Hugh's baseball bat has a length of 33 inches. He wants to know if it will fit completely inside the box shown.

Will the baseball bat fit completely in the box? Explain your reasoning.

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

false, it is 3

-35* 3 = -105

during a tunnel construction project, engineers used explosives to excavate partway into a mountain. but due to constraints and environmental concerns, they later introduced a tunnel boring machine (tbm) to excavate the rest of the tunnel. the length and of the completed tunnel (in feet) is based on the number of days since the tbm started working. the length can be calculated using the equation y = 25x + 225. what does the y-intercept represent in this scenario?