3 years ago

Can you construct a triangle with interior angle measures of 70°, 40°, and 50°?

Mathematics

2 answers:

Ivan3 years ago

5 0

Answer:

Step-by-step explanation:

It’s right

givi [52]3 years ago

3 0

Answer:

D: No, those interior angle measures do not add up to 180°.

Step-by-step explanation:

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2 years ago

number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does

vladimir1956 [14]

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

$P(t) = P(0)(1+r)^t$

Growth rato parameter of 48% per hour

This means that $r = 0.48$ . So

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1+0.48)^t$

$P(t) = P(0)(1.48)^t$

How many hours does it take the size of the sample to double?

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

$P(t) = P(0)(1.48)^t$

$2P(0) = P(0)(1.48)^t$

$(1.48)^t = 2$

$\log{(1.48)^t} = \log{2}$

$t\log{1.48} = \log{2}$

$t = \frac{\log{2}}{\log{1.48}}$

$t = 1.77$

It takes 1.77 hours for the population to double.

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