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4 years ago

13

Althea and her sister want to hang 5 pics on a 12-foot wall. Each pic frame must be equal distance apart from each other and the

ends of the wall. The frames are 10 inches wide. How far apart will each frame be placed?

2 answers:

omeli [17]4 years ago

8 0

the answer to it is the frames has to be 94 ithink

docker41 [41]4 years ago

3 0

Answer:

Step-by-step explanation:

the answer is 34

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A sample of bacteria is being eradicated by an experimental procedure. The population is following a pattern of exponential deca

77julia77 [94]

Answer:

There will be 50 bacteria remaining after 28 minutes.

Step-by-step explanation:

The exponential decay equation is

$N=N_0e^{-rt}$

N= Number of bacteria after t minutes.

$N_0$ = Initial number of bacteria when t=0.

r= Rate of decay per minute

t= time is in minute.

The sample begins with 500 bacteria and after 11 minutes there are 200 bacteria.

N=200

$N_0$ = 500

t=11 minutes

r=?

$N=N_0e^{-rt}$

$\therefore 200=500e^{-11r}$

$\Rightarrow e^{-11r}=\frac{200}{500}$

Taking ln both sides

$\Rightarrow ln| e^{-11r}|=ln|\frac{2}{5}|$

$\Rightarrow {-11r}=ln|\frac{2}{5}|$

$\Rightarrow r}=\frac{ln|\frac{2}{5}|}{-11}$

To find the time when there will be 50 bacteria remaining, we plug N=50, $N_0$ = 500 and $r}=\frac{ln|\frac{2}{5}|}{-11}$ in exponential decay equation.

$50=500e^{-\frac{ln|\frac25|}{-11}.t}$

$\Rightarrow \frac{50}{500}=e^{\frac{ln|\frac25|}{11}.t}$

Taking ln both sides

$\Rightarrow ln|\frac{50}{500}|=ln|e^{\frac{ln|\frac25|}{11}.t}|$

$\Rightarrow ln|\frac{1}{10}|={\frac{ln|\frac25|}{11}.t}$

$\Rightarrow t= \frac{ln|\frac{1}{10}|}{\frac{ln|\frac25|}{11}.}$

$\Rightarrow t= \frac{11\times ln|\frac{1}{10}|}{{ln|\frac25|}}$

$\Rightarrow t\approx 28$ minutes

There will be 50 bacteria remaining after 28 minutes.

3 0

4 years ago

Which equation represents the pictorial model below?

Tanya [424]

Answer:

3x0.15=0.45

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

if 2 and 4 are factors of a number, is 8 also a factor of that number? I know it's false ( 12 is a multiple of 2 and 4 but not 8

AURORKA [14]

Answer:

It would be false because 2 and 4 are factors which simply mean they can multiply togeher to get another number

Step-by-step explanation:

5 0

4 years ago

Divide the Unit Rate $51 in 6 Hours ?

Lena [83]

Hello.

To find the unit rate, we need to divide 6 by 51.

51/6 = 8.50

Kevin earns $8.50 per hour

Have a nice day

8 0

3 years ago

5) A rectangular piece of paper is 10cmn long and 5cm broad.find its area,

ivann1987 [24]

Area=L•W
10cm•5cm= 50cm^2

3 0

3 years ago