Mārrièd Couplèś with Childrén The percentage of families that were married couples with children between 1970 and 2000 is approximately 47.8 P(t) (1 < ts 4) t0.27 where t is measured in decades, with t = 1 corresponding to 1970. (a) What percentage of families were married couples with children in 1970? In 1990? In 2000? (Round your answers to one decimal place.) in 1970 % in 1990 % in 2000 % (b) How fast was the percentage of families that were married couples with children decreasing in 1980? In 1990? (Round your answers to one decimal place.) in 1980 % per decade in 1990 % per decade

Q: On G= (0,∞) - {1} is defined the following binary operation; x ♦ y = x1ny Show that (G, ♦) is an abe...

A: For the given binary operation, x * y= xln y CHECK CLOSURE As the given operation is a binary relati...

Q: There are two lines passing through the point (3,2) that are tangent to the parabola y=x^2. How do I...

A:

Q: use the mathematical expression ‘3’ in three sentences; one that is true, one that is false, and one...

A: Mathematical expression 3 in three sentences. 1. A sentence that is true always. 1+1+1=3 2. A senten...

Q: "A possible recall of chart-topping car in the world is now a major concern of its manufacturer. The...

A:   Let B=defect in brakes⇒PB=0.30, T=defect in transmission⇒PT=0.20,F=defect in fuel system⇒PF=0.10,O...

Q: Married Couples with Children 2000 is approximately The percentage of families that were married cou...

A: Given: The percentage of families that were married couples with children between 1970 and 2000 is a...

Q: 2. For a non-zero vector ū(t), show that dů dt 1 dū Juldt du dt where û is the unit vector in the di...

A: Let u→ be the vector and |u |→ is the magnitude of u.→ unit vector u⏜ is given by:  u^=u→|u→| Differ...

Q: 12. Explain why the solutions of the simultaneous equations ax + by + c = 0 dx + ey + ƒ = 0 have rat...

A:

Q: Prove that (1234) is not the product of 3-cycles.  Generalize.

A: Given: Given cycle is 1234 we want to prove that 1234 is not product of 3-cycles.

Q: Do a prediction using Taylor Expansion Series. Using a base point until finding that the error is le...

A: The Taylor polynomial expansion will be: For x=a, P(x)=f(a)+f'(a)(x-a)+f''(a)2!(x-a)2+……………+f(k)(a)k...

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1200 – 0.005x? - 0.01y2, wh...

A: Here, starting coordinates are 60,40,1166

Q: Find the domain and the range of the relation shown in the given graph. Also, determine whether the ...

A: Consider the given graph. In the given graph, the domain of the graph is -4,4, the given point are l...

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

A: Solve the method by the graphical method.   Here first draw the constraint:

Q: 2) A manufacturer is test-marketing a closed-circuit TV to be sold for home poll is made of 100 peop...

A: Number of people in N' that is we need to find people other than who are not interested. which is pe...

Q: Which of the following matrices are rotation matrices? Select all that apply. 1 A B = 1 1 C = 1 0 1 ...

A:

Q: What is the remainder of 29447 when divided by 13

A: Use the properties of congruence here. Find the value of b such that                             294...

Q: Differential equations help

A:

Q: Number 2

A: Given the equation of hyperbola x+2210-y+4225=1 The standard form of hyper bola x2a2-y2b2=1 Therefor...

Q: Linear Algebra

A: The given linear system is                                          x+2y-z=-13x-y+z=-62x     -2z=-6 ...

Q: An experienced invoice clerk makes an error once in every 100 invoices, on average. (a) What is the ...

A: Given that, the sample size is n=100 and the probability that the clerk makes an error in an invoice...

Q: Find the volume of the largest rectangular box in the first octant with three faces in the coordinat...

A: We have to find the volume of the largest rectangular box in the first octant with three faces in th...

Q: Linear Algebra

A:

Q: (ii) to the force of gravity . Assume that an object with mass m is dropped from a height so and tha...

A: The given equation is St=S0-mgkt+m2gk21-ektm. The given values are g=32.17fts2,S0=300 ft, m=0.25 lb ...

Q: Advanced Math Question

A:

Q: #27 dorections on top of pic.. please explain every step esp J

A: Given, r(t)=eti+e-2tj, t=0.   The tangential component of the acceleration is given by aT=ddt|v|. Th...

Q: What was the sale price of the shoes?

A: The objective is to find the sale price of the shoes. Given: original price: $70, discount: 30%.

Q: How do I show this? Could you show detailed explanation for this?

A: Any rational number can be written in the form p/q where p and q are relatively prime integers.Since...

Q: Please help ASAP

A:

Q: Linear algebra number 9 show all work

A: T can be viewed as the composition of two transformations so let's break up the standard matrix  A=A...

Q: 6.1 - see attached

A: The probability of an event is given by, PE=Number of favorable outcomesTotal number of outcomes. Th...

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of...

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is tw...

Q: Water glasses on a shelf are broken and must be replaced. The replacement cost can be cut in half if...

A: Let x denotes the number of glasses. Since when the glasses area arranged in rows of 6, 3 glasses ar...

Q: Please answer it

A:

Q: 2. The values of a periodic function f in one full period are given. (a) Sketch the graph of the fun...

A: (1) Graph of fx=x2+1 , 0&lt;x&lt;2 is:    

Q: PP# 4: Can you help me solve and understand this practice problem, please? A clear step by step expl...

A: PART A The maximum value of the temperature occurs when ∇T and the unit vector are in the same direc...

Q: 186 people seated at different tables in a Mexican restaurant were asked if their party had ordered ...

A: Fill the numbers as follows:

Q: An electronics store sells seven times as many printers as fax machines. If sales for the month tota...

A: Given: 1600 pieces were sold Let xbe the number of fax machine sold. Let 7x be the number of printer...

Q: For the following, write out each term of the summation in the boxes provided. Then compute the sum....

A: (a). The given series is ∑i=15-1i2. The sum of the series is computed as follows: ∑i=15-1i2=-112+-12...

Q: I need help solving these two subsets for Cartesian Product. For each of the sets below, write out i...

A:

Q: (a) A car is driving on a circular lane with a radius of 1 (km). At the southernmost point of the co...

A: (a) Given that, the radius of the track R=1 km, the distance between car and the Rader meter is S=0....

Q: You are dealt 1 card from a standard deck of 52 cards. (Jacks, Queens, and Kings are face cards.) En...

A: Total number of pick one card from the deck of 52 is so total number of outcome is C152 outcome of p...

Q: For a non negative whole number n, let the function fn be given by (picture).  where n!= 1*2...n, wi...

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.