Simplify: (8^2/3)^4
Answers
So, simplifies to 16, it can be solved according to the process of simplification process
To simplify the expression (8^(2/3))^4, we follow the order of operations, which is to evaluate the exponent inside the parentheses first, and then raise the result to the power of 4.
Step 1: Evaluate the exponent inside the parentheses.
means taking the cube root of 8 raised to the power of 2. The cube root of 8 is 2, so we have:
= 2
Step 2: Raise the result to the power of 4.
Now, we have:
= 2 * 2 * 2 * 2 = 16
So, simplifies to 16.
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Answer:
Step-by-step explanation:
hello :
(8^2/3)^4 = ∛(8²) = ∛(4^3) = 4 because : 8² = 4^3 =64
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Which two triangles are similar? A. A and B B. A and D C. B and C D. B and D
Answers
I hope I was of some help :)
Answers
x + x+5 + x+10 = 75
Combine like terms
3x + 15 = 75
subtract 15 from each side
3x = 60
divide each side by 3
x = 20
So the least number is 20
*Now let's check to make sure we are right...
20 + 25 + 30 = 75
75 = 75 True... It checks!
Answers
when the distances traveled are the same, they are at the same place (caught up)
the time that the cyclist travels in that distance is t
the times that the hiker travels in that distance is t+1 (1 hour head start)
if hiker rate=3mph
and cyclist=3+6=9mph, then find the distance
hikerdistance=hikderdistance
3(t+1)=9t
3t+3=9t
minus 3t
3=6t
divide both sides by 6
1/2=t
the answer is 1/2 hour after the cyclist left, or 1 and 1/2 hour after the hiker left
0.5 hours it will take the cyclist to catch up with the hiker and this can be determined by equating the distance.
Given :
- One hour after a hiker left a camp, a cyclist set out to catch up.
- The hiker traveled 3 miles per hour and the cyclist traveled 6 miles per hour faster.
Let the total distance be 'd'. Let the time taken by the hiker to travel distance 'd' be 't' then the time taken by the cyclist is (t+1).
The speed of the hiker is 3 miles per hour and the speed of the cyclist is (6 + 3 = 9) 9 miles per hour.
The distance travel by both hiker and cyclist is 'd'.
Hiker Distance = Cyclist Distance
3(t + 1) = 9t
3t + 3 = 9t
3 = 6t
t = 0.5 hour
0.5 hours it will take the cyclist to catch up with the hiker.
For more information, refer to the link given below:
Determine the area, in square meters, of the new rectangular garden.
Answers
The square area is expressed as:
A = a²,
where A is the area of the square, and a is the side of the square.
The rectangle area is expressed as:
A₁ = a₁ · b₁,
where A₁ is the area of the rectangle, and a₁ and b₁ are the sides of the rectangle.
After renovations, square garden becomes rectangular.
One side is doubled in length:
a₁ = 2a
The other side is decreased by three meters.
b₁ = a - 3
The new area is 25% than the original square garden:
A₁ = A + 25%A =
= A + 25/100·A
= A + 1/25·A
= a² + 1/25·a²
= a² + 0.25·a²
= 1.25·a²
If the starting equation is:
A₁ = a₁ · b₁
Thus, the equation is:
1.25a² = 2a·(a - 3)
1.25a² = 2a · a - 2a · 3
1.25a² = 2a² - 6a
Therefore, the equation that could be used to determine the length of a side of the original square garden is:
2a² - 6a = 1.25a²
Now, we will solve the equation:
2a² - 6a = 1.25a²
2a² - 1.25a² - 6a = 0
0.75a² - 6a = 0
⇒ a(0.75a - 6) = 0
From here, one of the multiplier must be zero - either a or (0.75a - 6). Since a could not be zero, (0.75a - 6) is:
0.75a - 6 = 0
0.75a = 6
a = 6 ÷ 0.75
a = 8
If the side of the square is 8, then the area of the rectangle is
A₁ = 1.25 · a²
A₁ = 1.25 ·8²
A₁ = 1.25 · 64
A₁ = 80
Therefore, the area of the new rectangle garden is 80 square meters.
Answers
if you need 4 bows
7/8 x 4 = 28/8 = 3 1/2 yards of ribbon needed
Answers
The round off will be 3nearestwhole number.
What is Rounding Numbers?
Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is lessaccurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
There are some basic rules that need to be followed for rounding numbers.
- We first need to know what our rounding digit is. This digit is the one that will ultimately be affected.
- After this, we need to check the digit to the right of this place which will decide the fate of the rounding digit.
- If the digit to the right is less than 5, we do not change the rounding digit. However, all the digits to the right of the rounding digit are changed to 0.
- If the digit to the right is 5 or more than 5, we increase the rounding digit by 1, and all the digits to the right of the rounding digit are changed to 0.
Given:
3 3/8
Solving the mixedfraction
= 27/8
=3.375
= 3 ( nearest whole number)
Now, to round off nearest whole number will be 3
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3 3/8 = 3.375
Rounding it to a whole number obtains
3.375 ≈ 3