Math Questions

Solve the equation by factoring. x² = 6x +27 Rewrite the equation in factored form. (x+3)(x-9) = 0 (Factor completely.) The solution set is

A box contains 36 orange golf balls, 28 white golf balls, and 92 yellow golf balls. If a golf ball is drawn at random from the box, find the probability that it will NOT be an orange ball. Write your answer as a fraction in simplest form. (Use the /symbol to write your fraction, ex. 1/2) Hint: 1 - P(Orange Ball) The probability is

The average adult heart pumps about 84. mL/s of blood at 72 beats per minute. Suppose you need to calculate how long it would take the average heart to circulate 7300. mL of blood. Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.

What is the diameter of a sphere with a volume of 89110 cm³, to the nearest tenth of a centimeter?

Solve the quadratic equation using the square root property. (x-7)² = -3 The solution set is (Simplify your answer. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

The number of credits being taken by a sample of 13 full-time college students are listed below. Find the mean, median, and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. 8 8 11 11 8 7 7 7 9 7 7 7 10 A. The mode(s) is/are 7. (Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as needed.) B. The data set does not have a mode. Does (Do) the mode(s) represent the center of the data? A. The mode(s) represent(s) the center. B. The mode(s) does (do) not represent the center because it (one) is the largest data value. C. The mode(s) does (do) not represent the center because it (they) is (are) not a data value. D. The mode(s) does (do) not represent the center because it (one) is the smallest data value. E. The data set does not have a mode.

Which of the following values of x makes the rational expression below equal to zero? x-3/x-9 A. 12 B. 9 C. 3 D. 6

There are 2.5 oranges per pour and 1.1 grapefruit per pound. With $50 you can buy 36 pounds of oranges or 45 pounds of grapefruit. If you have enough money to buy 37 pounds of grapefruit, how many oranges (to the nearest whole orange) could you buy instead? 116 74 90 30 33

What is the volume of a hemisphere with a diameter of 7.1 ft, rounded to the nearest tenth of a cubic foot?

A circle has a radius of 11 m. Find the radian measure of the central angle that intercepts an arc of length 5 m.

A bicyclist heads east at 19 km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 30 km/h. About how long will it take the second cyclist to catch up to the first cyclist? A It will take the second cyclist 3.2 hours to catch up the first cyclist. B It will take the second cyclist 2.2 hours to catch up the first cyclist. C It will take the second cyclist 3.7 hours to catch up the first cyclist. D It will take the second cyclist 1.7 hours to catch up the first cyclist.

A person came to work at 8:30 AM, went out at 11:45 AM, had lunch, came in at 12:30 PM, and left work at 5:15 PM. The total number of hours worked by this person was a. 7 hours b. 7 hours, 15 min c. 8 hours d. 8 hours, 45 min

If Tamara walks 3.5 miles in 0.75 hour, how far will she walk in 1 hour if she walks at the same pace? A. 0.078 miles C. 1.29 miles B. 4.67 miles D. 4.3 miles

A bag contains 18 red chips, 16 blue chips, and 14 yellow chips. A chip is selected, replaced, then another chip is chosen. Find each probability. (independent events) (Write your answers as a reduced fraction using the / symbol as your fraction bar.) P (blue then red) P(yellow then blue)

The years that a television show on a particular network won an award for best drama series are shown below. 1955 1971 1975 1983 1989 1993 2003 2005 2012 Determine the level of measurement of the data set. Explain your reasoning. What is the level of measurement of the data set? Explain your reasoning. A. Ratio. The data can be ordered and differences between data entries are meaningful, and a zero entry is an inherent zero. B. Ordinal. The data can be arranged in order, or ranked, but differences between data entries are not meaningful. C. Nominal. No mathematical computations can be made. D. Interval. The data can be ordered and differences between data entries are meaningful, but a zero entry is not an inherent zero.

