Please help 1. What is the sum or difference?
6x^4 – 10x^4

2. Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. (2 pts.)
x + 7 – 4x^3

Simplify:

3. (-8a^5 – 9a^3 – 3a – 2) + (10a^5 + 8a + 4 + 2a^3 )

4. (2x – 9)(x^2 + 4x – 1)

5. (3x + 2y^4)^2

6. A cylinder has a radius of 4x + 1 and a height of 3x + 4. Write the polynomial in standard form for the volume of the cylinder. Use the formula: V = πr^2h. Leave answer in terms of π.

7. The area of a rectangle is given by: 5x^2 -22x + 8. What are the possible dimensions of the rectangle?
8. f(x) = 5x^5 – 13x^4 + x^3 and g(x) = 14x^4 – x^5 + 16x^3 . What is f(x) – g(x)? Show all steps and write your answer in factored form. (2 pts.)

1. a driveway has a 15° grade. if the driveway is 40 meters long, how much does the driveway rise? (nearest tenth of a meter) 2. a person located 4 miles from a rocket launch site sees a rocket at an angle of elevation of 32°. at that moment, how high is the rocket above the ground? (nearest tenth of a mile) 3.an airplane approaches an airport landing strip with an angle of depression of 12°. if the airplane is flying at an altitude of 20,000 feet, find the distance on the ground that the plane will need to land. (nearest 1,000 feet) 4.two buildings are located on opposite sides of the street, 40 meters apart. the angle of elevation from the top of the shorter building to the top of the taller building is 53°. if the taller building is 300 meters tall, what is the height of the shorter building? (nearest meter) 5.george is 187 cm tall. his son, ralph, is 142 cm tall. who casts the longer shadow. george when the sun is 65° above the horizon, or ralph when the sun is 56° above the horizon? how much longer? (nearest centimeter)

The contents of 3838 cans of coke have a mean of x¯¯¯=12.15x¯=12.15. assume the contents of cans of coke have a normal distribution with standard deviation of σ=0.12.σ=0.12. find the value of the test statistic zz for the claim that the population mean is μ=12.μ=12.

Find the coordinates of point x that lies along the directed line segment from y(-8, 8) to t(-15, -13) and partitions the segment in the ratio of 5: 2.