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SVETLANKA909090 [29]
3 years ago
5

How many years are in century? 1=100 2=75 3=1000

Mathematics
2 answers:
disa [49]3 years ago
5 0
There are 100 years in a century
Evgesh-ka [11]3 years ago
4 0
A century is equal to 100 years.
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-4(-4 + x) &gt; 56<br> Can someone help with this pleasee. WILL GIVE BRAINLIEST, RATING, AND HEART
Jobisdone [24]

Answer:

x< -10

Step-by-step explanation:

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7 0
3 years ago
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M
DIA [1.3K]

Answer:

89

Step-by-step explanation:

number has to fall in between eighty eight and ninety

3 0
2 years ago
Suppose there are 200 lockers and 200 students. Kayla reasons that since there are 10
Rus_ich [418]

Answer:

Kayla's reasoning is not correct.

Step-by-step explanation:

The locker problem is as follows:

Imagine you are at a school that has student lockers. There are 200 lockers, all shut and unlocked, and 200 students. Suppose the first student goes along the row and opens every locker. The second student then goes along and shuts every other locker beginning with number 2. The third student changes the state of every third locker beginning with number 3. (If the locker is open the student shuts it, and if the locker is closed the student opens it). The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the 200 students have followed the pattern with the 200 lockers. At the end, which lockers will be open and which will be closed? Why?

Solution:

So from the information we know that the first student goes along the row and opens every locker.

Then the second student shuts every other locker, i.e. locker numbers 2, 4, 6, 8, 10, ..., 196, 198 and 200.

Then the third students changes the state of every third locker, i.e. he/she closes an open locker and opens a closed locker.

So the open lockers are: 1, 5, 6, 12,...

Then the fourth students changes the state of every fourth locker.

So the open lockers are: 1, 4, 5, 6, 8,....

So, on we will observe that the open lockers have a perfect square number such as, 1, 4, 9, 16,....

Consider that the pattern is as follows:

Student 1 opens the locker, Student 2 closes it, Student 3 opens it, person 4 Student and so on.

This is because the square numbers always have an odd number of factors, which leads them to be open at the end.

Take any locker number, 40, for example. Its state (open or closed) is changed for every student whose number in line is a factor of the locker number.

Student      Locker 40 status

     1                    Open

     2                   Close

     4                   Open

     5                   Close

     8                   Open

     10                  Close

    20                  Open

    40                  Close

Like all other lockers numbered with non-square numbers, it ends up closed after all the students have gone through the line because it has an even number of factors.

Consider the locker number 16:

Student      Locker 16 status

     1                    Open

     2                   Close

     4                   Open

     8                   Close

     16                  Open

Thus, we can conclude that all the doors with square numbers on them will remain open because all square numbers have an odd number of factors and the doors with non-square numbers on them will remain close because they have even number of factors.

There will be a total of 14 lockers open.

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 and 196

So, if there are 10 lockers open in the first 100 lockers there must be only 4 other lockers opened in the next 100.

5 0
2 years ago
ANSWER THIS MATH QUESTION
shusha [124]

Answer:

<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>

Step-by-step explanation:

Using the formula of derivative, it can be easily shown that, \frac{d f(x)}{dx} = 2 where f(x) = x^{2}.

Here we need to show that as per the instructions in the given table.

Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = (1 + 0.01)^{2} - 1^{2} = 0.0201.

In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.

Hence, dividing Δy by Δx, we get, \frac{0.0201}{0.01} = 2.01.

Let's examine this taking a smaller value.

If we take Δx = 0.001, then Δy = 1.001^{2} - 1^{2} =  0.002001.

Thus, \frac{0.002001}{0.001} = 2.001.

The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.

5 0
2 years ago
Two lines intersect in more than one point.
statuscvo [17]
That would be false because parallel lines don't intersect. But i can if one is straight and the other is Curved
7 0
3 years ago
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