Find the 13th term of the arithmetic sequence -3x+7, -5x+3, -7x-1, ...

Answers

Answer 1

Answer:

a₁₃ = - 27x - 41

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3x + 7

d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)

                 = - 5x + 3 + 3x - 7

                 = - 2x - 4

Then

a₁₃ = - 3x + 7 + 12(- 2x - 4)

     = - 3x + 7 - 24x - 48

     = - 27x - 41


Related Questions

are given the sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3) A:name the communities A and B B:describe the community A n B​

Answers

Answer:

A n B = {6}

Step-by-step explanation:

Given he sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3)

A = {2, 4, 6, 8}

B = {3, 6, 9, 12, 15...}

A n B includes the numbers are are common to both sets i.e number that we can find in both A and B.

From the set given, we can see that the only number that exists in both set is 6, hence;

A n B = {6}

select the expression that is equivalent to (x-3)^2

Answers

Answer:

x² - 6x + 9

Step-by-step explanation:

(a - b)² =a² - 2ab + b²

a = x and b = 3

(x - 3)² = x² - 2*x*3 + 3²

           = x² - 6x + 9

Answer:

x^2-6x+9

Step-by-step explanation:

Hope this helped!!!

Find the arc length of the shaded arc below

Answers

Answer:

6.123

Step-by-step explanation:

I found it is 6.123

Hilton Head Island is about 12 miles long. Susan has a map that shows the island. If the scale on the map is 1 inch = 1/2 mile, what is the length of the island on Susan's map?

Answers

Answer:

20 inches long

Step-by-step explanation:

if 1inch=1/2 miles

then,1/2×12

___________

1

=1/2×12

=24 inches

help! Which triangle side lengths form a right triangle? Choose all that apply.
O5, 6, 7
6, 8, 14
8, 15, 17
10, 12, 15
15, 20, 25
16, 18, 20

Answers

Answer:

Your answer would be C (8,15,17) and E (15, 20,25)

Step-by-step explanation:

:)

Can someone plz help

Answers

Answer:

47.3

Step-by-step explanation:

A triangles angles add up to 180 degrees

At 42.7 and 90 and you get 132.7

Subtract 132.7 from 180 and you get 47.3 degrees.

Answer:

A. 47.3°

Step-by-step explanation:

The sum of all the angles in a triangle equals 180°, so we need to subtract 42.7° and 90° from 180° to get ∠N.

180° - 90° - 42.7° = 47.3°

∠N = 47.3°

OK YA I NEED HELP PLS

Answers

Answer:

HI

Step-by-step explanation:

hihihihihihihihihihihi

Guys help don't have enough time left. This can really effect everything if this is correct so try your best.

Answers

Answer: 180

Step-by-step explanation:

Answer: 180ft^3

Step-by-step explanation:

19. What is the solution to 5.2x = 31.2? *​

Answers

Answer:

x=6

Step-by-step explanation:

hope this helps

Given the graph and the equation y = 2x2 - 8x + 3. which one has the smaller minimum and by how much?
A)
The graph by 6 units
B)
The graph by 70 units
C)
The equation by 2 units
D)
The equation by 5 units

Answers

Answer:

c

Step-by-step explanation:

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

=8-16+3

=-8+3

=-5

Answer:

c

Step-by-step explanation:

i did the prep

Find the area of the shaded region. Round to the nearest tenth if necessary.
22 cm
15 cm
31 cm

Answers

Answer:

[tex]area = area \: of \: trapezium + area \: of \: semi - circle \\ but \: height = \sqrt{ {15}^{2} - {(31 - 22)}^{2} } = 12 \: cm \\ area = \frac{1}{2} h(a + b) + \frac{1}{2} \pi {r}^{2} \\ = ( \frac{1}{2} \times 12 \times (22 + 31)) + ( \frac{1}{2} \times \frac{22}{7} \times ( \frac{12}{2} ) {}^{2} ) \\ = 318 + 56.57 \\ = 374.6 \: {cm}^{2} [/tex]

please please help please please help please please help please please help please please help









Boris starts to use the standard algorithm to solve 86\times986×986, times, 9. His work is shown below.

\begin{aligned} \overset{\blueD{y}}8\overset{}6&\\ \underline{{} \times \phantom{~~~~} 9}&\\ 4& \end{aligned}

Answers

Answer:

5

Step-by-step explanation:

You have to do 6×9 first and since that is a two digit number (gives 54), you have to bring the 5 up to the top in the place of y and add that to the product of the next two numbers you multiply.

