Find the distance between the pair of parallel lines, y = -2x+1 & y = -2x+16.

Answers

Answer 1

Answer: $Given \ the \ equations \ of \ two \ non-vertical \ parallel \ lines:\n\ny = mx+b_1\ny = mx+b_2\n\nthe \ distance \ between \ them \ can \ be \ expressed \ as : \n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) )$

$y = -2x+1\ny = -2x+16 \n\n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) ) =(| 1-16|)/( √( (-2)^2+1) ) =(| -15|)/( √( 4+1) ) =(15)/(√(5))\cdot (√(5))/(√(5))=\n \n\n=(15√(5))/(5)=3√(5)\approx 3\cdot 2.24 \approx 6.72$

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the relative frequency of a blue on a spinner is 3/5.how many times would you expect a blue in 250 spins

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Karissa eats 400 bananas per day. using f(x)=400x•422, where x is the amount of time in days, and f(x) is the amount of potassium in karissa's bones in Mg. how much radiation has she built up over 14 days, if there is 0.1 mSv of radiation per 422 milligrams of potassium.equation: f(x)=400x•422

Answers

Answer:

560 mSv of radiation

Step-by-step explanation:

To calculate how much radiation Karissa has built up over 14 days, we need to first calculate the amount of potassium in her bones after 14 days. We can do this using the function f(x):

$\sf f(x) = 400x \cdot 422$

where x is the amount of time in days, and f(x) is the amount of potassium in Karissa's bones in milligrams.

To calculate the amount of potassium in Karissa's bones after 14 days, we would simply substitute x = 14 into the function:

f(14) = 400 × 14 × 422

f(14) = 2363200 milligrams

Now that we know how much potassium is in Karissa's bones, we can calculate how much radiation she has built up.

We know that there is 0.1 mSv of radiation per 422 milligrams of potassium, so we can simply multiply the amount of potassium in Karissa's bones by 0.1 mSv/422 mg to calculate the amount of radiation she has built up:

$\begin{aligned} \textsf{Radiation amount }&= \sf 2363200 milligrams * 0.1 mSv/422 mg \n\n & = \sf 560 mSv \end{aligned}$

Therefore, Karissa has built up 560 mSv of radiation over 14 days.

Step-by-step explanation:

Substituting x = 14, we have f(14) = (400)(14)(422) = 2,363,200 mg of Potassium accumulated.

This is equivalent to (2363200)(0.1/422) = 560 mSv of radiation.

A skydiver is falling 176 feet per second. how many feet per minute is he falling?

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So you would have to times 176 by 60 ,because of 60 seconds in a minute, and that would be 10,560 ft per minute

60 seconds in a minute so 179 times 60 equals 727 fpm

How do I find the complementary angle of 69 degrees?

Answers

21 would be ur answer

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Harold spends 1/6 of the year on his aunts farm. He has done this for the last 8 years. What is the total amount of years, in simplest form , that Harold has spent on his aunts farm? Please explain to me step by step how this problem is solved! Thank you

Answers

First, multiply 1/6 times 8. This gets you 8/6, which reduces to 4/3. This means that she has spent 4/3 of a year on the farm. Now if you'd like, you can simplify this to 1 1/3 years, depending on what your teacher wants.

Which solid figure has six vertices?

Answers

A triangular prism has six vertices.

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