given 45, 39, 33, 27 ... find a12

Answers

Answer 1

Step-by-step explanation:

a12 = 45 + (12-1)(-6)

= 45-66= -21

Answer 2

Step-by-step explanation:

yes, the other answer is correct.

just to explain a little bit more :

the sequence is clearly built by subtracting 6 from one element to the next.

in other words :

a1 = 45

a n = a n-1 - 6

in such a sequence you do the same operation/ calculation over and over again - once per new element.

the operation in this example is simple - as mentioned : subtract 6.

a1 just gives us a starting value (no operation done for for it) zu, the operation is done one time less than the running number of the element.

therefore, the general element generation algorithm/ formula is :

a n = a1 - (n-1)*6


Related Questions

when a number is doubled and then eight added it became 60 what is the number​

Answers

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Let the number be x.

Now,

2x + 8 = 60

2x = 60 - 8

x = [tex]\dfrac{52}{2}[/tex]

x = 26

Hence, the number is 26.

3.15 Linear Equations and Inequalities (SHOW YOUR WORK)

1.) Use the linear graph to answer the question.

A.) Identify the quadrant in which each point lies.

Point A:_____

Point B:_____

Answers

Answer:

A- Quadrant one.

B- Quadrant three.

Step-by-step explanation:

So, the quadrants go counter-clockwise, starting at the top right which is Quadrant one. Therefore, A is in one. Using that information, we can assume that B is in Quadrant three.

Graph the image of points A and B after a reflection over the x-axis.
Point B is 2,3 and Point A is 7,8

Answers

Answer:

Point A reflected = 7, -8

Point B reflected = 2, -3

Step-by-step explanation:

A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles, and 3 green marbles. what is the probability that the selected marble is green?

Answers

Answer:

1/3

Step-by-step explanation:

3x3= 9

Make 3/9 a fraction and simplify it and it would give you 1/3

consider the first six terms
in the sequence -11,-4, 3, 10, 17,24

Answers

Answer:

Next term is 31

Step-by-step explanation:

The numbers keep going up by 7.

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If 8 cents are needed to buy 10 pebbles, how many dollars are needed to buy 205 pebbles?

Answers

Answer:

Hello There!!

Step-by-step explanation:

If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.

(8×20.5=164) 8 cents=10 (10×20.5=205)

164 dollars=205

Therefore,the answer is 164 dollars.

hope this helps,have a great day!!

~Pinky~

Which of the binomials below is a factor of this trinomial?
4x2 + 21x + 5
A. 4x + 5
B. 4x-1
C. 4x + 1
D. 4x - 5

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. 4x+1

Step-by-step explanation:

!!!need help please !!!

Answers

Answer:

Step-by-step explanation:

log(3) = 0.477

log(8.2) = 0.913

log(0.04) = -1.397

Find the exact value of cot 330° in simplest form with a rational denominator.

Answers

Answer:

[tex]\cot 330^{\circ} = -\sqrt{3}[/tex]

Step-by-step explanation:

The cotangent function can be rewritten by trigonometric relations, that is:

[tex]\cot 330^{\circ} = \frac{1}{\tan 330^{\circ}} = \frac{\cos 330^{\circ}}{\sin 330^{\circ}}[/tex] (1)

By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:

[tex]\sin 330^{\circ} = \sin (-30^{\circ}) = -\sin 30^{\circ}[/tex] (2)

[tex]\cos 330^{\circ} = \cos (-30^{\circ}) = \cos 30^{\circ}[/tex] (3)

By (2) and (3) in (1), we have following expression:

[tex]\cot 330^{\circ} = -\frac{\cos 30^{\circ}}{\sin 30^{\circ}}[/tex]

If we know that [tex]\sin 30^{\circ} = \frac{1}{2}[/tex] and [tex]\cos 30^{\circ} = \frac{\sqrt{3}}{2}[/tex], then the result of the trigonometric expression is:

[tex]\cot 330^{\circ} = -\frac{\frac{\sqrt{3}}{2} }{\frac{1}{2} }[/tex]

[tex]\cot 330^{\circ} = -\sqrt{3}[/tex]

The exact value of cot 330° with a rational denominator is √3.

