compared to the 1970s, how has the proportion of middle-aged women in the 2010s who opted not to have children changed?

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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The number of adult tickets will be 160 and the number of student tickets will be 50.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A performance center sells grown-up tickets and understudy tickets. A sum of 210 tickets are sold and the proportion of grown-up tickets offered to understudy tickets sold is 16: 5.

Let x be the number of adult tickets and y be the number of student tickets. Then the equations are given as,

x + y = 210                 ....1

x / y = 16 / 5

x = (16/5)y                ....2

From equations 1 and 2, then we have

(16/5)y + y = 210

(21/5)y = 210

y = 50

Then the value of 'x' is given as,

x = (16/5) * 50

x = 16 * 10

x = 160

The number of adult tickets will be 160 and the number of student tickets will be 50.

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The farm for sale measures 1120 acres.  

How many acres are equivalent to one square mile?

1 square mile= 640 acres.

To convert square miles to acres, we need to know that there are 640 acres in one square mile.

Given that the farm for sale measures one and three-quarter square miles, we can calculate the number of acres as follows:

1 and 3/4 square miles = 1.75 square miles  

Number of acres = 1.75 square miles * 640 acres/square mile

Number of acres = 1120 acres

Therefore, the farm for sale measures 1120 acres.

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Answer:

answer 11/12

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

f×(-5)×9

=-45f

multiplying an odd number of negative terms makes the product negative.

Answer:

the expression has three factors

Step-by-step explanation:

(2-7y)(y+15)

2y+30-7y-105

-5y+30-105

The expression (2 – 7)(y + 15) has 1 factor.

A number or algebraic expression that evenly divides another number or expression, i.e., leaves no remainder, is referred to as a factor.

An expression which has the highest power of one of the variable is called one degree or linear polynomial.

The given expression is;

(2 – 7)(y + 15)

As, the expression has variable 'y', which has the highest power of one. It means the expression is a one degree polynomial.

The factor of polynomial is always equal to its degree; here in this case it is one.

Therefore, the expression (2 – 7)(y + 15) has only one factor.

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Answer:

  4x^2 +12x +44 remainder 161x +84

Step-by-step explanation:

At each step, the quotient term is the ratio of the leading dividend term to the leading divisor term. The first quotient term, for example, is ...

  (4x^4)/(x^2) = 4x^2

The quotient term found this way is multiplied by the divisor and subtracted from the dividend. The difference is the new dividend and the process repeats.

You're done when the degree of the dividend is less than the degree of the divisor. This remainder can be expressed as a fraction with the divisor as the denominator.

  \(\dfrac{4x^4+5x-4}{x^2-3x-2}=4x^2+12x+44+\dfrac{161x+84}{x^2-3x-2}\)

The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.

The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.

Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.

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The value of sink in triangle is 0.64.

KEF is a right angled triangle.

We have to find the value of sink.

From the triangle , KE is 105, EF is 88 and KF is 137.

We know that sine function is a ratio of opposite side and hypotenuse.

The opposite side of k is EF which is 88.

Hypotenuse us 137.

Sink=88/137

=0.64

Hence, the value of sink in triangle is 0.64.

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Hey there!

”How many hours is 220 minutes​?”

1 hour contains about 60 minutes.

1 minute contains about 60 seconds.

So, in order to find out the amount of hours/minutes of how many hours you have in 220 minutes you have to DIVIDE 220 from 60 and it should give you the exact result or estimation of your result.

220 / 60

= 3.66667

≈ 3 hours 39 minutes

≈ 3 hours 40 minutes

Therefore, your answer is:

3 hours & 39 minutes

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The number of hours in 220 minutes is 3.67 hours.

The given time is 220 minutes.

In math, time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future. Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.

We know that, 1 hour = 60 minutes

Here, number of hours =  220/60

= 22/6

= 3.67 hours

Therefore, the number of hours in 220 minutes is 3.67 hours.

