The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *​

Answers

Answer 1

Answer:

a₅ = 37

Step-by-step explanation:

The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = 16, then

a₁ + 11d = 16 ← substitute d = - 3

a₁ + 11(- 3) = 16

a₁ - 33 = 16 ( add 33 to both sides )

a₁ = 49 , then

a₅ = 49 + (4 × - 3) = 49 - 12 = 37


Related Questions

Your answer should be a polynomial in standard form. ( d^2 +3) (d^2 +2d +1)

Answers

Answer:d^4+2d^3+4d^2+6d+3

Step-by-step explanation:

can you tell me the answer​

Answers

x would be equal to 1/4

Steve is turning half of his backyard into a chicken pen. His backyard is a 242424 meter by 454545 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

Answers

Answer:

51 meters

Step-by-step explanation:

The shape of the backyard is rectangular having a length, l=45 meters, and a width, w=24 meters as shown in the figure.

As wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. So,

The length of fencing = The length of the diagonal AC or BD

As the length of both the diagonals of a rectangle are equals, AC=BD.

The length of fencing [tex]=\sqrt{l^2+w^2}[/tex] [length of the diagonal]

[tex]=\sqrt{45^2+24^2}=51[/tex] meters

Hence, Steve needs 51 meters of fencing.

Can someone help me please

Answers

Answer:

y = 119

x = 29

Step-by-step explanation:

I cannot figure out how to solve this, we did not cover it in class today and it is on tonights homework.

Answers

Answer:

x = 32.5

y = 65

Step-by-step explanation:

y = 65 degrees

65 and y are the base angles in an isosceles triangle ( single lines)  so they are equal

y+z = 180 since they form a straight line

65+z = 180

z = 180-65

z = 115

The second triangle is also an isosceles triangle so the base angles are the same as shown by x

180 = x+x+z

180 =2x+ 115

65 = 2x

Divide by 2

x = 32.5

-3x+3y=3 and -5x+y=13

Answers

Answer:

y = x + 3

y = 5x + 13

Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis

Answers

Answer:

C.

Step-by-step explanation:

Can someone please Help me. ( picture included)

Answers

Answer:

The height of the flagpole is 20 feet.

Help ASAP
Help ASAP
use completing the square to rewrite quadratic function into the form y=a(x+h)²+k
f (x) =4x²+6x-3 (1 point)​

Answers

Answer:

The second:   [tex]\bold{f (x) =4(x+\frac34)^2-\frac{21}4}[/tex]

Step-by-step explanation:

                            [tex]f (x) =4x^2+6x-3\\\\f (x) =4(x^2+\frac64x]-3\\\\f (x) =4[x^2+2\cdot x\cdot\frac34+(\frac34)^2-(\frac34)^2]-3\\\\f (x) =4[(x+\frac34)^2-(\frac34)^2]-3\\\\f (x) =4(x+\frac34)^2-4(\frac34)^2-3\\\\f (x) =4(x+\frac34)^2-\frac94-\frac{12}4\\\\\underline{f (x) =4(x+\frac34)^2-\frac{21}4}[/tex]

Carlos sold 6 cellphones every hour during the day, but in the morning he already ha $1,250 in the register. What is the expression that represents the total amount of money that he should have in the register in a given hour?

A: $1250
B: 6x
C: 6x + 1250
D: 1250x + 6

Answers

Answer: 6x+1250

Step-by-step explanation:

Amount already in the register = $1250

Number of phones sold every hour = 6

Price of the phone = x

The expression that represents the total amount of money that he should have in the register in a given hour will be:

= $1250 + $6x.

Therefore, option C that is 6x + 1250 is the correct answer.

how do i to find the slope

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Step-by-step explanation:

Answer:

The equation to find slope is y=mx+b. Find two points in the line that are clear. subtract x1 and x2 and y1 and y2. Plug in the x and y values of one into the equation. b is equal to y when x is 0

Step-by-step explanation:

which is the choice to the inequality below?
x/6>7

Answers

Answer:

[tex]x > 42[/tex]

Step-by-step explanation:

[tex]\frac{x}{6} > 7[/tex]

Multiply 6 on both sides. [tex]6(\frac{x}{6}) > 6(7)[/tex].

