What is the value of y in the equation 6 + y = −3?

A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.

dezoksy [38]

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

<h3>How to calculate Exponential Growth?</h3>

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

Read more about Exponential Growth at; brainly.com/question/27161222

#SPJ1

4 0

1 year ago

Can someone help me with this please?

11111nata11111 [884]

The perimeter is
$2(2z+3z-3)=44$
$\Rightarrow 2(5z-3)=44$
$\Rightarrow 10z-6=44$
$\Rightarrow 10z=50$
$\Rightarrow z=5$

The length of AB is
$3z-3=3(5)-3=15-3=12$

6 0

2 years ago

Trevon and Ming are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecake and apple cheesecake.

qwelly [4]

The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.

Step-by-step explanation:

Let,

Cost of one French silk cheesecake = x

Cost of one apple cheesecake = y

According to given statement;

8x+y=54 Eqn 1

3x+y=29 Eqn 2

Subtracting Eqn 2 from Eqn 1

$(8x+y)-(3x+y)=54-29\\8x+y-3x-y=25\\5x=25$

Dividing both sides by 5

$\frac{5x}{5}=\frac{25}{5}\\x=5$

Putting x=5 in Eqn 1

$8(5)+y=54\\40+y=54\\y=54-40\\y=14$

The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

3 0

2 years ago

Find y into the nearest hundredth place

vichka [17]

Answer:

12.43ft

Step-by-step explanation:

From the given diagram, we simply apply the sin rule

According to the sine rule

=

y is the side y

y° = (90 - 43) = 47

z = 17

z° = 90

Input the parameters and solve;

$\frac{y}{sin 47} = \frac{17}{sin 90}$

ysin 90 = 17 sin 47

y = 12.43ft

6 0

3 years ago

3. The volume of a shipping container is 448.656 cubic inches and it can hold 24 smaller boxes. What is the volume of each of th

Licemer1 [7]

We are given volume of a shipping container = 448.656 cubic inches.

And this shipping container can hold = 24 smaller boxes.

Volume of each small box = $\frac{The\ volume\ of\ the \ shipping\ container}{Volume \ of \ each \ small \ box}$ .

= $\frac{448.656}{24}$

On dividing 448.656 by 24 we get

= 18.694.

<h3>Therefore, the volume of each of the smaller boxes is C. 18.694 cubic inches .</h3>

7 0

3 years ago