the number of women graduating from​ 4-yr colleges in a particular country grew from 1930​, when 48,752 women earned a​ bachelor's degree, to 2009​, when approximately 764,000 women received such a degree. find an exponential function that fits the​ data, and the exponential growth rate.

Limaçons, Cardioids, and other polar curves are curves described in polar form by their radial distance from the origin and the angle they make with a fixed reference line

In polar form, curves are described in terms of their radial distance from the origin and the angle they make with a fixed reference line.

Here are the definitions of some common polar curves:

Limaçons: A limaçon is a polar curve defined by the equation r = a + b cos(θ) or r = a + b sin(θ), where a and b are constants. The shape of the limaçon depends on the values of a and b. If a > b, the curve has a loop that encloses the origin; if a = b, the curve is a cardioid; and if a < b, the curve has a dimple that encloses the origin.

Cardioids: A cardioid is a special case of a limaçon where a = b. The equation of a cardioid is r = a + a cos(θ) or r = a + a sin(θ), where a is a constant. A cardioid looks like a heart-shaped curve.

Learn more about polar curve here

brainly.com/question/19717042

#SPJ4

Answer:

(0, 2) and (1, 0)

Step-by-step explanation:

Midsegments are points that connect midpoints of both sides.

And the midpoints of BC and DC are (0, 2) and (1, 0).

Also the line, when connected is parallel to BD

Answer:

listen to the other guy

or girl

Step-by-step explanation:

It will take at least 14 weeks to have at least $500.

The relation between two unequal expressions is defined as inequality.

Given that, the person has $150 in his account and he deposits $25 each week into this account.

The amount in the account after w weeks is:
150 + 25w

Let the amount in the account after w weeks is at least $500, then  it follows:

150 + 25w ≥ 500

25w ≥ 500 - 150

25w ≥ 350

w ≥ 14

Hence, it will take at least 14 weeks to have at least $500.

To learn more about inequalities, click here:

https://brainly.com/question/28823603

#SPJ2

Answer:

sorry i didnt really understand

The height of the rectangle is

⇒ Height = 1/2 ft

A rectangle is a 2 - dimension figure with 4 sides, 4 corners and 4 right angles. And, Opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

Length of the rectangle = 5/3 ft

Area of the rectangle = 5/6 ft

We know that;

Area of rectangle = Length x Height

Hence, We get;

5/6 ft = 5/3 ft x Height

5/6 x 3/5 = Height

Height = 1/2 ft

Thus, The height of the rectangle is;

⇒ Height = 1/2 ft

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ1

The value of the iterated integral is 16/3.

To calculate the iterated integral ∫∫R (x + y)^2 dx dy, where R is the region bounded by x = 0, x = 1, y = 0, and y = 2, we can first integrate with respect to x and then with respect to y.

∫∫R (x + y)^2 dx dy

= ∫[0,2] ∫[0,1] (x + y)^2 dx dy

Let's begin by integrating with respect to x:

∫[0,1] (x + y)^2 dx

= [ (1/3)(x + y)^3 ] evaluated from x = 0 to x = 1

= (1/3)(1 + y)^3 - (1/3)(0 + y)^3

= (1/3)(1 + y)^3 - (1/3)y^3

Now, we can integrate this expression with respect to y:

∫[0,2] [(1/3)(1 + y)^3 - (1/3)y^3] dy

= (1/3) ∫[0,2] (1 + y)^3 dy - (1/3) ∫[0,2] y^3 dy

For the first integral, we can use the power rule for integration:

(1/3) ∫[0,2] (1 + y)^3 dy

= (1/3) [ (1/4)(1 + y)^4 ] evaluated from y = 0 to y = 2

= (1/3) [ (1/4)(1 + 2)^4 - (1/4)(1 + 0)^4 ]

= (1/3) [ (1/4)(3^4) - (1/4)(1^4) ]

= (1/3) [ (1/4)(81) - (1/4) ]

= (1/3) [ 81/4 - 1/4 ]

= (1/3) (80/4)

= (1/3) (20)

= 20/3

For the second integral, we can also use the power rule for integration:

