Answer:
65
Step-by-step explanation:
not that hard bro
Answer:
Option A
Step-by-step explanation:
The response variable is the dependent variable whose variation depends on other variables and in this case it is the type of surgery either total knee replacement or partial knee replacement.
While the explanatory variable which is the independent variable manipulated by the researcher for the given experimental study is the amount of activity the patients were able to do after their respective surgeries.
#4 = B
Explanation= Because C&A are the same angle measurement, and the 90 angle is along a straight line making the other angle 90, and the triangles share the same side the postulate you can use is AAS because you can prove that the triangles share 2 common angles and 1 common side
#5 = B
Explanation= Because the triangles already have 1 congruent angle, and 1 congruent side the only thing left we can prove is that because the triangles mirror each other, they have congruent opposite angles (may be called vertical angles) as well so they have 2 angles and 1 side in common which tells you to use AAS
Answer: 1,953,125
This is one single value and it is just a bit under 2 million.
Or more accurately, it's a bit over 1.9 million.
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Explanation:
- a = 5 = first term
- r = -5 = common ratio
Note that dividing any term by its previous term gets us the common ratio
- r = term2/term1 = -25/5 = -5
- r = term3/term2 = 125/(-5) = -5
The r value must stay the same the entire time, or else the sequence isn't geometric.
The nth term of any geometric sequence is a*(r)^(n-1). With the 'a' and 'r' values we found, we update that to 5(-5)^(n-1)
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To verify that is the correct nth term expression, plug in various values of n to compare it with the given sequence.
If we tried n = 2 for instance, then we find the 2nd term is
5(-5)^(n-1) = 5(-5)^(2-1) = -25
which matches what your teacher gave you. I'll let you verify the other terms.
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The last thing we need to do is plug in n = 9 and simplify
5(-5)^(n-1)
5(-5)^(9-1)
5(-5)^8
5(390625)
1,953,125 this is one single value (rather than 3 separate values)
Let's start by turning it into a decimal.
- to turn any percent into a decimal you move the decimal point two places to the left.
Decimal= 5.85
To turn into fraction you know 5 is the whole number and you have 85 hundredths. Just put that in fraction form.
5 and 85/100
Now simplify by dividing both by 5
Answer is
5 and 17/20
