Find the nth term of the following sequence:

5, 20, 45, 80, 125

Answers

Answer 1

Answer:

So, 5, 20, 45, 80,...5N2

Step-by-step explanation:

Divide the sequence by 5 and the answer becomes very obvious:

EX: 1, 4, 9, 16,...N2

Answer 2
quadratic sequence formula : an^2+bn+c

2nd difference 2a = 10
a = 5

1st difference 3a+b = 15
substitute 5 into a
3(5)+b = 15
b = 0

nth term rule : a + b + c = 5
substitute a and b values into equation
5 + 0 + c = 5
c = 0

nth term : 5n^2

Related Questions

What is Surface area for 5ft, 16ft, and 8ft

Answers

The surface area of the given rectangular prism is:

S = 496 square feet.

How to find the surface area?

For a rectangular prism of length L, width W, and height H is:

S = 2*(L*W + W*H + L*H).

In this particular case, we have:

L = 5ftW = 16ftH = 8ft.

If we replace that in the surface area equation, we will get:

[tex]S = 2*(5ft*16ft + 5ft*8ft + 16ft*8ft) = 496 ft^2[/tex]

The surface area of the rectangular prism is 496 square feet.

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A pyramid has a height of 8 inches and a volume of 120 cubic inches. Determine 2
possibie shapes, with dimensions, for the base.

Answers

Answer:

1.     9 * 5 in.

2.    3 * 15 in.

Step-by-step explanation:

Volume = 1/3 * area of the base * height

120 = 1/3 * A * 8

So A = 120 / (8/3)

= 120 * 3/8

= 45 in^2.

So the dimensions of the base could be 9 * 5 in

or 3 * 15 in.

The possible shapes of the base are a square and a rectangular base.

What is a pyramid?

The volume of a pyramid depends upon the type of pyramid’s base, whether it is a triangle, square or rectangle. A pyramid is a polyhedron figure which has only one base. The base of the pyramid is a poly sided figure.

Given here: A pyramid has a height of 8 inches and a volume of 120 cubic inches. Then we have volume of the pyramid as

120=l×b×8

l×b = 15

Therefore possible dimensions can be 7.5 &7.5 (Square base ) and 5×3 (rectangular base)

Hence, The possible shapes of the base are a square and a rectangular base.

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The answer what is it

Answers

Dawg what is this ??????


An object is fired from a cannon. Its height after t seconds is given by the function
h(t)= 16t² + 128t + 140 feet. How high was the object after 2 seconds?
=
The object was
feet high.

Answers

Answer:

332 feet

Step-by-step explanation:

Height = h(2) = - 16(2^2) + 128t + 140   ( NOTE: I added the minus sign)

                      = 332 feet

The maximum height  is 908 feet.For a parabola, h = ax^2 + bx + c, the vertex at point (h,t), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.

What is more about the problem?

For a parabola, h = ax^2 + bx + c, the vertex at point (h,k), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.

Given the equation h = 16t^2 + 128t + 140, we know a = 16, b = 128, c = 140.

t = -b/2a

t = -(128) / 2(16)

t = -128 / 32

t = 4 seconds

let's plug in t=4 to our equation:

h = 16t^2 + 128t + 140

h = 16*(4)^2 + 128*(4)+ 140

h =  908ft

h = 908 feet

answer is that the maximum height  is 908 feet.

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Use the exchange rate £1 = €1.11 to convert €222 into £.

Answers

the answer is £200, if you divide 222 by 1.11 it gives you 200

the lengths of the side of a triangle are 8,10,12 is the triangle acute, right, or obtuse?

Answers

Answer:

acute triangle

Step-by-step explanation:

because (12)^2 = 144 while [tex]8^{2}[/tex] + [tex]10^{2}[/tex] = 164 which means the sum of it's smaller angles are greater than it's greatest angle so it's an acute triangle

Answer:

take the two smaller sides, call them a and b. call the longest side c.

if a^2 + b2 = c^2 you have a right triangle

if < c^2 it's acute

if > c^2 it's obtuse

in addition, if you can find a,b,c such that

a=b=c it's equilateral

a=b≠c it's isosceles

a≠b≠c it's scalene

plug in your numbers and make your choice.

