Consider the relation. {(–3, 2), (–1, 3), (–1, 2), (0, 4), (1, 1)} Determine which best describes the given relation. The given relation is not a function because the input of –1 has two outputs of 2 and 3. The given relation is a function because the input of –1 has two outputs of 2 and 3. The given relation is a function because the output of 2 has two inputs of –1 and –3. The given relation is not a function because the output of 2 has two inputs of –1 and –3.
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What are the partial products of 34 and 57
On Friday 3/10 of the students at a school were wearing white t-shirts and 5/12 of the students were wearing blue shirts.
Write an algebraic expression with the variable x that has a value of 3 when evaluated
(1) 31 bacteria per square centimeter
(2) 42 bacteria per square
centimeter
(3) 48 bacteria per square centimeter
(4) 51 bacteria per square centimeter
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Answer: 31 bacteria per square centimiter.
Step-by-step explanation:
The correct number of bacteria in the question is 2,450.
Hi, to answer this question we have to apply the next formula:
Area of a circle = π x (diameter/2) ^2
Replacing with the values given:
A = π x (10/2) ^2
A = π x (5) ^2
A = π x 25 = 78.54 cm2
Next, we have to divide the number of bacteria (2,450) by the area of the dish
2450 / 78.54 = 31.19 = 31 bacteria per square centimiter.
Feel free to ask for more if needed or if you did not understand something.
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Answer:
the standard form of a quadratic equation is ax² + bx + c
the vertex form is a(x - h) + k where h & k are the x and y coordinates
to get from standard form to vertex form, you would have to follow this formula to find h:
-b/2a
plug in the values, and you will get the value of h.
to get k, you plug in the value you have just found in the above formula into the original equation, and that is the value of k.
the a in the vertex form is the value of a in the standard form
so an example of this would be: x² + 2x + 4 where a = 1, b = 2 c = 4
to get this into vertex form we will use the formula -b/2a and solve:
-2/2(1) --> -2/2 = -1
now we plug in the value we found into the original equation wherever x is
(-1)² + 2(-1) + 4 --> 1 - 2 + 4 = 3
we have both h and k, and we will put this into vertex form:
a(x - h)² + k turns into ---> (x + 1)² + 3
why x+1 and not x-1? the original equation has a negative sign, and the result we have is negative. this conflicts with the original equation and is therefore turned into a positive 1
where did a go? since a = 1, we do not need to write it, if a was equal to 2 then we would write the 2 in front
Number of fans cheering for the Hawks: 35,325
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45% --------------------- 35,325
100% ------------------- x
crossmultiply now
45x=100*35325
45x=3532500 /:45
x=3532500:45
x=78,500 - its the answer
21*3.86/0.207
anyone knw the estimate for this?
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all you do is find a common denominator and then add numerator to numerator and denominator to denominator
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Work:
54 in. : 7 ft.
54 in. : (7 ft. * 12 in.)
54 in. : 84 in.
54 / 84 = 9 / 14
Answer: 9 : 14