Answer:
0.22 per
Step-by-step explanation:
Answer:
B) A herd of lions whose numbers triple every decade.
Step-by-step explanation:
Situations that can be modeled by exponential functions:
A situation can be modeled by exponential functions when the change is a multiplication or a division, not a sum or subtractions.
In this question:
In option A, C and D the measures are a sum or subtractions, as the rate of change is always the same. So it rests option B as the answer, as tripling is multiplying by 3.
<u>Given</u>:
Given that in a game a player draws and replaces a card from a deck 2 times.
The possible outcomes and payouts are given.
We need to determine the expected value for someone playing the game.
<u>Expected value:</u>
The expected value for someone playing the game can be determined by
Simplifying the values, we have;
Dividing the terms, we get;
Adding, we have;
Thus, the expected value for someone playing the game is $8
Answer:
1.9 inches
Step-by-step explanation:
We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,
→ π × r² × h = 384
⇒ Substitute in 8 for 'r'
→ π × 8² × h = 384
⇒ Simplify
→ π × 64 × h = 384
⇒ Divide both sides by 64 to isolate π and h
→ π × h = 6
⇒ Divide both sides by π to isolate 'h' and find the value of the height
→ h = 1.9098593171
The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches
By comparing with a right triangle, we will see that the height of the tree is 62.12ft
<h3>
How tall is the tree?</h3>
We can compare the situation with a right triangle. Such that the hypotenuse measures 68 ft, and an angle measures 66°.
We want to get the height of the tree, which would be the opposite cathetus, then we can use the relation:
Sin(a) = (opposite cathetus)/hypotenuse.
Sin(66°) = H/68ft
Tan(66°)*68ft = H = 62.12ft
The height of the tree is 62.12ft
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
