The efficiency of the wedge is low because of _____.width
friction
length
height

The object will reach a height of 90ft

To solve this exercise we are going to use  the discriminant of the quadratic polynomial ax²+bx+c=0, which is b²-4ac.  

If the discriminant is negative, then there are no real solutions to the equation.

If the discriminant is zero, there is only one solution.

If the discriminant is positive, there are two real solutions.

We have the equation h(t)=18t-16t² which describes the model of the height h (feet) reached in t (seconds) by an object propelled straight up from the ground at a speed of 80 ft/s. We want to use the discriminant to find whether the object will ever reach a height of 90ft.

First, we have to rewrite the equation to the form ax²+bx+c=0 and we know the height that is possible to reach for the object h=90ft.

90 = 80t-16t² ---------->  -16t²+80t-90=0

Using the discriminan equation D = b²- 4ac.

From the quadratic polynomial -16t²+80t-90=0, we have a = -16, b = 80, and c = -90

D = (80)² - 4 (-16)(-90)

D = 6400 - 5760 = 640

Since the discriminant D is positive, the object will reach a height of 90ft.

Geothermal energies are widely used for various domestic and power supply processes. The lower usage of land is an advantage of geothermal energy. Hence, option (c) is correct.

What is Geothermal Energy?

The energy generated in the form of heat from the Earth is known as geothermal energy. Rocks and Fluids beneath the Earth's crust are the major sources of these kinds of energies.

The advantages of geothermal energy are as follows -

• It is a renewable source of energy that is clean and sustainable.
• No emission produced, geothermal plants do not produce greenhouse gases like fossil fuels plants. Therefore, it is also known as an eco-friendly source of energy.
• It can be pumped back to the ground is among other advantages.

Thus, we can conclude that the lower usage of land is an advantage of geothermal energy. Hence, option (c) is correct.

Learn more about geothermal energy here:

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Answer;

C. Low land use

Explanation;

• Geothermal energy is the type of energy that is generated as a result of heat from the Earth.
• There are many advantages associated with geothermal energy which includes; it is a renewable source of energy that is clean and sustainable, no emission produced, geothermal plants do not produce green house gases like the fossil fuels plants, it can be pumped back to the ground among other advantages.

Answer: not be able to stop in time to miss the object

Explanation:

The phrase "Over-driving your headlights" means that a person is driving at such a speed that the vehicle's stopping distance is greater than the maximum viewable distance with the headlights on.

When this occurs, it will be impossible for the vehicle to stop moving in time to avoid an object viewed by the driver in the range of his headlights.

This is a dangerous driving practice and can be avoided by driving at reduced speeds.

Final answer:

Over-driving your headlights implies a situation where you are driving so fast that you won't be able to stop within the area illuminated by your headlights. Therefore, if you see an object in your path under such circumstances, you are likely not going to be able to stop in time to avoid hitting it. Headlights' range is usually 350 feet, and driving at a speed that requires a stopping distance greater than 350 feet is considered over-driving your headlights.

Explanation:

The phrase 'over-driving your headlights' refers to a situation where a driver is traveling at such a speed that their stopping distance is further than the distance illuminated by their headlights. Thus, if an object is within your path, you won't have enough time to stop your vehicle before hitting it, especially if you're speeding.

On most roads, the farthest your headlights can help you see ahead is around 350 feet. If you're driving faster than a speed that permits you to stop within these 350 feet, you're said to be 'over-driving' your headlights. If you're over-driving your headlights, and you see an object ahead then you will most likely not be able to stop in time to miss the object. This is because your vehicle's stopping distance will be greater than your visual distance, which is dependent on the capabilities of your headlights.

Learn more about Over-driving headlights here:

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Answer;

loud noise that damages hair cells

One of the leading causes of permanent damage leading to hearing impairment is loud noise that damages hair cells.

Explanation;

• Loud noise is the among the leading cause of permanent damage of the ear which impairs hearing.
• Loud noise may cause damage to the cells and the membranes in the cochlea of the ear. Listening to loud noise for a very long time overworks the hair cells that may make them to die.
• The damage to the cochlea of the ear causes permanent hearing loss since all or part of the inner ear has been damaged.