Classify this triangle by its sides and angles.

Answers

Answer:

acute and scalene triangle ig

Answer:

Obtuse and Scalene.

Step-by-step explanation:

We know its scalene because each side is a different length. We also know that its an obtuse triangle by looking at it and understanding that 1 of the angles is larger than 90˚, making it obtuse.

-7,-5 and 2,-8. find the slope between the two points.

Answers

Answer:

m=-8-(-5)/2-(-7)

m=-3/9

Simply to get m=-1/3

Step-by-step explanation:

I will give you BRAINLIEST for the correct answer

Answers

Answer:

a or b

Step-by-step explanation:

if I did the math right it's a but I tried another way and got b, so I'm sorry if that was no help at all

Step-by-step explanation:

If you realise, the quadrilateral is made up of 2 triangles,

therefore the area = 2 x 1/2 x base x height

[tex] = 2 \times \frac{1}{2} \times 12 \times 4 \\ = 12 \times 4 \\ = 48 {units}^{2} [/tex]

Susie has a cylindrical candle mold with a height of 10 inches and a radius of 5 inches. Find the volume of the candle in terms of
7T

Answers

8T is the answer for your question

If the bill for dinner at a restaurant is $65.00, what is the total bill with a 15% tip?​

Answers

Answer:

$74.75 is the total bill.

The answer would be $83.18 in U.S. Dollars.

65. 00 + 15% ($18.18) = $83.18

Evaluate the expression for the given value of each variable.
5a^{2}+ 4b^{3}, when a = 3 and b = 2

Answers

I believe the answer should be 77

8 1/3 x 4/5 HELLLLLLP MEEEEEE

Answers

20/3
Or
6.6 repeating

Answer:

[tex]6\frac{2}{3}[/tex]

Step-by-step explanation:

When one multiplies fractions, one must first ensure that both fractions are in the improper fraction format. This can be done by multiplying the number next to the fraction by the denominator of the fraction then adding the result to the numerator,

[tex]8\frac{1}{3} * \frac{4}{5}\\\\= \frac{24+1}{3} * \frac{4}{5}\\\\= \frac{25}{3}*\frac{4}{5}[/tex]

Now cross simplify, remove factors that the numerator and denominator have in common,

[tex]\frac{5}{3}*\frac{4}{1}[/tex]

Finally, multiply, multiply the numerator of the first fraction with the numerator of the second fraction, and the denominator of the first fraction with the denomaintor of the second fraction.

[tex]\frac{20}{3}[/tex]

Convert the result to a mixed number. This can be done by dividing the numerator by the denominator, write the result to the left of the fraction, and the remainder as the numerator,

[tex]6\frac{2}{3}[/tex]

A cheese wheel has a radius of 4 in. What is the circumference of the wheel? Round your answer to the nearest hundredths.

Answers

Step-by-step explanation:

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

[tex] \frac{11}{7} \times 4[/tex]

[tex] \frac{44}{7} [/tex]

Answer:

12.36

Step-by-step explanation:

use your brain

what does x equal to in this problem

Answers

Using the triangle, we can find the angle lengths and using those and trig ratios, find the side lengths. Lets say the top side length is "y".

Using the Law of triangles, we can find the missing angle from 180-90-70=20 deg.

Then we can use the Law of sines,

sin(70)/13=sin(20)/y

y=sin(20)*13/sin(70)

y=15.34

Finally, we use the Pythagorean Theorem, (13)^2+(15.34)^2=x^2

x = 20.1

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

20.1

----------

A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment. Is there evidence of a decre

Answers

Complete question is;

A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment. Is there evidence of a decrease in the proportion of

tomatoes suffering frost damage for tomatoes sprayed with kelp extract? To determine

this, yo u test the hypotheses H0: p1 = p2, Ha: p1 < p2. The p - value of your test is

A) greater than 0.10.

B) between 0.05 and 0.10.

C) between 0.01 and 0.05.

D)between 0.001 and 0.01.

E) below 0.001.

Answer:

B) between 0.05 and 0.10.

