MATHEMATICS MIDDLE SCHOOL

Find the sequence..
1,2,2,4,8

Answers

Answer 1
Answer: Let the n-th term be called a_n

We see that if we choose a_0=1,a_1=2 then the other numbers follow the pattern a_(n+2)=a_(n+1)\cdot a_n (see :4=2*2,8=4*2)

Hence the sequence will be 1,2,2,4,8,32,256, 8192, 2097152, 17179869184,\dots

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I need help with thisA DVD movie sells for $29 and the sales tax is 5.5%. What is the total cost of the movie to the nearest penny? Show your work to earn credit.

Answers

29×5.5=159.5 slide the decimal 2 places to the left, so you get 1.595. That rounds up to $1.60. So $29.00+$1.60=$30.60
first you turn the tax percent into a decimal, then multiply by 29 dollars.
the answer you get from multiplying you will add that to 29 $

18. WILL MARK BRAINLIEST!!HELP! ​

Answers

Answer:

3x-20

Step-by-step explanation:

I'm not understanding ratios and i need help with the meaning of this.

Answers

When understanding ratios, we need to know that it compares two quantities.

Remember this:- A ratio does NOT include units. It only compares two quantities.

Three ways to write a ratio:-

3/5      3:5       3 to 5

Example:- The ratio of boys to girls is 4 to 6.

Write a ratio.

4:6 or 4/6 or 4 to 6.

Solve. x/3 - 12 = 24

Answers

(x)/(3) - 12 = 24 \n \n (x)/(3) = 24 + 12 \n \n (x)/(3) = 36 \n \n x = 36 * 3 \n \n x = 108 \n \n

The final result is: x = 108.
The Answer is 108

x/3 - 12 = 24
     + 12   +12
x/3 = 36
*3      *3
x=108

Write an equation of a line that is perpendicular to the line below and passes through the given point

Answers

a line perpendicular  would have the opposite slope, meaning that if you multilied the line of this slope and the new slope, you would get -1

in y=mx+b   m=slope and b=yintercept
-1/5 times 5/1=-1 so the new slope is 5
so y=-1/5x+3 
the point you want is 2,8 or this equation is true when x=2 and y=8 are true so subsitute and solve for the new 'b'

8=5(2)+b
8=10+b
subtract 10 from both sides
-2=b

the equaqtion is y=5x-2
When you see an equation in the format:
y = mx + c.
Know that the slope = m.

y = -1/5 x +  3.

Therefore slope, m = -1/5.  But for the new line to be perpendicular to this, the new line's slope would be the negative reciprocal of -1/5.

That is using the condition for perpendicularity:
m1* m2 = -1.            m1 = -1/5.

Where m2 = new slope of the line.

m2  =  -1 / (-1/5)  = 5.

So the slope of the perpendicular line is 5.

Using the slope and one point format:

y - y1 = m(x - x1)  here  (x1 , y1) is the point given (2, 8),  x1 = 2 ,  y1 = 8.

m = 5, the new gradient here.

y - 8  = 5(x - 2)
y - 8 = 5x - 10
y = 5x - 10 + 8
y = 5x -2.

So that's the equation of the perpendicular line passing through the given point.

Members of the fire department lean a 30-foot ladder against a building. The side of the building is perpendicular to the level ground so that the base of the ladder is 10 feet away from the base of the building. To the nearest foot, how far up the building does the ladder reach?Can you please explain with some details?

Answers

To get this you just have to square 30 then square 10 then subtract the answer you get the find the square root of what you get so 900-100=800 the square root of 800 is 28.3.
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