Answer:
a₆ = 96
Step-by-step explanation:
assuming you mean find a₆
using the recursive rule and a₁ = 3 , then
a₂ 2a₁ = 2 × 3 = 6
a₃ = 2a₂ = 2 × 6 = 12
a₄ = 2a₃ = 2 × 12 = 24
a₅ = 2a₄ = 2 × 24 = 48
a₆ = 2a₅ = 2 × 48 = 96
480 bucks:D :DmD there you go
Answer:
A. 8.66 feet
B. 12.59 feet
C. Area of triangle when
is 129.9 square feet. Area of triangle when
is 188.85 square feet. Increasing the angle
increases the area.
Step-by-step explanation:
The equation that models the height of the triangle is:

Where,
is the height, and
is the angle
A.
When
, the height is:

B. When ![\theta=40[/tex\ , the height is:[tex]y=15Tan40\\y=12.59](https://tex.z-dn.net/?f=%5Ctheta%3D40%5B%2Ftex%5C%20%2C%20the%20%3Cstrong%3Eheight%3C%2Fstrong%3E%20is%3A%3C%2Fp%3E%3Cp%3E%5Btex%5Dy%3D15Tan40%5C%5Cy%3D12.59)
C. <em>To find the area of the isosceles triangular shaped garden, we use the </em><em>formula for the area of the triangle</em><em>:</em>

Where,
- A is the area
- b is the base, which is given as 30 feet, and
- h is the height [8.66 feet when the angle is 30 & 12.59 when angle is 40]
<u>When Vance uses
, the area is</u>:
square feet
<u>When Vance uses
, the area is</u>:
square feet
So we see that when the angle is more, the area is also more.
Answer:
178/7
Step-by-step explanation:
4x-7+3x+9=180
4x+3x-7+9=180
7x-7+9=180
7x+2=180
7x=180-2
7x=178
x=178/7
Using an exponential function, it is found that:
- For Country A, the doubling time is of 43 years.
- For Country B, the growth rate is of 1.9% per year.
<h3>What is the exponential function for population growth?</h3>
The exponential function for population growth is given as follows:

In which:
- P(t) is the population after t years.
- P(0) is the initial population.
- k is the exponential growth rate, as a decimal.
For Country A, we have that k = 0.016. The doubling time is t for which P(t) = 2P(0), hence:






t = 43 years.
For Country B, P(36) = 2P(0), hence we have to solve for k to find the growth rate.






k = 0.019.
For Country B, the growth rate is of 1.9% per year.
More can be learned about exponential functions at brainly.com/question/25537936
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