The equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Complete table be,
Plum 14 42 6 48
Grape 7 21 3 24
Given, a ratio table
Plum 14 42 __ __
Grape 7 __ 3 24
we have to find the missing values and the equivalent ratios.
in the first ratio,
Plum : Grape = 14 : 7 = 2 : 1
Now, in the second ratio,
2 : 1 = 42 : __
x = 21
Now, in the third ratio,
2 : 1 = __ : 3
x = 6
Now, in the forth ratio,
2 : 1 = __ : 24
x = 48
So, the equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Hence, the equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Complete table be,
Plum 14 42 6 48
Grape 7 21 3 24
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We are given two functions:
f(n) = 11
g(n) = (3/4) ^(n-1)
I have rewritten the functions to their correct form. Notice that the term (n - 1) is the exponent of 3/4.
We are asked to combine the two functions to model a geometric sequence and solve for the 9th term.
The general formula for a geometric sequence is
an = a1 r^(n - 1)
From the given functions, we can set
f(n) = a1 = 11
and
g(n) = r^(n - 1) = (3/4)^(n - 1)
Substituting to the general formula of a geometric sequence, the result is
an = 11 (3/4)^(n - 1)
Solving for the 9th term
a9 = 11 (3/4)^(9 - 1)
a9 = 1.101
The answer is the second option.
Answer:
Standard Form
Step-by-step explanation:
Vertex form would be: (x-1)^2- 36
Answer:
1/2d+c^2-b = 21
Step-by-st ep explanation:
= 1/2(10) + 5^2 -9
= 5 + 25 - 9
= 30 - 9
= 21
Answer:
5. 40
Step-by-step explanation:
(14) +(4x+6) = 8x
14 + 4x+ 6 = 8x
20 = 8x - 4x
4x = 20
x = 5
RT = 8x
= 8 * 5....since x = 5
= 40