Mathematics High School

10, 18, 26, 34, 42, ...

What is the 15th term of this Arithmetic Sequence

Answers

Answer 1

Answer:

a₁₅ = 122

Step-by-step explanation:

Arithmetic sequence formula:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the rate of change.

For your given sequence:

[tex]10, 18, 26,34,42,...[/tex]

a₁ is 10

n is 15 (15th term)

d is 8 (each term increases by 8 over the last)

Plug those 3 variables in, and solve for a₁₅:

[tex]a_n=a_1+(n-1)d\\a_1_5=10+(15-1)8\\a_1_5=10+(14)8\\a_1_5=10+112\\a_1_5=122[/tex]

Related Questions

-8,-8,-6,-2,4,12,22
What. Is the answer

Answers

Answer:

-8-8-6-2= -24, -24+4+12+22=14

If needed,round your answer to the nearest cent.

please help me.​

Answers

Answer:

1.62 per pen

Step-by-step explanation:

Take the total cost and divide by the number of pens

9.69/6

1.615

Round to the nearest cent

1.62 per pen

9 (4x - 6) = 2(-3 - 2x)

Answers

[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]

The second of three numbers is 8 more than the first,
and the third number is 3 less than 3 times the first.
If the third number is 15 more than the second, find
the three numbers.
1st___
2nd___
3rd___

Answers

Answer:

1st =  13

2nd = 21

3rd = 36

Step-by-step explanation:

Let the first number be

f

The second of three numbers is 8 more than the first,

f + 8

third number is 3 less than 3 times the first.

3f - 3

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

the third number is 15 more than the second,

3f - 3 = (f + 8) + 15

3f - 3 = f + 23

Subtract f from both sides

2f - 3 = 23

add 3 to both sides

2f = 26

Divide both sides by 2

f = 13

f + 8 = 13 + 8 = 21

3f - 3 = 3(13) - 3 = 36

Order the numbers from least to greatest.
1,553
1,347
1,644; 1,553; 1,347
b. 1,347; 1,553; 1,644
1,644
a.
C.
1,553; 1,347; 1,644
Please select the best answer from the choices provided
Ο Α
Ο Ο Ο
B

Answers

Answer:

b even though you made this hard to read lol, its b

Step-by-step explanation:

ANSWER ONLY IF U KNOW, OR THINK U KNOW.


(ILL MARK U BRAINLIEST)

Answers

Answer:

I KNOW FOR SURE

Step-by-step explanation:

if that's all the question is then I definitely know the answer ;)

if you forgot to write the rest then hmu haha

A farmer has 24 bushels of apples and can harvest 22 bushels of apples each day?

Answers

Answer:

................ I don"t know sorry I hate you

Determine which postulate can be used to prove the triangles are congruent then identify the valid congruency statement (SELECT TWO ANSWERS)

Options:
A) AAS
B)ASA
C) HL
D) CDE ≅ FDE
E) DEC ≅ EDF
F) ECD ≅ DFE

Answers

Answer:

A) AAS

D) CDE ≅ FDE

Step-by-step explanation:

∠C ≅ ∠F              Given

∠DEC ≅ ∠EDF    Given

DE ≅ DE               Reflexive property

ΔCDE ≅ ΔFDE        AAs congruent

In the figure, lines j and k intersect to form the
angles shown. What is the measurements of angle 1

Answers

It’s also 70 degrees because the angles are vertical. In vertical angles angles across from each other are the same and angles next to each other are 180-(the angle number given) so the angle next to 70 would be equal to 110.

helppppppp pleaseeeee


if somebody can answer this I'll really really appreciate it

Answers

Answer:

What is the question?

Step-by-step explanation:

Question 13 options:
Isaac drops an apple from the top of a lighthouse, 154 feet above the ground.

The equation to represent the height of the apple at a given time is h=−16t2+154,

where h is the height of the apple, and t is the number of seconds after the apple is dropped.

How many seconds (t) will it take for the apple to hit the ground (h = 0)?

[Find the value of t, rounded to the nearest tenth.]

Answers

Answer:

3.1 sec.