A vector u has initial point (3, 4) and terminal point (5, 1). Write u in the form u = ai+bj. u=

The osmotic pressure exerted by a solution is equal to the molarity multiplied by the absolute temperature and the gas constant R. Suppose the osmotic pressure of a certain solution is measured to be 19. atm at an absolute temperature of 363. K. Write an equation that will let you calculate the molarity c of this solution. Your equation should contain only symbols. Be sure you define each symbol other than R.

Over the last three evenings, Jina received a total of 101 phone calls at the call center. The third evening, she received 4 times as many calls as the first evening. The second evening, she received 5 more calls than the first evening. How many phone calls did she receive each evening? Number of phone calls the first evening: Number of phone calls the second evening: Number of phone calls the third evening:

Consider the line y=-9x+7. Find the equation of the line that is perpendicular to this line and passes through the point (5, 6). Find the equation of the line that is parallel to this line and passes through the point (5, 6). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of perpendicular line: Equation of parallel line:

Solve the quadratic equation by the square root property. 6x²=24 The solution set is

Find the direction angle of the vector v=-8i-7j. That is, find the angle between 0° and 360° that v makes with the positive x-axis (measured counterclockwise), when v is in standard position. Do not round any intermediate computations, and round your answer to the nearest whole number.

Suppose the value R (d) of d dollars in euros is given by R (d)= 5/6 d. The cost P (n) in dollars to purchase and ship n purses is given by P (n)=55n+23. Write a formula for the cost Q (n) in euros to purchase and ship n purses. It is not necessary to simplify. Q(n) =

Consider the line y= 5/ 9x-1. Find the equation of the line that is perpendicular to this line and passes through the point (9, 3). Find the equation of the line that is parallel to this line and passes through the point (9, 3). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of perpendicular line: Equation of parallel line:

The letters r and θ epresent polar coordinates. Write the given equation using rectangular coordinates (x,y). r = 16 Complete the general form of the equation using rectangular coordinates. 0=

The volume (r) (in cubic meters) of a spherical balloon with radius r meters is given by V(r) = 4/3πr³. The radius W (t) (in meters) after t seconds is given by W (t) = 5t+3. Write a formula for the volume M (t) (in cubic meters) of the balloon after t seconds. It is not necessary to simplify. M(t) =

Uma uses 5 gallons of red paint for every 2 pints of green paint. What is the rate of gallons of red paint to 1 gallon of green paint? 20 gallons of red paint/1 gallon of green paint 10 gallons of red paint/1 gallon of green paint 8 gallons of red paint/1 gallon of green paint 5 gallons of red paint/1 gallon of green paint

Consider the line y=-4/3x-8. Find the equation of the line that is parallel to this line and passes through the point (8, 6). Find the equation of the line that is perpendicular to this line and passes through the point (8, 6). Note that the ALEKS graphing calculator may be helpful in checking your answer, Equation of parallel line: Equation of perpendicular line:

Given this function: f(x)=35+arcsin(x/11) an equation for the line tangent to the graph of y = f(x) at the point where x=11/2 is:

A vector w has initial point (5,-2) and terminal point (-1, -3). Write w in component form. W =

The volume of a cylinder is 20 cubic inches. If the radius of the bases of the cylinders is tripled, what will the new volume be? (How is the radius of a cylinder related to the volume of a cylinder?)

Solve the quadratic equation by completing the square x² +6x+4=0. To complete the square, what number should be added to both sides of the equation?

Solve the quadratic equation by completing the square. x² - 10x+12=0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas. Form: Solution:

The cost, y, of a frult drink is proportional to x, the number of fruit drinks. The constant of proportionality Is 3.25. Which will check that y is proportional to x? Graph y = 3.25 x and check that the graph is a straight line that goes through (1, 3.25). Graph y = 3.25 x and check that the graph is a straight line that goes through (0, 0). Graph x = 3.25 y and check that the graph is a straight line that goes through (0,0). Graph y = 3.25 x and check that the graph is a straight line that goes through (0, 1).

Deshaun wants to buy a bond that will mature to $4500 in eight years. How much should he pay for the bond now if it earns interest at a rate of 2.5% per year, compounded continuously?

