the first four terms of a sequence are shown below:
7,4,1,-2
which of the following functions best defines this sequence?
A) f(1)=7, f(n+1)= f(n)+3; for n>= 1
B) f(1)=7, f(n+1)= f(n)-3; for n >= 1
C) f(1)=7, f(n+1)= f(n)-4; for n >= 1
D) f(1)=7, f(n+1)= f(n)+4; for n >= 1

Answers

Answer 1

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Answer:

  B) f(1)=7, f(n+1)= f(n)-3; for n >= 1

Step-by-step explanation:

The first term of the sequence is 7 and the next (4) is found by adding -3 to that: 4 = 7-3. This is described in answer choice B.


Related Questions

Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs.



ln(1/49^k)

Answers

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Answer:

  -2k·ln(7)

Step-by-step explanation:

49 is a perfect square, so the argument of the log function can be written as ...

  1/46^k = 1/(7^2)^k = 1/7^(2k) = 7^(-2k)

Then the log of it is ...

  ln(7^(-2k)) = -2k·ln(7)

For the given piecewise function, evaluate for the specified value of x.

Answers

Answer:

g(-3) = 1

Step-by-step explanation:

The x-value -3 lies within the given interval x ≤ -3, and so the correct piecewise function is x + 4, not -4 or -1.  Evaluating x + 4 at x = -3 yields 1.

Thus, g(-3) = 1

The required value of the function g(x) at x = -3 , g(-3) is +1.

Given that,
A function is given with their domain,
g(x) = x + 4 when x≤
g(x) = 4 when -3 < x < 3
g(x) = - 1 when x ≥ 3

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here, Function has been given with their respective limit in which the function is defined,
For the value of g(-3) the value of x = -3 lies in the limit x ≤ -3
So for this limit, we have a function,
g(x) = x + 4
g(-3) = - 3 + 4
g(-3) = +1

The required value of the function g(x) at x = -3 , g(-3) is +1.

learn more about function here:

brainly.com/question/21145944

#SPJ5

If there are sixty-four knives, forks, and
spoons on the table and each place
setting has two forks, how many places
are set?

Answers

Answer: 32 places

Step-by-step explanation:

So there are 64 forks, and 2 forks per place.

so divide 64 by 2

[tex]64 \div 2 = 32[/tex]

Answer:

16 places are set

Step-by-step explanation:

64/4= 16

PLEASE DONT AWNSER ANYTHING RANDOM I REALLY NEED THIS AND DO YOUR OWN AWNSER
Which statements about the box plot are correct? Check all that apply.

A box and whisker plot. The number line goes from 30 to 80. The whiskers range from 34 to 76, and the box ranges from 42 to 70. A line divides the box at 46.
Fifty percent of the data values lies between 34 and 46.
Seventy-five percent of the data values lies between 42 and 70.
It is unlikely that there are any outliers.
The interquartile range is 24.
The range is 36.

Answers

Answer:

Fifty percent of the data values lies between 34 and 46.

It is unlikely that there are any outliers.

Step-by-step explanation:

drawing out this box plot and looking online for a picture of the same plot:

From the box plot:

median=46

Q1=42

Q3=70

Q3-Q1= IQR=70-42=28

max=76

min=34

Range=max-min=76-34=42

no outliers seen from boxplot

Answer:

that person is right

Step-by-step explanation:

7
Timon makes $12 an
hour working at the
refinery, but he makes
$20 an hour overtime
(when he works more
than 40 hours a week).
Last week, he worked
57 hours. How much
did Timon make?
(before taxes

Answers

Answer:

$820

Step-by-step explanation:

he worked 57 hours.

so, 40 regular hours and 17 overtime hours.

therefore, he earned

40×12 + 17×20 = 480 + 340 = $820

first to answer gets brainiest
Which line plot displays a data set with an outlier?

Answers

Answer:

Bottom left graph

Step-by-step explanation:

The outlier will always be the number apart or greater than all of the other numbers in the graph

hence, the answer is the bottom left graph

PLEASE HELP ASAP! I have been working on this same subject for three days & still keep getting it wrong.

Find the area of the figure. (Sides meet at right angles.)
3m
2m
5m
2m
3m
3m
3m

Answers

Answer:

[tex]2 \times 5 = 10 \\ 3 \times 11 = 33 \\ 10 + 33 = 43 \\ 43 {m}^{2} [/tex]

hey please give brainly

add the missing sequence ​

Answers

Answer:

a) 2, 6, 10, 14, 18, 22

b)60, 59, 57, 54, 50, 45

c)240, 120, 60, 30, 15, 7 1/2

Step-by-step explanation:

The answer was already there.

A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 40% off Clarence items what percentage of the original price do you end up paying?

Answers

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Answer:

  27%

Step-by-step explanation:

The price multiplier for the first discount is (1 -55%) = 0.45.

