The first 5 terms in a pattern are
shown below.
25 13 27
-6,-4' 2' 4-7
If the pattern continues, which
equatior. could be used to find the nth
term?

The First 5 Terms In A Pattern Areshown Below.25 13 27-6,-4' 2' 4-7If The Pattern Continues, Whichequatior.

Answers

Answer 1

Answer:

Option B. m(n) = –5.75 –¼n

Step-by-step explanation:

The sequence is given below:

–6, –25/4, –13/2, –27/4, –7

Next, we shall determine the common difference.

Common difference (d) = 2nd – First

2nd term = –25/4

First term = –6

d = –25/4 – – 6

d = –25/4 + 6

d = –6.25 + 6

d = –0.25 = –¼

Finally, we shall determine the nth term

Tₙ = a + (n –1)d

First term (a) = –6

Common difference (d) = –¼

Tₙ = a + (n –1)d

Tₙ = –6 + (n –1)–¼

Tₙ = –6 –¼n + ¼

Tₙ = –6 + ¼ –¼n

Tₙ = –6 + 0.25 –¼n

Tₙ = –5.75 –¼n

Thus, the nth term is given by:

m(n) = –5.75 –¼n


Related Questions

From $25 to $35


The percent increase is

Answers

Answer:

40 percent

Step-by-step explanation:

Start by taking the difference of the two values:

35-25 = 10.

the $10 is how much the value increased by.

To get the percent that the $25 increased by, take 10/25 to get .4

This .4 can then be turned into a percentage when you multiply it by 100. = 40 percent.

You can check your answer by finding 40 percent of 25, which is 10.

100 POINTS What is the volume of this cone? Use 3.14 for N

Answers

Answer:

D. 215.5

Step-by-step explanation:

The formula for this equation is V= 3.14 x [tex]6^{2}[/tex] x 5.72 ÷ 3

Plug all of that into your calculator and you should get 215.5296.

From here just round to the nearest tenth and you'll be left with answer D. 215.5

Answer:

68.64pi or 215.64

Step-by-step explanation:

So lets go over the formula for volume of a cone.(note if needed for future problems, this can also be used for pyramid.)

The formula is:

r^2*h*pi*1/3

Or:

[tex]\frac{r^2*h*\pi }{3}[/tex]

We know that the radius is 6.

We also know that 5.72 is height.

Lets plug these in:

[tex]\frac{6^2*5.72*pi}{3}[/tex]

Now square the 6.

[tex]\frac{36*5.72*pi}{3}[/tex]

Now multiply the 36 by 5.72.

[tex]\frac{205.92*pi}{3}[/tex]

Combine the 205.92 and pi.

[tex]\frac{205.92\pi }{3}[/tex]

Finally, divide by the 3.

[tex]68.64pi[/tex]

This is your answer!

Hope this helps! :D

6th GRADE, PLS HELP ME WITH THE IMAGEEEE

Answers

Answer:

y=7x

Step-by-step explanation:

Take two points from the line and plug them into y2-y1/x2-x1. In this case, I chose (6,42) and (7,49). This will make the equation 49-42/7-6. This is equal to 7/1 or 7. Therefore, the equation is equal to y=7x.

If this helps please mark as brainliest

Step-by-step explanation:

6x7=42

7x7=49

8x7=56

9x7=63


What is the shape of y=x3?

Answers

Answer:

cubic

Step-by-step explanation:

y = x³  is a cubic shape  try graphing it

Please help
Kari walked a total of 10 kilometers by making 5 trips to school. How many trips will
Kari have to make in all to walk a total of 16 kilometers? Assume the relationship is
directly proportional.

Answers

Answer:

8

Step-by-step explanation:

10÷2=5

16÷2=8

so then it means it is 8

3x[9-(4+2)divide by 2

Answers

Answer:

4.5 or 9/2 using bodmas ruke

A certain television is advertised as a 36-inch TV (the diagonal length). If the width of the TV is 26 inches, how tall is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

the correct answer is 24.9

Step-by-step explanation:

Answer: 24.9

Step-by-step explanation:

⊙O and ⊙P are given with centers (−2, 7) and (12, −1) and radii of lengths 5 and 12, respectively. Using similarity transformations on ⊙O, prove that ⊙O and ⊙P are similar.

Answers

Answer:

Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P

Step-by-step explanation:

The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)

The radius of [tex]\bigodot[/tex]O, r₁ = 5

The given center of the circle [tex]\bigodot[/tex]P = (12, -1)

The radius of [tex]\bigodot[/tex]P, r₂ = 12

The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;

a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)

b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4

Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4

We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P

∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.

