I NEED SOME HELP?
Given the arithmetic sequence {-12, -7, -2, 3, ...} what is the 15th term of the sequence?

Group of answer choices

58

33

43

48

63

Answers

Answer 1

Answer:

58

Step-by-step explanation:

We are given the arithmetic sequence:-

-12,-7,-2,3,...

First, find the common difference which we can obtain by:-

[tex] \displaystyle \large{d = a_{n + 1} - a_n}[/tex]

Check:-

-7-(-12) = -7+12 = 5

-2+7 = 5

3+2 = 5

Therefore, our common difference is 5.

General Arithmetic Term

[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]

Since we want to find the 15th term, substitute a1 = -12, n = 15 and d = 5.

[tex] \displaystyle \large{a_{15}= - 12 + (15 - 1)5} \\ \displaystyle \large{a_{15}= - 12 + (14)5} \\ \displaystyle \large{a_{15}= - 12 + 70} \\ \displaystyle \large{a_{15}= 58} \\ [/tex]


Related Questions

pls need an answer




will give briainliest

Answers

the answer is graph a

A square pool has a volume of 1728
cubic feet and a depth of 3 feet. A 4.5
feet high fence will be built around the
pool and the materials used to build the
fence cost $4.50 per square foot. How
much will it cost to build this fence?

Answers

Answer:

Step-by-step explanation:

Area of square = (Length of side)

2

By putting the given values, we have:

1728

=

(length of side)

2

×

8

Solve for length of side,

Length of side of square base of pool =  

1728

8

=

12

 

f

e

e

t

This gives us the dimensions around the pool, which is 18.73ft for each side. Thus, each side will be  

12

×

3.5

 

f

e

e

t

2

of area, which equals  

42

 

f

e

e

t

2

.

You have  

4

sides to enclose the pool multiply this area by four, and you arrive at the square feet surrounding the pool:

42

×

4

=

168

 

f

e

e

t

2

someone help me pleasw

Answers

[tex] \bf \underline{Solution-} \\ [/tex]

[tex] \sf{ \sqrt[3]{ - 216} } \\ [/tex]

[tex] = \sf{ \sqrt[3]{ \bigg( \frac{1}{216} \bigg)} } \\ [/tex]

[tex] = \sf{ \sqrt[3]{ \bigg( \frac{1}{6} \bigg)^{3} } } \\ [/tex]

[tex] \sf{ = \bigg( \frac{1}{6} \bigg) ^{ \cancel3 \times \frac{1}{ \cancel3} } } \\ [/tex]

[tex] \sf = \bigg( \frac{1}{6} \bigg)^{1} \\ [/tex]

[tex] \sf = \frac{1}{6} \: \: \: \: Ans. \\ [/tex]

How do i work out 91=5k+6

Answers

Step-by-step explanation:

91=5k+6

91-6=5k

85=5k

k=85/5

k=17.

hope this helps you, Ro'shanea..!

Write an algebraic expression that represents

“8 minus the quantity b divided by 6.”

Answers

Write the algebraic expression that represents: 8-b/6

I missed days when they were teaching this help pls will mark brainliest ​

Answers

Alternate exterior! they are outside of the parallel lines (exterior) and on different sides of the line cutting down the middle, which is also known as the transversal, which is why it’s alternate.

Anyone, please help I really need to know ?

Answers

I don’t know how to explain but I can work out the correct ans
To find how much is needed for one person
280/4=70
For 10 person:70*10=700

5x+4y=24 plus 2x−7y=56 What is the answer

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve :

[tex]5x + 4y + 2x - 7y = 24 + 56[/tex]

add the like terms :

[tex]7x - 3y = 80[/tex]

CAN SOME ONE PLEASE ANSWER MY NEWEST QUESTION!!!!!!!

Answers

Answer:

Yes ofcourse

Step-by-step explanation:

Why not.....^_^

To practice for a competition, Maggie swam 940 meters in the pool each day for 2 weeks. How many kilometers did Maggie swim in those 2 weeks? 1 m = 0.001 km

Answers

Based on the number of days that Maggie swam and the distance swam everyday, Maggie swam 13.16km

Maggie swam 940 meters each day. She did this for two weeks. The total distance she swam is:

= 940 x 2 x 7 days a week

= 13,160 meters

A meter is 0.001km so 13,160 meters in kilometers would be:

= Number of meters x Conversion factor

= 13,160 x 0.001

= 13.16 km

In conclusion, Maggie swam 13.16 km.

Find out more at https://brainly.com/question/19755826.

plz help me i need help

Answers

Answer:

its sooo far

Step-by-step explanation:

aka i cant read

Which situation BEST represents the equation below?

Answers

d!

john (y) is (2.5) times as big as his brother sam (x)

hope this helps

PLEASE HELP!!

