5

# If p is prime then aP = a (mod p) for all a ez_(6 points) Useto show that a and a5 have the same units digit for any integer...

## Question

###### If p is prime then aP = a (mod p) for all a ez_(6 points) Useto show that a and a5 have the same units digit for any integer

If p is prime then aP = a (mod p) for all a ez_ (6 points) Use to show that a and a5 have the same units digit for any integer  #### Similar Solved Questions

##### Find 841 derivative of the function2g(x) 4 ~Ix
Find 841 derivative of the function 2 g(x) 4 ~Ix...
##### Consider the following functions. Vx-9 g(x) Sketch the region bounded by the graphs of the functions.Flndthe arerthe rglon
Consider the following functions. Vx-9 g(x) Sketch the region bounded by the graphs of the functions. Flndthe arer the rglon...
##### SW Airlines is studying its service from AtlantaChicago. Historical data shows that the mean number of passengers per flight is 120. If the number of passengers flying are normally distributed, with variance of 100 passengers, What is the probability that a randomly selected flight will carry between 11O to 125 passengers' What is the probability that a typical flight will carry less than 105 passengers? (Show your answers graphically) What the probability the airlines will carry 12 pa
SW Airlines is studying its service from Atlanta Chicago. Historical data shows that the mean number of passengers per flight is 120. If the number of passengers flying are normally distributed, with variance of 100 passengers, What is the probability that a randomly selected flight will carry ...
##### 3 Find the mass of the 3-D solid which is inside the sphere x2 + y2 + z2 = 9 and inside the cylinder x2 + y2 = 4,ifthe density is 8(x,Y,2) = 9-x2-y2
3 Find the mass of the 3-D solid which is inside the sphere x2 + y2 + z2 = 9 and inside the cylinder x2 + y2 = 4,ifthe density is 8(x,Y,2) = 9-x2-y2...
##### QUESTION31esicla #PP chartha tano: Mamenn [ethc {Snare Rjn G17 prorcin: on tha vuticle Rab GDP ptoreint thewerkke RsbG1P protcins 8nthe VesicleDlcin-KnechPSARZQUESTION 32Jna: ElareAneeIPooulei Prepino ounnt Dmtcteili In Turcan4mjdll fandwich 5p uslly troron ToethIna thtndImaliotabl WetolieDcodutOcahesmal Jendetr- veleâ‚¬onlnln membran Prore nfanJspt nfjtotbQUESTION 3]Deol Upulaico cem rurete Ln Po7an 8r certteaTtmbtictHfidu drrnedom unehd Lrelollarnnn DeTordttrzDunneee Imuln-mdrednireuieKrmulFb
QUESTION31 esicla #PP chartha tano: Mamenn [ethc {Snare Rjn G17 prorcin: on tha vuticle Rab GDP ptoreint thewerkke RsbG1P protcins 8nthe Vesicle Dlcin- Knech PSARZ QUESTION 32 Jna: Elare Anee IPooulei Prepino ounnt Dmtcteili In Turcan 4mjdll fandwich 5p uslly troron Toeth Ina thtnd Imaliot abl Wetol...
##### Write the complex number in polar form: Express the argument in degrees, rounded to the nearest tenth; if necessary:12+16i20 (cos 233.1 + isin 233.1020 (cos 126.95 +isin 126.98)20 (cos 53.15 +isin 53.19)20 (cos 306.99 + i sin 306.98
Write the complex number in polar form: Express the argument in degrees, rounded to the nearest tenth; if necessary: 12+16i 20 (cos 233.1 + isin 233.10 20 (cos 126.95 +isin 126.98) 20 (cos 53.15 +isin 53.19) 20 (cos 306.99 + i sin 306.98...
##### Q.2. A puma jumps from a rock of height m, If the puma jumps off the rock with an initial horizontal velocity of 6 m/s to a distance of 3 from the rock along the ground; find Y.
Q.2. A puma jumps from a rock of height m, If the puma jumps off the rock with an initial horizontal velocity of 6 m/s to a distance of 3 from the rock along the ground; find Y....
##### Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the X-axis_V# 2sin > + 1, 2 =0, ! = 0, I =T37 + 47 + 8707 +4x37 + 83
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the X-axis_ V# 2sin > + 1, 2 =0, ! = 0, I =T 37 + 4 7 + 87 07 +4x 37 + 83...
