Answers created by Somebody N.

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• How do you solve # 6x+5y = 8# and #3x-y = 7# using matrices?
  
• What is the average rate of change of the function from x1 to x2? f(x) = -3x^2 - x from x1 = 5 to x2 = 6
  
• Suppose one of your ancestors invested $500 in 1800 in an account paying 4% interest compounded annually. How do you write an exponential function to model the situation?
  
• How do you find formula for the exponential function in the form of f(x)= Ca^x given f(0)=3 and f(1)=15?
  
• (6, n) is a solution to the inequality #y+3<= (x-4)#. Is 3 a possible value for n?
  
• Kate cut a 100-foot rope into two pieces. One piece was 5 feet longer than 4 times the length of the others. What is the length of each piece?
  
• The second and ninth terms of an arithmetic sequence are 2 and 30, respectively. What is the fiftieth term?
  
• How do you solve #Ln (x-1) + ln (x+2) = 1 #?
  
• An arithmetic sequence is given by 5, 8, 11,... How do you find the value of d?
  
• How do I find the vector parametric equation for this line, where The planes x−4y+4z=−24 and y−5x−2z=10 are not parallel, so they must intersect along a line that is common to both of them.?
  
• How many even numbers can be formed if the digits of the number 112433 are rearranged?
  
• Find the horizontal asymptote of the graph of y=-4x^6+6x+3/8x^6+6x+5?
  
• How do you verify if #f(x)=x^5; g(x)root5x# are inverse functions?
  
• How do you determine if #y= 3 + 2x# is an even or odd function?
  
• How do you use logarithms to solve for x in #5^(x+1)=24#?
  
• How do you solve #log_2(2x)=log_2 100#?
  
• How do you solve #log_2x+log_2(x+2)=log_2(x+6)#?
  
• How do you compute the dot product to find the magnitude of #u=<-5,12>#?
  
• During the first month after the opening of a new shopping home, sales were $72 million. Each subsequent month, sales declined by the same fraction. If the sales during the third month after the opening totaled $18 million, what is that fraction?
  
• What is the inverse function of #f(x) = 2x + x^(1/2)#?
  
• How do you find the axis of symmetry if only given points (1,-3) and (9,-3)?
  
• How do you solve #ln x - ln (x-1) = 2#?
  
• How to fi the final form of the augmented matrix when solving for the inverse of this system of equations? #2x+3y=4#nd #4x+5y=5#
  
• For the harmonic sequences given below, how to find the indicated term?
  
• What is the half-life of (Na^24) if a research assistant made 160 mg of radioactive sodium (Na^24) and found that there was only 20 mg left 45 h later?
  
• How many bacteria will be present after 5 hours if a culture of bacteria obeys the law of uninhibited growth where if 500 bacteria are present in the culture initially and there are 800 after 1 hour?
  
• How do you find all zeros of the function #f(x)=(x+5)^3(x-4)(x+1)^2#?
  
• How do you factor #216a^3b^3-343c^6#?
  
• How do you solve #2^(x-3)=32#?
  
• How do you solve for x in #log_6x=2-log_6 4#?
  
• How do you solve #(3/4)^x=27/64#?
  
• How do you solve #4e^x=91#?
  
• How do you solve #5log_10(x-2)=11#?
  
• How do you solve #Log(x-9) = 3-Log(100x) #?
  
• How do you solve #\sqrt { 169- x ^ { 2} } + 17= x#?
  
• The average bee only produces one-eighth teaspoon of honey in its lifetime. Also it takes 60,000 honey bees to produce 100 lb of honey. how much does a teaspoon of honey weigh Express the answer in ounces?
  
• How much interest did she earn? (compound interest)
  
• How do you use the properties of logarithms to expand #lnroot3(x^2/y^3)#?
  
• Which type of function should be used to model bacterial growth?
  
• Katie has 8 black marbles, 12 clear marbles, and 14 blue marbles in a bag. If she picks one at random, what is the probability that she will pick a black marble?
  
• Does the equation #3x + y = 6# represent a direct variation and if so, identify the constant of variation?
  
• Thoughts on the recent announcement made about the future of the Socratic website? Share them here!
  
• Solve the inequality 30/x-1 < x+2?
  
• Is #x^2>0# a statement or non-statement ?
  
• Which is the correct answer of statement h?
  
• Can someone tell me which statement is true for h?
  
• A 96-ounce bottle of laundry detergent can be used to wash 64 loads of laundry. What is the total number of loads of laundry that can be washed using a 60-ounce bottle of the same detergent?
  
• How do you write an equation in the form f(x) = kx^n for the direct variation functions given f(0.3) = 45 and n = 2?
  
• Can u help me find the rate of change is constant in each table? Find the rate of change. Explain what the rate of change means for the situation? Time (days) Cost ($) 3 75 4 100 5 125 6 150
  
• Is #R(x)=4 ln(x)# an exponential function?
  
