Q6: Find the first 3 terms of the sequence: a1 = 12, an = 3an-1 – 21
,n>2

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

1. 12

2. 15   [3*12-21 = 15]

3. 24  [3*15-21 = 24]

4. 51   [3*24 - 21 = 51]


Related Questions

9f+7f i need the answer pleaseeeee

Answers

Answer:

it's either 32 or 16f I don't know though

Answer:

16f

Step-by-step explanation:

We can combine like terms here by adding the coefficients:

9f + 7f = (9+7)f = 16f

How many solutions are there?

Answers

Answer:

There is only one solution, and that is x=−2 and y=7

Step-by-step explanation:

Solve for y.
y = 2x + 3

Answers

Answer:

what is x then i can say

Step-by-step explanation:

?????????????????????? i dont gets it

Otherwise its already simplified.

what fractions could be used to represent the whole numbers on this number line? Explain your reasoning ​

Answers

Answer:

3/3, 6/3, 18/6, 32/8, 25/5

Step-by-step explanation:

You can do many different combinations but that is just one combination you can do that equals 1, 2, 3, 4, and 5.

Yosemite Falls, the highest waterfall in the United States, is actually made 1 up of three smaller falls. The Lower Yosemite Falls is 355 feet shorter than the Middle Cascades Falls. The Upper Yosemite Falls is 80 feet more than twice the Middle Cascades Falls. The entire set of waterfalls is 2425 feet long. Which equation models this situation?​

Answers

Answer:

z-355=x

2z-80=y

x+y+z=2425 ft

Step-by-step explanation:

Smallest Yosemite falls- x

Largest Yosemite falls-y

Middle Cascades Falls- z

Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0. 8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1. 12p. Using this information, which of the following represents the final price of a gaming system, with the discount and taxes applied? g[c(p)] = 0. 896g c[p(g)] = 0. 896g g[c(p)] = 1. 92p c[p(g)] = 1. 92p.

Answers

Final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

What is composite function?

Composite function is the function in which the one function is dependent on the other function. The one function is written inside the other function to show the such relationship between the two function.

Given information-

The sale on the gaming system are of 20 percent.

The total local tax on the discounted price is 12%.

The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

The function which expressed the tax on discounted price is,

[tex]c(p) = 1. 12p.[/tex]

The sale on the gaming system are of 20 percent and The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

Now the local tax is applied on the discounted price after the 20 percent sell. Thus the function of discounted price will be a written inside the function of local tax as,

[tex]c[p(g)] =1.12p(0.8) \\c[p(g)] =0.896p \\[/tex]

The above function is the required function, which tales the final price of the gaming system is 0.896 times the original price.

The final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

Learn more about the composite function here;

https://brainly.com/question/10687170

Solve each system of equations using the elimination method

3x+8y=2
4x-2y=-10

Answers

x = -2

y = 1

let's multiply second equation by 4 to get a common coefficient of y variable.

16x-8y=-40

add the equations

3×+8y=2

16x-8y=-40

----------------

3x+16x = -38

19x = -38

x = -2

substitute x

3×-2 + 8y = 2

-6 + 8y = 2

8y = 2+6

y = 1

check the answer

-6+8 = 2

-8-2= -20

given the diagram below, what is COS(45º)?

Answers

Answer:

1 / [tex]\sqrt{2}[/tex]

Step-by-step explanation:

In a 45,45,90 triangle, the two legs of the triangle are equal to each other and the hypotonus being x [tex]\sqrt{2}[/tex]. So that make the unknown sides 6 and 6[tex]\sqrt{2}[/tex]. When solving for cos(45) you divide the leg adjacent to the 45 (6) by the hypotonus (6[tex]\sqrt{2}[/tex]) This gives you 6/6[tex]\sqrt{2}[/tex]. You can simplify the 6s to get 1 / [tex]\sqrt{2}[/tex]

Answer: Choice C

Explanation:

This is a 45-45-90 right triangle, aka isosceles right triangle.

The two legs are 6 units each, because the legs of isosceles triangles are the same length.

The hypotenuse is 6*sqrt(2) through the use of the pythagorean theorem.

