The first five terms of an arithmetic sequence are given: $4,10,16,22,28, \\ldots$ What is the sixth term in the sequence

Answers

Answer 1

Answer:

34

Step-by-step explanation:

to find the number to add 4 which will increase it to 10 with them subtract 10 from 4 to find the number which is increasing termly

=> 10 - 4 = 6

increasing by 6

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22-

22 + 6 = 28

28 + 6 = 34

6th term = 34


Related Questions

slide 1) Write an equation in point slope form that passes through the point (1,8) & slope of -3 y-y,=m(x-x₁) 2) Write the equation in slope intercept form.​

Answers

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y-8 = -3x+3\implies y=-3x+11[/tex]

Identify the volume of the composite figure rounded to the nearest tenth.

Answers

Answer:

  (c)  115.2 ft³

Step-by-step explanation:

The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.

__

Cube

The volume of the cube on the left is given by ...

  V = s³

  V = (4.2 ft)³ = 74.088 ft³

__

Pyramid

The volume of the pyramid on the right is given by ...

  V = 1/3Bh . . . . . where B is the area of the square base

  V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³

__

Total

The volume of the composite figure is the sum of these volumes:

  cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³

The volume of the composite figure is about 115.2 ft³.

Solve for the missing angle measure
Answer choices
50
120
70
60

Answers

Answer:

70 degrees

Step-by-step explanation:

120 + angle V = 180     V = 60

60 + 50 + ? = 180

? = 70

i think it would be 70 because the other 2 angles are 50 and 60 and when u add those it’s 110 then you subtract that from 180 and you get 70

Students have been assigned to read a book that is 150 pages. Every student reads at a different speed. If a student read the book in 5 days, on average, how many pages did they read every day? ​ (I just found the answer. 150 ÷ 5 = 30. 30 is the answer)

Answers

Answer:

30

Step-by-step explanation:

You just have to do 150 divided by 5 because you are trying to find out how many pages per day that student read.

The student read 30 pages in one day.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Pages in a book = 150 pages

Number of days book completed= 5 days

so, each day the student read

= 150/ 5

= 30 pages

Hence, the average rate is 30 pages in one day.

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Simon and Mike are brothers
and are in charge of
walking their dog Buster. Mike walks the dog
every 3 days and Simon walks the dog every 4
days. On what day will they end up walking Buster
together?

Answers

Answer:

1

Step-by-step explanation:

Find the missing exterior angles in triangle

Answers

Answer:

working on the two will edit this ans afterwords

PLEASE PLEASE PLEASE HELP​

Answers

84.78
Explanation:
13.5•2=27
27•3.14=84.78

Answer:

c. 84.78 mm

Step-by-step explanation:

Circumference of a circle

2πr

Given

radius = 13.5 mm

Solving

2 x 3.14 x 13.527 x 3.1484.78 mm

help me with this pleaseee…!

Answers

Answer:

All real numbers

Step-by-step explanation:

We can start out by knowing that the domain of a graph is, the side, to side from the x axis directions.

We can see that the line continues of the graph shown, meaning it is infinite. Meaning the answer is the domain is all real numbers.

We can double check by seeing that the other options don't work or aren't enough:

[tex]x\geq 2\\and\\x\leq 2\\and\\x\geq -4[/tex]

The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is "All real numbers"

The stem and leaf plot represents a set of data

Answers

Answer:

you can do 97 - 2 which is 95, that's the range

Tori received a $20 gift card for school supplies. Paper is $5 per pack and notebooks are $3 each. If Tori purchases 1 pack of paper. How many notebooks is Tori able to purchase?

Answers

Answer:

5

Step-by-step explanation:

After buying the Paper Tori is left with $15.

Since each notebook costs $3, 15 / 3 = 5 so she can buy 5 notebooks.

Answer:

5 notebooks. she bought one paper for 5$, meaning she is left with 15$ because 20-5=15. now that we have 15, we need to divide it by three, because notebooks are 3$ each, leaving us with 5 notebooks.

Step-by-step explanation:

Find the slope of the line.
On a coordinate plane, a line goes through (0, negative 7) and (7, 0).
a.
Negative 7
c.
Negative 1
b.
7
d.
1

Answers

Given ↓Two points that a line goes through

To Find ↓The line's slope

Calculations ↓

When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.

