Answer:
f(2) = f(3) = 102 ft
Step-by-step explanation:
The height f at t = 2 seconds is given by:

The height f at t = 3 seconds is given by:

For both t =2 and t =3, the expression results in a height of 102 ft, therefore f(2) = f(3) = 102 ft.
Answer:
The numbers are 18 and 91
Step-by-step explanation:
You can translate the information to two equations:
<em>a value 5 times a smaller number is 1 less than a larger number</em>
5a = b - 1
<em>their difference is 73</em>
b - a = 73
Then you should merge one equation into the other, thereby eliminating one variable. You can do this any way you want. I choose to rewrite the first equation as:
b = 5a + 1
Now I can write 5a+1 in the second equation at the place where b was:
5a + 1 - a = 73
It is now an equation with only one variable, solve by simplifying
4a = 72
a = 18
Now b can be found using b = 5a + 1
b = 91
Answer:
22/7 is not pi
Step-by-step explanation:
22/7 is just a close approximation for pi, not pi itself.
If you put 22/7 into a calculator, you get:
3.142857...
While the number pi itself is:
3.1415926...
You can notice that pi is actually different than 22/7, even though the two numbers start out the same and are close to each other. Frequently in geometry, you use 22/7 as pi because it's so close and makes calculation easier.
Hope this helps!
Answer:
1 student
Step-by-step explanation:
From the Vann diagram attached below,
Let x represent the number of students who took 3 subjects.
Therefore,
100 = (42-9-11-x)+11+x+9+10+(35-10-11-x)+(30-9-10-x)+20
100 = 22-x+11+x+9+10+14-x+11-x+20
100 = 97-2x
2x = 100-97
2x = 3
x = 3/2.
x = 1.5
x = 1 student
My final answer is 7,376 degrees, increase.