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Answer:

Substitution Property

To find the distance from point P to line AB, we can use the formula for the distance between a point and a line. In this case, line AB can be represented by two points A(-4,0) and B(-1,-3).

The formula for the distance between a point (x1, y1) and a line represented by two points (x2, y2) and (x3, y3) is: Distance = |(x2 - x1)(y3 - y1) - (x3 - x1)(y2 - y1)| / √((x2 - x1)^2 + (y2 - y1)^2). Using the coordinates of point P(2, 2) and line AB points A(-4,0) and B(-1,-3), we can calculate the distance: Distance = |(-4 - 2)(-3 - 2) - (-1 - 2)(0 - 2)| / √((-4 - 2)^2 + (-1 - 2)^2). Simplifying the expression: Distance = |-6 - (-3) - (-3 - 4)| / √((-6)^2 + (-3)^2). Distance = |-6 + 3 + 7| / √(36 + 9). Distance = |4| / √(45). Distance = 4 / √45= 0.6.

Approximating the value to the nearest tenth: Distance ≈ 0.6. Therefore, the distance from point P(2, 2) to line AB, rounded to the nearest tenth, is approximately 0.6 units.

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Answer:

A (7)

Step-by-step explanation:

14/2=7

Answer:

i think its a) 7

Step-by-step explanation:

From what i learned, to find the unit rate/slope you must do y/x or rise/run. In this case 14 is y and 2 is x. You divide 14 by 2 and get 7! Hope this helps! Brainliest would be much appreciated! <3

Answer:

The average change in balance each day during his time $41

Step-by-step explanation:

Here, we want to write an integer to represent the average balance change in the 30 days period.

First, let’s find difference between opening and closing balance= (1800-570) = 1230

We shall now divide this by 30 = 1230/30 = $41

Answer:

The average chang in his time is 41

Step-by-step explanation:

The height of bridge in the square is 15 units. This is determined by using the ratio of sides in a 30-60-90 triangle and multiplying the hypotenuse by the corresponding ratio for the shorter leg, which is 1.

Let's calculate the height of the bridge step by step using the given information

In a 30-60-90 triangle, the ratio of the sides is 1:√3:2.

Given:

Hypotenuse = 15

Step 1: Determine the length of the shorter leg (height of the bridge)

Since the ratio is 1:√3:2, the length of the shorter leg can be found by multiplying the hypotenuse by the ratio corresponding to the shorter leg, which is 1.

Length of the shorter leg = 15 * 1 = 15

Step 2: Simplify the expression for the shorter leg

Since the hypotenuse of the 30-60-90 triangle is given as 15, the length of the shorter leg is also 15.

Height of the bridge = 15

Therefore, the height of the bridge is 15 units.

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Answer:

x = $3.5

y = $2.25

z = $1.5

Step-by-step explanation:

let x = price of a hotdog

y = price of a drink

z = price of a pretzel

according to the question:

Davis family spends: 3x+2y+z = $16.50 (equation 1)

Ruiz family spends: 4x+4y+2z = $26      (equation 2)

Cho family spends: 2x+y+3z = $13.75     (equation 3)

from eq. 1

z = 16.50-3x-2y

substituting in eq.2

4x+4y+2(16.50-3x-2y) = 26

4x+4y+33-6x-4y=26

-2x=26-33

thus x = $3.5

from eq. 3

y = 13.75-2x-3z

y = 13.75-2(3.5)-3z

y = 13.75-7-3z

y=6.75-3z

thus,

z = 16.50-3(3.5)-2(6.75-3z)

z = 16.50-10.5-13.5+6z

z-6z = -7.5

-5z = -7.5

thus z = $1.5

thus

y = 6.75-3(1.5)

y = $2.25

Answer:

all except d because d is negative 6

Answer:

B F G C

Step-by-step explanation:

I-2l erases the negative sign unless its liie this -l-2l

Hey there! I'm happy to help!

Let's call our hours h. Here is what we have going on.

42-9h

4:00 PM is 7 hours after 9:00 AM. So, we will replace the h with 7 and evaluate.

