Consider the first five terms of the following sequence.

3, 12, 48, 192, 768, ...

If the sequence defines a function, what is a reasonable domain and range of the
function?

a) Domain: (1, 2, 3, 4, 5, ...); Range: 3, 12, 48, 192, 768, ...}

b) Domain: {1, 2, 3, 4, 5, ...);
Range: all real numbers

c) Domain: all real numbers; Range: {3, 12, 48, 192, 768, ...)

d) Domain: all real numbers; Range: all real numbers

Answer:

28125

Step-by-step explanation:

The [tex]n[/tex]th term of your geometric sequence is [tex]9\cdot5^{n-1}[/tex]. This means that the 6th term is [tex]9\cdot5^{6-1}=28125[/tex].

Answer:

Step-by-step explanation:

[tex]360 - 75 - 17x + 20 = 2(59)[/tex]

[tex]305 - 118 = 17x[/tex]

[tex]187 = 17x[/tex]

》

[tex]x = 11[/tex]

hope it helps...

have a great day!!

Answer:

63mm

Step-by-step explanation:

7mm+8mm=15.

15×15=225

12×12=144(area equals base times height) add 225-144=81(here we are using the Pythagoras theory) so you search for the square root of 81 which is 9 meaning the height is 9. since we say area is 1/2base times height we should take 1/2 ×9×12=63.if the answer doesn't match with the answer in your book please tell me right away so that I can try another method thank you

Answer:234

Step-by-step explanation:

Answer:

Step-by-step explanation:

26

Answer:

Answer in explanation

Step-by-step explanation:

Probability of Magic elf =

[tex]p(elf) \times p(magic) \\ = \frac{1}{3} \times \frac{1}{5} \\ = \frac{1}{15} or \: 0.66667[/tex]

Answer:

6.66%

Step-by-step explanation:

There is a 1/3 chance of getting the character you want and 1/5 chance of getting the weapon you want. So the probability is 1/3*1/5=1/15 or 6.66%.

Answer:

I think it's $50.18 I'm not sure . hope that I helped you .

Answer:

0.3

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

.

Answer:

[tex]4 \frac{1}{2} [/tex]

Step-by-step explanation:

Let's find the value of x first.

From the first sentence:

4x +13= 8

Subtract 13 from both sides:

4x= 8 -13

4x= -5

[tex]x = - \frac{5}{4} [/tex]

[tex]x = - 1 \frac{1}{4} [/tex]

2 times x is added to 7 → 2x +7

2x +7

[tex]= 2( - \frac{5}{4} ) + 7 [/tex]

[tex] = - \frac{5}{2} + 7[/tex]

[tex] = 4 \frac{1}{2} [/tex]

Answer:

Siiiiii

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

4(5 - 2x) + 3 = 7

Distributive property ,    multiply (5-2x) by 4:

20 -8 x + 3 = 7

Combine like terms:

23 - 8x = 7

Inverse add and subtract:

23 - 7 - 8x + 8x = 7 - 7 + 8x

16 = 8x

Inverse divide:

16/8 = 8x/8

x = 2

Answer:

5/8

Step-by-step explanation:

The fraction of students that went to the baseball game can be known by adding the fraction of students that went to the zoo and the aquarium and subtracting it from 1

Sum of the fraction of students that went to the zoo and the aquarium

= [tex]\frac{1}{4} + \frac{1}{8}[/tex]

  [tex]\frac{2 + 1 }{8}[/tex]

= [tex]\frac{3}{8}[/tex]

Fraction of students that went to the baseball game = 1 - [tex]\frac{3}{8}[/tex]

[tex]\frac{8}{8} - \frac{3}{8}[/tex] = [tex]\frac{5}{8}[/tex]

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

4y + 3x = 4 x -3 + 3 x 9

4 x -3 = -12

3 x 9 = 27

-12 + 27 = 15

Answer:

15

Step-by-step explanation:

4(-3) + 3(9)

