Spencer is asked to factor the polynomial 256x^4y^2−y^2 completely over the integers. His work is shown below.

256x^4 y^2−y^2=y^2(256x^4−1)
y2(256x^4−1)=y^2(16x^2−1)(16x^2+1)< br />
Did Spencer factor the polynomial completely over the integers? Why or why not?

a. Spencer did factor the polynomial completely; he identified the GCF and applied the difference of squares method.
b. Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.
c. Spencer did not factor the polynomial completely; 16x^2+1 can be factored over the integers.
d. Spencer did factor the polynomial completely; he identified the GCF and applied the difference of cubes method.

)a smart phone has dimensions of 4.9 inches (height), 2.3 inches (width) and 8.0 millimeters (depth). what is the volume of the smart phone in cubic centimeters? (1 in = 2.54 cm)

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Which of the following transformations will always produce a congruent figure?