So, we know the slope of the original equation is 4. So the perpendicular slope is the negative reciprocal, so it's -1/4. Then, the points have to be -3, 7. So when we plug that into our equation, we get
The sequence "emdangl" rearranges to "mangled" (an appropriately fitting word scramble solution).
There are 7 letters in the sequence "emdangl", so there are 7! = 7*6*5*4*3*2*1 = 5040 different permutations of the seven letters. The exclamation mark is shorthand to represent factorial notation. Factorials are the idea of multiplying from that integer counting down until you get to 1. The reason why this works is because we have 7 letters to pick from for the first slot, then 6 for the next, and so on until all seven slots are filled out.
Since there is one solution ("mangled") out of 5040 total permutations, this means the probability of getting the solution just by random chance/guessing is 1/5040
Use a calculator shows that 1/5040 = 0.0001984 approximately.
Answer:
<em>Addison worked 5 hours</em>
Step-by-step explanation:
<u>Proportions
</u>
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
The relationship between the number of kilograms of dough Addison prepares (y) is proportional to the number of hours he works on it (x).
Knowing he prepared y=30 kilograms of dough after t=3 hours, we substitute in the function:
30 = 3k
Solving for k:
k = 30/3 = 10
The relationship is:
y = 10x
If he prepared y=50 kg of dough, then:
50 = 10x
Solving for x
x = 50/10 = 5
Addison worked 5 hours
I don’t really understand your question can you go into detail more please
Answer: 980 centimeters
Step-by-step explanation: