⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ b(1)=−2 b(n)=b(n−1)−7 ​ Find the 3 rd 3 rd 3, start superscript, start text, r, d, end text, end superscript term in the sequence.

Answers

Answer 1

Answer:

-16

Step-by-step explanation:

Given the sequence:

b(n)=b(n−1)−7, where b(1)=−2

b(2)=b(2−1)−7

=b(1)−7

=-2-7

b(2)=-9

Therefore, the 3rd term of the sequence

b(3)=b(3−1)−7

=b(2)-7   (Recall b(2)=-9 from above)

=-9-7

b(3)=-16

The 3rd term of the sequence is -16.

Answer 2

Answer:

-16

Step-by-step explanation:


Related Questions

13.12 / .10 equals what please help me

Answers

Answer:

131.2

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

13.12 / .10

132

Jack and his cousin Emma are picking apples in their grandparents' orchard. Jack has filled 11 baskets with apples and is filling them at a rate of 5 baskets per hour. Emma has 8 full baskets and will continue picking at 6 baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How long will that take? How much fruit will they have picked by then?

Answers

Answer:

3 hours

26 baskets each giving a total of 52 baskets

Step-by-step explanation:

Jack has already  filled 11 baskets with apples and is filling them at a rate of 5 baskets per hour. This means that in x hours he would have filled an additional 5x basket to the initial 11 baskets. Therefore the number of baskets that Jack would have filled in x hours can be given by:

11 + 5x

Emma has already  filled 8 baskets with apples and is filling them at a rate of 6 baskets per hour. This means that in x hours he would have filled an additional 6x basket to the initial 11 baskets. Therefore the total number of baskets that Emma would have filled in x hours can be given by:

8 + 6x.

The time it would take Emma and Jack to have completed the same number of baskets can be gotten by using this equation and solving for x:

11 + 5x = 8 + 6x

11 - 8 = 6x - 5x

x = 3 hours.

It would take them 3 hours to fill the same number of baskets.

The number of fruits Jack would have picked in 3 hours = 11 + 5(3) = 26 baskets.

The number of fruits Emma would have picked in 3 hours = 8 + 6(3) = 26 baskets.

Both Emma and Jack would have picked 26 baskets each, giving a total of 52 baskets

the theme of patriarchal dominance in the Castle of Otranto

Answers

Step-by-step explanation:

In Horace Walpole's The Castle of Otranto, the female characters are predominately presented as passive and emotionally fragile, particularly in contrast to their male counterparts. ... These gendered fictional representations reflect, influence, and perpetuate patriarchal attitudes toward women.

Nick is solving the equation 3x^2=20-7x with the quadratic formula
which values could He use for a, b and c

Answers

Answer:

C. a = 3

b = 7

c = -20

Step-by-step explanation:

x = -b+/- (sq) b^2 - 4ac.

Well the way to plug the numbers in is by using this equation: Ax^2 + Bx + C = 0

S if you use your equation : 3x^2 = 20 - 7x

First you have to move everything to one side.

So it'll look like this:

3x^2 = 20 - 7x

-20      -20

3x^2 - 20 = -7x

+7x  +7x

3x^2 - 20 + 7x = 0

don't forget that... Ax^2 +Bx+ C= 0

3 = A

7 = B

-20 = C

Use the quadratic function to predict f(x) if x equals 2.
f(x) = -3x^2 + 180x - 285

Answers

Answer:

When x = 2, f(x) = 63.

Step-by-step explanation:

In order to find the value of f(x), you have to substitute x = 2 into the function :

[tex]f(x) = - 3 {x}^{2} + 180x - 285[/tex]

[tex]f(2) = - 3{(2)}^{2} + 180(2) - 285[/tex]

[tex]f(2) = - 12 + 360 - 285[/tex]

[tex]f(2) = 63[/tex]

Complete equation of the line through (1,4) and (2,2)

Answers

Answer:

y = -2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1)  / (x 2 - x 1)  = (2-4) / ( 2-1) = -2

y= -2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = -2(1) + c

c = 6

Therefore, the equation is y = -2x + 6

Which fraction lies between 0.70 and 0.75 on number line?

Answers

Answer:

Please see my attachment below.

It has the work to your question and should help you understand it visually.

Hope it helps.

You bought a magazine for $5 and 20 erasers. If you spent a total of $11, how much did each eraser cost

Answers

Answer:

.30 cents

Step-by-step explanation:

11-5=6

6 divided by 20

What is the arc measure of a 90 degree angle

Answers

it’s 1/4 of a circle.

Find the area of the triangle. Enter your answer in the box. I really need help with this, the image is below

Answers

Answer: 12

Step-by-step explanation:

Area of trinagle = b * h /2

8*3= 24/2= 12

Write an expression for the volume of a rectangular prism with length 7.5 ft, width w ft, and height 4.2 ft. Enter the smaller number first. sad :'(

Answers

Answer:

volume = 31.5w  

Step-by-step explanation:

A rectangular prism is a 3 dimensional figure that have 6 faces that are rectangular in shape. To ascertain the volume of a rectangular prism you need to know the length, width and height. The formula for the volume of a rectangular prism is represented below .

volume of a rectangular prism = LHW

where

L= length

H = height

W = width

volume = LHW

L = 7.5 ft

W = w ft

H = 4.2 ft

The expression for the volume of a rectangular prism with the following value above can be represented below.

volume = 4.2 × 7.5 × w

volume = 31.5w  

Team Sports Sport Number of Players Baseball 9 Basketball 5 Football 11 Hockey 6 Lacrosse 10 Polo 4 Rugby 15 Soccer 11 Enter the ratio of lacrosse players to baseball players in the form a b and then as a decimal showing up to four decimal places. Tell whether the decimal is a terminating or a repeating decimal.

Answers

Answer:

Ratio of Lacrosse players to Baseball players  is 10:9 or 10/9

Step-by-step explanation:

A ratio can be seen as a relationship between two values which is based on quantitative measures.

To do this simply we divide the values of the quantities that we want to determine the ratio of which on is to the other.

It can be seen as Value of quantity A / Value of quantity B

In this case, quantity A is the Lacrosse players, and it has a value of 10

quantity B represents the Baseball players with a value of 9.

Hence the ratio is  [tex]\frac{10}{9} = 1.1111[/tex]

It can also be written as 10: 9

The decimal is a repeating decimal because the numbers after the decimal points take up a pattern that repeats themselves up to infinity.

Simplify x÷2+2x ÷3+3x÷4​

Answers

Answer: 23/12x = 1.91667x

Step-by-step explanation:

X/2+2x/3+3x/4

1/2x + 2/3x + 3/4x

What function is depicted in the graph above

Answers

Answer:

what graph show me the graph

Step-by-step explanation:

This graph relates the length in centimeters to the approximate length in inches. Lengths in Centimeters and Inches a coordinate plane, the x-axis is labeled Length in centimeters and the y-axis is labeled Length in inches. A line goes through points (0, 0), (1, 0.39), (2, 0.78). According to the graph, which must be true? A length of 8 centimeters is approximately 3.12 inches. A length of 3 inches is approximately 1.17 centimeters. A length of 5 centimeters is approximately 1.56 inches. A length of 6 inches is approximately 2.34 centimeters.

Answers

Answer: The Answer Is A!!!!

Step-by-step explanation:

Well, Logically All Of The Other Answers Make No Sense...

Enjoy!! <3

Answer:

A its just A ok

Step-by-step explanation:

Colleen's movie collection contains 6 movies, including 2 action movies. What is the probability that a randomly selected movie will be an action movie?

Answers

Answer:

33.33% probability that a randomly selected movie will be an action movie

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

2 action movies out of 6.

Probability of selecting an action movie.

2/6 = 0.3333

33.33% probability that a randomly selected movie will be an action movie

Answer:

pobably yes

Step-by-step explanation:

what is the equivalent expression for a+a+a

Answers

Answer:

3a

Step-by-step explanation:

Note they all have the same amount of variables. Combine by adding:

a + a + a = 3a

3a is your answer.

~

Answer:

3a

Step-by-step explanation:

The answer is 3a simply because there is three a's, so just multiply one a by 3

Callie spins the spinner and rolls the number cube. What is the probability that she spins a five and rolls a six.The spinner has 8 sections.

