12, 17, 22, ...
Find the 36th term.

Answers

Answer 1

Answer:

187

Step-by-step explanation:

a=12,d=17-12=5

nth term =a+(n-1)d

36th term=12+(36-1)5

=12+(35×5)

12+175

36th term=187

Answer 2

The value of 36th term is 187.

What is  arithmetic progression?

An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.

abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.

Given series

12, 17, 22,.....

since the series is in AP because the difference between any two consecutive numbers is equal,

17 - 12 = 5 and 22 - 17 = 5

for nth term of AP

aₙ = a₁ + (n - 1)d

where a₁ = 12, n = 36, d  =5

a₃₆ = 12 + (36 - 1)5

a₃₆ = 12 + 35 × 5

a₃₆ = 12 + 175

a₃₆ =  187

Hence 187 is the 36th term.

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Related Questions

-4-(3) =
3+(-5) =
4+6=
-5-9=
-4+(-9) =​

Answers

Step-by-step explanation:

-4-(3)=-7

step two

3+(-5)=-2

step three

4+6=10

step four

-5-9=-14

step five

-4+(-9)=-13

Answer:

a) -4 - ( 3) = - 7

b) 3 + ( -5) = 3 - 5 = -2

c) 4 + 6 = 10

d) -5 -9 = - 14

e) -4 + ( -9) = -4 -9 = - 13...

Please answer soon
(-2 • -4)^2 = ?

Answers

Answer:

64

Step-by-step explanation:

(-2(-4))^2

8^2

64

hope that helps

Simplest radical form please !!Need answers asap

Answers

Answer:

11) [tex]5\sqrt{7}[/tex] yd

12) [tex]2\sqrt{10}[/tex] cm

13) 9 ft

14) [tex]\sqrt{95}[/tex] cm

15) [tex]5\sqrt{5}[/tex] km

16) [tex]\sqrt{39}[/tex] yd

You have decided to purchase a car for $22,346. 16. The credit union requires a 10% down payment and will finance the balance with a 5. 4% annual interest loan for 36 months. The sales tax in your city is 7. 6%, and the license and title charges are $125. 13. Determine the amount that the credit union will finance you for. Round your answer to the nearest cent. A. $24,179. 10 c. $21,761. 20 b. $24,169. 60 d. $21,752. 64.

Answers

The amount that the credit union will finance is $24169.60

We have given that the cost of the car is $22,346. 16

and the credit union required 10% down payment

and sale tax=7.6%

The license and title charges are $125. 13.

We have to determine that the  amount that the credit union will

finance Now  we have sale tax 7.6% for $22,346. 16

Therefore, we get

[tex]\frac{7.6}{100} \times 22,346. 16=1698.31[/tex]

What is the amount that the credit union finance ?

credit union finance=cost of car+sales tax+the license and title  charges.

[tex]=22346.16+1698.31+12.13\\=24169.60[/tex]

Therefore, the amount that the credit union will finance is $24169.60

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What is the distance between (4, 6) and (4, -1) ?

7 units

5 units

4 units

I don't know​

Answers

The distance between points (4,6) and (4,-1) is 7 units.

Given The coordinates of the end points of line (4,6) and (4,-1).

Distance is the measurement about how far things are present on the surface. It is usually calculated in some units known as km, m, etc.

The distance between two points can be calculated as under:

Distance=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex] where the coordinates are (x1,y1),(x2,y2).

To calculate the distance we need to put the values of coordinates in the formula:

Distance between (4,6) and (4,-1)=[tex]\sqrt{(4-4)^{2} +(-1-6)^{2} }[/tex]

=[tex]\sqrt{(0)^{2}+(-7)^{2} }[/tex]

=[tex]\sqrt{0+49}[/tex]

=[tex]\sqrt{49}[/tex]

=7

Hence the distance between (4,6) and (4,-1) is 7 units.

