You are told that h(T) = HekT where H and k are constants. Solve for H and k if h(15) = 1 and h(16) = 2

Q: ㅠ ㅠ Solve the problem. Usesin = = landsin = 4 ㅠ Use the formula sin(2x) = 2 sin x cos x, with x = 4…

A: We can find the answer as below.

Q: Find X₁ and X₂. -5 5 -5 -5 -3 X1 x₁ = x2 = ICH 40 24

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Q: Rewrite the statement 113-41=72 as a statement in terms of addition

A: Rewrite the statement 113-41=72 as a statement in terms of addition.

Q: Write the equation of a sine or cosine function to describe the graph. 0 15 AT W HA 2 3-4 + I wt…

A: Graph of the function is given, we have to find its equation

Q: Consider a triangle ABC like the one below. Suppose that a=30, b=38, and c=17. (The figure is not…

A: To find the angle.

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Q: Write an equation of the form y=a sin bx or y=a cosbx to describe the graph below. NTET 112 +3 IN…

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

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Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

A: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars NZD per kg. The current…

Q: If two variables are negatively associated, then above-average values of one tend to accompany A.…

A: Some relationships are such that the points of a scatterplot tend to fall along a more-or-less…

Q: If the slope of the line (k+1)x + ky - 3 = 0 is -2, find k.

A: Given Line (k+1)x+ky-3=0& slope of line (m)=-2To find value of k.

Q: 2. The net price of a dining table is P6,187.50, representing 75% of the list price. Find: a. List…

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Q: Find sec8, cos8, and cot8, where 0 is the angle shown in the figure. Give exact values, not decimal…

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Q: 2. (a) How many lines of symmetry does a regular octagon have?

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Q: W Airport E -0° X = X

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Q: Consider the function g(x) = 3 2, X + 1 a. Determine the vertical and horizontal asymptotes of g(x).…

A: Given function   g(x)=3x+1-2

Q: Use a graphing utility to approximate (to two decimal places) any relative minima or maxima of the…

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Q: Temperature readings T (in°C) were recorded every three hours from midnight until 6 pm. The time t…

A: Concept: Plotting of the graph requires two coordinates x and y  in the form (x,y)  Here X-axis…

Q: Project 3 can be selected only if both Projects 1 and 2 are selected, but if both Projects 1 and 2…

A: Given that,                Project 3 can be selected only if both Projects 1 and 2 are selected, but…

Q: A sample space contains three outcomes, A, B, and C. Which of the following could be a legitimate…

A: We know that probability of any event lies in between 0 to 1, Therefore option A is wrong .

Q: sample the class you split the class into guys and girls. You then select at random 3 guys and 3…

A: Stratified sampling is a method of sampling that involves dividing the population into smaller…

Q: Given the sets A = {1,2,3} and B = {-1, -2, -3}.

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Q: a) determine (fog)(x) c) evaluate (gof)(-1) b) state the domain of (fog)(x)

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Q: log3 [X² 4²³) 7 A) 9 log3 (x) + 8 log3 (y) - log3 (7) C) (9 log3 (x))(8 log3 (y)) - log3 (7) O B) 9…

A: Using Log(xy)=log(x)+log(y) And log(x^a)= a log(x)

Q: Find the mean of a student test scores if he earned 5, 93, 85, 90 and 91 points on five tests

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Q: + y >_ (greater than it equal to) 10. Graph

A: Given that 5x+y>_10

Q: 12. Find the area of the triangle bounded by the lines y=x+3, y=2x-1 and y=-3x+4 12

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Q: e cost of hiring a car is summarized in the table alongside. Let $C be the total cost of hiring a…

A: according to question  hire per day cost 1-2 $ 40 per day 3-6 $ 33 per day 7+ $ 29 per day

Q: Convert 100 dollars to "widgets" (1 dollar = 3.94 widgets) 39.4 O 3940 O 394

A: The amount is Amount = $100 To evaluate: The amount in widgets

Q: 4. These are the steps to solve the angle using the Law of Cosines: a²=b²+ c²-2bc cos A 2bc cos A =…

A:

Q: Suppose for children under 5, the world mortality rate M per 1000 live births can be modeled by the…

A: The mortality rate is given as , M=-1.64n+74.42 where n is the number of years since 2000.

Q: Use these tables. What is the value of f(g(2))? X f(x) g (x) -3 16 -3 2 -2 9 -2 1 -1 4 −1 0 0 1 0 -1…

A: Let's find the value of f(g(2)) from given table.

Q: 7. Simplify this expression. Write answers with positive exponents. -6.3 18x-6y³√√z 48x4y52-3

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Q: QUESTION 20 Two coins are flipped at the same time and heads or tails is recorded. The sample space…

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Q: If the slope of the line determined by the points (x,5) and (1,8) is -3, find x.

A: Slope of a line joining the points (x,5) and (1,8) = (5–8)/(x-1) = -3.   or,   -3/(x-1)= -3   or,…

Q: What is the value of x? X 45° 45% 5

A: As it is a right angle triangle,  sin (45°) = opposite side ÷ hypotenuse  This can be used.

Q: Please

A: We will solve the problem.

Q: Let X= (6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 z e N, x+z=y}, where N is…

A: In this question, we want to check the reflexivity, symmetry and transitivity of the given relation…

Q: In measuring economic growth, economists often use: nominal GDP. real GDP. the unemployment rate.…

A: The GDP can be defined the market value of all goods and services which are produced in the domestic…

Q: Verify that fand g are inverse functions algebraically. f(x) = *-* g(x) = 3x + 4 f(g(x)) = f =…

A: Function f and g are inverse of each other if f(g(x))=x and…

Q: Solve the following equation. Check the solution. 1 1 22 + = x-11 x+11 x². - 121 ... Select the…

A: Given, 1x-11+1x+11=22x2-121                                                          (1)

Q: Question 1 of 9, Step 1 of 1 0/9 Correct If the value of your house is $169,000 today and inflation…

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Q: How many quarts of pure antifreeze must be added to 3 quarts of a 40% antifreeze solution to obtain…

A: ⁸

Q: Find the value of each variable. X= and y= 30° 26 y

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Q: Compute the sums below. (Assume that the terms in the first sum are consecutive terms of an…

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Q: 2. The shadow of a building is cast by the sun at an angle of 60° above the horizon. Later, the…

A: Lets say initial length of the shadow was 'x' meter and height of the building is 'h' meter.

Q: A hot air balloon is fixed to the ground at point F and G by two ropes. If FBG is 86°, how far apart…

A: Cosine law of triangle

Q: You invested $16,000 in two accounts paying 6% and 9% annual interest, respectively. If the total…

A: The interest earned in first year with an investment of P,  I = PR R is rate of interest