Consider the first five terms of the sequence 3, 15, 75, 375, 1875, … If the sequence defines a function, what is a reasonable domain and range of the function?

Answers

Answer 1

Answer:

A reasonable domain is all natural numbers.

Step-by-step explanation:

Notice that the sequence begins with 3, and it's an infinite sequence, that's the meaning of the three points at the end.

So, a reasonable domain to this sequence, as function, it's all real numbers which follows the rule [tex]f(x)=3(5)^{x-1}[/tex]. In other words, the given sequence represents the range of the function, and the domain is defined by the number of terms, where the first term is 3, the second term is 15, and so on.

Therefore, a reasonable domain is all natural numbers.


Related Questions

What is round your answer to the simplest radical from?
I need an example or something i don’t know what that is

Answers

Answer/ Step-by-step explanation:

Simplest Radical Form. ... Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

Please Mark BRAINLIEST! Really need it!

Got this image from one of my assignments:

OK so I need help on this trigonometry problem, I need it by June 3rd HELP ME PLZ!
I asked my teacher and he said it's not a right triangle at all,
You must create a triangular Animal pen that covers 40 square yards however it has to contain a 30-degree angle. Give the lengths of two sides of a triangle that include the angle but has an area of 40 sq yards.

Answers

Answer:

a=16 b =10 or any other combination that gives 160

a = 20 b=8

a = 32 b = 5

Step-by-step explanation:

The area of a triangle using the lengths of two sides and the sine of the included angle is ½ ab sin C  where a and b are sides and C is the angle.

A =40 = 1/2 ab sin 30°

sin 30° = 1/2 so

40 = 1/2*ab*1/2

40 =1/4 ab multiply each side by 4

160 = ab

any combination of sides that gives you 160 will work

Let's check if a=16 b =10

A = 1/2*16*10 sin 30°

A = 1/2*160*1/2

A = 40

The paper cup is 9 cm tall and the circular opening has a radius of 2.5 cm.

What is the minimum amount of paper needed to make the paper cup to the nearest whole cm² assuming no overlap in the paper?

Answers

Answer:

Step-by-step explanation:

Assume that the cup is a cylinder of height 9 cm and radius 2.5 cm.

The side area is A = (circumference)(height), or A = 2πrh, which here is:

A = (3.14)(2)(2.5 cm)(9 cm) = 141.37 cm²

and

The area of the bottom is A = πr², or (here) A = (3.14)(2.5 cm)² = 19.63 cm²

Adding together the area of the sides and the area of the bottom, we get

Total area of cup = 141.37 cm² + 19.63 cm² = 161 cm²

Points X(6, 8), Y(3, 3), and Z(13, –3) form a triangle. What is the area of △XYZ?

Answers

Answer:

34

Step-by-step explanation:

area = bh/2

The area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.

Coordinates of vertices are:

X≡(6,8)

Y≡(3,3)

Z≡(13,-3)

What is the area of a triangle with vertices [tex](x_1,y_1), (x_2,y_2),(x_3,y_3)[/tex]?

The area of a triangle with the above vertices is given by:[tex]\frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

So the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3)

=[tex]\frac{1}{2} [6(3+3)+3(-3-8)+13(8-3)][/tex]

=34 square units.

Hence, the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.

To get more about triangles visit:

https://brainly.com/question/2644832

How many rice balls can Justin make with 700700700 grams of rice?

Answers

Answer:

im pretty sure its 777 hope this helped:)

7
A dozen eggs costs GH¢ 4.80. Find the cost of 16 eggs
A. GH¢ 6.00
B. GHĆ 6.40
GH€ 7.20
GH¢ 8.00​

Answers

Answer:

B.

Step-by-step explanation:

Make a ratio equation:

12 : 4.8 = 16 : x

[tex]\frac{12}{4.8} = \frac{16}{x}[/tex]

Cross multiply:

12x = 76.8

x = 6.4

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

Answers

Answer:

c. (-1, -8)

Step-by-step explanation:

[tex]y = 3x-5\\y = 2x-6\\\\3x - 5 = 2x - 6\\x = -1\\\\[/tex]

Put x in any of the two equations to get y,

y = -8

— 3х + Зу = 9
2x – 7y = - 14

Answers

Answer: A! x=-1 2/5, y= 1 3/5

Step-by-step explanation:

First put -3x+3y=9 into slope-intercept form(y=mx+b)

3y=-3x+9

then solve for y

y=-1x+3

enter your y-intercept into the equation below..

