Find the fifth term of the sequence.

Find The Fifth Term Of The Sequence.

Answers

Answer 1

a) Substituting in n = 2,

[tex]\frac{3(2)^{2}}{2}=6[/tex]

b) Substituting in n = 5,

[tex]\frac{3(5)^{2}}{2}=\frac{75}{2}[/tex]

c) Setting the nth term to be greater than 50,

[tex]\frac{3n^{2}}{2}>50 \\ \\ n^{2} >\frac{100}{3} \\ \\ n>\frac{10}{\sqrt{3}} \\ \\ \lceil n \rceil = 6[/tex]


Related Questions

every angle of a equilateral triangle is_____.​

Answers

Every angle of an equilateral triangle is 60°

Are the ratios 16:8 and 4:2 equivalent?

Answers

Yes
16/4 is 4
8/2 is 4 as well
Making them equivalent

Explain how you can use ratios of the side lengths to find the angle measures of the acute angles in a right triangle.

Answers

Answer:

The answer is below

Step-by-step explanation:

Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.  

Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.

If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:

sinθ = opp. / hyp.v;  cosθ = adj. / hyp. ; tanθ = opp. / adj.

the difference of two numbers is 8. their sum is 17. find the two numbers?

Answers

9514 1404 393

Answer:

4.512.5

Step-by-step explanation:

Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...

  s + (s+8) = 17

  2s = 17 -8 = 9

  s = 9/2 = 4.5

  s+8 = 4.5 +8 = 12.5

The two numbers are 4.5 and 12.5.

_____

Comment on problems of this type

A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...

  two numbers = (sum ± difference)/2

Here, that is ...

  two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)

At you school, 170 students participated in a fundraiser. It was the schools goal to get at least 80% of the students to participate. If there are a total of 290 students in the school, what percentage of students participated in the fundraiser ?

Answers

Answer:

58.62 percent round up if you have to.

Today, everything at a store is on sale. The store offers a 20% discount. B. If the regular price of an item is x dollars, what is the discount price in dollars?
i need answers!!!!!

Answers

Answer:

Step-by-step explanation:

Your answer

Regular price = x

Discount price =0.2x

Price = x- 0.2x = 0.8x $

Mark it as Brainlist. Follow me for more answer.

identify the similar triangles in the diagram, then sketch them so the corresponding sides and angles have the same orientation.

Answers

The triangle KLM and triangle JKM are congruent triangle

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we may determine whether two triangles are congruent.

Given a triangle LKJ

We have to find similar triangles in the diagram so the corresponding sides and angles have the same orientation.

By the figure given we can write following things:

LK/LJ = MK/JK

LK/JK = MK/MJ

So the triangle KLM ≅ triangle JKM ≅ triangle JLK

Hence the triangle KLM and triangle JKM are congruent triangle

Learn more about congruent triangle here:

https://brainly.com/question/1675117

#SPJ10

please help I will give Brainlyest




If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? (2 points)



Group of answer choices

143

314

14 ⋅ 3.

14 ⋅ 14 ⋅ 14

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Question 23 pts
(06.01)

Simplify the expression 43 + 2(3 − 2). (3 points)

Group of answer choices

14

16

66

68

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Question 33 pts
(06.04)

What is the value of 5 + 3x when x = 4? (3 points)

Group of answer choices

12

17

32

86

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Question 410 pts
(06.02)

Match the verbal expression with its algebraic expression. (10 points)

Group of answer choices
x3

[ Choose ]
b ÷ 3

[ Choose ]
3a

[ Choose ]
y − 3

[ Choose ]
z + 3

[ Choose ]

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Question 52 pts
(06.03)

For the expression y + 6 − 3, determine the coefficient for the variable term. (2 points)

Group of answer choices

0

1

3

6

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Question 66 pts
(06.03)

9(5x + 1) ÷ 3y

From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)


p
0 words

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Question 74 pts
(06.04)

4x + 1 over 3 y2

What is the value of the expression above when x = 2 and y = 3? You must show all work and calculations to receive full credit. (4 points)




hellllllp

Answers

Answer:

number one :

volume = LxWxH

as it is a cube all lengths are the same substitute the values in V= 14x14x14

exponent are when you multiply a value by itself for example 2x2 can be written as 2²

in this case , the answer would be option 1.14³

HELP I NEED HELP ASAP

Answers

Answer:

C

Step-by-step explanation:

the first person's grows in a line/ with a slope and the second persons grows with a growth rate (the percent).

Answer:

C

Step-by-step explanation:

and forvthe explination the other person explained pretty well

write the fraction in ascending order.​

Answers

from most to least:

i: 1/2, 1/3, 1/7, 1/10

ii: 2/3, 2/5, 2/9, 2/11

iii: 5/6, 3/4, 2/3, 1/2

iv: 4/5, 3/4, 5/8, 1/2

What is the surface area?

Answers

Answer:

i think its 79

Step-by-step explanation:sorry if im wrong because if i am then i did incorrect math

Answer:

152 yards

Step-by-step explanation:

If you look at the rectangular side, the length is 8, and the width is 5.

The area of this side is 40 yd!

Since this is a 3D shape, there are two of that side.

40 times 2 = 80

Next, the triangle side!

The area of a triangle is base times height divided by 2.

So, this triangle is:

6 times 4 divided by 2 = 12

The area of one triangle side is 12, but there's two!

12 times 2 = 24

Lastly, there's a bottom.  6 times 8 = 48.

Now add them up!

152 yards

Hope this helps!

can earn 5 coins
Which of the following situations are equal to 5? Select all that apply.
A) 25% of 20
B) 10% of 50
C) 10% of 40
D) 50% of 10
E) 50% of 8

Answers

Answer:

B) 10% of 50

Step-by-step explanation:

B) 10% of 50hjxhsujwsdvnidfohiefhiedhefbeefuebfeufbeufrbfrgfeufgeudgegdeudgegdej

correct options arere A,B,D


Yesterday, Jack drove 45 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per
gallon?

