Answer:
D
Step-by-step explanation:
The area of a rectangle is given by the formula:
So, we are given that the area is:
And the width is:
And we want to find the length. To do so, first substitute the expressions into the equation:
Thus, to find the length, divide by (x²+3):
So, factor the numerator:
From the first two terms, factor out a x^2.
From the third and fourth terms, factor out a 3:
Combine:
Putting this back:
Cancel:
And that's our answer :)
I believe it would be D.
The appropriate hypotheses for this test are :
- Erica filled 70
- Jen filled 10
- Heather filled 10
- Tonya filled 10
<h3>Meaning of hypothesis</h3>
A hypothesis is a statement that proposes a result that will be tested to get a verified result.A hypothesis is not hundred percent true, that is why it is always put to test. Hypothesis is singular while hypotheses is plural
Making a hypothesis in this case is an attempt to predict an answer or result that will be verified by doing the experiment.
We can conclude by saying that a hypothesis is not hundred percent true.
Learn more about hypothesis: brainly.com/question/606806
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9514 1404 393
Answer:
- sin(Z) = 9/15 = 3/5
- cos(Z) = 12/15 = 4/5
Step-by-step explanation:
The hypotenuse is the longest side, XZ (15). It is opposite the right angle (Y).
The segments adjacent to Z are the ones with Z in their name: ZX and ZY. When we talk about the "side" or "leg" adjacent to Z, we are usually not interested in the hypotenuse ZX. We refer to that as the "hypotenuse." So, the side or leg "adjacent" to Z is ZY, of length 12.
The segment opposite to Z is the one that does not have Z in its name: XY.
sin(Z) = Opposite/Hypotenuse = XY/XZ = 9/15 = 3/5
cos(Z) = Adjacent/Hypotenuse = YZ/XZ = 12/15 = 4/5
Answer:
The estimated Rabbit population by the year 2036 is 32,309 rabbits
Step-by-step explanation:
In this question, we are expected to use the exponential decay function to estimate population of rabbits in a certain year.
An exponential decay function refers to an equation that estimates the value of a parameter(dependent parameter) at a certain value of the independent parameter given that the independent parameter decreases at a certain constant rate.
Firstly, what we need to do is to write the decay function. To do this, we shall be representing the population by variable P, the rate by r , the number of years by t and the initial population by I
Mathematically, we have the decay function as;
P = I(1-r)^t
From the question, we identify these values as;
P = 144,000 : r = 7.2% = 7.2/100 = 0.072, I = 144,00 and t = 2036-2016 = 20 years
Let's plug these values;
P = 144,000(1-0.072)^20
P = 144,000(0.928)^20
P= 32,309
