All categories

2 years ago

A list of numbers is given 32,16,8,4,2,1 Write a rule for the pattern

Mathematics

2 answers:

lara31 [8.8K]2 years ago

6 0

16 is half of 32
8 is half of 16
4 is half of 8
2 is half of 4
1 is half of 2
1 is half of 0 (1 + 0 = 1)

Sphinxa [80]2 years ago

5 0

It is subtracting the current number by 1/2 OR you can divide by 2. each time.

32 / 2= 16
16 / 2=8
8/2=4
4/2=2
2/2=1

Hope this helped!

You might be interested in

Mompoint bought a jacket on sale for 40% off at a department store. The original price was $180. Mompoint must also pay an 8% sa

TiliK225 [7]

The answer to this question is 116.54

4 0

2 years ago

Use variation of parameters to find a general solution to the differential equation given that the functions y1 and y2 are linea

Aleks [24]

Recall that variation of parameters is used to solve second-order ODEs of the form

y''(t) + p(t) y'(t) + q(t) y(t) = f(t)

so the first thing you need to do is divide both sides of your equation by t :

y'' + (2t - 1)/t y' - 2/t y = 7t

You're looking for a solution of the form

$y=y_1u_1+y_2u_2$

where

$u_1(t)=\displaystyle-\int\frac{y_2(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

$u_2(t)=\displaystyle\int\frac{y_1(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

and W denotes the Wronskian determinant.

Compute the Wronskian:

$W(y_1,y_2) = W\left(2t-1,e^{-2t}\right) = \begin{vmatrix}2t-1&e^{-2t}\\2&-2e^{-2t}\end{vmatrix} = -4te^{-2t}$

Then

$u_1=\displaystyle-\int\frac{7te^{-2t}}{-4te^{-2t}}\,\mathrm dt=\frac74\int\mathrm dt = \frac74t$

$u_2=\displaystyle\int\frac{7t(2t-1)}{-4te^{-2t}}\,\mathrm dt=-\frac74\int(2t-1)e^{2t}\,\mathrm dt=-\frac74(t-1)e^{2t}$

The general solution to the ODE is

$y = C_1(2t-1) + C_2e^{-2t} + \dfrac74t(2t-1) - \dfrac74(t-1)e^{2t}e^{-2t}$

which simplifies somewhat to

$\boxed{y = C_1(2t-1) + C_2e^{-2t} + \dfrac74(2t^2-2t+1)}$

4 0

2 years ago

You want to use a coordinate proof to prove that midsegment DE of ABC is parallel to AC and half the length of AC. Which is the

vazorg [7]

Answer:

the third one answer choice

Step-by-step explanation:

⊕ Place the triangle on a coordinate grid such that vertex A is at the origin, and segment AC lies on the x-axis.

You will be able to see the length of segment AC and length of segment DE, and also will be able to see if AC║DE.

4 0

2 years ago

The original rectangle has a perimeter of 16

svet-max [94.6K]

12.4 / 6.2 = 2

so other side of enlarged rectangle = 1.8 x 2 = 3.6

Perimeter of enlarged rectangle = 2(3.6 + 12.4) = 32

Answer: 32 feet

------------------------

Another way to do:

12.4 / 6.2 = 2

SF = 2

The original rectangle has a perimeter of 16

Perimeter of the enlarged rectangle = 16 x 2 = 32

Answer: 32 feet

5 0

3 years ago

Show work please and no links

Mashutka [201]

Answer:

man it’s one in the morning and your picture is blurry a f

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers