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Please explain the following quote and explain to what extent it should be embraced:

“[Modern] Liberalism is, I think, resurgent. One reason is that more and more people are so painfully aware of the alternative.”

a. -15, v≠4

b. 15, v≠4

c. -15v/v-4, v≠4

d. 15v/v-4, v≠4

1. What is the measure of angle ∠P, to the nearest degree, in a triangle with side lengths of p=15cm,q=19 cm, and r=22 cm?

2. The rational expression 2x^2+x-3/2x^2+2x-4 can be simplified to the form ax+b/ax+c where a, b, and c represent integers. What are the values of a, b, and c, respectively.

1. The point (-4,-6) lies on the terminal arm of ∠c, in standard position. The exact value of cosC is

a. -2√13/13

b. -2√5/5

c. -3√13/13

d. -3√5/5

2. What are the solutions to cosθ= -½,0≤θ<360°?

a. 60° and 120°

b. 60 and 240°

c. 120° and 240°

d. 240° and 300°

The speed at which a tsunami can travelled is modelled by the formula S=356√d, Where S is the speed in kilometers per hour, and d is the average depth of the water in kilometres. Determine the depth of water, to the nearest thousandth of a kilometre, of a Tsunami travelling at 130 km/h.

a. 0.133 km

b. 0.134 km

c. 4 059.024 km

d. 4 059.025 km

1. Express (^3√15x^4)/(^3√3x) in simplest form

a. 3x^3√5

b. (3x^3√5x)/(^3√3)

c. (x^2^3√5)/3

d. x^3√5

2. Determine the possible values, to the nearest degree, of an angle, θ, in standard position, such that cosθ=⅖, 0°<θ≤360°

a.66° and 294°

b. 66° and 114°

c. 114° and 246°

d. 246° and 294°

3. How many triangles can be constructed given the dimensions a=12 inches, b=10 inches, and right triangle A= 145°

a. 0

b. 1

c. 2

d. There is not enough information to determine how many triangles are possible

1. Solve 4x^2-6x-1=0

a. x= (-3-±√13)/4

b. x= (-3-±√-20)/4

c. x= (3-±√13)/4

d. There are no real roots

2. The number of distinct zeros for the equation 2d^2+5d-8=0 is/are

a. 0

b. 1

c. 2

d. 3

3. Express (√3)/(-1-√5) + (√6)/-1-√5) in simplest form

a. (√3+√6)/(-1-√5)

b. (√3-√15+√6-√30)/4

c. 3/(-1-√5)

d. (√52)/4

There are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row, and so on. The last row has 52 seats in it

a. How many rows of seats are in the concert hall?

b. What is the total number of seats in the concert hall?

a.What height will the ball bounce back to after the eighth bounce? Round to nearest tenth of a metre

b. What is the total vertical distance travelled by the ball if it bounces indefinitely? Round to nearest metre

c. What assumptions are made to answer part a and b?

7. An advantage of fluorescence microscopy over straining technology is that

A. florescence microscopy can be used with any light microscope

B. florescence microscopy can be used with live specimans

C. florescence microscopy can be used with an electron microscope

D. florescence microscopy is less expensive and easier to use

8. Which microscope can show a detailed view of the surface of a speciman?

A. light microscope

B. confocal microscope

C. scanning electron microscope

D. transmission electron microscope

9. The maximum image size that the human eye can see is 0.1mm. What is the minimum magnification required to make an object that is 10 µm visible?

A. 1x

B.10x

C. 100x

D. 1000x

i. Louis Pasteur

ii. Robert Brown

iii. Ancient Greeks

iv. Antonio van leeuwenhoek

v. Robert Hooke

vi. Hans and Zacharias Jensen

vii. Robert Virchow

viii. M.J. Schleiden and T.S. Schwan

___a. used a three-lens system

___b. provided strong evidence disputing spontaneous generation

___c. developed a two-lens system

___d. proposed cell theory

___e. identified the nucleus and it's importance in cells

___f. extended the cell theory to include that cells only come from pre-existing cells

Please answer the following 3 questions

1. A speciman is viewed with a compount light microscope with the 40x objective lens in place and a 10x eyepiece lens. What is the total magnification of the speciman?

A. 4x

B. 10x

C. 40x

D. 400x

2. mark observes a speciman under the medium-power objective lens of a microscope and estimated that it takes up two-thirds of the field of view. If the medium-power field diameter is 1.2mm, what is the length of the speciman in micrometres?

A. 0.4 µm

B. 1.2 µm

C. 800 µm

D. 1200 µm

3. A microscope has a low-power magnification of 200x and a high-power magnification of 1600x. If the low-power field diameter is 1.2 mm, calculate the high-power field diameter in micrometres (µm) Show your work.

The expression x^2-4^2 is a difference of squares, so it can be factored as x2-4^2=(x+2)(x-2)

A.3(3x+1)(x+2)

B. 3(3x+2)(x+1)

C.6(x+2)(x+1)

D.(6x+3)(x+2)

A.11

B. 22

C. 121

D.484

Write your answer using 3 significant digits.