• One tube fills the pool in 15 hours. How many hours and minutes will it take to fill the pool with 4 same type tubes?
  
• What is a common ratio of -5, -20, -80?
  
• In a circle, the distance from a chord of length 12 units to the midpoint of its minor arc is 4 units. What is the radius of the circle?
  
• Could someone please help me find the length?
  
• In how many ways 3 girls and 3 boys be seated in a row of 6 chairs if 1 boy and 1 girl refused to sit next to each other?
  
• What is the domain and range for #y= -abs(x-5)#?
  
• If #r(x) = 2-x^2# and #w(x) = x-2#, what is the range of #(W*r)(x)#?
  
• Which of the given points would be in a table generated by the equation below?
  
• How do I solve for the area of a regular hexagon? One side is equal to 5 feet.
  
• Find the area enclosed by curves y=4x^2 and y=x+3 ?
  
• Standard form of x^2-8x+12?
  
• In triangleABC,angleBAC=90°and angleACB=30°.Then show that,AB=1/2BC.?
  
• If A(1,-3,2) find the coordinates of two points which are equidistant from A and have the magnitude of 5?
  
• If A(1,-3,2) find the coordinates of two points which are equidistant from A and have the magnitude of 5?
  
• Find the equation of the plane passing through the points (-1,1,1) and (1,-1,1) and perpendicular to the plane x+2y+2z=5 ?
  
• A 10' by 12' kitchen is to be tiled with 4" square tiles. How many tiles will it take to tile the kitchen floor?
  
• If the point(x,14)divides the line joining the points (7,11) and (-18,16),find the value of x?
  
• Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. After how many weeks will Megan and Connor have saved the same amount?
  
• How do you find the domain and range of #root5(-4-7x)#?
  
• Arectangular garden has a width of 5 feet and a length of 10 feet. If an equal amount is added to both the width and the length, the area is increased to 104 square feet. What is this amount?
  
• What is the length of HN¯¯¯¯¯¯ ? segment A N with point H between A and N. congruency markings on segment A H and segment H N. segment A N is labeled as being 38 units long
  
• Allie used 14.0m3 of cement to make a square patio. if the thickness of the patio is 20 cm, the length of the patio must be?
  
• What is the domain and range of #f(x) =e^x#?
  
• How do you factor #9-2x=3x^2#?
  
• A regular octagon with sides of length x cm has an area 240 cm2. calculate the value of x, leaving your answer to 2 decimal places?
  
• Two equal sides of a triangle are (5x+3) and (6x-3).find value of x .if the perimeter is 141 cm .find third side?
  
• Does 5+(11+8)=5+8+11. Illustrate the commutative the commutative or associative property? explain your answer
  
• Organize the functions from the least to greatest according to their y-intercepts.?
  
• Find the equation of the circle passing through (2,3) (6,1) & (4,-3)?
  
• Find m∠ABD and m∠CBD given m∠ABC = 77∘. Help?
  
• What is the volume of a sphere with a diameter of 12 cm?
  
• X squared-11x+19=-5 in factored form?
  
• If A and B are invertible matrices, and AB=C, is C invertible?
  
• How to find first term and commond difference if the only given are the last term (80) and sum of first 10 terms (530)?
  
• A line passes through #(4 ,3 )# and #(2 ,6 )#. A second line passes through #(1 ,8 )#. What is one other point that the second line may pass through if it is parallel to the first line?
  
• Find the value of x that makes m parallel to n?
  
• Write the standard form of equation of a circle having a diameter whose endpoints are ( 3,-2 ) & ( 2,9 )?
  
• 40 m is what percent of 14km?
  
• I am doing vector diagrams with two vectors and you have to find the direction and magnitude of the resultant vector. How do I know which angle to use to describe the direction of the vector?
  
• The angles of a triangle are 2x, (2x+1), and (2x+13). Find all the angles?
  
• A man started painting a wall of 9:00 a.m. and was able to finish painting 3/5 of it at 10:30 a.m. continuing at this rate at what time will he finish painting the wall? a. 10:45 a.m. b. 11:30 a.m. c. 11:45 a.m. d. 12:15 p.m.
  
• I have a circular necklace with #18# beads on it. All the beads are different. Making two cuts with a pair of scissors, I can divide the necklace into two strings of beads. If I want each string to have at least #6# beads, how many differe?
  
• Of 3,600 students surveyed, 40% eat cold pizza for breakfast. How many students do not eat cold pizza for breakfast?
  
• Completing the square process, I don't quite understand it yet, can someone explain step by step? X^2+10x+16=0
  
• Find the perimeter of a quadrant with radius 3.5cm?
  
• A rectangle has a perimeter of 48 ft. The length and width are scaled by a factor 1.5. What is the perimeter of the resulting rectangle?
  
• On a 600-mile trip, Andy averaged 5 miles per hour faster for the last 128 miles than he did for the first 472 miles. The entire trip took 10 hours. How fast did he travel for the first 472 miles?
  
• Solve for x?
  
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