Answer:
she can make 5 necklaces
Step-by-step explanation:
75-7=68
68/13=5.2
Answer:
The amplitude is 3 and the period is 10π/9.
Step-by-step explanation:
The standard cosine function is in the form:
Where |<em>a</em>| is the amplitude, 2π/<em>b</em> is the period, <em>c</em> is the phase shift, and <em>d </em>is the vertical shift.
We have the function:
We can rewrite this as:
Therefore, <em>a</em> = 3, <em>b</em> = 9/5, <em>c</em> = 0, and <em>d</em> = 0.
Hence, our amplitude is |3| = 3.
Our period will be:
Answer:
10.022222 (2 repeats indefinitely)
Step-by-step explanation:
First exercise:
a. The first prime numbers are 2,3,5,7,11,... So, the greatest prime interger between 4 and 9 is 7. A = 7.
b. Since the number line's growing direction is rightwards, going to the left means to decrease. So, point E is 4 less than point A, i.e. 7-4 = 3. E = 3.
c. The additive inverse of a number is another number such that . So, we're looking form a number such that , and thus O = - 3.
d. This point looks a bit ambiguous to me honestly. We know that IO = 2, which I presume means that the points I and O are two units apart, but we're not told if I is two units left or right with respect to O. To solve this issue, I'm assuming that IO implies that I sits before O, and so I is two units left with respect to O. As we said in point a., two units left means two less, so we have I = -3-2 = -5. At this point, point L is halfway between -5 and -3, and thus L = - 4.
e. The sum of the coordinates of A and E is 7 + 3 = 10. Half that sum is 5, so M = 5.
In the attached image, you can see the number line filled with the points asked by the exercise.
Second exercise:
All the requests can be written as an equation in which we look for the values of x. Below you find the equation and the solutions.
A little side note: I've honestly never met the expression "subtract A to B", but always "subtract A from B". I assumed they mean the same thing, but if anybody thinks I'm wrong please let me know! (I'm not a native speaker, so I can only refer to the math I met during my studies).