The price multiplier for the second discount is (1 -40%) = 0.60.

Then the price multiplier for the two discounts together is ...

  (0.45)(0.60) = 0.27

You end up paying 27% of the original price.

PLEASE HELP!! MIGHT GIVE BRAINLIEST!!!!!

Graph a line with x - intercept of -2 and has a slope of 3

Answers

Answer:

The answer must be between 20 and 5000 characters

write the greatest and least number by using the following digits with out repeating any of the digits. 2,5,1,6,3,0,8,7 ​

Answers

Answer:

87653210=highest

01235678=least

Answer:

Least number: 10235678

Greatest number: 87653210

PLS PLS PLS ANSWER!!!!!

Answers

Answer:

1. 0.02                      

2. 100%

3. 3.66

4. 125

                                                        Hope this helps c;

What's a radian?

A) The ratio between a circle's diameter and its radius
B) The distance halfway around a circle
C) The ratio between a circle's circumference and its radius
D) An angle made at the center of a circle by an arc whose length is equal to the radius of the circle

Answers

Answer:

The correct answer is d.

(-1/2^5)×2^3×(3/4^2) [EVALUATE]​

Answers

Step-by-step explanation:

here's the answer to your question

Parallelograms geometry acellus pls help

Answers

Answer:

x = 60

Step-by-step explanation:

Recall: one of the properties of a parallelogram is that consecutive angles are supplementary. This means they add up to given 180°

2x and x are consecutive angles. Therefore:

2x + x = 180

3x = 180

Divide both sides by 3

3x/3 = 180/3

x = 60

The question says Simplify 7log7(49)

Answers

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Answer:

 14

Step-by-step explanation:

  [tex]7\log_7(49)=7\log_7(7^2)=7\cdot2=\boxed{14}[/tex]

One of the angles of a pair of complementary angles is 50°. Find the ratio of the pair of complementary angles​

Answers

Answer:

4:5

Step-by-step explanation:

A pair of complementary add up to 90, given that one of them is 50, we can do this: x + 50 = 90

solve it and we get x = 40

40 + 50 = 90, so 40 and 50 are the pair of complementary angles.

As for it's Ratio, we can just get the pair and have it as 40:50 but we can reduce it to 4:5

There are nine squares in a 3 x 3 square grid. Four of them will be painted white, how many will be painted black?
I need good explanation, not just the answer, will we use division? Mult?

Answers

Answer:

5 squares will be painted black.

Step-by-step explanation:

There are 9 squares, and 4 of them will be painted white, so that means that the remaining squares will be painted black. 9-4=5, so 5 squares will be painted black.

Hope this helped! :)

a neon light flashes 5 times every 10 seconds. show that the light flashes 43200 times in a day ​

Answers

There are 86400 seconds in one day. Divide that by 10 to get the intervals of the flashes. You get 8640. Multiply that by 5 because the flashlight flashes 5 times, 8640 times in one day. The result is 43,200.

Answer: 432000

Step-by-step explanation: (Amount of seconds in a day ->) 86400÷2 (<- 5 times every 10 seconds is 1 flash every 2 seconds so yes, 2) = 43200 (<-Yay Answer-! )

Hey!!! Plz help the question is below in a image

Answers

Answer:

desculpa não consigo responder pq esta td inglês ou espanhol prá mim se vc me dizer como posso fazer para voltar a ser português possa te ajudar em algo

Answer:

2.72 [tex]cm^2[/tex]

Step-by-step explanation:

You first find the area of the whole rectangle.

Then you have to find the area of the circle. The area of a circle is [tex]2\pi r[/tex].

The radius is 1 so it will be 2[tex]\pi[/tex].

[tex]\pi[/tex] equals 3.14 so you have to do 3.14*2 that equals 6.28.

Finally subtract 9-6.28=2.72

Which similarity statement is true?

Answers

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Answer:

  (a)  ΔWZY ~ ΔWXZ ~ ΔZXY

Step-by-step explanation:

In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.

A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).

  ΔWXZ lists sides in order short leg (WX), long leg (XZ).

  ΔZXY lists sides in order short leg (ZX), long leg (XY).

The first similarity statement is correct.

__

You can compare this to an incorrect one, the last one, for example.

ΔYZW lists sides in order long leg (YZ), short leg (ZW).

ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.

Select the correct answer.
Solve for x.




B.

C.

D.

Answers

Answer:

C. [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]20x - 40 = 100x[/tex][tex]20x - 100x = 40[/tex][tex]- 80x = 40[/tex][tex]x = -\frac{40}{80}[/tex][tex]x = -\frac{1}{2}[/tex]

There were 230 shoppers at an electronics store on opening day. The specials that day allowed 21​% of shoppers to receive a free set of earbuds and ​25% of shoppers to receive ​$5 off their first purchase. Answer parts a and b.

a. About how many shoppers received a free set of​ earbuds? Use an equivalent fraction to estimate.




b. About how many shoppers received ​$5 off their first​ purchase? Round the number of shoppers to the nearest​ whole number.