From here we can say:

[tex]\cos\left(\text{angle}\right) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos\left(45^{\circ}\right) = \frac{6}{6\sqrt{2}}\\\\\cos\left(45^{\circ}\right) = \frac{1}{\sqrt{2}}\\\\[/tex]

It turns out that the '6' has nothing to do with the final answer, since the '6's cancel out. So we could change that 6 to any number we want, and the answer would still be the same.

Side note: Rationalizing the denominator will have [tex]\frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}[/tex]

What is an equation of the line that passes through the points (-6, -3) and
(-8,-4)

Answers

Answer:

Equation is Y=x/2

Step-by-step explanation:

Find the gradient of the line : graduent= -4-(-3)÷ -8-(-6) which = to 1\2Sustitutes any of the values of y and x coordinates and your gradient in order to find the value of c: Y =mx + c : (-4)=1/2(-8) + c then C =OY=x/2

Question Help
At a basketball game, a team made 51 successful shots. They were a combination of 1- and
2-point shots. The team scored 83 points in all. Write and solve a system of equations to find the
number of each type of shot.
There were 2-point shots and 1-point shots.

Answers

Answer:

19 1-point shots and 32 2-point shots

Step-by-step explanation:

Let x be the amount of 1-point shots they made and y be the amount of 2-point shots they made then...

x+y=51

x+2y=83

We can solve this equation using elimination. In this case, we can eliminate x be subtracting the two equations.

-y=-32

Divide both sides by -1

y=32

Plug this back into the equation to solve for x

x+32=51

Subtract 32 from both sides

x=19

They scored 19 1-point shots and 32 2-point shots.

please help I have no idea what to do​

Answers

Answer:

2p^2 - 1p - 8     GCF= 2p

Step-by-step explanation:

The GCF of the following equation can be written as 2p.

So with this information, we can solve the equation.

2p^2 - 1p - 8

Let me know if I am correct.

One penny is one hundredth of a dollar. If I have 33 pennies, what fraction of a dollar do I have? Convert the fraction to a decimal

Answers

Answer:

0.33

Step-by-step explanation:

i found this answer from knowing common sense. 33 hundredths is 0.33. thus making 33 pennies; 0.33

Explain why it might be important to be able to work with and manipulate fractions when working in construction.

Answers

Answer:

Addition and Subtraction with different denominators. If the denominators are different then a common denominator needs to be found.

2 pages.

hope this helps

Simplify this expression: 2x³ × 3xy²​

Answers

Answer:

if we are simplifying, the answer is 6x⁴y²

Answer:

6x⁴y²

Step-by-step explanation:

2x³ × 3xy²

multiply 2x³ by 3xy²

= 6x⁴y²

the sum of the length breadth and height of a cuboid is 19cm and length of its diagonal is 11cm find surface area of LSA

Answers

Hence, the surface area of the cuboid is 240 cm2.

this work is due on monday lol im colse to being done

Answers

Answer:

1/2x

Step-by-step explanation:

It's exactly in between the steep slope and the flat line and the steep line's slope is x or 1x.

What is the value of the expression 7m - 9 when m=4

Answers

Answer:

24

Step-by-step explanation:

7m - 4

7(4) - 4

28 - 4

24

Therefore, the value of the expression 7m-4 when m=4 is 24

A refrigerator was bought for rupees 15000 it was sold on 2% loss find the selling price of the refrigerator.​

Answers

Cp = 15000

L % = 2 %

First Let's find loss :

L % = (L/CP) × 1002 = (L/15000) × 1002/100 = L/150001/50 = L / 150001/50 × 15000 = L1/5 × 1500 = LL = 300

Final equation:

L = Sp - Cp300 = Sp - 15000Sp = ₹15300

I am pretty lazy to use latex adjust with it xD

Answer:

wait a minuate which school you study i study in indian school salalah

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

? X 3= 6

3 X 3= 9

?= 6/3

?= 2

please mark as Brainliest

Answer:

2

Step-by-step explanation:

6 multiply by 3 to give 18

9 multiply by question mark we represent the question mark with x

so 18 divided by 9 gives 2

-Brainliest
please help
ignore the selected option in q1

Answers

Answer:

D.  17,15,13,11

Step-by-step explanation:

The expression states that the next term in this sequence is formed by subtracting 2 from the preceding (n-1) result.  We know that for n = 1 that f(1) = 17.

f(n) is f(n-1) - 2

so

f(2) = f(1) - 2

f(2) = 17 - 2 or 15

f(3) = f(2) - 2

f(3) = 15 - 2 or 13

f(4) = f(3) - 2

f(4) = 13 - 2 or 11

 . . . .

