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IceJOKER [234]
3 years ago
13

HELP ME PLEASE!!!! DUE TODAY!

Mathematics
1 answer:
Len [333]3 years ago
8 0

Answer:

it is b

Step-by-step explanation:

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Enter the explicit rule for the geometric sequence.<br><br> 9,6,4,83,…
soldier1979 [14.2K]

Answer:

a_n = 2^(n - 1) 3^(3 - n)


Step-by-step explanation:

9,6,4,8/3,…

a1 = 3^2

a2 = 3 * 2

a3 = 2^2

As we can see, the 3 ^x is decreasing and the 2^ y is increasing

We need to play with the exponent in terms of n

Lets look at the exponent for the base of 2

a1 = 3^2  2^0

a2 = 3^1   2^1

a3 =    3^ 0 2^2

an =   3^      2^(n-1)

I picked n-1  because that is where it starts  0

 n = 1   (1-1) =0

  n=2   (2-1) =1

  n=3  (3-1) =2

Now we need to figure out the exponent for the 3 base

I will pick (3-n)

n =1  (3-1) =2

n =2  (3-2) =1

n=3    (3-3) =0

8 0
3 years ago
A tree that is 14 feet tall casts a shadow that is 30 feet long. Find the angle of the elevation from the top of the shadow to t
Umnica [9.8K]

Let x = angle we must find

tan x = 14/30

arctan(tan x) = arctan(14/30)

x = 25.0168934781

Answer: 25 degrees

8 0
3 years ago
PLEASE HELP/ANSWER! From 1980 to 1990, Lior’s weight increased by 25%. If his weight was k kilograms in 1990, what was it in 198
Elena-2011 [213]

The weight in 1980 is \frac{4k}{5} kilograms

<em><u>Solution:</u></em>

From 1980 to 1990, Lior’s weight increased by 25%

His weight is "k" kilograms in 1990

<em><u>To find: weight in 1980</u></em>

This is a percentage increase problem

Let "x" be the weight in kilograms in 1980

<em><u>The percentage increase is given by formula:</u></em>

\text{Percentage increase } = \frac{\text{Final value - initial value}}{\text{initial value}} \times 100

Here,

Initial value in 1980 = x

Final value in 1990 = k

Percentage increase = 25 %

<em><u>Substituting the values in formula,</u></em>

25 = \frac{k-x}{x} \times 100\\\\25x = 100(k-x)\\\\x = 4(k-x)\\\\x = 4k - 4x\\\\5x = 4k\\\\x = \frac{4k}{5}

Thus the weight in kilograms in 1980 is \frac{4k}{5}

7 0
3 years ago
Find the area of the circle with the given diameter. Use 3.14 for π. Round to two decimal places.
harkovskaia [24]

Answer:

14.13 m^2

Step-by-step explanation:

Formula for area:

3.14*r^2

To find the radius(r), you do diameter(d)/2:

9/2=4.5

3.14*4.5^2=14.13 m2

6 0
3 years ago
Read 2 more answers
Re-write the quadratic function below in Standard Form<br> y=-3 (x - 2)² – 7
pav-90 [236]

Answer:

y=-3x^2+12x-19

Step-by-step explanation:

we know that

The quadratic equation in standard form is equal to

y=ax^{2} +bx+c

we have

y=-3(x-2)^{2}-7

This is a quadratic equation in vertex form

Convert to standard form

y=-3(x^2-4x+4)-7

Apply distributive property

y=-3x^2+12x-12-7

Combine like terms

y=-3x^2+12x-19 ----> quadratic equation in standard form

3 0
3 years ago
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