Answer:
(B). between 2.5 and 3.0 and between 4.0 and 4.5.
Step-by-step explanation:
According to the Question,
- If the value of the function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersects the x-axis at its zeroes.
From the given table it is clear that the value of function are
x | f(x) | Sign
2.0 | 2.8 | Positive
2.5 | 1.1 | Positive
3.0 | –0.8 | Negative
3.5 | –1.2 | Negative
4.0 | –0.3 | Negative
4.5 | 0.7 | Positive
- The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5. It means the graph of function must intersect the x-axis in intervals 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.
Therefore, the correct option is B.
Use the identity cos^2 (a/2) = 1/2 (1 + cos a) so
cos^ 2 22.5 = cos^2 (45/2) = 1/2 ( 1 + cos 45) = 1/2(1 + sqrt2/ 2)4 = 1/2 + sqrt2/4
cos 22.5 = sqrt ( 1/2 + sqrt2/4) Answer
23 dozens of thousands is nothing but: 23 x 12 x 1,000
So 23 dozens of thousands can be written as:
276,000
2.76 x 10^5
200,000 + 70,000 + 6,000
Answer: 22j
Explanation:
1) From the graph you can calculate the vector v as folllows:
Translation of the extreme (-5,0) to the origin (0,0) implies add 5 units to - 5.
Then, add 5 units to the x-coordinate of the other extreme: 7 + 5 = 12; and keep the y-coordinate, which is 2.
Therefore, the coordinates of the vector v are (12,2)
2) Now you can find the vector v - 4u applying the operations to the coordinates of the two vectors:
v - 4u = (12,2) - 4(3, -5) = (12,2) - (12,-20) = (12 - 12, 2 + 20) = (0,22)
3) Changing the notation in terms to i, j; that is 0i + 22j = 22j
Answer:
4000 is size of a crowd walking in a charity fundraising March.
Step-by-step explanation:
Given:
Dimensions of rectangular space 10 feet by 12000 feet
So we can say that,
Length = 1200 ft
Width = 10 ft
Now we will calculate the area of rectangular space which is given by
Hence Area will be = 
Now we know that 40 people occupy a rectangle measuring 10 feet by 12 feet.
Length = 12 ft
Width = 10 ft
Area = 
It says that 40 people are occupied in 120 
So how many people will be there in 12000
By using unitary method we get,
Number of people = 
Size of a crowd walking in a charity fundraising March is 4000.
