complete question:
The volume of the sphere is 500/3 π cubic units. What is the value of x?
x = radius
Answer:
x = 5 units
Step-by-step explanation:
The volume for a sphere can be represented as follows
volume = 4/3πr³
volume = 500/3 π
x = radius
volume = 4/3πx³
500/3 π = 4/3 × π × x³
multiply both sides by 3/4
500/3 × π × 3/4 = π × x³
125π = πx³
divide both sides by π
x³ = 125π/π
x³ = 125
cube root both sides
x³ = ∛125
x = 5 units
Answer:
Y= 3x-7
Step-by-step explanation:
Since the line is parallel , the slope is same i.e. 3 .
now the equation should be y= Mx + b where m is the slope and c is the y-intercept
plugging the value of m=3 and ( 3,2) into the equation
2= 3(3) + c
2= 9+ c
c= -7
hence the equation of the line is y=3x-7
2x2 + 1 + <span> x2 – 7
= 3x2 - 6
answer is </span><span>C. 3x2 – 6</span>
<h2>
Hello!</h2>
The answer is:
The total height of the 17-story building is 74.29 meters.
<h2>
Why?</h2>
This a unit convertion problem. We know that there is a 17-story building and the height of each story, we need to convert the units and then, calculate the total height.
We need to use the following convertion factors:
![1meter=100cm](https://tex.z-dn.net/?f=1meter%3D100cm)
![1decimeter(dm)=10cm](https://tex.z-dn.net/?f=1decimeter%28dm%29%3D10cm)
Now, converting the given units we have:
Meters to centimeters:
![1meter=100cm](https://tex.z-dn.net/?f=1meter%3D100cm)
![4*1meter=4*100cm](https://tex.z-dn.net/?f=4%2A1meter%3D4%2A100cm)
![4m=400cm](https://tex.z-dn.net/?f=4m%3D400cm)
Decimeters to centimeters:
![1decimeter(dm)=10cm](https://tex.z-dn.net/?f=1decimeter%28dm%29%3D10cm)
![2*1decimeter(dm)=2*10cm](https://tex.z-dn.net/?f=2%2A1decimeter%28dm%29%3D2%2A10cm)
![2dm=20cm](https://tex.z-dn.net/?f=2dm%3D20cm)
So, we know that one story measures 4 meters, 2 decimeters (dm) and 17 centimeters (cm), and if we want to calculate the total height of the 17-story building, we need to use the following equation:
![TotalHeight=17*(HeightDimension)](https://tex.z-dn.net/?f=TotalHeight%3D17%2A%28HeightDimension%29)
![TotalHeight=17*(400cm+20cm+17cm)=17*(437cm)=7429cm](https://tex.z-dn.net/?f=TotalHeight%3D17%2A%28400cm%2B20cm%2B17cm%29%3D17%2A%28437cm%29%3D7429cm)
Now,
Converting from centimeters to meters, we have:
![7429cm=7429cm*\frac{1m}{100cm}=74.29m](https://tex.z-dn.net/?f=7429cm%3D7429cm%2A%5Cfrac%7B1m%7D%7B100cm%7D%3D74.29m)
Hence, we have that the total height of the 17-story building is 74.29 meters.
Have a nice day!
1) last number times 4 and subtract 1
2) last number times2 and add 2
3) you figure out