The post For any nonzero real number a, the __________ of a is 1 over 8 . integer whole number multiplicative inverse absolute value appeared first on EduHawks.com.

]]>**Answer:**

**C.$ 623**

**Step-by-step explanation:**

We are given that Sophia is saving money for a new bicycle.

The bicycle will cost atleast $623.

Sophia makes $8.22 per hour.

We have to find the inequality that could be used to find the number of hours Sophia needs to work to make enough money to buy a new bicycle.

Let Sophia works h hours to make enough money to buy a new bicycle.

Sophia makes money per hour =$8.22

Total money made by Sophia in h hours =

According to question

**$623**

**Hence, option C is true.**

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]]>The post Ten times the square of a non-zero number is equal to sixty times the number. What is the number? appeared first on EduHawks.com.

]]>Ten times the square of a non-zero number is equal to sixty times the number. What is the number?

The post Ten times the square of a non-zero number is equal to sixty times the number. What is the number? appeared first on EduHawks.com.

]]>The post Thirty times the square of a non-zero number is equal to 8 times the number. What is the number appeared first on EduHawks.com.

]]>**1) Perpedicular lines form a 90° angle between them.**

**2) The product of the slopes of two any perpendicular lines is – 1.**

So, from that basic knowledge you can analyze each option:

**a.Lines s and t have slopes that are opposite reciprocals.**

**TRUE. Tha comes the number 2 basic condition for the perpendicular lines.**

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

**c.The product of the slopes of s and t is equal to -1**

**TRUE: that is one of the basic statements that you need to know and handle.**

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

**g.The intersection of s and t forms right angle.**

**TRUE: right angle = 90°.**

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

**So, the right choices are a, c and g.**

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]]>The post The circuit to the right is constructed using 9 identical batteries and 9 identical resistors. the lower left corner of the circuit is grounded. determine whether the current through each resistor is zero or non-zero. appeared first on EduHawks.com.

]]>**Answer:**

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

**Explanation:**

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t² (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

The post The circuit to the right is constructed using 9 identical batteries and 9 identical resistors. the lower left corner of the circuit is grounded. determine whether the current through each resistor is zero or non-zero. appeared first on EduHawks.com.

]]>The post Determine the range of the following function: y=√x A. All numbers B. Non-positive numbers C. Non-negative numbers D. Non-zero numbers appeared first on EduHawks.com.

]]>Determine the range of the following function: y=√x A. All numbers B. Non-positive numbers C. Non-negative numbers D. Non-zero numbers

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]]>The post In a certain computer game, the computer can make 1 of 4 moves, which it chooses randomly. According to the game manual, the probability it will make 1 of the moves is 0.5, the probability it will make 2 of the remaining moves is 0.25, and the probability it will make the last move is unknown, but nonzero. Why can the player immediately know that these probabilities are incorrect? appeared first on EduHawks.com.

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You cannot make negative cookies so (c(f) and f)≥0. And since cookies must (or at least should be in the real world) integers, f must be a multiple of 1/24. (otherwise you’d have fractional cookies). What is a “reasonable” upper bound for c(f) is very subjective, obviously we cannot make an infinite amount of cookies 🙂

Because of this, the designer of this question, did so quite poorly. Now simplistically we could say that the domain would be [0,+oo) and the range [0,+oo), But this would be ignoring all of the above. In reality the domain would be [0, 1/24, 2/24, etc n/24] where n/24 was some real limitation on the amount of flour (and time) that you could possibly have and the range would be [0,1,2,3,…n] where n would be the result of the the limited domain values. (unless we were making fractional cookies :P)

Sorry, I could not resist, I cringe when I see subjective math problems. The range and domain I put is what I would call “reasonable” range and domain. I wonder what the designer of the question thinks is reasonable….

The post In a certain computer game, the computer can make 1 of 4 moves, which it chooses randomly. According to the game manual, the probability it will make 1 of the moves is 0.5, the probability it will make 2 of the remaining moves is 0.25, and the probability it will make the last move is unknown, but nonzero. Why can the player immediately know that these probabilities are incorrect? appeared first on EduHawks.com.

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