42-9(7)

42-63=-21

Therefore, the temperature would be -21°F.

Have a wonderful day! :D

Answer:

128.86 square centimetres

Step-by-step explanation:

I will assume that the shaded region is the area in between the circle and the rectangle.

All we have to do is find the area of the circle and subtract it from the area of the rectangle.

Area of a circle is given as:

\(A = \pi r^2\)

where r = radius

The radius of the circle is 1 cm, so, the area of the circle is therefore:

\(A = \pi * 1^2\) = 3.14 square centimetres

The area of a rectangle is given as:

A = L * B

The dimensions of the rectangle are 11 cm by 12 cm. The area of the rectangle is:

A = 11 * 12 = 132 square centimetres

The area of the shaded part is therefore:

A = 132 - 3.14 = 128.86 square centimetres

The position function x(t) is x(t) = e²(-4t)(5cos(2t) + 12sin(2t)),c = 16 and c-c = 8√5 =17.89. Since c < c-c, the motion is underdamped ,The position function x(t) in the form Ce²at cos(bt - α) is: x(t) = 13e²(-4t)cos(2t - 1.176).

To find the position function x(t) for the given system, to solve the second-order linear differential equation that describes the motion of the object. The equation is given by: m × d²x/dt² + c × dx/dt + k × x =0 where m is the mass, c is the damping constant, and k is the spring constant.

a. Find the position function x(t):

The differential equation. Substituting the given values,

2 × d²x/dt² + 16 × dx/dt + 40 × x = 0

This equation, a solution of the form x(t) = e²(rt), where r is a constant. Substituting this into the equation,

2 × r² × e²(rt) + 16 × r × e²(rt) + 40 × e²(rt) = 0

Dividing through by e²(rt),

2 ×r² + 16 × r + 40 = 0

Dividing the equation by 2 to simplify,

r² + 8r + 20 = 0

Using the quadratic formula,

r = (-b ± √(b²- 4ac)) / (2a)

a = 1, b = 8, and c = 20. these values into the formula:

r = (-8 ± √(8² - 4 × 1 × 20)) / (2 × 1)

= (-8 ± √(64 - 80)) / 2

= (-8 ± √(-16)) / 2

Since the discriminant is negative,

r = (-8 ± 4i) / 2

= -4 ± 2i

Therefore, the solution to the differential equation is of the form:

x(t) = e²(-4t)(C₁cos(2t) + C₂sin(2t))

To find the values of C₁ and C₂. The initial conditions x(0) = 5 and v(0) = 4. Differentiating x(t) with respect to t,

dx/dt = -4e²(-4t)(C₁cos(2t) + C₂sin(2t)) + e²(-4t)(-2C₁sin(2t) + 2C₂cos(2t))

At t = 0, x(0) = 5:

5 = e²0(C₁cos(0) + C₂sin(0))

5 = C₁

At t = 0, v(0) = 4:

4 = -4e²0(C₁cos(0) + C₂sin(0)) + e²0(-2C₁sin(0) + 2C₂cos(0))

4 = -4C₁ + 2C₂

4 = -20 + 2C₂ (substituting C₁ = 5)

24 = 2C₂

C₂ = 12

b. Is the motion overdamped, critically damped, or underdamped? Give your reasoning.

To determine the nature of the motion, the damping coefficient c to the critical damping coefficient c-c. The critical damping coefficient is given by:

c-c = 2 × √(m × k)

c-c = 2 × √(2 × 40)

= 2 × √80

= 2 × 4√5

= 8√5

If c > c-c, the motion is overdamped.

If c = c-c, the motion is critically damped.

If c < c-c, the motion is underdamped.

c. If it is underdamped, write the position function in the form Ce²at cos(bt - α).

The position function x(t) to be:

x(t) = e²(-4t)(5cos(2t) + 12sin(2t))

Comparing this to the desired form Ce²at cos(bt - α),

x(t) = e²(-4t)√(5² + 12²)cos(2t - α)

where √(5² + 12²) = 13 and α = atan(12/5) ≈ 1.176.