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Answer:

it would be 7 units :)

Step-by-step explanation: cuz im smart and said so

A parallelogram with a right angle that is not a rectangle.

Answers

Answer:

One is a rhombus.

Step-by-step explanation:

Tom knows that in his school 10 out of every 85 students are left-handed.
There are 391 students in Tom's school.
how many students in Tom's school are left handed?

Answers

Answer:

46 are left handed

Step-by-step explanation:

divide 10 by 85 and you get 0.11764705882352941176470588235294 then multiply that by 391 and you get 46

. SCULPTURE An artist creates two metal sculptures in the shape of regular octagons. A side of the larger sculpture is 3.5 times longer than a side of the smaller octagon. The area of the smaller octagon is 19.28 square inches.
a. What is the area of the larger octagon?
b. The artist is going to pack the sculptures in a cylindrical box to take them to an art show. To the nearest inch, what is the diameter of the smallest box he can use? Explain your reasoning. (Hint: Find the radius of the larger octagon.)

Answers

By using what we know about octagons, we will see that:

a) The area is 244.89 in^2b) The diameter is 18.58 in

What is the area of the larger octagon?

For an octagon of side length S, the area is:

A = 2*(1 + √2)*S^2

In this case, the area of the smaller octagon is:

19.28 in^2 =  2*(1 + √2)*S^2

Solving for S we get:

S = √( 19.28 in^2/(2*(1 + √2))) = 2.03 in

If we apply an enlargement of a factor 3.5, the new side length is:

S' = 3.5*2.03 in = 7.11 in

Then the area of the larger octagon is:

A' = 2*(1 + √2)*(7.11 in)^2 = 244.89 in^2

b) For an octagon of side length S, the radius is:

R = S*√(1 + 1/√2)

Then the radius of the larger octagon is:

R' = (7.11 in)*√(1 + 1/√2) = 9.29 in

Then the diameter of the box must be:

D = 2*R' = 2*9.29 in = 18.58 in

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20 points!!!Solid metal support poles in the form of right
cylinders are made out of metal with a density of 5.2
g/cm². This metal can be purchased for $0.35 per
kilogram. Calculate the cost of a utility pole with a
radius of 19 cm and a height of 620 cm. Round your
answer to the nearest cent. (Note: the diagram is not
drawn to scale)

Answers

Density is mass per unit volume.  The cost of the metals from the calculations performed is $1280.

What is density?

Density is defined as the ratio of the mass of an object to its volume. We have the following information;

Mass of the metal = ?

Density of the metal = 5.2 g/cm3

height of the metal = 620 cm

radius of the metal = 19 cm

Volume of a cylinder = πr^2h = 3.142 * (19)^2 * 620 cm = 703242cm^3

Mass = density * volume = 5.2 g/cm3 * 703242cm^3

= 3657 Kg

If the cost is $0.35 per kilogram, then 3657 Kg costs; 3657 Kg * $0.35

= $1280

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Find the area of the triangle. Enter your answer in the box. 27 mm 12 mm 14 mm sq mm​

Answers

Answer:

84 cm^2

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2 * b*h (b: base, h: height)

1/2 * 14 * 12 = 84 the area is indicated with cm^2 so the answer is 84 cm^2

y = x + 2
5x - 4y = -3
Solving systems by equations

Answers

Answer: x = 5, y = 7

Step-by-step explanation:

First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

Add equations:

y = 7

Then determine x by plugging y back into the first equation y = x + 2:

x = 5

Which expression represents 4 fifths t(negative 10 t)? –8t 46 over 5 46 over 5 –8t2

Answers

Answer:

is this a multiple choice question? if so can you retype it out to show the separate answer choices because im having trouble reading your question.

Step-by-step explanation:

Answer:

–8t^2 or D

Step-by-step explanation:

Took the test and got it right.

someone, please help me out with these two problems, it's trig.

Answers

Answer:

2nd problem

The sum of the angles of the triangle is 180°.