Step-by-step explanation:

We are given;

Number of plants in group that exhibited damage = 12

Number of group 1 plants; n₁ = 50

Number of plants in group 2 that exhibited damage = 18

Number of group 2 plants; n₂ = 50

Proportion of plants in group 1 that exhibited damage; p₁^ = 12/50 = 0.24

Proportion of plants in group 2 that exhibited damage; p₂^ = 18/50 = 0.36

Pooled proportion; p¯ = (12 + 18)/(50 + 50) = 0.3

q¯ = 1 - p¯

q¯ = 1 - 0.3 = 0.7

Z-score will be;

z = ((p₁^ - p₂^) - 0)/√((p¯•q¯)×((1/n₁) + (1/n₂))

Plugging in the relevant values;

z = (0.24 - 0.36)/√((0.3 × 0.7) × ((1/50) + (1/50))

z = -0.12/0.092

z = -1.3

From z-distribution table attached, we have;

p-value = 0.0968

Correct answer is option B.

The number of square units needed to cover a flat surface is the

Answers

Answer:

Area

Step-by-step explanation:

That's the definition of area.

this is the definition of the term “area” :)

If laura bought 2.1 pounds of apples is the price per pound of apples greater than or less than $1? How can you tell?

Answers

Answer:

The price per pound of apples is greater than $1.

Step-by-step explanation:

Three coworkers decided to buy fruit to share at lunchtime. Antonii spent $1.47 on bananas. Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges.   If Laura bought 2.1 pounds of apples, is the price per pound of apples greater than or less than $1? how can you tell?

To find the price of apples per pound, we need to divide the total amount paid by Laura ($2.88) with the total pounds of apples (2.1 pounds) bought.

Price of apples per pound = $2.88/2.1

price of apples per pound= $1.37142857

 

Since the price of apples per pound is $1.37, therefore, the price per pound of apples is greater than $1.

We can simply tell that the price per pound of apples is greater than $1 because 2.88 is greater than 2.1. So when we will divide 2.88 by 2.1, then we will get a number greater than 1.

(hope this helps can i plz have brainlist :D hehe)

The cost of one pound of apple is $1.37.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Laura spent $2.88 on apples.

If Laura bought 2.1 pounds of apples

Cost of 1 pound apple =2.88/2.1

= $1.37

1.37>1

Therefore, the cost of one pound of apple is $1.37.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ5

"Your question is incomplete, probably the complete question/missing part is:"

Three coworkers decided to buy fruit to share at lunch time. Antoni spent $1.47 on bananas. Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges. If Laura bought 2.1 pounds of apples, is the price per pound of apples greater than or less than $1 ? how can you tell?

What is the area of this circle? (use 3.14 for ).
1248.12^2
15393.8^2
5930.12^2
3846.12^2

Answers

70 is the diameter
35 is the radius
area = 3.14(r)^2
3.14(35)^2 = 3846.12^2
last ofpion


Write the following in standard form. Show all work.
5x – (-2+11x)

Answers

YOU CAN, SEE YOU'RE ANSWER IN ATTACHMENTS

ok ok last question which one

Answers

Answer:

answer is x=6 .

Step-by-step explanation:

10+(50×5)=260

10+(50×6)=310

10+(50×7)=360

so 10+300= 310 showing it 310 is greater that or equal to 50×6+10=310

Answer:

<

Step-by-step explanation:

8÷2(2+2) This is 16 not 1

Answers

Step-by-step explanation:

8÷2(2+2) = 8.

2(2 + 2)

= 8.

4 + 4

= 8.

8

= 1

Answer:

using BODMAS

The answer is 1

Step-by-step explanation:

Bracket Order Division Multiplication Addition and Subtraction

Find the surface area of each figure.

Answers

Answer:

1=21yds. 2.=16m 3.=16ft 4.=3cm

Find the 50th term of this arithmetic sequence
6, 13, 20, 27 ...​

Answers

Answer:

349

Step-by-step explanation:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

n = 50   [tex]a_{1}[/tex] = 6    d = 13 - 6 = 7

[tex]a_{50}[/tex] = 6 + (50 - 1)(7)

    = 6 + 49(7)

   =  6 + 343

   = 349

Answer:

formula as mentioned above...

Step-by-step explanation:

N=50,a=6,d=difference between no. that is 8

so,

x50=6+8(50-1)

x50=6+8(49)

x50=6+392=398 Answer

hope it helps....

please write 50 on the correct position of N as drawn in picture

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