The speed of a body falling freely from rest in a vacuum varies directly with the length of the time it falls. If after 6 seconds, a body was falling 58.8 m/s, how fast was it falling 4 seconds later? (Round off your answer to the nearest meter per second.)

Answer:

y=-2x+3

Step-by-step explanation:

step 1: subtract 6x on both sides

step 2: divide all numbers by 3 to get y by itself.

Answer:

Step-by-step explanation:

In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4

How to find the cube root

The cube root of 63 would be gotten from a calculator when we use this formula

The solution that we would have from the calculator would be 3.97. The value 3.97 is known to be greater than 3 by a lot but just a little less than 4 on the number line.

3.97 can be approximated to be 4. Hence we can say that In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4

Answer: A. between 2 and 3, but closer to 2.

Step-by-step explanation:

The cube root of 24 is a number that, when multiplied by itself three times, equals 24. To determine where this cube root would be plotted on a number line, we can compare it to other numbers.

Let's start by finding the perfect cubes of some numbers. The perfect cube of 2 is 2*2*2 = 8, and the perfect cube of 3 is 3*3*3 = 27. Since 24 is between 8 and 27, we know that the cube root of 24 would be between 2 and 3 on the number line.

Now, to determine if it's closer to 2 or 3, we can consider the difference between the cube of each of these numbers and 24. The cube of 2 is 2*2*2 = 8, and the difference between 8 and 24 is 24-8 = 16. The cube of 3 is 3*3*3 = 27, and the difference between 27 and 24 is 27-24 = 3.

Since 16 is greater than 3, we can conclude that the cube root of 24 is closer to 2 than to 3. Therefore, it would be plotted on the number line between 2 and 3, but closer to 2.

Answer:

The answer is below

Step-by-step explanation:

The scale for the drawing is 1 inch = 40 feet.

The right angled triangle has legs of 3 inches and 4 inches. Using the scale, the length of the legs is:

3 inches = 3 inch * 40 feet / inch = 120 feet and 40 inches =  4 inch * 40 feet / inch = 160 feet.

The area of a right angled triangle is half the product of the two legs. Hence:

Area of right angled triangle = 1/2 * 120 feet * 160 feet = 9600 ft²

The rectangle with dimensions of 1.5 inches and 2.5 inches. Using the scale, the length of the sides is:

1.5 inches = 1.5 inch * 40 feet / inch = 60 feet and 2.5 inches =  2.5 inch * 40 feet / inch = 90 feet.

The area of a rectangle is the product of the two sides. Hence:

Area of rectangle = 60 feet * 90 feet = 5400 ft²