Answers

Answer: 36.4mpg

Step-by-step explanation:

45.5 : 1.25 = ? : 1

45.5 ÷ 1.25 = 36.4 mpg

Note- It would mean the world to me if you could mark me brainliest!

I am not a professional, I am simply using prior knowledge! That car also gets excellent gas mileage!

What is UW? For brainliest

Answers

Answer:

UW = 5

Step-by-step explanation:

use the altitude rule and set up a proportion:

4/UW = UW/6.25

cross-multiply:

UW² = 25

UW = [tex]\sqrt{25}[/tex]

UW = 5

12 + x = - 3 ( 4 – x )

Answers

Answer:

  x=12

Step-by-step explanation:

12+x=-12+3x

-2x=-24

x=12

Answer:

x=12

Step-by-step explanation:

12+x=-3(4-x)

12+x=-12+3x

2x=24

x=12

Square root of 9 + square root of 64?

Answers

Answer:

11...................

Answer:

11

Step-by-step explanation:

the sqare root of something is a number x its self ex.

3x3=9 so the sqare root of 9 is 3

and 8x8=64 so the sqare root of 64 is 8

so the simplified equation is 8+3=11

Lucy wasn't allowed to have any pets so she collected stuffed animals instead. She had 36 animals total. 3/12 of them were bears and 4/6 of them were dogs. What fraction of the animals were either dogs or bears?

Answers

You can increase fractions and they will tell you also
3/12 times 3=9/36 bears
4/6 times 6= 24/36dogs
So 33 of the animals were dogs or bears
But to simply add the fractions make the denominator the same by timesing the 4/6 by 2
So 3/12 plus 8/12 is
11/12
So 11/12 is your answer.
Hope this helps good luck brainliest would be appreciated

pls help me!!!!!
Look at triangle ABC.

Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 2, and C at ordered pair 4, 2.
What is the length of side AB of the triangle?
3

5

Square root of 6

Square root of 13

Answers

Answer:

pleasss mark me as brainliest answer the answer is on the pic just tap it

Answer:

6 unit squares

Step-by-step explanation:

count the square inside the shape and beside it

Could you please help me? Thank you!

Answers

Answer:

steak

Step-by-step explanation:

you can touch the steak

you can eat the steak

you can smell the steak

you can hear the steak sizzle

you watch the steak as it cooks

help me out pls (math so imp)

Answers

Step-by-step explanation:

use the formula to calculate area of triangle.

Mark can type 20 words a minute.
How many words can be typed in 7.5 minutes?​

Answers

Answer:  if im correct it should be 9,000 words because you have to multiply 7.5 by 60 because you have to convert it to seconds and then you multiply 20 by 450 ( 7.5 * 60 = 450 ) and then you would have 20 * 450 = 9,000

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

20 x 7.5= 150

3) -4b – 9b + 3b ????????????????????????????

Answers

Answer: =-10b

Step-by-step explanation:

Let's simplify step-by-step.

−4b−9b+3b

=−4b+−9b+3b

Combine Like Terms:

=−4b+−9b+3b

=(−4b+−9b+3b)

=−10b

Answer:

=−10b

Answer:

-10b

Step-by-step explanation:

-4b-9b+3b

-13b+3b

-10b

The base and corresponding height of a parallelogram are 75 cm and 25 cm. If the other base is 50 cm, find out its corresponding height.

Answers

Answer:

Height of the parallelogram = 37.5 cm

Step-by-step explanation:

As given,

Base of a parallelogram = 75 cm

Height of a parallelogram = 25 cm

As,

we know that

Area = Base × Height

        = 75 × 25

        = 1875 cm²

As the parallelogram is same

So, Area = Base × Height

1875 = 50 × Height

⇒ Height = [tex]\frac{1875}{50}[/tex] = 37.5 cm

So, we get

Height of the parallelogram = 37.5 cm

What is the location of point B?



(-2, 9)
(2, -9)
(9, 2)
(9, -2)

Answers

Answer:

option d.

(9,-2)

.........................

Answer:

The location is -2, 9 or another words A

PLS HELPPPPP!!!!!!! The probability that a student plays Animal Crossing is 8%. What is the probability that a student does not play Animal Crossing?

Answers

Answer:

92%

Step-by-step explanation:

100-8=92

Answer:

91%

Step-by-step explanation:

If 8% is 8 out of 100, then the rest would be 91%, out of 100.

help ?? ;;
um i cant find the answer to this question so any answer that makes sense would help !!

Answers

Answer: It's the top left because the line passes through 10 on the y axis.

pls help !!!!!!!!!!!!!!

Answers

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Describe the transformation that took place if f(x)=x? became f (x) = 0.2(x - 5)2 – 2

Answers

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Shifted down 4 units.
Vertical compression

if 2^x=3^y=12^z, show 1/z=1/y+2/x​

Answers

Answer:

2=k^1/x

3=k^1/y

12=k^1/z.......we get...

(atq)------k^1/x=k^1/y=k^1/z

(*a^m=b^m......b=a)

~1/x=1/y=1/z

1/z=1/y+1/x×2

(12=3+2×2)

1/z=1/y+2/x.....proved

what is the answer to 2 (r-4)+5(r+2

Answers

Answer:

7r + 2

Step-by-step explanation:

I hope this helps have a great day

Multiply 2 by (r-4) we will get
2r-8
Then multiply 5 by (r+2)
5t+10
Let’s sum them
(2r+5r)+(10-8)
Which is equal
7r+2
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