Answer: The value of
is 36.
Step-by-step explanation:
Given expression: ![6(2b-4)](https://tex.z-dn.net/?f=6%282b-4%29)
To find the value of
at b= 5, we need to substitute the b=5 in the expression, we get
![6(2(5)-4)\\=6(10-4).......[\text{solve parentheses}]\\=6(6)\\=6\times6=36](https://tex.z-dn.net/?f=6%282%285%29-4%29%5C%5C%3D6%2810-4%29.......%5B%5Ctext%7Bsolve%20parentheses%7D%5D%5C%5C%3D6%286%29%5C%5C%3D6%5Ctimes6%3D36)
![\\\Rightarrow6(2(5)-4)=36](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow6%282%285%29-4%29%3D36)
Therefore, the value of
is 36, when b=5.
Answer:
πr²= 12.56
r²=12.56/3.14 = 4
r= 2
therefore , diameter = 2r = 2×2= 4 mm
Answer:
5/2
Step-by-step explanation:
The 5^-3 and 5^6 cancel out to be 5^3. Then the 5^3 cancels out with the 5^2 in the denominator and leaves you with just a 5. The 2^2 makes the 2^3 in the denominator just 2. So, you are left with 5/2! Hope this helps.
Answer:
The volume of the toy is ![V=5.23\ ft^3](https://tex.z-dn.net/?f=V%3D5.23%5C%20ft%5E3)
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula
![V=\frac{2}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
In this problem, the wide of the toy is equal to the diameter of the hemisphere
so
![D=2\ ft](https://tex.z-dn.net/?f=D%3D2%5C%20ft)
----> the radius is half the diameter
substitute
![V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20%281%29%5E%7B3%7D%3D%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%5C%20ft%5E3)
step 2
Find the volume of the cone
The volume of the cone is given by
![V=\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
we know that
The radius of the cone is the same that the radius of the hemisphere
so
![r=1\ ft](https://tex.z-dn.net/?f=r%3D1%5C%20ft)
The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy
![h=4-1=3\ ft](https://tex.z-dn.net/?f=h%3D4-1%3D3%5C%20ft)
substitute the given values
![V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%281%29%5E%7B2%7D%283%29%3D%5Cpi%5C%20ft%5E3)
step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so
![V=(\frac{2}{3} \pi+\pi)\ ft^3](https://tex.z-dn.net/?f=V%3D%28%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%2B%5Cpi%29%5C%20ft%5E3)
![V=(\frac{5}{3}\pi)\ ft^3](https://tex.z-dn.net/?f=V%3D%28%5Cfrac%7B5%7D%7B3%7D%5Cpi%29%5C%20ft%5E3)
assume
![\pi=3.14](https://tex.z-dn.net/?f=%5Cpi%3D3.14)
![V=\frac{5}{3}(3.14)=5.23\ ft^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B5%7D%7B3%7D%283.14%29%3D5.23%5C%20ft%5E3)
Answer:
Exponential Growth
Step-by-step explanation: