A) x^5/6 ≠ 5√6, Because 5 is in numerator & 6 in denominator in exponential expression so it can be in direct expression.
It is False.
b) (16)^1/4 = 2.
It is False
c) a^2/7 + a^4/7 = a^2/7+4/7 = a^6/7
It is False.
d) Here, powers are not equivalent.
Again, It is False
e) (27x^6)^2/3 = 27^2/3 x^12/3
= 9x^4
It is True.
13) Here, expression would be: a^2/3
In short, Your Answer is Option B
14) ∛8x^6
= ∛8 x^6/3
= 2x²
In short, Your Answer would be Option C
Hope this helps!
R(7)=????
r(n)=0.009n s0 n=7
r(7)=0.009(7)
r(7)=0.063
Answer:
254 yds²
Step-by-step explanation:
There are 6 faces of the prism we need to calculate the area of for a rectangular prism.
The base and top of the prism measure 9x7 yards each, so there are two faces with an area of 63 yds² (9 x 7 = 63)
The sides of the prism measure 4x7 yards each, so there are two faces with an area of 28 yds² (4 x 7 = 28)
The front and back face of the prism measure 9x4 yards each, so there are two faces with an area of 36 yds² (9 x 4 = 36)
The total surface area is
2(63) + 2(28) + 2(36) = 254 yds²
1. 376.0 / 92 = ?
2. 376 / 93.01 = ?
So the question asks us which quotient will be greater. In plain English it is asking which of the two, ?, will be greater. Seeing how the question is asking for a logical answer we are not going to actually solve the problem. Instead we will use logic.
First let's do some examples, and explain more in-depth how division works.
A. 6/3 = 2
B. 6/2 = 3
In this case, B is greater than A.
Greater than being any number that is larger than another on a scale reading from left to right, so if you were to count out all the way to the number the one that comes first is lower in value than the one that comes second.
Division works like this: Say we have a full delicious pie. We want to divide it up into 12 pieces so all our friends can have some. What we're doing is simply finding a value that if multiplied by 12 would equal our 1 pie. If you instead divided it by 24 you would have even SMALLER pieces of pie.
A. 5/2
B. 5/3
You might not be able to answer this one, but say our pie is equal to 5. For A. imagine we take a pie and cut it in half. Now for B. imagine a pie and cut it into 3 equal sized pieces. Which one will have the bigger individual pieces? A. will!
Keep in mind that the individual size of the piece would be the quotient (the quotient just means the answer to a division problem).
Now to quickly dismiss the 376.0, When you add 0's to the DECIMAL you do not change the value.
If you did then, 0.0 wouldn't still be 0. Or 1.0 wouldn't still be 1. The .0 is just a place holder and signifies nothing. Don't get this confused with adding a zero to the end of a number, because that does change the value (except in the case of 0). 1 with an extra zero becomes 10, and so on.
So let's tackle this problem!
A. 376.0 / 92
B. 376 / 93.01
In the end the .0 is meaningless so it's the same as this:
A. 376 / 92
B. 376 / 93.01
All we are looking for is the dividend that is smaller. (A dividend being what is dividing a number. In the case of 4/2 the dividend is 2. 5/2, the dividend is 2. 6/3, the dividend is 3. So in other words the dividend is the number after the division symbol, or in this case the slash (they are the same)).
So let's see, which is smaller? 92, or 93.01.
Whichever is smaller is going to have a bigger slice of pie than the other one. So, 92. Is our answer.
Note that this reasoning worked, because the numerator (376) is the same on both division problems. If they differed we wouldn't be able to use the same logic (at least as easily as we did in this problem!).
The circumference can be obtained fairly easily by simply substituting the d in c = πd for the colony's given diameter of 12 mm. Performing that calculation using the approximation of π ≈ 3.14, we obtain a circumference of 12 x 3.14 = 37.68 mm.
To find the radius, remember how the diameter and radius of a circle are defined. The radius is a length extending from the center of a circle to a point on its circumference, and a diameter is a line extending from one point on the circle's circumference to an opposite point, passing through the circle's center along the way. The diameter can, in this way, be defined as twice the length of the radius, which means we can find the radius of a circle by taking half of its diameter. In this case, our diameter is 12 mm, so our radius would be 6 mm.
