If you have 24 square piece of wood describe all the different ways you could make a rectangle by placing them side by side

Some fireworks are fired vertically into the air from the ground at an initial velocity of 24.5 meters per second. Find the high

krek1111 [17]

Answer:

The highest point reached by the firework is approximately 30.6 meters

Step-by-step explanation:

The upward velocity of the fireworks is given as 24.5 m/s

The equation of projectile motion for an object fired vertically upwards can be written as follows;

v² = u² - 2·g·s

Where;

v = The final velocity of the motion = 0 m/s at maximum height

u = The final velocity of the motion = 24.5 m/s

g = Acceleration due to gravity = 9.81 m/s²

s = The height reached = (The highest point reached by the firework)

By substituting the values, we have;

(0 m/s)² = (24.5 m/s)² - 2 × 9.81 m/s² × s

Which gives;

2 × 9.81 m/s² × s = (24.5 m/s)² = 600.25 m²/s²

19.62 m/s² × s = 600.25 m²/s²

s = 600.25 m²/s²/(19.62 m/s²) = 30.594 m ≈ 30.6 meters

The highest point reached by the firework is approximately 30.6 meters

3 0

3 years ago

What is the rule for these 2 Problems?

dimaraw [331]

Answer: 1.) y = x + 11

2.) y = -2x + 5

Step-by-step explanation: Use the values in the chart to calculate the slope: difference in y-values divided by difference in x-values.

Then take the calculated slope, substitute for <u>m </u>in the point slope form of the equation, choose any pair of values in the chart, substitute for y and x in the equation and solve for b.

8 0

3 years ago

The Regression Equation Suppose in this semester, our Exam 1 average was about 85 with an SD of about 12. Suppose the correlatio

kirill [66]

Answer:

0.410

Step-by-step explanation:

We are predicting exam 2 scores from exam 1 scores so the dependent variable y is exam 2 scores and independent variable is exam 1 scores x.

The regression equation is

y=a+bx

Where y is exam 2 scores and x is exam 1 scores.

We are given that

correlation coefficient=r=0.6.

Mean and standard deviation of x are xbarx=85 and Sx=12.

Mean and standard deviation of y are xbary=82 and Sy=8.2.

The slope b for this scenario can be found as

$slope=b=r\frac{Sy}{Sx}$

$slope=b=0.6(\frac{8.2}{12} )$

$slope=b=0.6(0.6833)$

$slope=b=0.41$

Thus, the slope of the regression equation for predicting Exam 2 scores from Exam 1 scores is 0.410.

5 0

3 years ago

1. Write an equation to represent the distance (d) that a person can run in t hours if she runs at a speed of 4 miles per hour.

Rudik [331]

Answer:

1. The equation that represent the distance (d) that a person can run in t hours is: d = 4t

2. The equation is: c = $0.98(20)

3. The equation is: L = 18(5)

Step-by-step explanation:

1. The variable d represents the distance over time, and t represents the hour in the equation so if you want to find the distance over time, you would say distance per hour. The per means to multiply, so every distance is equal to 4 miles per hour..

2. If the teacher wants to find out how much she will have to pay for 20 chocolate bar, she has to substitute 20 into the equation to replace b, which means bar. So the equation would be: total cost (c) = $0.98 × chocolate bars (b). Once substituted, the equation will be c = $0.98(20).

3. The problem said "mows 18 lawns per day" and "mow in 5 days", that means that you substitute 5 into the equation to replace the d in days, since you are multiplying 5 × 18.. Your new equation will be: L = 18(5), Total Lawns = 18 (lawns) per 5 (days).

7 0

3 years ago

Jasmin has 50 marbles in a bag.20% of the marbles are blue.How many marbles are blue

Minchanka [31]

20% of 100 is 20. divide that by 2 to get 20% of 50. 20/2 is 10. 20% of 50 is 10. There are 10 blue marbles.

Hope it helped :)
Ali

6 0

3 years ago