The graph shows the density of a substance. Find the density in grams per milliliter.

Is it a zero slope when the zero is the numerator of a fraction?? Ex:0/29

Mama L [17]

The numerator is 0, the denominator is -11, the division symbol is -, and the value of the fraction is 0 because the value of the numerator is 0

5 0

3 years ago

Do Ilboe.org bookmarks

gavmur [86]

You can do this just believe in your self
It A

8 0

2 years ago

The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth

Art [367]

Answer:

a) $N_0=250\; k=0.15$

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies $t=0$ . And $N(0)=N_0$ . The process is:

$N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250$

b) After 2 days means $t=48$ . So, we just replace and operate:

$N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}$

c) $N(t_1)=4000; \;t_1=?$

$N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\ \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h$

d) $t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)$

$N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h$

6 0

3 years ago

when a measurement in inches is converted to centimeters, will the number of centimeters be greater or less than the number of i

Margarita [4]

Greater because a centimeter is smaller than an inch.

4 0

3 years ago

A car travels at a constant speed of 45 km per hour for 5 min each wheel has a radius of 25 centimeters calculate the number of

Arisa [49]

Answer:

477.47 revolutions

Step-by-step explanation:

From the information given:

The formula for calculating the circumference = 2π r

Given that the radius of each wheel = 25 centimeter

Then, the circumference = 2 π (25)

= 50π cm

The distance traveled in 5 minutes is as follows:

Given that:

The speed = 45 km/ hour

i.e.

1 hour = 45 km

In an hour, we have 60 minutes

So, 60 minutes = 45 km

1 minute = 45/60 = 0.75 km

To cm;

0.75 km = (0.75 × 1000) m = 750 m

750 m = 750 × 100 = 75,000 cm

∴

The number of revolution in 5 minutes sInce 1 revolution = 50π cm is:

= 75,000 cm/ 50π cm

= 477.47 revolutions in 5 minutes

6 0

2 years ago