100,000,000+10,000,000+9,000,000+3
Hello! For this question, first, we have to find the area of the spherical container. The formula for finding the area of a sphere is 4/3πr³. We raise the radius to the 3rd power and multiply it by pi (3.14). The radius is 9 cm. 9³ is 729. There's that number. Now, we multiply 81 by 3.14 to get the total area of the square. 729 * 3.14 is 2,289.06. Now, multiply that by 4/3. 2,289.06/1 * 4/3 is 3,052.08. The volume of the sphere is 3,052.08 cubic centimeters. Which brings us to the next part. Now, we can find the price of the solution by multiplying the area by the price. 3,052.08 * 2.10 is 6,409.368 or 6,409.37 when rounded to the nearest cent. The total value of the solution in the container is $6,409.37.
Answer:
The domain of the function is the interval [0,2.23]
see the explanation
Step-by-step explanation:
Let
t ----> the time in seconds
h(t) ----> the height of the laptop in units
we have

we know that
When the laptop hits the ground, the value of h(t) is equal to zero
so
For h(t)=0

Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
---> is not a solution
therefore
The domain of the function is the interval [0,2.23]
All real numbers greater than or equal to 0 seconds and less than or equal to 2.23 seconds

Answer:
1/100.
Step-by-step explanation:
So, we can make the following deductions from the information given in the question or problem above.
[1]. "You and your neighbor attempt to use your cordless phones at the same time."
DEDUCTION: Two people are involved, that is you and your neighbor are both involved.
[2]. "Your phones independently select one of ten channels at random to connect to the base unit. "
DEDUCTION: Both cordless phones can choose one channels each which is random. The number of channels available is ten.
Therefore, the probability that both your phone and your neighbor phone pick the same channel can be calculated or determined as follows:
The probability that both your phone and your neighbor phone pick the same channel = probability that both your phone will pick one channel out of the ten channels × the probability that your neighbor phone pick one channel out of the ten channels.
The probability that both your phone and your neighbor phone pick the same channel = 1/10 × 1/10 = 1/100.
Therefore, The probability that both your phone and your neighbor phone pick the same channel = 1/100.
3(2x+4)= 2(4x-1)
6x+12=8x-2
6x-8x= -2-12
-2x=-14
X= 7
Solve for X by simplifying both sides of the equation, then isolating the variable.