A boat travels 120 miles with the current down the river in less time than it takes to travel 80 miles against the current up the river. The boat makes the entire trip in 12 hours. The speed of the boat, without the current, remains constant at 20 miles per hour what is the speed of the current.

Answers

Answer:

180 miles is answer

cuz it takes 80 miled to travel in 12 hours

Answer:

The speed of the current is 10 mph

Step-by-step explanation:

x= speed of the current

[tex]\frac{80}{20-x} + \frac{120}{20+x} = 12[/tex]

80 (20+x) + 120 (20-x) = 12 (20-x) (20+x)

x=10

7/11 as a decimal roundeded to 3 decimal places

Answers

Answer:

0.6364 is a decimal and 63.64/100 or 63.64% is the percentage for 7/11.

Can someone please help me I will mark u brilliant

Answers

Answer:

According to the histogram, the data points from 15-29 would be 12.

Step-by-step explanation:

No explanation needed.

Answer:

12

Step-by-step explanation:

Add the number of data points that are greater or equal to 15 (4+2+6) = 12.

Find any ten rational numbers between-5/6 and 5/8

Answers

Answer:

-1/12, 1/2, -1/16, 1/16, -1/20, 1/20, -1/2, 1/2, -1/10, 1/10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

10 Fractions

-5/6 = -400/480

5/8 = 300/480

201/480

202/480

203/480

204/480

205/480

206/480

207/480

208/480

209/480

210/480

10 Decimals

5/6 = -0.8333333333

5/8= 0.625

0.226

0.227

0.228

0.229

0.23

0.231

0.232

0.233

0.234

0.235

The Sine Function

The sine regression models is of form y = a sin(bx + c) + d. Why are sine functions such good models for repetitive behavior?

Answers

Answer:

Sine functions show repeated and periodic behavior. They are used to model wave-like behavior. They can be used to make predictions based on the model.

Step-by-step explanation:

I calculated it logically

The Statistical Abstract of the United States reported the percentage of people age 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.12. How large a sample should be taken to estimate the actual proportion of smokers with a margin of error of 0.02

Answers

Answer:

A sample of 1015 should be taken.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

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

Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.12.

This means that [tex]\pi = 0.12[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex]. I used 95% because the confidence level was not given.

How large a sample should be taken to estimate the actual proportion of smokers with a margin of error of 0.02?

This is n for which M = 0.02. So

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

[tex]0.02 = 1.96\sqrt{\frac{0.12*0.88}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96\sqrt{0.12*0.88}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.12*0.88}}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.12*0.88}}{0.02})^2[/tex]

[tex]n = 1014.2[/tex]

Rounding up:

A sample of 1015 should be taken.

PLEASE HELP ASAP LOOK AT PHOTO PLEASE

Answers

Answer:

6: x = 3 and y = 5

7: x = 8 and y = 7

Step-by-step explanation:

In parallelograms opposite sides are congruent

For #6

x + 5 = 2x + 2

step 1 subtract x from each side

2x - x = x

x - x cancels out

now we have 5 = x + 2

step 2 subtract 2 from each side

5 - 2 = 3

2 - 2 cancels out

we're left with x = 3

y + 10 = 2y + 5

step 1 subtract 5 from each side

10 - 5 = 5

5 - 5 cancels out

now we have y + 5 = 2y

step 2 subtract y from each side

y - y cancels out

2y - y = y

we're left with y = 5

For #7

3x - 2 = 2x + 6

step 1 add 2 to each side

-2 + 2 cancels out

6 + 2 = 8

now we have 3x = 2x + 8

step 2 subtract 2x from each side

3x - 2x = x

2x - 2x cancels out

we're left with x = 8

6y - 8 = 4y + 6

step 1 add 8 to each side

-8 + 8 cancels out

6 + 8 = 14

now we have 6y = 4y + 14

step 2 subtract 4y from each side

6y - 4y = 2y

4y - 4y cancels out

now we have 14 = 2y

step 3 divide each side by 2

2y / 2 = y

14 / 2 = 7

we're left with y = 7

Similar Triangles

A triangle has two angles measuring 90° and 50°, calculate the third angle of the triangle.

a. 50°
b. 40°
c. 45°
d. 75°

Please select the best answer from the choices provided

Answers

Answer:

B. 40°

Step-by-step explanation:

I calculated it logically

It is B I hope this helps

100 POINTS!!!!!
What is the strength of the association between the two variables in the scatter plot? Select from the drop-down menu to correctly complete the statement.
weak
strong

Answers

Answer:

weak cuz theres no flow its just scattered everywhere

Step-by-step explanation:

Answer:

(Sorry im late) The answer is weak

Step-by-step explanation:

I think i remember taking the test:)

Find an equation for the inverse of each of the following relations. 1 y=-8x + 3. 