Find the exact value of cos(u + v) given that sin u =4/5 with u in quadrant II, and sin v=12/13 with v in the quadrant II. (Simplify your answer. Type an integer or a simplified fraction.) cos (u + v) =

The vertex form of the equation of a horizontal parabola is given by z= 1/4p(y-k)2+h, where (h, k) is the vertex of the parabola and the absolute value of p is the distance from the vertex to the focus, which is also the distance from the vertex to the directrix. You will use GeoGebr to create a horizontal parabola and write the vertex form of its equation. Open GeoGebra , and complete each step below. Part A Mark the focus of the parabola you are going to create at R(-5, 2). Draw a vertical line that is 8 units to the right of the focus. This line will be the directrix of your parabola. What is the equation of the line?

Fill in the blank. To solve x² +6x=5 by completing the square, add___to both sides of the equation. To solve x² + 6x = 5 by completing the square, add to both sides of the equation.

There are 6 grams of fat per serving in granola. Each serving provides 180 calories. There are 9 calories of fat in each gram. The percentage of calories from fat in granola is a. 20% b. 30% c. 54% d. 67%

Joanne owns a brick home with a full value of $97,000. The coverage rate for her homeowners insurance is 0.325%. The cost of Joanne's homeowners insurance is a. $298.46 b. $315.25 c. $325.00 d. $3,152.50

The population of California is approximately 38,040,000. The population of Texas is about 2.606 x 107. What is the approximate total population of these two states? 40.646 * 107 40.646 × 106 6.410 × 107 6.410 × 1014

A guy wire to the top of a tower makes an angle of 66° with the level ground. At a point 30 feet farther from the base of the tower and in line with the base of the wire, the angle of elevation to the top of the tower is 29°. What is the length of the guy wire? 24.17 ft 15.92 ft 56.53 ft 45.54 ft

Find the probability that when a couple has 2 children, they will have exactly 1 boy. Assume that boys and girls are equally likely and that the gender of any child is not influenced by the gender of another child.

Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place. S = 4LW + 2WH; S = 170, L= 7, W=5. (Surface area of a special rectangular box)

A vector w has initial point (0, 0) and terminal point (-3,-2). Write w in the form w=ai+bj.

Find the direction angle of the vector u = -7i+4j. That is, find the angle between 0° and 360° that u makes with the positive x-axis (measured counterclockwise), when u is in standard position.

The velocity of an object is the distance it travels per unit time. Suppose the cm velocity of a gliding bird is measured to be 197cm/s Calculate the time it will take S the bird to travel 3.7 m.

A box has twelve balls in it, seven white and five red. We select one ball, do not put it back in the box, and select a second ball, etc. We are not returning any balls to the box. So we are selecting multiple balls from the box. Find the probability of the following events (each scenario below is separate and is not dependent upon another): a. The probability of selecting a white ball on the first draw and selecting a white ball on the second draw. b. The probability of selecting a white ball on the first draw and selecting a red ball on the second draw. c. The probability of selecting a red ball on the first draw, selecting a white ball on the second draw and selecting a white ball on the third draw. 30 916 tedt ginays to sing sediazab bna 91691) 81 d. The probability of selecting a red ball on the first draw, selecting a red ball on the second draw, selecting a white ball on the third draw and selecting a white ball on the fourth draw.

Graph the solution of the following system. y ≥ 4x-3 y<5/6x

Which equation has the same solution as x² 13x + 3 = -7? (x+6.5)² = −52.25 (x − 6.5)² = 32.25 (x+6.5)² = 32.25 (x − 6.5)² = -52.25

A chemistry student needs 20.0 g of tetrahydrofuran for an experiment. By consulting the CRC Handbook of Chemistry and Physics, the student discovers that the density of tetrahydrofuran is 0.889 g cm-3 Calculate the volume of tetrahydrofuran the student should pour out. Be sure your answer has the correct number of significant digits.