Let's solve your inequality step-by-step.5x+3<18
Step 1: Subtract 3 from both sides.5x+3−3<18−35x<15
Step 2: Divide both sides by 5. 5x/5<15/5
x<3
Answer:x<3

6 0

3 years ago

A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is

Luba_88 [7]

Answer:

$P(t) = 100e^{0.0251t}$

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

$P(t) = P(0)e^{kt}$

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

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that $P(0) = 100$ . So

$P(t) = 100e^{kt}$

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that $P(60) = 450$ , and we use this to find k. So

$450 = 100e^{60k}$

$e^{60k} = 4.5$

$\ln{e^{60k}} = \ln{4.5}$

$60k = \ln{4.5}$

$k = \frac{\ln{4.5}}{60}$

$k = 0.0251$

$P(t) = 100e^{0.0251t}$

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

$200 = 100e^{0.0251t}$

$e^{0.0251t} = 2$

$\ln{e^{0.0251t}} = \ln{2}$

$0.0251t = \ln{2}$

$t = \frac{\ln{2}}{0.0251}$

$t = 27.65$

The doubling time is of 27.65 minutes.

7 0

3 years ago

Which is the graph of r = 6 cos?

Alex777 [14]

Answer:

Using the formula

cos

(

)

sin

(

), graph the circle.

cos

(

)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Frank and Maxine are comparing the number of boys and girls in the class. Frank says there are 12 out of a total of 24 students.

Marrrta [24]

Yes because if yuo add 12 more your adding 12 more of students to make 24

7 0

3 years ago