6. Find the range of the set: 5, 3, 8, 7, 6, 12, 4, 3.

ALGEBRA:Chase rides his bike 5 miles to school in 25 minutes. The relationship between the distance he rides and the time it tak

bezimeni [28]

(D) Distance traveled by Chase on bike = 5 miles

(T) Time taken by Chase to travel that distance = 25 minutes

D and T are directly related.

Part A (Equation)

Since, D and T are directly related,

⇒ D ∝ T (i.e. D is directly proportion to T)

⇒ D = k × T (using k as constant variation, as suggested in the question)

So the equation that represents the relation between T and D is D = k × T.

Part B (Value and units for k)

When we put the values of T and D in the equation D = k × T, we get:

5 = k × 25

Solving the above equation and moving 25 to the Left Hand Side (LHS) of the equation

⇒ 5 ÷ 25 = k

⇒ 0.2 = k OR

⇒ k = 0.2

Hence, value of k is 0.2. This is the rate at which Chase drove his bike to school.

Now, to determine the unit of k we will simply put the units of D and T in the equation.

⇒ 5 miles = k × 25 minutes

⇒ 0.2 miles/minute = k OR

⇒ k = 0.2 miles/minute

Hence, the unit for k is miles/minute or miles per minute.

Part C (Time taken to ride 8 miles)

Now, if Chase drives his bike at the same rate every day, i.e. at 0.2 miles/minute, then we need to determine how much time he takes to ride 8 miles. Putting the values of k and D in the equation:

⇒ 8 = 0.2 × T

⇒ T = 40 minutes

So, Chase would take 40 minutes to cover a distance of 8 miles.

7 0

3 years ago

What is a sudden sharp pain or painful emotion

ale4655 [162]

Ache of a sort• Attack of remorse• Bit of distress• Bit of guilt• Bit of guilt, say<span>• Brief pain.

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7 0

3 years ago

If you see a very tall, rock feature that looks like a jagged, rectangular block sticking out of the ground, you're probably obs

VladimirAG [237]

<span>If you see a very tall, rock feature that looks like a jagged, rectangular block sticking out of the ground, you're probably observing a volcanic neck. Also known as a lava neck or volcanic plug, a volcanic neck is formed when magma solidifies within a vent of an active volcano. This can harness great amounts of pressures which could lead to an explosive eruption.</span>

3 0

3 years ago

The isotope silicon 32 decays into phosphorus 32. Silicon 32 has a half-life of 170 years and can be used to find the age of roc

eduard

Answer:

B and C

Explanation:

B. In a given rock sample, the amount of Silicon-32 isotopes gets divided in half about every 170yrs.

This is the concept of half-life. Half life is the time take for half of a radioactive isotope to disintegrate. The shorter the half life the faster the isotope disintegrates.

From the question, we were told that it would take 170yrs for half of the isotope of Silicon to disintegrate to Phosphorus. This is the half life.

C. The half life can be used to determine the amount of Si-32 that has decayed from the time closure temperature was reached.

The closure temperature is very important in radioactivity. It is the temperature at which a system has cooled and there is no resulting disintegration of parent and daughter isotopes.

From first order kinetics, we know that the rate at which radioactive elements decay at any time is directly proportional to the number of radioactive atoms present. A knowledge of the half life helps to figure out the number of atoms that has decayed in time.

5 0

3 years ago

Since 1970, fertility rates have

Fiesta28 [93]

Since 1970, fertility rates have declined in both more developed and less developed countries.

Explanation:

The fertility rates have had some big swings, both up and down in the past century. Everyone is familiar with the ''baby boom'' period, when the fertility rates around the world all skyrocketed, which resulted in rapid growth of the global population. This all started to change though, and from the 1970's onward the fertility rates have started dropping and still do.

It is not just the developed countries that experience this trend, but the less developed as well. The differences is mainly that the developed countries have fertility rates that are below the sustainability point, while the less developed still have relatively high fertility rates and their population still grown. In the manner in which things are going, it is expected that the global population will stop growing in about two or three decades.

Countries that have low fertility rates are:

Japan
Italy
Spain
Russia

Countries that have relatively high fertility rates are:

Zimbabwe
Pakistan
Bangladesh
Nigeria

Learn more about the difference between developed and developing countries brainly.com/question/12890963

#learnwithBrainly

3 0

3 years ago

6. Find the range of the set: 5, 3, 8, 7, 6, 12, 4, 3.​

6. Find the range of the set: 5, 3, 8, 7, 6, 12, 4, 3.