-12 + 27 = 15

Just do the proportions

Answer:

$51.33

Step-by-step explanation:

Everything is off 65% so that means that $15.40 if 35% of the original price(100%-65%)

Set up Equation:

[tex]\frac{15.40}{x} = \frac{30}{100}[/tex]

Simplify:

[tex]\frac{15.40}{x} =\frac{3}{10}[/tex]

Multiply the first numerator by the last denominator and the first denominator by the last numerator

[tex]3x=154[/tex]

Divide 3 by both sides:

x= 51.33

Answer:

Hi! The answer to your question is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

This equation is in y=mx+b or -b which is Slope Intercept form for Graphing basically y is the y intercept and b means slope, you don't have to do anything extra to find the slope when its in Slope Intercept Form all you have to do is look for usually its a fraction but it can also be a number but all you have to look for is the number that comes before b in the equation! If this has helped you please say that this has helped, if it hasn't please tell me what confuses you and i can quickly clear up that confusion! Have a nice day!

Step-by-step explanation:

given 47 + 10x = -10x + 7

[tex]47 + 10x = - 10x + 7 \\ 47 + 10x + 10x = 7 \\ 47 + 20x = 7 \\ 20x = 7 - 47 \\ 20x = - 40 \\ x = - 40 \div 20 \\ = - 2[/tex]

Answer:

9 mins and 8 secs

Step-by-step explanation:

Answer:

We have 31/36 gallons of paint left after painting the mural.

Step-by-step explanation:

"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."

==================================================================

First change each number into a improper fraction:

1 1/8 = 9/8

1 1/9 = 10/9

7/8 = 7/8

=================================================================

"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"

  -We have to multiply 3/4 by 2/2 to make the denominators same.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 9/8.

9/8 - 6/8 = 3/8

We will have 3/8 gallons of yellow paint.

==================================================================

"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"

     - We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.

10/9 × 4/4 = 40/36

3/4 × 9/9 = 27/36

Now subtract 27/36 from 40/36

40/36 - 27/36 = 13/36

We will have 13/36 gallons of green paint.

==================================================================

"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"

        -We have to multiply 3/4  by 2/2 to get a common denominator.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 7/8.

7/8 - 6/8 = 1/8

We will have 1/8 gallons of yellow paint.

==================================================================

Now, we will add the leftover amounts of paint to find the answer.

3/8 + 13/36 + 1/8

Add "like terms".

4/8 + 13/36

Simplify 4/8 into 1/2

1/2 + 13/ 36

Multiply 1/2 by 18/18 to get a common denominator.

1/2 × 18/18 = 18/36

Substitute 18/36 as 1/2 in the expression.

18/36 + 13/36 = 31/36

So, We have 31/36 gallons of paint left after painting the mural.

==================================================================

Hope I helped, Have a nice day!

              -Aadi x

Answer:

Step-by-step explanation:

Given:

Computation:

d = 12 find 8d

8(12)

96

d = 5 find 75/d

75 / 5

15

p = 4 find 6p² + 8

6(4)² + 8

6(16) + 8

96 + 8

104

Answer: third choice  A=6x^2-7x-3 inches squared

Step-by-step explanation:

Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

Answer:50km hope that helped pls mark me brainliest :))

Answer:

3rd

C

Explanation:

Amit's mistake : The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.

The point (2,-2) is on the circle, and Amit's claim is wrong

The given parameters are:

Center = (-1,2)

Diameter = 10 units

Point = (2,-2)

Start by calculating the radius, r

r = diameter/2

r = 10/2

r = 5

Next, calculate the distance from the point to the center using:

[tex]r = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

This gives

[tex]r = \sqrt{(2 + 1)^2 + (-2-2)^2}[/tex]

Evaluate

r = 5

The distance from the center to the point equals the radius of the circle

Hence, the point is on the circle, and Amit's claim is wrong

Read more about circle equations at:

https://brainly.com/question/1559324

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