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3 years ago

a factory fills 10 cups of yogurt every second.how many seconds will take for the factory to fill 1,800 cups of yogurt

Mathematics

1 answer:

Elena-2011 [213]3 years ago

3 0

If the factory fills 10 cups of yogurt per second, it takes 1800/10=180 seconds to fill 1800 cups.

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n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t

givi [52]

Answer:

$\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})$

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

$P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}$

We use this equation to find the value of r.

In this problem, we have that:

$K = 16, P_{0} = 2, P(50) = 4$

So we find the value of r.

$P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}$

$4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}$

$4 = \frac{32e^{50r}}{14 + 2e^{50r}}$

$56 + 8e^{50r} = 32e^{50r}}$

$24e^{50r} = 56$

$e^{50r} = 2.33$

Applying ln to both sides of the equality

$50r = 0.8459$

$r = 0.017$

The differential equation is

$\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})$

3 0

3 years ago

What is the measure of angle M? Type only the number:

Aleks04 [339]

Answer: 30

Step-by-step explanation:

all angle degrees added up = 180 degrees as I said before.

180 = 102+48+M

180 = 150+M

M = 30

4 0

3 years ago

A football team lost 9 yards on each of three consecutive plays. what was the teams total change in position for the three plays

joja [24]

Use it like and equation 1-50 and start at 50 and go back 5 go back 5 go back 5. This question could be interpreted in many ways.

8 0

3 years ago

Simplify the following expression. 3^11/5 divided by 3^-9/5

san4es73 [151]

Answer:

Answer is 81.

Step-by-step explanation:

Given two expressions are $3^{\frac{11}{5} }$ and $3^{-\frac{9}{5} }$

Now we divide first expression by the second.

$\frac{3^{\frac{11}{5} }}{3^{-\frac{9}{5} } }$

$3^{\frac{11}{5} }.3^{\frac{9}{5} }$

$3^{\frac{11}{5}+\frac{9}{5}} = 3^{\frac{20}{5} }=3^{4}=81$

Therefore 81 is the answer.

6 0

3 years ago

Read 2 more answers

This is a slope intercept form problem...can anybody please help me thank you ♥️

spayn [35]

Hi There!

-----------------------------------------

We Know:

$35 per person.

Guides Fee: 10 * 35 = 350

425 - 350 = $75 (guide fee)

-----------------------------------------

Part A:

The problem states to put c as cost and p as number of people:

c = 35p + 75

b = $75 (guide fee)

If you don't need the one above, this is just in slope intercept form.

y = 35x + 75

b = $75 (guide fee)

Answer: c = 35p + 75 or y = 35x + 75

-----------------------------------------

Part B:

How much would it cost for 15 people?

Lets use: c = 35p + b

Substitute p for 15 people and b as $75 for the guide fee: c = 35(15) + 75

Simplify: c = $600

Answer: The total cost for 15 people is $600.

-----------------------------------------

Hope This Helps :)

8 0

3 years ago