Answers

Answer:

1/48

Step-by-step explanation:

This is a case of joint probability, and the desired result is the product of P(spins a 5) and P(rolls a 6):  (1/8)(1/6) = 1/48.

A water sprinkler sends out water in a circular pattern. How many feet away from the sprinkler can it spread water is the area formed by the watering pattern is 530.66 square feet? Use 3.14

Answers

Answer:

r= 13ft

Step-by-step explanation:

You are looking for the radius

The Area of a circle is  

πr2=530.66

(3.14)r2=530.66

Divide both sides by 3.14

r2=169

Square root both sides to get radius

r=13 feet

PLEASE HELP!!!!! Consider the functions f(x)=x−7 and g(x)=4x3.
What is f(x)+g(x)?

Answers

Answer:

The answer is 13x-7

Step-by-step explanation:

f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.

The population of the united states is 280 million. If 2 out of 3 americans know who the vice president is, how many americans know who the vice presdient is?

Answers

Answer:

186,666,667 Americans know who the vice president is

Step-by-step explanation:

In this question, we are tasked with calculating the number of USA citizens that know who the vice president is.

Now, in this question, we are made to know that the total population is set at 280 million with 2 out of three knowing who the vice president is.

What this means is that a fraction of the population at 2/3 knows who the vice president is

This fraction is equal to; 2/3 * 280,000,000 = 186,666,666.66666666

This is approximately equal to 186,666,667 people

Answer:

About 186.7 million people know who is the president of the United States.

Step-by-step explanation:

The number of US people who know who the vice president is (Mike Pence in 2020):

[tex]x = \frac{2}{3}\cdot (280\times 10^{6}\,people)[/tex]

[tex]x = 186.667\times 10^{6}\,people[/tex]

About 186.7 million people know who is the president of the United States.

Simplify :
(32/243)^4/5

Answers

Answer:

0.00006014573

Step-by-step explanation:

what i did was first complete (32/243) in parentheses,

Then i simplified 4/5 into a decimal and did the exponential value as a decimal to get 0.00006014573.

Hope you have a good day!,

sincerely,policekid0

Determine the probability of each event. Write impossible, unlikely,
as likely as not, likely, or certain. Then, tell whether the probability is
0, close to o, , close to 1, or 1.
1. randomly picking a blue card from a bag containing all blue cards
2. rolling an odd number on a number cube containing numbers 1 through
6
3. picking a red marble from 4 white marbles and 7 green marbles
Find each probability. Write your answer in simplest form.
4. A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking
you choose a file. What is the probability of drawing a number?
5. The names Phil, Angelica, Yolanda, Mimi, and Ed are on slips of
paper in a hat. A name is drawn without looking. What is the
probability of not drawing Ed?
6. A standard deck of cards contains 13 of each suit: red hearts,
red diamonds, black clubs, and black spades. What is the probability
of drawing a red card without looking?
A board game includes the 9 cards below.
Move
Move
Move
Move
Move
back
up
up
up
back
4.
2.
3.
1.
3.
Move
up
6.
Move
back
2.
Move
up
5.
Μονο
up
2.
7. Mia says the probability of moving back is the same as the probability
of moving up, Is she correct? What is the probability of moving back?
Explain.
8. Gavin needs to move up more than 4 spaces to win the game. Is he
likely to win on his next turn? What is the probability that he will not
win on his next turn? Explain.

Answers

Answer:

green

Step-by-step explanation:

ahahsvs asks d ja ssbsbs d

Compare interior intersections and

exterior intersections. How are they the

same? How are they different?

Answers

Answer:

Interior intersections are those intersecitons inside the main figure. For example, the intersection between two chords of a circle, that represents an interior intersection.

Exterior interseciton are those intersections which happens outside the figure, for example, the intersection of two tangent lines of a circle.

Basically, they are similiar, because both type of intersections are formed by the encounter between two lines or segments.

However, they are different, because each type is formed at different parts of the figure, one inside and one outside.

what is the slope of the points (-6.4,-2.6) and (5.2,9)

Answers

Answer:

X= 1

Hope this helps you!

Simplify the expression.
8x ^-4 y^-8/
-2xy^5
Write your answer without negative exponents.

