Suppose the sequence {an} is arithmetic with a3 = 15, d = -3/2, and an=6
Find n.

Answers

Answer 1

Answer:

The value of n = 9th term

Step-by-step explanation:

Given:

In an arithmetic series

a3 = 15

d = -3/2

an = 6

Find:

The value of n

Computation:

In an arithmetic series

An = a + [n - 1]d

where,

An = last term

a = first term

n = number of term

d = common difference

So,

a3 = a + 2d

15 = a + 2(-3/2)

15 = a - 3

a = 18

An = a + [n - 1]d

6 = 18 + [n - 1][-3/2]

-12 = [n-1][-3/2]

8 = n - 1

The value of n = 9th term


Related Questions

How many bananas are there in B ?

Answers

Your answer would be B 35 bananas

Please help! I need to work out the size of angle x.

Answers

Answer:

50+x=120°{ sum of interior angle of a triangle is equal to the exterior opposite angle of a trianglex=120-50x=70°

hope it helps.

Step-by-step explanation:

50 + x =120

x = 120 -50

x = 70

What,can i do to pass math​

Answers

Answer:

Pay attention in class

WRITE DOWN FORMULAS

contribute in class

Try to memorize formulas

Try your best!

Try writing down problems cause if you understand how to write a problem on what your learning you have a good chance at getting the answer correct Also if you have any questions on the math your doing right now I could maybe try to help best of luck!

3. Two squares were used to form the following figure. What is the area of the shaded region?
A 24 m2
B 64 m2
C132 m2
D 196 m²
PLEASE HURRY

Answers

c


the shades part 14 x14 = 196
but the there a square that is in the middle one so 8x8 =64 i subtract them and get 132

2 A motorist drove 162 miles in 3 hours. At that rate, how many miles would the motorist travel in a half hour? F 81 mi G 324 mi H 27 mi J 54 mi


can someone please help me ?​

Answers

Answer:

i really dont know

Step-by-step explanation:

i really dont know

Answer:

27

Step-by-step explanation:

162 divide by 3 = 54 divided by 2 =27 I think this is the answer

Not sure if this is the answer?

Answers

Answer:

x = 16

Step-by-step explanation:

Based in the tangent-secant theorem, we have the following equation showing the relationship between the secant and the tangent:

(2 + x)*2 = 6²

4 + 2x = 36

Subtract 4 from both sides

2x = 36 - 4

2x = 32

Divide both sides

2x/2 = 32/2

x = 16

Does this limit exist? Show steps

Answers

Answer:

Yes, the limit does exist.

Step-by-step explanation:

By definition, a limit in the form:

[tex]\displaystyle \lim_{x\to a}f(x)[/tex]

Exists if and only if:

[tex]\displaystyle \lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)[/tex]

We are given the limit:

[tex]\displaystyle \lim_{x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]

So, in order to prove that this limit exists, we simply have to show that:

[tex]\displaystyle \lim_{x\to 2^-}\frac{x^2+x-6}{x^2-4}=\displaystyle \lim_{x\to 2^+}\frac{x^2+x-6}{x^2-4}[/tex]

Let's do the left-hand side first. We can factor the function:

[tex]=\displaystyle \lim_{x\to 2^-}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to 2^-}\frac{x+3}{x+2}[/tex]

By direct substitution:

[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]

Now, we can evaluate the right-hand side. Again, factor:

[tex]=\displaystyle \lim_{x\to 2^+}\frac{(x+3)(x-2)}{(x+2)(x-2)}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to 2^+}\frac{x+3}{x+2}[/tex]

And by direct substitution:

[tex]\displaystyle =\frac{(2)+3}{(2)+2}=\frac{5}{4}[/tex]

Since both the left- and right-hand limits equal 5/4, our original limit does indeed exist.

i need to simplify this −x<−29

Answers

Answer:

x > 29

Step-by-step explanation:

Answer:

[tex]x > 29[/tex]

Step-by-step explanation:

Given: −x<−29

To find: Simplified

Solution: Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

The process entails collecting like terms, which implies adding or subtracting terms in an expression.

Multiply both sides by -1 (reverse the inequality)

[tex](-x) (-1) > (-29) (-1)[/tex]

Simplify

[tex]x > 29[/tex]

How much wrapping is needed for a package that is shaped like a cube
16 in. on each edge?

