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

Factor and write the x-intercepts 6x^2-5x-21 PLEASE HELP I NEED ANSWER

Answers

Answer:

Your answer is in the picture.

Step-by-step explanation:

Visit the website if you want to factor polynomial.

Which of the following figures has a circumference that is closest to 121 inches?
A
a circle with a diameter of 38.5 inches

B
a circle with a diameter of 19.3 inches

C
a circle with a radius of 38.5 inches

D
a circle with a radius of 6.2 inches

Answers

Answer:

B

a circle with a diameter of 19.3 inches

How many square centimeters are in an area of 3.30in

Answers

Answer:

8.382 cm

Step-by-step explanation:

1in = 2.54 cm

3.30 x 2.54 = 8.382 cm

a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m

PLS RESPOND I WILL GIVE BRAINLIEST

Answers

Answer & step-by-step explanation:

See the image attached below:

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -6/5x - 2

Step-by-step explanation:

The line intercepts the y-axis 2 below 0, and down 6 for every 5 to the right on the x-axis

to get the equation of any straight line, we simply need two points off of it, let's use those points in the picture below.

[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-5)}}}\implies \cfrac{-12}{5+5}\implies \cfrac{-12}{10}\implies -\cfrac{6}{5}[/tex]

[tex]\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}{4}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-5)})\implies y-4=-\cfrac{6}{5}(x+5) \\\\\\ y-4=-\cfrac{6}{5}x-6\implies y=-\cfrac{6}{5}x-2[/tex]

Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 5 x squared minus 3. g (x) = 5 x squared + 3.
a.

both f and g open downward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
b.

both f and g open upward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
c.

both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
d.

both f and g open downward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis

Answers

Answer:

c.

Step-by-step explanation:

The leading coefficient is 5 (positive) so they both open upwards.

f has -3  (below x axis) and g has + 3. (above x-axis)

Find the slope of the line that passes through the following two points. (1,0) and (3,0)

Answers

y = - 0

The line is horizontal.

It’s 0 as it is a horizontal line

HELP PLEASE I NEED HELP .”!

Answers

Answer:

4 × 10^-1

Step-by-step explanation:

ask if you need further explanation

how is 0.5600 written on scientific notation

Answers

Answer:

5.6 x 10^-1

Step-by-step explanation:

give brainliest, please!

hope this helps :)

What is the equation of the line that is perpendicular to -x+y=7 and passes through (-1,-1)?

a.-x+y=2
b.-x-y=2
c.x-y=2
d.-x-y=0
e. x+y=0

Answers

Answer:

[tex]-x - y = 2[/tex].

Step-by-step explanation:

If the slope of a line in a plane is [tex]m[/tex] and the [tex]y[/tex]-intercept of that line is [tex]b[/tex], the slope-intercept equation of that line would be [tex]y = m\, x + b[/tex].

Rearrange the equation of the given line [tex]-x + y = 7[/tex] in the slope-intercept form to find the slope of this line:

[tex]-x + y = 7[/tex].

[tex]x -x + y = x + 7[/tex].

[tex]y = x + 7[/tex].

Notice that in the slope-intercept equation of this given line, the coefficient of [tex]x[/tex] is [tex]1[/tex]. Thus, the slope of the given line would be [tex]m_{1} = 1[/tex].

Two lines in a plane are perpendicular to one another if the product of their slopes is [tex](-1)[/tex]. In other words, if [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of two lines perpendicular to each other, then [tex]m_{1}\, m_{2} = (-1)[/tex].

Since [tex]m_{1} = 1[/tex] for the given line, the slope of the line perpendicular to this given line would be:

[tex]m_{2} = (-1) / m_{1} = (-1) / 1 = -1[/tex].

If the slope of a line in a plane is [tex]m[/tex], and that line goes through the point [tex](x_{0},\, y_{0})[/tex], the equation of that line in point-slope form would be:

[tex]y - y_{0} = m\, (x - x_{0})[/tex].

The slope of the line in question is [tex]m = (-1)[/tex]. It is given that this line goes through the point [tex](-1,\, -1)[/tex], where [tex]x_{0} = (-1)[/tex] and [tex]y_{0} = (-1)[/tex]. Thus, the equation of this line in point-slope form would be:

[tex]y - y_{0} = m\, (x - x_{0})[/tex].

[tex]y - (-1) = (-1)\, (x - (-1))[/tex].

[tex]y + 1 = -(x + 1)[/tex].

