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zhuklara [117]
3 years ago
11

Which interval for the graphed function contams the local maximum?

Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0

Answer:

[0,2]

Step-by-step explanation:

A local maximum or local minimum is the point where the tangent drawn to it is parallel to the x axis.

The crest of a wave is local maximum and the trough of wave is local minimum.

Here, in the graph, there are 2 troughs and 1 crest.

The crest is at (1.55,10.8). So, the local maximum is at (1.55,10.8).

The interval of the local maximum is between x = 0 and x = 3.

So, the option that matches with the above interval is [0,2].

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Find the area and perimeter.<br> The area is ... and the perimeter is ...
Schach [20]

Answer:

Area: 6a^2

Perimeter: 12a^2

Step-by-step explanation:

To find the area of a triangle, use the formula A=1/2 b*h. The base is 3a^2 and the height is 4a^2.

A= 1/2 (3a^2)(4a^2)

A = 1/2 (12a^4)

A = 6a^4

To find the perimeter of the triangle, add each of the sides of the triangle. The third side, the hypotenuse, can be found using Pythagorean theorem.

a^2+b^2=c^2\\(3a^2)^2+(4a^2)^2 = c^2\\(9a^4)+(16a^4)=c^2\\25a^4=c^2\\5a^2=c

Now add each of the sides: 3a^2 + 4a^2 +5a^2 = 12a^2

7 0
3 years ago
–125 ÷ –5 = ? A. –23 B. –25 C. 23 D. 25
vovikov84 [41]

Answer:

The answer is 25

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If two students from this college are selected at random, what is the probability that they are both males?
igor_vitrenko [27]

Answer:

P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09

Step-by-step explanation:

Assuming this problem :"Only 30% of the students in a certain liberal arts college are males. If two students from this college are selected at random, what is the probability that they are both males?"

Previous concepts

An independent event is an "event that has no connection to another event's chances of happening ". For this case we can assume that if one person is male and if we select another one the probability that this one would be male or female is totally indepedent from the first selection.

When we have two independent events let's say A and B and we want to find the probability that both events occurs at the same time we can use the following formula:

P(A and B) = P(A)*P(B)

Solution to the problem

We can define some notation:

A_1 first person selected is a male

A_2 second person selected is male

On this case we want the probability that both would be males. And we can express this like this on math terms:

P(A_1 and A_2)

For this case we can assume that the two events are independent. And in order to find the probability for two events independents events we just need to multiply the probabilities of each one like this:

P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09

5 0
3 years ago
Kevin made a jewelry box with dimensions shown 5cm,10cm,15cm what is the value of the jewelry box?
zaharov [31]

Answer:

750

Step-by-step explanation:

10 times 5 times 15

3 0
3 years ago
You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time w
olasank [31]

Answer:

  28 ≤  x ≤40

Step-by-step explanation:

Arrange the data from the smallest to the largest

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Identify the median value

26, 27, 28,32, 32,<u> 33, 35</u>, 36, 38, 40,42,48

Getting the median

(33+35)/2   =  68/2  = 34 minutes

You want your time to be last year's median time with an absolute deviation of at most 6 minutes

This mean ±6 minutes, hence this will be 34 ± 6

34+6=40  and 34-6=28

The inequality will be    28 ≤  x ≤40

7 0
3 years ago
Read 2 more answers
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