Combine like terms.
10x+6=24+9x
Put variables to one side and the constants to another.
x=-18
There is only one solution.
Hope this helps!
(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
Answer:
8
Step-by-step explanation:
by mutiplying the inequality
Answer:
a-14.4 MPG, B-15 MPG c Mr. Walters
Step-by-step explanation:
Answer:
49.5 ounces the flower
3 pounds, 1.5 ounces
Step-by-step explanation:
Given that :
24 cupcakes 9 ounces of flower
Number of ounces of flower required for 132 cupcakes will be x
Using cross multiplication method :
24 cupcakes = 9 ounces
132 cupcakes = x ounces
Cross multiply :
24 * x = 132 * 9
24x = 1188
divide both sides by 24 to isolate x
x = 49.5
Hence, 49.5 ounces the flower is required for 132 cupcakes
To express in pounds :
1 pound = 16 ounces
49.5 ounces = 3 pounds 1.5 ounces