Answers

Answer:

1536 in^2

Step-by-step explanation:

This is basically asking for the surface area so knowing that is a cube all the sides are equal so one side would be 16(16) which is 256 in ^2.  The knowing that there is 6 sides you would multiply it by 6 which is 256(6)= 1536^2


Find the volume. Round to the nearest tenth if necessary.

Answers

Answer:

120

Step-by-step explanation:

Since you have to find volume you have to multiply all the numbers.

So, 4*5*6 = 120

Answer:

120cm2

Step-by-step explanation:

Volume= length times width times the height. So.. 6×5×4= 120cm2 (btw the 2 means squared)

Question 6
5 pts
What is the distance between two points with coordinates at (-3, 15) and (12, -1)?
16.3
18.4
21.9
025

Answers

It’s 21.9 hope this helps

Julisha poured 0.9 liter of water into an
empty flask. She boiled the water for 15
minutes then measured the amount of water
that remained. She found that 80% of the
water remained in the flask. Measured in
liters, how much water evaporated?
PLS I NEED HELP! ASAP.

Answers

Basically in order to do this process you must first access domain and indeed yes.

Answer:

0.18

Rounded

0.2

Step-by-step explanation:

Help me please. I give you 5 star and brainliest

Answers

Answer:

[tex]a \\ \frac{50}{0.25} = 200 \: \frac{km}{ {h}^{2} } \\ b \\ the \: area \: under \: graph = whole \: distance = \\ = 50 \times (2 + 1.5) \times 0.5 + \\ + 50 \times (0.5 + 1) \times 0.5 = 125km \\ c \\ \ \: average \: speed \: = \frac{125}{2} = 62.5 \frac{km}{h} [/tex]

please help me to find this out i really really need help.

The diagram shows a triangular prism ABCDEF with a horizontal base ABEF.

Give your answer correct to 3 significant figures. ​

Answers

Answer:

38.7°

Step-by-step explanation:

Let the angle we're looking for be called x.

Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.

tan(angle)=opposite/adjacent

tan(x)=FD/FA

x=tan⁻¹(12/15)=38.6598082541°≈38.7°

Therefore, the length of the angle be [tex]x=38.65[/tex] degree.

What is the trigonometry?

Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here given that,

Let the length of the angle be [tex]x[/tex].

Consider Δ[tex]ADF[/tex]

which consists of sides [tex]AD, FD[/tex] and [tex]FA[/tex], and which contains the angle [tex]x[/tex].

So,

tan(x)=Perpendicular / Base

i.e.,

[tex]tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65[/tex]

Hence, the length of the angle be [tex]x=38.65[/tex] degree.

To know more about the trigonometry

https://brainly.com/question/27269972

#SPJ2

What is the answer to this problem?

Answers

Answer:

The volume of hemisphere = 2/3 pie r ^3

or, 18 pie = 2/3 pie r ^ 3

or, 27 = r ^ 3

or, r = 3 inches #

hope this helps

All the best!!

Mr. Newcomb brought a coffee for himself for $2.38 and for Ms. Latona for $3.65 at Dunkin Donuts. He paid with a $20 bill. How much change did he get?

Answers

Answer:

$13.97

Step-by-step explanation:

First, find how much the cost was for the two coffees:

2.38 + 3.65

= 6.03

Find how much change he got by subtracting this from 20:

20 - 6.03

= 13.97

So, he got $13.97 in change

Answer:

Solution :-

At first the total money spent by Mr. Newcomb = $ 2.38 + $3.65

=> 6.03

Now

According to the question

Change she get = 20 - 6.03

= 13.97

What is the length of the segment connection the points that have the coordinates (-9, 8) and (2, -5) A √130 B √218 C √290 D √338

Answers

Answer:

Step-by-step explanation:

A company bought 7 machines. Each machine weighs 642.4 pounds. How many pounds do the 7 machines weigh altogether?

Answers

Answer:

4496.8 pounds

multiply 642.4by7

Dr. Kershaw Invests $25,000. She earns 10.0% simple annual interest on her investment. How
much more interest would Dr. Kershaw earn after 2 years if her investment had earned 10.0%
annual interest compounded annually?
A $5,000
B $0
C $5,250
D $250
i

Answers

Answer:

It should be C.

