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2 years ago

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A rectangle prism is 7 cm long, 5 cm wide, and 4 cm. Which values are the areas of cross sections that are parallel to a face or

base of the prism

1 answer:

nata0808 [166]2 years ago

4 0

Check the picture below.

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A bacteria culture starts with 660 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3960 bacte

scoray [572]

Answer:

a) $P(t) = 660 e^{\frac{ln(6)}{6} t}$

b) $P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

Step-by-step explanation:

For this case we have the following info:

$P(0) = 660$ represent the initial amount of bacteria

$P(6) = 3960$ represent the population of bacteria after 6 hours

Part a

For this case we use the proportional model given by:

$\frac{dP}{dt}= kP$

Where P represent the population at time t and k is a constant of proportionality.

We can rewrite the model like this:

$\frac{dP}{P} = k dt$

And if we integrate both sides we got:

$ln |P|= kt + C$

Now if we apply exponential we got:

$P = e^{kt +c}= e^{kt} e^C$

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

For this case using the initial condition:

$660 = P_o e^{0k}, P_o = 660$

We have the following model:

$P(t) = 660 e^{kt}$

Using the second condition $P(6) = 3960$ we have this:

$3960 = 660e^{6k}$

We can divide both sides by 660 and we got:

$6= e^{6k}$

Now we can apply natural log on both sides and we got:

$ln (6)= 6k$

$k = \frac{ln(6)}{6}=0.2986265782$

So then the model would be given by:

$P(t) = 660 e^{\frac{ln(6)}{6} t}$

Part b

For this case we just need to replace t=3 into the model and we got:

$P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

4 0

2 years ago

Levi prepares 3 kilograms of dough every hour he works at the bakery. How many hours did Levi work if he prepared 27 kilograms o

artcher [175]

Answer:

1 hour = 3 kg

27 ÷ 3 = 9 hours

hope this helps.

5 0

3 years ago

PLEASE HELP WITH GEOMETRY QUESTION!! FIND H

Yakvenalex [24]

Answer:

we have

when

base=8cm

height=11cm

area of parallelogram is :base×height

=8*11=88cm³

Now for

base=15cm

height=h

we have

the area of parallelogram=88cm²

base ×height=88cm²

15*h=88

h=88/15

h=88/15 or 5 13/15 or 5.86 cm in approximately

3 0

3 years ago

Read 2 more answers

6TH GRADE MATH!!! I NEED HELP ASAP

aleksandr82 [10.1K]

Step-by-step explanation:

you would start by replacing the "x" with the 9

subtract the 15 and 9

then that would equal 6 which in this case it would be equal to

I'm pretty sure (sorry if it is wrong)

8 0

3 years ago

Read 2 more answers

Find the value of x AND the value of each angle.

guapka [62]

Answer:

x=63

x+15=78

Step-by-step explanation:

180-102=78

78-15=63

x=63

x+15=78

5 0

2 years ago