Step-by-step explanation:

sin³ 0 +cos³0 / sin 0+ cos 0 = 1-sin 0 cos 0

Answers

Answer:

Step-by-step explanation:

SHOW THAT:

sin³ 0 +cos³0 / sin 0+ cos 0 = 1 - sin 0 cos 0

Now, using the identity a^3 + b^3 = (a + b)(a^2 + b^2 - ab):

sin³ 0 +cos³0  =  (sin 0 + cos 0)(sin² 0 +cos²0 - sin0 cos 0)

As sin² 0 +cos²0 = 1 we have:

sin³ 0 +cos³0 = ( sin 0 + cos 0)(1  - sin0 cos 0)

So we can write the left side of the original expression as

( sin 0 + cos 0)(1  - sin0 cos 0) / (sin 0+ cos 0)

=  1  - sin0 cos 0 = Right side

= and we are done!.

K/2 =9
what is the step by step?

Answers

Answer: k=18

Step-by-step explanation:

1) Multiply all terms by the same value to eliminate fraction denominators: 2•k/2=2•9

2) Cancel multiplies terms that are in the denominator: k=2•9

3) Multiply the numbers: k=18

4) Get the solution

A box of cereal has a volume of 144 inches squared. the height of the cereal box is 12 inches, and the depth is 2 inches. what is the width of the cereal box?

Answers

The value of the given cone with a volume of 144 has a width is 6 inches.

We have given that,

A box of cereal has a volume of 144 inches squared.

The height of the cereal box is 12 inches, and the depth is 2 inches.

The volume of cone = 144 inches squared.

height=12 inches

depth=2inches

What is the formula of the cube?

Area of a cube = V = L * W * H

L-length

W-width

H-height

We have to determine the width cereal box.

Plug the given values in the formula

V = L * W * H

144=2×12×width

Width=144/24

Width=6inches

Therefore the value of the width is 6 inches.

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20 ÷ (5x2/5) + 3 help please​

Answers

Answer:

13

Step-by-step explanation:

hey take a deep breath! you got this!

it's really simple if you use the format PEMDAS

P- parentheses

E-exponents

M-Muliplication

D-divison

A-addition

S-subtraction

or mostly used

P

E

M or D

A or S

(depends from which side just start Ex 2-1+8 you wouldn't do the plus first but the subtraction because we're going left to right. If it's 2x8-6+10 then we do multiplication first cause that step comes first, the minus then addition! hope that isn't to confusing!)

ok so our equation is 20÷(5x2/5)+3

whats our first step? remember PEMDAS!

Its Parenthesis! so first we do the equation (5x2/5)

since multiplication and division are in the same "category" we go left to right

so first we do 5x2=10 and then we do 10/5 which is equal to 2!

ok now we add back the rest of our equation!

20÷2+3 since we already solved the Parenthesis

now what come first? division or addition?

its division because.. once again... PEMDAS!!

So now we do 20÷2 which is equal to 10!

now whats left is to add 3!

and 10+3 is equal to .... 13!!!

I know it seems like a lot but you'll get the hang of it! just take it easy and take your time :)

A spherical balloon is inflated so that its volume is increasing at the rate of 2.5 ft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.3 feet?

Answers

Answer:

.9417 ft/min

Step-by-step explanation:

Sphere volume = 4/3 pi r^3

dv/dr = 4/3 pi * 3 r ^2    = 4 pi r^2

dv/dr  * dr/dt =    dv/dt =  4 pi r^2  dr/dt

                          2.5   = 4 pi (1.3/2)^2 dr/dt      (Diameter is 1.3 , radius is 1.3/2)

                                 dr/dt = .4709  ft/min

  THIS answer is how fast the RADIUS is changing

         the DIAMETER is changeing TWICE this:

                2 x .4709 ft/min = .9417 ft / min     =   diameter/dt

 

8. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of compounding periods per​ year, t is​ time, in​ years, and A is account balance.