(1/3) ∫[0,2] y^3 dy

= (1/3) [ (1/4)y^4 ] evaluated from y = 0 to y = 2

= (1/3) [ (1/4)(2^4) - (1/4)(0^4) ]

= (1/3) [ (1/4)(16) - (1/4)(0) ]

= (1/3) (16/4)

= (1/3) (4)

= 4/3

Combining the results:

∫∫R (x + y)^2 dx dy

= (20/3) - (4/3)

= 16/3

Know more about iterated integral here;

https://brainly.com/question/29632155

#SPJ11

Answer:

C

Step-by-step explanation:

x2+y2=9 is an example of a non function because there is at least one x value with two or more y values .

The equation below does NOT represent a function is D x² + y² = 6

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) .

x² + y² = 9 is an example of a non function because there is at least one x value with two or more y values .

Now, y = 4

y = x - 4

y = x^2 - 4

Also, x² + y² = 6

This is not a function as there should be minimum one x value with two or more y values. this equation does not meet the criteria so this represent non-function.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ6

Answer:

90

Step-by-step explanation:

Take the cost of each book and multiply by the number of people who bought each book

7.50 * 12

90

In reality, 21.19% of the hams weigh 21.19% less than is stated on the label.

u=9.2,\(\sigma= 0.25\)

Requrired proportion =P(X<a)

\(=P(\frac{X-\mu}{\sigma} < \frac{9-9.2}{0.25})\\= P(z < 0.8)=21.19 \%\\=21.19\%\)

when b(i) the mean is increased

Required Probability= P(X<a)

\(=P(\frac{X-\mu}{\sigma} < \frac{9-9.25}{0.25})\\= P(z < -1)=0.1587\\=0.1587\)

when still is decreased

Required Probability = P(X<a)

\(=P(\frac{X-\mu}{\sigma} < \frac{9-9.2}{0.25})\\= P(z < -1.333)=0.0912\\=0.0912\)

Probability is a branch of mathematics that deals with the study of uncertainty and randomness. It involves the analysis of the likelihood of an event occurring, based on the available information and past experiences. Probability can be expressed as a number between 0 and 1, where 0 means an event is impossible and 1 means it is certain to occur.

Probability has a wide range of applications in various fields such as statistics, economics, physics, engineering, and finance. It is used to model complex systems, make predictions, and solve problems involving uncertain events. For example, in gambling, probability is used to calculate the odds of winning or losing, while in finance, it is used to evaluate investment risks and returns.

To learn more about Probability  visit here:

brainly.com/question/30034780

#SPJ4

Complete Question:-

The weights of canned hams processed at Henline Ham Company follow the normal distribution, with a mean of 9.20 pounds and a standard deviation of 0.25 pound. The label weight is given as 9.00 pounds. a. What proportion of the hams actually weigh less than the amount claimed on the label? (Round your answer to 2 decimal places.)

Answer: 47

Step-by-step explanation:

n+7m n=5 m=6

5+7x6

7x6=42

42+5=47

Answer:

47

Step-by-step explanation:

As you can see M = 6 and N = 5

so you just put in the numbers into the equation

(5) + 7(6)

bracket means times

use your calculator then you will get 47

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

8 3/8

Step-by-step explanation:

Absolute value is the opposite of a number, or the number in positive values. Absolute value signs are the lines you find on your computer. An absolute value equation might look like this : |-13 1/4 - 12 7/8|

The total distance travelled by the particle from t=1 to t=4 is 98 feet.

1) We can find velocity by taking the derivative of position i.e. s'(t)=15. It means that the particle is moving with a constant velocity of 15 ft/s when acceleration is zero.2) The particle is moving in the positive direction if its velocity is positive i.e. s'(t)>0. Similarly, the particle is moving in the negative direction if its velocity is negative i.e. s'(t)<0.Using s'(t)=15, we can see that the particle is always moving in the positive direction.3) We have to find all the local (relative) extrema of the position function. Using s(t)=15t-2, we can calculate the first derivative as s'(t)=15. The derivative of s'(t) is zero which shows that there are no local extrema on the given interval.4) The given function is s(t)=15t-2. We need to find the integral of s(u) from t=1 to t=4. Using the integration formula, we can calculate the integral as:S(t)=∫s(u)du=t(15t-2)dt= 15/2 t^2 - 2t + C Putting the limits of integration and simplifying.

