Choose the conjecture that describes how to find the 6th term in the sequence 4, 20, 36, 52, ….

A)
Add 16 to 32.

B)
Add 32 to 52.

C)
Multiply 52 by 5.

D)
Multiply 52 by 9.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

20 - 4 = 36 - 20 = 52 - 36 = 16

thus to obtain the next term in the sequence add 16 to the previous term

To obtain 2 terms distant then add 16 + 16 = 32

so 6th term = 52 + 32 = 84


Related Questions

Find p(7).

help please

Answers

Answer:

B) 1/8

Step-by-step explanation:

Given

A spinner with 8 sections;Each section has one of the numbers 1 through 8.

The probability of each number is same:

P(n) = 1/8, where n- any number between 1 and 8.

So P(7) is also 1/8.

Correct choice is B

ANSWER THIS FOR BRAINLIEST

Answers

The 3rd one is the correct answer

Answer:

(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.

Step-by-step explanation:

We are given the options,

(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.

(b) The number of accidents was reduced by 0.67 per month every month.

(c) The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.

(d) There were 0.67 accidents per month.

We can eliminate option 'c' because the accidents are obviously not increasing, but rather, decreasing. We can also eliminate option 'd' (which to a certain extent is rather vague) because there is a trend in the data. If there were only 0.67 accidents per month (which is impossible anyway), then the graph would be that of [tex]y=0.67[/tex] which is indeed a straight line. Finally, we can eliminate option 'b' because the x-axis isn't in terms of months, but drivers in the program. This leaves 'a' as the only logical answer, which we can see is true because the graph trends downward (hence the negative slope) by about 0.67 per 100 drivers. With a bit of understanding about the problem, we can eliminate the illogical answers to find the correct one!

Note: you may be wondering why the slope isn't just -0.67, but that is because then it would go down by 0.67 for each driver in the program. Therefore, the slope was divided by 100 to yield us a slope of -0.0067 which makes it go down 0.67 per 100 drivers instead of only 1 driver.

PLEASE HELP ME
Which graph best represents the solution to the system of equations shown below?

y = -2x + 14
y = 2x + 2

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.

Answers

Answer:

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.

Step-by-step explanation:

Finding the solution of these 2 equations

y = -2x + 14y = 2x + 2

Equating them :

-2x + 14 = 2x + 22x + 2x = 14 - 24x = 12x = 3

Substitute in a equation to find y :

y = 2(3) + 2y = 6 + 2y = 8

The solution is (3, 8).

The 1st explanation is the correct one.

please help me fast as you can ​

Answers

(i) 47 * 1 = 47

Why? This is because the Multiplication Identity Property states that any number w multiplied by 1 is equal to w

(ii) 135 * 0 = 0

Why? The Zero Property of Multiplication states that 0 multiplied by any number is 0.

(iii) 3 * 5 = 5 * 3

Why? The order numbers are multiplied in does not impact the answer's value according to the Commutative Property of Multiplication

(iv) 7 + 0 = 7

Why? The Zero Property of Addition states that 0 added to any number x is equal to x

(v) 125 * 315 - 125 * 215 = 125 * (315 - 215) = 12500

Why? The Distributive Property states that a * c - a * b = a * (c - b).

WILL GIVE BRAINLIEST 50 POINTS

1. Are the side lengths congruent?




2. Are the opposite sides parallel?






3. Are the adjacent sides perpendicular?

Answers

Answer:

1. Yes, all sides are congruent

2. Yes, the opposite sides are parallel

3. Yes, adjacent sides are perpendicular

subtract-2x^2-6x+10 from -2x +9

Answers

Answer:

-4x0 -6x -1

Step-by-step explanation:

I believe its true.

The probability distribution for a
random variable x is given in the table.
X
-5 -3 -2 0
2 3
Probability .17
.13
.33 .16 .11
.10
Find the probability that x ≤ 0

Answers

Answer:

[tex]P(x\leq 0)=0.37[/tex]

Step-by-step explanation:

[tex]P(x\leq 0)= P(0)+P(2)+P(3)P(x\leq 0)= 0.16+0.11+0.10\\P(x\leq 0)=0.37[/tex]

Answer: 0.79

Step-by-step explanation:

Avery had $25.75 in her wallet. If she bought lunch with 87 dollars from her wallet, how much money did she have in her wallet
after lunch?
A. $16.00
B. $17.45
C. $17.00
D. $17.75

Answers

Answer is D even tho u typo it i still got it so u do 25.75 from 8.00 yw.

