Find the first term of a sequence x+1,2x-18,2x-1,if this sequence is an arithmetic progression​

Answers

Answer 1

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37


Related Questions

3(x-1) - 8 = 4(1+x) +5​

Answers

Answer:

x=-20

Step-by-step explanation:

3x-11=4x+9

3x=4x+20

x+20=0

x=-20

I’ve attached my work...
Hope it helps!

1. An investor deposits $1000 in an account that promises an annual interest rate of 5%,
compounded at the end of each year. How much will be in the account after seven years?

Answers

Answer:

$1,407.10

Step-by-step explanation:

1000(1.05)^7 = 1.05^7 ≈ 1.40710 * 1000 = $1,407.10


(a) 5.33 cm
(b) 6.33 cm
(c) 7.33 cm
(d) 8.33 cm





SORRY GUY'S OPTION GLT AA GYE THE PHLE VALE QUES MEI.....SO.....​

Answers

Answer:

es la b 6.33 amigo ;) adios

What was the main purpose of the Declaration of Independence?

Answers

Answer:

The main purpose of America's Declaration of Independence was to explain to foreign nations why the colonies had chosen to separate themselves from Great Britain. The Revolutionary War had already begun, and several major battles had already taken place.

Step-by-step explanation:

Please help. Also please show your work. Y/5 - 2/5

Answers

Answer:

0.2(y-2)

Step-by-step explanation:

factor out 1/5 from the expression

1/5×(y-2)

0.2(y-2)

Which shows a rational number plotted correctly on a number. line

Answers

Answer:

If this is the question you are referring to, then the answer is B, which is already highlighted for your convenience.

Answer:

a

Step-by-step explanation:

easy 25 points!!!!!!!!!

look at the picture provided, find G

Answers

Answer:

There right there u don't see it?

Select each ordered pair that is a solution of −5x+4y>−7.

Answers

The shaded region in the graph represent all possible solution set for [x] and [y].

What are inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.It is used most often to compare two numbers on the number line by their size

Given is the inequality as -

- 5x + 4y > - 7

Refer to the graph attached. The shaded area represents the total set of possible solutions for [x] and [y] respectively.

Therefore, the shaded region in the graph represent all possible solution set for [x] and [y].

To solve more questions on graphing inequalities, visit the link below -

brainly.com/question/29061217

#SPJ5

Madison is saving nickels. She saves 1 nickel the first day, 2 nickels the second day, 3 nickels the third day, and so on for 15 days. At this rate, how much money will she save over the 15 day period

Answers

Answer:

$6

Step-by-step explanation:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

there's 10

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15

1 + 9 = 10

10 + 10 = 20

2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15

2 + 8 = 10

20 + 10 = 30

3, 4, 5, 6, 7, 11, 12, 13, 14, 15

3 + 7 = 10

30 + 10 = 40

4, 5, 6, 11, 12, 13, 14, 15

4 + 6 = 10

40 + 10 = 50

5, 11, 12, 13, 14, 15

5 + 15 = 20

50 + 20 = 70

11, 12, 13, 14

11 + 14 = 25

70 + 25 = 95

12, 13

12 + 13 = 25

95 + 25 = 120

she would 120 nickels which is

120 x 5 = 600 cents or $6

Tatăl Mariei i-a oferit acesteia 2 opțiuni pentru banii de buzunar: 1/4 din €5 sau 1/2 din €5. Care opțiune ar însemna mai mulți bani?

Answers

Answer:

1/2 din 5 €

Step-by-step explanation:

Opțiunea 1

1/4 din 5 €

= 1/4 × 5 €

= 1,25 €

Opțiunea 2

1/2 din 5 €

= 1/2 × 5 €

= 2,5 €

Prin urmare, opțiunea care ar însemna mai mulți bani este 1/2 din 5 €

8. The price of a new gaming PC was increased from $280 to $364. By what
percentage was the price of the gaming PC increased?

