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3 years ago

Find the value of x please help I give brainly 20 points

Mathematics

1 answer:

fiasKO [112]3 years ago

7 0

Answer:

x=148

Step-by-step explanation:

First, find the missing angle by subtracting 100+48 from 180 (all of the angles in a triangle add up to 180). Then, subtract that from 180 (the angles are a linear pair, so they are supplementry, so they add up to 180) x+32=180.

x=148.

(お役に立てれば！)

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The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate

Veronika [31]

It takes 8.35 hours for the size of the sample to double

Step-by-step explanation:

The form of the continuous exponential growth model is

$A=Pe^{rt}$ , where

A is the new value
P is the initial value
r is the rate of growth or decay in decimal
t is the time

∵ The growth rate is 8.3%

∴ r = 8.3 ÷ 100 = 0.083

∵ The size of the sample will doubled in t hours

∴ A = 2 P

Use the formula of the contentious exponential growth above

∵ $2P=Pe^{0.083t}$

- Divide both sides by P

∴ $2=e^{0.083t}$

- Insert ㏑ in both sides

∴ $ln(2)=ln(e^{0.083t})$

- Remember $ln(e^{n})=n$ because ㏑(e) = 1

∴ $ln(2)=0.083t$

- Divide both sides by 0.083

∴ $\frac{ln(2)}{0.083}=t$

∴ t = 8.35 hours to the nearest hundredth

It takes 8.35 hours for the size of the sample to double

Learn more:

You can learn more about the logarithmic function in brainly.com/question/1447265

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4 years ago

At one farmers market, bananas cost $0.80 per pound. At another’s farmers market, bananas are sold in 5-pound bags for $4.50 per

Dmitry_Shevchenko [17]

Answer:

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Step-by-step explanation:

$\frac{4.5}{5}$ = 0.9

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Answer:

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dangina [55]

Answer:

Step-by-step explanation:

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2 years ago

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ollegr [7]

Total amount: 16

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If we take a red sock out and do not replace it, we are left with a total of 15 socks.

Blue socks: 6

So the probability of picking a blue sock will be 6/15

Multiply:

4/16 * 6/15 = 24/240 = 1/10

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