The volume of a cone of height hand base radius r is given by:​

Answers

The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.

Answer:

The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.

Step-by-step explanation:

hope it helps you :)


Masud rode his bike 48 miles in 6 days. He rode the same number of miles
each day. How many miles did he ride each day?
A 7
B 8
C 9
D 42

Answers

B 8 because 8x6 is 48

1. Find the value of x in this figure.

Answers

Answer:

x = 30º

Step-by-step explanation:

Let's call the midpoint of OP, R.

The triangle of OQR would be an equilateral triangle since OQ = OR as they are both radii and is OQR and ORQ are 60º, ROQ is also 60º, making the triangle equilateral. Because tangents meet a circle at 90º, the angle RQP would be 30º and since angles on a straight line add to 180º, the angle QRP would be 180-ORQ which is 120º. Now we know the 2 angles in triangle of QRP so we can work out the final angle since angles in a triangle add to 180º. So:

180 - 120 - 30 = 30º.

x = 30º

This would also prove that QR and RP are the same since base angles in an isosceles triangle are equal.

(a) Find the area of the shaded region in the figure below. (Take a = 3.14)
4 m
5 m
12 m
[31
(6)
(11)
(c)
14 m
TH
6m: fom
Ilm
*
- 7 m
5 m
th
The figure shows the plan of a room. Find the
(i)
perimeter of the whole room
area of the whole room
[3]
8
[2]
6
/13 cm 2
3
5
4
The diagram shows a circle of radius 13cm being divided into S equal sectors. Find
the
(i)
(1)
Area of the circle,
Total area of the sectors 1 , 3, 5 and 7
[Take 3.14]

Answers

Step-by-step explanation:

Firstly find the area if the parallelogram which is

=length of the base × vertical height

=

[tex]12m \times 5m[/tex]

=

[tex]60 {m}^{2} [/tex]

Now solve for the area of the circle

=

[tex]\pi {r}^{2} [/tex]

RADIUS = DIAMETER ÷2

[tex] \frac{4m}{2} [/tex]

=

[tex]2m[/tex]

so the area of the circle

=

[tex] \frac{22}{7} \times 2m \times 2m[/tex]

[tex] \frac{22}{7} \times 4 {m}^{2} [/tex]

[tex]12.57 {m}^{2} [/tex]

subtract the area of the circle from the parallelogram

=

[tex]60 {m }^{2} - 12.57 {m}^{2} [/tex]

=

[tex]47.43 {m}^{2} [/tex]

Done

Audrey deposited $80 in an account earning 10% interest compounded annually.

To the nearest cent, how much will she have in 3 year Use the formula 8-p(1 + r), where B is the balance (final amount) p is the principal (starting amour.), ris the interest rate expressed as a decimal, and t is the time in years.

$?​

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$80\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=80\left(1+\frac{0.10}{1}\right)^{1\cdot 3}\implies A=80(1.1)^3\implies A=106.48[/tex]

based on a survey of 425 master’s programs in business administration, the u. s. news & world report ranked the indiana university kelley business school as the 20th best business program in the country (america’s best graduate schools, 2009). the ranking was based in part on surveys of business school deans and corporate recruiters. each survey respondent was asked to rate the overall academic quality of the master’s program on a scale from 1 “marginal” to 5 “outstanding.” use the sample of responses shown below to compute the weighted mean score for the business school deans and the corporate recruiters. discuss.quality business school corporate assessment deans recruiters 5 44 31 4 66 34 3 60 43 2 10 12 1 0 0

Answers

The deans have a higher weighted mean score for business schools which is 3.8.

What is weighed mean?

The weighted arithmetic mean is similar to the conventional arithmetic mean in that certain data points contribute more than others to the final average.

Weighed mean = (weightage x parameter)/no of parameters

The Weighted mean score for deans

= [(5×44)+(4×66)+(3×60)+(2×10)]/(44+66+60+10)

= 684/180

= 3.8

The Mean weigted score of recruiters

= [(5×31)+(4×34)+(3×43)+(2×12)]/(31+34+43+12)

= 444/120

= 3.7

Hence, The deans have a higher weighted mean score for business schools which is 3.8.

