16 d2, where d is the displacement of the hull in The total recommended area A, in square feet, of a sailboat's sails is given by A = cubic feet. If a sailboat has 784 ft2 of sail, what is the displacement of the hull of the sailboat? ft3

Q: Write the rational expression in lowest terms. 4q(q+7) 24q2 (q-7) Select the correct choice below an...

A: Given: -

Q: Number 36 I'm not sure how to do the trial and error method

A: Factor out 3. 

Q: Practice question 7.3

A: a) The slope of AB is evaluated and the slope intercept form is obtained as follows.

Q: Find the solution set: 3n2(n2-3)=80-8n2

A: Given:

Q: Solve the following quadratic equations    a) 3x2 + 5x + 2 = 0        b) 6x2 – x – 15     = 0

A: Given:

Q: A car travels 392 mi. A second car, traveling 7 mph faster than the first car, makes the same trip i...

A: Given that a car travel 392 miles. The speed of second car is 7 mph faster than the first car. So,

Q: Given the function f(x)=3x-4, and h(x)=30(1.5)^x, evaluate the following and simplify:   f(h(x))

A: Given:

Q: It takes Henry 8 hours longer to paint one room than it does Sally. If they work together Sally and ...

A: Given:Sally and Henry together can paint one room in 3 hours. Then in 1 hour, they can paint 1/3 of ...

Q: 30) Translate the following phrase into mathematical expressions. Use x to represent "a number." a. ...

A: The phrases are “a) the product of a number and 12” and “b) ten times a number subtracted from 21”.

Q: Number 20 I'm not sure how far do I go to completely factor out

A: Given:

Q: The length of one leg of a right triangle is 1 m shorter than the other. If the hypotenuse is 5m lon...

A: Given, the length of one leg of a right triangle is 1 m shorter than the other and  the hypotenuse i...

Q: $20,000 is invested at 3.5% interest compounded monthly. How long will it take for the investment to...

A: Given:Principal amount (P) = $20,000Final amount (A) = double the principal amountInterest rate (r) ...

Q: solve the following equations by substitution method.  x2-8x+y2=-12 x-y=6 what is the solution set

A: Consider the given equations,

Q: express using a single log 2loga2 - logb - 2loga2b + 2logb

A: Using power rule and product rule for logarithmic expressions.

Q: Which logarithm is equal to xlog4?

A: To express the given expression into complete logarithmic form.Given that xLog4

Q: Give the domain of the following rational function using (a) set-builder notation and (b) interval n...

A: Given rational function

Q: Trying to understand how to solve.

A:

Q: Find the general solution of the system whose augmented matrix is ( 1   2  3   4  )   5   4   3   2 ...

A:

Q: I need to find the max and min for P and the coordinates.

A:

Q: How to solve?

A: We have to shade the Venn diagram to show the given set.

Q: Write the equation of the ellipse that has its center at the origin and A focus at (0, 4); vertex at...

A: Given:

Q: Algebra Question

A: Let the first number be x, second number be y and third number be z.

Q: solve the rational equation 5/a-2 = -9/7a+3

A: The given rational equation is

Q: Solve the equation 5v2-26v=24

A: Solve the equation

Q: (5y2+4y+2)(y2+3y+4) Multiply?

A: We have to multiply the given trinomials.

Q: A ship made a trip of 297 mi in 18 h. The ship traveled the first 126 mi at a constant rate before i...

A: Let v be its initial speed when the ship is traveled its first 126 mi then the velocity of the ship ...

Q: Use the discriminant to determine whether the quadratic equation has two equal real number solutions...

A: Use the discriminant to determine whether the quadratic equation has two equal real number solutions...

Q: A garden has an area of 315ft. It's length is 6ft more than its width. What are the dimensions of th...

A: Let length and width of garden are denoted by W and L respectively, Now, the area of garden is 315 s...

Q: Factor the polynomial  36a2-84at+49t2

A: Consider the given expression.

Q: Add or subtract the polynomials (7x3-x2y+4y3) + (2x3+5x2y+3xy2) - (5x2y+6xy2+y3) ?

A: Distribute the signs. 

Q: x/x+9 + 2/x-4 = -2x+99/x2 +5x-36

A: The given equation is

Q: Use the one-to-one property of logarithms to solve. ln(90 − 2x) = ln(−3x)

A: The given equation is

Q: Practice question 5.3

A: Graph the following functions based on f(x)=|x|G(x)=|x-1|+1H(x)=|x+3|-2

Q: given two vectors v m which are perpendicular. under which condition is V+W perpendicular to V-W?

A: Since vectors v and w are perpendicular so, their dot product is 0

Q: 29. Comparing Investments Russ, who is self-employed, wants to invest $60,000 in a pension plan. One...

A:  For investment offers 3% compounded quarterly, let A1 be the future value of investment including i...

Q: Solve the system analytically  3X -5Y plus 3Z equals negative 14  3X -2Y -5Z equals negative 17  X m...

A: Given: -

Q: I need help with this problem

A: To determine the number of students in the class.

Q: Composition of functions problem

A: Since the question contains multiple subparts and you have specifically asked for the solution for c...

Q: Practice Question 1.3

A: To sketch the graph of the function.

Q: Algebra Question

A: Part a) To show that the function is one to one function.Part b) To find the inverse of the function...

Q: Sketch a graph of the polar equation a) r= 3cos3Θ b) r=2 - 2sinΘ c) r = 3cosΘ

A: Given:

Q: Use the procedure for graphing a nonlinear inequality in two variables to graph the inequality. y&lt...

A: Given that

Q: How do I solve A=Pert, where P=$20, r=12%, t=3 years? $20 invested at 12% compounded continuously af...

A: $20 invested at 12% compounded continuously after a period of 3 years.Calculate the Amount

Q: what is the standard form of -4x=-3y+3

A: Given linear equation is  – 4x = –3y + 3

Q: Find |?|, |?|, |2?|, 1/2v, |u+v|, |?| − |?|. ? = 4i + j,    ? = 2i − 3j   |1/2v| =  |u+v|= |u-v|=...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Calculate the SA/V ratio for a sphere with a radius of 1.

A: Given:

Q: The current (I) in a wire varies directly as the voltage (v) and inversely as the resistance (r). If...

A: The current (I) in a wire varies directly as the voltage (v) and inversely as the resistance (r). If...

Q: The sum of two numbers is the same as their product, and the difference of their reciprocals is 3. F...

A: Given informationSum of two number = product of that numberReciprocal difference of the two number =...

Q: For the following variation: Suppose r varies directly as the square of​ m, and inversely as s. If r...

A: According to the given information:r varies directly as the square of m and inversely as s.So, this ...

Q: The period p of a pendulum, or the time it takes for the pendulum to make one complete swing, varies...

A: Given that the period p is directly proportional to the length L and the period of the pendulum is 1...