5 Write the first five terms of the sequence with nth term.

a 4n
b 2n+1
c 3n -2
d 1/2n +1
e 20 -5n
f -2n +3​

Answers

Answer 1

Answer:

its a lot u'll see at the end

Step-by-step explanation:

a) 4n = 4,8,12,16,20

b) 2n+1= 3,5,7,9,11

c) 3n-2= 1,4,7,10,13

d) 1÷2n+1= [tex]\frac{3}{2}[/tex], [tex]\frac{5}{4} ,\frac{7}{6} ,\frac{9}{8} ,\frac{11}{10} ,[/tex]

e) 20-5n= 15,10,5,0,-5

f) -2n+3= 1,-1,-3,-5,-7

took me a while hope it is helpful


Related Questions

Fully Factorise 5p^2 + 13p​

Answers

Answer:

The answer is p(5p+13).

Step-by-step explanation:

You have to take out the common factors :

[tex]5 {p}^{2} + 13p[/tex]

[tex] = p(5p + 13)[/tex]

Therefore, the factorisation stop here. As 5 and 13 are not common to each other.

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thnk me...

Please help will be marked BRAINLIEST!

Answers

Answer:

shorter base = 6 yd

longer base = 8 yd

area of playground = 42 yd^2

Step-by-step explanation:

The question tells you that the shorter side is equal to the width, which is 6 yds. The bases of the triangles on either side are 1 yd. Since there are two, add 1 twice to 6 (6+1+1). This gives you 8 yd for the longer base. You're right about the area, just use the trapezoid area formula: 1/2h(a+b).

What is the volume of the sphere shown below?
--12-
A. 5767 units 3
B. 691277 units3
C. 23041 units
O D. 19271 units3

Answers

Answer:

answer is B

Step-by-step explanation:

Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.

What is a sphere ?

A sphere is a three dimensional solid shape. It is a set of points that are all at the same distance r from a common point. The distance r is the radius and the common point is the centre of the sphere.

Here,

The radius of the sphere is given by,

r = 12 units

The equation for volume of a sphere with radius r is given by,

V = 4/3 [tex]\pi[/tex]r³

So, the volume of the sphere is,

V = 4/3 x [tex]\pi[/tex] x 12³

V = 2.304 [tex]\pi[/tex]

V = 7234.56 unit³

Hence,

Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.

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If f(x) = 1 + x2 and g(x) = 1-, which is the rule of function (f-)(x)?

Answers

Answer:

= -x^2 +x    

Step-by-step explanation:

(x) = 1 - x^2

g(x) = 1-x,

(f-g)(x) = 1-x^2 - ( 1-x)

Distribute the minus sign

          = 1-x^2 -1 +x

  Combine like terms

          = -x^2 +x    

A rectangle has an area of 590.4m2
One of the sides is 8.2m in length.
Work out the perimeter of the rectangle.

Answers

Answer:

hope this helps you

3. A soccer team played 160 games and won 65 percent of them. How many games did the team win?
a. 94
b. 104
c. 114
d. 124

Answers

Answer:

b.) 104

Step-by-step explanation:

Percent formula:

x/y = p/100

where x is the fraction, y is the total, and p is the percent

This means:

x = number of games the team won

y = total number of games

p = percent the number of teams won

Let's plug these values into the equation:

x/y = p/100

x/160 = 65/100

Solve by cross-multiplying:

x/160 = 65/100

100(x) = 100x

160(65) = 10,400‬

100x = 10,400

/100     /100

x = 104

Therefore, the team won 104 games.

It is said that about 60% of the human body is made up of water. Adam weighs 78 kg. How much of his body weight is made up of water?

Answers

Answer:

46.8 kg

Step-by-step explanation:

78 * 0.6 = 46.8

PLEASE ANSWER FAST A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even) a. One-third c. 1 b. One-half d. StartFraction 3 Over 7 EndFraction Please select the best answer from the choices provided A B C D

Answers

Answer:

a is my end result. hope that was right

The theoretical probability of rolling an even number is one-half.

Option B is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the theoretical probability of rolling an even number, we need to determine how many of the 6 possible outcomes are even.

In this case, we have 3 even outcomes: 2, 4, and 6.

Therefore, the probability of rolling an even number on a fair die is:

P(even) = number of even outcomes / total number of outcomes

P(even) = 3 / 6

P(even) = 1/2

Thus,

The theoretical probability of rolling an even number is one-half.

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Study the coordinate plane below. A certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) What is the best description of this polygon? A. rectangle B. pentagon C. trapezoid D. parallelogram

Answers

Answer:

pentegon

Step-by-step explanation:

The certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have coordinates of a polygon, the coordinate plane:

points: (1, 1), (1, 8), (4, 7), and (4, 3)

After, connecting the points to each other.

We will see, after joining the points, the polygon will be a trapezoid.

Thus, the certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.

