A=1/2 9+20×15
1/2. 29×15
217.5
Answer:
Option d
Step-by-step explanation:
If the graph of the function 
represents the transformations made to the graph of 
then, by definition:
If 
then the graph is compressed vertically by a factor c.
If 
then the graph is stretched vertically by a factor c.
If 
then the graph is reflected on the x axis.
If 
the graph moves vertically upwards.
If 
the graph moves vertically down
In this problem we have the function 
and our parent function is 
therefore it is true that 
and 
Therefore the graph of 
is not stretched vertically and is not reflected. however as then the graph moves vertically 9 units down. <u><em>Observe the image</em></u>
The answer is <em>"vertical translation down 9 units"</em>
Hi there!
The correct answer is the first option - an x intercept of the graph is (0,3). If you take a look at the graph, you'll see that one line crosses the x axis at (0,3). Meaning that, this is one x axis.
Hope this helps!! :)
Answer:
2a + 30
Step-by-step explanation:
break it down so it is 4(a+5)
then work out -2(a-5)
so 4 x a then 4 x 5 which gives 4a + 20
then -2 x a then -2 x -5 which gives -2a + 10
then when you have 4a + 20 -2a + 10
do 4a - 2a which is 2a
do 20 + 10 which is 30
so the answer comes to 2a + 30
if anything doesnt seem right just comment and i will correct
hope this helps :)
Answer:
A) A(t) = 4500*π - 1600*t
B) A(4) = 7730 in³
C) t = 8,8 sec
Step-by-step explanation:
The volume of the sphere is:
d max = 30 r max = 15 in
V(s) = (4/3)*π*r³ V(s) = (4/3)*π* (15)³
V(s) = 4500*π
A) Amount of air needed to fill the ball A(t)
A(t) = Total max. volume of the sphere - rate of flux of air * time
A(t) = 4500*π - 1600*t in³
B) After 4 minutes
A(4) = 4500*π - 6400
A(4) = 14130 - 6400
A(4) = 7730 in³
C) A(t) = 4500*π - 1600*t
when A(t) = 0 the ball got its maximum volume then:
4500*π - 1600*t = 0
t = 14130/1600
t = 8,8 sec