Answers

Answer:

a) About 48 of the shoppers, that is [tex]230\frac{21}{100}[/tex] of the shoppers, received a free set of​ earbuds.

b) About 58 shoppers, that is [tex]\frac{230}{4}[/tex] received ​$5 off their first​ purchase.

Step-by-step explanation:

a. About how many shoppers received a free set of​ earbuds?

21% out of 230. So

[tex]230\frac{21}{100} = 2.3(21) = 48.3[/tex]

About 48 of the shoppers, that is [tex]230\frac{21}{100}[/tex] of the shoppers, received a free set of​ earbuds.

b. About how many shoppers received ​$5 off their first​ purchase?

25% out of 230, so:

[tex]230\frac{25}{100} = 230\frac{1}{4} = \frac{230}{4} = 57.5[/tex]

About 58 shoppers, that is [tex]\frac{230}{4}[/tex] received ​$5 off their first​ purchase.

What is the value of the expression below?
e^In 4
O A. 12
B. 3
C. 4.
D. 8
SUBMI

Answers

Answer:

C. 4

Step-by-step explanation:

ln(4) = the power of e to get 4.

and then we put e to the power of that answer, so the result must be 4.

To measure achievement of third grade students, a school system randomly selects four third grade classes and tests all children in those classes. This is an example of what type of sampling?
a. systematic
b. stratified
c. cluster
d. convenience

Answers

Answer:

Cluster

Step-by-step explanation:

When observations from a large population are divided into groups, such that subjects in each of these groups are similar to one another than those in the other groups. These individual groups of observation are called clusters. In the scenario above, the random group of 4 third grade classes selected represent of cluster or group since all the subjects belong to the class grade which is to be measured and all subjects belonging to the selected cluster or group are to be measured.

what value makes the equation

Answers

Answer:

n = .25

Step-by-step explanation:

For the equation to be true, both sides must be equal.

20 * 4 * 3 * n = 5 * 12

240 * n = 60

n = 60/240

n = .25

Answer:

1/4

Step-by-step explanation:

20×n×4×3=5×12

or, 240n=60

or, n=60/240

or, n=1/4

Answered by GAUTHMATH

Find the area of a circle that has a radius of 60.4 m. Put your answer as yards squared rounded to 1 decimal.

Answers

Answer:

13707.2 yards squared

Step-by-step explanation:

meter is almost a yard

60.4 meters = 66.054 yards

area of a circle = Pi * r^2

Pi * (66.054 yards * 66.054 yards)

= 13707.1800324

A camel can drink 15 gallons of water in 10 minutes. At this​ rate, how much water can the camel drink in 6 ​minutes?

Answers

Answer:  9 gallons

Work Shown:

(15 gallons)/(10 minutes) = (x gallons)/(6 minutes)

15/10 = x/6

15*6 = 10*x ... cross multiplication

90 = 10x

10x = 90

x = 90/10

x = 9

The camel can drink 9 gallons in 6 minutes. This is assuming that the unit rate is kept the same.

This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Resou
Grade
A
B C D F
ајӘН
Frequency 5
10
15
3
Find the probability that a student earns a
grade of D or F.
p = [?]
Enter a decimal rounded to the nearest hundredth.
Eva nail

Answers

Answer:

14.29%

Step-by-step explanation:

Total observations that had grade D or F: 5

Total observations: 35

[tex]\frac{5}{35} =\frac{1}{7} =.1429[/tex]

Answer:

.14

without rounding it is .1492 , rounded to the nearest hundredth it is .14

An organic farm has been growing an heirloom variety of summer squash. A sample of the weights of 40 summer squash revealed that the mean weight is 402.7 grams and the standard deviation 8.8 grams. What is the probability that the mean weight for a sample of 40 summer squash exceeds 405.5 grams?
a. 0.3783.
b. 0.0228.
c. 1.0000.
d. 0.5000.

Answers

Answer:

b. 0.0228

Step-by-step explanation:

We are given that

n=40

Mean,[tex]\mu=402.7 g[/tex]

Standard deviation, [tex]\sigma=8.8[/tex]g

We have to find the probability hat the mean weight for a sample of 40 summer squash exceeds 405.5 grams.

[tex]P(x>405.5)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}>\frac{405.5-402.7}{\frac{8.8}{\sqrt{40}}})[/tex]

[tex]P(x>405.5)=P(Z>\frac{2.8}{\frac{8.8}{\sqrt{40}}})[/tex]

[tex]P(x>405.5)=P(Z>2.01)[/tex]

[tex]P(x>405.5)=1-P(Z\leq 2.01)[/tex]

[tex]P(x>405.5)=1-0.977784[/tex]

[tex]P(x>405.5)=0.022216[/tex]

Hence, option b is correct.

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