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3 years ago

The population of a certain species of bacteria doubles every hour. Use the following

Mathematics

1 answer:

elena55 [62]3 years ago

7 0

Answer:

The bacteria will grow from 1 to 1024 in 10 hours

Step-by-step explanation:

Given

P_0 = 1

P = 1024

We have to find time

Putting values in the formula

$P = P_0(2)^t\\1024=(1)(2)^t$

Anything multiplied with 1 remains the same

$1024=2^t\\2^{10} = 2^t$

Using the property "when bases are same, the exponents can be put equivalent"

t = 10 hours

Therefore, the bacteria will grow from 1 to 1024 in 10 hours ..

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Anyone wanna help?please

timama [110]

$\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}$

Given to points to us are :-

( 3 , -6 )
( -1 , -8 )

( As these are plotted on graph with yellow dots .)

Now , we can use Distance Formula , which is :-

$\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}$

Here ,

x1 = 3 .
x2 = -1.
y1 = (-6)
y2 = (-8).

→ Substituting the respective values ,

⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .

⇒ Distance = √ (3+1)² + (8-6)²

⇒ Distance = √ 4² + 2²

⇒ Distance = √ 16 + 4

⇒ Distance = √20 = √4 × √5

⇒ Distance = 4√5units .

Hence the distance between two points is 4√5u.

3 0

3 years ago

5/9 power -2 * 3/5 power -3 * 3/5 power 0

zavuch27 [327]

Answer:

Step-by-step explanation:

5/9^-2 = 81/25

3/5^-3 = 125/27

3/5^0 = 1

81/25 x 512/27 x 1 = 15

3 0

2 years ago

Read 2 more answers

Enter the explicit rule for the geometric sequence. 9,6,4,83,…

soldier1979 [14.2K]

Answer:

a_n = 2^(n - 1) 3^(3 - n)

Step-by-step explanation:

9,6,4,8/3,…

a1 = 3^2

a2 = 3 * 2

a3 = 2^2

As we can see, the 3 ^x is decreasing and the 2^ y is increasing

We need to play with the exponent in terms of n

Lets look at the exponent for the base of 2

a1 = 3^2 2^0

a2 = 3^1 2^1

a3 = 3^ 0 2^2

an = 3^ 2^(n-1)

I picked n-1 because that is where it starts 0

n = 1 (1-1) =0

n=2 (2-1) =1

n=3 (3-1) =2

Now we need to figure out the exponent for the 3 base

I will pick (3-n)

n =1 (3-1) =2

n =2 (3-2) =1

n=3 (3-3) =0

8 0

3 years ago

If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193 how much was your original deposit? 29 Origin

Wittaler [7]

Answer:

The original amount deposit is $1641627.68.

Step-by-step explanation:

Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.

To find : How much was your original deposit?

Solution :

Applying interest formula,

$A=P(1+r)^t$

Where, A is the amount i.e. A=$3783193

P is the principal value i.e. the original deposit

r is the interest rate r=11%=0.11

t is the time t=8 years.

Substitute the value in the formula,

$3783193=P(1+0.11)^8$

$3783193=P(1.11)^8$

$3783193=P\times 2.30$

$P=\frac{3783193}{2.30}$

$P=1641627.68$

Therefore, The original amount deposit is $1641627.68.

3 0

3 years ago

Arthur hs 20/8 cups of dish wahing detergent, he uses 1/4 cup for each load, how many loads can he do

scoray [572]

Answer:

Step-by-step explanation:

4 0

2 years ago