To find the exact value of cot 330°, we can first determine the reference angle. The reference angle for 330° is 30°, as it is the angle between the terminal side of 330° and the x-axis.

Cotangent (cot) is the reciprocal of the tangent function, so we need to find the tangent of the reference angle, which is tan 30°. The tangent of 30° is √3/3.

Since cot is the reciprocal of tan, the cotangent of 330° is the reciprocal of √3/3, which is 3/√3.

To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator, which is √3.

(3/√3) x (√3/√3) = 3√3/3

Simplifying further, we can cancel out the common factor of 3:

(3√3/3) = √3

Therefore, the exact value of cot 330° with a rational denominator is √3.

To learn more about trigonometric identities;

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Rewrite the expression 1/x^2/3 in the form x^n

Answers

Step-by-step explanation:

Rewrite the expression 1/x^2/3 in the form x^nRewrite the expression 1/x^2/3 in the form x^n

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression  [tex]\dfrac{1}{x^{\frac23}}[/tex] can be written in the form of xⁿ using the exponential property 1/x=x⁻¹. Therefore, the expression can be rewritten as,

[tex]\dfrac{1}{x^{\frac23}}\\\\= x^{-\frac23}[/tex]

= x⁻⁰°⁶⁶

Hence, the given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.

Learn more about Expression here:

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A piano instructor charges students a one-time fee for sheet music and an hourly rate for lessons. The graph below shows the total cost for a student who has taken x lessons.

Answers

Relation between fee charged by piano instructor and the lessons has been shown in the graph.
Two points passing through the line are (2, 80) and (4, 140)
Let the one time fee = $b
Hourly charges for the lessons = $x
Equation of the line will be,
y = mx + b
Slope of the line 'm' =
m =
m =
m = 30
y = 30x + b
For point (2, 80),
80 = 30(2) + b
b = 80 - 60
b = 20
Therefore, one time fee charged by the instructor = $20
Since instructor put a coupon to waive off the one time fee, value of the coupon will be = $20

Which of the following is closest to the circumference of a circle whose radius is 21 m

Answers

Here Is your answer!!!!

The model represents an inequality. What is the solution set for the inequality?

Answers

Given:

The figure of an algebraic tiles model of an inequality.

To find:

The inequality for the given model.

Solution:

On the left hand side of the inequality sign in the model we have 8 tiles of x and 12 tiles of 1. So,

[tex]LHS=8(x)+12(1)[/tex]

[tex]LHS=8x+12[/tex]

On the right hand side of the inequality sign in the model we have 12 tiles of -1. So,

[tex]RHS=12(-1)[/tex]

[tex]RHS=-12[/tex]

Now, the inequality for the given model is:

[tex]8x+12\geq -12[/tex]

Therefore, the required inequality for the given model is [tex]8x+12\geq -12[/tex].

Tara picks out 4 paint colors (beige, blue, green, and gray) to paint 4 rooms in her house (living room, dining room, main bedroom, and kitchen).

What is the probability that tara first paints her bedroom green?



ASAP!!!!!

Answers

im going to guess it's [tex]\frac{1}{4}[/tex]

4. A car is travelling 75 kilometers per hour. How many meters does the car travel in one

minute?​

Answers

Answer:

1250 Meters

Step-by-step explanation:

75 kilometers divided by 60 minutes is 1.25 kilometers per minute.

1 kilometer = 1000 meters

Answer:

75km/hr =75000

60 sec =1min,60 min=1hr

75000÷60=1250m

PLZ HELP I BEGG!! 100 POINTS AND BRANLIEST

Answers

Answer:

Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5

Answer:

Step-by-step explanation:

<3 is a right angle so its opposite angle is vertical to it. The answer is <5.

If 36 ÷ 9 = 4, which numbers could be placed in the blanks in the order shown to create a corresponding multiplication fact? _____ × _____ = _____
A) 4, 9, 36
B) 4, 36, 9
C) 9, 36, 4
D) 36, 9, 4

Answers

Answer:

a. 4×9=36

glad to help!!