B= 90°

an unknown number is increased by -3. the result is -8
find the unknown number

Answers

Answer:

The unknown number is -5.

Step-by-step explanation:

-3 + -5 = -8

-8 - -3 = -5

-8 - -5 = -3

Fine the area of the circle. Round to the nearest tenth. Use 3.14 for pie.

Answers

Answer:

the answer is 379.9m²

Step-by-step explanation:

half of 22 is ll time 3.14 equals 379.94. to the nearest tenth is 379.9

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

Answers

Step-by-step explanation:

x = "a number"

x/-5 - 18 > 3

Determine the value of y, if x is −8. y=x 2 +4

Answers

Step-by-step explanation:

given: x = -8,

putting value of x in given equation,

y=(-8)2+4

y= -16+4

y=-12

I’m not entirely sure with this question, anyone can please help?

Answers

Step-by-step explanation:

3x + 4 = 72 - x

3x - x = 72 - 4

2x = 68

x = 39

The diagram shows a plan for the rectangular house with an attached porch. The combined area of the house and the porch is 733ft2. What is the value of x? Show your work. The numbers are 59ft, 13ft, 6 ft, 7ft, 9ft is the porch, x ft

Answers

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

How to calculate area?

Combined area = big rectangle + smaller rectangle - triangle

Hence:

733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)

733 = 767 - 13x + 9x - x + 6

x = 8 feet

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

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Identify the solution of the inequality |4x − 2| > 14 and the graph that represents it.

Answers

The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

What is an inequality?

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Given the inequality:

|4x − 2| > 14

Hence:

4x - 2 > 14 or -(4x - 2) > 14

x > 4 or x < -3

The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

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Which transformations are needed to change the parent cosine function to y = 0.35 cosine (8 (x minus startfraction pi over 4 endfraction))? vertical stretch of 0.35, horizontal stretch to a period of 16 pi, phase shift of startfraction pi over 4 endfraction units to the right vertical compression of 0.35, horizontal compression to a period of 4 pi, phase shift of startfraction pi over 4 endfraction units to the left vertical compression of 0.35, horizontal compression to a period of startfraction pi over 4 endfraction, phase shift of startfraction pi over 4 endfraction units to the right vertical stretch of 0.35, horizontal stretch to a period of startfraction pi over 4 endfraction, phase shift of startfraction pi over 4 endfraction units to the right

Answers

The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35horizontal compression of period of [tex]\pi/4[/tex]phase shift of [tex]\pi/4[/tex] to right

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift): Left shift by c units: [tex]y = f(x+c)[/tex]earlier)Right shift by c units: [tex]y = f(x-c)[/tex]output, but c units late)Vertical shift:Up by d units: [tex]y = f(x) + d[/tex]Down by d units: [tex]y = f(x) - d[/tex]Stretching:Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]

We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8

Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35horizontal compression to period of [tex]\pi/4[/tex] (which means period of cosine is shrunk to [tex]\pi/4[/tex] which originally was [tex]2\pi[/tex] )phase shift of [tex]\pi/4[/tex] to right

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Answer: vertical compression of 0.35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right

Step-by-step explanation:

You make commission working at Footlocker. On Saturday you sold

$1,500 worth of merchandise and made $120 in commission. On

Sunday you sold $1,300 worth of merchandise. If you made the same percent commission,how much did you earn on Sunday?


A. $8

B. $86. 66

C. $104

D. $1,039. 99

Answers

Answer:

C. $104

Step-by-step explanation:

First, we need to figure out what percent $120 is of $1500.

120 ÷ 1500 = 0.08 = 8%. So, $120 is 8% of $1500, and this is the percentage that'll be used to calculate Sunday's commission.

0.08 (8%) × 1300 = 104

Thus, you earned $104 on Sunday.

A student’s work to simplify a radical is shown below. Select the statement which best applies to the sample mathematical work.

Answers

Answer: D

Step-by-step explanation:

Please Help! Which of the following methods is not used to prove triangles are congruent?

Answers

Answer:

AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.

Step-by-step explanation:

paul says x/y can result in either positive or negative quotient. is paul correct? explain why or why not.

Answers

Answer:

Dividing by same signs give a positive answer.

Dividing by different signs give a negative answer.

Step-by-step explanation:

Quotient is just a term for the answer given by a division problem.

positive/positive = positive

positive/negative = negative

negative/positive = negative

negative/negative = positive

Your brand new car costs 16000 dollars. If sales tax is 8%, how much will it truly cost
with sales tax?

Answers

Sales tax amount:-

8% of 16000$0.08(16000)8(160)1280$

Price:-

16000+128017280$

Answer:

$17,280

Step-by-step explanation:

Given

Cost of car = $16,000Sales tax = 8%

Solving :

When sales tax is added to the cost, the final cost will be 8% more than 16,000 or 108% of 16,00016,000 x 1.08$17,280 is the actual price of the car with tax

Parisian sewer #1 contains 9 fewer gigantic rats—rats as big as cats, some might say—than parisian sewer #2. parisian sewer #2 contains 5 fewer gigantic rats than parisian sewer #3. if there are 56 gigantic rats in all three sewers combined, how many rats are in sewer #1?

Answers

There are different kinds of math problem. There will be 11 rats in sewer #1.

What are word problem?

The term  word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.

Lets take

sewer #1 = a

sewer #2 = b

sewer #3 = c

Note that   A=B-9

So then you would have:

A=B-9

B=C- 5

A+B+C=56

Then you have to do a substitution so as to find C:

(B- 9) + (C-5) + C = 56

{ (C- 5)-9} + (C-5) + C = 56

3C - 19 = 56

3C = 75

B = C- 5

B = 25 - 5

Therefore, B = 20

A = B - 9

= 25 - 9

=11

Therefore, there are are 11 rats in sewer #1

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A flat-bottomed ice cream waffle cup is shaped like a 72 mm tall cone with a 42 mm diameter opening at the top, but with the bottom 24 mm of the cone replaced by a flat waffle bottom with a 14 mm diameter. to the nearest square millimeter, what area of waffle does the cone have?

a.) 4002
b.)4398
c.)4552
d.)4157

Answers

The area of waffle in the cone is the amount of space covered by the waffle

The cone has 5630 square millimeter of waffle

How to determine the surface area?

The surface area of a cone is calculated using:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

For the complete 72 mm tall cone, we have:

Height (h) = 72 mm

Radius (r) = 42 mm/2 = 21 mm

So, the surface area is:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

A = 3.142 * 21 * (21+[tex]\sqrt{[/tex](72^2 + 21^2))

Evaluate

A = 3.142 * 21 * (21+75)

A = 6334.272

When the cone is cut at the top, we have:

Height (h) = 24 mm

Radius (r) = 14 mm/2 = 7 mm

So, the surface area is:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

A = 3.142 * 7 * (7+[tex]\sqrt{[/tex](24^2 + 7^2))

Evaluate

A = 3.142 * 7 * (7 + 25)

A = 703.808

Calculate the difference (d) between the areas

d = 6334.272 - 2.5*703.808

Evaluate

d = 5630.464

Approximate

d = 5630

Hence, the cone has 5630 square millimeter of waffle

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4. Let f(x) = x2 - 81. Find f'(x). (1 point)
O
+ Vx+81
09x
w
1
x2 -81
81

Answers

Here we are given that ;

[tex]{:\implies \quad \sf f(x)=x^{2}-81}[/tex]

Differentiating both sides w.r.t.x ;

[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2}-81)}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2})-\dfrac{d}{dx}(81)}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=2x^{2-1}-0}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(x)=2x}}}[/tex]

This is the required answer

Which expression is equivalent to (o)(5)?
Of(5) g(5)
Of(5) + g(5)
O5f(5)
05g(5)

Answers

Of(5) g(5) is the correct answer I believe
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