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

Help me with this pls

Answers

A and E, they are basically at the same point around

I need some help on this if possible

Answers

where C is the circumference, d is the diameter and r is the radius.

The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.

If you are given the diameter then use the formula C = πd

If you are given the radius then use the formula C = 2πr

Step-by-step explanation:

Nathan usually drinks 37 ounces of water per day. He read that he should drink 62 ounces of water per day. If he starts drinking 62 ounces, what is the percent increase? Round to the nearest percent.

Answers

Answer:

68%

Step-by-step explanation:

The increase is (62 - 37), or 25, ounces.  Comparing this to the original quantity (37 oz), we divide 25 oz. by 37 oz., obtaining 0.676 (a ratio).  Multiplying this ratio by 100%, we get 68% (to the nearest percent).

Write an equation of the line in slope-intercept form. (0,2) (3,3) ​

Answers

i dont see an image

Step-by-step explanation:

Answer: y = 1/3x +2

Step-by-step explanation:

The slope-intercept form of an equation looks like this:

y=mx+b

The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.

We have the two points you entered, so let's start by getting the slope. (1/3)

Now that we have the slope, we can plug it into our equation: y = 1/3x+b

To get b, our y-intercept, we just need to plug in one of the points you entered and solve. Now that we have both our m and b values, we can plug them in to get our equation: Y= 1/3x+2

Hope it helps.

A robot’s height is 3 meters 40 centimeters. How tall is the robot in millimeters?

Answers

Answer:

3400

Step-by-step explanation:

if you add it all up in cm, which is 340cm then divide by 10 you get 3400.

what is x? plz help :)

Answers

Answer:

13

Step-by-step explanation:

using the Pythagorean theorem  a²+b²=c²

or the two shorter sides square added together equal the longest side squared

5²+12²

5²=25

12²=144

144+25=169

then we just have to take the square root of 169

√169=12

have a great day :D

simplify (2x)^1/3 times (2x)^4/3

Answers

Answer:

2x^5/3

Step-by-step explanation:

Answer:

32x small 5

9         32x small 5 over 9

Step-by-step explanation:

What is the area of a triangle that has a height of 6 ft and a base length of 7 feet?

Answers

Answer: 21ft

Step-by-step explanation:

Answer:

the area of triangle is height ×base

6×7=42

i think this is the answer

Find the value of x! First person to correctly respond gets brainliest!!

Answers

Answer:

180-33 = 147

Step-by-step explanation:

What factor is represented by the yellow shading in the model? [Hint: Include the overlapping area.]

Answers

Answer:

[tex]Fracton = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The fraction of yellow

From the attached image:

[tex]Yellow = 5[/tex]

[tex]Total = 30[/tex]

So, the fraction is:

[tex]Fracton = \frac{Yellow}{Total}[/tex]

[tex]Fracton = \frac{5}{30}[/tex]

Divide by 5/5

[tex]Fracton = \frac{1}{6}[/tex]

Answer: 4/5

Step-by-step explanation:

Karley added 14 bottle caps to her collection. She
now has 54 boule caps. Write and solve an equation to
find the number of bottle caps she originally had.
PLEASE ANSWER !!

Answers

Answer:

54 - 14 = 30

Step-by-step explanation:

When calculating the discriminant if your answer was 16, what does that say about your roots?

Answers

Answer:

Your roots are equal to 16

7/8 ÷ 7/16 = Reduce your answer to the lowest terms.

Answers

I got 2/1= 2
You just divide and reduce

PLEASE !!! HELP D: lord pls

Answers

Answer:

the answer is 4 have a nice day

It might be 4 I think

Rename 5/6 and 14/15 using the least common denominator.

Answers

Answer:

25/30 and 28/30

Step-by-step explanation:

1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:

6 = 2 x 3

15 = 5 x 3

A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.

Thus 30 is the least common denominator.

2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.

So, 5/6 x 5/5 = 25/30

And 14/15 x 2/2 = 28/30

Answer:

25/30 and 28/30

Step-by-step explanation:

answer for the plato mastery test

Rob can mop a warehouse in 10 hours. Maria can mop the same warehouse in 11 hours. Find how long it would take them if they worked together.

