Algebra question and answers for December 15, 2023
- Q 2. With what tire pressure would his car start hydroplaning at 45 miles per hour?3. At 55 miles per hour?4. At 65 miles per hour?
- Q Let C be the function whose graph is given to the right. This graph represents the cost C of using m anytime cell phone minutes in a month for a...
- Q What is the annual growth rate of P(t) = 50(1.62) where t is given in years) as a percent? Be sure to show all your work
- Q Considering the inequality 5x - 4y < 12, the shaded area of its graph is described byshaded above a dashed lineshaded below a dashed lineshaded above a solid lineshaded below...
- Q Solve the following inequality for y:-9x - y < 10y<10-9xy> 10-9xy? 10+ 9xy<-10-9xy? -10 + 9xy>-10-9x
- Q Solve the systems of linear equations using a graphing method.4x + y = 29x + 4y = 26(6,5)(5,6)(5,5)no solution, parallel lines
- Q How many of the eleven integers greater than 10^7 and less than 10^7+12 are divisible by 11? (solve without calculator)
- Q Use Substitution to solve:2x-3y=-1911xy=-27
- Q Solve the systems of linear equations using the substitution method.y = 3x 85x + 5y = -36
- Q William has sold 89, 48, 76 and 63 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of...
- Q Given a line whose slope, m, is - 2 and passes through point (3, 0), the graph will go up to the left and cross the y-axis at (0,
- Q The fraction that is found halfway between 8/9 and 1/10is:89/180162/18071/180
- Q Given two circles whose radii are 9" and 3", the ratio of their areas is what? Mark all correct answers, more than one answer may be correct.9/13/19:13:13 to 19 to...
- Q Your boss asks you to package toy blocks into a box so he can deliver them to the toy store to sell. Each block is a cube with one inch...
- Q Use the addition property and/or the multiplication properties to find a and b.If -5<x<4 then a <2x+2<b.a=b = (Type an integer or a simplified fraction.)
- Q solve the following equation on the interval 0<theta<2pie. show work. should be four solutions 2 sin2? = sin ?
- Q The function A Age 23st models the amount an individual owes a credit company t years after some initial debt. If a person currently owes $1,900 and makes no payments,...
- Q Jan and Jim started hiking from the same location at the same time. Jan hiked at 5 mph with a bearing of N32 E, and Jim hiked at 3 mph...
- Q If f(x) = int(3x), find:(a) f(1.5) (b) f(3.9) (c) f(-2.4)(a) f(1.5)= (Simplify your answer.)
- Q You are the sales manager for your school's drama production. From what you've noticed in the past, you will likely sell 450 tickets at $11 each. You reason, however, that...
- Q The displacement d (in meters) of an object at time t (in seconds) is given by the equation: d = r sin(2 t). What is the time required for one...
- Q A man improvises a temporary shield from the sun using a rectangular piece of wood with dimensions of 1.4m, 1.5m, and 1.3m. With the longest side lying horizontally on the...
- Q A satellite is in an elliptical orbit around the earth with the center of the earth at one focus, as shown in the figure. The height of the satellite above...
- Q The annual revenue R (in millions of dollars) of OPet Foods since its inception can be modeled by R (t) = -0.0042 +4 +0.085 3-0.16 t2-0.65t+3.4 where t is the...
- Q Replace the? with the correct symbol, <, >, or =, which will make a true statement from the following expression:10/15 ? 6/10
- Q Using the Pythagorean Theorem, if in a right triangle leg b = 11 and the hypotenuse, c = 19, what does the other leg, a equal?a? 15.49a? 21.95a 16.31a? 12.8
- Q If triangle ABC is similar to triangle MNO and side AB = 21 when side MN = 12, what is the length of side BC when side NO 25? Round...
- Q If an 8-hour workday includes a total break time of 14%, how many hours are used for breaks? Round your answer to the nearest hundredth of an hour, or the...
- Q The half-life of Radium-226 is 1600 yr. The decay model A(t) 70e-0.000433t describes the amount of Radium-226 present after t years for a sample of 70 g. How many grams...
- Q Suppose $7000 is invested at an annual interest rate of 4% compounded daily for 3 yr. What is the accumulated amount in the account at the end of the 3...
- Q Compute the amount in an account after 4 years if $4550 is invested at an annual interest rate of 3.5% compounded semiannually. Round to two decimals.
- Q When we write 0.000 000 027 in scientific notation, it becomes 2.7 x 10" for what value of n?
- Q Use a calculator to approximate the value. Enter your answer rounded to three decimal places. 104.12
- Q Enter the value of each exponential expression. When needed, round answers to three decimal places.a. 10b. 10c. 10 d. 10/2e. 10?
- Q The number 1/100 is a power of 10 because it can be written as 10x for what value of X?
- Q When the number 32 is written as an exponential expression with a base of 1/2 what is the exponent?
- Q When the number 2 is written as an exponential expression with a base of 8, what is the exponent? (Use /to indicate a fraction; for example, 1/6.)
- Q When 0.00053 is written in scientific notation, it is equivalent to 5.3 x 10 for what value of n?
- Q A railroad track follows an inclination of 3.5. How far must the train travel along the track to gain 18 meters in altitude?
- Q Answer the following completely. Show your complete solutions.Number 1.) 2, 12, 40, 98, 198, ...General Rule = ?23rd term = ?32nd term = ?Number 2.) 8, 21, 46, 89, 156,...