This is the formula :

[tex]\boxed{\\\begin{minipage}{3cm}slope~formula~: \\ $\displaystyle\frac{y2-y1}{x2-x1}$ \\ \end{minipage}}[/tex]

y2 and y1 are y-coordinates, and x2 and x1 are x coordinates

Plug in the values :

[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0-(-7)}{7-0} $\end{minipage}}[/tex]

[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0+7}{7} \end{minipage}}[/tex]

Which simplifies to [tex]^7/_7[/tex], or 1

Slope ↓

1 (Option D.)

hope helpful ~

What is the approximate diameter of a sphere with a volume of 113 cm^3

Answers

Answer:

B. 6 cm

Step-by-step explanation:

[tex]\text{Take the volume of a sphere and solve for r.}\\V=\frac{4}{3}\pi r^3\\\text{We already know that the volume is 113, so substitute that value.}\\113=\frac{4}{3}\pi r^3\\\text{Divide both sides by 4/3 pi.}\\\frac{113}{\frac{4}{3}\pi}=r^3\\\text{Divide 113 by 4/3 pi.}\\r^3=26.98\\\text{For a more accessible value, round up.}\\r^3 \approx27\\\text{Take the cube root of both sides.}\\r=3[/tex]

Now that the radius is known, all we have to do is multiply it by 2 to get the diameter. Here the answer is simply 3 * 2, or 6.

Answer:

B. 6 cm

Step-by-step explanation:

You can use the formulas [tex]d=(\frac{6V}{\pi } )^{\frac{1}{3} }[/tex] or [tex]d = \sqrt[3]{\frac{6V}{\pi } }[/tex] to solve for diameter using volume. I will use the first forumla for this problem.

1. Substitute 113 for "V":

[tex]d=(\frac{6(113)}{\pi }) ^{\frac{1}{3} }[/tex]

2. Multiply in the parenthesis:

[tex]d=(\frac{678}{\pi } )^{\frac{1}{3} }[/tex]

3. Divide by pi (3.14):

678 ÷ 3.14 = 215.923567

[tex]d=215.9^{\frac{1}{3} }[/tex]

4. Apply the exponent:

d = 5.99907...

d = 6 cm

hope this helps!

Which expression is equivalent to -6x + 7.5?
A. -3(2x-2.5)
B.
-3(2x + 2.5)
C.
-3(2x-7.5)
D. -3(2x + 7.5)

Answers

Answer:

[A] -3(2x-2.5)

Step-by-step explanation:

Given:

Which expression is equivalent to -6x + 7.5?

Solution:
Going through all answer choices:

[A] -3(2x-2.5)

Simplify

-6x + 7.5

[B] -3(2x + 2.5)

Simplify

-6x - 7.5

[C] -3(2x-7.5)

Simplify

-6x+22.5

[D]  -3(2x + 7.5)

Simplify

-6x - 22.5

Hence, the answer is [A] -3(2x-2.5)

Kavinsky

Hey there!

The expression which is equivalent to - 6x + 7.5 is option (A) - 3(2x - 2.5).

☆Explanation:

- 6x + 7.5

If you we split this equation then we'll get -3(2x-2.5).

Because,

- 3 × 2x gives -6x(-3) × - 2.5 gives + 7.5

Hope it helps

Solve the equation:
4(x-2)=3x-6

Answers

Answer:

The answer is X =2

Step-by-step explanation:

ABCD represents the plan of a field.

There is a path across the field that

starts at a

is the same distance from BA and BC.

Using ruler and compasses, show the position of the path.

Answers

A quadrilateral is a polygon with 4 number of sides and 4 vertices. The shape of the field is either square or a rhombus.

What is a quadrilateral?

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

Given that ABCD represents a field, therefore, the field is a quadrilateral. Now, as the path is going between the field. And starts from A therefore, it will end at C.

Since It is the same distance from BA and BC. Therefore, it will be the diagonal of the quadrilateral. And as BA and BC are consecutive sides and are of the same length.

Hence, the shape of the field is either square or a rhombus.

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11
In the equations below, x is the independent variable, and y is the dependent variable
Equation Number
1
2.
Equation
4y = 3x
8y = 5x
= 6x
5y = 8x
3
8y =
4.
Which two equations have the same constant of proportionality?
А 2 and 4
B
2 and 3
с
1 and 3
D
1 and 2

Answers

Using a proportional relationship, it is found that the two equations that have the same constant of proportionality are givn by:

с 1 and 3

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the functions and constants are given as follows:

1. 4y = 3x -> k = 3/4.2. 8y = 5x -> k = 5/8.3. 8y = 6x -> k = 6/8 = 3/4.4. 5y = 8x -> k = 8.5.