Simplify it. [tex]x > 42[/tex]

Therefore, the answer is [tex]x > 42[/tex].

Hope this helped! If not, please let me know! <3

WILL MARK BRAINLEST FOR CORRECT ANSWER

STANDARD FORM

4x + 6y = 12

Find the X and Y intercepts
(0, ) ( ,0)

Answers

Answer:

Shouldn't it be (4,0) and (0,6)?

Step-by-step explanation:

NEED TO ANSWER IN NEXT FIVE MINUTES!!!!!! HELP PLEASE!!! WILL MARK BRAINLIEST AND GIVE 20 PTS!!

Answers

Answer:

Given a=35 and ∠β=42°,

b = 31.51414

c = 47.09715

∠α = 48° = 0.83776 rad = 4/15π

h = 23.41957

area = 551.49748

perimeter = 113.61129

inradius = 9.7085

circumradius = 23.54857

Step-by-step explanation:

A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality LaTeX: 12n > 135 + 4.50n12n>135+4.50n12n>135+4.50n represents the situation in which the artist makes a profit.

Answers

Answer:

The artist makes profits when n>8.18

that is when the number of necklaces exeeds 8.18

Step-by-step explanation:

Given

let the number of necklaces be n

booth rent= $135

The cost of materials for the necklaces = $4.5n

the selling price for all the necklaces =$12n

total expenses= booth rent+cost of material = $135+4.5n

profit = selling price -total expenses

12n > 135 + 4.50n

solving for n we have

12n=135 + 4.50n

12n+4.5n=135

16.5n=135

n=135/16.5

n=8.18

The artist makes profits when n>8.18

Which expression is equivalent to 5 (h + 9)?

Answers

Answer:

5(m+9) = 5m+25

Answer:

5(m+9) = 5m+25

Step-by-step explanation:

durrrrrrrrrrrrrrr

Arya deposit $8000 in a 5 year cd at 2% interest compounded daily. What is aryas new balance at the time of maturity

Answers

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

2%.8000=a⋅(5yearcd)= 5ea2yrcd2%=0.02

Answer:

100

Step-by-step explanation:

Find the value of x so that the function has the given value
f(3) = 3x + 2
f(3) = 8
x=

Answers

Answer:

f(3) =3(2)+2

Step-by-step explanation:

Therefore, x = 2

help me plzzzzzzzzzzz

Answers

1. √8, π, 4
2. 5, π+ 2, 17/3,
3. -2, √2 , 1.7
4. 3/2, √5, 2.5
5. √13, 3.7, π + 1
6. √5/2, π - 2, 5/4

Apologies if I got some wrong

Last one lol. Could I have an explanation so I can understand and ty!

Answers

Answer:

(x,y)→(x+7,y)

Step-by-step explanation:

Cuz the point isn't moving up or down so the y is the same and x+7 cuz the point moved 7 units to the right so its position changed in the x-axis.

Im reallyyyy bad at explanations but hope this helped:)

convert 56.6 into radical form​

Answers

I don’t believe this has an answer or can be converted. I’ll try to look at some calculators but I don’t see it being easily converted

ANSWER ASAP PLEASE I WILL GIVE BRAINLIEST TO FIRST ANSWER!!!!

Which one would you choose? Explain your reasoning.
1. A 5-pound jug of honey for $15.35
2. Three 1.5-pound jars of honey for $13.05

Answers

Answer:

Three 1.5-pound jars of honey for $13.05

Step-by-step explanation:

15.35/5 = 3.07

3x1.5=4.5

13.05/4.5 = 2.90

Can somebody Awnser these for me please

Answers

Answer:

The 2nd one is no symmetry the 1st one is (reflection) last one rotational only

Step-by-step explanation:

Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20 on the first item they sell, how much profit will Joe make?

