Answer:
20 inches
Step-by-step explanation:
To solve this problem, we need to cross multiply. Lets input the values (4, 6, 30) as shown below:
![\frac{4}{6} =\frac{x}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B6%7D%20%3D%5Cfrac%7Bx%7D%7B30%7D)
Next we cross multiply. We multiply 4 and 30, and we multiply 6 and <em>x</em>.
![4(30) = 120](https://tex.z-dn.net/?f=4%2830%29%20%3D%20120)
![6(x) = 6x](https://tex.z-dn.net/?f=6%28x%29%20%3D%206x)
Now, lets put the values above back into the equation:
![6x = 120](https://tex.z-dn.net/?f=6x%20%3D%20120)
Our last step is to divide 120 by 6 to get <em>x </em>by itself.
![x= \frac{120}{6}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B120%7D%7B6%7D)
![x=20](https://tex.z-dn.net/?f=x%3D20)
The answer is 20 inches.
It is a geometric sequence
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term
first term is 1
common ratio is 5
an=1(5)^(n-1)
that is the equatin/formulf for the nth term
if you want a summation formula of the sequence to the nth term
Sn=
![\frac{a1(1-r^{n})}{1-r}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba1%281-r%5E%7Bn%7D%29%7D%7B1-r%7D%20)
in this case
Sn=
![\frac{1(1-5^{n})}{1-5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%281-5%5E%7Bn%7D%29%7D%7B1-5%7D%20)
or
Sn=
![\frac{1-5^{n}}{-4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%5E%7Bn%7D%7D%7B-4%7D%20)
so in this case
up to 5th term
S5=
![\frac{1-5^{5}}{-4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%5E%7B5%7D%7D%7B-4%7D%20)
S5=
![\frac{1-3125}{-4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-3125%7D%7B-4%7D%20)
S5=
![\frac{-3124}{-4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3124%7D%7B-4%7D%20)
S5=781
anyway
![a_{n}=(5)^{n-1}](https://tex.z-dn.net/?f=%20a_%7Bn%7D%3D%285%29%5E%7Bn-1%7D%20)
is the nth term
and
Sn=
![\frac{1-5^{n}}{-4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%5E%7Bn%7D%7D%7B-4%7D%20)
is the summation up to the nth term
No it’s not, hope that helped
Answer:
It represents the height of the rock 3.2 seconds after it is propelled.
Step-by-step explanation:
The given function is;
.
means we are substituting
into the given function.
Since, the function represents the height of a rock T seconds after it's propelled by a slingshot,H(3.2) represents the height of the rock 3.2 seconds after it is propelled.
The correct answer therefore the last option.
We will calculate this by using ratios and because these two triangles are similar, which is very important.
Explanation:
We see that the FG = 9 corresponds to the VU = 21. Therefore, FH = 18 corresponds to the UW = x.
9 : 21 = 18 : x
x = (21*18)/9
x = 378/9
x = 42.
The correct answer is B. 42.