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In February 2021 1,664,479 persons took the Covid vaccine in Asia the distribution of Pfizer vaccine had a 496 and a 144. Find Z if X =366

Consider the polynomial f(x) = x

5 − 34x

3 + 29x

2 + 212x − 300.

(a) Find upperbounds and lowerbounds for the real roots of f(x).

(b) What are the possible integral roots of f(x)?

(c) Illustrate synthetic division by showing that one of the integers obtained in (b)

is/isn’t a root of f(x).

(d) Illustrate Newton’s method by showing that one of the integers obtained in (b)

is/isn’t a root of f(x)


Children's height are normal with =36 inches and =2 inches So a child 39.5 inches tall has a standardized height of?

A mixture of unknown salts containing a sulfate salt has been weighed to be 1.50 g. After dissolving the solution in 500 mL of water, heating it, and adding hot barium chloride (40.0 mL, 0.500 M); the precipitate has been collected after succeeding digestion, and the mass was found to be 0.325 g. What is the percentage (by mass) of sulfur in the mixture? 


A hovercraft passes point A moving West with a speed of 15 m s−1.




The hovercraft immediately begins to accelerate at a steady rate of 0.13 m s−2 North.




What is the magnitude of the velocity of the hovercraft 200 s after it passes point A? (in m s−1)




Give your answer to 2 s.f.




(note: a hovercraft rides on a cushion of air and so does not contact the ground and experiences no frictional forces)





Calculate the mole fraction of a solution containing 2.6 grams of sodium sulfate in 20 grams of water


How can you distinguish a raw egg from a hard-boiled one by spinning each one on a table?


A hollow cylinder and a solid cylinder have the same mass and the same diameter. They are released at the same time from rest from the top of an incline. Which will reach the bottom first?


Let S be the set of all polynomial with real coefficient ,if f, g€S, define f~g if f¹=g¹ where f¹ is the derivative of f, show that ~ is an equivalence relation. Describe the equivalence classes of S

Step by step solution on how to find the slope of the tangent line of the given function f below.



1. f(x)=2x+5


2. f(x)=x²+1


3. f(x)=x²-1

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