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Mathematics, 15.12.2020 21:40 ayrias

What is the 45th term in the sequence? 5, 8, 11,

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Answer from: Quest
It would be 18 cm
ansver
Answer from: Quest

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

7^{x}=77

- the base is 7 and the exponent is x

- insert ㏑ in both sides

ln(7^{x})=ln(77)

- use the rule ln(a^{n})= nln(a)

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

x=\frac{ln(77)}{ln(7)}=2.23

* the solution of the equation is 2.23 to the nearest 2 decimal places

ansver
Answer from: Quest

angle efh= angle egh

ansver
Answer from: Quest

391.6 is the correct answer

(very easy) find the surface area of this figure. round to the nearest tenth.

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