Answer:0
Step-by-step explanation: took the quiz
42/3 = 14
I think the unit rate is $14.
I hope this helps! :D
Answer:
28,099.31-x= 11,135.21 => x=28,099.31 - 11,135.21 = 16964.1
Step-by-step explanation:
Answer:
There is an error in the application of the DMAS rule, The answer as per the DMAS rule is 75.
Step-by-step explanation:
There is an error in the implication of the DMAS rule of Mathematics.
DMAS rule determines the arrangement of mathematical functions to be performed in an expression where multiple functions are present.
The DMAS Rules describes the following arrangement of the mathematical functions.
1st Division
2nd Multiplication
3rd Addition
4th Subtraction
Applying the above rule the solution is as follow
62 + 3 + 5 x 2
First, we need to solve the Multiplication because there is no division
62 + 3 + 10
Now perform the addition function
65 + 10
75
(a) By the fundamental theorem of calculus,
<em>v(t)</em> = <em>v(0)</em> + ∫₀ᵗ <em>a(u)</em> d<em>u</em>
The particle starts at rest, so <em>v(0)</em> = 0. Computing the integral gives
<em>v(t)</em> = [2/3 <em>u</em> ³ + 2<em>u</em> ²]₀ᵗ = 2/3 <em>t</em> ³ + 2<em>t</em> ²
(b) Use the FTC again, but this time you want the distance, which means you need to integrate the <u>speed</u> of the particle, i.e. the absolute value of <em>v(t)</em>. Fortunately, for <em>t</em> ≥ 0, we have <em>v(t)</em> ≥ 0 and |<em>v(t)</em> | = <em>v(t)</em>, so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of
∫₀⁸ <em>v(u)</em> d<em>u</em> = ∫₀⁸ (2/3 <em>u</em> ³ + 2<em>u</em> ²) d<em>u</em> = [1/6 <em>u</em> ⁴ + 2/3 <em>u</em> ³]₀⁸ = 1024
