Prompt: We recently completed a unit in math about transformations. Compare and contrast the three types of transformations: translations, reflections, and rotations.
Include the algebraic rules, whether each transformation preserves congruence and any examples of
real-world application.

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

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

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

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734

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step-by-step explanation:

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