Given the explicit formula, find the term below.

Q: Sam bought a used car for 8000. He boasted that he got a great deal since the value of the car two…

A: Given data: The initial value of the car is I0=15000. The depreciation rate is r=25%=0.25. The given…

Q: Using the formula A = 1/2bh for the area of a triangle where b is the base and h is the height, find…

A: Given is :    base=14 units height=20 units

Q: Consider a rectangle with length x and width y.The area, A, of the rectangle is A =______ . The…

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Q: Use deductive reasoning to show that the following procedure produces a number that is three times…

A: Pick a number. Multiply the number by 6, add 10 to the product, divide the sum by 2, andsubtract 5…

Q: Use deductive reasoning to show that the following procedures produce a number that is one less than…

A: pick a number , let the number be n. multiply the number by 4 : therefore 4n add 8 to the product:…

Q: What is the formula of z?    a. (x-μ)/σ   b. (μ-σ)/x   c. xμ-σ

A: Given that.  Z-score is raw score minus mean and whole divided by standard deviation

Q: Write an algebraic formula that models the given quantity. The number N of cents in q quarters.

A: Write an algebraic formula that models the given quantity. The number N of cents in q quarters.

Q: Add and using Mayan notation. Write your answers as simply as possible Choose the correct sum below.

A: To Find the sum ..

Q: n! nP, = %3D (n-r)! to find the value for each expression. 1) Use the formula for Permutations,…

A: Pr=n!n-r!n

Q: Find the first 4 terms, a10, and a,5 of the sequeñce with the following nth term. a = |(Simplify…

A: The sequence                        an=nn-3, n≥4 then we have to find the first 4 terms and a10 and…

Q: Find the sum 7n, where n = 51 to 100. Show your formula and work. (You cannot just use a calculator…

A: we have to calculate the sum.

Q: Seven of the fifteen stars that Howard is watching through his telescope are dwarf stars.  Express…

A: Given:- Seven of the fifteen stars that = 7/15 Express as a decimal

Q: a. Write a formula that expresses the radius of a circle, r (in cm), in terms of the circumference…

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Q: he important formula in the attached contains the mathematical expression:  What does that specific…

A: The provided formula is the formula for the standard deviation of the population. Here, M = mean X =…

Q: Evaluate csc(π6).   Enter the exact answer.   csc(π/6)= __________

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Q: The population of a bacteria colony triples every 6 hours. a) If the population now is 100, what…

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Q: Consider a rectangle with length x and width y. The area, A, of the rectangle is A = perimeter of…

A: The area of a reactance is the product of length and width . The perimeter of the rectangle is equal…

Q: Use the formula for nCr to solve:A four-person committee is to be elected from an organization’s…

A: Combination: If r items are selected from the total n items then the different possible ways of…

Q: How the calculation below was done? Can you show step by step?  x / (0.001-x) = 0.5 x = 0.000333

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Q: The first five terms in a pattern are shown below.-0.5, -0.25, 0, 0.25, 0.5, . . .If the pattern…

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Q: (a) Find the base for which the following statement is true. 35 + 25 = 61

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Q: Calculate the length of the astroid x23 + y2/3 = 1 shown in the following figure. -1 -1 (Give an…

A: Given:Astroid   x23+y23To find:Length of astroid

Q: An expanding rectangle has a fixed width of 7 inches and an initial length of 0 inches. The length…

A: Given the data

Q: The nth term of an AP is given by (-4n+15). Find the sum of first 20 terms of this AP

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Q: Write the inverse,converse and contrapositive of the given statement. All recipes in this book can…

A: Solution

Q: Using the properties on your formula sheet, simplify the following Boolean expression. For EACH…

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Q: a. Write a formula that expresses the radius of a circle, r (in cm), in terms of the circumference…

A: As per our guidelines, I can answer maximum three subparts of a question. To know rest, please…

Q: Pation ET The following shows a pattern made with matchsticks. Based on the pattern, what would be…

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Q: Evaluate the sum. E Bi+5) 3+5)=] 口 (Bimplify your answer.)

A: Given problem:- Evaluate the sum  ∑i=133i+5

Q: Determine the nth-term (n is a positive integer) formula for the number of square tiles in the nth…

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Q: Simplify the followin

A: In this question, the concept of Boolean algebra is applied.Boolean algebra A boolean expression is…

Q: Q3 Re-arrange the following formula to make b the subject: x = ab

A: Consider the given function, x=abc multiply both side of the equation by c, c·x=c·abccx=ab

Q: DON'T SOLVE OR SIMPLIFY!!! IN **WORDS** DESCRIBE THE PROCESS USED TO SIMPLIFY THE FOLLOWING…

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Q: implify each expression below by distracting and/or combining like te

A: To simplify the below expression. 7x5−y−39x+2−4xy

Q: For what value of n is the nth term of the following two A.P the same? (i) 1,7,13,19,... (ii)…

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Q: Solve step by step in digital format XXXXXXXXXXXXXXXXXXXXX In the schoolyard there are 15 children…

A: Introduction: P(n, r) denotes the total number of all conceivable configurations or permutations of…

Q: a. Write a formula that expresses the radius of a circle, r (in cm), in terms of the circumference…

A: Since you have asked multiple question, we will solve the first 3 subparts of the question for you…

Q: Plsese all answer plsese

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Q: 4. 54 + 16 - 80 5. 5,32 +3,98 6. 6/5x + 7x 28x + 75x

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Q: 8. i) Consider the figure shown below (a) 30° C A Find the value of z. Answer: a = ii) InAPQR shown…

A: (a) Use the sine ratio in ∆ABC for the angle of 30°.

Q: Mitchell is doing a number trick, which involves a series of steps outlined below. Prove inductively…

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Q: In the diagram below, AABC ASTR. Complete the statement CA N A S

A: CA=

Q: Given x > 0, simplify completely

A: Given x > 0, simplify √(16x^14)completely

Q: 9. Find the term that is requested using the formula symbol shows up. a. Find a, when a= 13 and d=…

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Q: Write the explicit rule for the nth term provided the given information. r = - a1 = 9 and 3 %3D

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Q: Fill in the blank so that the resulting statement is true.

A: The expansion of x! can be done in two ways as follows: First method: x!=xx-1x-2.....3·2·1 Second…

Q: or each of the given items:          Perform the operation/s as indicated. Simplify and show a…

A: We have to Perform the operation/s as indicated. a) 22x104x11b) 1203x3c) 1+55d) 31-2

Q: Select all statements that are true when converting decimals to fractions. When converting a…

A: 1) when converting a terminal decimal to a fraction, the denominator is the power of ten that…