Answers

Answer:

i believe it would be about 26 percent

Step-by-step explanation:

SORRY IF ITS WRONG BRO BRO

Solve the following equation by completing the square

x^2+4x-4=0

Answers

Answer:

x = ±2[tex]\sqrt[]{2}[/tex]-2

Step-by-step explanation:

x^2+4x-4=0

x^2+4x=4

x^2+4x+4=4+4

(x+2)^2=8

x = ±2[tex]\sqrt[]{2}[/tex]-2

Find the area-of the shaded region. help i have a test

Answers

Answer:

363/8π yd²

Step-by-step explanation:

The total area of the circle = πr²

the area of the shaded region = 135/360 × πr² = ⅜ πr² = ⅜ π × 11² = 363/8 π ≈ 136.125 yd²

Robert is painting a portrait. He is using a canvas that has a width of 12 inches and a height of 16 inches. Find the location of a focal point on the portrait using the golden ratio

Answers

Answer:

0.56 inches from the vertex of the canvas

Step-by-step explanation:

Golden ratio can be interpreted as

B / A = ( A + B ) / B ----- (  1  )

A = smaller side = 12 inches

B = larger side  = 16 inches

Back to equation 1

16 / 12 = ( 16 + 12 ) / 16

4 / 3 ≠ 7 / 4

The Golden ratio can not be applied because the rule is not obeyed  

The focal point can be determined as :

( longest width / 2 )= 12 / 2 = 6^ 2 = 36 ---- 2

(4* depth) = 16 * 4 = 64 ---- 3

hence the focal point ( 2 / 3 ) = 36 / 64 = 0.56 inches from the vertex of the canvas

Find the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x+5y=5

Answers

Answer:

[tex]5x-4y+4=0[/tex]

Step-by-step explanation:

Given: A point  which is perpendicular to the line .

To find: The equation of the line which passes through [tex](-4, -4)[/tex] and is perpendicular to the line [tex]4x+5y=5[/tex].

Solution:

We have, [tex]4x+5y=5[/tex].

Slope of the line [tex]4x+5y=5[/tex] is [tex]-\frac{4}{5}[/tex].

The line which passes through [tex](-4, -4)[/tex] is perpendicular to the line [tex]4x+5y=5[/tex].

Now, the product of the slopes of two perpendicular lines is [tex]-1[/tex].

Therefore, [tex]m\times-\frac{4}{5}=-1[/tex]

So, its slope is [tex]\frac{5}{4}[/tex].

Now, the equation of the line which passes through [tex](-4, -4)[/tex] and slope [tex]\frac{5}{4}[/tex] is:

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

[tex]\Rightarrow y+4=\frac{5}{4} (x+4)[/tex]

[tex]\Rightarrow 4(y+4)=5(x+4)[/tex]

[tex]\Rightarrow 4y+16=5x+20[/tex]

[tex]\Rightarrow 5x-4y+20-16=0[/tex]

[tex]\Rightarrow 5x-4y+4=0[/tex]

Hence, the equation of the line that contains the point [tex](-4, -4)[/tex] and is perpendicular to the line [tex]4x+5y=5[/tex] is [tex]5x-4y+4=0[/tex].

$800 invested at 5.25% simple interest for 4 yrs.

Answers

Answer:

14 dollars.

Step-by-step explanation:

With annual interest rate, 5.25 interest rate is $14.00

Answer:

$968

Step-by-step explanation:

800 × 0.0525 × 4 = 168 (interest)

168 + 800 = 968 (total)

The mean and the average are the same number

Answers

if ur asking if it’s true, then yes it is

HELP PLEASE AND NO LINKS!!!!!!

The length of a rectangle is twice its width. Given the length of the diagonal is $5\sqrt{5}$, find the area of the rectangle.

