Verified Answer: Which equation is represented by the graph below? A. y = 1/8ex B. y = 1/2ex Solution: We know that equation of an exponential function is given by: y = aex ────── ① From the given graph, we can observe that x-intercept = 0 and y-intercept = 1/2 Substituting the value of x…
A yoga instructor wants to arrange a maximum possible number of 6000 students in a ground so that the number of rows is the same as the number of columns. How many rows will be there if 71 students are left out after the arrangement? Concept used: The square root of a number is a…
What is 3x times -5? aQuestion: What is 3x times –5? aSolution: First we will remove the parentheses, we get –3×x×-5 Now, we will multiply the above monomials, we get –15x Hence, 3x times –5=–15x
Verified Answer: Lily is buying theatre tickets. 4 adult tickets at £15 each 2 child tickets at £10 each A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Work out the total ticket price if Lily is paying by card. Concept Used: To solve this…
How to factor x^2−10x−24? aQuestion: How to factor x2−10x−24? aSolution: We have to find the factors of given quadratic equation Factoring out the expression by grouping. First, the expression needs to be rewritten as x2+ax+bx−24. To find a and b, we will set up a system to be solved. a+b=−10 ab=1(−24)=−24 Since ab is negative,…
According to this diagram, what is tan 74°? Solution: For angle 74°, the perpendicular is the opposite side, i.e. AB, and the base is BC. Tan 74° = 24/7 Hence the value of tan 74° according to the given diagram, is 24/7 Conclusion According to this diagram, the value of tan 74° is 24/7.
A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What average amount should the company budget for a gallon of fuel across its operations? Round your answer to the nearest cent. Probability and Fuel…
Classify the following triangle. Check all that apply A. Equilateral B. Acute C. Scalene D. Isosceles E. Obtuse F, Right aaQuestion:Classify the following triangle. Check all that apply A. Equilateral B. Acute C. Scalene D. Isosceles E. Obtuse F. Right 98o41o41oACB aAnswer The correct answer is OPTION D i.e Isosceles Explanation 98o41o41oACB aIn the given…
Mr Oliver orders his groceries online and has them delivered to his house. His bill is $175. He has a coupon for 10% off and plans to give the delivery driver a 20% tip. What is the total price, t, of Mr Oliver’s order, including the discount and the tip? t=$ Solution: According to the…
Verified Answer: Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45-degree angle to see a hot air balloon. Emily looks up at a 60-degree angle to see the same hot air balloon. Approximate how far is the hot air balloon off the ground. Solution: According to the question,…