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An airplane change in altitude before landing is shown in the table. What equation represents this change in altitude? ​

Answers

Answer:

a = -4,000m + 39,000

Step-by-step explanation:

Christine,milan, and Scott sent a total of 145 messages during the weekend . Christine sent 7 more messages than Scott . Milan sent 4 times as many messages as Scott . How many messages did they each send?

Answers

Answer:

number of message sent by Scott is 23

number of message sent by Christine is   30

number of message sent by Milan is 92

Step-by-step explanation:

Total message sent by Christine,Milan, and Scott : 145

Let number of message sent by Scott be x .

Given that Christine sent 7 more messages than Scott

number of message sent by Christine is   x+7

It is also given that  Milan sent 4 times as many messages as Scott

number of message sent by Milan is   4*x = 4x.

Thus, sum of message sent by Christine,milan, and Scott  in terms of x

= x + x + 7 + 4x = 6x + 7

we already know that Total message sent by Christine,milan, and Scott is 145

thus,  6x + 7 should be equal to 145

6x + 7 = 145

=>6x = 145 - 7 = 138

=> x = 138/6 = 23

Thus,  

number of message sent by Scott is x = 23

number of message sent by Christine is   x+7 = 23+7 = 30

number of message sent by Milan is   4x = 4*23 = 92

Your new computer costs $2500 but it depreciates in value by about 14% per year

Answers

Answer:

Step-by-step explanation:

The computer's initial cost is 2500. It decreases by 14% every year. That means the price is multiplied by (100-14)/100=86/100 every year, for x years.

The equation is 2500*(86/100)^3. After three years, it is 2150.

Find the midpoint of the line segment with end coordinates of: (-3,-1)and(-4,2)
Give coordinates as decimals where appropriate.

Answers

Answer:

The answer for this question is (-3.5,0.5)

1. £500 is deposited in a bank paying 2% simple interest per annum. How much interest will have been paid after 2 years?
2. £500 is deposited in a bank paying 1% simple interest per annum. How much interest will have been paid after 5 years?
3. £1500 is deposited in a bank paying 6.25% simple interest per annum. How much interest will have been paid after 3 years?
4.£3600 is deposited in a bank paying 4% simple interest per annum. How much interest will have been paid after 4 years?
5.£4300 is deposited in a bank paying 5.75% simple interest per annum. How much interest will have been paid after 6 years?
6.£4000 is deposited in a bank paying 9.5% simple interest per annum. How much interest will have been paid after 8 years?
7.£3600 is deposited in a bank paying 14.75% simple interest per annum. How much interest will have been paid after 14 years?

Answers

1. 500 x 0.02 x 2 = £20
2. 500 x 0.01 x 5 = £25
3. 1500 x 0.0625 x 3 = £281.25
4. 3600 x 0.04 x 4 = £576
5. 4300 x 0.0575 x 6 = £1483.50
6. 4000 x 0.095 x 8 = £3040
7. 3600 x 0.1475 x 14 = £7434

Solve the system.
2x + y = 3
−2y = 14 − 6x

Answers

The answer is -4x+3y= -11 because you would flip the -6x over with the -2y and the equations would look like this
2x+y=3
6x-2y=14
Then the 6x and 2x would turn into a -4x and the -2y and y would turn into 3y and the 14 and 3 would turn into a -11

Answer:

y= -2 x= 3

y=  3 x= -7

Step-by-step explanation:

75
Which expression is equivalent to
72?
(7.5) (7.2)
(7-7-7-7-7) (7.7)
7.5
7.2
7.7.7.7.7
7.7

Answers

Answer:b

Step-by-step explanation:

Answer:

its b on edg 2020.

Step-by-step explanation:

i got it right :)

HELP MEEEEEEEEEEEEEEEEE

Answers

Call x the number of burgers in a Crave Case.

Mr. Thomas has 5x+5 burgers

Mr. Garcia has 3x + 15 burgers

We're told they're equal,

5x + 5 = 3x + 15

That's the answer to the first part:   5x + 5 = 3x + 15

2x = 10

x = 5

Answer: 5 burgers per Crave Case

Answer:

eegdujbslspm

Step-by-step explanation:

siuodby s9isbnp' udjauoeawkjshdguibdewnduewhsuidknfuk yeosjuwdi nldijs aidbskbodbshbbdpoopne f

HELP I DONT GET THIS AT ALL. ITS ABOUT INEQUALITIES EXPLANATION NEEDED

Answers

Answer:

Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.

Jenny sells 49.5 ounces of lemonade for a total of $39.60.
Find the unit price in dollars per ounce.
If necessary, round your answer to the nearest cent.

Answers

Answer:

0.8

Step-by-step explanation:

Divide the total price by how many ounces of lemonade to find the unit price.

The unit price in dollars per ounce will be;

⇒ 0.8 dollar per ounce.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Jenny sells 49.5 ounces of lemonade for a total of $39.60.

Now,

Since, Jenny sells 49.5 ounces of lemonade for a total of $39.60.