Step-by-step explanation:

I hope this helps

Someone please help me with this math problem? Ty

Answers

Answer:

A=(-1,-1)

B=(0,2)

C=(2,0)

Step-by-step explanation:

Sorry for some reason it says C at the bottom and D in the graph...

But hope this helps :)

The total number of running yards in a football game was less than 100. The inequality x < 100 represents the situation.
Which graph represents the inequality?
95 96 97 98 99 100 101 102 103 104 105
O,
95 96 97 98 99 100 101 102103104105
o
95 96 97 98 99 100101102103104105
95 96 97 98 99 100 101 102103104105

Answers

Answer:

sorry I'm late but it's b I'm on unit test on edge

Answer: it is b

Step-by-step explanation:

A 10 foot ladder is leaning against a house. The base of the ladder is 4 feet from the house. How far does the ladder reach up the house?

Answers

Answer:

9.17 feet

Step-by-step explanation:

Use the Pythogoras theorem, a^2 + b^2 = c^2

you are give c and b ( because one side is slanted, so c) so rearrange to get

c^2-b^2 = a^2

10^2 - 4^2 = 84

square root 84 to get

9.16515

Maria, an experienced shipping clerk, can fill a certain order in 11 hours. Felipe, a new clerk, needs 13 hours to do the
same job. Working together, how long will it take them to fill the order?


Answers

Answer:Maria rate = 1/13 job/hr

-----

Felipe rate = 1/16 job/hr

----

Together rate = 1/x job/h

Step-by-step explanation: rate + rate = Together rate

1/13 + 1/16 = 1/x

----

16x + 13x = 13*16

------

29x = 13*16

x = 7.17 hrs = 7 hr 10 min 12 seconds (time to do the job together)

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

Cheers,

Rubberduck100000.

Don’t know the answer to this question???

Answers

9514 1404 393

Answer:

  (b)  9

Step-by-step explanation:

The product of segment lengths to the near and far intersection with the circle is the same for both secants.

  4(4+5) = 3(3+x) . . . . the above statement with numbers filled in

  36 = 9 +3x . . . . . . . simplify

  12 = 3 +x . . . . . . . . divide by 3

  9 = x . . . . . . . . . . . subtract 3

roberts middle school took 210 students on a school picnic at the picnic 60 students played vollyball what fraction of the students played vollyball at the picnic

Answers

Answer:

I could be wrong but it's 2/7 (i think)

Step-by-step explanation:

I hope this helps :)

What is the domain of the square root function graphed below? On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3). x less-than-or-equal-to negative 1 x greater-than-or-equal-to negative 1 x less-than-or-equal-to 0 x greater-than-or-equal-to 0

Answers

Answer:

Its D

Step-by-step explanation:

Ed2021

Answer

x greater-than-or-equal-to 0

Step-by-step explanation:

yes

PLEASE ASNWER ILL GIVE YOUI BRAINLIEST

Answers

300 and 600 is your answer :)

p^2+2p-63=0
solve by completing the square

Answers

Step-by-step explanation:

p^2+2p=63

p^2+2p+1^2=63+1^2

p^2+2p+1=64

(p+1)^2=64

p+1=8

p=8-1

p=7

Suzanne collected data on the weight of her classmates. She found that the range of the data she collected was 17
Which of the following BEST explains what a range of 17 indicates?
A
The average distance of each point from the mean is 17.
.
B
The distance between the minimum and the maximum is 17.
С
The distance between the lower quartile to the upper quartile is 17.
D
The distance between the mean and the median in a skewed data set is 17

Answers

Answer:

the answer is A.

Step-by-step explanation:

The diagonal BD cuts the quadrilateral
ABCD into a right triangle, ABD, and an
equilateral triangle BCD. The dimensions are
given in inches. How many inches long is
DC?
Hint: Equilateral triangles have three equal
sides

Answers

Answer:

answer is 13 inch.,

Step-by-step explanation:

BCD is  equilateral triangle so all side is equal.

and ABD is right angled  triangle so. use pythagoras  theorem.

BD = 13 inch then DC also 13 inch

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