Algebra question and answers for October 17, 2023
- Q What is the volume, in cubic in, of a rectangular prism with a height of 5 in, a width of 12 in, and a length of 14 in?
- Q T and K is the overlap so 8 + 23 = 31C is 9+16 +23+15= 63So (T and K) OR C is (T and K) + C- (overlap already accounted...
- Q A plane has x = 2m, y = -3m + 5n, z = -1 - 3m - 2n, m, n ? R, as its parametric equations.a. By inspection, identify the...
- Q Find the volume of a sphere with a radius of 2.Hint: To add the pi symbol (TT), type "pi"Check
- Q Write in terms of i.7?-18
- Q Read the following scenario:Sam knew that if he was going to save his money to rent alimo for prom that he would not be able to go out to eat...
- Q Express in terms of i.?-64?-64 =(Simplify your answer. Type an exact answer, using radicals and i as needed.)
- Q The expression (3ab?c?) (2abc) equals na? b? c? where n, the leading coefficient, is:and r, the exponent of a, is:and s, the exponent of b, is:and finally t, the exponent...
- Q A rectangular swimming pool has a base that is10m by 20m. Water is being pumped into the pool at a rate of 30 m. How fast is the water level...
- Q Application Toward the end of the year, to make room for next year's models, a car dealer may decide to drop prices on this year's models. Imagine a car that...
- Q The direction cosines of the line passing through the two points(-2,4,-5) and (1, 2, 3)(A) ( 3 / ?77 ) , ( -2 / ?77 ) , ( 8 /...
- Q You owe $561.54 on your credit card. Your average daily balance is $220.77, the billing cycle is 32 days, and the interest rate on the credit card is 19%. What...
- Q The profits for a company were $18.2 million in 2008 and have increased each year by $1.6 million. Let t represent the years since 2008. Set up and solve a...
- Q Multiply (8 +8i)(7 + i).(8 +8i)(7 + i) = _______(Simplify your answer. Type your answer in the form a +bi.)
- Q What is the parent function for this graph? (a) f (x)= 2^x Exponential(b) f(x) = x Linear(c) f(x)=1/x Rational (reciprocal)(d) f(x) = x Quadratic
- Q What is the total variance of the following portfolio consisting of 2 assets invested in the ratio of 1:2.Asset A: E(r) = 0.2. ?= 0.5Asset B: E(r) = 0.4, ?=0.7Correlation:...
- Q What is the product z?z? in polar form? z?=3cis(?/2) z?=6cis(?/4)a. 18 cis(3?/4)b. 3cis(3?/4)c. 3cis (?/4))d. 3cis(?/4)e. 18cis(?/4)
- Q Given the expressions 24m?np? and 18m?n(m + 5n)?, find the GCF.Provide your answer below:
- Q Graph: y < x - 3Make sure to choose the correct type of line - either solid or dotted. Click on two points to specify the line and then click...
- Q Your purchase costs $4,900.25, including tax. You sign an installment loan to pay $1,200 as a down payment. The remainder including the finance charge will be paid in 40 monthly...
- Q Multiply (? + 2i)(? - 2i)(? + 2i)(? - 2i) = ________
- Q Find all solutions to 2 cos(?) = -1 on the interval 0 <= ? < 2?.? =______
- Q Solve the following linear equation for x 4(5x-2)-3(x-8)= - 137A. X = -6 B. X = -9.9 (rounded to tenths) C.x = -9 D. X = -7.1 OE.X = -7.5...
- Q Write in terms of i 6?-(20).6?-(20) = ______(Simplify your answer. Type an exact answer, using radicals and i as needed.)
- Q Multiply. -9i + 8i- 9i + 8i = _____(Simplify your answer. Type your answer in the form a + bi.)
- Q a-9?16A) a ?-144 : -144 -140B) a ?-7: -8 -6 -4 -2 0C) a ?-25: -30 -28 -26 -24 -22 -20D) a ?- 16/9 : -8 -6 -4...
- Q Write the quotient in the form a + bi. (7-i) / (8-9 i)(7-i) / (8-9 i) = ______(Simplify your answer. Type your answer in the form a +bi. Use integers...
- Q Rockafella Savings and Loans offers its mostesteemed depositors an APR of 2.45%compounded continuously. Both Jay and Nelsondeposited $50,000 into such an account, but Jayplans to let it accrue interest for...
- Q How many four-digit numbers may be formed using elements from the set {1, 2, 3, 4, 5, 6} if elements may beused more than once in a number and the...
- Q Convert the exponential equations into logarithmic form:6 216 is equivalent to log C = D.C =and D =
- Q Five years ago, you acquired a 30-year loan of $130,950, charging 6.7% annual interest, compounded monthly, and requiring monthlypayments. At this time, interest rates on 15-year loans have dropped to...
- Q Write the name of the element family to which each of the elements in the following table belongs. Your answer should be a word or a short (2 or 3...
- Q In sketching the graph of y = 2 sin {3x - (?/5)} + 1. Find the ordered pair of the graph.A. {(17?/15), 1}B. {(17?/15), -1}C. {(17?/30), -1}D. {(17?/30), 1}
- Q Find the area of the region lying to the right of x = y + 7y + 10 and to the left of x = 2y + 6, (Use symbolic...
- Q How many valence electrons are in As??
- Q Solve. ?b-2 = 8One or more solutions, b=No solution
- Q A translation maps (x, y) to (x + 5,y + 3). In which quadront does the point (-3. -2) be under the same translation
- Q Sketch the curve given by y=?x and use transformations to sketch each of the following curve.2.1.2 y = ?x - 22.1.3 y = ?(x-2)2.1.4 y = -?x2.1.5 y = j?x
- Q What is the simplest form of (2+3i )+(4 - i) ?(A) None of the choices are correct.(B) 6 + 2i(C) ?2+41(D) 2i(E) 2
- Q Find the VERTEX of the given equation to the nearest tenthy = 3x + 4x-1(a) (0.3,1)(b) (-0.7, -2.3)(c) (-1.5, 0.2)(d) (0.7,0.3)
- Q What is the solution to ?(9x-28) = i , excluding extraneous roots?x = 3ix = 3None of the choices are correct.x =1 or 3x = -1 or -3.
- Q In order to add or subtract imaginary and complex numbers one mustNone of the choices are correct.use the order of operations and only add the imaginary parts, leave the real...
- Q Data from the Federal Bureau of Investigation show that the number of hate crimes in the United States decreased between two recent years, from 7785 incidents to 6606 incidents. What...
- Q If the denominator is in the form a-bi , then the conjugate is:(A) None of the choices are correct.(B) (a, b)(C) a-bi(D) a + bi(E) (a, -b)
- Q Use linear approximation to estimate the following. Also estimate the maximum error (with sign) in your approximation.(a) (1.999)?(b) sin 1(c) ?1001tan 44(d) 1/4.002(e) tan 44(f) ?99.8
- Q If x = 63, then:(A) x = 8(B) x = 21(C) None of the choices are correct(D) x= 10.5(E) x= ?63
- Q Write the sum as the logarithm of a single expression. Assume that variables represent positive numbers.log2 (3)+ log 2(Z)
- Q Using f(x)= (x/2)-30, determine f(-20)A. -20 B. 20 C. 40 D. -40
- Q Consider the graph of the function f(x) =(x - 81)/(x-5x-36) . Find the x-value of the removable discontinuity of the function.
- Q Find all solutions of the equation 2 sin x + ?3 = 0.The answer is A + Bk? and ?+ Dk? where k is any integer, 0<A <C< 2?,
- Q Use the distributive property. 4(5x+3y-7)= [? ]x + [ ]y + [ ]
- Q Evaluate the following expressions.(a) log3 3^8 =(b) log3 243 =(c) log5 625 =(d) log4 4 =
- Q Expressed in a + bi form, 5/3-4i is equivalent to
- Q A person standing close to the edge on top of a 56-foot building throws a ball vertically upward. The quadratic function h = 16t + 104t + 56 models the...
- Q For a class project, students in Health class ask every tenth student entering the school if they eat breakfast in the morning.
- Q solve the following LP using M-method. Maximize z = x? + 5x?3x?+ 4x? ? 6X? + 3x? ? 2,X?, X? ? 0.
- Q Let S be the part of the sphere x + y + z = 25 that lies above the plane z = 4. Let S have constant density k.(a) Find...
- Q In the figure a semi circumference is shown with diameter being the segment AB and center O, also, the ray AD is bisector of the angle (CAB). If AC=12 and...
- Q Simplify leaving your answer with positive exponents(5m//)?
- Q (1)Using the graph, determine any relative maxima or minima of the function and the intervals on which the function is increasing or decreasing. f(x) = -x +9x - 14(2)Using the...
- Q An investment is projected to generate a continuous revenue stream at the rate of R(t) = 40,000 e?.?? dollars/year for the next 3 years. If the income stream is invested...
- Q For f(x) = 7x, construct and simplify the difference quotient f(x+h)-f(x)/hf(x+h)-f(x)/h =
- Q Given the functions f (x) = x- 3x- 10 and g(x) = x-5, graph the function h (x) where, h(x) = f(x)g(x)
- Q In the diagram, ?ABC has a right angle at B and M is the midpoint of BC. A circle is drawn using BC as its diameter. P is the point...
- Q The functions q and r are defined as follows. Find the following. Simplify your answers. Do not use decimals.(1)q(x)=2x-2(2)r(x) = -2x-2(3)q (r (-5))=(4) r(r(3))
- Q In the diagram, two circles are tangent to each other at point B. A straight line is drawn through B cutting the two circles at A and C, as shown....
- Q Let f(x) = -x + 6x. Find the difference quotient for f(4+h) f(4)/h (Simplify your answer completely.)What steps or reasoning did you use? Your work counts towards your score You...
- Q Solve the equation for the interval [0, 2?).11) 2 sinx = sin xA) x = 0, ?, ?/6, 5?/6B) x = ?/3 , 2?/3C) x = ?/6 , 5?/6D) x...
- Q Find the equation with following roots:a) -2 5??7
- Q Rewrite ?(-20) in terms of the imaginary unit, i. Simplify your answer as much as possible.
- Q Identify the graph of the polar equation r = 3 - 2 sin ?a) Cardioid with holeb) Cardioid pointing upc) Strawberry pointing upd) Strawberry pointing down
- Q Perform the operation. Write your answer in terms of i.(3/8-i/3)-(1/2-1/2i)
- Q Simplify your answer as much as possible.i (1 + i)
- Q Use Euler's method with h = 0.2 to approximate y(0.6) of the IVP:1.1271:1711.0421.422
- Q Solve the system by elimination .y = -3x + x + 2y = x+4 (A) ( 5 , 3)(B) ( 2 , -9) (C) ( -4 , 29)(D) ( 1...
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