2x-7(-1x+3)=-14

2x+7x-21=-14

2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)

2x-7x=7

-5x=7 divide -5 into 7

7/5

x=-1 and 2/5

then input x back into the first equation

-3(7/-5)+3y=9

21/5+3y=9

3y=9-21/5

3y=24/5

divide 3 into 24/5

=24/15=1 and 9/15 reduce it anddd

y=1 and 3/5

PLEASE PLEASE PLEASE HELP I will mark brainliest

Answers

Answer:

Only the first one should be check-marked.

Step-by-step explanation:

F(x)=4x^2+2x+6 what is the value of the discriminant of f?

Answers

Answer:

-92

Step-by-step explanation:

So the  way you find the discriminant is b^2 - 4ac

a = 4

b = 2

c = 6

4 - 96

-92

What goes in the blank box

Answers

Answer:

vertex

Step-by-step explanation:

The answer is vertex because when two rays meet up, the point where they meet is the vertex. The vertex will always be the point of two lines. For example a triangle has three vertices because there are three places in which lines meet up.

Solve the following proportion for .


17/7 = u/8


Round your answer to the nearest tenth.

Answers

Answer:

19.4 =u

Step-by-step explanation:

17/7 = u/8

We can use cross products to solve

17*8 = 7u

Divide each side by 7

17*8/7 = 7u/7

19.42857143 = u

To the nearest tenth

19.4 =u

Answer:

[tex]u = 19.42[/tex]

Step-by-step explanation:

[tex] \frac{17}{7} = \frac{u}{8} \\ \\ cross \: \: \: multiple \\ 17 \times 8 = 7 \times x \\ 136 = 7u \\ \frac{136}{7} = \frac{7u}{7} \\ u = 19.42[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

I NEED HELP can anyone help me, please??

Answers

Answer:

8x - 24 + 4x = 180

12x - 24 = 180

12x - 24 + 24 = 180 + 24

12x = 204

12x / 12 = 204 / 12

x = 17

∠NOP = 4(17)

= 68°

Step-by-step explanation:

Answer:

it might not be on the choice but i got 38.

Step-by-step explanation:

since MNOP is a cyclic quadrilateral it's opposite sides are complementary. so

8x-24+4x=90

12x-24=90

12x=90+24

12x=114  (divide both sides by 12)

x=9.5

since you asked for<NOP=4*9.5=38.

Find the HCF of 12, 48 and 60​

Answers

Answer:

12 = 2 × 2 × 3

48 = 3 × 2 × 2 × 2 × 2

60 = 3 × 2 × 5 × 2

Thus HCF = 2 × 2× 3 = 12

Answer: the answer is 12 hope it helps

Step-by-step explanation:

A loan of £5200 gains interest of £2340 in 5 years.
Find the simple interest rate.
= ? % p.a.​

Answers

Answer:

We have the formula to get the amount of money after 5 years:

A = Principal x (1 + rate)^year

or

5200 + 2340 = 5200 x (1 + rate)^5

=> (1 + rate)^5 = (5200 + 2340)/5200 = 1.45

=> 1 + rate = 1.077

=> rate = 1.077 - 1 = 0.077 = 7.7%

Hope this helps!

:)

Answer:

9

Step-by-step explanation:

r= 100i/pt=

100× 2340/5200×5=9

HELP! 30 pts!
The circle below is centered at the point (-2, -3) and has a radius of length 3.

Answers

Answer:

[tex] (x + 2)^2 + (y + 3)^2 = 9[/tex]

Step-by-step explanation:

Center = (-2, - 3) = (h, k)

Radius (r) = 3

Equation of circle in centre radius form is given as:

[tex] (x - h) ^2 + (y - k) ^2 = r^2 \\

\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\

\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} [/tex]

Elise fills a waffle cone with ice cream exactly level to the top of
the cone. If the cone has a diameter of 2 3/8 inches and a height of
6 inches, how much ice cream does the waffle cone hold?

Answers

Answer:

V=π r^2 h/3

d=2 3/8 inches

convert to radius   d=2r

d=2.375 (value of 2 3/8 inches in decimal)

2.375 divide by 2

r=1.1875 inches

V=π r^2 h/3

V=3.14 x 1.1875^2 x 6/3

Volume will be 8.85.

Step-by-step explanation:

Can you please help please please help me with this question please and i will give you a Brainiest

Answers

25% discount means we pay 100% - 25% = 75% of the original price.

Relationship between sale price and regular price?

SalePrice = (1 - 25/100) × RegularPrice

Sale price is 75% of regular price.

Find the arc length of the semicircle.

Answers

Answer:

Step-by-step explanation:

2 * π * r * 0.5

16π * 0.5

Answer:

4 pi

Step-by-step explanation:

Find two consecutive whole numbers that /28 lies between NEED ASAP PLEASE

Answers

Answer:

To be honest

Step-by-step explanation:

14


A local quilter's guild has a population of 80. When asked how many quilts each person makes in a year, the mean of the population was 4.2. Each person in a group of 8 researchers took a sample size of 10 and determined the mean number of quilts made in one year. What statement accurately describes the relationship between the sample mean and the population mean?
a. The sample mean has to be exactly the same as the population mean
b. The sample mean may or may not be equal to the population mean.
c. The sample mean is always less than the population mean.
d. The sample mean is never the same as the population mean.