Step-by-step explanation:

I need help. URGENT

Use the information and the diagram to answer the question:

What is the area of KLM

Answers

Answer:

i think the answer might be D but im not sure

Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.

Answers

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

[tex]Median = 3[/tex]

[tex]Mean = 4[/tex]

Required

The sequence of hours worked each day

See attachment for options

From the question, we understand that:

[tex]Median = 3[/tex]

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

(a)

[tex]\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}[/tex]

[tex]\bar x = \frac{20}{5}[/tex]

[tex]\bar x = 4[/tex]

(d)

[tex]\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}[/tex]

[tex]\bar x = \frac{15}{5}[/tex]

[tex]\bar x = 3[/tex]

Option (a) is true, because it has:

[tex]Median = 3[/tex]

[tex]Mean = 4[/tex]

G(x)=3/x find g'(x) a) by using the quotient rule: b) by first rewriting the expression using exponents and then differentiating.

Answers

Answer:

a) The quotient rule is:

if: f(x) = 1/g(x)

Then:

[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]

In this case, we have:

G(x) = 1/x

Then we can write this as:

G(x) = 1/h(x) with h(x) = x, and h'(x) = 1

Using the above rule we get:

G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2

b) For a function like:

f(x) = x^n

we have that:

[tex]f'(x) = n*x^{n - 1}[/tex]

Here we can write G(x) = x^-1

Then we have n = -1

If we use the above rule, we get:

[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]

So we got the same result using both methods.

The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters

Answers

Answer:

It's B

Step-by-step explanation:

I took the test

Answer:

B= (√30 - 2√5)

Step-by-step explanation:

Expand (p - q)(p+q).​

Answers

Answer:

p^2 - q^2

Step-by-step explanation:

This is an example of "the product and difference of two squares."

The relevant formula is (a - b)(a + b) = a^2 - b^2 (no middle term).

Here,the desired product is (p - q)(p + q) = p^2 - q^2.

Answer:

(p - q)(p+q). :p²-q²....

please help me

no links please and thank you :)

Answers

y = 5/3 - 4 , y-intercept is 4 , slope is 5/3

PLS HURRRY PLSSS HURRYRY

Answers

Answer: 10in^2 or this

Step-by-step explanation: Hope this help :D

Answer:

29

Step-by-step explanation:

2x2=4

5x5=25

25+4=29

Sorry if this didn't help ;(

What is the missing length?

Answers

Answer:

16

Step-by-step explanation:

The area of a triangle is

A =1/2 bh  where b is the base length  and h is the height

Substitute the values in

69.6 = 1/2 ( 8.7) * p

69.6 = 4.35p

Divide each side by 4.35

69.6/4.35 = p

16 = p

The formula for the area of a triangle is: A = 1/2 * base * height.

Using this formula, let's plug in what we know.

69.6 = 1/2 * 8.7 * height

Next, we'll go ahead and get rid of that 1/2 by multiplying everything by its reciprocal, 2.

139.2 = 8.7 * height

Then, all that's left is to divide both sides by 8.7.

Height = 16 yards

Hope this helps!! :)

How can you tell from the equation of a rational function if the function has a hole in the graph ( a removable discontinuity) at x, rather than a vertical asymptote? Give an example​

Answers

Consider that,

x^2+4x+4 = (x+2)(x+2)

x^2+7x+10 = (x+2)(x+5)

Dividing those expressions leads to

(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)

The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.

5 1/2 ÷ 3 2/3 + 1 4/5 , giving answer as a fraction in lowest terms

Answers

Answer:

6761/320

Step-by-step explanation:

[(51/2)÷32/3]+14/5

=6761/320

I need help!!! Like right now

Answers

All Triangles equal 180. I think it’s a yes?


Help me it says use the figure for 1 and 2











Answers

C is the right answer

Forty nine minus twenty five b squared in factored form

Answers

Step-by-step explanation:

Hoping this will help you on your journey through brainly!

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