Learn more about distance here:

https://brainly.com/question/13034462

#SPJ11

For z = 3.54, the percentage of the total population between the mean and this z-score is 0.313%, rounded to two decimal places. For z = -0.70, the percentage of the total population between the mean and this z-score is 24.21%, rounded to two decimal places.

The principal question is requesting the level of the complete populace that falls between the mean and a z-score of 3.54 in a standard typical circulation. This can be tracked down by looking into the region under the standard typical bend between 0 (the mean) and 3.54 utilizing a standard ordinary conveyance table or mini-computer. The response is around 0.0002 or 0.02%.

The subsequent inquiry is posing for the level of the all out populace that falls between the mean and a z-score of - 0.70 in a standard typical circulation. Once more, this can be tracked down by looking into the region under the standard typical bend between 0 (the mean) and - 0.70 utilizing a standard deviation circulation table or mini-computer. The response is roughly 24.38%.

To learn more about mean and standard deviation, refer:

https://brainly.com/question/13502765

#SPJ4

Answer:

40

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

the median is the middle number

Answer:

13

Step-by-step explanation:

middle number

Interest groups, also known as special interest groups or pressure groups, are organizations that seek to influence public policy by promoting specific causes or by representing the interests of a particular group of people. There are many functions that interest groups serve in a political system including advocacy, information, mobilization, representation and coordination.

Advocacy: Interest groups advocate for the causes or issues that they support by lobbying politicians, running public awareness campaigns, and participating in the policymaking process.

Information: Interest groups provide information and research about the issues they care about to policymakers, the media, and the general public.

Mobilization: Interest groups mobilize their members and supporters to take action on issues, such as contacting politicians or participating in demonstrations.

Representation: Interest groups represent the interests of their members or the groups they serve by advocating for policies that benefit those groups.

Coordination: Interest groups can coordinate the efforts of individuals and organizations that share similar goals or values, helping to build a unified movement around a particular issue.

Overall, interest groups play an important role in a political system by providing a voice for groups of people or causes that may not otherwise be represented in the policymaking process.

To know more on interest groups for the political system

https://brainly.com/question/29796737

#SPJ4

The number of people who owned both a cat and a dog is 73.

We need to calculate how many people owned both a cat and a dog. The number of people who owned a dog and/or a cat is:

Total = dog-only + cat-only + dog-and-cat + neither

Total = 145 + 60 + dog-and-cat + 71

Total = 276 + dog-and-cat

So, the number of people who owned both a cat and a dog (dog-and-cat) is:

dog-and-cat = Total - 276

dog-and-cat = 349 - 276

dog-and-cat = 73

However, this number is the total of those who own both. The answer to the question asks how many owned both a cat and a dog.

So:

dog-and-cat = dog-only + cat-only + dog-and-cat

dog-and-cat = 145 + 60 + dog-and-cat

73 = 145 + 60 + dog-and-cat

dog-and-cat = 73 - 205

dog-and-cat = -132

Hence, 132 people neither own a dog nor a cat. So, the number of people who owned both a cat and a dog is:

dog-and-cat = Total - (dog-only + cat-only + neither)

dog-and-cat = 349 - (145 + 60 + 71)

dog-and-cat = 349 - 276

dog-and-cat = 73

Therefore, the number of people who owned both a cat and a dog is 73.

Learn more about addition operations at

https://brainly.com/question/15379898

#SPJ11

The statement "an endomorphism is injective if and only if it is not an eigenvalue" is not true in general.

An endomorphism is a linear map from a vector space to itself. An endomorphism is said to be injective if it preserves distinctness of elements, i.e., if it maps different vectors to different vectors. On the other hand, an eigenvalue of an endomorphism is a scalar that satisfies a certain equation involving the endomorphism and a non-zero vector called an eigenvector.