Find the equation of the line that is perpendicular to the line
6x – 4y = 3 and passes through the point (6,-1).

(a) Find the slope of the given line 6x – 4y = 3.

(b) What is the slope of a line that is perpendicular to the above line?

(c) Now, find the equation of the perpendicular line that passes through (6,-1).

Answers

Answer:

a). y = 3/2x - 3/4    b).-2/3       c).y = -2/3x + 3

Step-by-step explanation:

a). 6x – 4y = 3

-4y = -6x + 3

y = 3/2x - 3/4

 - The slope is 3/2.

b). The slope of a perpendicular line would be the opposite: -2/3

c). y = -2/3x + b

-1 = -2/3(6) + b

-1 = -4 + b

3 = b

y = -2/3x + 3

Please help!!!I don’t know this

Answers

Step-by-step explanation:

I guess we are only talking about quadratic functions/equations here.

the world is not unified regarding what is the standard form of a quadratic equation.

but let's assume your teacher means

standard form

f(x) = y = ax² + bx + c

vertex form

f(x) = y = a(x - h)² + k

so, we are using the provided x, y coordinates to get a, b and c.

3.75 = a×0.125² + b×0.125 + c

3 3/4 = a×(1/8)² + b×(1/8) + c

15/4 = a/64 + b/8 + c

15×16/64 = a/64 + 8b/64 + 64c/64

=> 240 = a + 8b + 64c

4 = a×0.25² + b×0.25 + c

4 = a×(1/4)² + b×(1/4) + c

4 = a/16 + b/4 + c

4×16/16 = a/16 + 4b/16 + 16c/16

=> 64 = a + 4b + 16c

3 = a×0.5² + b×0.5 + c

3 = a×(1/2)² + b×(1/2) + c

3 = a/4 + b/2 + c

3×4/4 = a/4 + 2b/4 + 4c/4

=> 12 = a + 2b + 4c

we have now from the third equation

a = 12 - 2b - 4c

we put this into the second equation

64 = (12 - 2b - 4c) + 4b + 16c = 12 + 2b + 12c

32 = 6 + b + 6c

26 = b + 6c

b = 26 - 6c

and therefore

a = 12 - 2(26 - 6c) - 4c = 12 - 52 + 6c - 4c = 2c - 40

this a and b we use now in the first equation

240 = (2c - 40) + 8(26 - 6c) + 64c =

= 2c - 40 + 208 - 48c + 64c = 18c + 168

72 = 18c

c = 4

b = 26 - 6×4 = 26 - 24 = 2

a = 12 - 2×2 - 4×4 = 12 - 4 - 16 = -8

so, the standard form is

f(x) = y = -8x² + 2x + 4

the vertex form

we get this by transforming the standard form.

e.g. by competing the square :

y - 4 = -8x² + 2x = -8(x² - x×1/4)

y - 4 -8×(1/8)² = -8(x² -x×1/4 + (1/8)²)

y - 4 - 8/64 = -8(x - 1/8)²

y - 32/8 - 1/8 = -8(x - 1/8)²

y - 33/8 = -8(x - 1/8)²

y = -8(x - 1/8)² + 33/8

Hikers walk 3 miles east and then 2 miles north and take a water break. They continue
hiking 4 miles east and a final 2 miles south to their destination. What single
transformation took place from their starting position to their final destination? Use
mathematical language and create a graphic to explain your answer. Be sure to use a
straight edge and grid paper for your graphic to represent this problem.

Answers

The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

Hikers walk 3 miles east and then 2 miles north and take a water break. Hence:

(x, y) ⇒ (x + 3, y + 2)

They continue hiking 4 miles east and a final 2 miles south to their destination:

(x, y) ⇒ (x + 3 + 4, y + 2 - 2) ⇒ (x + 7, y)

The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)

Find out more on transformation at: https://brainly.com/question/4289712

#SPJ1

Express the product of (x + 1) and (3/2x+5/3)as a trinomial in simplest
form.

Answers

The product of the given expression (x + 1)(3/2x+5/3) is 3/2x² + 29x/6.

What are mathematical operations?A mathematical "operation" is the process of calculating a value using operands and a math operator.The supplied numbers or operands must follow specific guidelines associated with the math operator's symbol.Arithmetic operators perform the operations of addition, subtraction, multiplication, division, exponentiation, and modulus.

So, (x + 1)(3/2x+5/3):

Now, solve as follows:

(x + 1)(3/2x+5/3)x(3/2x+5/3) + 1(3/2x+5/3)3/2x² + 5/3x + 3/2x + 5/33/2x² + 2(5)x + 3(3)x + 2(5)x/63/2x² + 10x + 9x + 10x/63/2x² + 29x/6

Therefore, the product of the given expression is 3/2x² + 29x/6.

Know more about mathematical operations here:

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#SPJ1

Which postulate or theorem
proves that these two triangles are congruent?
A) HL Congruence Theorem
B) AAS Congruence Theorem
C) SAS Congruence Postulate
D) ASA Congruence Postulate

Answers

Answer:

C

Step-by-step explanation:

What addition statement is shown?

Answers

Answer:

-3 + 5 = 2

Step-by-step explanation:

The value of the arrow on the numer line increased by 5 which resulted in a positive number which is 2.

-3 + 5 = 2 is the shown addition statement

HELP PLS THIS IS IMPORTANT

Answers

I’m pretty sure they are the same distance away from the paleontologist. Both eight units away.

Answer:

0.5 miles

Step-by-step explanation:

P(1,3)   A(6,6)   B(7,1)

PA = √(6-1)²+(6-3)² = √34 = 5.83

PB = √(7-1)² + (1-3)² = √40 = 6.32

PB-PA = 6.32 - 5.83 = 0.49 ≈ 0.5

what is the upper bound and lower bound for 35.7

Answers

Answer:

tried.. sry if it is wrong...

Step-by-step explanation:

some examples for u..

Mark me the Brainliest..PLS

equation a. 100x-10x+270=5670​

Answers

Answer:

60

Step-by-step explanation:

90x + 270= 5670

90x=5670-270

x=5400÷90

x=60

Answer:

x = 60

Step-by-step explanation:

1) 100x - 10x + 270 = 5670

2) 100(60) - 10(60) + 270 = 5670

3) 6000 - 600 + 270 = 5670

4) 5400 + 270 = 5670

5) 5670 = 5670

All I really did was input random numbers for the value of "x", then add 270 at the end of an equation. If that method works for me, it should work for everyone, including you.

Hope this helped buddy!

Solve for x: 3 - (2x - 5) < -4(x + 2) (1 point)
X<-8
O x>-3
X<-3
O
X-8

Answers

Answer:

4

Step-by-step explanation:

Answer:

i think its the first one i hope this helps

Step-by-step explanation:

por alguien me ayuda

Answers

Answer:

answer is a 14 okk 14 is a correct answer

This year, lashonda watched 85 movies. She thought that 34 of them were very good. If the movies she watched, what percentage did she think were very good

Answers

Answer:

40 percentage

Step-by-step explanation:

sana makatulong I'm not sure

what is a bar plot, and what do the vertical lines on a bar plot represent?

Answers

Answer:

If you know what a graph looks like, then it is similar looking if not almost the same. The vertical lines represent what ever your x value is, in example the number of toys you have to how much they cost(ed) your x value would be the number of toys you have.

Step-by-step explanation:

Answer: a bar plot is a type of graph. The vertical lines shows the amount/data.

May contain dates that show how many each day, month, year.

The way most teachers show this is with what people prefer like, favorite color, food, etc...

Step-by-step explanation:

guys pls help me!!!!!!

Answers

The total degree of a straight line is 180 so 114+ X should equal 180
114+ x=180
x=180-114
x = 66

1. Please help me with this problem I will give you the brain thing and extra points
Which equation in standard form has a graph that passes through the point (0, -5) and has a slope of 3/4?
A)3x + 4y = -20
B)3x - 4y = 20
C)4x + 3y = 20
D)4x - 3y = -20

Answers

Answer:

B) 3x - 4y = 20

Step-by-step explanation:

We can eliminate C and D since 4(0) + 3(-5) = -15 (not 20) and 4(0) - 3(-5) = 15 (not -20)

Now we will determine the slopes for A and B to see which one is correct:

A) 3x + 4y = -20 -> 4y = -20 - 3x -> y = -5 - 3/4x -> y=-3/4x - 5 (not right)

B) 3x - 4y = 20 -> -4y = 20 - 3x -> y = -5 + 3/4x -> y = 3/4x - 5 (right)

Therefore, B is correct since the slope is 3/4 and passes through (0,-5)

y is directly proportional to the square of x y=9 x=4 it can be shown that y=6x^2 work out the value of y when x=7

Answers

Answer:

the answer is 294

Step-by-step explanation:

please answer with explanation if nonsense answers I will report so please answer properly​

Answers

Answer:

x = 2

Step-by-step explanation:

We know that

The diagonals of a rectangle are of equal lengthThe diagonals bisect each other

Considering the above we have:

EG = HF = 2JF = 2JH

Substitute the given values and solve for x:

24x - 8 = 2*(8x + 4)24x - 8 = 16x + 824x - 16x = 8 + 88x = 16x = 16/2x = 2

The Sears Tower in Chicago is 1,454 feet tall. It is 204 feet taller than the Empire State Building in New York City. Use the equation e + 204 = 1,454 to find the height of the Empire State Building​

Answers

The Empire State Building is 1,250 feet tall. Because it’s equal to the height of the sears tower (1,454ft) minus 204ft. 1,454-204=1,250
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