3 years ago

Write the following set using roster notation. Do not include repeats.

Mathematics

1 answer:

Annette [7]3 years ago

4 0

Answer:

Step-by-step explanation:C

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4. How fast was a driver going if the car left skid marks that were 32 feet long on dry concrete? (The coefficient of friction i

Monica [59]

Answer:

$v_{o} \approx 31.247\,mph$

Step-by-step explanation:

The deceleration experimented by the car is the product of kinetic coefficient of friction and gravitational constant:

$a = \mu_{k}\cdot g$

$a = (1.02)\cdot \left(32.174\,\frac{ft}{s^{2}} \right)$

$a = 32.817\,\frac{ft}{s^{2}}$

The initial speed is computed from the following kinematic expression:

$v^{2} = v_{o}^{2} - 2\cdot a \cdot \Delta s$

$v_{o} = \sqrt{v^{2}+2\cdot a\cdot \Delta s}$

$v_{o} = \sqrt{\left(0\,\frac{ft}{s} \right)^{2}+2\cdot \left(32.817\,\frac{ft}{s^{2}} \right)\cdot (32\,ft)}$

$v_{o}\approx 45.829\,\frac{ft}{s}$

$v_{o} \approx 31.247\,mph$

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3 years ago

22. f(x) is stretched horizontally by a factor of 2 and reflected across the x-axis. Which choice shows the correct representati

goblinko [34]

Answer:

A. -f(1/2 x)

Step-by-step explanation:

Reflextion about the x-axis is

f(x) -> -f(x)

and horizontal dilation is

f(x) -> f(-x/b) where b is the factor of dilation.

so the proper answwer is

A. -f(1/2 x)

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3 years ago

Read 2 more answers

Which equation has the solutions x=1+/- 5?

nikitadnepr [17]

Answer:

$x^{2} -2x-4=0$

Solving Steps

Use the quadratic formula

$x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}$

Multiply / Remove the parentheses / Evaluate

$x=\frac{2(+/-)\sqrt{4+16} }{2}$

Calculate

$x=\frac{2(+/-)\sqrt{20} }{2}$

Separate the solutions

$x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}$

Simplify

$x=1+\sqrt{5} \\x=1-\sqrt{5}$

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Pam’s Pizza Parlor offers six different toppings for pizza: pepperoni, sausage, meatballs, peppers, onions, and mushrooms. You w

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I would see 12 different combinations.

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