HELP ME PLEASE!
Find the equation of the line.
Use exact numbers.
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How many centimeters are equivalentto 2.5 meters?
If f(x)=1-x^2+x^3, then f(-1)=
Three friends — let’s call them X, Y , and Z — like to play pool (pocket billiards). There are some pool games that involve three players, but these people instead like to play 9-ball, which is a game between two players with the property that a tie cannot occur (there’s always a winner and a loser in any given round). Since it’s not possible for all three of these friends to play at the same time, they use a simple rule to decide who plays in the next round: loser sits down. For example, suppose that, in round 1, X and Y play; then if X wins, Y sits down and the next game is between X and Z. Question: in the long run, which two players square off against each other most often? Least often? So far what I’ve described is completely realistic, but now we need to make a (strong) simplifying assumption. In practice people get tired and/or discouraged, so the probability that (say) X beats Y in any single round is probably not constant in time, but let’s pretend it is, to get a kind of baseline analysis: let 0 < pXY < 1 be the probability that X beats Y in any given game, and define 0 < pXZ < 1 and 0 < pY Z < 1 correspondingly. Consider the stochastic process P that keeps track of
Write a valid conclusion using the Law of Detachment or Law of Syllogism given the statements below.1. If you drive above 55mph you will get a ticket2. Kate is driving 60 mph.
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Tanya has 26 quarters and 18 dimes.
Given that Tanya has 44 quarters and dimes which worth $8.30, we need to find the number of each coin type,
To find the same we will use the concept of system of Linear equations,
Let's solve this problem step by step.
Let's assume Tanya has x quarters and y dimes.
The value of x quarters is 25x cents.
The value of y dimes is 10y cents.
According to the given information, the total value of the quarters and dimes is $8.30, which is equivalent to 830 cents. So we have the equation:
25x + 10y = 830 ...........(Equation 1)
Tanya has 44 coins in total:
x + y = 44 ...........(Equation 2)
Now, we can solve this system of equations (Equation 1 and Equation 2) to find the values of x and y.
Multiplying Equation 2 by 25, we get:
25x + 25y = 1100 ...........(Equation 3)
Subtracting Equation 3 from Equation 1, we eliminate the x term:
25x + 10y - (25x + 25y) = 830 - 1100
-15y = -270
Dividing both sides by -15, we get:
y = (-270)/(-15) = 18
Substituting the value of y back into Equation 2, we can find x:
x + 18 = 44
x = 44 - 18 = 26
Therefore, Tanya has 26 quarters and 18 dimes.
Learn more about system of equations click;
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cents. Now total value = 830 cents, ie., 10d + 25(44-d) = 830, ie., 1100 -830 = 15d, ie., d = 54/3 = 18. Therefore A has 18 dimes and 26 quarters.
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Answer:
n
Step-by-step explanation:
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Answer:
45°, 45°, 90°
Step-by-step explanation:
You have described an isosceles right triangle. The angle measures are ...
45°, 45°, 90°
_____
If x is the smaller angle measure, then the total of angles is ...
x + x + 2x = 180°
x = 180°/4 = 45°
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Answer: The coefficient before x^4 is 60
Step-by-step explanation:
Hey! So I am not an expert at this, but you have to use the binomial theorem
I have attached of the Pascals Triangle (one shows the row numbering as well)
Basically in a pascal triangle, you add the two numbers above it to get the next number below
As you can see, the rows start from 0 instead of 1
The 6th row contains the numbers 1, 6, 15, 20, 15, 6, 1 which would be the coefficient terms
NOTE: the exponents always add to 6, the first term starts at 6 and decrease it's exponent by 1 each time (6, 5, 4, 3, 2, 1, 0) and the second term increases it's exponent by 1 each time (0, 1, 2, 3, 4, 5, 6)
Using this information the third term from the sixth row (15) would be where it is x^4 (I have circled it on the second image)
It would be 15 × 2^4 × (1/2)^2 = 60
The reason why it is 2^4 and (1/2)^2 is because the third term has the exponents 4 and 2 (bolded on the NOTE) which means that the first term must be put to the power of 4 and the second term must be put to the 2nd power
Sorry for the lousy explanation. I really hope this makes sense! Let me know if this helped :)
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Answer:
see below
Step-by-step explanation:
It can be convenient to graph the given point, then identify additional points on the line based on the slope. The slope of 2/5 tells you the line will have a rise of 2 units for each run of 5 units.
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Answer:
Check the two conditions of Subspace.
Step-by-step explanation:
If W is a Subspace of a vector space, V then it should satisft the following conditions.
1) The zero element should be in W.
Zero element can be different for different vector spaces. For examples, zero vector in is (0, 0) whereas, zero element in
is (0, 0 ,0).
2) For any two vectors, and
in W,
should also be in W.
That is, it should be closed under addition.
3) For any vector in W and for any scalar,
in V,
should be in W.
That is it should be closed in scalar multiplication.
The conditions are mathematically represented as follows:
1) 0 W.
2) If then
.
3)
Here V = and W = Set of all (x, y, z) such that
We check for the conditions one by one.
1) The zero vector belongs to the subspace, W. Because (0, 0, 0) satisfies the given equation.
i.e., 0 - 2(0) + 5(0) = 0
2) Let us assume and
are in W.
That means: and
We should check if the vectors are closed under addition.
Adding the two vectors we get:
Rearranging these terms we get:
So, the equation becomes, 0 + 0 = 0
So, it s closed under addition.
3) Let k be any scalar in V. And
This means
Taking k common outside, we get:
The equation becomes k(0) = 0.
So, it is closed under scalar multiplication.
Hence, W is a subspace of .