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Find the distance between the two points. Round to the nearest tenth if necessary.
(1,5), (5,2)
A. 2.6
B. 1
C. 5

Answers

Answer:

d =5

Step-by-step explanation:

d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

at (1,5), (5,2)

d= [tex]\sqrt{(5-1)^2 +(2-5)^2}[/tex]

[tex]d = \sqrt{16 + 9} \\d=\sqrt{25}\\ d =5[/tex]

Therefore 5 is the distance.

Answer:

C

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (1, 5 ) and (x₂, y₂ ) = (5, 2 )

d = [tex]\sqrt{(5-1)^2+(2-5)^2}[/tex]

   = [tex]\sqrt{4^2+(-3)^2}[/tex]

    = [tex]\sqrt{16+9}[/tex]

    = [tex]\sqrt{25}[/tex]

    = 5

Which expression can be used to find the volume of the cone in this composite figure?


A cylinder and cone. Both have a radius of 4 centimeters. The cylinder has a height of 7 centimeters and the cone has a height of 8 centimeters.

V = one-third pi r squared h = one-third (4) squared (8)
V = one-third pi r squared h = one-third pi (8) squared (4)
V = one-third pi r squared h = one-third pi (4) squared (7)
V = one-third pi r squared h = one-third pi (8) squared (8)

Answers

The expression that represents the volume of the cone is one-third pi r squared h = one-third (4) squared (8).

What is the volume of the cone?

A cylinder is a three-dimensional object. It is a prism with a circular base. A cone is a three-dimensional object made up of a circular base and a vertex.

volume of a cylinder = πr²h

= pi x r² x 7

volume of a cone = 1/3  πr²

= 1/3 pi x 4² x8

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Answer:

A is Correct

Step-by-step explanation:

What statement is NOT true comparing the two
box and whisker plots?

Answers

Answer: C

Step-by-step explanation:

The minimum is the line furthest to the left, and they are both lined up. The median, the line inside the box, is on 12. The third quartile, the edge of the box on the right hand side, are the same for both graphs. However, test 1 has a lower first quartile, the edge of the box on the right hand side, than test 2.

C because it is higher den the first

G
Which represents the solution(s) of the graphed system of equations, y = -x² + x + 2 and y = -x + 3
5
4
3
2
←+
-5-4-3-2-1,
2 3 4 5
O (1, 2)
Next
Mark this and return
-2+
8 + 9
(1 21 and 10 21
X
Save and Exit

Answers

Answer: (1, 2)

Step-by-step explanation:

y = -x² + x + 2

y = -x + 3

1. Set the two equations equal to each other:

-x² + x + 2 = -x + 3

2. move one of the equations to the other side:

-x² + 2x - 1

3. Factor out a -1:

-1 (-x² + 2x - 1) = 0

x² - 2x + 1

4. Factor:

(x - 1)(x - 1)

x = 1

5. Plug in 1 to one of the equations:

y = -x + 3

y = -(1) + 3

y = 2

6. Write as coordinates:

(1, 2)

What is the sum?

3y/ y^2+7y+10 + 2/y+2

Answers

Answer:

5

___    

y+5

Step-by-step explanation:

first

---->         3y                    2(y+5)

       ---------------------- +   ----------

         (y+2)(y+5)              (y+2)(y+5)  

then

---->   3y+2(y+5)

          ------------

          (y+2)(y+5)

then

---->  3y+2y+10

       ----------

        (y+2)(y+5)

then

-----> 5(y+2)

        ---------

        (y+2)(y+5)

then

-----> 5

     -------

       y+5


Determine the equation of the line passing through the points (-1, 1) and (1, 7).
Write the line in standard form Ax+By=C

Answers

Answer:

[tex]3x + y = -4[/tex]

Step-by-step explanation:

We were given to points on the line we are trying to find, hence we are able to determine the slope/gradient.

[tex]( - 1, \: 1) \: and \: (1, \: 7) \\ slope = \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ s = \frac{7 - 1}{1 - ( - 1)} \\ s = \frac{6}{2} [/tex]

Slope is equal to 3.

Since we have the value for the slope, we can now use one of the points on the line to determine the equation of the line.

note that the coefficient of x is the slope. In this case the A from the standard form (Ax + By= C) is the slope.