Equations 1 and 3 have the same constants, hence option c is correct.

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simplify
(1/4 + 5/2) -2
please show step by step

Answers

Answer:

3/4

Step-by-step explanation:

1/4+5/2=1/4+10/4=11/4=2 3/4-2=3/4

WILL GIVE BRAINLIEST TO WHOEVER CAN SOLVE THIS CORRECTLY

Answers

Answer:

C ∪ D = (-∞, 2] ∪ (7, ∞)

C ∩ D = Ø  (empty)

Step-by-step explanation:

C ∪ D:  The union of two sets or intervals is the set of elements which are in either set.  

C ∩ D:  The intersection of two sets or intervals is the set of elements which are in both sets.

Interval notation symbols

Square brackets [ ]: both endpoints are included in the set.

Round brackets ( ): both endpoints are excluded in the set.

Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.

Square, round [ ): left endpoint is included and right endpoint is excluded in the set.

Given:

C = {x | x ≤ 2} D = {x | x > 7}

Therefore,

C = (-∞, 2]D = (7, ∞)

Therefore,  C ∪ D = (-∞, 2] ∪ (7, ∞)

As x is either equal to or less than 2, or greater than x, there are no elements which are in both sets.

Therefore,  C ∩ D = Ø  (empty)

what is the equation (x-10)^2

Answers

Answer:

Step-by-step explanation:

(x - 10)² is not an equation. It is in factorized form. If you do not mention the equals sign, then that is not an equation. But however, this factorized form can be converted to expanded form using  Algberaic formulae. The formulae are,

(a - b)² = a² - 2ab + b², (a + b)² = a² + 2ab + b²

According to the question,

a = x and b = 10

(x - 10)² = x² - 2 (x)(10) + 10²

             = x² - 20x + 100

x² - 20x + 100 is the expanded form of (x - 10)².

What is the image of (-8,-12) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

Answer: Find the equation with a point and y-intercept.

y = 49/32x + 1/4

image below

A restaurant chains owners are trying to decide if they want to open up a franchise in your town. To help them decide, they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling method? Explain

Answers

Answer:

Yes there is a bias, they are only samplying from one resturant. This resturant could be any type of resturant. the food could be bad or good which wouldnt give us the right info we are looking for. You would want to interview as many customers from as many different resturants in that area.

Step-by-step explanation:

Kyle and Josh have 70 cds. Kyle has 8 more cds than Josh. How many cds does each boy have?

Answers

Answer: Kyle has 39 and Josh has 31

Step-by-step explanation:

you do 70-8 which equals 62 then divide by 2 which is 31. But Kyle has 8 more so add 31+8 so Josh has 31 and Kyle has 39

An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they should add the new roller coaster, they poll people at the park to see how many rode the current roller coaster.

As people are leaving the park they randomly sample 600 people.
Out of the 600 people, 400 rode the roller coaster at the park.
Construct a 90% confidence interval to represent the proportion of riders who rode the roller coaster at the park. All conditions for inference have been met.

Answers

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The sample size and the estimate are given by:

[tex]n = 600, \pi = \frac{400}{600} = 0.6667[/tex]

Hence, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984[/tex]

The 90% confidence interval is given by: (0.6350, 0.6984).

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A taxi driver drove 30 miles on Monday, 50 miles on Tuesday, 60 miles on Wednesday, 70 miles on Thursday, and 90 miles on Friday. The average number of miles he drove per day was ___

Answers

Answer: 60

Step-by-step explanation: 30+ 50 + 60 + 70 + 90 = 300

Divide by 5

pls help
asap
-
-
-
-
-
thx

Answers

[tex]\bold{FULL ANSWERS:}[/tex]

8. A computer application generates a sequence of musical notes using the function f(n) 6(16)", where n is the

number of the note in the sequence and f(n) is the note frequency in hertz. Which function will generate the same

note sequence as fon)?

