Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–

Answer:

The height of the rock after 3.2 seconds has passed.

Step-by-step explanation:

To respond to this question, we must examine the provided function:

h(t) = –16t2 + 28t + 500

This function h(t) denotes the height of a rock t seconds after it has been launched by a slingshot.

t signifies time (in seconds)

As t is the independent variable and h is the dependent variable, the height of the rock at 3.2 seconds is expressed as h(3.2).

If you have any further questions or need clarification, feel free to ask.

Let the coordinates of the points be P(h,k). Also, k = 3h + 1. The distance of point P from the origin is equal to the distance of P from (-3, 4). By setting these distances equal to one another and solving, we arrive at the solution.

60% of 500 is calculated as 0.6 multiplied by 500, resulting in 300. Therefore, Zack would receive $300.

The average calorie count for chocolate pie pieces at a dining establishment is 350, with a standard deviation of 20. Due to imprecise pie slicing, calorie distribution follows a Normal distribution. What graph illustrates the percentage of pie pieces exceeding 375 calories? The z score is utilized to assess the number of standard deviations the raw score is from the mean. A positive z score indicates the raw score is higher than the mean, while a negative z score implies it is lower. The z score formula is: Given μ = 350 calories, σ = 20 calories, x > 375. The shaded portion of the graph indicates the proportion of pie pieces containing more than 375 calories. According to the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056 = 10.56%.

Greetings!

The conclusion is:

The return trip will take 18 hours.

Reasoning:

To determine the duration of the return journey, we must calculate the distance from the destination back to the starting point.

The ship travels at 15 miles per hour (mph) over 6 hours, yielding a distance of:

The distance from the starting point to the destination is 90 miles, and for the return trip, the motor operates at a speed of 5 mph. Thus, computing the time taken gives us:

Consequently, the return trip will take 18 hours to complete.

Have a nice day!