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mathematics
college algebra

Questions and Answers of College Algebra

Fill in the blank(s) to correctly complete each sentence.The solution set of the following system is {( _____, 0)}.6x + y = -1813x + y = -39
Fill in the blank(s) to correctly complete each sentence.The solution set of the following system is {(1, ______)}.-2x + 5y = 18x + y = 5
The amount of a certain radioactive material, in grams, present after t days is modeled by A(t) = 600e-0.05t.(a) Find the amount present after 12 days, to the nearest tenth of a gram.(b) Find the
For any amount of money invested at 2.8% annual interest compounded continuously, how long, to the nearest tenth of a year, will it take to triple?
How many years, to the nearest tenth, will be needed for $5000 to increase to $18,000 at 3.0% annual interest compounded (a) monthly (b) continuously?
Solve the problem.A skydiver in free fall travels at a speed modeled by v(t) = 176(1 - e-0.18t) feet per second after t seconds. How long, to the nearest second, will it take for the skydiver to
A friend is taking another mathematics course and says, “I have no idea what an expression like log5 27 really means.” Write an explanation of what it means, and tell how we can find an
Solve the equation. Give solutions in exact form.log3 (x + 1) - log3 (x - 3) = 2
If the radius of a circle is doubled, by what factor will the area change? 2r
If the lengths of the sides of a cube are tripled, by what factor will the volume change? Зх х х х Зx Зх
Simplify the rational expression. Assume all variable expressions represent positive real numbers.7(3t + 1)1/4 - (t - 1)(3t + 1)-3/4/(3t + 1)3/4
Simplify the rational expression. Assume all variable expressions represent positive real numbers.2(2x - 3)1/3 - (x - 1)(2x - 3)-2/3/(2x - 3)2/3
Simplify the rational expression. Assume all variable expressions represent positive real numbers.4(x2 - 1)3 + 8x(x2 - 1)4/16(x2 - 1)3
Simplify the rational expression. Assume all variable expressions represent positive real numbers.10(4x2 - 9)2 - 25x(4x2 - 9)3/15(4x2 - 9)6
Simplify the rational expression. Assume all variable expressions represent positive real numbers.(y2 + 2)5(3y) - y3(6)(y2 + 2)4(3y)/(y2 + 2)7
Simplify the rational expression. Assume all variable expressions represent positive real numbers.(x2 + 1)4(2x2 - x2(4)(x2 + 1)3(2x)/(x2 + 1)8
Perform all indicated operations, and write each answer with positive integer exponents.x - 9y-1/(x - 3y-1)(x + 3y-1)
Perform all indicated operations, and write each answer with positive integer exponents.a - 16b-1/(a + 4b-1)(a - 4b-1)
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.2(3x + 1)-3/2 + 4(3x + 1)-1/2 + 6(3x + 1)1/2
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.6r-2/3 - 5r-5/3
Perform all indicated operations, and write each answer with positive integer exponents.x-2 + y-2/x-2 - y-2 • x + y/x - y
Perform all indicated operations, and write each answer with positive integer exponents.r -1 + q-1/r -1 - q-1 • r - q/r + q
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.6y3(4y - 1)-3/7 - 8y2(4y - 1)4/7 + 16y(4y - 1)11/7
Perform all indicated operations, and write each answer with positive integer exponents.a-1 + b-1/(ab)-1
Perform all indicated operations, and write each answer with positive integer exponents.p-1 - q-1/)pq)-1
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.4x(2x + 3)-5/9 + 6x2(2x + 3)4/9 - 8x3(2x + 3)13/9
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.-4a-2/5 + 16a-7/5
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.7(5t + 3)-5/3 + 14(5t + 3)-2/3 - 21(5t + 3)1/3
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.(p + 4)-3/2 + (p + 4)-1/2 + (p + 4)1/2
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.(3r + 1)-2/3 + (3r + 1)1/3 + (3r + 1)4/3
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.-3p-3/4 - 30p-7/4
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.p-3/4 - 2p-7/4
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.y-5 - 3y-3
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.4k-1 + k-2
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.3m2/3 - 4m-1/3
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.9z-1/2 + 2z1/2
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.5r -6 - 10r -8
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers.4t-2 + 8t-4
Find the product. Assume all variables represent positive real numbers. See Example 6(e). (p2 – p-12)(p2 + p2) 1/2 -1/2 1/2
Find the product. Assume all variables represent positive real numbers. See Example 6(e). (r12 – r-12)²| 1/2 -1/2
Find the product. Assume all variables represent positive real numbers. See Example 6(e). (x + x2)(x – x1/2)
Find the product. Assume all variables represent positive real numbers. See Example 6(e). -5y(3y%10 + 4y3/10) ,9/10
Find the product. Assume all variables represent positive real numbers. See Example 6(e). (x + x2)(x – x1/2)
Find the product. Assume all variables represent positive real numbers. See Example 6(e). -4k(k/3 – 6k1/3) 713
Find the product. Assume all variables represent positive real numbers. See Example 6(e). p1/5(3p45 + 9p19/5)
Find each product. Assume all variables represent positive real numbers. See Example 6(e). у5(узв — 10у18) y518 (y3/8 11/8'
Duration of a Storm Suppose that meteorologists approximate the duration of a particular storm by using the formulaT = 0.07D3/2,where T is the time (in hours) that a storm of diameter D (in miles)
Holding Time of Athletes A group of ten athletes were tested for isometric endurance by measuring the length of time they could resist a load pulling on their legs while seated. The approximate
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers. 1/3,-2/3,1/6 z -1/6 (z-16)3
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers. 25ªa³ \ 1/8 (42b-5\1/4 b2 a?
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers. 3\ 1/4 1/4 16т3 9n 1/2 m2 п
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (p³)! 1/4 5/4 (p34)2
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (х)? (x?)73 2/3 7/3
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (r1$g23) 15 1/5 r2
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers. .1/4 ,2/5)20 x?
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers. 3/4 „5/4 -2
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers. k -1/3 2/3 -1
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.r -8/9 · r17/9
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.y7/3 · y-4/3
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.1257/3/1255/3
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.64/3 · 62/3
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.31/2 · 33/2
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.645/3/644/3
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.(121/100)-3/2
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.(27/64)-4/3
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.(-32)-4/5
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.-813/4
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.643/2
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.1003/2
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.274/3
Simplify the expression. Write answers without negative exponents. Assume all variables represent positive real numbers.82/3
Evaluate the expression.(-64)1/4
Evaluate the expression.(-4)1/2
Evaluate the expression.(-8/27)1/3
Evaluate the expression.(-64/27)1/3
Evaluate the expression.6251/4
Evaluate the expression.161/4
Evaluate the expression.1211/2
Evaluate the expression.1691/2
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (8y²)-^(8y³)-2 (8-3y 4)2
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (5x)-²(5x³)-3 (5-2x-³)3
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 12k -2(k-3)4 6k5
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 4a°(a¯')³ (a-2)-2
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (-8xy)y³ .3 4x*y4
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (Зрq)q бр'q
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (m*)° 9т-3
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (p-²)° 5p p4
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers.(3p-4)2(p3)-1
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers.(5a-1)4(a2)-3
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers.-2m-1(m3)2
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers.-4r -2(r4)2
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 15a-b-1 25а ?Ь4
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 16m Sn 12m?n-3
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 15s4 5s-8
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 4r-3 бr-6
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers.75/7-3
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers.64/6-2
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers.y8/y12
Simplify the expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers.r7/r10

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