someone help me with this

Answer:

[tex]f(n) = 96 * 0.5^n[/tex]

Step-by-step explanation:

Given

[tex]f(3) = 12[/tex]

[tex]f(n) = 0.5 * f(n-1)[/tex]

Required

Write as an explicit function

When n = 3, we have:

[tex]f(3) = 12[/tex]

[tex]f(3) = 0.5 * f(3-1)[/tex]

[tex]f(3) = 0.5 * f(2)[/tex]

Substitute: [tex]f(3) = 12[/tex]

[tex]12 = 0.5 * f(2)[/tex]

Solve for f(2)

[tex]f(2) = 12/0.5[/tex]

[tex]f(2) = 24[/tex]

So, we have;

[tex]f(3) = 12[/tex]

[tex]f(2) = 24[/tex]

Since it is a geometric sequence, calculate the common ratio (r)

[tex]r = \frac{f(3)}{f(2)}[/tex]

[tex]r = \frac{12}{24}[/tex]

[tex]r = 0.5[/tex]

Calculate the first term using:

[tex]r = \frac{f(2)}{f(1)}[/tex]

Solve for f(1)

[tex]f(1) = \frac{f(2)}{r}[/tex]

[tex]f(1) = \frac{24}{0.5}[/tex]

[tex]f(1) = 48[/tex]

The explicit function is then calculated as:

[tex]f(n) = f(1) * r^{n-1[/tex] ----nth term of a gp

[tex]f(n) = 48 * 0.5^{n-1[/tex]

Split the exponent

[tex]f(n) = 48 * \frac{0.5^n}{0.5^1}[/tex]

[tex]f(n) = 48 * \frac{0.5^n}{0.5}[/tex]

[tex]f(n) = 96 * 0.5^n[/tex]

Answer:

$12.30 is the tip

Answer:

$12.30 is the answer.

Step-by-step explanation:

82 * 0.15 = 12.3

Answer:

Step-by-step explanation:

Given,

Line BT is the bisector of <ABC

So,

3x + 13 = 5x - 7

=> 13 + 7 = 5x - 3x

=> 20 = 2x

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10

As,

We got the value of x = 10

Therefore,

<ABT = 3x + 13 °

= 3×10 + 13 °

= 30 + 13°

= 43°

<TBC = 5x - 7°

= 5 × 10 - 7°

= 50 - 7°

= 43°

Hence,

Value of <ABT = 43° and value of <TBC = 43° (Ans)

Answer:

15

Step-by-step explanation:

The grade percentage of Marco is 50%.

A percent is a dimensionless number, meaning that it has no units of measurement, since it represents a part of whatever whole is being measured.

Given that, Marco got 15 questions wrong on his 30-question test.

We need to find his grade as a percent,

So,

Since he got 15 answers wrong,

Therefore, his correct answers = 30-15.

That mean his grade in marks = 15

Now, his grade in percent = 15/30 x 100 = 50%

Hence the grade percentage of Marco is 50%.

Learn more about percentage click;

https://brainly.com/question/29306119

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Answer:

Similarities: both have a base which extends into a single vertex.

Differences: a cone only has 1 edge and a pyramid has a minimum of 6 (for a triangular pyramid).

the base of a pyramid is a polygon - the base of a cone is a curve

(a mathematical cone has no edges at all it is a continuous sheet - or two sheets if you consider the vertex as dividing the surface into two sheets).

Step-by-step explanation:

brainliest?

The key difference between Pyramids and cones are:
A pyramid is basically a code that has a base in the form of a polygon.

Pyramids and cones are alike in the following ways:

Because a cone can be made from a right angle triangle, their formulas are also alike in some ways. Notice that both formulas are related to the height of the object.

The formula for the area of a right angle triangle is:

A =   hb/2

The area of a cone is given as:

A = [tex]\pi[/tex] r (r + [tex]\sqrt{(h²+r²)}[/tex]

Learn more about Pyramids and cones at:
https://brainly.com/question/3812042

Answer:

It isn't a number so you would call it undefined

You can think of it like 14 divided by 0 and like siri said “Imagine that you have zero cookies, and you split them evenly among zero friends. How many cookies does each person get? See? It doesn’t make sense. And Cookie Monster is sad that there are no cookies, and you are sad that you have no friends.” In this case, “Imagine that you have 14 cookies, and you split them evenly among zero friends. How many cookies does each person get? See? It doesn’t make sense. And Cookie Monster is happy he gets 14 cookies, and you are sad that you have no friends.”

Answer:

Domain and Range are both all real numbers.

Step-by-step explanation:

Answer:

21/36 or 7/12

Step-by-step explanation:

1+1          

1+2,  2+1,  2+2

1+3,  3+1,  2+3,  3+2,  3+3,  3+4

1+4,  4+1,  2+4,  4+2,  4+3

1+5,  5+1,  2+5,  5+2

1+6,  6+1

Answer:

l+t=12      3l+2t=32

Step-by-step explanation:

Answer: A is 88

Step-by-step explanation: Sum of all angles is 180 degree.

