Answer:
Step-by-step explanation:
Malcolm's transformation:
First, the blue image is reflected about the line y=-5
Then it is rotated 180 degrees around the point (0,-5)
(you can have other options this is just one example)
Ursa's transformation:
The blue image is reflected about the y axis
(you can have other options this is just one example)
Answer:
20,944 years
Step-by-step explanation:
The formula you use for this type of decay problem is the one that uses the decay constant as opposed to the half life in years. We are given the k value of .00012. If we don't know how much carbon was in the bones when the person was alive, it would be safer to say that when he was alive he had 100% of his carbon. What's left then is 8.1%. Because the 8.1% is left over from 100% after t years, we don't need to worry about converting that percent into a decimal. We can use the 8.1. Here's the formula:

where N(t) is the amount left over after the decay occurs,
is the initial amount, -k is the constant of decay (it's negative cuz decay is a taking away from as opposed to a giving to) and t is the time in years. Filling in accordingly,

Begin by dividing the 100 on both sides to get

Now take the natural log of both sides. Since the base of a natual log is e, natural logs and e "undo" each other, much like taking the square root of a squared number.
ln(.081)= -.00012t
Take the natual log of .081 on your calculator to get
-2.513306124 = -.00012t
Now divide both sides by -.00012 to get t = 20,944 years
Since 1cm represents 4 meters then .5cm would represent 2 meters.
Answer:
The correct option is A
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
Generally the the probability that a randomly selected zucchini will weigh between 0 55 pound and 13 pounds is mathematically represented as

=> 
So looking the option of normal curves given in the question we see that it is option A that matches our interval
What is y={-\dfrac{1}{3}}x-9y=− 3 1 x−9y, equals, minus, start fraction, 1, divided by, 3, end fraction, x, minus, 9 written i
Kobotan [32]
Answer:

Step-by-step explanation:
We are given that

We have to find the standard form of given equation


By using multiplication property of equality

We know that
Standard form of equation

Therefore, the standard form of given equation is given by
