12 hour system

1845 – 55 = 1750 h

= 5.50 p.m

What is a 12-hour Clock system?

On an analogue clock, the 12-hour clock is most frequently displayed as the digits 1 through 12; on a digital clock, it is typically followed by either a.m. (ante meridiem, Latin for "before noon") or p.m. (post meridiem, Latin for "after noon").

What is a 24-hour Clock system?

Digital clocks are more frequently used to display the 24-hour clock, which is printed in a 4-digit format with the first two numbers denoting the hour and the final two denoting the minutes.

No need for a.m. or p.m. is necessary because each time represents one of the 24 hours in a day. For instance, 0300 is the third hour of the day, or 3am; 1400 is the fourteenth hour of the day, or 2pm; and 1830 is the thirty-minute mark after the eighteenth hour of the day, or 6.30pm.

How can we change 12-hour time format into a 24-hour clock format?

Children can be taught to add 12 to the hours after noon in order to change a 12-hour clock to a 24-hour one. For instance, 3pm becomes 15:00 since 3 + 12 = 15.

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The time shown on 19:45h Fridays is 06: 55 pm Friday.

What is meant by clock system?

A collection of synchronized clocks that can communicate with one another and display the exact same time every single time is known as a clock network or clock system. A constant pulse known as a system clock or system timer aids the computer clock in maintaining accurate time. It keeps track of how many seconds have passed since the epoch and utilizes that information to determine the current date and time.

A piece of electronic equipment inside a computer that continuously emits a high-frequency signal to keep everything in sync. electrical gadget type. a piece of equipment that operates electronically. a computerized time-of-day clock.

Given: Watch loses = 1/2 minute every hour

Time difference = 19: 45 h Friday - US:45 h Monday

=4 days 14 hours

=24 × 4+14 hours

=96+14

=110 hours

Time lost [tex]$= & 144^{55} \times \frac{1}{2} \mathrm{~min} \\[/tex]

= 55 min

Time shown on 19:45h Fridays

= 19: 45 - 0: 55

= 18: 55 h Friday

= 06: 55 pm Friday

Hence, 06: 55 pm Friday

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Use the number line to find the difference of 4 1/2-8

Answers

Using the number line, the difference between 4 1/2 and 8 will come to -31/2.

What is a number line?

A number line is a depiction of a graded straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

Subtraction on a number line makes it much easier to subtract smaller values. When subtracting numbers from a number line, we must leap (move) to the left side of the number line.

Thus, moving to the left, 8 times from 4.5 will help us arrive at -3.5. See attached Number line.

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In the figure below the measure of arc AD = 110∘. What is the measure of ∠A in degrees? (4 points) 55 90 70 35

Answers

Answer:

35

Step-by-step explanation:

180 - 110 = 70

Arc DB= 70

70 / 2 = 35

Hello can someone help me with this please

Answers

Answer:

Below

Step-by-step explanation:

x - 6 = 12      add 6 to both sides of the equation

x - 6 + 6 = 12 + 6     simplify

x = 18

3x-1 = 11        add  1  to both sides of the equation

3x -1 + 1 = 11 + 1

3x = 12          now divide both sides by 3

3x/3 = 12 / 3   simplify

x = 4

A refrigerator is priced at $3,800 plus value-added tax at 15%. What amount does the refrigerator actually cost the customer?

Answers

Answer: 3800 + 15% =.....DUN DUN DUNNNN 3.800.15

Step-by-step explanation:

Find the value of x.
2x-8
6

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent.

[tex]6=2x-8 \\ \\ 2x=14 \\ \\ x=7[/tex]

When writing a number in scientific notation, why is it always written "X 10 to a power"?

Answers

Answer:

Because that is how you move the decimal point multiplying by ten will move the decimal pin to and the power tells you how many times and the direction

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

Solve this equation for x.
4x+3=5x-4

Answers

Answer:

Step-by-step explanation:

X=7

There answer will be 7

Show what you know: Exponents
Find the missing exponent exponent.
32 = 2?
? =

Answers

The correct answer is 5

PROBLEMA DE NUMEROS ENTEROS : Un buzo se encuentra a 4000 metros de profundidad. ¿Si desciende 2000 metros para atrapar mantarrayas, a que profundidad del nivel del mar se encuentra?

Answers

Answer:

Tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.

Step-by-step explanation:

Dado que un buzo se encuentra a 4000 metros de profundidad, si desciende 2000 metros para atrapar mantarrayas, para determinar a que profundidad del nivel del mar se encuentra se debe realizar el siguiente cálculo:

4000 - 2000 = X

6000 = X

Por lo tanto, tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.

Eddie is reading a novel for English class. He read 173 out of 480 pages. About what percent of the book has he read? Round to the nearest whole number.

Answers

Answer:

the answer would be 36.04,

Step-by-step explanation:

im gonna just leave this blank

How do you solve a linear equation step by step?

Answers

Linear equations are mathematical equations that involve one or more variables. These equations can be solved by following a few simple steps:

How to solve linear equations

Identify the constant and the coefficient of the variable.Use the coefficient to divide both sides of the equation by the same number.Subtract the constant from both sides of the equation.Divide both sides of the equation by the coefficient of the variable.Check your solution by substituting it back into the original equation.

Linear equations can be used to solve a wide range of mathematical problems and are an essential part of any mathematics curriculum.

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A company has two manufacturing plants with daily production levels of 5x +14 items and 3x - 5 items, respectively. The first plant produces how many more items daily than the second​ plant?

Answers

Answer:

21x

Step-by-step explanation:

5x+14=19x

3x-5=-2x

-2x-19x=21x

NEED HELP ASAP
Find the approximate area of a triangle that has vertices at A(-4, 2), B(6, 4) and C(3,-1).

Answers

Answer:

I need more to the question so I can answer it

Step-by-step explanation:

HELP PLEASE AND THANKYOU

Answers

Answer:

one half of a cup. it is written as a half as 1/2. :)

1/2 of a cup I think

I need some help on the "round to the next period" part. What exactly is the answer then? Thank you!

Answers

The time period it will take a principal of $25000 to grow int $28500 at a rate of 4% is approximately 3 years

What is Compound Interest

Compound interest is the interest that is calculated on the initial principal and also on the accumulated interest of previous periods. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.

In the given question, our data is;

P = 25,000r = 4% = 0.04A = 28,500n = ?x = semi-annually = 2

The formula is given as

A = P(1 + r/n)^nx

The given expression is

m(n) = 25000(1 + 0.04/ 2)^2n

m(n) = 28500

28500 = 25000(1 + 0.04 / 2)^2n

Solving for n,

n = 3.3

n ≈ 3


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Here is the other one.................

Answers

Answer:

2+2sec2∅tan²∅-sec⁴∅-tan⁴∅2+2sec2∅tan²∅-sec⁴∅-tan⁴∅)2-(sec⁴∅-2sec∅tan∅+tan⁴∅)2-(sec²∅-tan²∅)²2-(1)²1 is a required answer.

[Note sec²x-tan²x=1]

2, 3, -4, -6, -8
From the list of numbers, write down:
(a) three numbers whose sum is -12
(b) two numbers whose product is -24

Answers

I believe this is correct.

A is: -4, -6, 2

B is: -4, 6

a cylinder has a volume of 24 cubic feet, what is the equation on how to find the volume?

Answers

The equation on how to find the volume is πr²h = 24

How to determine the equation on how to find the volume?

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

Volume = 24 cubic feet

The volume of a cylinder can be calculated as

Volume = πr²h

Where

r = radius

h = height

Substitute the known values in the above equation, so, we have the following representation

πr²h = 24

Hence, the equation is πr²h = 24

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Find the value of x.
Use statement and reason format.

Answers

By using properties for angles we can find and solve some linear equations, there we can see that x = 30°.

How to find the value of x?

Remember that the sum of the interior angles of a triangle must give 180°, and we also know that the angle defined by a line is 180°.

Let's define N as the angle located at vertex N of the right triangle in the left side, we then can write:

2x + 90° + N = 180°

And we also can write the linear equation:

105° + 45° + N = 180°

Solving this one, we can find the value of N.

N = 180° - 45° - 105°  =30°

N = 30°

Replacing that in the equation with x we will get:

2x + 90° + 30°  =180°

2x = 180° - 90° - 30°

2x = 60°

x = 60°/2 = 30°

The value of x is 30°.

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Which of the following is equivalent to (X - 2) (x + 9) =0

Answers

The equivalent quadratic equation to  (x - 2)(x + 9) = 0 is x² + 7x - 18 = 0.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know if α and β are the roots of a quadratic equation ax² + bx + c = 0,

Then we can construct the equation by the factors (x - α)(x - β).

Given, We have to construct a quadratic equation with (x - 2)(x + 9) = 0.

Now, Multiply the terms we have,

x² + 9x - 2x - 18 = 0.

x² + 7x - 18 = 0.

So, Our required quadratic equation is x² + 7x - 18 = 0.

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A newsletter publisher believes that more than 47% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?

Answers

There is no sufficient evidence that we can use in order to substantiate the claim of the publisher,

How to write the hypothesis

The null hypothesis H0: p = 0.47

The alternative hypothesis is H1: p > 0.47

The question requires us to test the fact that more than 47 percent of the readers have their own personal computer. This is therefore the claim that is to be tested here.

There is no sufficient evidence to substantiate the claim because of the lack of certain details that would have been used to carry out the hypothesis test.

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If £22 = 500 rubles, how many £ are in 864 rubles? Give your answer to 2 dp.​

Answers

Answer:

£ 38

Step-by-step explanation:

If you take 500 divided by 22 you get 22.7272727272 or if you round 22.73

Then you take 864 divided by 22.73 and get 38.0114386274 the you round to 2 decimal places and get 38

Hope this helps

GeneralGranato777

Help me pls I’m struggling and I can’t solve it

Answers

The perimeter of the rectangle is  4y + 6 (cm).

How can the perimeter equation be found?

All four side lengths must be added up in order to get the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to do this task effectively. The formula for perimeter is perimeter=(length Plus width)2.

The diagram shows a rectangle. All measurements are in centimetres  an expression in terms of y, for the perimeter of the rectangle.

The perimeter of the rectangle is

2(y+3)+24

=2y + 6 + 2y = 4y + 6 (cm)

{ the perimeter:

2 *  width + 2 * Length}

The perimeter of the rectangle is  4y + 6 (cm).

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2x3x5 is equivalent to which number below​

Answers

Answer:

180

Step-by-step explanation:

2 squared is 4

3 squared is 9

4 x 9 x 5 = 180

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