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Lady bird [3.3K]
4 years ago
11

Plans for a new park call for gardens directly across the sidewalk from each other to be congruent. This computer printout shows

a rose garden. If the vertices of a tulip garden are located at (x1,−y1), (x2,−y2), (x3,−y3), and (x4,−y4), will the tulip garden be congruent to the rose garden?
A)No, because the transformation applied was not a rigid motion.
B)You cannot tell because you do not know where the points are in the plane.
C)Yes, because the tulip garden is a reflection of the rose garden.
D)Yes, because the same transformation was applied to all the vertices.
Mathematics
1 answer:
Alenkasestr [34]4 years ago
7 0

The answer is letter C

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According to data from the U.S. Bureau of the Census, the approximate population y (in millions) of Los Angeles between 1950 and
dmitriy555 [2]

Answer:

The year in which the population of Los Angeles reached 2.6 million is 1965.

Step-by-step explanation:

We are given the approximate population y (in millions) of Los Angeles between 1950 and  2000 is given by:

y = 0.0000113x^3-0.000922x^2 +0.0538x + 1.97

y = Population(in millions)

We are supposed to find the year in which the population of Los Angeles reached 2.6 million.

Substitute y = 2.6

2.6 = 0.0000113x^3-0.000922x^2 +0.0538x + 1.97\\2.6-1.97=0.0000113x^3-0.000922x^2 +0.0538x\\0.63=0.0000113x^3-0.000922x^2 +0.0538x

The real solution is x=14.77≈15

We are given that 0 corresponds to 1950.

So, 15 corresponds to 1965

Hence the year in which the population of Los Angeles reached 2.6 million is 1965.

7 0
3 years ago
A telephone solicitor is responsible for canvassing three suburbs. In the past, 60% of the completed calls to Belle Meade have r
nadezda [96]

Answer:

There is a 46.25% probability that she receives a donation.

Step-by-step explanation:

We have to divide these probabilities in 2.

First the probability that each suburb donates.

There is a 60% probability that a person from Belle Meade donates

There is a 55% probability that a person from Oak Hill donates.

There is a 35% probability that a person from Antioch donates.

Now the probability that she calls each suburb.

The probablem states that her list of telephone numbers includes one thousand households from Belle Meade, one thousand from Oak Hill, and two thousand from Antioch. In all, she has 4000 total telephone numbers.

She has 1000 numbers from Belle Maede. So there is a 1000/4000 = 25% probability that she calls a person from Belle Maede.

She has 1000 numbers from Oak Hill. So there is a 1000/4000 = 25% probability that she calls a person from Oak Hill.

She has 2000 numbers from Antioch. So there is a 2000/4000 = 50% probability that she calls a person from Antioch.

What is the probability that she gets a donation?

P = P_{1} + P_{2} + P_{3}

P_{1} is the probability the she randomsly choses a person from Belle Maede and receives a donation. So:

P_{1} = 0.6*0.25 = 0.15

P_{2} is the probability the she randomsly choses a person from Oak Hill and receives a donation. So:

P_{2} = 0.55*0.25 = 0.1375

P_{3} is the probability the she randomsly choses a person from Antioch and receives a donation. So:

P_{2} = 0.35*0.50 = 0.175

P = P_{1} + P_{2} + P_{3} = 0.15 + 0.1375 + 0.175 = 0.4625

There is a 46.25% probability that she receives a donation.

7 0
3 years ago
What is the next fraction in this sequence? Simplify your answer.​
ra1l [238]

another sequence is 19/480

3 0
3 years ago
Identify the type of function represented by f(x)= 3(1.5)*.
Brums [2.3K]

Answer: B

Step-by-step explanation: idc

4 0
2 years ago
Translate the sentence into an inequality.<br> The product of b and 6 is less than - 16.
Alla [95]

Answer:

Idk

Step-by-step explanation:

5 0
4 years ago
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