Answer:
25061.91
Step-by-step explanation:
So here we have to Subtract;
25342 - 280.09 = 25061.91
Answer:
-21
Step-by-step explanation:
When a=6 and x=-3 to find -a+5x, substitute the values:
-(6)+5(-3)
Remove parenthese through multiplication:
⇒ -6+(-15)
Same signs add and keep the sign:
⇒-21
Answer:
5.333 \pi
Step-by-step explanation:
Given is a function exponential as

The region bounded by the above curve, y =0 , x=4 is rotated about x axis.
The intersection of curve with x axis is at x=0
The limits for x are 0 and 4
The volume when rotated through x axis is found by

Here a = 0 and b =4
volume = 
=
Answer:
HC = 1
Step-by-step explanation:
AC = HC +AH = HC +(HC+2) = 2·HC +2
The altitude divides the triangle into similar triangles, so the ratio of hypotenuse to short side is the same for all. That is ...
BC/HC = AC/BC
2/HC = (2HC +2)/2
4 = 2(HC)(HC +1) . . . . . cross multiply
0 = HC² +HC -2 . . . . . . divide by 2, subtract 2
0 = (HC -1)(HC +2) . . . . factor. Solutions are those values of HC that make the factors be zero.
The useful solution is ...
HC = 1
Options in 3rd and 4th questions are wrong!. Hope it helps :)