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study help
mathematics
basic technical mathematics

Questions and Answers of Basic Technical Mathematics

Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.for h (air temperature) T₂ = T₁ h 100
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.A1 = A(M + 1), for M (photography)
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.N = r(A − s), for s (engineering)
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.T = 3(T2 − T1), for T1 (oil drilling)
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.p2 = p1 + rp1 (1 − p1), for r (population growth)
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.for V2 (jet engine power) P = V₁ (V₂ - V₁) gJ
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.Q1 = P(Q2 − Q1), for Q2 (refrigeration)
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.for μ (electronics) I = VR₂ + VR₁ (1+μ) R₁ R₂
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.for e (electronics) C = 2eAk,k₂ d(k₁ + k₂)
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.p − pa = dg(y2 − y1), for y1 (fire science)
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.N = N1T − N2(1 − T), for N1 (machine design)
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.ta = tc + (1 − h)tm , for h (computer access time)
An earthquake emits primary waves moving at 8.0 km/s and secondary waves moving at 5.0 km/s. How far from the epicenter of the earthquake is the seismic station if the two waves arrive at the station
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.for B (atomic theory) ² = P ΑΙ B + AI
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.L = π(r1 + r2) + 2x1 + x2 , for r1 (pulleys)
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.for L (beam deflection) d = 3LPx2 Px3 6EI
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.for n (property deprecation) V = c(1-2), C n N
Each of the given formulas arises in the technical or scientific area of study shown. Solve for the indicated letter.W = T(S1 − S2) − Q, for S2 (refrigeration)
Find the indicated values.For a car’s cooling system, the equation p(C − n) + n = A is used. If p = 0.25, C = 15.0L, and A = 13.0L, solve for n (in L).
Find the indicated values.A formula used in determining the total transmitted power Pt in an AM radio signal is Pt = Pc (1 + 0.500m2). Find Pc if Pt = 680W and m = 0.925
Find the indicated values.A formula relating the Fahrenheit temperature F and the Celsius temperature C is F = 9/5C + 32. Find the Celsius temperature that corresponds to 90.2°F.
Find the indicated values.The voltage V1 across resistance R1 is where V is the voltage across resistances R1 and R2. See Fig. 1.18. Find R2 (in Ω) if R 3.56 Ω, V1 = 6.30V, and V =
Find the indicated values.The efficiency E of a computer multiprocessor compilation is given bywhere p is the number of processors and q is the fraction of the compilation that can be performed by
Find the indicated values.In forestry, a formula used to determine the volume V of a log is V = 1/2 L(B + b), where L is the length of the log and B and b are the areas of the ends. Find b (in ft2)
Set up the required formula and solve for the indicated letter.One missile travels at a speed of v2 mi/h for 4h, and another missile travels at a speed of v1 for t + 2 hours. If they travel a total
Set up the required formula and solve for the indicated letter.A microwave transmitter can handle x telephone communications, and 15 separate cables can handle y connections each. If the combined
Perform the indicated multiplications.Simplify the expression (T 2 − 100)(T − 10)(T + 10), which arises when analyzing the energy radiation from an object.
Solve the given equations, all numbers are approximate.27.5(5.17 − 1.44x) = 73.4
Simplify the given algebraic expressions.√A + (h − 2√A) − 3√A
Perform the indicated divisions. 9(aB)4 - 6aB4 -3aB3
Perform the indicated multiplications.−2(−3st3)(3s − 4t)
Simplify the given algebraic expressions.2 − 3 − (4 − 5a)
Solve the given equations. −5t + 8 = 18
Perform the indicated divisions. a²x₁x² + ax ax₁ ax1
Simplify the given algebraic expressions.v − (7 − 9x + 2v)
Solve the equation of Example 6 by using the Equation Solver of a graphing calculator.Data from Example 6When finding the current i (in A) in a certain radio circuit, the following equation and
Solve the given problems.By division show thatis not equal to x2 + y2. 3 3 x² + y² x + y
Perform the indicated divisions. 2m²n - 6mn -2m
Solve the equation of Example 5 by using the Equation Solver of a graphing calculator.Data from Example 5Solve the equation x − 7 = 3x − (6x − 8).Checking in the original equation, we
Solve the given problems.By division show thatis not equal to x3. x4 + 1 x+1
Perform the indicated multiplications.3(3R − 4)2
Simplify the given algebraic expressions. −4[4R − 2.5(Z − 2R) − 1.5(2R − Z)]
Perform the indicated multiplications.2(x + 8)2
Simplify the given algebraic expressions. a2 − 2(x − 5 − (7 − 2(a2 − 2x) − 3x))
