Answer: The required values are
x = 12 units, ST = 60 units and SU = 120 units.
Step-by-step explanation: Given that T is the midpoint of SU, where
ST = 5x and TU = 3x + 24.
We are to find the values of x, ST and SU.
Since T is the midpoint of SU, so we get

So, the value of x is 12.
Therefore,

and

Thus, the required values are
x = 12 units, ST = 60 units and SU = 120 units.
Answer: The probability that the number made up of the first two digits on the clock is less than 25 is 1.
Step-by-step explanation:
The probability of an event is a number which describe the chances of the event will happen.
We know that on digital clock, the first two digits always show as number less that 25.
Therefore, the event that the number made up of the first two digits on the clock is less than 25 is certain. [Since An event that is certain to happen has a probability of 1.]
Hence, the probability that the number made up of the first two digits on the clock is less than 25 is 1.
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Answer:
8 OR -8 OR Both
Step-by-step explanation:
-2 x 4 = -8
-8 x -8 x -8 = -64
Square root = 8 OR -8
1 to the 9th power = 1
-8 / 1 = -8
8/1 = 8
Hope that helps!
Answer: the computer towers will be worth $10521 after 8 years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the computer towers after t years.
t represents the number of years.
P represents the initial value of the computer towers.
r represents rate of decay.
From the information given,
P = $30900
r = 12.6% = 12.6/100 = 0.126
Therefore, the function that models the value of the computer towers after (t)years from now is
A = 30900(1 - 0.126)^t
A = 30900(0.874)^t
Therefore, when t = 8 years, then
A = 30900(0.874)^8
A = $10521