3 years ago

Complete the equations bellow.

Mathematics

1 answer:

Step2247 [10]3 years ago

7 0

What equations? Explanation:

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At 106°F, a certain insect chirps at a rate of 67 times per minute, and at 108°F, they chirp 83 times per minute. Write an equat

Step2247 [10]

Answer:

$y=8x-781$

Here, $x$ represents temperature and $y$ denotes rate of chirping per minute.

Step-by-step explanation:

Let $x$ represents temperature and $y$ denotes rate of chirping per minute.

At $106$ °F, a certain insect chirps at a rate of $67$ times per minute.

Take $(x_1,y_1)=(106,67)$

At $108$ °F, they chirp $83$ times per minute.

Take $(x_2,y_2)=(108,83)$

Slope intercept form:

$y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781$

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The mass of Venus is 4.87 × 10 24 kg. The mass of Earth is 5.97 × 10 24 kg. What is the difference in mass between these two pla

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Answer: 1.1 x $10^{24}$ kg

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Mass of Venus = 4.87 x $10^{24}$

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5.97 x $10^{24}$ - 4.87 x $10^{24}$

= 1.1 x $10^{24}$

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