I'm guessing you'd combine them. And the end equation would be
81x6y
The correct answer is
![a_n=-4(a_{n-1}), a_1=7](https://tex.z-dn.net/?f=a_n%3D-4%28a_%7Bn-1%7D%29%2C%20a_1%3D7)
The explicit formula is of the form
![a_n=a_1(r)^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%28r%29%5E%7Bn-1%7D)
,
where a₁ is the first term and r is the common ratio. Comparing this to our explicit form, we see that r = -4 and a₁ = 7.
The recursive formula is of the form
![a_n=a_{n-1}*r](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%2Ar)
; using r=-4 gives us
step 1 :
Because soccer ball is in the shape of sphere, we can use the formula of volume of a sphere to find volume of the soccer ball.
Write the formula to find volume of a sphere.
V = <span>4/3 · ∏r</span>³ ----- (1)
Step 2 :
To find the volume, we need the radius of the sphere. But, the diameter is given, that is 24 cm. So, find the radius.
r = diameter / 2
r = 24/2
r = 12
Step 3 :
Plug ∏ ≈ 3.14 and r = 12 in (1).
<span>V ≈ 4/3 </span>· 3.14 · 12³
Simplify.
<span>V ≈ 4/3 </span>· 3.14 · 1728
<span>V ≈ 7,234.6</span>
<span>Hence, the volume of the soccer ball is about 7,234.6 cubic cm. </span>
Answer:
The equation of the exponential function will be:
Step-by-step explanation:
The general exponential function is defined as
y = abˣ
Here,
a is the initial value and b is the growth factor
From the table, it is clear that the y-intercept is (0, 12). Note that the y-intercept can be determined by setting x=0 and solving for y.
here
at x=0, y=12
so a = 12
If we check the y-values, it is clear that every next value of y can be obtained by multiplying the previous y-value by 2.
In other words, the common multiplier = b = 2
Thus, the equation becomes
y = 12·(2)ˣ
Thus, the equation of the exponential function will be:
Answer:
16 servings
Step-by-step explanation:
12 divided by 3/4