Rearrange this equation to match the format of the choices:

[tex]y + 1 = -x - 1[/tex].

[tex]x + y = -2[/tex].

[tex]-x - y = 2[/tex].

Please Answer The Following Question: Write the rational approximation of straight pi correct to two decimal places, where straight pi almost equal to 3.14159265 space

[Note: begin mathsize 12px style straight pi end style is the ratio of a circle's circumference to its diameter.]

Answers

Answer:

Most people know Pi up to 2 decimal places (3.14) because you can always refer to the internet for those extra decimal places anytime you want.

Step-by-step explanation:

It's easy to create rational approximations for π. Every time you write down π to a few decimal places, that's a rational approximation.

Depending on the purpose of a calculation, π can be approximated by using fractions for ease of calculation. The most notable such approximations are 22⁄7 (relative error of about 4·10−4) and 355⁄113 (relative error of about 8·10−8).

Which expression best represents the areas of this square with sides in the photo below?

Answers

Answer: 9x⁴y⁶

Step-by-step explanation:

[tex](3x^{2}y^{3})(3x^{2}y^{3}) = 9x^{4}y^{6}[/tex]

Basically, when multiplied, integers multiply, and exponents add.

The local grocer is charging $17.50 for five pounds of hamburger. Determine total cost of hamburger based on the weight of the hamburger purchased.

Answers

Answer:

3.5

Step-by-step explanation:

17.50 divided by 5 is 3.5 so 1 pound is 3.5

Pa help naman po sa math Salamat po ​

Answers

Answer:  See the table below

========================================================

Explanation:

The first task is to sort the values from largest to smallest.

Doing so gets us this list

57, 51, 48, 46, 45, 44, 43, 41, 40, 39, 39, 38, 37, 36, 36, 35, 35, 34, 33, 32, 31, 29, 29, 28, 24, 21, 19, 18, 13, 8

Next, we look for values that are between 56 and 60. That would be the single value of 57. This means we have 1 tally mark for the first row and the frequency is 1.

After that, we look for values between 51 and 55. That would be the single value of 51. Like the previous row, we'll have a single tally and a frequency of 1.

The 46-50 group will have the values 48 and 46 in it, so we have two tally marks and a frequency of 2 for this row.

This process is continued until all the values are accounted for. Effectively you are sorting the values into the proper bins.

You should end up with the table below. The fourth column is optional. It helps show where all of the values are sorted (to help confirm we have the correct tallies and frequencies).

On the class field trip there will be 150 students
and 10 chaperones What is the unit rate of students
per chaperone?

Answers

Answer:

The answer is 1:15

That means for every 1 chaperone, there is 15 students

make x the subject: y=x+p/x-p


step-by-step explanation please​

Answers

Answer:

x = p + yp / y - 1

Step-by-step explanation:

y = x+p / x-p

y(x-p) = x + p

y(x-p) -x = p

yx - yp - x = p

yx - x = p + yp

x(y - 1) = p + yp

x = p + yp / y - 1

PLEASE HELP!!!!!! IMA DESPRATE!!!!!!Determine whether f(x) = 2x3 − 6 is linear. If so, give the slope and y-intercept.

Answers

The slope of the cubic polynomial and it's y-intercept are respectively; f(1) = -4 and f(0) = -6

What is the slope of the equation?

We are given the equation;

f(x) = 2x³ - 6

Now, because the highest power of x is 3, it means that this is a cubic polynomial and not linear because it has a degree of 3

Thus, let us differentiate to get the slope;

f'(x) = 6x² - 6

At f'(x) = 0; x = 1

Thus, slope is;

f(1) = 2(1)³ - 6

f(1) = -4

y-intercept is f(x) at x = 0. Thus;

f(0) = 2(0³) - 6

f(0) = -6

Read more about slope of equation at; https://brainly.com/question/1884491

#SPJ1

Please help me find the answer to:
12x^5 ÷ 3x^2

Answers

Graph for 12*X^5/ (3*X^2)

What is the volume, in cubic in, of a rectangular prism with a height of 12in, a width of 10in, and a length of 12in?

Answers

Answer:

1440 cubic inches

V = [tex]l[/tex] × [tex]w[/tex] × [tex]h[/tex]

V = 12 × 10 × 12 = 1,440 cubic inches

in need of help! please help!

