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# The area of Desert A is nine times the area of Desert B. If the sum of their areas is 1,000,000 square miles, find the area of each desert. (answer)

This is a system of equations; two equations, two unknows. Translate the words into expressions and, ultimately, to equations. The area of Desert A is nine times the area of Desert B. A = 9B (eqn 1) the sum of their areas is 1,000,000 square miles A + B = 1,000,000 (eqn 2) Now,...

# how do you graph y=lnx+3 (answer)

To graph, simply create a table of values for x and y (when x is __,  y is __ ). Although if you know the basic parent function of ln(x), then this one is simply shifted to the left by three units. For the domain, that means all values of x that satisfy the equation. Therefore, we have...

# how to solve a problem in algerbra (answer)

Is the value of x = 4/3? If so, then substitute the (4/3) into the expression and evaluate. 18(4/3) - 3 18 times (4/3) minus 3 Order of operations: parentheses, exponents, multiplication/division, addition/subtraction Multiplication/division before addition/subtraction. So...

# how do I expand this expression log to base 2 x^4 sqrt y/z^3 (answer)

I assume the problem is stated as: log2(x4 sqrt(y/x3)) Learn the 4 basic properties of logs: (1) logb(xy) = logbx + logby. (2) logb(x/y) = logbx - logby. (3) logb(xn) = n logbx. (4) logbx = logax / logab. (to simplify typing, I'll temporarily omit the base on...

# I have 2 problems i can not figure out how to set up. (answer)

A(t) = Aoe(kt) We first need to solve for the rate constant. When t = 1 min (i.e., A(1) ), we are told that 45% dies leaving 55% to remain (0.55 * 5x10^6 = 2.75x10^6 = A(1)) 2.75x10^6 = 5x10^6 e^(1k) 2.75x10^6 / 5x10^6 = e^k Take the natural log of each side: ln(2.75x10^6/5x10^6)...

# Suppose you deposit \$3,000 for 6 years at a rate of 7%. I don't understand this question. (answer)

This is a compound interest formula, where P = principal, r = rate, n = # compoundings per yr, t = time (in years). P = 3000 r = 7% = 0.07 t = 6 n = 2 (semi-annually) a) A = 3000(1 + 0.07/2)^(2*6) = \$4,533.21 b) A = 3000(1 + 0.07/12)^(12*6) = \$4,560.32  Continuous compounding:...

# When the cost of a car is multiplied by 0.08 the result is \$1740. (answer)

C*(0.08) = 1740 Divide each side by 0.08 C = 1740/0.08 = 21750

# what is the range if the domain is (-5,2,7) in the equation y=-2/3x+4 (answer)

The domain are values of x that satisfy the equation, then the range would be the corresponding values of y at the x-values of -5, -2, 7. Therefore plug each value of x in the equation and evaluate to find the corresponding y-values. Those will be your range. e.g., y = -2/3(-5) + 4 =...

# A 6.1kg bowling ball and a 7.2kg bowling ball rest on a rack 0.75 m apart. What is the force of gravity exerted on each of the balls by the other ball? G= Univ (answer)

This is a "plug and chug" problem. The only snag would be to always make sure the units are S.I. The force of gravity between two objects is jointly proportional to the object's masses and inversely proportional to the square of the distance: F = G(M1*M2) / r2 F = 6.67E-11...

# 3(x-2)Grater that or equal to 22 (answer)

2(3x - 2) ≥ 22 Solve like a typical eqn Distribute. 6x - 4 ≥ 22 Add 4 to each side. 3x ≥ 26 Divide by 3 on each side x ≥ 26/3 or 8 2/3 A value of x that makes the inequality statement true is therefore any that is ≥ 9 1/3. (Just remember that...

(1) y = -3x + 5 (2) 5x - 4y = -3 Substitute eqn 1 into eqn 2 for y. (It doesn't matter which eqn or which variable, but eqn 1 was already solved for y.) 5x - 4(-3x + 5) = -3 Simplify, and solve for x. 5x +12x -20 = -3 17x - 20 = -3 17x = 17 x = 1 Now...

5 + 2(4x) - 2(4) = 3(2x) - 3(1) 5 + 8x - 8 = 6x - 3 8x - 3 = 6x - 3     +3         +3 8x = 6x - 0 -6x   -6x 2x = 0 x = 0

# Use the method of substitution to solve the system of linear equations. (answer)

Solve for any variable from either equation: (1) 4x - y = 3  ==> y = 4x - 3 Substitute into other equation: (2) 9x - 2y = 8 9x - 2(4x - 3) = 8 Solve: 9x - 8x + 6 = 8 x + 6 = 8 x = 2 Substitute to find y: y = 4x - 3 = 4(2) - 3 y = 8 - 3...

# The perimeter of a rectangle is 38 ft. The length is 5 ft. longer than the width. (answer)

P = 38 L = W + 5 P = 2L + 2W P = 2(W + 5) + 2W = 2W + 10 + 2W  38 = 4W + 10 28 = 4W W = 7 ft L = W + 5 = 7 + 5 = 12 ft

# solve for d -2(d-3)+5d greater then equal to 36 (answer)

d - 2(d - 3) + 5d ≥ 36 Solve using steps similar to ordinary equations: d - 2d + 6 + 5d ≥ 36 4d + 6 ≥ 36 4d ≥ 30 d ≥ 30/4 d ≥ 15/2 So d must be a value that is greater than or equal to 15/2.       ...

# how do you solve r^2-4r-3=6? (answer)

r2 - 4r - 3 = 6 Normally, we can solve by factoring the equation (if factorable) and setting each factor equal to zero. First we need to get the equation in standard form (Ax2 + Bx + C = 0) by subtracting 6 from each side: r2 - 4r - 9 = 0 Now, we factor the trinomial into the...

Watts are a unit of power (unit energy per second in this case).  The utility company charges \$0.10 per kilowatt-hour, or 0.10/kW*hr. To do the conversion correctly, we need to convert watts to kilowatts. So 350 W = 0.350 kW. Over the course of one yr: \$0.10  x 24 hr x 365...