Answer:
Linear equations are basically equations for just a straight line.
If you add all the gumballs together you get a total of 20200 gumballs now you just divide 5252 by the total number of 20200 to get the percent of 26% giving us the answer to what the percent of red there is in this container
(add all the number, divide the total number of reds by the total number of gumballs (5252 divided by 20200) which will give you the percent of red gumballs (26%)
Answer:
The volume of the observatory is 497.43 
Step-by-step explanation:
i) The diameter of the floor is 10 feet. The floor is circular and has a radius,
r =
= 5 feet.
Therefore the area of the circular floor of the observatory
=
= 3.14159 ×
= 78.54 
ii) The observatory is made up of two parts
a) 3 foot tall cylinder
∴ volume of cylinder =
× h
= 78.54 × 3
= 235.62 
b) hemisphere =
×
= 0.6667 × 78.54 × 5 = 261.81 
c) Therefore the total volume of the observatory is = a) + b)
= 235.62 + 261.81 = 497.43 
Answer:

Step-by-step explanation:
Which expression represents [⁵√(−21)]⁶ in rational exponent form?
Solution:
Rational numbers are numbers which can be expressed as fractions in the form a / b, where a, b are integers and b is not equal to zero.
A rational exponent is an exponent that is a fraction. For example √2 =
.
When expressing a number in rational exponent form, the numerator of the fractional exponent refers to a normal power, but the denominator refers to the root.
![[\sqrt[5]{(-21)}]^6 = (-21)^\frac{6}{5}](https://tex.z-dn.net/?f=%5B%5Csqrt%5B5%5D%7B%28-21%29%7D%5D%5E6%20%20%3D%20%28-21%29%5E%5Cfrac%7B6%7D%7B5%7D)
Treat the matrices on the right side of each equation like you would a constant.
Let 2<em>X</em> + <em>Y</em> = <em>A</em> and 3<em>X</em> - 4<em>Y</em> = <em>B</em>.
Then you can eliminate <em>Y</em> by taking the sum
4<em>A</em> + <em>B</em> = 4 (2<em>X</em> + <em>Y</em>) + (3<em>X</em> - 4<em>Y</em>) = 11<em>X</em>
==> <em>X</em> = (4<em>A</em> + <em>B</em>)/11
Similarly, you can eliminate <em>X</em> by using
-3<em>A</em> + 2<em>B</em> = -3 (2<em>X</em> + <em>Y</em>) + 2 (3<em>X</em> - 4<em>Y</em>) = -11<em>Y</em>
==> <em>Y</em> = (3<em>A</em> - 2<em>B</em>)/11
It follows that

Similarly, you would find

You can solve the second system in the same fashion. You would end up with
