In this diagram, m∠1=53° and m∠2=62°. Select a response from each drop-down menu to correctly complete this sentence.

Based on the exterior angle theorem, the m∠4 =
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° because the sum of the
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is
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and ∠4 forms a linear pair with angle
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.

Franco wants to double the volume of the cone. what should he do?

What are the steps to solving the inequality 3b + 8 ≥ 14?

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