Answers

Answer:

the sample mean is never the same as population

Answer:

b

Step-by-step explanation:

which equation is the vertex form of y = 2x^2 + 16x + 26

Answers

Answer:

y = 2(x + 4)² - 6

General Formulas and Concepts:

Order of Operations: BPEMDASCompleting the Square

Step-by-step explanation:

Step 1: Define function

y = 2x² + 16x + 26

Step 2: Find vertex form

Factor GCF:                         y = 2(x² + 8x + 13)Complete the Square:        y = 2(x² + 8x + 4² + 13 - 16)Simplify:                               y = 2((x + 4)² + 13 - 16)Combine like terms:           y = 2((x + 4)² - 6)Simplify:                               y = 2(x + 4)² - 6

Find the lateral area of the right prism with height 0.3 dm, if the base of the prism is Isosceles trapezoid with bases of 3 cm and 5 cm, and legs of 4 cm;

Answers

Answer:

48 cm²  

Step-by-step explanation:

The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.  

The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).

1. Convert the height to centimetres

[tex]h = \text{0.3 dm} \times \dfrac{\text{10 cm}}{\text{1 dm}} = \text{3 cm}[/tex]

2. Calculate the perimeter

p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm

3. Calculate the lateral area

L = ph = 16 cm × 3 cm = 48 cm²

The lateral area of the prism is 48 cm².

 

Simplify the expression.

Answers

Answer:

64x

Step-by-step explanation:

that would be my answer

hope this helps!!! :)

Answer:

64x

Step-by-step explanation:

Simplify into x*4 to the 3 power

Evaluate 4 to the 3 power is 64

Reorder x*64

Final answer = 64x

What is the true solution to l n 20 + l n 5 = 2 l n x x = 5 x = 10 x = 50 x = 100

Answers

Answer: x = 10

Step-by-step explanation:ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

The true solution is x = 10 of the expression ln 20 + ln 5 = 2 ln x which is correct answer would be option (B).

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

According to the problem, we will use some of the basic logarithmic properties,

Given expression,

⇒ ln 20 + ln 5 = 2 ln x

⇒ ln(20×5) = lnx²

⇒ ln100 = lnx²

Take anti logarithms on both sides,

⇒ 100 = x²

Taking the square root,

⇒ x = 10

Hence, the true solution is x = 10.

Learn more about the logarithmic properties here:

brainly.com/question/24211708

#SPJ6

Solve for x
-5(2x+1)-2x-2=17

Answers


-5(2x+1)-2x-2=17
first, distribute
-10x-5-2x-2=17
combine like terms
-12x-7=17
get the x alone, eliminate the constant
-12x=24
divide out the -12 to get the x alone.
x=-2

If f(x) - 4 -3 and s() = x1, find (f-g)(x)

Answers

Answer:

=fx-gx

Step-by-step explanation:

Apply the distribute law

Remove Parentheses

Answer found

Answer: =fx-gx

Hope this helps.

Please help me pick the tallest ones

Answers

Answer:

1ST: MIDDLE 2ND:RIGHT SIDE 3RD: GIRAFFE ON THE LEFT

The cost of 2 markers and 5 pencils is $3.25. The cost of 4 markers and 6 pencils is $5.50.
What is the cost of each item?

Answers

Answer: markers are a dollar each and pencils are twenty five cents each

Step-by-step explanation:

2x1 = 2

5x.25 = 1.25

2+1.25= 3.25

4x1 = 4

6x.25= 1.50

4+1.30 = 5.50

Hope this helps and if you need me to explain it better feel free to ask!

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
GIVE ME 3 answers PLS AND SUB TO ItzMeVik on yotube!!

100 points btw

Answers

Answer:

[tex]y=9x[/tex]

[tex]y=\frac{18x}{2}[/tex]

[tex]y=\frac{81x}{9}[/tex]

Step-by-step explanation:

The given equation is

[tex]3y=27x[/tex]

If we isolate [tex]y[/tex], we can find the constant

[tex]y=\frac{27x}{3}\\ y=9x[/tex]

So, the constant is [tex]k=9[/tex].

Another proportions that have the same constant as the given equation are

[tex]y=9x[/tex]

[tex]y=\frac{18x}{2}[/tex]

[tex]y=\frac{81x}{9}[/tex]

Answer:

a,b, and c

Step-by-step explanation: Got it from khan :)

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