Answer:
- so 8 cubed (8 × 8 × 8) in standard form is: 512
- so 8 cubed (8 × 8 × 8) in exponential form is: 8³
Step-by-step explanation:
As we know that
The cube of any given number is that number times itself.
For example, 8 cubed, denoted by 8³ is equal to 8 × 8 × 8.
An exponent basically indicates the number of times we must multiply the base number. For example, to compute 8³, we multiply 3 three times (8×8×8).
- so 8 cubed (8 × 8 × 8) in standard form is: 512
- so 8 cubed (8 × 8 × 8) in exponential form is: 8³
The Greatest Common Factor of 32 and 48 is 16.
First, get the factors of both numbers:
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The common factors are: 1, 2, 4, 8, 16
Among the common factors, the GCF is 16.
Answer: 34,381
Step-by-step explanation:
You have to subtract 52,835 by the sum 87,216 which will get you the answer of 34,381
Answer:
Quantity of soap left after Juan washes 8 regular loads and 5 heavy loads of laundry 
pounds.
Step-by-step explanation:
Number of scoop of soap used to wash a regular load of laundry = One 0.15 pound scoop
Number of scoops of soap used to wash heavy work clothes = Two 0.15 pound scoops
As Juan washes 8 regular loads and 5 heavy loads of laundry,
Total quantity of soap used = 
pounds
As a box of laundry soap weighed 15.6 pounds,
quantity of soap left after Juan washes 8 regular loads and 5 heavy loads of laundry 
pounds.
9514 1404 393
Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
