Questions asked by IsYaNa M

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• Suppose that y varies directly with x, and when y is 16, x is 8. a. What is the direct variation equation for the data? b. What is y when x is 16?
  
• Suppose that y varies directly with x, and when y is 2, x is 3. a. What is the direct variation equation for the data? b. What is x when y is 42?
  
• A recipe for 2 dozen chocolate cupcakes requires 3 cups of flour. The number of cupcake varies directly with the amount of flour used. What is the direct variation equation for the relationship between the number of cups of flour and cupcakes made?
  
• Time varies inversely with speed if the distance is constant. A trip takes 4 hours at 80 km/h. How long does it take at 64 km/h?
  
• The length of the base of a triangle with constant area varies inversely with the height. When the base is 18 cm long, the height is 7 cm. What is the length of the base when the height is 6 cm?
  
• A recipe for 2 dozen chocolate cupcakes requires 3 cups of flour. The number of cupcake varies directly with the amount of flour used. What is the direct variation equation for the relationship between the number of cups of flour and cupcakes made?
  
• How to simplify (4x+5)^0 and what is the answer in positive exponential notation?
  
• How do we simplify #(3a^(-5)b^2)/(18ab^(-3))# and get the answer in the positive exponential notation?
  
• How to simplify #((3x^-1)/(9y^2))^-2# and have the answer in positive exponential notation?
  
• How to simplify #(16^(-1/4))^3# using the different laws of exponents?
  
• Applying the laws of exponents, how do we simplify #(16^(-1/2))^(-1/2)# ?
  
• In #4^(2x)=16#, how do we solve for x?
  
• In #7^(x+2)=343#, how do we solve for x?
  
• How to simplify #(-3x^-2y)^-1# in the positive exponential notation?
  
• In the positive exponential notation, how do we simplify #((3x^-1)/(9y^2))^-2# ?
  
• Applying the different laws of exponents, how to simplify #(16^(1/2))^4# ?
  
• Applying the different laws of exponents, how to simplify #6^(5/3)/(6^(2/3))# ?
  
• What is the product of #sqrt5sqrt15#? How to simplify the answer completely?
  
• How to multiply #2(sqrt3-sqrt5)#? How to simplify the answer here?
  
• What is the possible answer for #sqrt2(sqrt6+sqrt10)#? How to simplify the answer here?
  
• What is the possible answer for #sqrt2x(sqrt8x-sqrt32)#? How to simplify the answer too?
  
• How to find the answer for #4sqrtx(2sqrtx+3sqrt7)# and simplify it too?
  
• What is the possible answer for #(sqrt10-5)(sqrt10+2)#? How to simplify the answer? Thank you for the help.
  
• What is the possible answer for #(sqrtx-sqrt7)(sqrtx+sqrt7)#? How to simplify the answer too? Thanks
  
• How to answer #(4+5sqrt3)^2# ? How to simplify the answer here?
  
• What is the possible answer for #sqrt27/16# ? How to simplify the answer? Thanks much here.
  
• What is the possible answer for #5/sqrt10# ? How to simplify the answer here?
  
• Which type of intermolecular force of attraction is present in the given pair of molecules, #I_2-I_2# and HCl-HCl?
  
• Which type of intermolecular force of attraction is present in #CH_4-C_6H_6# and #NH_3-H_2O#?
  
• How to solve for x in the equation, #sqrt(x-3)=4# showing the complete solution?
  
• How to solve for x in the equation, #sqrt(3x-6)-2=1# with complete solution? Thanks for the help.
  
• In the equation, #x-sqrt(x-4)=4#, how do we solve for x, showing the complete solution? Thanks
  
• How to solve for x in the equation, #sqrt(x+4)-sqrt(x-4)=2#? Please show the complete solution. Many thanks.
  
• How to find x in #sqrt(x+3)+sqrt(2-x)=3#? Please show complete solution. Thanks so much.
  
• Which type of intermolecular force of attraction is present in the given pair of molecules, #CH_4 - C_6H_6# and #NH_3 - H_2O# ?
  