Step-by-step explanation:

multiply (2x+3) (-x -2)

Answers

Answer:

[tex]-2x^{2} -7x-6[/tex]

Step-by-step explanation:

(2x + 3) (-x - 2)

distribute first term, to the second term:

2x(-x) + 2x(-2) + 3(-x) + 3(-2)

multiply:

[tex](-2x^{2})[/tex] + (-4x) + (-3x) + (-6)

[tex]-2x^{2} -4x-3x-6[/tex]

combine the like terms:

[tex]-2x^{2}[/tex] - 4x - 3x - 6

             -7x

[tex]-2x^{2}[/tex] - 7x - 6

final answer :

[tex]-2x^{2}[/tex] - 7x - 6

hope this helped !!

mark me brainliest :D

50 POINTS, GET RIGHT FOR BRAINLIEST

What is the prime factorization of 144? (The ^ means exponent)
A) 2 × 6^2
B) 2^2 × 3^4
C) 2^3 × 3^2
D) 2^4 × 3^2

Answers

Answer:

A and D

Step-by-step explanation:

A is 2 times 6 to the 2nd which is just 24 and D is 16 times 9 which is 144 both are prime factors of 144.

What is the slope of the line

Answers

Answer:

2/3

Step-by-step explanation:

rise over run is 2 over 3, and it is positive because the y increases as the x increases!

will give brainliest !!

Answers

Answer:

Triangle A'B'C'

A'B'= 7.81

B'C'= 6

A'C'=5

C) Perimeter= 18.81 Area 15

Triangle ABC

AB=5

BC=4

AC=3

c) Perimeter = 12 Area = 6

Step-by-step explanation:

Triangle ABC work

Perimeter 4+3+√4^2+3^2=12

Area  4*3/2=6

Triangle A'B'C' work

Area 6*5/2=15

Perimeter 6+5+√6^2+5^2=18.81025

Please give brainliest

please someone help. I really need help with this question. I will give brainliest

Answers

Answer:

3/200

Step-by-step explanation:

total medicine = 9/50 liter

evenly divided into 12

so 1 prescription = 9/50  / 12

= 9/50*12

=3/50*4

=3/200

A family on a trip budgets $1,338 for meals and gasoline. If the price of a meal for the family is $90 and if gasoline costs $2.80 per gallon, then how many gallons of gasoline can the family buy if they buy 13 meals

Answers

’creating a system linear equation, the number of possible gallons of gasoline that can be purchased is 60 gallons

Given the Parameters :

Total budget = 1338Meal cost = $90Gasoline cost = $2.80 per gallon Number of meals = 13 Number of gallons of gasoline = g

Hence, we have :

90(13) + 2.80g = 1338

1170 + 2.80g = 1338

2.80g = 1338 - 1170

2.80g = 168

g = 168/2.80

g = 60

Therefore, only 60 gallons of gasoline can be purchased.

Learn more : https://brainly.com/question/18796573

My sweatshirt rhat i want to buy is $36 today the price is 30% off what is the price of the sweatshirt today​

Answers

36x0.3=10.8

Your answer 10.8$

What is the prime factorization of 585?

585=
×
×
×
help pls im not thatgood at math

Answers

Answer:

3^2 * 5 * 13

Step-by-step explanation:

585

= 5 * 117

= 5 * 3 * 39

= 5 * 3 * 3 * 13

= 3^2 * 5 * 13

Answer:

3×3×5×13 that's the answer

You research rowboat rentals at a local lake. The total charge to rent a rowboat for 2 hours is $22 for each boat, plus a fee of f dollars for each passenger, up to 5 passengers.

The day you decide to go to rent a rowboat, you take n friends with you and decide to rent one boat for 2 hours. Your total cost is $34.

Using f, n, and the other information provided, model this situation by completing the equation: __________________________ = $34.

Answers

Answer:

f=2 N=5

Step-by-step explanation:

what equation represents the line that passes through the points (3, -2) and (-1, 10)​

Answers

Answer:

y=-3x-9

Step-by-step explanation:

Let's find the slope of the line

m=-2-10/3--1

m=-12/4=-3

The equation is given as

y-y1=m(x-x1)

y--2=-3(x-3)

y+2=-3x+9-2

y=-3x-7-2

y=-3x-9

Y=-3x-9…,,,,,,,,…………………

If given DG ≅ JK, which congruence postulate or theorem must you use before proving FG ≅ HK?

