MathMaster
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Gasoline fuel Mixed Performance: 4.2 liters per 100 km Note: "The mixed performance is calculated on a trip that considers part of the trip on the highway and another in the city." Indications: Enter decimal numbers by rounding to 2 decimal places, using a comma for the decimal. Example: 4.5657 --> 4.57 Enter numbers greater than one thousand without a thousand separator period. Example: 34600 a) How far does the vehicle travel with 1 liter of fuel? Score: 5 points Answer: The distance the vehicle travels with 1 liter of fuel is Answer km
Héctor decides to buy his first vehicle, after carrying out an analysis in the market he decides to buy the Great Wall M4 vehicle which has the following characteristics: Gasoline fuel Mixed Performance: 4.2 liters per 100 km Note: "The mixed performance is calculated on a trip that considers part of the trip on the highway and another in the city." Indications: Enter decimal numbers by rounding to 2 decimal places, using a comma for the decimal. Example: 4.5657 --> 4.57 Enter numbers greater than one thousand without a thousand separator period. Example: 34600 a) How far does the vehicle travel with 1 liter of fuel? Score: 5 points Answer: The distance the vehicle travels with 1 liter of fuel is Answer km
01. Let 𝑈 = {−2; 1; 0;1/2;3/4; 2;10/3; 4; −5}. Explain the elements of each of the following sets: a) {𝑥 ∈ 𝑈/𝑥 − 4 < 0} b) {𝑥 ∈ 𝑈/𝑥 2 − 6𝑥 + 8 < 0} c) {𝑥 ∈ 𝑈/4 − 𝑥 ≤ 0} d) {𝑥 ∈ 𝑈/𝑥 2 + 1 ≤ 0}
02. Let 𝑈 = {−1;1/2; two; 4;1/3; 5}. Check whether or not the following pairs A and B of sets are equal: a) 𝐴 = {𝑥 ∈ 𝑈/𝑥 + 1 = 3} and 𝐵 = {𝑥 ∈ 𝑈/2𝑥 − 3 = 1} b) 𝐴 = {𝑥 ∈ 𝑈/𝑥 < 0} and 𝐵 = {𝑥 ∈ 𝑈/𝑥 + 1 = 0} c) 𝐴 = {𝑥 ∈ 𝑈/0 < 𝑥 < 5} and 𝐵 = {𝑥 ∈ 𝑈/0 ≤ 𝑥 ≤ 5 } d) 𝐴 = {𝑥 ∈ 𝑈/𝑥 2 − 5𝑥 + 6 = 0} and 𝐵 = {𝑥 ∈ 𝑈/𝑥 < 5}
A store finances a vehicle in 48 monthly installments of $499.00 at a rate of 18% per year Calculate the initial value of the vehicle
For the polar functions r = 2Cos 20, and the radial lines, graph and calculate the area of the region R inside the curve of the function
Typically, one in six detergent packages is not properly packaged. In a sample, 10 pieces are randomly checked. How big is the Probability that (a) none, (b) more than 5 of the checked packages are not properly packaged?
Gemma Ltd. in thousands of dollars Income 346.5 Profit before interest and taxes 27.1 Interest 6.2 Taxes 8.4 Current assets 252.7 Long-term assets 217.4 Current liabilities 215.5 Long-term liabilities 77.5 Equity 177.1 What is the ROS of Gemma Company? a) 16.21% b) 6.03% c) 7.82% d) 4.68% e) none of the above What is the AT of Gemma Company? a) 4.73% b) 1.36 c) 0.73 d) 0.62 e) none of the above What is the ROA of Société Gemma? a) 10.05% b) 6.36% c) 5.71% d) 4.40% e) none of the above
The digits 1, 2, 3, 4, and 5 are randomly aranged to form 3-digit number. (Digits are not repeated). Find the probability that the number is even and greater than 500.
Develop the expression (x+2)(x+3) and simplify as far as possible
Obtain a Cartesian equation from the given parametric equation: x = 4 cos t y = 25 sin t
Multiply: 9(-8.8)
a store sells homemade forks and spoons. the store sells homemade forks for $5.50 each and the homemade spoons for $3.50 each. last month the store sold a total of 61 homemade spoons and forks for $289.50. How many were homemade forks and how many where homemade spoons?
There are 20 people in a room. Assume each person’s birthday is equally likely to be any of the 365 days of the year. (a) What is the probability that no one in the room share the same birthday? [5] (b) What is the probability that exactly two people have the same birthday? [5] (c) What is the probability that two or more people have the same birthday?
A cube has a mass of 500.01 g and a density of 5.739 g/cm3. What is the length of a side of this cube
A straight Line passes through the points (1,8) and (4,17) determine the equation of the Line in the form y=lx+m
2y-4x+10=0 Y=?
Mary have one third of her money to Nadeem and one fifth of her money to elwethu.Elwethu received R28 less than Nazeem .how much money did Mary have originally?
y”-9y’+14y=3x^2-5cos2x+7xe^6x
Given the set: W={(𝑥,𝑦,𝑧) ∈ 𝐼𝑅^3 / 2𝑥 − 𝑦 =0} a) Prove that the set is a vector subspace in IR3 b) Determine the generator<W>