The zeros of the function f(x) =(x+2) to the second power minus 5

Answers

Answer 1
Answer: (x+2)^2-5=0\n (x+2)^2=5\n x+2=-\sqrt5 \vee x+2=\sqrt5\n x=-2-\sqrt5 \vee x=-2+\sqrt5

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The inverse of a function is a set of ordered-pair numbers in which the range set is interchanged with the domain set. a. True
b. False

Answers

true, because it is reflected across the y=x line

Answer:

True

Step-by-step explanation:

A snail crawls at a pace of 7 cm/min (centimeters per minute). What is the snail's pace in feet per second?

Answers


(7 cm/minute) x (1 minute / 60 seconds) x (1 foot / 30.48 cm)  =

  (7 x 1 x 1) / (60 x 30.48)  (foot/second)  = 

                      0.00383 feet/sec  (rounded)

Final answer:

To convert the snail's pace from 7 cm/min to feet per second, divide by 60 to get cm/s, then divide by 30.48 to convert to feet resulting in approximately 0.00383 ft/sec.

Explanation:

The student has asked how to convert a snail's pace from centimeters per minute to feet per second. First, we need to know the conversion factors: there are 2.54 centimeters in an inch and 12 inches in a foot. Therefore, there are 30.48 centimeters in a foot (12 inches × 2.54 cm/inch).

To convert from centimeters per minute to feet per second, we follow these steps:

  1. Convert the speed to centimeters per second by dividing by 60, since there are 60 seconds in a minute.
  2. 7 cm/min ÷ 60 sec/min = 0.1167 cm/sec
  3. Convert centimeters to feet by dividing by the number of centimeters in a foot.
  4. 0.1167 cm/sec ÷ 30.48 cm/ft = 0.00383 ft/sec

So, the snail's pace in feet per second is approximately 0.00383 ft/sec.

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Ryan earned $376 by working for 4 days if he earned the same amount each day how much could he earn working 5 days

Answers

the correct answer is 469. figure it out.
376 devided by 4 = 94
so 376 + 94 = 469
378 / 4 =94x5=470 There You Go

An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and the height is 6 inches, what is the volume of vanilla ice cream in the cone? (round to nearest tenth)

Answers

volume of cone=(1/3)hpir^2

d/2=r
d=2
d/2=2/2=1=r
h=6

V=(1/3)6pi1^2
V=2pi in^3 is volume

ratio of 2:1

2+1=3
2pi=3 units
divide both sides by 3
2/3pi=1 unit

vanila=2 units
times 2/3pi by 2
4/3pi
aprox pi=3.141592
 4.188
round
4.2 in^3 of vanilla
An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and the height is 6 inches, what is the volume of vanilla ice cream in the cone? (round to nearest tenth) 
----
Total volume = pi*r^2*h = pi*1^2*6 = 6pi in^2
---------------------
Equation:
2x + x = 6pi

3x = 6pi
x = 2pi (chocolate volume)
2x = 4pi (vanilla volume)

In which situation would you opt for a car lease?A. You don't like to drive, and would prefer the services of a driver.
B. You want to buy a car, and keep it for a long period of time.
C. You like to change cars frequently without the hassles of selling and trading them.

Answers

There are several reasons why a person may opt for a car lease. The main reason is that a person may like to change frequently without the hassles of selling and trading them.

A bus on a regular schedule takes 3 1/4 hours to reach its destination. The express bus takes 2 1/2 hours to make the same trip. How much travel time can be saved by taking the express? A. 5 3/4 hours
B. 2 hours
C. 3/4 hour
D. 1 1/4 hours

Answers

Time taken by a regular bus to reach its destination = 3 1/4 hours
                                                                                   = 13/4 hours
Time taken by the express bus to make the same trip = 2 1/2 hours
                                                                                       = 5/2 hours
Time that can be saved by taking the express bus = (13/4) - (5/2) hours
                                                                                 = (13 - 10)/4 hours
                                                                                 = 3/4 hours
So 3/4 hours can be saved by taking the express bus rather than the regular bus. The correct option among all the options given in the question is option "C". I hope the procedure is simple enough for you to understand.

Taking the express bus saves 3/4 hour of travel time compared to the regular bus.

To find the travel time saved by taking the express bus, we need to subtract the travel time of the express bus from the travel time of the regular bus.

Regular bus travel time: 3 1/4 hours

Express bus travel time: 2 1/2 hours

To perform the subtraction, we need to convert both times to the same denominator:

3 1/4 = 13/4 hours

2 1/2 = 5/2 hours

Now, subtract the two times:

13/4 - 5/2 = 13/4 - 10/4 = 3/4

Therefore, taking the express bus saves 3/4 hour of travel time.

The answer is C. 3/4 hour.

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