Let the third interior angle be x.

38+50+x=180

88+x=180

x= 92

A and X are in linear pair.

A+X=180

A+92=180

A=88

Answer:

15m times 2m

Step-by-step explanation:

Answer:

Well in order to find the y-intercept, the “x” has to be 0. To find that we need to find the pattern and to ind the pattern you would need to find the slope. The slope is -4 or 4/ -1

So the Y is 4 and the X is -1

So use that to add or subtract for the pattern

1, -4

0, 0

The y- Intercept is 0 or option (A)

Answer:

3.14159... is irrational. Is that what you mean? What you put right now is rational

Step-by-step explanation:

Irrational = infinite

Rational = Not infinite

Answer:

6:9 or (2:3)

Step-by-step explanation:

A ratio is a term that gives comparison of values. It helps to determine

how much of a particular thing that is compare to other thing.

Given:

numbers of blue marbles= 6

numbers of red marbles= 9

Hence, ratios that represent the numbers of blue marbles to red = 6:9

We can reduce it using factor of 3, hence the ratio becomes(2:3)

Answer:

96 m²

Step-by-step explanation:

To calculate the area of a composite shape, you must divide the shape into rectangles, triangles, or other shapes.

                                                  A = l × w

                                                   L = length

                                                 W = width

Find the area and then add the areas back together.

                                                    12m × 8m

                                                   = 96 m²

The area of the composite shape is 96 m²

Answer: 128

Step-by-step explanation: a=bh so 16 x 8 =128

The rectangular prism is made up of the dimensions

Lenght = 4 cubes

Width = 2 cubes

Height = 4 cubes

The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:

[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]

Therefore, She need 32 cubes to make the prism.

Answer:

0.3571

Step-by-step explanation:

Step 1: Start by setting it up with the divisor 14 on the left side and the dividend 5 on the right side like this:

14[tex]\sqrt{x}[/tex]5

Step 2: The divisor (14) goes into the first digit of the dividend (5), 0 times(s).

Therefore, put 0 on top:

14[tex]\sqrt{x}[/tex]0 5

Step 3: Multiply the divisor by the result in the previous step (14 x 0 =0) and write that answer below the dividend.

14 0

  [tex]\sqrt{x}[/tex]5

   0

Step 4: Subtract the result in the previous step from the first digit of the dividend (5-0 = 5) and write the answer below.

14 0

[tex]\sqrt{x}[/tex] 5

-0/5

Answer:

480

Step-by-step explanation:

if you are descending 8 feet per second for one minute, you have to multiply 8 by 60 and that gives you 480. Hope it helps!

Answer: x=2/9

Step-by-step explanation: Hope this help :D

Answer:

One solution x: 2/9

Step-by-step explanation:

Answer:88

Step-by-step explanation:

1.10c+2.35s=294.20

C+S=172

1.10c+2.35s=294.20 if you multiply by 100.

110c+235s=29420

-110 (cones + sundaes =172)

-110c-110s=-18920

125s/125=10500/125

S= 84

C+84=172

-84. -84

C= 88

Answer:

1850 cents

Step-by-step explanation:

1000 pennies = 1000 cents (Multiply by 1)

100 nickels = 500 cents (Multiply by 5)

10 dimes = 100 cents (Multiply by 10)

10 quarters = 250 cents (Multiply by 25)

Total:

1000 + 500 + 100 + 250 = 1850 cents

Answer:

x = 109°

Step-by-step explanation:

x° is 37° + 72°, due to exterior angle property.

so x° = 109°

Answer:

it should be 1.19 x 10^-7

Step-by-step explanation:

Hope its correct.

Answer:

A ( -d , e )

B ( - d , -e )

C ( d , - e )

Step-by-step explanation:

The centroid of the circle is on the origin.

This means that coordinates are an equal distance away from each other

Ex. Coordinate A and coordinate B are an equal distance away.

The only difference between the coordinates is the signs of the x and y values

This is determined by what quadrant the specific coordinate is in

Ex. Coordinate A is in Quadrant 2.

Coordinates in Quadrant 2 have a negative x value and a positive x value

Because Coordinate A and the given coordinates ( d , e )  have an equal distance between them all we have to do to find the missing coordinate is add a negative sign in front of the x value (d)

That being said, the coordinate of A is (-d,e).

This process is used to find the rest of the missing coordinates

for B

B lies in Quadrant 3

Quadrant 3 = ( -x , -y )

* add negative signs to the x and y value of the given coordinate *

B  = ( -d , - e)

For C

C lies in Quadrant 4

Quadrant 4 = ( x , - y )

* add a negative sign to the y value of the given coordinate *

C = ( d, -e)

Answer:

Acute angle, doesn't have a 90 degree angle to be a right triangle, neither a wide angle to be an obtuse triangle.