Answers

Answer:

Step-by-step explanation:

[tex]P = 56,150(1 + \frac{0.095}{4})^{ 4(2.5)[/tex]

≈ $71005

......,.............
[tex]5 \times (3 \times (9 - (4 + 1))) + 20 \div 4 \times 2 [/tex]

Answers

Answer: 70

Following BODMAS:

Brackets → Order → Division → Multiplication → Addition → Subtraction

Given Expression:

⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2

[first simplify following inside the brackets]

⇒ 5 × 12 + 20 ÷ 4 × 2

[then divide following]

⇒ 5 × 12 + 5 × 2

[multiply integers]

⇒ 60 + 10

[add integers]

⇒ 70

Answer:

70

Step-by-step explanation:

Solving by BODMAS :

BracketsOrdersDivisionMultiplicationAddition Subtraction

Given :

⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2

Simplifying the brackets :

⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2

⇒ 5 × (3 × (9 - 5)) + 20 ÷ 4 × 2

⇒ 5 × (3 × 4) + 20 ÷ 4 × 2

⇒ 5 × 12 + 20 ÷ 4 × 2

Dividing :

⇒ 5 × 12 + 20 ÷ 4 × 2

⇒ 5 × 12 + 5 × 2

Multiplying :

⇒ 5 × 12 + 5 × 2

⇒ 60 + 10

Adding :

⇒ 60 + 10

70

Please help this is for my younger sibling 70 points!!!
Part A: What fraction of the flips landed heads up, and what fraction landed tails up?

Heads up: ___________Tails up: _____________

Part B: What is the probability of the coin landing heads up on his next try?

Part C: Why didn’t Steve’s results match the probability of a coin landing heads up?

Answers

Heads is 6/10 and tails is 4/10

if answer needs to be simplified then heads is 3/5 and tails is 2/5

Heads: Fraction= 6/10 simplified=3/5 Percentage= 60% Decimal=0.6

Tails: Fraction= 4/10 simplified=2/5

Percentage=40% Decimal=0.4

brainliest if answer is good

Solve for x and find the length of GH (show work)

Answers

Answer:

A. How are GH and GI related?

They are tangents.

B. Write an equation to solve for x.

GH = GI

C. Let's solve the equation...

GH : 2x

GI : x + 12

2x = x + 122x - x = 12x = 12

D. Now, that we solve for x, let's find the length of GH....

GH = 2x where, x = 12

2(12)24

Therefore, the length of GH is 24.

Sadie earns $11.25 per hour. Do her earnings vary inversely or directly with
her number of hours worked? Determine how many hours she worked in a
week if her earnings were $146.25.

Answers

Division is one of the four fundamental arithmetic operations. The number of hours Sadie worked to earn $146.25 is 13 hours.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given Sadie earns $11.25 per hour. Therefore, it can be concluded that her earnings vary varies directly with the number of hours she worked.

The number of hours she worked to earn $146.25 is,

The Number of hours = ($146.25)/($11.25) = 13 hours

Hence, the number of hours Sadie worked to earn $146.25 is 13 hours.

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8696 is divisible by what numbers?
*choose all that apply*
9
10
4
3
6
2
5
d

Answers

Answer:

4 and 2

Step-by-step explanation:

please mark me as hhhshhàg jb hhhh bcuz

Which is the
slope-intercept form of the equation of the line with a slope
of -4 that passes through the point (-3, 1)?
Oy=-4x-11
Oy - 1 = -4(x + 3)
Oy+1 = 4(x-3)
y = 4x + 11

Answers

Answer:

y = -4x - 11

Step-by-step explanation:

This equation is in slope-intercept form.

y = mx + b

Slope-intercept form is a fill-in-the-blank shortcut to write an equation of a line. The m is the slope right beside the x (b is the y-intercept, but we don't even need that for this question) Only the first and last answers are in the correct format and only the first one has the right slope. You can also check it by putting (-3,1) into the equation. It checks! Graphing is a good check also.

In 2012, the population of all of the people on Earth was approximately seven billion. Write the population in scientific notation.

