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3 years ago

What are the coordinates of point L?

Mathematics

1 answer:

aksik [14]3 years ago

8 0

Answer:

(1, -3)

Step-by-step explanation:

Start where the axes meet. That is the origin (0,)

Move 1 place to the right that is the x coordinate

Move 3 places down that is the y coordinate

(1,-3)

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A type of organism's cells split every minute. If the organism has 4 cells when the cells begin to split, how many cells will th

snow_lady [41]

Answer:

The total of cells will the organism have after 6 minutes is 252

Step-by-step explanation:

* Lets consider this problem as a geometric series

- There is a constant ratio between each two consecutive numbers

Ex:

# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)

# 5000 , 1000 , 200 , 40 , …………………………(÷5)

* General term (nth term) of a Geometric series:

∵ U1 = a , U2 = ar , U3 = ar^2 , U4 = ar^3 , U5 = ar^4

∴ Un = ar^n-1

- Where r is the ratio between each two consecutive terms and

n is the position of the number in the series

* The sum of first n terms of a Geometric Progression is calculate from

Sn = a(1 - r^n)/1 - r

- In the problem the cell split every minute

- The organism has 4 cells when the cells begin to split

∴ a = 4

# 4 , 8 , 16 , 32 , .......

∴ r = 2

- The total of cells will the organism have after 6 minutes can

calculate from the rule of the sum

∴ S6 = 4(1 - 2^6)/1 - 2 = 4(1 - 64)/-1 = 4(-63)/-1 = 252 cells

4 0

3 years ago

Martin uses his power saw every 15 seconds.How many times did he use it in one hour ?

Alina [70]

Answer:

60÷15 =4

Therefore Martin uses his power saw 4 times in one hour 

7 0

2 years ago

Read 2 more answers

Explain how to divide 3/4 ÷ 3/8 by using reciprocal of 3/8

sertanlavr [38]

The reciprocal of 3/8 would be 8/3 (basically reversing the numbers).

When dividing fractions, you can just multiply the first fraction by the reciprocal of the second fraction instead of dividing by the second fraction.

3/4 ÷ 3/8

= 3/4 × 8/3

Simplifying gives us the final answer:

= 2

Let me know if you need any clarifications, thanks!

5 0

2 years ago

Plz help me plz I need answer and explanation plz

pentagon [3]

9514 1404 393

Answer:

A = {put, the, cake, in, basket}

B = {is, the, cake, in, basket}

C = {no, the, cake, in, basket}

D = { }

Step-by-step explanation:

A = (A -B) ∪ (A∩B) ∪ (A∩C}

A = {put} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}

A = {put, the, cake, in, basket}

B = (B -A) ∪ (B -C) ∪ (B∩A) ∪ (B∩C)

B = {is} ∪ {is} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}

B = {is, the, cake, in, basket}

C = (C -B) ∪ (C∩A) ∪ (C∩B)

C = {no} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}

C = {no, the, cake, in, basket}

D = { } . . . . not defined anywhere

8 0

2 years ago

WVXZ is a parallelogram. Given that <ZXV = 70° and <WZX =4y+34, find y and m<Z

rjkz [21]

Answer:

WZX = 110

y = 19

Step-by-step explanation:

We can create the following equation to solve for y.

$4y + 34 + 70 = 180$

Reduce

4y = 76

y = 19

We then plug into 4y + 34 to get angle

WZX = 110

5 0

2 years ago