Explanation

(a)

(b)

(c) \(\sin x = \frac{1}{4}\) (Given)

Multiply through by 2 ; \(2 \sin x = 2 \times \frac{1}{4} = \frac{1}{2}\)

\(2 \sin x = \frac{1}{2} \implies 2 \sin x - \frac{1}{2} = 0\)

Add \(1\frac{1}{2}\) to both sides ;

\(2 \sin x - \frac{1}{2} + 1\frac{1}{2} = 0 + 1\frac{1}{2}\)

\(\implies 2 \sin x + 1 = 1\frac{1}{2}\)

Draw the line \(y = 1\frac{1}{2}\) on the same axis as \(y = 2 \sin x + 1\). The line \(y = 1\frac{1}{2}\) cuts the curve at points P and Q where x = 15° and x = 168°. Hence, the values of x for which \(\sin x = \frac{1}{4}\)are 15° and 168°.

Correct Answer: C. utility

Correct Answer: D. 0.34V

Explanation

To find the stopping potential, we use the relationship between the maximum kinetic energy of the photoelectrons (K_{max}) and the stopping potential (V_0):

K_{max} = e V_0

Where:

• K_{max} = 0.34 eV

• e is the elementary charge

Substituting the given value:

0.34 eV = e V_0

V_0 = 0.34 V

*(Note: The work function of the metal surface is extra information and is not needed to find the stopping potential directly from the maximum kinetic energy.)*

Therefore, the correct option is D. 0.34V.

Correct Answer: A. Regulation of body temperature

Correct Answer: C. eliminate all tariffs and quotas among member countries

Correct Answer: D. -1°C

Correct Answer: A. Amplitude

Correct Answer: B. elected representatives rule

Explanation

Have an intention (niyat) to pray.

This is not anything you have to say out loud (unless you are catching up on missed prayers and need to remind yourself on which one you're on). Rather, your intention to pray salat comes from the heart.

Hold your hands up, palms facing forward, to perform Takbiratul Ihram.

The individual raised their hands up, palms facing forward, to their ear lobes and recited Allahu Akbar (Allah is the Greatest) out loud.

Perform Qiyam.

You are still standing at this point. Your hands are either folded across your chest (right over left) or hanging near your side (depending on whether you follow Shia or Sunni sect of Islam). You can now begin reciting the first chapter in the Quran, Surah Al Fatiha. You can recite this Surah either out loud or inside your head. This is followed immediately by another Surah (portion) of the Quran. It is helpful to have various small Surahs memorized.

Perform Ruk'u.

This is the part where the individual unfolds their hands, places them on their knees, and bows. When moving to this position, say Allahu Akbar. Whilst in this position, recite Subhana Rabbiyal al-Adheem (All praises to Allah, the great) three times.

Rise up from Ruk'u.

When rising, say Sam'i Allahu liman hamidah (Allah listens to those who praise Him) followed by Rabana walakel hummed (Our lord, to you is due to all praise).

Perform Sujud (prostration).

This is the position where Muslims are on their knees, palms flat on the floor with their forehead to the ground. Say Allahu Akbar when going into this position. Recite Subhan rabbi alAla (Glory be to my Lord, the Most high) three times.

Rise to a sitting position.

Say Allahu Akbar whilst moving into this position. Keep your palms on your knees and eyes focused on your prayer.

Prostrate again.

Recite Allahu Akbar while prostrating into Sujud. This prostration is just like the first one.

Stand up back into the next raka'at (portion of prayer).

Again, recite Allahu Akbar when moving into this position. This second portion of the prayer is identical to the first one (qiyam, ruk'u, sujud, sit, sujud). The difference in this raka'at is that you will not stand up again after the second prostration. Rather, you will go into Tashahhud.

Explanation

Paul proved that Christians are children of God as he taught that with the advent of faith, Christians are no longer under any dispensation of law. We are sons of God through faith in Christ Jesus. Our baptism means putting on Christ. In Christ Jesus, there is no discrimination, no Jew nor Greek. If we are Christ's, then we are Abraham's offspring and heirs according to promise. The heir can be compared to a slave because though he owns the estate, he could not exercise control being under a guardian. So when we were children, we were slaves to the spiritual elements, but at the appointed time, God sent His son who was born of a woman and even under the law to redeem those who were under the law, thus enabling them to receive adoption as sons leading to freedom through Christ. When we become sons of God, we receive the spirit of His son in our hearts and by so doing we are no longer slaves but sons of God and, therefore, heirs.