1. 32 cents
2.im not sure
I believe the answer is 5. I multiplied 5 to -4 and that’s -20 and I’m guessing since slope-intercept form is y=Mx+b I’m thinking b=4 and the slope being 5 matches the output. -16=5(-4)+4
Answer: 64.29%
Step-by-step explanation:
Let the total earnings of the Lee family in May be x
Amount earned by Mr Lee in May = 60% of x = 0.6x
Amount earned by other family members in May = x - 0.6x (total earnings - Mr Lee's earnings) = 0.4x
Amount earned by Mr Lee in June = 20% more than what Mr Lee earned in May.
That is, amount earned by Mr Lee in June = 1.2 × 0.6x = 0.72x
Amount earned by other members of the family in June remains unchanged, that is = 0.4x
Total amount earned by the Lee family in June = 0.72x + 0.4x = 1.12x
Percentage of total earnings in June earned by Mr. Lee = (0.72x/1.12x) × 100% = 64.29%.
QED!
Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1
Step-by-step explanation:
Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.
Answer:
T = 47.1875°C
Step-by-step explanation:
Given:
Surrounding temp, Ts = 100°C
Initial Temperature ,T0= 20°C
Increase in temperature = 15°C
Final temperature, T = 20 + 15 = 35°C
Time, t = 9 seconds
Let's take Newton's law of cooling:

We'll solve for k

Divide both sides by -5


Let's now find the temperature of the ball after 18 seconds in boiling water.
Use the Newton's equation again:




T = 47.1875°C
Temperature of the ball after 18 seconds in boiling water is 47.1875°C