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3 years ago

Common factor for 32 and 30

Mathematics

1 answer:

Keith_Richards [23]3 years ago

4 0

Common Factor for 32 and 30 would be 1 and 2. Greatest common factor is 2.

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5/28

natulia [17]

Answer:

Part a) The rule of the sequence is $A(n)=50(0.52^{n-1})$

Part b) The height of the ball will be $13.52\ cm$

Step-by-step explanation:

Part a) Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.

we know that

In a <u>Geometric Sequence</u> each term is found by multiplying the previous term by a constant called the common ratio (r)

In this problem we have a geometric sequence

Let

n-----> the number of path

a1 ----> is the initial height

r -----> the common ratio

we have

$a1=0.5\ m=0.5*100=50\ cm$

$r=52\%=52/100=0.52$

The rule for the sequence is equal to

$A(n)=a1(r^{n-1})$

substitute

$A(n)=50(0.52^{n-1})$

Part b) What height will the ball be at the top of the third path?

For n=3

substitute in the equation

$A(3)=50(0.52^{3-1})$

$A(3)=50(0.52^{2})$

$A(3)=13.52\ cm$

4 0

3 years ago

Rectangle MNOP is similar to rectangle WXYZ. Which is the length of segment YZ?

DanielleElmas [232]

Answer: Do it yourself!

Step-by-step explanation:

7 0

3 years ago

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Consider the following equation. 9x2 − y2 = 6 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly fo

qaws [65]

Answer:

Step-by-step explanation:

Given is an equation in x and y as

$9x^2 - y^2 = 6$

We use implicit method to differentiate the above equation

18x-2yy'=0

y' = 9x/y

b) to solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±

We separate the variables as

$yy' =9x\\\frac{y^2}{2} =\frac{9x^2}{2} +C\\y^2 =9x^2+2C$

Take square root

$y=\sqrt{9x^2+2C} \\y=-\sqrt{9x^2+2C}$

6 0

3 years ago

YALL HELP I HAVE A EXAM

vekshin1

Answer:

haha lo we arent helping you cheat

Step-by-step explanation:

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3 years ago

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Kim purchased 6 small containers of potato salad and Seth purchased 2 extra

victus00 [196]

Answer:

the difference is that the 2 extra LARGE containers weigh bigger than the

6 small ones

Step-by-step explanation:

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3 years ago