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ANTONII [103]
3 years ago
9

What is the radius of the circle with this equation of (x-5)^2 + 4+7)^2 = 8?

Mathematics
1 answer:
Leya [2.2K]3 years ago
4 0

Answer:

2\sqrt{2} is the exact answer

2.83 is the answer to the nearest 100th

Step-by-step explanation:

I think the equation should be

(x-5)^2 + (y+7)^2 = 8 instead of (x-5)^2 + 4+7)^2 = 8

r^{2} = 8

r = \sqrt{8} = 2\sqrt{2}

2\sqrt{2} is the exact answer

2.83 is the answer to the nearest 100th

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A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day (t in days). Find the insect population after 6 day
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Answer:

The insect population after 6 days is of 1639 insects.

Step-by-step explanation:

A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day

This means that r(t) = 230 + 8t + 0.9t^2

The population of insects after x days is given by:

P(t) = \int_{0}^{x}r(t)dt

So

P(x) = \int_{0}^{x} (230 + 8t + 0.9t^2)

P(x) = 230t + 4t^2 + 0.3t^3 + K|_{0}^{x}

P(x) = 230x + 4x^2 + 0.3x^3 + K

In which K is the initital population(which is 50). So

P(x) = 230x + 4x^2 + 0.3x^3 + 50

After 6 days:

P(6) = 230*6 + 4*6^2 + 0.3*6^3 + 50 = 1638.8

Rounding to the nearest insect, 1639

The insect population after 6 days is of 1639 insects.

7 0
3 years ago
Solve the equation.
Rasek [7]

Answer:

x=1/2 would be correct

4 0
3 years ago
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Describe a model that represents 3/3 x 4/4??
Oduvanchick [21]
They are both fractions, but 3/3 is 1 whole and 4/4 is 1 whole also.
so 1 whole times 1 whole equals 1
number form of my explanation:
3/3=1
4/4=1
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Describe complete!
4 0
3 years ago
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Answer: There were 40 euros in the drawer at the beginning.

Step-by-step explanation:

When we subtract 6 from 16, we get 10 more ice-creams were sold.

Similarly, we subtract 70 from 120, we get 50 euros was the total selling price of 10 ice-creams.

i.e. Selling price of 1 ice-cream = (50)÷10 =5 euros

Selling price of 6 ice-creams = 6 x 5 = 30 euros

Money in the drawer at the beginning = 70-30 = 40 euros

Hence, there were 40 euros in the drawer at the beginning.

7 0
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Seventeen added to a number is sixty-five. What is the number?
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Answer:

problem: 17+x=65

answer: 48

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