2021 MATH

At the city park, 328 of the trees are oaks, if there are 400 trees in the park, how many trees are NOT oak?

• 278

• 312

• 272

• 128

It is estimated that the annual cost of driving a certain new car is given by the formula:

c = 0.25m + 1,600

where m represents the number of miles driven per year and C is the cost in dollars. Jane purchases such a car and determines between $5,350 and $5,600 for next year's driving cost. What is the corresponding range of miles that she can drive her new car?

• Between 13,000 mi and 18,000 mi

• More than 16,000 mi

• Between 15,000 mi and 16,000

• Between 13,000 mi and 16,000

At exactly what time after 5 o'clock will the hour hand and the minute hand be perpendicular for the first time?

• 5:15 and 25 seconds

• 5:10 and 54 seconds

• 5:20 and 14 seconds

• 5:05 and 34 seconds

Find the equation of the line passing through the intersection of x - y - 0 and 3x - 2y - 2 cutting from the first quadrant a triangle whose area is 9.

• A. x + y + 1 = 0

• B. 2x + y - 2 = 0

• C. 3x + y - 3 = 0

• D. x + 2y - 6 = 0

A ball bounces 2/3 of the altitude from which it falls. is dropped from a height of 18 ft., how far will it travel before coming to rest ?

• A. 99 ft

• B. 90 ft

• C. 19 ft

• D. 9 ft

Determine the correct equation for the line with a slope y-intercept of -4.

• A. y = -1/7x - 4

• B. y = 7x - 4

• C. y = 7x + 4

• y = -7x + 4

9. Find the area of the polygon with vertices at:

2 + 3i, 3 + I, -2 - 4i, -4 - i, -1 + 2i.

• A. 47

• C. 25

• B. 35/2

• D. 47/2

Find the area of the region enclosed by the triangle with vertices (1, 1), (3, 2) and (2, -4).

• A. 7/2

• B. 5/2

• C. 1/2

• D. 3/2

• A. -1/4

• B. -12 + 6i

• C. -4/3 - 4i

• D. Square root of 2 ( 1 + i ) /2.

If the general equation of the conic 15 A x» + B xy + C y» + D x + E y + F + 0 and B2 - 4AC > 0, then the conic is _________.

• A. ellipse

• B. circle

• C. hyperbola

• D. parabola