Math - Others

Logarithms Solutions

Write as a single logarithm. Simplify. 2 log₃ u- log₃ v =

Statistics

Statistics Solutions

Many people believe that the average number of Facebook friends is 130. The population standard deviation is 38.2. A random sample of 50 high school students in a particular county revealed that the average number of Facebook friends was 162. At a 0.05, is there sufficient evidence to conclude that the mean number of friends is lesser than 130? What is the null and alternative hypothesis? (A )Ho: μ=162; Ha: μ> 162 (B)Ho: μ=162; Ha: μ<162 (C)Ho: μ=130; Ha: μ>130 (D)Ho: μ=130; Ha: μ<130

Math

Find the equation of the function that is finally graphed after the following transformations are applied to the graph of y = 3ˣ (write your resulting transformation in every step as well as your final result): a) Shift down 2 units b) Shift the result of a) right 3 units c) Reflect the result of b) about x-axis d) Reflect the result of c) about y-axis

Algebra

Sequences & Series Solutions

Why are fashion and clothing forms of non - verbal communicaton ?

Why are fashion and clothing forms of non-verbal communication?

Basic Math Solutions

Let p be an odd prime number. Which integers a have the property that the inverse of a is congruent to a modulo p? Study the case p =7 and p = 11 first. Reorder the factors in (p-1)! in such a way that all pairs of inverses are written adjacent to one another. Compute (p-1)! modulo p after this reordering. What is (p-1)! mod p.

Physics

Wave Optics Solutions

If laser light is reflected from each of the items below, a diffraction pattern appears. The pattern arises because all these devices contain parallel tracks of information that act as a reflection diffraction grating. Which device results in diffraction maxima that are farther apart?

Geometry

Heights & Distances Solutions

Find the distance along an arc on the surface of the earth that subtends a central angle of 9 minutes (1 minute =1/60 degree). The radius of the earth is 3960 miles. Round to the thousandths. Your answer is _________ miles.

Calculus

Application of derivatives Solutions

Find the center and radius of the circle given by the equation: x^2 + y^2 + 6x – 4y - 12 = 0.

The cost of a can of Coca Cola in 1960 was $0.10. The function that models the cost of a Coca Cola can by year is C(t) = 0.10e⁰∙⁰⁵⁷⁶ᵗ , where t is the number of years since 1960. In what year was it expected that a can of Coca Cola will cost $1.00?

a) Convert 225⁰ to radians b) Convert 11π/6 to degrees

Trigonometry Solutions

Find the exact value of each of the remaining trigonometric functions of θ. Rationalize denominators when applicable. sec θ = -7, given that sin θ > 0.

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