Answers

Answer:

7 × 10^9 (that 9 is a exponent)

Step-by-step explanation:

At the beach, nardia collected triple the number of seashells that pierre did. together, they collected 52 seashells. which equations represents p, the number of seashells that pierre collected. 3 p p = 52 3 p = 52 52 p = 3 p 52 p = 3

Answers

The equation that represents p, the number of seashells that Pierre collected is 3p + p = 52

Writing a system of equation

From the question, we are to determine the equation which represents p

From the given information,

Nardia collected triple the number of seashells that Pierre did

If Pierre collected p number of seashells

Then,

Nardia collected 3p number of seashells

Also, from the given information,

They collected 52 seashells in total

That is,

3p + p = 52

Hence, the equation that represents p, the number of seashells that Pierre collected is 3p + p = 52.

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A watch which looses a half a minute every hour was set to read the correct time at 0445hr on Monday. Determine in twelve hour system the time the watch will show on Friday at 1845hr the same week.

Answers

Answer:

see below

Step-by-step explanation:

Using a 24 HOUR SYSTEM

The total time from Monday to Friday times given

 =  24 x 4   + (18:45 - 4:45) = 96 + 14  = 110 hours

110 hours  *   30/3600  = .91667  hours lost = 55 minutes lost

 watch will show   18:45   - 55 minute = 17:50    ( 5:50 in 12-hour system)

7.) Find the center and radius of a circle with the equation (x − 4)² + (y − 2)² = 100.

Answers

Answer:

Centre is (4,2) and radius is 10

Step-by-step explanation:

The circle equation is of form,

=> (x - a)² + (y - b)² = r²

where the centre is (a,b) and radius is 'r'.

What is the value of x?

Enter your answer in the box.

x = ?

Answers

Answer:

x = 26

Step-by-step explanation:

Answer:

26 degrees

Step-by-step explanation:

The small square symbol on the upper left of the line represents a 90-degree angle.

90 - 64 = 26 degrees

16
20
Х
Solve for x.

Answers

Answer:

im assuming 24?

Step-by-step explanation:

bc 16 plus four is 20 so i did the same for 20 i like 96 % that this could be wrong

Solve for y when x = 5.
y = 3x + 4

Answers

Answer:

19

Step-by-step explanation:

Plug in

y = 3(5) + 4y = 19

You are planting a vegetable garden on a plot of land that is a sector of a circle, as shown below.
You want fencing along only the curved edge of the garden.
a. Use the figure to find the length of fencing you will need.
15 ft
75°
b. How much area will be available for planting?

Answers

Answer:

(a) 19.63 ft

(b) 147.26 ft^2

Step-by-step explanation:

(a) 75/360 degrees . 2 . pi . 15 = 19.63

(b) 75/360 degrees. pi . 15^2 = 147.26

Answer:

a) 19.63 ft (2 dp)

b) 147.26 ft² (2 dp)

Step-by-step explanation:

To find the length of the curved fence, use the formula for arc length of a circle.

To find the area of the vegetable garden, use the formula for area of a sector of a circle.

Formula

[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]

[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]

Calculation

Given:

[tex]\theta[/tex] = 75°r = 15 ft

[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (15)\left(\dfrac{75^{\circ}}{360^{\circ}}\right)\\ & = 30 \pi \left(\dfrac{5}{24}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf ft\:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{75^{\circ}}{360^{\circ}}\right) \pi (15)^2\\& = \left(\dfrac{5}{24}\right)\pi \cdot 225\\& = \dfrac{375}{8} \pi\\& = 147.26\: \sf ft^2 \:(2\:dp)\end{aligned}[/tex]

A parking garage charges $2.00 for the first hour and $0.80 for each additional hour. Which of the following could be used to find C, the cost in dollars of parking h hours?

Answers

Answer:

C = 2(h - 1) + 0.80

If johnny had 609898 cupcakes and gave 2323 away how much would he have left

Answers

Answer:

607,575 cupcakes

Step-by-step explanation:

Highschool math? haha

609898 - 2323 =

607,575

Select the correct answer.
Which graph shows a function and its inverse?

Answers

Answer:

See below

Step-by-step explanation:

If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line [tex]y=x[/tex], which is a diagonal line passing through the origin at a 45 degree angle.

None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.

Answer:b

Step-by-step explanation:


Which function is described by the value in the table

Answers

Answer:

second one

Step-by-step explanation:

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