18.05.2022

A bacteria with an initial size of 180in2 grows by 27% every minute. What will the size of the bacteria be after 8hours

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24.06.2023, solved by verified expert
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The size of the bacteria after 8 hours will be of A bacteria with an initial size of 180in2 grows, №17886997, 18.05.2022 19:53 squared inches.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

A bacteria with an initial size of 180in2 grows, №17886997, 18.05.2022 19:53

In which F(0) is the initial value and F is the growth rate.

A bacteria with an initial size of 180in2 grows by 27% every minute.

This means that A bacteria with an initial size of 180in2 grows, №17886997, 18.05.2022 19:53. So

A bacteria with an initial size of 180in2 grows, №17886997, 18.05.2022 19:53

A bacteria with an initial size of 180in2 grows, №17886997, 18.05.2022 19:53

A bacteria with an initial size of 180in2 grows, №17886997, 18.05.2022 19:53

In which t is measured in minutes,

What will the size of the bacteria be after 8hours

8 hours has 8*60 = 480 minutes, so this is F(480).

A bacteria with an initial size of 180in2 grows, №17886997, 18.05.2022 19:53

The size of the bacteria after 8 hours will be of A bacteria with an initial size of 180in2 grows, №17886997, 18.05.2022 19:53 squared inches.

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Mathematics
Step-by-step answer
P Answered by PhD

The size of the bacteria after 8 hours will be of 1.2 \times 10^{52} squared inches.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

F(t) = F(0)(1+r)^{t}

In which F(0) is the initial value and F is the growth rate.

A bacteria with an initial size of 180in2 grows by 27% every minute.

This means that F(0) = 180, r = 0.27. So

F(t) = F(0)(1+r)^{t}

F(t) = 180(1+0.27)^{t}

F(t) = 180(1.27)^{t}

In which t is measured in minutes,

What will the size of the bacteria be after 8hours

8 hours has 8*60 = 480 minutes, so this is F(480).

F(480) = 180(1.27)^{480} = 1.2 \times 10^{52}

The size of the bacteria after 8 hours will be of 1.2 \times 10^{52} squared inches.

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
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For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
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P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
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P Answered by PhD

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%

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