 . . . .

 . . . .

and so on.

Answer:

D and B

Step-by-step explanation:

using the recursive formula and f(1) = 17 , then

f(2) = f(1) - 2 = 17 - 2 = 15

f(3) = f(2) - 2 = 15 - 2 = 13

f(4) = f(3) - 2 = 13 - 2 = 11

first 4 terms are 17, 15, 13, 11 → D

-------------------------------------------------------

Using the recursive formula and f(1) = 5 , then

f(2) = 4f(1) = 4 × 5 = 20

f(3) = 4f(2) = 4 × 20 = 80

f(4) = 4f(3) = 4 × 80 = 320

first 4 terms are 5, 20, 80, 320 → B

Solve for k in the following equation: E = 2kn​

Answers

Answer:

(E/2)/n = k

So when doing this you have to isolate K since your solving for “k”.

In order to do this you have to perform the inverse of every variable or number in order to isolate K.

In this case you divide 2 and then N.

What is the value of the expression 2/3 -5/6 over 3/4?

Answers

- 2/9

Step-by-step explanation:

(2/3 - 5/6)÷3/4

we'll first sort out the first part by equalizing denominators

(2/3 × 2/2) - 5/6 = 4/6 - 5/6 = -1/6

dividing by fraction is The Same as multiplying by it's inverse

= - 1/6 × 4/3 = - 4/ 18 = -2 × 2 = - 2/9

----------

2 × 9

Kathrine makes bracelets at a rate represented by a algebraic equation y=4× where x is the number of days, and y is the total number of bracelets made. Katherine also makes necklaces at the rate shown in the graph. How many more days will it take katherine to make 20 necklaces than it will take her to make 20 bracelets?​

Answers

Using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.

What is an Algebraic Equation?

An algebraic equation, like the one given, models word problems, and can be used to find unknown numbers.

Thus:

y = 4× represents the rate Kathrine uses to make bracelets, where,

x = number of days

y = total number of bracelets made

Find the number of days (x) it takes to make 20 bracelets.

Substitute y = 20 into y = 4x:

20 = 4x

20/4 = x

x = 5 days.

Create an algebraic equation in the form of, y = kx, for the rate of necklace Kathrine makes using the graph.

Thus, using the point, (4, 10), substitute x = 4 and y = 10 into y = kx and find k.

10 = k(4)

10/4 = k

k = 2.5

The algebraic equation for rate of necklace made is: y = 2.5x

Number of days Kathrine will use to make 20 necklaces would be:

20 = 2.5x

20/2.5 = x

x = 8 days.

Number of days to make 20 bracelets = 5 days

Number of days to make 20 necklaces = 8 days

In summary, using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.

Learn more about algebraic equations on:

https://brainly.com/question/2164351

a gardener uses a triangular prism shpapped clay pot to plant flowers. the triangular base is 3 units along the base and 5 units high. the pot has a height of 26 units. what is the volume

Answers

The volume of the triangular prism clay pot is 195 unit³

Volume of a triangular prism:v = BH

where

B = base area

H = height of the prism

Therefore,

Base area = area of a triangle

area of a triangle = 1 / 2 × base × height

Therefore,

B = 1 / 2 × b × h

b = 3 units

h = 5 units

B = 1 / 2  × 3 × 5

B = 15 / 2

B = 7.5 units²

Therefore,

H = 26 units

 B = 7.5 units²

V = 7.5 × 26

V= 195 unit³

learn more on triangular prism here: https://brainly.com/question/16537585

does anyone know 8g–4g+10g ??

Answers

Answer:

14g

Step-by-step explanation:

Combine like terms

8g–4g+10g = (8-4+10)g = (4+10)g = 14g

Hi!

I can help you with joy!

Solve by Combining Like Terms:

[tex]\bold{8g-4g+10g}[/tex]

[tex]\bold{4g+10g}[/tex]

[tex]\bold{14g}~(\text{Answer})[/tex]

Hope it helps!

Enjoy your day!

Ask me if you have any doubts.

