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What is logs(4.7)+logs 2 written as a single log?HPO logg21o log5 26o logg30o log 56
General
4 months ago
A carnival game has the possibility of scoring 50 points, 75 points, or 150 points per turn. The probability of scoring 50 points is 60%, 75 points is 30%, and 150 points is 10%. The game operator designed a simulation using a random number generator to predict how many points would be earned for a turn.Integer Value Points Frequency0 - 5 50 556 - 8 75 329 150 1310. What is game’s expected value of points earned for a turn?(SHOW WORK)
General
4 months ago
An electrician charges a service call fee of $60 plus $55 per hour. Another electrician charges a service call fee of $20 plus $65 per hour. Set up and solve an equation to determine the number of hours, h, for which the cost would be the same for hiring both electricians.
General
4 months ago
Find the arc length intercepted by a central angle of radians in a circle whose radius is 18.4 inches. 13.8π 15.2π 24.5π
General
4 months ago
Crickets can jump with a vertical velocity of up to 14 ft/s. Which equation models the height of such a jump, in feet, after t seconds
General
4 months ago
The graph of f(t)=7•2^t shows the value of a rare coin in year t. What is the meaning of the y-intercept?A. Every year, the coin is worth 7 more dollarsB. When it was purchased (year 0), the coin was worth $7C. In year 1, the coin was worth 14$D. When it was purchased (year 0), the coin was worth $2
General
4 months ago
Which could be the function?The graph shows the axis of symmetry for a quadraticfunction f(x)Of(x) = (x + 4)O f(x) = x2 + 4O f(x) = (x -Of(x) = x2 +4
General
4 months ago
The function f(x)=603(1.3)^x represents the number of students enrolled at a university x years after it was founded. Each year, the number is students is______ the number the year before.
General
4 months ago
Emily went to a local shop to purchase some round rugs. Each rug has a radius of 3 feet. She istrying to cover as much of the floor of her 18 foot by 20 foot living room as possible withoutany overlap of the rugs. How much of the bare floor will be visible around the rugs?A. 20.76 square feetB. 254.47 square feetC. 9 square feetD. 105.5 square feet
General
4 months ago
A company uses two vans to transportworkers from a free parking lot to theworkplace between 7:00 and 9:00 a.m.One van has 14 more seats than theother. The smaller van makes two tripsevery morning while the larger onemakes only one trip. The two vans cantransport 65 people, maximum.How many seats does the larger van have
General
4 months ago
a. Every set has an element. b. The smallest perfect number is 28. c. Is 1.5 an irrational number? d. Please find the popular approximation of pi. e. Can you extract the root of -25?
General
4 months ago
Prove the following statement using a proof by contraposition. Yr EQ,s ER, if s is irrational, then r + 1 is irrational.
General
4 months ago
Dr. Who owns a phone booth worth $7,500, which, for tax purposes, is assumed to depreciate linearly to zero over a 15 year period. a. Express the value of the doctor's phone booth as a function of time. b. What is the value of the phone booth after 6 years?
General
4 months ago
Let a, b, c and x elements in the group G. In each of the following solve for x in terms of a, b, and c.Solve axb =c
General
4 months ago
Solve each of the following equations for x. (a) 5x-7=28 (b) 12-5x= x+30 (c) 5(x+2)= 1-3xЗx-y=-5 X+2y=3
General
4 months ago
Let a,b,,c and x elements in the group G. In each of the following solve for x in terms of a,b,c, and c.Solve simultaneously x^2 a=bxc^-1 and acx=xac.
General
4 months ago
Prove that for all n ≥ 4 the inequality 2n < n! holds.
General
4 months ago
Find the roots of the equation f(x) = x3 - 0.2589x2 + 0.02262x -0.001122 = 0
General
4 months ago
Determine,in each of the following cases, whether the described system is or not a group. Explain your answers. Determine what is an Abelian group.a) G = {set of integers , a ∗ b = a − b}b) G = {set of matrices of size 2 × 2, A ∗ B = A · B}c) G = {a0, a1, a2, a3, a4ai ∗aj = aIi+jI , if i+j < 5, ai ∗aj = aIi+j-5I , if i+j ≥ 5}
General
4 months ago
To get to school you can travel by car, bus or bicycle. If you travel by car, there is a 50% chance you will be late because the roads are very busy. If you travel by bus, which uses special reserved lanes and the busway, the probability of being late is only 20%. If you travel by bicycle you are only late 1% of the time.(a) Suppose that you are late one day to class. Since your teacher does not know which mode of transportation you usually use, he assumes each of the three possibilities are equally likely. If you are late, find the probability that you travelled to school that day by car?(b) Suppose that a friend tells your teacher that you almost always ride your bicycle to school, never take the bus, but 10% of the time travel by car. If you are late, what is the new probability that you travelled to school that day by car?
General
4 months ago
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