Are there any values of a for which the equation 2x + a = 2x results in a conditional equation? Explain why or why not.
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.Data from Example 5Perform the divisionBecause there is no x-term in the dividend, we should leave space for
Perform the indicated multiplications.(−6x2 + b)2
Solve the given equations, all numbers are approximate. 276x 1360 17.0 46.4
Solve the given problems.When 6x2 − x + k is divided by 3x + 4, the remainder is zero. Find k.
Simplify the given algebraic expressions.−(3t − (7 + 2t − (5t − 6)))
Identify each of the following equations as a conditional equation, an identity, or a contradiction.(a) 2x + 3 = 3 + 2x (b) 2x − 3 = 3 − 2x
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.Data from Example 5Perform the divisionBecause there is no x-term in the dividend, we should leave space for
Perform the indicated multiplications.(xyz − 2)2
Solve the given equations, all numbers are approximate. 165 223 13V 15
Solve the given problems.When 2x2 − 9x − 5 is divided by x + c, the quotient is 2x + 1. Find c.
Simplify the given algebraic expressions. −2F + 2((2F − 1) − 5)
Perform the indicated multiplications.(−7m − 1)2
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.Data from Example 5Perform the divisionBecause there is no x-term in the dividend, we should leave space for
Solve the given equations, all numbers are approximate. 3.0 7.0 R 42
Simplify the given algebraic expressions.5V2 − (6 − (2V2 + 3))
Perform the indicated multiplications.( x1 + 3x2)2
Simplify the given algebraic expressions.−{−[−(x − 2a) − b] − (a − x)}
Solve the given equations, all numbers are approximate. X 2.0 17 6.0
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.Data from Example 5Perform the divisionBecause there is no x-term in the dividend, we should leave space for
Perform the indicated multiplications.(x − 3y)2
Simplify the given algebraic expressions.−2{−(4 − x2) − [3 + (4 − x2)]}
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.Data from Example 5Perform the divisionBecause there is no x-term in the dividend, we should leave space for
Perform the indicated multiplications.(3x − 7)2
Simplify the given algebraic expressions.−(4 − √LC) − [(5√LC − 7) − (6√LC + 2)]
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.Data from Example 5Perform the divisionBecause there is no x-term in the dividend, we should leave space for
Perform the indicated multiplications.ax(x + 4)(7 − x2)
Simplify the given algebraic expressions.5p − (q − 2p) − [3q − (p − q)]
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.Data from Example 5Perform the divisionBecause there is no x-term in the dividend, we should leave space for
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.Data from Example 5Perform the divisionBecause there is no x-term in the dividend, we should leave space for
Solve the given equations, all numbers are approximate.−0.24(C − 0.50) = 0.63
Perform the indicated multiplications.2L(L + 1)(4 − L)
Simplify the given algebraic expressions.7y − {y − [2y − (x − y)]}
Solve the given equations, all numbers are approximate.1.9t = 0.5(4.0 − t) − 0.8
Perform the indicated multiplications.2n(−n + 5)(6n + 5)
Simplify the given algebraic expressions.5z − {8 − [4 − (2z + 1)]}
Solve the given equations, all numbers are approximate.5.8 − 0.3(x − 6.0) = 0.5x
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.Data from Example 5Perform the divisionBecause there is no x-term in the dividend, we should leave space for
Perform the indicated multiplications.−3(3 − 2T)(3T + 2)
Simplify the given algebraic expressions.9v − [6 − (−v − 4) + 4v]
Solve the given equations.|7 − x| = 1
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.Data from Example 5Perform the divisionBecause there is no x-term in the dividend, we should leave space for
Perform the indicated multiplications.−5(y − 3)(y + 6)
Simplify the given algebraic expressions.aZ − [3 − (aZ + 4)]
Solve the given equations.|2x − 3| = 5
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.(6x2 − 5x − 9) ÷ (−4 + 3x)Data from Example 5Perform the divisionBecause there is no x-term in the
Perform the indicated multiplications.2(a + 1)(a − 9)
Simplify the given algebraic expressions. −3[−3 – ² (–a – 4)] -3- 3
Simplify the given algebraic expressions.−2[−3(x − 2y) + 4y]
Solve the given equations. 2x = -5(7 - 3x) + 2 4
Solve the given equations.2 − |x| = 4
Perform the indicated multiplications.(2a + 3b + 1)(2a + 3b − 1)
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.(4Z2 − 5Z − 7) ÷ (4Z + 3)Data from Example 5Perform the divisionBecause there is no x-term in the
Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.(6 + 7y + 6y2) ÷ (2y + 1)Data from Example 5Perform the divisionBecause there is no x-term in the dividend,
Simplify the given algebraic expressions.−2[−x − 2a − (a − x)]
Solve the given equations.|x| − 9 = 2

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