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3 years ago

Write the linear equation in slope-intercept form

Mathematics

1 answer:

dolphi86 [110]3 years ago

7 0

The y intercept is 0, and the slope is 5x.

Equation: y = 5x +0.

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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

1. Find two numbers with a common factor of 3 only.

Mnenie [13.5K]

Answer:

All numbers can be written as a product of the prime numbers that conform them.

A) Find two numbers with a common factor of 3 only.

for example:

2*3 = 6

7*3 = 21

Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.

B) Write a pair of numbers with a common factor of 2, 3 and 6.

Here we can write:

2*3*2 = 12

3*2*5 = 30

Those two numbers have the common factors 6, 2 and 3.

C) Write a pair of numbers with common factors of 3, 6 and 9.

3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)

-3*2*6 = -36

Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)

8 0

2 years ago

The measures of two complementary angles are (3y − 1)° and (4y + 7)°. Determine the value of y. (Type number only)

blondinia [14]

Answer:

y = 12

Step-by-step explanation:

Complementary angles sum to 90 , so

3y - 1 + 4y + 7 = 90

7y + 6 = 90 ( subtract 6 from both sides )

7y = 84 ( divide both sides by 7 )

y = 12

5 0

3 years ago

3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

alina1380 [7]

Answer:

$138,345

Step-by-step explanation:

This is a compound decline problem, which will be solve by the compound formula:

$F=P(1-r)^t$

Where

F is the future value (value of house at 2030, 14 years from 2016)

P is the present value ($245,000)

r is the rate of decline, in decimal (r = 4% = 4/100 = 0.04)

t is the time in years (2016 to 2030 is 14 years, so t = 14)

We substitute the known values and find F:

$F=P(1-r)^t\\F=245,000(1-0.04)^{14}\\F=245,000(0.96)^{14}F=138,344.96$

Rounding it up, it will be worth around $138,345 at 2030

8 0

3 years ago

Keith purchases a cell phone plan, which includes a cell phone and cell phone

Damm [24]

Answer:

640

Step-by-step explanation:

Rate?

3 0

3 years ago

Write the linear equation in slope-intercept form​

Write the linear equation in slope-intercept form