- Q The moment magnitude scale, denoted Mw, is a scale that measures the energy released by an earthquake and is now preferred over the Richter scale for medium to large earthquakes....
- Q Complete and submit the assignment below, then you can proceed onto the next lesson. Can the Law of Sines be used to solve a right triangle? Write a short paragraph...
- Q Courtney has invested $3,500 into a savings account with a 4% APR compounding quarterly. How many years will it take for the investment to double? Round to two decimal places.
- Q Use a calculator to determine the value of each expression. Enter each value rounded to three decimal places.a. log 20b. log 0.05c. log 200d. log 75.000e. In 100f. In 0.004
- Q Fill in each blank with the appropriate value if it exists. To enter a fraction, use /as in 2/3. If the expression is undefined, enter undefined in the blank.a. In...
- Q What is the equation of the vertical asymptote of the function? (Write the answer in the form of an equation. Do not enter any spaces in your answer.) f(x) =...
- Q A normal conversation is about 10^7 times the of hearing. Compute the intensity level (in decibels) for a normal conversation.
- Q Let f(x) = - In(x). Fill in the blanks with the appropriate information.a.f(1/e)=b. f(1) =c. f(e) =d. f (e) =e. Domain of f:f. Range of f:g. Vertical asymptote of graph:
- Q Given that f(x)= 3x + 5x + 3 and g(x)=-2x-6,determine each of the following. Make sure to fully simplify your answer.
- Q Find functions f and g so that h(x) = (fog)(x).h(x)=1/(x^2-3)f(x) = 1/3, g(x) = x-3f(x) = 1/x, g(x) = - 1/3f(x) = 1/x, g(x)=x-3f(x) = 1/x, g(x) = x -...
- Q Let x, y > 0. Use the AM-GM inequality to find the minimum value of S =1/x^2+1/y+ 2xy and determine the values of x and y at which this minimum...
- Q 3, 20, 63, 144, 275, ...General Rule = ?23nd term = ?32nd term = ?
- Q An investment of $7000 is deposited into an account in which interest is compounded continuously. Complete the table by filling in the amounts to which the investment grows at the...
- Q When x + cx + d is divided by x + 1, the remainder is 3, and when it is divided by x - 2, the remainder is -3. Determine...
- Q Today you have exactly $4817.81 in your savings account earning exactly 0.5% interest,compounded monthly. How many years will it take before that account reaches $15211.93?Use trial and error to find...
- Q Let a, b, c, d be fixed numbers, and suppose that a?0 and a?1.Which of the following types of common functions are one-to-one for any chosen values of a, b,...
- Q Determine the distance between the left right lines d?: [x, y, z] [0, 2, 1] +t [3, 1,1] andd? : [ x, y, z] = [1, -3,0] +t [2,-1,1].
- Q A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 32". Mountain officials want to build a new ski lint from...
- Q Let f(x) = 36?. Find f(-1)Round your final answer to two decimal places.
- Q a. Determine the remainder when 17^341 is divided by 5.b. Use the Chinese Remainder Theorem to find an x such thatx ? 2 (mod 5x ? 3 (mod 7)x ?...
- Q Find functions f and g so that h(x) = (fog)(x).h(x) =3/x + 9f(x) = 1/x, g(x) = 3/x + 9f(x) = x + 9, g(x) = 3/xf(x) = x, g(x)...
- Q Given that p= the sun is shining and q- it is raining; write the statement below in English.q??p
- Q 4. Find the first six terms of the following sequences starting with n = 1 and state whetherthe sequence is explicitly defined or defined recursively.(a) {1+ (-1)^n}(b) a?=1 and an...
- Q Find the growth or decay rate in percent of the given exponential model.f(x) =49 (1.07)^x find the rate?7% growth7% decay0.07 growth
- Q Which is the most logical first step for solving for the variable in the inequality: 9z+8 < 11(17z+1) Reverse the inequality sign. Subtract 17z from both sides of the inequality....
- Q Write the following in interval notation: 7>x or 19 ? x
- Q Solve for x: -15?- 6x-11 ? - 11Write your answer in interval notation:
- Q Solve the inequality. Graph it, write it in interval notation, and then inequality notation.3x + 2 ?5 and 5x + 2? - 23
- Q For each of the following parts, state the quadrant (s), if any, for which the statements are true.1. cost sint > 02. tant sect> 03. csc sint <04. sect cost...
- Q A swimming pool is filled with water by using two taps A and B. Alone, it takes tap A three hours less than B to fill the same pool. Together,...
- Q The formula 1(x) =13.4 In x-11.6 gives the temperature increase in Fahrenheit in a vehicle when the outside air temperature is anywhere from 72F. to 96F., where "x" is the...
- Q If ? =13?/6, then find exact values for the following:sec(?) equalscsc(?) equalstan (?) equalscot (?) equals
- Q The congruence 5 x^17 + x + 9 = 0 (mod 85) has exactly one integer solution such that 0 ? x? < 85. Enter this solution in the input...
- Q ?ABC is right-angled at A and has AB < AC. Point D is on BC so that AB = BD. Point Lis the midpoint of AD. Let P be the...
- Q Let f be the triangle wave function defined by f(x): = ?-|x| for -? < x ? ?, and extended to be 2?-periodic on the real number line.Find the Fourier...
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