F(x) = x(2 - x)
g(x) = 3x
Substitute 3x for x in the function f(x)
h(x) = f(x) <span>∘ g(x) = f(g(x)) = 3x(2 - 3x)
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Answer:
1440 yd³
1200 yd³
Step-by-step explanation:
A local aquarium purchased a new turtle tank for their giant turtle exhibit for their giant turtle exhibit.
By using the dimensions 15yd by 12yd by 8yd and the shape of the tank is cubooid
We can determine volume by using the formula i.e
V = (Length) × (Width) × (Height),
then the volume of the tank will be
V = 15 × 12 × 8 =
V=1440 yd³.
Now , by using dimensions 15 yd by 8 yd by 10 yd
The volume will be,
V = 15 × 8 × 10 = 1200yd³
To make it easier, you calculate the volume of the first aquarium.
1st aquarium:
V = L x W x H
V = 8 x 9 x 13
V = 72 x 13
V = 936 in.
Rate: 936 in./2 min.
Now that you've got the volume and rate of the first aquarium, you can find how many inches of the aquarium is filled within a minute, which is also known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2. 936 divided by 2 is 468 and 2 divided by 2 is 1.
So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.
2nd aquarium:
V = L x W x H
V = 21 x 29 x 30
V = 609 x 30
V 18,270 inches
Calculations:
Now, you divide 18,270 by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468 is about 39 (the answer wasn't exact, so I said "about").
2nd aquarium's rate:
18,270 in./39 min.
As a result, it'll take about 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :) If I didn't, I'm sorry. I tried. :(
Answer:
∠2 , ∠3 , ∠5 ,∠6 are exterior angles
Step-by-step explanation:
Given : Figure.
To find : Which of the following are exterior angles.
Solution : We have given a figure with angle 1 ,2, 3,4,5,6.
Exterior angle : An angle which lies outside the closed figure.
We can see ∠1 and ∠4 area lies in closed figure.
But all other angle ∠2 , ∠3 , ∠5 ,∠6 are lies outside so, these are the exterior angles.
Therefore, ∠2 , ∠3 , ∠5 ,∠6 are exterior angles
Answer:
Step-by-step explanation:
the 3rd one
