Write the equation of the line in slope-intercept form that has: slope: 3 point: (0, 2) *

Mathematics

1 answer:

Luda [366]3 years ago

8 0

Answer:y = 3x + 2

Step-by-step explanation: y = mx + b

Where m is the slope and b is the y-intercept.

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I need help with 16a and 17. i haven't been able to understand this in class and no one was able to help me

kompoz [17]

16a. 21cm. bc when it has 10 grams it moves half of that to 5cm so divide 42 by 2 and you get 21cm

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ICE Princess25 [194]

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5/2 or c

Step-by-step explanation:is correct trust me

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A rug is shaped like a rectangle whose perimeter is 276276 ftft. the length is 5 times as long as5 times as long as the width. f

ArbitrLikvidat [17]

Width = w

Length = 5w

Given,

Perimeter = 276 ft

5w * w = 276

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Dinosaur fossils are often dated by using an element other than carbon, like potassium-40, that has a longer half life (in this

Firlakuza [10]

The amount of substance left of a radioactive element of half life, $t_{\frac{1}{2}}$ after a time, t, is given by:

$N(t)=N_0\left( \frac{1}{2} \right)^ \frac{t}{t_{ \frac{1}{2} }}$

Given that potassium-40 has a half life of approximately 1.25 billion years.

The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:

$0.1=100\left( \frac{1}{2} \right)^ \frac{t}{1.25}} \\ \\ \Rightarrow\left( \frac{1}{2} \right)^ \frac{t}{1.25}}=0.001 \\ \\ \Rightarrow\frac{t}{1.25}\ln\left( \frac{1}{2} \right)=\ln(0.001) \\ \\ \Rightarrow \frac{t}{1.25}= \frac{\ln(0.001)}{\ln\left( \frac{1}{2} \right)} =9.966 \\ \\ t=9.966(1.25)=12.5$

Therefore, the maximum age of a fossil that we could date using 40k is 12.5 billion years.

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3 years ago