Answers

Answer:

Step-by-step explanation:

Width =x

Length = 2*x = 2x

Diagonal = 5√5

Use Pythagorean theorem

Length² + Width² = diagonal²

  (2x)²    + x²        = (5√5)²      

{[tex](5\sqrt{5})^{2}=5\sqrt{5} *5\sqrt{5}=5*5*\sqrt{5*5}=25*5=75[/tex]}

     4x²   + x²        = 75

                      5x² = 75

                        x²  = 75/5

                       x²   = 15

                        x = √15

Width = √15

Length = 2√15

Area of rectangle = length *width

                             = √15 *2√15

                             [tex]= 2* \sqrt{15*15}\\\\= 2*15\\= 30[/tex]

                             = 30 square units

What is the distance between two and thirty six?

Answers

Answer:

-34

Step-by-step explanation:

Write the system of equations
C + V = 40
4C + 6V = 180

Answers

Answer:

c=30

v=10

30+10=40

4*30=120

6*10=60

120+60=180

PLEASE HELP ASAP!! ITS DUE VERY SOON AND THIS IS MY LAST QUESTION. ILL MARK YOU THE BRAINLIEST

Answers

Answer:

can you show it a bit closer?! i cant read it

Step-by-step explanation:

It should be the last answer.
8 x 16 = 128
3 x 8 = 24 / 2=12. But there are two triangles so the area would add up to 24
24 + 128 =152
152x6= 912

What is 34 +(23 +3)-82

Answers

Answer:

-22

Step-by-step explanation:

26-82=-56

-56+34=-22

Answer:

-22

Step-by-step explanation:

34+(23+3)-82

=34+26-82

=34-56

=-22#

find x...............

Answers

Answer:

x=2

Step-by-step explanation:

1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the base angles theorem converse.)

2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)

3. 9x=6x+6 (Add 3 to each side)

4. 3x=6 (Subtract 6x from each side)

5. x=2 (Divide each side by 3)

let me know if i did anything wrong, hope this helps!!

HELP!!! A scientist needs 10 litters of 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs

Answers

Answer:10 liter * 20%= x liter*40% + (10- x) liter*5%

10l * 20%= x liter * 35% + 10 liter*5%

x liter *35 = 10l * 20 - 10l *5= 10l*15

x liter = 10l *15/35= 4.28 L= 4.3L

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L- 4.3L= 5.7L

Step-by-step explanation:

In this question, you want to make 10 liters 20% concentration solution by mixing 5% and 40% concentration. There should be multiple answers to this question. Assuming that the total volume of 5% and 40% solution equal to 10L(no solution wasted), then you can determine the volume of solution needed. The formula should be:

What is the midpoint between (-8, 5) and (2, -2)?

(-5, 1.5)
(-6, 3)
(-3, 1.5)
(-5, 3.5)

Answers

The answer to your question is (-3, 1.5)

Answer:

A. (-5, 1.5)

Step-by-step explanation:

True or false please

Answers

It goes completely diagonal so True

Have a good day!

(It also has matching points at the middle if you need more evidence XD)

hiii please help i’ll give brainliest thanks

Answers

Answer:

The answer is 5 beecause coefficients are the number when you multiply a number and a variable. For example 5a the coefficient in that term is 5 if you have 48e the coefficient is 48. So the coefficient is the number when you multiply a number times a variable.

Can anyone please tell me if they did this page and found the answers????

Answers

Answer:

tor ba kita oisa kobic and yyio

Find the volume of a hemisphere : diameter = 20 m
Round to the nearest tenth.. Single choice.

2093.3 cubic meters

4186.66 cubic meters

4186.7 cubic meters

2093.33 cubic meters

Answers

Answer:

40

4186.66

Step-by-step explanation:

A company that manufactures calculators has determined that for every 500 calculators they make, 12 of them are defective. If this company makes 3,000 calculators in a week, how many should they expect to be defective? A.2
B.6
C.18
B.72
E.83​

Answers

Answer: The answer is B

Step-by-step explanation:

You multiply 500, 6 times to get 3,000. Then multiply 12, 6 times. So 12 x 6=72

it should be d. 72. it is 72 because if you divide 500 from 3,000 you get 6. for each 500 calculators 12 are defective, so 12 x 6 = 72
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