Two students use different methods to solve this multiplication problem:

25⋅−1558

wyatt writes each number as a fraction and then multiplies.

2 5 2
• −15 = • =
5 8 5

abigail writes the mixed number as a sum and uses the distributive property.

2 5 2 5 2 2
• −15 = ( −15 + − ) = •
+ • =
+
5 8 5 8 5 5

wyatt's and abigail’s answers will be equal. write the answer as a mixed number in simplest form.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

i think the correct option is the second option.

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

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