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Answer:

17.5

Step-by-step explanation:

Answer:

times 3

Step-by-step explanation:

So this is like integers because it is negative numbers and positive numbers when it is positive and odd numbers that means you could use a number line because numberlines have positive and negative numbers.

Answer:

= 25

Step-by-step explanation:

solve the equation and answer it

Answer:

Answer: c

Step-by-step explanation:

A. ❎

\(16 +( 4 \times {5}^{2} ) \\ = 16 + 100 \\ = 116\)

B. ❎

\(16 +( 4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)

C. ✔

\(16 + (4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)

D. ❎

\(16 + (4 \times {5}^{2} ) \\ = 16 + (4 \times 25) \\ = 16 + 100 \\ = 116\)

If the sales tax is 6. 35% then Claire's total is $15.63

In this questiion we have been given Claire buys a pair of earrings for $4, a necklace for $10, and a ring for $7.

So, her total purchase is:

4 + 10 + 7 = 21 dollars

She has a 30% off coupon for her whole transaction.

We find the 30 percent of 21

(30/100) * 21 = 6.3 dollars

So, she will get discount of 6.3 dollars.

So, the amount would be,

21 - 6.3 = $14.7

The sales tax is 6. 35%

Now we find 6.35 percent of 14.7

6.35% of 14.7

= 0.0635 × 14.7

= 0.933

So, the total purchase amount would be,

$14.7 + $0.933 = $15.63

Therefore, the total is $15.63

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Start by adding the whole part of the numbers

then add the fractions

since the fraction also gave a mixed number it can be added to the whole part we already had

The correct answer option is the fourth one.

Henry is predicted to receive 360 votes, Christy is predicted to receive 420 votes, and Celina is predicted to receive 220 votes for the president’s position.

What is probability?

Probability is a measure of the likelihood of an event occurring.

Part A:

To predict how many votes each candidate for president will get in the election, we can set up a proportion between the sample and the population

Let x be the number of votes each candidate will receive in the election.

For Henry:

36/150 = x/1500

x = (36/150) * 1500

x = 360

For Christy:

42/150 = x/1500

x = (42/150) * 1500

x = 420

For Celina:

22/150 = x/1500

x = (22/150) * 1500

x = 220

Therefore, Henry is predicted to receive 360 votes, Christy is predicted to receive 420 votes, and Celina is predicted to receive 220 votes for the president’s position.

Part B:

Based on the survey results, Christy is most likely to get the highest percentage of votes for the president’s position with 42/100 votes, which is approximately 42%.

Part C:

To predict how many votes each candidate for vice president will get in the election, we can set up a proportion between the sample and the population.

Let x be the number of votes each candidate will receive in the election.

For Tristan:

14/150 = x/1500

x = (14/150) * 1500

x = 140

For Kenny:

46/150 = x/1500

x = (46/150) * 1500

x = 460

For Madison:

40/150 = x/1500

x = (40/150) * 1500

x = 400

Therefore, Tristan is predicted to receive 140 votes, Kenny is predicted to receive 460 votes, and Madison is predicted to receive 400 votes for the vice president’s position.

Part D:

Based on the survey results, Kenny is most likely to get the highest percentage of votes for the vice president’s position with 46/100 votes, which is approximately 46%.

Part E:

To predict how many votes each candidate for treasurer will get in the election, we can set up a proportion between the sample and the population.

Let x be the number of votes each candidate will receive in the election.

For Priscilla:

53/150 = x/1500

x = (53/150) * 1500

x = 530

For Reuben:

24/150 = x/1500

x = (24/150) * 1500

x = 240

For Erica:

23/150 = x/1500

x = (23/150) * 1500

x = 230

Therefore, Priscilla is predicted to receive 530 votes, Reuben is predicted to receive 240 votes, and Erica is predicted to receive 230 votes for the treasurer’s position.

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