Answers

Answer:

[tex]\frac{-4}{x^5y^13}[/tex]

Step-by-step explanation:

what is csc of angle b. reduce fractional answers to lowest terms

Answers

Answer:

17 / 8

Step-by-step explanation:

So the cosecant is equal to the hypotenuse ÷ opposite side

Hypotenuse = 17

Opposite side = 8

17 / 8

The measure of the cosecant of the angle B is 17/8.

What is the relation between cosecant and sine function?

We can write the relation between cosecant and cosine function as -

cosec(x) = 1/sin(x)

Given is a right angled triangle.

We can write -

cosec(b) = 1/sin(b)

cosec(b) = 1/(p/h)

cosec(b) = (h/p)

cosec(b) = 17/8

Therefore, the measure of the cosecant of the angle B is 17/8.

To solve more questions on trigonometric functions, visit the link below -

https://brainly.com/question/12015707

#SPJ2

Could somebody please answer this ASAP
Im going to mark you brainiest

Answers

Answer:

2 idk i guessed

Step-by-step explanation:

Answer:

Infinite

Step-by-step explanation:

2x+y=3

6x=9-3y

Subtract 2x from both sides of the first equation and substitute:

y=3-2x

6x=9-3(3-2x)

6x=9-9+6x

0=0

This equation has infinite solutions. Hope this helps!

A taxi company charges a fixed hire fee (which is a whole number of dollars) plus a rate for each
kilometer (which is a multiple of 10¢ and more than the set national minimum rate of $1.75),
rounded up to the nearest kilometer.
Maira’s last journey cost $37.90, but she does not know how far it was, or what the fixed hire fee
is. She wants to know how far the journey was.

She has a previous bill from the same taxi company, for a different journey, for $21.80.
How far was her last journey?

Answers

Answer:

362 kilometre

Step-by-step explanation:

Let a be the total cost of a journey

let b represent the total distance of a journey

$1.75 is a fixed charge of a journey

the additional charge is $0.10 for b distance ,hence total of additional charge is $.10 multiplied by b i.e 0.1 b

a=1.75+0.1b

a =37.90

37.90=1.75+0.1b

0.1b=37.90-1.75

0.1 b=36.15

b=36.15 /0.10

b=361.5

b=362 kilometre

For the journey that cost 21.80

21.80=1.75+0.1 b

0.1 b=21.80-1.75

0.1 b=20.05

b=20.05 /0.1

b=200.5

b =201 kilometre


Find the length of the missing side and show the work please

Answers

Answer:

13 cm

Step-by-step explanation:

Using Pythagorean theorem

5²+12²=c²

25+144=c²

169=c²

In order to get rid of the ² it has to be square rooted

√169=√c²

c = 13

Other Questions
What percent of the offspring will bepink, if we cross two pink tulips?50 %100%25 % Simplify the expression. Find the missing height, when you know the area. 4cm + 4cm + ? + ? = 28 cm How does the book tangerine develop the theme of appearances vs. reality? PLEASE PLEASE PLEASE HELP I will mark brainliest What goes in the blank box the perimeter of this quarter circle with radius, r= 23mm.Give your answer rounded to 1 DP. describe how coal is formed, where it gets its original source of energy from, and why its distribution varies around the world, then state whether coal is likely to formed today If f(x) - 4 -3 and s() = x1, find (f-g)(x) What does the word entre mean?excuse methank youcome inwhat Which sentence best gives a summary of "Everyday Use"? A.The narrator of the story is the mother of two daughters. B.Families change as they grow. C.One daughter was injured in a house fire. D.A woman observes the differences between her two daughters as they explore their family heritage and history. Does anyone know which one it would be? how do you write a case study for hydroelectric power (a) n is an integer. 2 < n 3List the possible values of n.Then solve; Solve 3y 4 > 17 which equation is the vertex form of y = 2x^2 + 16x + 26 WILL MARK AS BRAINLIEST URGENT!!!!!!!! Please help me pick the tallest ones A loan of 5200 gains interest of 2340 in 5 years.Find the simple interest rate.= ? % p.a. Question 4 of 102 PointsWhich happens to a developing child first?A. Teeth begin to form.B. The heart begins beating.C. Eyebrows appear.D. The eyes are able to see. what is the definition of mad