Explanation

Let R represent the horizontal distance covered at time t.

Using h = ut + \(\frac{1}{2}gt^2\)

but U\(_v\) = 0

h = \(\frac{1}{2} gt^{2}\)

20 = \(\frac{1}{2} \times 10 \times t^2\)

20 = 5t\(^2\)

t\(^2\) = \(\frac{20}{5}\) = 4

t = 2s

Range(R) = U\(_x\) x t

= 15 x 2

= 30m

or

R = u x \(\sqrt{\frac{2h}{g}}\)

= 15 x \(\sqrt{\frac{2 \times 20}{10}}\)

= 15 x \(\sqrt{4}\)

= 15 x 2

= 30m

Correct Answer: D. Portuguese

Correct Answer: C. I and III only

Explanation

Isosceles triangle and Kite shapes have 1 line of symmetry each while the rhombus has 2 lines of symmetry.

Correct Answer: B. 1976

Correct Answer: B) Jeremiah

Explanation

The question is asking about a prophet who said I will put my law within them, and will write it upon their heart. The options are Isaiah, Jeremiah, Hosea, and Amos. The correct answer is option B, Jeremiah.

Jeremiah was a prophet in the Old Testament who lived in the 7th century BCE. He was known for his prophecies of the destruction of Jerusalem and the Babylonian exile. In Jeremiah 31:33, he prophesied about a new covenant that God would make with His people. As part of this new covenant, God would put His law within His people and write it upon their hearts.

This new covenant was fulfilled in Jesus Christ, who established a new covenant with His followers through His death and resurrection. This new covenant is based on faith and grace, rather than the law. Christians believe that through faith in Jesus Christ, God writes His law upon their hearts and enables them to live according to His will.

In summary, the prophet who said I will put my law within them, and will write it upon their heart was Jeremiah. This prophecy was fulfilled in Jesus Christ, who established a new covenant based on faith and grace.

Correct Answer: C. 55

Correct Answer: D)

\(P_1V_1T_2 = P_2V_2T_1\)

Explanation

The ideal gas equation is an equation of state for an ideal gas, meaning it describes the relationship between pressure, volume, and temperature for a gas that follows the ideal gas law. The ideal gas law can be written as:

\(PV = nRT\) Where: - P is the pressure - V is the volume - n is the number of moles of gas - R is the ideal gas constant - T is the temperature in Kelvin When comparing two sets of conditions for an ideal gas, we can rearrange the ideal gas equation to show the relationship between the initial conditions (P?, V?, T?) and the final conditions (P?, V?, T?). This is called the combined gas law, and it can be written as: \(P_1V_1T_2 = P_2V_2T_1\) This equation shows that the product of the initial pressure, volume, and final temperature is equal to the product of the final pressure, volume, and initial temperature. This equation is the correct answer, which isOption D. The other options are incorrect because they represent specific cases of the ideal gas equation, where one or more of the variables are held constant: -Option A: \(\cfrac{V_1}{T_1} = \cfrac{V_2}{T_2}\) represents the relationship between volume and temperature when pressure is constant (Charles's law). -Option B: \(P_1V_1 = P_2V_2\) represents the relationship between pressure and volume when temperature is constant (Boyle's law). -Option C: \(V_2 = \cfrac{P_1V_1T_1}{P_2T_2}\) is a rearranged form of the combined gas law, but it does not represent the ideal gas equation in its most general form.

Correct Answer: D. courier services

Correct Answer: C. Macronutrient

Correct Answer: D. the federal government