[tex] \\ let \: us \: use \: the \: point \: ( - 1, \: 1) \\ a = 3 \: \: \: \: y = 1 \: \: \: x = - 1\\ ax + by = c \\ 3( - 1) + 1 = c \\ - 3 + 1 = c [/tex]

[tex] - 2 = c \\ therefore \: the \: equation \: of \: the \\ \: line \: is \\ ax + by = c \\ 3x + y = - 4[/tex]

Select all the correct answers.

If the measure of angle 0 is 2pi/3, which statements are true?

A. The measure of the reference angle is 60 degrees

B. Cos(0)= 3/2

C. The measure of the reference angle is 30 degrees.

D. Sin(0)= -1/2

E. Tan(0)= -3

F. The measure of the reference angle is 45 degrees.

Answers

The correct answers: tan 120= -√3.

The correct answer is (E)

What is an angle?

Angles are the angles between  bisecting lines or surfaces at or near their meeting point.

Given : [tex]\theta\\[/tex] = 2π/3

               = 2*180/3= 120

So, First and the fourth statement is not correct.

and, cos 120= -1/2

sin 120= √3/2

So, B and D statement is also wrong

tan 120= -√3.

Hence, the only correct statement is tan 120= -√3.

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Which type of video was rented most often! Use the graph to answer the question.
A. Children’s
B. Comedy
C. Action
D. Drama

Answers

Answer:

B

Step-by-step explanation:

the biggest portion of the pie graph is labeled comedy, so that would be your answer.

B. Comedy Because the comedy has the rented most

) Which expression is equivalent to 5(x + 7)?

Answers

Answer:

= 5x +35

Step-by-step explanation:

Steps

5(x+7)

Apply the distributive law: ab+c) = ab + ac

5(x+7) =5x + 5: 7

=5X+5: 7

Multiply the numbers: 5 7= 35

= 5x +35

I will give brainliest and 40 points, please help

Answers

2. 1/20, 5%, 0.05
3. 1/5, 20%, 0.2
4. 1/2, 50%, 0.5

(1-6i)-(3-4i)
please solve this perblom

Answers

Answer:

-2 - 2i

Step-by-step explanation:

open the bracket

1 - 6i - 3 + 4i

1 - 3 + 4i - 6i

-2 - 2i

Answer:

-2 - 2i

Step-by-step explanation:

Complex number

Add the real numbers (1 and (-3) ) and add the complex numbers [ 4i  and (-6i) ]

(1 - 6i) - ( 3 - 4i) = 1 - 6i - 3 + 4i

                        = 1 -3 - 6i + 4i

                        = -2 - 2i

 We have to open the brackets. To do that Multiply (-1) with (-3) & 4i. Now, complex numbers are (-6i) and 4i. So combine them. 6i and 4i have different signs. So, subtract and the result will have bigger number sign. Here the bigger number sign is negative. So,  -6i + 4 i = -2iNow combine real numbers. 1 - 3 = -2

Determine the distance between the points plotted on the graph. Round to the nearest tenth, if necessary.

Answers

Answer:

d= 4[tex]\sqrt{2}[/tex] or 5.66

Step-by-step explanation:

(-2,7) and (2,3)

d = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]

d= [tex]\sqrt{(2-(-2))^{2} + (3-7)^{2} }[/tex]

d = [tex]\sqrt{16 + 16}[/tex]

d= 4[tex]\sqrt{2}[/tex] or 5.66

simplify the expression
5(m+1) -1 =

Answers

We would distribute the 5,
5(m+1) - 1 = 5m + 5 - 1

5m + 4

Answer:

We would distribute the 5,

5(m+1) - 1 = 5m + 5 - 1

5m + 4

Step-by-step explanation:

4. Find the length of a diagonal of a rectangle ABCD with vertices A (-3, 1), B (-1, 3), C (3, -1),
and D (1,-3).

Answers

Answer:

Step-by-step explanation:

I need help with number 35

Answers

Answer:

144

Explanation:

In a regular polygon all angles and sides are equal. to find out to what all the angles add up to you take the number of sides subtract 1 and multiply by 180.

(10-2)*180=1440

1440/10=144

Find the greatest common factor.
7x³a +7x²a²
Enter the correct answer.

Answers

Answer:

7x²a(x + a)

Step-by-step explanation:

7x³a = 7 * x * x * x * a

7x²a² = 7 *x * x * a *a

Common factor = 7x²a

So we have to take the common factor from the two terms

7x³a + 7x²a² = 7x²a ( x + a)

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