21.6 ÷ 0.4 = 54 times for green
21.6 ÷ 0.6 = 36 times for purple
Together, 90 beads. Separately, 54 green and 36 purple.
Answer:
The Amount tom has to pay is $196.65 therefore, Option b is correct
Step-by-step explanation:
Tom recieves 43% of total monthly premium
That means out of 100% he is getting 43% he has to pay (100%-43%)= 57% of $345.00
The amount Tom has to pay each month is 
it will become 
Therefore,The Amount tom has to pay is $196.65 that is option b is correct
Let's say that Sagan's age is x and Orion is x + 6 (since Sagan is younger by 6 years).
We know that Orion's age + Sagan's age is 24, so x + x + 6 is 24
2x = 18
x = 9
That means that Sagan is 9, and Orion is 9+6 or 15.
Answer:
a. ∫ xSinx dx
iii. integration by parts
u =x and dv= sinx
b. ∫ x⁴/(1+x³). dx
ii. neither
Long division is an option here before integration is done
c. ∫ x⁴. e^x³. dx
i. substitution
where u = x⁵
d. ∫x⁴ cos(x⁵). dx
i. substitution
where u = x⁵
e. ∫1/√9x+1 .dx
i. substitution
where u = 9x+1
a)
Answer: 0.91 m
Explanation:
We know that,
P.E. = m g h
Where,
P.E = Potential energy
m = Mass of the object
g = acceleration due to gravity (9.8 m/s²)
It is given that, m = 1.5 kg
P.E. = 13.44 J
⇒ 13.44 = 1.5 kg × 9.8 m/s² × h
⇒ h = 0.91 m
Hence, apple sits om 0.91 m tall counter.
b)
Answer: 216 J
Explanation:
P.E. = m g h
Weight, mg = 120 N ( given)
height, h = 1.8 m ( given)
The energy possessed by the suitcase is due to virtue of its position (gravitational potential energy)
P.E. = 120 N × 1.8 m = 216 J
Hence, the energy possessed by the suitcase sitting on the counter is 216 J.