Answers

Answer:

3 1/4 if im not mistaken ive done the math so im pretty sure im right :)

Step-by-step explanation:

heres what i did:

i added everything that would make 2 3/4 then added the remaining together to get 3 1/4 which the question wanted you to see the reaming bit so 3 1/4 was the remaining sorry if that was confusing

Please help me solve this equation that has surface area in a cylinder question

Answers

Answer:

Where's the picture?

Step-by-step explanation:

Please provide a picture

A large company boasts in their promotional literature that 75% of their employees have college degrees. A simple random sample of 54 employees from this company is taken, and the proportion with a college degree is calculated. If a hypothesis test were to be performed to test the company’s claim, which of the following would represent the appropriate pair of hypotheses?

Answers

The hypotheses that represent the appropriate pair of hypotheses will be H₀: p = 0.75 and Hₐ: p ≠ 0.75. Then the correct option is C.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A large company boasts in their promotional literature that 75% of their employees have college degrees.

A simple random sample of 54 employees from this company is taken, and the proportion with a college degree is calculated.

If a hypothesis test were to be performed to test the company’s claim.

Then the hypotheses represent the appropriate pair of hypotheses will be

H₀: p = 0.75

Hₐ: p ≠ 0.75

Thus, the correct option is C.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

#SPJ1

For one binomial experiment, n1 = 75 binomial trials produced r1 = 30 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced r2 = 50
successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ.

(a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.)

(b)Compute the corresponding sample distribution value. (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)

(c)Find the P-value of the sample test statistic. (Round your answer to four decimal places.)

Answers

The correct answer to your question would be B because it’s computea with the corresponding sample that distributes the value. welcome.

2. Start with the parent function for a square root function. Perform the following translations:

-reflect the graph over the x-axis
-move the graph to the left 2 units
-move the graph down 3 units

1) Sketch the original function and the shifted function on the same graph.

2) Write the equation of the shifted function.

Answers

Answer:

2/23

Step-by-step explanation:

the teacher had 9 pencils. she gave 6 pencils as prizes to the students what fraction of pencils did she have left.

Answers

Answer:

3/9 (or) 1/3 (reduced)

Step-by-step explanation:

1.  Before handing pencils to the students, the teacher had 9 out of 9 (9/9) pencils.

2.  When she gave pencils to the students, she gave them 6 of the 9 pencils (6/9)

3.  Now we do the math:

9/9 - 6/9

= 3/9 (or) 1/3 (reduced)

Therefore, the teacher now has 3/9 or 1/3 of the pencils left.

she has 3/9 or 1/3 left

please help will mark Brainliest!!​

Answers

Answer:

The answer is (-2,0)

Step-by-step explanation:

The rest of them is not a right triangle or just upside down.
Hope this helps! ;-)

3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

Answers

                   [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

            Find the equation of the line passing through (4, 5) and parallel to

                3x-2y=4.

 [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

[tex]\rightarrow[/tex] First, add 2y on both sides:-

                            [tex]\Large\textsf{3x+2y=4}[/tex]

[tex]\rightarrow[/tex] Now, subtract 3x on both sides:-

                  [tex]\Large\textsf{2y=-3x+4}[/tex]

[tex]\rightarrow[/tex] Divide by 2 on both sides

    [tex]\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}[/tex]

[tex]\rule{300}{3}[/tex]

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

[tex]\Large\text{$-\displaystyle\frac{3}{2}$}[/tex]

Now let's write the equation in point-slope form:-

[tex]\hookrightarrow\sf{y-y_1=m(x-x_1)}[/tex]

Replace numbers with letters, as follows:-

[tex]\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}[/tex]

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

[tex]\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}[/tex]

Now, Add 5 on both sides:-

[tex]\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}[/tex]

[tex]\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}[/tex]

Good luck with your studies.

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

Which is the correct rule to use when converting the complex number z = a + bi to polar coordinates?

Answers

The correct rule is the range of eligibility of evocative

A bag of dozen oranges was selling for $3. The manager of the store decided to add some oranges to the bag, but not to change the $3 sticker price on the bag. Now the price of the oranges was actually $2 a dozen. How many oranges were added to the bag

Answers

Answer:

A fruit seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit.

Step-by-step explanation:

what is the expression in simplest form x^2+x-2/x^3-x^2+2x-2

Answers

Answer:

[tex]\frac{-2}{x^{2} } -2[/tex]

Step-by-step explanation:

[tex]x^{2} + \frac{x-2}{x^{3} } -x^{2} +2x-2[/tex]

= [tex]\frac{-2}{x^{2} } -2[/tex]

Answer: see photo#2

Step-by-step explanation:

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