• What type of intermolecular force of attraction is present in the given pair of molecules, #NaCl - H_2O# ?
  
• How to simplify the expression #3sqrt(-64x^360y^18)# ?
  
• How simplify #2msqrt(700m^4)-msqrt(175m^4)#?
  
• How to rationalize the denominator here, #4/(sqrt7 - 2# ?
  
• How to divide #sqrt6/(sqrt5+sqrt2# ?
  
• If #sqrt(x-1)=2#, what is #(x - 1)^2# ?
  
• How many molecules are contained in 3.79 mol of chlorine gas #(Cl_2)# ?
  
• A sample of nitrogen gas #N_2# weighs 42.8 g. How many molecules of #N_2# are present in this sample? How many atoms of N do these represent?
  
• What is the mass in grams of #5.3 xx 10^23# molecules of carbon dioxide #(CO_2)#?
  
• How many molecules of oxygen #(O_2)# are required to produce one drop (0.010 g) of water?
  
• How to solve the equation, #sqrt(5x+6)=x# ?
  
• How to simplify the expression #(-8)^(2/8)# ?
  
• Using ratio and proportion, what is the cost of 9 pizzas if 5 pizzas cost 60 pesos?
  
• Using ratio and proportion... pls help me solve this one. 12 miles is approximately equal to 6 kilometers. (a) How many kilometers are equal to 18 miles? (b) How many miles are equal to 42 kilometers?
  
• Is 3:4 = 6:8? Is it true or false and why?
  
• How do I find the missing number in the following proportion? ___: 8 = 12:32
  
• Assuming that the triangles below are similar? How do I find the scale factor and the length of the missing sides?
  
• How do I find the missing parts in the diagrams below?
  
• How to find for the missing parts in the following diagrams below?
  
• Given the diagrams here, how do I find all the missing parts?
  
• Each diagram below shows a right triangle with the altitude drawn to the hypotenuse. How do I find the value of x, y and z?
  
• How do I complete the statements for the following figure?
  
• Given the 2 sets of figures below, are the pairs of triangles similar for both set a and set b? Why or why not? What is the similarity statement and the scale factor?
  
• Each diagram below (figures a and b) shows a trapezoid and its median, how do I find the value of x?
  
• Each diagram below (figures 1 and 2) shows a trapezoid and its median, how do I find the value of x?
  
• How do I find the measures of the numbered angles in each kite below?
  
• An equilateral triangle has an altitude of 12 cm, find the following; a.) what is the length of each side of the triangle ? b.) what is the area of the triangle?
  
• Bronze is made of copper and tin with a 9.2 ratio respectively, how much copper would be needed to make 16.5 kilograms of bronze?
  
• What is the length of the altitude of an equilateral triangle whose perimeter is 15 inches?
  
• What is the geometric mean between 3 and 18?
  
• The diagonal of a square is 26 inches, what is the length of the side and the perimeter of the square?
  
• How do I draw the right triangle ABC whose sides have the following values given below, and then find the six trigonometric functions of each triangle’s angle A? a = 2, b= #sqrt5# , c = 3
  
• How do I give the complement of the following? #40^0# #18^0# #58^0#20
  
• How to solve for the variables of the figures below?
  
• How do I solve for the variables of the figures given here?
  
• Please help me how can I draw the right triangle ABC whose sides have the following values given below, and also find the six trigonometric functions of each triangle’s angle A? a = 9, b = 40, c = 41
  
• How do I draw the right triangle ABC whose sides have the following values given below, and then find the six trigonometric functions of angle A? a = 2, b= √5, c = 3
  
• How do I solve for the variables of the figures below here?
  
• How do I solve the problem given here? A kite is 120 ft high when 650 ft of string was out. What angle does the kite make with the ground, assuming that the string is directly tethered to the ground?
  
• Please help me solve the trigo word problem here... Jack and Jill both start at point A. They each walk in a straight line at an angle of 105 degrees to each other. After 45 minutes Jack has walked 4.5 km and Jill has walked 6 km. How far apart are they?
  
• A water falls is approximately 90m high. Assume that all of the potential energy possessed by the water at the top is completely converted to heat energy.What will be the temperature difference between the water at the top and at the bottom of the falls?
  
• What other two examples of daily life situations can demonstrate the transformation of heat into mechanical energy?
  
• A 42-kg child slides from the top of a 3.0m high playground slide. With that speed will the child reach the bottom of the slide assuming: a.) there is no friction? b.) 23 J energy is dissipated due to friction?
  
• In a scene of a movie, the superhero grabs the villain by the neck and throws him forward. The superhero, however, remains stationary. Does this scene violate the law of conservation of momentum? Why or why not?
  
• During collisions, more massive vehicles provide greater safety than smaller ones. How to explain this on the basis of conservation of momentum?
  
• How similar or different are the magnetic field patterns produced by two bar magnets when; a.) like poles are facing each other? b.)when unlike poles are facing each other?
  
• How to calculate the slope of the line shown on the figures given below?
  
• Given the figure below, how do I calculate the slope of the line here?
  
• How do I calculate slope of the line that passes through the labeled points on the given graphs below?
  
• How to find the slope of each line on the figures below? Are the lines parallel?
  
• How to write an equation of the line for the given below? slope = 4 y-intercept = 5
  
• How do I write an equation of the line for the givens below? (a) parallel to y = 2x-5; y-intercept = 1/3 (b) parallel to y = -3x+7; y-intercept = 0 (c) parallel to y = x-1; y-intercept = 3/4
  
• Are the lines perpendicular on the given slopes of two lines below? (a) #m_1=2, m_2=1/2# (b) #m_1=-1/2, m_2=2# (c) #m_1=4, m_2=-1/4# (d) #m_1=-2/3, m_2=3/2# (e) #m_1=3/4, m_2=4/3#
  
• Lines a and b are perpendicular, the slope of line a is given below. What is the slope of line b? (A) 3 (B) 3/4 (C) -2 (D) -5/2 (E) -1/2 (F) 2/5 (G) 1
  
• How to decide whether lines p_1 and p_2 are perpendicular on the given set of items below? (a) line #p_1: y=3x+5# line #p_2: y=1/3x+5# (b) line #p_1: 3x+5y=12# line #p_2: 5x+3y=18# (c) line #p_1: 4x-2y=6# line #p_2: 2x+4y=6#
  
• Line j is perpendicular to the line with the given equation and line j passes through P. How do I write an equation of line j on the givens below? (A) #y=1/3x+4, P(0, 5)# (B) #y=3x+4, P(0, -2)# (C) #y= -4/5x+4, P(1, 1)# (D) #y=2/3x+4, P(2, 0)#
  
• How to write an equation parallel and perpendicular to the given lines below? (a) #y=2x-4# (b) #y= -x+5# (c) #y=1/3x-2#
  
• How to find and write the first four terms of the sequences below with the given general term? (1) #a_n=(-1)^(n+1)#(n+4) (2) #a_n=(-1)^(n-1)n^2#
  
• With the given pattern that continues here, how to write down the nth term of each sequence suggested by the pattern? (A) -2,4,-6,8,-10,.... (B) -1,1,-1,1,-1,.....
  
• How to express each sum using summation notation? (1) #sqrt1#+#sqrt2#+#sqrt3#+#sqrt4# (2) #-1/2#+#1-3/2#+#2-5/2#+3
  
• How do I express each sum using summation notation here? (1) #1*2+2*3+3*4+4*5# (2) #1/2#+#1/4#+#1/8#+...+#1/2^n#
  
• How to write the 1st four terms of each sequence given the general term below?
  
• Given the nth term for each arithmetic sequence, how to find the common difference and write out the first four terms here? (1) #a_n=2n+7# (2) #a_n=3n-2#
  
• How to find the common difference and the nth term of the arithmetic sequence below? #8, 7 3/4 , 7 1/2, 7 1/4, .... #
  
• How do I find the nth term of the arithmetic sequence whose initial term and common difference d are given below? (A) #a_1=4, d=3# (B) #a_1= -8, d=5#
  
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