Answers

Answer:

  the correct answer choice is marked (AAS)

Step-by-step explanation:

All the corresponding angles are marked congruent. If one corresponding side is marked congruent, you can claim AAS or ASA congruence for the triangles: one side and two angles. Of these, AAS is among the answer choices.

You must use AAS to show triangle congruence before claiming FH ≅ HK by CPCTC.

Please answer below :) I will mark the brainiest answer

Answers

Answer:The last option is correct.

Step-by-step explanation:

Find the positive root of x^2+2x-35=0 in math Please.

Answers

Answer:

x2+2x−35=0

Step 1: Factor left side of equation.

(x−5)(x+7)=0

Step 2: Set factors equal to 0.

x−5=0 or x+7=0

x=5 or x=−7

Step-by-step explanation:

We have x^2 + 2x - 35 = 0
<=> x^2 - 5x + 7x - 35 = 0
<=> x(x-5) + 7(x-5)=0
<=> (x+7)(x-5)=0
<=> x+7=0 or x-5=0
<=> x = -7 or x = 5

Ok done. Thank to me :>

y = -7x - 21

What is the slope of this equation and what is the Y intercept.

Answers

Answer:

Slope is -7

Y intercept = -21

Step-by-step explanation:

The equation is Y=mx+b

M is the slope so -7 would equal the slope

B is where your Y- intercept already is so that would equal -21

Simplify this expression: 4(x+3)+3(5-x)

Answers

Answer:

x+27

Step-by-step explanation:

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Hope you find this Useful!

Answer:

x+27

Step-by-step explanation:

Distribute

4(+3)+3(5−)

4+12+3(5−)

Rearrange terms

4x+12+3(5−x)

4+12+3(−+5)

Distribute

4x+12+3(−x+5)

4+12−3+15

Add the numbers

4x+12−3x+15

4+27−3

Combine like terms

4x+27−3x

1+27

Multiply by 1

1x+27

+27

Please help I’ll mark u as brilliant

Answers

Answer:

-2,3

Step-by-step explanation:

So that is the highest point marked on the graph.

solve the following equations
A) 2 (A + 5) = 16
b) 4 p - 2/3 = 7/3
c) 3y/2 + 8 = (-4)
pls pls pls pls pls pls answer steps ​

Answers

Answer:

A. 2(a+5) = 16

2a + 10 = 16

2a = 16-10

2a = 6

2a÷2 = 6÷2

a = 3

B. 4p-2/3 = 7/3

4p = 7/3 + 2/3

4p = 3

4p÷4 = 3÷4

p = 3/4

C. 3y/2 + 8 = -4

3y/2 = -4 - 8

3y/2 = -12

[ 3y/2 = -12 ] 2

3y = -24

3y ÷ 3 = -24 ÷ 3

y = -8

[tex] \: \: \: \: \: [/tex]

A.) a = 3

B.) p = ¾

C.) y = -8

hope it helps

refer to the attachment

[tex] \: \: \: \: \: \: \: \: [/tex]

3 less than the quotient of a number and 5 is -7

Answers

Answer:   The number is -20

Step-by-step explanation:

Take each part of the sentence and write what it is telling us:

3 less than the quotient of a number and 5 is -7

The quotient of a number and 5 is (X/5), where X is the "number."

3 less than  is (X/5) - 3

is -7  is = -7

Therefore:

3 less than the quotient of a number and 5 is -7 is:  (X/5) - 3 = -7

---

(X/5) - 3 = -7

(X/5)  = -4

X = -20

===

See if this works:

3 less than the quotient of -20 and 5 is -7

(-20/5) = -4

Three kless than -4 is -7:  It works

help algebra 2 look at all the pictures please multiple choice

Answers

Relation given:-

{(-2,5),(-1,3),(0,-1),(1,-3),(2,-5),(3,-7)}

Inverse

{(5,-2),(3,-1),(-1,0),(-3,1),(-5,2),(-7,3)}

#2

f(x)=2x-3

Let it be y

[tex]\\ \tt\hookrightarrow y=2x-3[/tex]

[tex]\\ \tt\hookrightarrow 2x=y+3[/tex]

[tex]\\ \tt\hookrightarrow x=y+3/2[/tex]

Write in terms of x

[tex]\\ \tt\hookrightarrow f^{-1}(x)=\dfrac{x+3}{2}[/tex]

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