Answer:
87 points
Step-by-step explanation:
lets take "x" as the avg test scores of the past 6 tests
so
since their are 6 tests, we would represent the 6 tests as "6x"
to find average we need to add all numbers, and divide by the number of numbers
so since the final exam counts as two tests we need to add "99" twice
so
(6x+99+99)/8=90
multiply by "8" on bots sides and add 99 and 99 together
6x+198=720
subtract 198
6x=522
divide by 6
x=87
hope this helps
Answer:
See Explanation
Step-by-step explanation:
Given
The attached graph
Required
Point on the line
The options are not given. So, I will provide general answers.
To do this, we simply write out the coordinates that lie on the line.
Some of them are:
Answer:
your answer 8
Step-by-step explanation:
please give brainlyest
Let <em>V</em> be the volume of the tank. The inlet pipe fills the tank at a rate of
<em>V</em> / (5 hours) = 0.2<em>V</em> / hour
and the outlet pipe drains it at a rate of
<em>V</em> / (8 hours) = 0.125<em>V</em> / hour
With both valves open, the net rate of water entering the tank is
(0.2<em>V</em> - 0.125<em>V </em>) / hour = 0.075<em>V</em> / hour
If <em>t</em> is the time it takes for the tank to be full, then
(0.075<em>V</em> ) / hour • <em>t</em> = <em>V</em>
Solve for <em>t</em> :
<em>t</em> = <em>V</em> / ((0.075<em>V</em> ) / hour)
<em>t</em> = 1/0.075 hour
<em>t</em> ≈ 13.333 hours
Answer:
x = 0.343
Step-by-step explanation:
We want to solve:
5 - 3tan(3x) = 0
such that:
-π< x < π
where π = 3.14
then:
-3.14 < x < 3.14
Let's solve the equation:
5 - 3tan(3x) = 0
-3tan(3x) = -5
tan(3x) = -5/-3 = 5/3
Now we can use the inverse tan function, Atan(x).
Remember that:
Atan( tan(x) ) = tan( Atan(x)) = x
Then if we apply that function to both sides, we get:
Atan( tan(3x)) = Atan(5/3)
3x = Atan(5/3)
x = Atan(5/3)/3 = 0.343