A g(n) = 12(2)

B. H(n) – 6(2) n

C. P(n) = 12(4)2n

Dk(n) = 6(8)an

Answers

Applying an exponential property, it is found that the function that will generate the same note sequence as function f(n) is given by:

B. [tex]H(n) = 6(2)^{4n}[/tex]

What is function for the note sequence?

The function for the node sequence is defined by:

[tex]f(n) = 6(16)^n[/tex]

A function that will the same note sequence as function f(n) has the same initial value of 6. Additionally, applying an exponential property, we have that:

[tex]H(n) = 6(2)^{4n} = 6(2^4)^n = 6(16)^n[/tex]

Hence option B is correct.

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what is the midpoint of C(5,3 and D(-3,-6)

Answers

Answer:

Step-by-step explanation:

Midpoints of two coordinates is expressed using the formula;

M(X, Y) = (x2+x1/2, y2+y1/2)

Given the coordinates  c(5,3) and d(-3,-6)

x1 = 5, y1 = 3, x2 = -3 and y2 = -6

X = x1+x2/2

X = 5+(-3)/3

X = 5-3/2

X = 2/2

X = 1

Also;

Y = y1+y2/2

Y = 3+(-6)/2

Y = 3-6/2

Y = -3/2

Y = -1.5

The perimeter of a triangle is 104 units. The combined length of two of the sides of the triangle is 64 units. What is the length of the third side of the triangle in units? A 168 units B 6,656 units C 40 units D 1.625 units​

Answers

Answer:

40<x<168

Step-by-step explanation:

There are 27 open spots to compete in the fishing tournament. If each boat can hold 5 people, how many boats are needed to hold all 27 competitors during the tournament?

Answers

The answer is 6 each boat has 5 in it so just add it

EMERGEBCY I NEED TBIS BRO LIKE IN 5 MINHTES DUDE

Answers

Answer:

Below in bold.

Step-by-step explanation:

The defender is at (x) = 35 yards

So height  y = (-1/40)35^2 + 35 + 6 = 10.375 ft

So as he only jumps to 9 feet he will not prevent the catch

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The princess and her son stand in front of them.Princess: It is time for my son to join his father in the ocean.Prince: I'm very sorry for all the trouble I've caused.Villagers: Back to the ocean with you!Prince: I promise to never take more than my share of the fish again.Prince hugs his mother goodbye and wraps the cloak around his shoulders. He jumps into the pool and swims down so deep that no one can see him. Far off, out in the ocean, a huge shark fin can be seen bobbing above the water. Soon, a smaller fin joins it.Narrator: The shark prince joined his father in the ocean, and to this day, the sharks never take more than their share of the fish.Which of these paragraphs best summarizes scene 4 of the play The King of Sharks?aAfter the fishermen discovered that the shark prince was stealing the fish, the shark prince wanted to apologize, but the villagers insisted that he return to the ocean. So, the princess said goodbye to her son, and the shark prince put on his magical cloak and swam away to his father. From then on, sharks only ate their share of fish.bAfter the fishermen discovered that the shark prince was stealing the fish, the shark prince wanted to apologize. He told them that he was very sorry for stealing the fish. His mother sent him to the ocean to be with his father.cFishermen and other villagers were crowded around the pool outside the princess's house. The princess and her son stood in front of them. The prince hugged his mother goodbye and wrapped the cloak around his shoulders. The shark prince joined his father in the ocean, and to this day, the sharks never take more than their share of the fish.dWhen the fishermen discovered that the shark prince was stealing the fish, the villagers gathered around the princess's house. They were angry and wanted action. The shark prince would return to the ocean. Find the 6th term of the arithmetic sequence X 9, -X 11, -3.3 13, ... who did the nazis blame most of Germany's economic and social problems on??? According to Grasmik, Cochran, Bursik, and Kimpel which religious group had the highest level of support for the death penalty Reported Statements Change this direct speech into reported speech 11. "I don't like chocolate" She told me 12. "I won't see you tomorrow" She said 13. "She's living in Paris for a few months" She said 14. "I visited my parents at the weekend" She told me 15. "She hasn't eaten sushi before" She said 16 "I hadn't travelled by underground before I came to London" She said 17 "They would help if they could" She said 18. "I'll do the washing-up later" She told me 19 "He could read when he was three" She said 20. "I was sleeping when Julie called" She said Which part of this chemical process requires energy? The lengths of two consecutive sides of theparallelogram shown are 10 inches and 15inches. 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