The expression of all the algebra as single rational exponent are; As written below.
<h3>How to Express Exponents?</h3>
1) We want to express ⁴√x³. This can be expressed as;
x^(3/4)
2) We want to express the exponent ¹/x⁻¹. This is expressed as a single rational exponent as; x
3) We want to have the given expression as a single rational exponent. The expression is; ¹⁰√(x⁵ · x⁴ · x²)
We add the exponents to get;
¹⁰√(x¹¹) = x^(¹¹/₁₀)
4) x^(¹/₃) * x^(¹/₃) * x^(¹/₃)
We just add the exponents to get;
x¹ = x
Read more about Exponents at; brainly.com/question/11761858
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Answer:
<h3>2kg = mass</h3>
Step-by-step explanation:
<h3>What is the mass?</h3>
Mass is a body of matter without definite shape.
Use the Newton's second law of motion formula.
Note: 
<u>Given:</u>
- Force = 10N
- Acceleration = 5m/s
First thing you do is divide.
10/5=2
= 2kg (mass)
Therefore, the final answer is 2kg (mass).
I hope this helps, let me know if you have any questions.
To learn more about the mass:
brainly.com/question/7580108
Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
Answer:
A fixed cost: Does not change with changes in the volume of activity within the relevant range
Step-by-step explanation:
Fixed Cost:
In economics, a fixed cost in a specified period of time does not change with respect to an increase or decrease in the production of goods or services. In contrast, the variable cost changes in proportion to changes in production of goods or services.
Examples of Fixed Cost:
Salaries, Rents, insurance payments, taxes, some utilities etc
You had the right idea using the Pythagorean theorem to solve for b.
Problem is for that triangle to work, the 5 and the 2√2 would have to switch places. The length of a leg cannot be larger than the length of the hypotenuse for it to truly be a right triangle.
Pythagorean theorem only works for the right triangles. Only way to "solve this problem would be to bring in complex numbers.
5² + b² = (2√2)²
25 + b² = 2²(√2)²
25 + b² = 4(2)
25 + b² = 8
b² = 8 - 25
b² = - 17
b = √-17
b= (√17i)
Then the problem with THIS is a measurement/distance cannot be negative... which goes against exactly what that complex number i is.
