The answer is x=11
4x-30=14
You add 30 to each side=4x=44
Then you divide 44 by 4 which=11
Answer:
She type <u>75 words</u> in 1 minute.
Step-by-step explanation:
Given:
Lolo typed 1,125 words in 15 minutes.
Let w represent the number of words typed each minute.
Now, to find the number of words she type in 1 minute if Lolo typed the same number of words each minute.
So, we solve it by using cross multiplication method:
<u><em>As 1125 words is equivalent to 15 minutes.</em></u>
<u><em>Thus, w number of words equivalent to 1 minutes</em></u>.
By cross multiplying we get:
⇒ 
<em>Dividing both sides by 15 we get:</em>
⇒ 
⇒ 
Therefore, she type 75 words in 1 minute.
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]
The ionic compound produced would be Aluminum Oxide or Al2O3.
- The answer is C