Answers

The answer would be 21 good luck hope you get it correct

Answer:

It would take them  [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together

Step-by-step explanation:

Use the algebra work formula, [tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex], where tb is the time together, t1 is the time of one person individually, and t2 is the time of the other person.

Plug in 10 and 11:

[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex]

[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{10}[/tex] + [tex]\frac{1}{11}[/tex]

Find the common denominator, then add the fractions together:

[tex]\frac{1}{tb}[/tex] = [tex]\frac{11}{110}[/tex] + [tex]\frac{10}{110}[/tex]

[tex]\frac{1}{tb}[/tex] = [tex]\frac{21}{110}[/tex]

Cross multiply and solve for tb:

110 = 21tb

5.24 = tb

So, it would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together

A triangle has sides with lengths of 20 centimeters, 48 centimeters, and 54 centimeters. Is the triangle a right triangle?

Answers

48 20 and 54 it going to make it all together it’s just 128

50 points Help Please!!!! Solving angle word problems with complementary and supplementary angles

Will give brainliest and 20 points!!!!!!

Answers

7 meters

Step-by-step explanation:

simplify (2x+1)(x+8) - (x-3)(2x+1) ​

Answers

Answer:

22x+11 is your answer

Step-by-step explanation:

(2x+1)(x+8) - (x-3)(2x+1)

(2x+1)(x+8-x+3)

(2x+1)(11)

=22x+11

A local theater is selling tickets for a play. Student tickets cost $4.50 and adult tickets cost $7.50 each. The theater can hold at most 800 people and would like to make at least $3000.
Write a system of inequalities

Answers

the question was which combination could they make to get at least $3000

any combination they make if they have 800 people they will always have more than $3000

Given that
[tex]2 {}^{x} = 0.125[/tex]
Find x

Answers

Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative

Answer:

x = -3.

Step-by-step explanation:

2^x = 0.125

Taking logs:

x ln 2 = ln 0.125

x = ln 0.125 / ln 2

x = -3

Please help I’m struggling

Answers

ANSWERS:
m=4

m=18

j=38

n=5

hope this helps!

HELP I WILL MARK YOU GOOD

Answers

Answer:

You have a 2/3 chance

Answer:

2/3

Step-by-step explanation:

when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.

so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.

The weights in pounds of five cats are 12, 14, 12, 16, and 16. Find the mean, median, mode, and range of the data set.​

Answers

Jvucupjeghrjtkkffjjrhfb over cztTzvo xis divi. I thrush kB

Answer:

Mean: 14

Median: 14

Mode: 12, 16

Good luck!

10 minutes to answer

Write an expression equivalent to

4 - (-7)


help

Answers

11 because -7 subtracted by 4 add kore to the 7 so think of it this way -7 is a bad guy and 4 is a bad guy to because its a subtraction so if both bad guys combine you get 11 because a negative with negative makes a positive so its 11

You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost of a student ticket. Find the cost of an adult ticket.

Answers

Answer:

$11 and $16

Step-by-step explanation:

let x be the cost of a student ticket then an adult ticket is x + 5 , then

3x + 7(x + 5) = 145 , that is

3x + 7x + 35 = 145

10x + 35 = 145 ( subtract 35 from both sides )

10x = 110 ( divide both sides by 10 )

x = 11

Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16

PLLLZZ HHEELLPPP! QUESTION IS BELOW!

Answers

Answer:

32°

Step-by-step explanation:

The two given angles are complementary, it means they add to 90°

Find x:

2x + 10 + x + 8 = 903x + 18 = 903x = 72x = 24

Find Y:

m∠Y = x + 8 = 24 + 8 = 32°

1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?

Answers

(−0.0081p)(t)=(15000)(2.718282)

Step 1: Divide both sides by -0.0081t.

−0.0081pt

−0.0081t

=

40774.227427

−0.0081t

p=

−40774.227427

0.0081t

Answer:

p=

−40774.227427

0.0081t

What is the x-intercept for (-4,-4), (2,-2)

Answers

i'm pretty sure it's (8,0)

what is the volume of the prism​

Answers

Answer:

600

Step-by-step explanation:

multiply w l h

10 x 5=50

50 x 12=160

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