##### Recall the ring homomorphism p: Qlr] Q defined by p(f(c)) = f(3). ker(y) . Recall that every fiber of is translate of I. That is, Let for each a â‚¬ Q there exists a 9(r) â‚¬ Ql] such that p-'(a) = I+ g(r) (a) Show that the translations of by two different polynomials can be the same fiber of p. That is, show that there exist polynomials f(r) + g(r) such that I + f(r) = I+g(1). (b) Show that the translations of by two different constant polynomials cannot be the same: That is, show that, i
Recall the ring homomorphism p: Qlr] Q defined by p(f(c)) = f(3). ker(y) . Recall that every fiber of is translate of I. That is, Let for each a â‚¬ Q there exists a 9(r) â‚¬ Ql] such that p-'(a) = I+ g(r) (a) Show that the translations of by two different polynomials can be the same f...
##### Draw charge-separated resonance structures to give a representation of the bonding in $\mathrm{PF}_{5}$ such that the octet rule is strictly obeyed.
Draw charge-separated resonance structures to give a representation of the bonding in $\mathrm{PF}_{5}$ such that the octet rule is strictly obeyed....
##### A rod of negligible mass is pivoted a 2 point that is off-center . S0 that length / is different from length &> The figures above show [Wo cascs in which masses are suspended from the ends of the rod each case the unenoum MAA balanced by known mass M or M> so that the rod remains horizontal . What is the value of m in terms ot the knoun masses' (4)M M; (B) 'M; MJ) (C)M M; (DJ VM,M;
A rod of negligible mass is pivoted a 2 point that is off-center . S0 that length / is different from length &> The figures above show [Wo cascs in which masses are suspended from the ends of the rod each case the unenoum MAA balanced by known mass M or M> so that the rod remains horizonta...
##### Suppose it takes you 45.0 s to travel 10Om down a long straight line hallway toward your departure gate at an airport: At the 100m mark; you realize you missed the restroom, and you return back 25.0 m along the same hallway; taking 10.0 s to make the return trip: a) What is the magnitude of the average velocity for your trip? b) What is the average speed for your trip?
Suppose it takes you 45.0 s to travel 10Om down a long straight line hallway toward your departure gate at an airport: At the 100m mark; you realize you missed the restroom, and you return back 25.0 m along the same hallway; taking 10.0 s to make the return trip: a) What is the magnitude of the aver...
##### The $x^{\prime} y^{\prime}$ -coordinate system has been rotated $\theta$ degrees from the $x y$ -coordinate system. The coordinates of a point in the $x y$ -coordinate system are given. Find the coordinates of the point in the rotated coordinate system. $$\theta=90^{\circ},(0,3)$$
The $x^{\prime} y^{\prime}$ -coordinate system has been rotated $\theta$ degrees from the $x y$ -coordinate system. The coordinates of a point in the $x y$ -coordinate system are given. Find the coordinates of the point in the rotated coordinate system. $$\theta=90^{\circ},(0,3)$$...
##### Tbe boting point of pure ethanol (C H,OH, MM = 46.07 'C.A solution is made using 100.0 glmol) is 78.4 9 of glucose (MM = g of ethanol (the solvent) and 18.1 solution, 180.16 g/mol) What is the boiling point of this in 'C? (Kb of ethanol is 1.22 Clm)
Tbe boting point of pure ethanol (C H,OH, MM = 46.07 'C.A solution is made using 100.0 glmol) is 78.4 9 of glucose (MM = g of ethanol (the solvent) and 18.1 solution, 180.16 g/mol) What is the boiling point of this in 'C? (Kb of ethanol is 1.22 Clm)...
##### Give the solution in obtaining the volume of two buffers usednamely NaH2PO4 and Na2HPO4 pka=6.7pH=6.5 conc. of base= 0.2 Mconc.of acid= 0.2 Mtotal volume= 20mL
give the solution in obtaining the volume of two buffers used namely NaH2PO4 and Na2HPO4 pka=6.7 pH=6.5 conc. of base= 0.2 M conc.of acid= 0.2 M total volume= 20mL...