We have that
<span>A).Formulate a recursive sequence modeling the number of grams after n hours.
a(n) = 0.75*a(n-1)
</span>B) .Use the model to calculate the amount of contaminants after the third hour of the experiment.
<span> for the first hour
</span>a(1) = 0.75*a(0)
<span>a0=400 g
a1=(3/4)400 = 300 g
for the second hour
</span>a(2) = 0.75*a(1)
<span>a1=300 g
a2=(3/4)300 = 900/4 g
for the third hour
</span>a(3) = 0.75*a(2)
<span>a2=900/4 g
(3/4)900/4 = 2700/16 = 168.75 g
the answer is </span>168.75 g
Answer:
x = 4.5 cm.
Step-by-step explanation:
There are two rectangles in the compound shape ABCDEF.
The area of the small rectangle is x (x - 4) sq. cm.
Again the area of the large rectangle is (x - 2) (2x + x) = 3x (x - 2) sq. cm.
Therefore, the total are is x (x - 4) + 3x (x - 2) = 36 {Given}
⇒ 
⇒ 
⇒ (Shown)
Now, solving this equation we get
⇒ 
⇒ x = 4.5 and x = -2
Since x i.e. length of a side can not be negative. So, x = 4.5 cm. (Answer)
Where are the answer choices to select from
Answer:
Step-by-step explanation:
Because of the isosceles triangle theorem, in the triangle on the left, the topo angle and the base angle on the right are congruent. That base angle is congruent to the upper left angle in the triangle on the right (the one that's upside down) because they are vertical and vertical angles are congruent. Tis upside down triangle also is isosceles, so that angle that is vertical is congruent to the angle that is vertical to x. So let's find out what that is because the angle that is vertical to x is equal to x (and 2 out of the 3 angles in both traingles!) Go back to the triangle on the left. The exterior angle there is 120, and that makes it supplementary to the right next to it on the insde of the triangle. 180 - 120 = 60. And by the Triangle Angle-Sum Theorem, knowing that the other 2 angles are congruent, 180 - 60 = 120 and 120 divided in half makes those other 2 angles 60 as well. That means that the angle vertical to x is 60 and x = 60 as well. Both of these triangles are equilateral and equiangular.
36 is the y intercept, the value for the function when x = 0. In this function the x's are the times and the y's are the temperatures. so in this scenerio, when x = 0, the time would be midnight