Answers

Joe will make a $8.00 profit

kala needs to make a total of 80 deliveries this week. So far she has completed 28 of them. What percentage of her total deliveries has kala completed?

Answers

Answer:

35 %

Step-by-step explanation:

50 % of 80 is 40 so 28% of 80 is 35%

if you just divide  80 by 28 you will get 35.

Given points (-7,2) and (-2,12), write an equation in slope-intercept form.

Answers

Y= 16+2x
The slope of the line is x = 2
The y intercept is (0,16)

if a2+b2+c2=ab+bc+ca find a+b/b​

Answers

Answer:

Step-by-step explanation:

a² + b² + c² = ab + bc + ca

On multiplying both sides by “2”, it becomes

2 ( a² + b² + c² ) = 2 ( ab + bc + ca)

2a² + 2b² + 2c² = 2ab + 2bc + 2ca

a² + a² + b² + b² + c² + c² – 2ab – 2bc – 2ca = 0

a² + b² – 2ab + b² + c² – 2bc + c² + a² – 2ca = 0

(a² + b² – 2ab) + (b² + c² – 2bc) + (c² + a² – 2ca) = 0

(a – b)² + (b – c)² + (c – a)² = 0

=> Since the sum of square is zero then each term should be zero

⇒ (a –b)² = 0, (b – c)² = 0, (c – a)² = 0

⇒ (a –b) = 0, (b – c) = 0, (c – a) = 0

⇒ a = b, b = c, c = a

∴ a = b = c.

hence

a+b/b​

a+a/a= (since a=b)

2a/a=

a....

Which expression is equivalent to 163?
O 27
O 211
o 212
o 264

Answers

Answer:

C

Step-by-step explanation:

For edge

The exponential equation is given by the expression A = 2¹²

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 16³   be equation (1)

Now , the value of 16 = 2⁴

So , from the laws of exponents , we get

( mᵃ )ᵇ = mᵃᵇ

And , 2⁴⁽³⁾ = 2⁴ˣ³

And , the value of A = 2⁴ˣ³ = 2¹²

Hence , the expression is A = 2¹²

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ7

In a rectangle KLMN, the diagonals KM and LN intersect at O. (i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals. (ii) If ∠NKM = 32°, find ∠KON and ∠KMN. GUYS, IT'S VERY URGENT. I HAVE TO SUBMIT TOMORRIW. PLS ANS. PLS DON'T GIVE WRONG ANSWERS

Answers

Answer:

Step-by-step explanation:

In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON

GIVEN

KO = 4y+6

ON = 3y+11

Equate

4y+6 = 3y+11

Collect like terms

4y-3y = 11-6

y = 5

KO = 4(5)+6

KO = 20+6

KO = 26

Note that KO = OM = LO = ON = 26

Hence ON = 26

For diagonal KM,

KO+OM = KM

KM = 26+26

KM = 52

LN = LO+ON

LN = 26+26

LN = 52

From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°

<KON = 180-(32+32)

<KON = 180-64

<KON = 116°

<ONM = 90-32

<ONM = 58°

∆ONM is also an isosceles triangle,

<ONM = <OMN = 58°

Hence <KMN = 58°

George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen? The screens have the same width. Screen A is wider, because 5.3 is greater than 5 and one-third.. Screen B is wider, because 5.3 is greater than 5 and one-third.. Screen B is wider, because 5 and one-third is greater than 5.3.

Answers

Answer:

The answer is "Screen B is wider , because 5.3 is greater than 5 and one-third".

Step-by-step explanation:

The mobile display unit must be made similar. Phone A uses a decimal device, and telephone B uses a fraction in this case.

It's easier for you to use. Attempt using the decimal. The width of the phone B fraction could then be translated to decimal width. The computing is:

= 5 cm + [tex]\frac{1}{3}[/tex] cm

= 5 cm + 0.333cm

= 5.333 cm

It is evident from here that the wider screen of Phone B is than that of Phone A.

Answer:

They are all the same width

Step-by-step explanation:

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