Answer:
12
Step-by-step explanation:
collected can=18pound
total can to collect=42
collected can per week=2
now,
42-18 =24
so, remaining cans to collect is 24pound
and,
24/2
=12
so, Rufus have to collect for 12 weeks for 42pound of cans in total
You might have to do the quadratic formula
(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:
sinθ = 
Step-by-step explanation:
By applying Pythagoras theorem in the given triangle,
Hypotenuse² = (Leg 1)² + (Leg 2)²
= (24)² + 7²
Hypotenuse = √625 = 25
By applying sine rule in the given triangle,
sinθ = 
Since, measure of opposite side = 24
Measure of hypotenuse = 25
Therefore, sinθ = will be the answer.
Answer:
15.71 metros cúbicos de aceite transportará el depósito del camión.
Step-by-step explanation:
Un camión transporta aceite de oliva en un deposito con forma de cilindro de 1 m de radio y 5 m de altura.
Para calcular la cantidad de aceite que transportará se debe calcular el volumen del depósito, siendo con forma de cilindro. El volumen de dicha figura es calculada como V=π*r²*h, donde r es el radio y h es la altura.
En este caso, el volumen del depósito cilíndrico es:
V=π*( 1 m)²*5 m
Resolviendo:
V=15,71 m³
<u><em>15.71 metros cúbicos de aceite transportará el depósito del camión.</em></u>
