Answer:
-1333/1000
Step-by-step explanation:
Evaluate tan(sin^-1(-4/5)).
First we need to evaluate the expression in parenthesis
sin^-1(-4/5)
= sin^-1(-0.8)
= -53.13
SUbstitute the given value into the original expression as shown;
tan(sin^-1(-4/5))
= tan(-53.13)
= -1.333
= -1333/1000
Hence the required answer is -1333/1000
The exponent cannot be
added to the product because it stated in the law of exponents. An
exponent is simply the shorthand in multiplying your base number. Exponent
will give how many times you will multiply the base numbers. It is not
possible that you add both exponents in the given situation because they
have different value together.
=> 12^3 x 11^3
If we solve this equation following the rule of exponent will get the
correct answer:
=> (12 x 12 x 12) x (11 x 11 x 11)
=> 1728 X 1331
=> the answer is 2 299 968
But if we add the exponent, the answer would be wrong
=> 12^3 x 11^3
=> 132^6
=> 5289852801024 which is wrong.
What are all the numbers on the spinner
Answer:
$1161
Step-by-step explanation:
21.5% of 5400 is 1161.
Answer:
a) 
b) 
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is 
, where 
is the rate of salt entering and 
is the rate of salt going outside.
Then we have, 
, and
So we obtain. 
, then
, and using the integrating factor 
, therefore 
, we get 
, after integrating both sides 
, therefore 
, to find 
we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions 
, so 
Finally we can write an expression for the amount of salt in the tank at any time t, it is
b) The tank will overflow due Rin>Rout, at a rate of 
, due we have 500 L to overflow 
, so we can evualuate the expression of a) 
, is the salt concentration when the tank overflows
