Answer:

Step-by-step explanation:
<u>Find the volume of separate cuboids</u> :
<u>Volume (top cuboid)</u> :
⇒ V = 2 x 6 x (10 - 2)
⇒ V = 12 x 8
⇒ V = 96 cm²
<u>Volume (lower cuboid)</u> :
⇒ V = 8 x 6 x 2
⇒ V = 48 x 2
⇒ V = 96 cm²
<u>Volume (prism)</u> :
⇒ 96 + 96
⇒ 192 cm²
Answer:
2.44
Step-by-step explanation:
Given: x³ + 2x² - 5ax - 7 and x³ + ax² - 12x + 6
Also, R1 + R2 = 6
in order to find the value of a:
Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6
Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).
Then,
R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6
R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10
Now,
R1 + R2 = 6
5a - 6 + 4a - 10 = 6
9a = 22
a=2.44
Therefore, Value of a is 2.44
Answer:

Step-by-step explanation:
If t is the number of days since Sofia took the medication of 10 mg, then the amount of medication in her system after t days will be
.
So, the concentration of medicine in blood decreases by a factor of one half every day.
If we count the number of days from today and Lexi takes 10 mg of the same medicine four days later then the amount of medicine left on her body after t days will be
. (Answer)
Answering pretty sure yes
Step-by-step explanation:
Answer:
y = -9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.