Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.
Step-by-step explanation:
You need to use the formula for calculate the volume of a sphere. This is:
Where "r" is the radius.
<u>Volume of the grapefruit</u>
You know that its diameter is 16 centimeters.
Since the radius is half the diameter, you get that its volume is:
<u> Volume of the lime</u>
According to the information given in the exercise, the diameter of the lime is 8 centimeters.
As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:
In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:
A fraction that means the same as 2/3 is 4/6.
To find this, you can simply multiple both the numerator and denominator (top and bottom) by any number as long as it's the same number for both top and bottom.
In this case, we used 2 as the number, and multipled it to the top and bottom of 2/3, to get 4/6.
I hope this helps!
Answer:
f(-4) = 72, f(x + 5) = 3x² + 23x + 36
Step-by-step explanation:
f(-4) = 3(-4)² - 7(-4) - 4
= 48 - (-28) - 4
f(-4) = 72
f(x + 5) = 3(x + 5)² - 7(x + 5) - 4
= 3(x + 5)(x + 5) - 7(x + 5) - 4
= 3(x² + 10x + 25) - 7(x + 5) - 4
= 3x² + 30x + 75 - 7x - 35 - 4
f(x + 5) = 3x² + 23x + 36
The magnitude of WX is 
⇒ c
Step-by-step explanation:
The magnitude of XY (its length) where,
is IXYI = 
∵ W = (-2 , 8 , -3)
∵ X = (1 , 4 , -1)
- To find the magnitude of WX use the formula above
∴ 
= -2 and 
= 1
∴ 
= 8 and 
= 4
∴ 
= -3 and ![z_{2]](https://tex.z-dn.net/?f=z_%7B2%5D)
= -1
- Substitute these values in the rule above
∵ IWXI = 
∴ IWXI =
The magnitude of WX is
Learn more:
You can learn more about the position of an object in brainly.com/question/10940255
#LearnwithBrainly
Step-by-step explanation:
38.43 - 1.29x
Variable x represents the number of songs purchased
Not sure why this question didn't save the answer I just wrote (I'm new to the app)
