The first three terms of an arithmetic sequence are as follows.

The First Three Terms Of An Arithmetic Sequence Are As Follows.

Answers

Answer 1

Answer:

16,20

Step-by-step explanation:

As shown, you add four by each.

4+4=8

8+4=12

So, 12+4=16

16+4=20

Answer 2

Answer:

16 and 20

Step-by-step explanation:

In the arithmetic squence, we can tell that 4 is being added to each term.

Thus, we obtain the following rule:

4x  [Where "x" is the xth term]

To find the next two terms in the sequence, we need to determine the fourth and fifth term of the sequence. Let us substitute the "4" and "5" in the rule to determe the next two terms in the sequence.

Determining the 4th term of the sequence:

⇒ 4x

⇒ 4(4)

⇒ 16

Determining the 5th term of the sequence:

⇒ 4x

⇒ 4(5)

⇒ 20

Thus, the next two terms are 16 and 20.


Related Questions

What is 1/-7 as a whole number? Fast! please!

Answers

Answer:

I think this is correct.

Step-by-step explanation:

1/-7 =  -0.14285714285714

If you round it to the nearest hundredth, it will be -0.14.

I hope you meant negative :)

-0.143 would be the answer, this isn’t specific, it is more rounded

For what value of k will the following linear system have infinitely many solutions?
2a+b=-6, 6a+kb=-18

Answers

Answer:

K = 3

Explanation given below in the image,

I hope my answer helps you.

Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression 12 + 5 × 3 − 4 . Is Sophia correct? Choose the correct answers from the drop-down menus. Sophia is incorrect/correct . Her uncle’s actual age is 24/35/47/51

Please help! Btw the / means or

Answers

Answer:

1) 24 of age

Step-by-step explanation:

Sophia's uncle Reynald is 24 years old

12+(5×3)-4

12+15=27-4=23

But the only closest option to the sum is 24.

The sum to this word problem is 24.

Answer:

Sophia's expression is incorrect because of the rule of equation telling you to multiply first and then subtract. the correct expression is (12+5)3-4 which would equal to 47

Step-by-step explanation:

Name one reason thats makes a number Irrational?

Answers

Answer:

Step-by-step explanation:

A number is irrational if:

-it cannot be written as a ratio of two integers

-the decimal part goes on forever without repeating

-is a real number that is not rational

What is the slope of the table.

Answers

Answer:

slope is -5

Step-by-step explanation:

The formula for slope is:

m = (y2 - y1)/(x2 - x1)

m = slope

y2 = y-coordinate of second point

y1 = y-coordinate of first point

x2 = x-coordinate of second point

x1 = x-coordinate of first point

We can choose our first and second points as any points on the table, but we will choose the first andd second points which are (-5,10) and (-3,0).

y2 = 0

y1 = 10

x2 = -3

x1 = -5

m = (0-10)/(-3-(-5))

m = (-10)/(-3+5)

m = (-10)/(2)

m = -5

A bakery's specialty flour is a mixture of almond and coconut flour. The ratio of almond flour to coconut flour is 7:38 by volume. If a backery uses 180 cups of the flour mixture in a day, what is the volume, in cups, of the almond flour used?

Answers

Given ↷Ratio of almond flour to coconut flour ⇢7:38Number of cups of flour used in a dayㅤㅤㅤ ⇢ 180 cupsTo find ↷volume of almond flour in 180 cupsAnswer ↷28 cupsSolution ↷

According to the question,

The ratio of almond flour to coconut flour is 7:38

so,

the volume of the almond flour used in a day ,in terms of cups would be

[tex] \rightarrow \frac{180 \times 7 }{7 + 38} \\ [/tex]

[tex] \rightarrow \frac{1,260 }{45} \\ [/tex]

[tex] \rightarrow28[/tex]

hence ,28 cups of almond flour would be required to meet the need to prepare the mixture for a day.

______________________________________

volume of coconut flour required in a day ,in terms of no. of cups would be

[tex] \rightarrow \frac{180 \times 38 }{7 + 38} \\ [/tex]

[tex] \rightarrow \frac{6,840 }{45} \\ [/tex]

[tex] \rightarrow152[/tex]

hence ,152 cups of coconut flour are required to make the mixture.

_______________________________________

verification↷

Given that,

The ratio of almond flour to coconut flour is 7:38

7:38 = 28:152

7:38 = 7 :38

LHS = RHS

hence , verified ✓

Let almond be 7x and coconut be 38x

ATQ

7x+38x=18045x=180x=4cups

Total almond cupls=4(7)=28cups

write the equation for each translation of the graph of y=| 1/2x-2|+3
One unit up
one unit down

Answers

The equation for each translation of the graph of y=| 1/2x-2|+3 is

g(x)=| 1/2x-3/2|+3.