~Misty~

Lorna earns ₱ 214.50 per hour at her baby-sitting job. On Saturday she worked 8 hours. What were her total earnings for the day?

Answers

Answer:

The answer is 1716

Step-by-step explanation:

214.50x8=1716

Austin graphed the linear function below using a table of values. Which of the following coordinates were included in the table of values? Select all that apply.

(0,5)

(5,-6)

(3,-2)

(2,2)

Answers

Answer: A B C

Step-by-step explanation:

David grew 35
bananas and 46
strawberries in his
garden. If he
wanted to use
these fruits equally
to make a
smoothies, how much fruit would go
into each smoothie?

Answers

46 - 11

35 fruits will go into each smoothie

Answer:

same as the above

Step-by-step explanation:

Hope this answer helps you

I don’t understand this help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

Rewrite the given equation as b^(2x) = b^8.

The exponents 2x and 8 must be equal, and so 2x = 8, and x = 4

Please answer as quickly as possible! (50 points)

Answers

Answer:

last one, x>-2.5

Step-by-step explanation:

Other Questions
HELP ASAPSometimes an invasive species is accidentally transported to a new ecosystem.TrueFalse remember, hydrate or diedrate.u r lovedcheese 3 bells ring at intervals of 3, 6, and 8 minutes. If they all rang together at3:00, what time will they ring together again? Please answer these two questions for me I really need help :) thanks Identify the solution that is likely to have the greatest concentration of H . Please choose the correct answer from the following choices, and then select the submit answer button. Answer choices orange juice ammonia pure water bleach blood What caused the First World War? In this argument in favor of recycling, which sentence introduces the counterargument? By recycling and reusing the resources we have, we can preserve what untouched natural resources we have while extending the life of the resources we are currently using. Admittedly, we cannot reuse or recycle all of the materials we use in our daily lives. My opponent would use this limitation of our ability to recycle to counter my points about the materials we can recycle. However, this is not an "all or nothing" scenario. We should reuse and recycle the materials that we can and try our best not to purchase materials and products that cant be reused or recycled. By doing our part and encouraging others to do their part, we can increase our chances of conserving our remaining natural and manmade resources over time. James wants to carpet the room shown in the diagram. If he uses 12 ft wide carpet strips, how many linear feet will he need to buy?. I would appreciate if someone helped me with this question! Please include the steps you made to get the answer :)1-2x=-x+3(Please don't delete this question again!!! Its school appropriate theres nothing wrong with it! I'm doing what im supposed to!) PLSSS HELP IF YOU TURLY KNOW THISS hello help me with this question thanks in advance *PLEASE HELP* *ANY IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*After 30 baseball games, Bryce Harper had 25 hits and after 100 games he had 165 hits. How many hits would he have after 106 games?(include units) How does the skin protect the body from disease?a. by increasing body temperature when it's coldb. by gathering information about the environmentc. by keeping disease-causing microorganisms from entering the bodyd. by supplying water to the body through the pores Look at the sequence below. Which statement best describes the relationship between terms. 1 64, 4, _____ hair can create a larger form of hair that is more coiled, grows more compact together, and will reflect less light. Toll gates have different fees based on the time of day, weekdays/weekends. Write a function that has three parameters: the current hour of time (int), time is morning (boolean) and whether the day is a weekend(boolean). The function returns the correct toll fee (float), based on the chart below.Weekday TollsBefore 7:00 am ($1.15) 7:00 am to 9:59 am ($2.95)10:00 am to 2:59 pm ($1.90) 3:00 pm to 7:59 pm ($3.95)Starting 8:00 pm ($1.40)Weekend TollsBefore 7:00 am ($1.05) 7:00 am to 7:59 pm ($2.15)Starting 8:00 pm ($1.10)input : toll_fee(8, True, False) Output : $ 2.95 The curved surface area of a right circular cylinder of height 14 cm is 88 cm. Jim is 4 years older than mark if the sum of their ages is 44 find the age of each person Jennifer walked 1/8 of a mile and then ran 1/4 of a mile how much farther did she run then walk A ball is dropped from a height of 20 feet onto a trampoline. When it hits the trampoline, it creates a 2-foot depression in the trampoline before bouncing back to a maximum height of 10 feet.Identify two transformations of energy occurring during this process.pls be as specific as possible