Question A golfer hits a golf ball toward the hole 55 yards away. The ball follows a parabolic path given by the function h(x)=−125x(x−45) , where h(x) is the height of the golf ball and x is the horizontal distance it has traveled. Solve the equation to determine how far the ball will have traveled when it hits the ground. How far will the ball need to roll to make it to the hole? 0=−125x(x−45) (1 point) Responses The ball will hit the ground after it has traveled 10 yards. It will need to roll an additional 45 yards to reach the hole. The ball will hit the ground after it has traveled 10 yards. It will need to roll an additional 45 yards to reach the hole. The ball will hit the ground after it has traveled 30 yards. It will need to roll an additional 25 yards to reach the hole. The ball will hit the ground after it has traveled 30 yards. It will need to roll an additional 25 yards to reach the hole. The ball will hit the ground after it has traveled 25 yards. It will need to roll an additional 30 yards to reach the hole. The ball will hit the ground after it has traveled 25 yards. It will need to roll an additional 30 yards to reach the hole. The ball will hit the ground after it has traveled 45 yards. It will need to roll an additional 10 yards to reach the hole. The ball will hit the ground after it has traveled 45 yards. It will need to roll an additional 10 yards to reach the hole. Skip to navigation

11 answers

To solve the equation and determine how far the ball travels when it hits the ground, we start with the given equation for the height of the golf ball:

\[ h(x) = -125x(x - 45) \]

To find out when the ball hits the ground, we set \( h(x) = 0 \):

\[ 0 = -125x(x - 45) \]

This equation can be factored:

\[ 0 = -125x(x - 45) \]

Setting each factor equal to zero gives:

  1. \( -125x = 0 \) which implies \( x = 0 \)
  2. \( x - 45 = 0 \) which implies \( x = 45 \)

Thus, the ball hits the ground at two horizontal distances: \( x = 0 \) (the starting point) and \( x = 45 \) yards (when it reaches the ground again).

Since the hole is 55 yards away from the starting point, we calculate how far the ball will need to roll after hitting the ground at 45 yards:

\[ \text{Distance to hole} = 55 \text{ yards} - 45 \text{ yards} = 10 \text{ yards} \]

Therefore, the ball will hit the ground after it has traveled 45 yards and will need to roll an additional 10 yards to reach the hole.

The correct response is:

The ball will hit the ground after it has traveled 45 yards. It will need to roll an additional 10 yards to reach the hole.

When donning a mask, it is important that it fits securely against the face. What might happen if the mask ISN’T securely fastened against the face? (1 point) Responses The patient may need to consume a mechanical soft diet. The patient may need to consume a mechanical soft diet. Contaminated air or droplets might be inhaled through the gap. Contaminated air or droplets might be inhaled through the gap. Indirect vehicle transmission might occur. Indirect vehicle transmission might occur. The modes of transmission will be broken.

If a mask isn’t securely fastened against the face, the primary concern is that contaminated air or droplets might be inhaled through the gap. A proper seal is crucial to prevent pathogens from entering the respiratory system, which can lead to increased risk of infection.

The correct response is:

Contaminated air or droplets might be inhaled through the gap.

Stella is an environmental services worker. She has just finished cleaning up a bodily fluid spill in an exam room. She makes a pile of the cleaning materials that she used: a mop, cleaning cloths, and a bucket. Then she removes her mask and gloves. What items must be disinfected? (1 point) Responses the mop, cleaning cloths, and bucket the mop, cleaning cloths, and bucket the mop and bucket the mop and bucket her gloves and mask her gloves and mask her gloves and the cleaning cloths

In this scenario, the items that must be disinfected after cleaning up a bodily fluid spill are the mop, cleaning cloths, and bucket. These items have come into contact with potentially contaminated materials and must be properly disinfected to ensure safety and prevent the spread of infection.

Thus, the correct response is:

the mop, cleaning cloths, and bucket.

Wafa has just been diagnosed with diabetes. Her physician recommends that she begin to follow a diabetic diet. Which meal would be BEST for Wafa to eat? (1 point) Responses frosted breakfast cereal with whole milk and strawberries frosted breakfast cereal with whole milk and strawberries black bean soup with brown rice and low-fat yogurt black bean soup with brown rice and low-fat yogurt sweet and sour chicken with white rice sweet and sour chicken with white rice French toast with butter and syrup French toast with butter and syrup

For someone with diabetes, it is important to choose meals that have a balanced composition of carbohydrates, protein, and healthy fats, as well as to avoid foods that are high in sugar and refined carbohydrates.

Among the provided meal options, black bean soup with brown rice and low-fat yogurt would be the best choice. This meal contains complex carbohydrates (from the brown rice and black beans), which are digested more slowly and have a lower impact on blood sugar compared to other options that are high in sugars and refined grains.

Therefore, the best meal for Wafa to eat is:

black bean soup with brown rice and low-fat yogurt.

Corey has recently been diagnosed with diabetes. His doctor recommends that he switch to a diabetic diet. If he follows this advice, how will Corey MOST likely be affected? (1 point) Responses It will probably cure the disease. It will probably cure the disease. It will make his diabetes worse. It will make his diabetes worse. It will make it easier for him to exercise. It will make it easier for him to exercise. It will limit the impact of the disease on his health.

If Corey follows a diabetic diet as recommended by his doctor, the most likely effect will be that it will limit the impact of the disease on his health. A proper diabetic diet can help manage blood sugar levels, reduce the risk of complications, and improve overall health.

The correct response is:

It will limit the impact of the disease on his health.

Heath has the flu and is currently contagious. It’s an important week at school. He has a big Spanish test, and it’s the last basketball game of the season. What would be the BEST course for Heath take? (1 point) Responses Take some medicine and go to the basketball game. Take some medicine and go to the basketball game. Stay home except when it’s time to go to school for his Spanish test. Stay home except when it’s time to go to school for his Spanish test. Skip school so he’s rested enough to go to his friend’s house for a sleepover. Skip school so he’s rested enough to go to his friend’s house for a sleepover. Stay home from everything until he is sure that he is no longer contagious. Stay home from everything until he is sure that he is no longer contagious.

Given that Heath has the flu and is currently contagious, the best course of action would be to stay home from everything until he is sure that he is no longer contagious. This approach is important to prevent spreading the virus to classmates and others, as well as to allow his body the necessary time to recover.

Therefore, the correct response is:

Stay home from everything until he is sure that he is no longer contagious.

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