Given that,

[tex]y=| 1/2x-2|+3[/tex]

Translate the above one unit to the left

Replace y with f(x)

[tex]f(x)=| 1/2x-2|+3[/tex]

What is the meaning of translation?

A translation is a movement of the graph either horizontally parallel to the -axis or vertically parallel to the -axis.

When an absolute function is translated to the left, the resulting function is,

[tex]g(x)=f(x-h)[/tex]

Because it is been translated 1 unit to the left, h = -1

[tex]g(x)=f(x-(-1))[/tex]

[tex]g(x)=f(x+1)[/tex]

Now we calculate f(x+1)

[tex]f(x+1)=| 1/2(x+1)-2|+3[/tex]

[tex]f(x+1)=| 1/2x+1/2-2|+3\\f(x+1)=| 1/2x+1-4/2|+3\\[/tex]

[tex]f(x+1)=| 1/2x+(-3)/2|+3\\\\f(x+1)=| 1/2x-3/2|+3[/tex]

We have,g(x)=f(x+1)

[tex]g(x)=| 1/2x-3/2|+3[/tex]

To learn more about the translation visit:

https://brainly.com/question/1046778

(2016 Q9 ) Which two expressions are equivalent?

Answers

Answer:

C

Step-by-step explanation:

C has the only two equivalent expressions.

Answer C

PS. If wrong let me know. If not, five stars, thanks and Brainliest would be great. Glad I could help

Is anyone able to figure this out, I can't do this

Answers

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

[tex]\implies r^2 + r^2 = c^2[/tex]

[tex]\implies 2r^2 = c^2[/tex]

[tex]\implies c=\sqrt{2r^2}[/tex]

So the diagonal of the square = [tex]\sqrt{2r^2}[/tex]

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

[tex]\implies \sqrt{2r^2}+r=1[/tex]

[tex]\implies \sqrt{2r^2}=1-r[/tex]

[tex]\implies 2r^2=(1-r)^2[/tex]

[tex]\implies 2r^2=1-2r+r^2[/tex]

[tex]\implies r^2+2r-1=0[/tex]

Using the quadratic formula to calculate r:

[tex]\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{8}}{2}[/tex]

[tex]\implies r=-1\pm\sqrt{2}[/tex]

As distance is positive, [tex]r=-1+\sqrt{2}=\sqrt{2}-1[/tex]  only

The answer to your equation is C

Two expressions are shown below

P: 2(3x-9)
Q: 6x-9


Part A
Apply the distributive property to write an expression that is equivalent to expression P.

Answers

Answer:

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

6x-18=6x-9 combine like terms

- 6x     -6x    cross 6x

+18    +18       add 18+-9

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

x=9

answer all 3 for brainliest

Answers

5, 12, and 3.5 because if u do pie(3.15159…) timesthe radius and divide by 3 u get each answer

Elliot runs on a school track so he can measure his running distance each day. The table below shows the number of miles he ran each day this week.

What is the total distance Elliot ran from Sunday through Friday? Show your work.

Elliot’s goal is to run a total of 20 miles per week. What is the minimum number of miles he should run on Saturday to meet his goal? Show work or write an explanation to support your answer.

Answers

Answer:

three and three fourths

Step-by-step explanation:

add all the numbers and subtract from 20

Given the function f(x)=5x+4, find f(x-2)

Answers

Answer:

5x - 6

Step-by-step explanation:

f(x) = 5x + 4

f(x-2) = 5(x -2) + 4

f(x-2) = 5x - 10 + 4

f(x-2) = 5x - 6

I hope this helps!

Answer:

5x - 6

Step-by-step explanation:

Plug in x-2 to the function:

f(x - 2) = 5(x - 2) + 4

= 5x - 10 + 4

= 5x - 6

The red figure is similar to the blue figure. Describe a sequence of transformations
in which the blue figure is the image of the red figure.

(just one sequence needed)

*WILL GIVE BRAINLIEST TO THE CORRECT ANSWER*

Answers

Answer:

3/8 is blue because since 5/8 is red there is only 3/8 left of the figure so it has to be 3/8 blue

Step-by-step explanation: TYYYYYYY

5pts and the person who has the correct answer gets brainliest​

Answers

Answer:

4

Step-by-step explanation:

The one that weighs the less is 80

Pls give brainlest.

Answer:

EAsy 4

Step-by-step explanation:

PLS HELP I WILL CHOOSE BRAINLIEST

Answers

y=3x-3

Explanation:
because your using the formula y=max+b
b=the y-intercept

The high score for a video game is 36,480. Your current score is 34,280. Each dragonfly you catch is worth 1 point. You also get a 1000-point bonus for reaching 35,000 points. Select an inequality that represents the number d of dragonflies you must catch to earn a new high score. Then solve the inequality.
Which one is right?

Answers

Answer: Correct me if I am wrong, but since you chose the middle answer I will be awnsering that one

you will need to catch 1,000 more dragonfly so it will look like this

34,280 + 1000d + 1000 > 36,480

pls help me this is so frustrating

Answers

Answer:

x = 60°

Step-by-step explanation:

m∠EGD = m∠BGF = x°

The following m∠EGD, m∠DGC, m∠EGA lies on a straight line.

A straight line has total 180° interior angle.

solve:

m∠EGD + m∠DGC + m∠EGA = 180°x + 90° + 30° = 180°x + 120° = 180°x = 180° - 120°x = 60°

Find the value of x. please explain and show your work.

top(50) left side(24) bottom(32) right side (x)

Answers

Answer:

30

Step-by-step explanation:

use Pythagoras theorem

hypothenuse of bottom triangle =√24^2+32^2 = 40

x =√50^2-40^2 = 30

First, rewrite 23/25 and9/10 so that they have a common denominator.
Then, use <, =, or > to order 23/25 and 9/10.

Answers

Answer:

The lowest common multiple of 10 and 25 is 50, so set that as the denominator.

9/10=45/50 (multiply by 5)

23/25=46/50 (multiply by 2)

46/50 > 45/50 therefore

23/25 > 9/10.

Hope this helps :)

Step-by-step explanation:

To rent a car, company A charges $55 per day and 33 cents per mile. Company B charges no daily fee, but 55 cents per mile. How many miles must you drive for Company B to cost the same as company A?

please show your work
and give the answer

Answers

Answer:

about 101 miles to equal the same amount as place A. (if this is daily")

Step-by-step explanation:

so how I went about this is first I added 55+0.33 because thats how much you need to drive one mile for one day with place A. and that equaled 50.30 so then I divided 50.30 by 0.55 because thats all it costs per mile for place B so I got 100.545454545 so i just rounded it up to 101

i hope im right plmn;)

Answer:

no they are not the same tax or rate because 33 cents off is company B

Step-by-step explanation:

88 cents for company A and 55 cents for company B

and company A charged a fee of 33 cents but company B did not

Sketch a graph of the function g(x)=(x-3)²-4. What is the range of g(x)?

Answers

Answer:Find where the expression  

is undefined.

List all of the vertical asymptotes:

This is what your graph would look like:

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

PLEASE ANSWER FAST: What factor is represented by the yellow shading in the model? [Hint: Crossing the bold line means the whole number 1 and shading equals numerator]

(I will give brainliest to the correct question)

Answers

Answer 5/35
Explain 5 out of 35 are shaded yellow

A basket contains the following pieces of fruit: 3 apples, 4 oranges, 4 bananas, 2 pears, and 3 peaches. Jonas picks a fruit at random and does not replace it. Then Beth picks a fruit at random. What is the probability that Jonas gets an orange and Beth gets a peach?

Answers

Answer:

Probability that Jonas gets an orange is 1/4 and Beth gets a peach is 3/16.

Step-by-step explanation:

Here,

The total number of fruits n(S) = 3 + 4 + 4 + 2 + 3

= 16

The total number of oranges n(O) = 4

The total number of peas n(P) = 3

Now,

P(O) = n(O)/n(S)

= 4/16

= 1/4

Again,

P(P)= n(P)/n(S)

= 3/16

Answer if u know please ASAP if correct and speedy I’ll give brainliest

Answers

Answer: tbh its not a

Step-by-step explanation: i just know

Answer:

Answer is C.      2, -4,

Step-by-step explanation:

What value of x makes the equation 4x + 5 = 11 true?

Answers

Answer:

D

Step-by-step explanation:


If we plug in D, we get 4(3/2) + 5 = 11.

4(3/2) + 5 = 11

12/2 + 5 = 11

6 + 5 = 11

11 = 11

Therefore,the answer is D.

plsplsplsplspslpslpslpslpslpslpspslsplsplsplsplsp helphelphelphelp mememememem

Answers

Dude Calm down you can just look it up

Given a right triangle with a leg of 8 and a hypotenuse of 17, what is the length of the other leg?

Answers

Pythagorean Theorem: a2+b2 = c2
where a, b are the sides of the right triangle and c is the hypotenuse

82 + x2 = 172 where x is the other side
x2 = 172 - 82
x2 = 289-64
x2 = 225
x = √225
x = 15

Answer:

a

Step-by-step explanation

bc the legs have 2 b shorter than the hypotenuse

negative number on a number line 2

Answers

I am pretty sure it is Point D

Answer:

point d is correct answer

Please help i have been struggling with this

Answers

Answer:

When put into a decimal, the answer is 0.09 recurring.

Step-by-step explanation:

Divide the numerator by the denominator to convert a fraction to a decimal. The entire number stays to the left of the decimal when there is a mixed number.

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