Hence, The unit price = 39.60 / 49.5 dollars per ounce.

                                  = 0.8 dollar per ounce.

Thus, The unit price in dollars per ounce will be;

⇒ 0.8 dollar per ounce.

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Factorise 25x+15 thank you for the help​

Answers

Answer:

5(5x + 3)

Step-by-step explanation:

Given

25x + 15 ← factor out the common factor 5 from each term

= 5(5x + 3) ← in factored form

(4+7+5+5+2)+( 12 5/8+ 12 3/4+ 12 7/8+ 13+ 13 1/8)=???
please help asp I will give ya 30 points

Answers

Answer:

87.375

Step-by-step explanation:

Answer:

699/8 or 87.375

Step-by-step explanation:

Assuming 12 5/8+ 12 3/4+ 12 7/8+ 13+ 13 1/8 are mixed numbers.

(PLS HELP WILL MARK BRAINLIEST) Which of these is an approximation of 7/9
to the nearest hundredth?

A) 0.078

B, 0.78

C) 1.29

D) 7.8​

Answers

Answer:

B

Step-by-step explanation:

7/9 = 0.777777...

This rounds to 0.78

B) 0.78 is the answer for this problem

HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed

Answers

Answer:

B

Step-by-step explanation:

The x term is 1 in all the pairs this would form a horizontal line (x=1)

Answer: C) ((-2,7), (0,12), (1,4), (1,5)

Step-by-step explanation: An ordered pair will usually have a pattern that'll repersent a linear function. Out of all of the options only C as a constant pattern.

I hope this helps!

These cones are similar. Find the volume
of the smaller cone. Round to the
nearest tenth.

Answers

Answer:

29.30cm^3

Step-by-step explanation:

If the two cone are similar then the heights are the same

let us find the height of the bigger cone

[tex]volume of cone= \frac{1}{3} \pi r^2h[/tex]

For the bigger cone

r= 3cm

v= 66cm^3

[tex]66=\frac{1}{3}*3.142*3^2*h\\ 66=\frac{28.278}{3} *h\\h*28.278=198\\h=\frac{198}{28.278} =7cm[/tex]

For the smaller cone

r=2cm

v=?

h=7cm

[tex]v=\frac{1}{3}*3.142*2^2*7\\\v=\frac{87.976}{3} \\\\\v=29.30cm^3[/tex]

Answer:

19.6

Step-by-step explanation:

[tex]66=(\frac{3}{2} )^{3} =\frac{27}{8}[/tex]

[tex]\frac{66 x8}{27} = 19.5555555556=19.6[/tex]

[tex]x=[/tex] · [tex]( multiplication symbol )[/tex]

Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.
The teacher earns 90% of the total paid.
How much does the teacher earn altogether on these days?
(4 marks)

Answers

Answer:

£216

Step-by-step explanation:

Cost = £6 per personTeacher earns = 90% of total

Total number of people:

13 + 11 + 16 = £40

Total payment:

40*6= £240

Teacher earns in total per given week:

240*90/100 = £216

When chords intersect in a circle, the vertical angles formed intercept congruent arcs

Answers

Answer:

c

Step-by-step explanation:

Keeping the properties of exponents in mind to what power must your raise the expression 7 1/2 to get 7 as a result

Answers

Answer:

x=2

Step-by-step explanation:

(7^ (1/2))ˣ = 7¹

1/2 *x =1

x =2

HELPP PLZZ
Choose the correct graph of the given system of equations.


y − 2x = −1

x + 3y = 4

Answers

Answer:

The one that says: One solution: (-1,1)

Step-by-step explanation:

y=2x-1

3=-1/3x+4/3

Find the y-intercept of the following equation. Simplify your answer.

y = 7x + 3


y-intercept =

Answers

The y intercept is going to be 10x

Answer:

y-intercept is 3

Step-by-step explanation:

This equation is a linear equation [tex]y=mx+b[/tex].

m is the slope.

b is the y-intercept.

[tex]y=mx+b[/tex] is the same as [tex]y=7x+3[/tex]

7 would be the slope.

3 would be the y-intercept.

Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct?

Answers

Answer:

Both conclusions are correct

Step-by-step explanation:

Ivan: The product of an even number of negative fractions is always positive.

When even numbers of same negative fractions are multiplied together, the product is positive.

For instance: -1 × -1

Since the total numbers to be multiplied are even (two -1), the product becomes +1

Ivan's conclusion is correct.

Polina: The product of an odd number of negative fractions is always negative.

When odd numbers of same negative fractions are multiplied together, the product is negative.

For instance: -1 × -1 × -1 × -1 ×-1

Since the total numbers to be multiplied are odd (five -1), the product becomes -1

(-1 × -1) × (-1 × -1) ×-1

= +1 × +1 × -1

The multiplication of same sign gives positive value while the multiplication of two different signs gives a negative value

= +1 × -1

= -1

Polina's conclusion is correct

Both are correct.

Answer:

both of them

Step-by-step explanation:

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