Given 𝑐𝑜𝑠(𝑎)=35,𝑎 in quadrant IV and 𝑠𝑖𝑛(𝐵)=-35 in quadrant lII. Find the pxact value of 𝑠𝑖𝑛(𝑎+𝐵)

Bailey’s rectangular dog pen for his Irish setter must have an area of 400 square feet. Also, the length must be 40 feet longer than the width. Find the dimensions of the pen. The width of the pen is ◻ feet. (Simplify your answer. Type an exact answer, using radicals as needed.) The length of the pen is ◻ feet.  (Simplify your answer. Type an exact answer, using radicals as needed.)

Let. 𝑃=(𝑥,𝑦) be a point on the graph of 𝑦=𝑥. Express the distance, 𝑑, from 𝑃 to (4,0) as a function of the point’s 𝑥-coordinate. 𝑑= ◻ (Type a simplified expression.)

Billy currently has $500 in an account that earns 12% APR, compounded monthly. Assuming he doesn’t withdraw any of the funds, how much will his balance be in 6 years?

Find the quadratic function that 𝑦=𝑓(𝑥) that has the vertex (0,0) and whose graph passes through the point (3,18). Write the function in standard form.

Part III The time 𝑡 it takes me to drive a distance of 𝑑 miles is given by the coordinates ( 𝑡, d), where time is in minutes. Given the following relation, determine the following: 𝑓={(2,4),(4,6),(7,6),(8,9),(12,15)} Does the relation represent a function? How do you know? Evaluate 𝑓(7). What does this mean in context of the problem? For what value(s) of 𝑡 is 𝑓(𝑡)=6 ? What does this mean in context of the problem? What is the domain and range?

What is the readability statistics for GCP and AWS policy? Why is it important to have a certain readability score?

suppose that a personal computer system contains choices petaining to memory size (4 sizes), hard disc size (3 sizes), monitor size (2 sizes), and printer type (2 types, the number of different “systems” can be computed from

Exercise 4.7.3 Suppose the island is 1𝑚𝑖 from shore, and the distance from the cabin to the point on the shore closest to the island is 15𝑚𝑖. Suppose a visitor swims at the rate of 2.5𝑚𝑝ℎ and runs at a rate of 6𝑚𝑝ℎ. Let 𝑥 denote the distance the visitor will run before swimming, and find a function for the time it takes the visitor to get from the cabin to the island. 𝑇(𝑥)=

Substance A has a density of 5𝑔𝑐𝑚3 and substance 𝐵 has a density of 8𝑔𝑐𝑚3. In order to obtain equal volumes of these two substances, what must be the ratio of the mass of 𝐴 to the mass of 𝐵 ?