### Arithmetic problem

A Flagpole 15 feet high casts a shadow 5 feet long. A 6 foot man standing nearby would cast a shadow how long?

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A Flagpole 15 feet high casts a shadow 5 feet long. A 6 foot man standing nearby would cast a shadow how long?

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

The first row of an auditorium has 13 seats. Each subsequent row has 11 more seats than the previous row. If the total seats in the auditorium is 1183, how many rows are there in the auditorium?

1. In a circuit containing a resistor and a capacitor, the instantaneous voltage V volts across the capacitor is given by the formula Where R is the resistance in Ohms V is the initial voltage, C the capacitance in Farads and t is the time in seconds. Determine the time at which the instantaneous voltage is 35 volts given

Result should be two X values Problem is: 3x(squared) = 16x +12

For the equation x-the sq root of x=0, how do I solve for all values of x to satisfy the equation?

Can you show me how to solve the following equations? Square roots confuse me. Sq Root of X-1=3? Sq Root of X^3=8? and ^3sq root of x^2=4? Is the sq root of x^2=x an identity?

This is a question from a past exam paper for entrance onto a degree course. Whilst I am sure that the question is not that difficult, I do have real problems with this type of question. I am not sure how to get started with part (a) so could you please list every step as simply as possible when solving the problem. On part (

Please see the attached file for the fully formatted problems.

You have $380,000 in your bank account. The interest rate in your account is 5%. Solve for the following: a. How much interest will you accumulate if interest is compounded annually over the next five years? b. How much interest will you earn in your account over the next five years with continuous compounding?

1. x is less than 7 units from 9 3. y is within 5 units of -2 4. s is non-positive and not less than -19 5. Find the distance between the numbers -1.387 and 2/9

I would like help on the following problem: Suppose {a_n} is a sequence that satisfies the condition lim n-> oo (a_n+1 - a_n)=0. Prove that the sequence {a_n / n} converges to 0.

The problem is Take any of the generalizations about the Fibonacci Numbers that we have considered, and investigate what happens if the sequence is formed by two different starting numbers but continues in the same way by adding successive pairs of terms. For example, you might form a new pseudo-Fibonacci sequence in this w

Sam lives on a lot that he thought was a square, 157 feet by 157 feet. When he had it surveyed, he discovered that one side was actually 2 feet longer than he thought and the other was actually 2 feet shorter than he thought. How much less area does he have than he thought he had?

Solve the first order homogeneous equation : x^2+y^2-2xyy'=0

F(x) = x^2 e^(17x) 1. Find an equation for each horizontal asymptote to the graph of f. 2. Find an equation for each vertical asymptote to the graph of f. 3. Determine all critical numbers. 4. Determine the global maximum of the function. 5. Determine the global minimum of the function. 6. Find inflection points. 7. Fin

For the first 5 questions, consider the set of intersection points of two equations, and let a1 be the number of distinct affine real intersections with multiplicity one, let a2 be the number of distinct affine real intersections with multiplicity two, let b be the numberof distint complex non-real affine intersections and let

Joe has to take a test which consists of short-answer questions worth 9 points each and essay questions worth 25 points each. He must do at least 9 short-answer questions, but won't have time to do more than 10. He has to answer at least 3 essay questions, but can't spend time to do more than 10. If no more than 19 questions can

The absolute value of 1/2n +2 = the absolute value of 3/4n-2, how do I solve when it isn't equal to anything but themselves?

|b+7| +5=13 solve the equation. I am not sure how to do that some of the answers are {-1, 15} or I come up with {1}...I don't think I am doing this correctly.

Sally runs 2 mph faster than Paul throughout a 10 mile race. If Sally finishes 25 minutes ahead of Paul, what was Sally's time for the race?

Page 371 & 372 Solve each proportion # 28. 9 3 --- = --- X 2 # 31. 5 3 --- = ---- 9 x # 39. a a + 3 ------ = -------- A + 1 a # 41. m - 1 m - 3 ----------- = ---------

Completing the square problems: HYPERBOLAS- Find the center, vertices, foci, and asymptotes of the hyperbola. Please give the equation in standard form, i.e. (x-h)^2/a^2 - (y-k)^2/b^2=1 or other way around. 15) ? 9x^2-y^2-36x-6y+18=0 Answer: Center (2,-3) Vertices (3,-3), (1,-3) Foci: (2+ or √10, -3)

1st one: A family has a rectangular kitchen which measures 12 by 18 feet. They want to put diagonal heating coils in the floor of the room. How much will it cost them to put in the coils if they cost $25 foot? 12 x18 =216= Area 216x25= 5400 but since they want to put diagonals would I take half of this? 2nd one: A wi

1st one- One leg of an isosceles right triangle measures 12 meters long. Find the length of the hypotenuse of the triangle.? Would it be 12 over the sq rt of 2 2nd one A wire is needed to support a vertical pole 18ft tall. A cable will be anchored to a stake and it forms a 30 degree with the ground. nearest tenth... How fa

The 42 kilometer drive from Oakdale to Ridgemont usually takes 28 minutes. Because highway construction requires reduced speed limit, the trip now takes 14 minutes longer. Find the reduced speed limit in km/hr.

An explanation of the steps to use in a problem involving square roots in a system of equations using the sample problem given. Thank You. Please see attached.

I am having a problem trying to understand the given sample of a system of equations that has logarithms.

What are the inflection points? (a) f(x) = 12x^5 +15x^4 -240x^3+19 (One of the inflections is 0. Find the rest. Results cannot be -2.82 and 2.07) (b) f(x) = (x^2 - 8x + 32)(x-4)

Find the LCD for the given rational expression, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. Page 345 # 47. x y 1 ----, ------, ------ 9y^5 12x^3 6x^2y # 48 5 3b 1 -------, -------,