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Arada [10]
3 years ago
7

Given a real number x and a positive integer k, determine the number of multiplications used to find x2k starting with x and suc

cessively squaring (to find x2, x4, and so on). Is this a more efficient way to find x2k than by multiplying x by itself the appropriate number of times?

Mathematics
1 answer:
Alex3 years ago
8 0

Answer: It is a more efficient way to find x2k than by multiplying x by itself the appropriate number of times.

Step-by-step explanation: Please find the attached file for the solution

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Amma hikes 2and3/4 miles of nature trail in 1 hour and 15 minutes. How many miles does Amman hike per hour?
LekaFEV [45]
Formula
====
d = r * t

Givens
======
d = 2 3/4
t = 1 hour 15 minutes 
r = ????

Calculations
==========
You need to convert the 15 minutes to hours.
1 hour = 60 minutes
x hour = 15 minutes

1/60 = x/15
x = 15/60
x = 0.25 hours
so the time = 1 hours + 0.25 hours
t = 1.25 hours

Now you need to do something with the distance.
3/4 mile = 0.75 of a mile
So the distance = 2 + 0.75 = 2.75 miles

Now you are ready for the answer.
d = r * t you are looking for r
2.75 = r * 1.25
r = 2.75/1.25
r = 2.2 miles / hour

Note you could do this with fractions.
2 3/4 = 11/4
1 1/4 =  5/4

r = 11/4 // 5/4 =11/5 = 2 1/5 which is the same thing as 2.2. If your calculator can handle fractions (those kind of calculators cost about 10 dollars in Canada. It should be 8 in the US) that might be the way to do this problem.
6 0
3 years ago
Let x=number of cds and y=number of dvds
Elis [28]
X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===

x = 30

6 0
3 years ago
Identify the y-intercept of the line 2x-y=6
nadya68 [22]

Answer:

-6

Step-by-step explanation:

2×-y=6

subtract the 2x

-y=-2×+6

divided by negative 1 on both sides

y=2×-6

7 0
3 years ago
The points (8,-10) and (6,w) fall on a line with the slope of -2. What is the value of w?
ella [17]
W = -6
You get the formula from (8, -10) and the slope.
7 0
3 years ago
Two 120 resistors are connected in parallel across voltage supply of 10 vdc what’s the current in this circuit
Daniel [21]

Answer: 0.167

Step-by-step explanation:

This is an applied mathematics question

Resistors in parallel  ⁾/R = ¹/₁₂₀ + ¹/₁₂₀ since the resistor is two 120

Therefore , resolve into fraction now yield

                       ¹/R                              =         1 + 1  

                                                                    -------

                                                                     120

                                                          =         2/120

                                                          =          ¹/₆₀

Therefore,                                  ¹/R   =      ¹/₆₀

 Cross multiply to get R the resistance

                                                      R  =  60

From formula,                                V = IR where I is the current

There fore making I the subject of the formula

                                                        I = V/R

                                                          = 10/60

                                                          = 0.166

                                                          = 0.167 A, A = ampere which is the unit of current.

                   

4 0
3 years ago
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