Answers

Answer:

given

y=-8x+3

Interchanging the role of x and y

x=-8y+3

x-3=-8y

y=(3-x)/8

Inverse is y=(3-x)/8 or y=-(x-3)/8

Answers please answer it and correct correct answer will get brainlest and please answer the rate and unit rate ? :))

Answers

Answe a is correct why because a is included increased

I really need help guys!

Answers

I am pretty sure the answer is 36. Correct me if I am wrong

Find the area 2 m 4 m 10 m

Answers

Answer:

30.285 m²

Step-by-step explanation:

C = 2πr

2 · π · 2

≈ 12.57

12.57 ÷ 2 = 6.285

10 - 2 = 8

8 · 4 ÷ 2

32 ÷ 2

16

2 · 4 = 8

6.285 + 8 + 16

30.285

Which expression has the greatest value?

Answers

Answer:

=8⁴√³

8⁴=2¹²

12÷3=4

2⁴=16

16=16²√

=64²√³

64=4³

6÷3=2

4²=16

=16³√

16=4²

6÷2=3

4³=64

so the answer is 16^3/2

WHAT IS THE AREA OF A RECTANGULAR GARDEN MEASURING 14 METRES BY 8.5 METRES

Answers

14 x 8.5 = 119 metres squared
119m is the answer.

14 x 8.5 = 119.

Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180.
In a​ triangle, the measures of the three angles are​ x, x+5​, and x-35. What is the measure of each​ angle?

Answers

Answer:

X=70

Step-by-step explanation:

70 + 75 + 35 =180

x + x+5 + x-35

can I use Brainly on my laptop

Answers

Answer:

Yeah if you want too

Step-by-step explanation:

It depends if its school or personal

I'm using it on my own laptop

Step-by-step explanation:

Patricks family spent 2 hours and 30 minutes driving home they arrived home at 10:00 pm what time did patricks family leave? HELP QUICK TAKING A TEST

Answers

How long did they spend at the place?

But if you need the time the house to the place and back, they started at 5:30 to 7:30 to 10:00

But the answer to your question is: they started at 7:30 pm and arrived home at 10:00 pm

David has $40 in his savings account. Every week, he deposits $3. Perla has $25 in her account. She deposits $6 every week. After how many weeks will David and Perla have the same amount of money?

Answers

Answer:

at 5 weeks

Step-by-step explanation:

y = 3x + 40   (David)

y = 6x + 25  (Perla)

since both equal 'y' we can set the expressions equal and solve for 'x'

3x + 40 = 6x + 25

subtract 3x from each side to get:

40 = 3x + 25

subtract 25 from each side to get:

15 = 3x

15/3 = x

5 = x

288.2 ÷ 11 gallons
[tex]288.2 \div 11 = [/tex]

Answers

Answer:

288.2 ÷ 11 gallons

[tex]288.2 \div 11 = 26.2[/tex]gallons

[tex]\huge\mathbb{\underbrace{\overbrace{ \: \: PROBLEM: \: \: }}}[/tex]

[tex]\huge╭☞[/tex]288.2 ÷ 11 gallons?

[tex]\huge╭☞[/tex]288.2 \div 11?

[tex]\huge\mathbb{A}\bold{nswer:}[/tex]

[tex]\large\bold{6 \: 921.30777 m-³}\\ \bold{gallons}[/tex][tex]\large\bold{26.2}[/tex]

The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)4t. There are 50 bacteria present initially and a biologist wishes to find out how many hours will elapse until there are 10,000 bacteria present. What is the exact value for the number of hours elapsed, t, in the equation 10,000 = 50(10)4t?

Answers

Answer:

t = (log200)/4 hours

Step-by-step explanation:

10,000 = 50(10)^(4t)

Divide both sides by 50

200 = 10^(4t)

Take the log of both sides

log200 = 4t

Divide both sides by 4

(log200)/4 = t

t = (log200)/4    (exact answer)

t ≈ 0.575257498915995 (numeric approximation)

What is the value of z in the equation 2(4z − 5 − 3) = 166 − 46?

15
17
30
32

Answers

Answer:

15

Step-by-step explanation:

4 ×15= 60

60×2= 120

166-46=120

Other Questions
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