Ms_Stormy

A=23, B=21, a =42.8

(a.) C = 137 , b = 76.1, c = 39.3

(b.) C = 137 , b = 39.3, c = 76.1

(c.) C = 136 , b = 39.3, c = 76.1

(d.) C = 136 , b = 76.1, c = 39.3

I think the answer is (d) is this correct.

Thanks

(a.) sin a

(b.) sin a cos2 b - sin a sin2 b

(c.) 2sin b cos b(sin a - cos a)

(d.) sin a cos b - cos a sin b

Evaluate the expression without using a calculator

log4 2

(a.) 4

(b.) 2

(c.) 1/2

(d.) 1

I think the answer is (a).

The function f(x) = x3describes the volume of a cube, f(x), in cubic inches, whose length, width, and height each measure x inches. If x is changing, find the average rate of change of the volume with respect to x as x changes from 4 inches to 4.1 inches.

Is "42.21 Cubic Inches per inch" the correct answer, I'm a little unsure.

Thanks

Write a formula for the general term (the nth term) of the arithmetic sequence. Do not use a recursion formula. Then use the formula for an to find the indicated term of the sequence.

Find a_11; 12, 10, 8, ...

(a) .32

(b) -8

(c) .-10

(d) .34

A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow. If the pointer is spun twice.

(a) 1/18

(b) 1/3

(c) 1/6

(d) 1/9

Thanks, I'm having a little trouble with my homework assignment.

Thanks

A baseball pitcher throws a baseball with an initial velocity of 133 feet per second at an angle of 20 to the hoizontal. The ball leaves the pitcher's hand at a height of 5 feet. Find parametric equations that descrive the motion of the ball as a function of time. How long is the ball in the air?

(a) x = 124.98t; y = 16t^2 + 45.49t + 5

2.729 sec

1.422 sec

4.983 feet

(b) x = 124.98t; y = -16t^2 + 45.49t + 5;

5.898 sec

1.422 sec

32.333 feet

(c) x = 124.98t; y = -16t^2 + 45.49t + 5

2.949 sec

1.422 sec

37.333 feet

(d) x = 124.98t; y = -16t^2 + 45.49t + 5;

5.457 sec

1.422 sec

263.668 feet

I'm leaning towards (b) but i'm not confident in that particular answer, any assistance would be greatly appreciated.

Thanks

A person with no more than $2000 to invest plans to place the money in two investments, telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 4 times the pharmaceuticals investment. Write a system of inequalities to describe the situation. Let x = amount to be invested in telecommunications and y = amount to be invested in pharmaceuticals.

(a) x + y = 2000, y ≥ 4x, x ≥ 0, y ≥ 0

(b) x + y ≤,2000, 4x ≤ y, x ≥ 0, y ≥ 0

(c) x + y ≤ 2000, x ≤ 4y, x ≥ 0, y ≥ 0

(d) x + y = 2000, x ≤ 4y, x ≥ 0, y ≥ 0

The company makes a $2.00 profit on each part A that it produces and a $6.00 profit on each part B that it produces. Let x = the number of part A produced in a week and y = the number of part B produced in a week. Write the objective function that describes the total weekly profit.

(a) z = 2(x - 6) + 6(y - 2)

(b) z = 8(x + y)

(c) z = 2x + 6y

(d) z = 6x + 2y

A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for $20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales?

(a) 132 bottles of white and 14 bottles of red

(b) 76 bottles of white and 42 bottles of red

(c) 14 bottles of white and 132 bottles of red

(d) 42 bottles of white and 59 bottles of red

The width of the roadway is 38 feet and the height of the arch over the center of the roadway is 10 feet. Two trucks plan to use this road. They are both 8 feet wide. Truck 1 has an overall height of 9 feet and Truck 2 has an overall height of 8 feet. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.

(a) Truck 1 can pass under the bridge, but Truck 2 cannot.

(b) Both Truck 1 and Truck 2 can pass under the bridge.

(c) Truck 2 can pass under the bridge, but Truck 1 cannot.

(d) Neither Truck 1 nor Truck 2 can pass under the bridge.

x^2 = 36y

(a) focus: (9, 0); y = 9

(b) focus: (0, -9); x = -9

(c) focus: (0, 9); y = -9

(d) focus: (9, 0); x = 9

I think it's (d), but I'm not sure, if you could explain the answer that would be great;

Thanks

x^2 + y^2 = 113

x + y = -15

(a) {(7, 8), (8, 7)}

(b) {(–7, –8), (–8, –7)}

(c) {(–7, 8), (–8, 7)}

(d) {(7, –8), (8, –7)}

I worked the problem and got (b) is this correct? if not can you please show me the steps to acheive the correct answer?

Thanks

Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solutions.

x + y = -3

-2 + y = -3

(a) (0, -5)

(b) (0, 0)

(c) (-2, -1)

(d) (-2, -3)

I worked the problems and got (c) (-2,-1) is this correct, if not can you please show the steps to obtain the correct answer?

Thanks

Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.?

B=29 degree

C= 112 degree

b = 35

(a) A = 37, a = 68.9, c = 47.4

(b) A = 37, a = 66.9, c = 45.4

(c) A = 39, a = 45.4, c = 66.9

(d) A = 39, a = 47.4, c = 68.9

if you could please explain the steps that would be great. Also if you have any helpful precalculus weblinks that would be awesome.

Thanks

Use a half-angle formula to find the exact value of the expression: sin 22.5 degree

(a) -1/2 √2+√2

(b) 1/2 √2+√2

(c) -1/2 √2-√2

(a) 81^b = 4

(b) 4^b = 81

(c) b^4 = 81

(d) 81^4 = b

(a) Quadrant I

(b) Quadrant II

(c) Quadrant III

(d) Quadrant IV

Evaluate the expression without using a calculator:

log4 1/6

(a) 1/2

(b) 8

(c) -2

(d) 2

Approximate the number using a calculator. Round your answer to three decimal places:

6√7

(a) 139,968.000

(b) 15.875

(c) 114.497

(d) 343.000