Answer:
y=2x+3
Step-by-step explanation:
the normal charge is 3 + 2 x number of days so this equation is the correct one.
Answer:
$11.50 is being split among the 8 friends
Step-by-step explanation:
76 + 16 = 92
92/8 = 11.5
Answer:
x = 750
Explanation:
25x = 30
1. Multiply 25 by 30
25 * 30 = 750
2. Divide 750 by 25
750/25 = 30
3. Divide 750 by 30
750/30 = 25
Therefore, x = 750
Answer:
a) W₁ = 78400 [J]
b)Wt = 82320 [J]
Step-by-step explanation:
a) W = ∫ f*dl general expression for work
If we have a chain with density of 10 Kg/m, distributed weight would be
9.8 m/s² * 10 kg = mg
Total length of th chain is 40 m, and the function of y at any time is
f(y) = (40 - y ) mg where ( 40 - y ) is te length of chain to be winded
At the beggining we have to wind 40 meters y = 0 at the end of the proccess y = 40 and there is nothing to wind then:
f(y) = mg* (40 - y )
W₁ = ∫f(y) * dy ⇒ W₁ = ∫₀⁴⁰ mg* (40 - y ) dy ⇒ W₁ = mg [ ∫₀⁴⁰ 40dy - ∫₀⁴⁰ ydy
W₁ = mg [ 40*y |₀⁴⁰ - 1/2 * y² |₀⁴⁰ ⇒ W₁ = mg* [ 40*40 - 1/2 (40)² ]
W₁ = mg * [1/2] W₁ = 10*9,8* ( 800 )
W₁ = 78400 [J]
b) Now we can calculate work to do if we have a 25 block and the chain is weightless
W₂ = ∫ mg* dy ⇒ W₂ = ∫₀⁴⁰ mg*dy ⇒ W₂ = mg y |₀⁴⁰
W₂ = mg* 40 = 10*9.8* 40
W₂ = 3920 [J]
Total work
Wt = W₁ + W₂ ⇒ Wt = 78400 + 3920
Wt = 82320 [J]
Answer:
6\sqrt[4]{x^3}[/tex]
Step-by-step explanation:
6x^3/4
is the same as
6 (x^3/4)
and the rule to change an exponent to a radical is power over root
so in this case, the power, 3 is over the root, 4
So it would be 6\sqrt[4]{x^3}[/tex]