Now, the statement "an endomorphism is injective if and only if it is not an eigenvalue" is not true in general. In fact, the two concepts are not directly related. It is possible for an endomorphism to be injective and have eigenvalues, and it is possible for an endomorphism to not have eigenvalues and not be injective.

However, if we consider a specific case where the endomorphism is a linear transformation on a finite-dimensional vector space, then we can make the following statement: "an endomorphism is injective if and only if it does not have 0 as an eigenvalue." This statement is true because an endomorphism is injective if and only if its kernel (the set of vectors it maps to 0) is trivial (only the zero vector). This happens if and only if 0 is not an eigenvalue, since an eigenvalue of 0 means that there exists a non-zero vector that is mapped to 0.

In summary, the statement "an endomorphism is injective if and only if it is not an eigenvalue" is not true in general, but it is true in the specific case of a linear transformation on a finite-dimensional vector space: "an endomorphism is injective if and only if it does not have 0 as an eigenvalue."

To know more about vector space refer here:

https://brainly.com/question/13058822

#SPJ11

Answer:

C) Because it is 5 units to the left of 3 on a horizontal number line

Step-by-step explanation:

You have to go 5 steps back to the left of 3 to get to -2.

See attached drawing for visual assistance on this problem:

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

Read more on scale factor here: brainly.com/question/29967135

#SPJ1

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Let's first write the equation given

x²+6x-13=0

They have told us to use "Completing the square" method.

So we need write x²+6x-13 as a whole square.

x²+6x-13=0

x²+(2*3*x)-9-4 = 0

x²+(2*3*x)-3²=4

Now we can write the LHS as:

(x - 3)²=2²

Hence,

x-3 can either be 2 or -2

Now,

x - 3=2

x=5

Or,

x - 3=-2

x=1

Therefore now we know that x can either be 1 or  5. So the correct answer is  Option B.

Step-by-step explanation:

x squared+6x-13=0

carry over that into the other side of the equal sign and then make the other side of the equal sign a perfect square

x squared +6x+3 squared=13+9(3 squared)

find the square root of both sides

(x+3)=class plus or minus

(a) The number of possible schedules that the student can create from the offerings is 96.

(b) the number of possible schedules that the student can create from the offerings if two of the math 100 sections are closed is 48.

(c) the number of possible schedules that the student can create from the offerings if two of the math 100 sections and four of the English 105 sections are closed is 4.

(a) To find the total number of possible schedules, we need to multiply the number of choices for each class:

Number of schedules = 4 x 2 x 3 x 4 = 96

So, there are 96 possible schedules that the student can create from the offerings.

(b) If two of the math 100 sections are closed, then there are only two choices for that class. So, we have:

Number of schedules = 2 x 2 x 3 x 4 = 48

So, there are 48 possible schedules that the student can create from the offerings with two of the math 100 sections closed.

(c) If two of the math 100 sections and four of the English 105 sections are closed, then there are only two choices for math 100 and one choice for English 105. So, we have:

Number of schedules = 2 x 2 x 1 x 1 = 4

So, there are 4 possible schedules that the student can create from the offerings with two of the math 100 sections and four of the English 105 sections closed.

To learn more about sections here:

https://brainly.com/question/17486474

#SPJ4

True. In many situations, the true mean and standard deviation of a population are unknown and have to be estimated based on sample data. This is especially true in statistical inference, where we use sample statistics to make inferences about population parameters. For example, in hypothesis testing or confidence interval estimation, we use sample means and standard deviations to make inferences about the population mean and standard deviation.

To know more about standard deviation , refer here :

https://brainly.com/question/12402189#

#SPJ11

The minimum value of V occurs at x ≈ 0.93, which means that the volume of the box is smallest when the height is about 0.93 units.

To find the extreme values of V, we need to take the derivative of V and set it equal to zero. So, let's begin:

\(V(x) = x(10-2x)(16-2x)\)
Taking the derivative with respect to x:
\(V'(x) = 10x - 4x^2 - 32x + 12x^2 + 320 - 48x\)
Setting V'(x) = 0 and solving for x:
\(10x - 4x^2 - 32x + 12x^2 + 320 - 48x = 0\\8x^2 - 30x + 320 = 0\)
Solving for x using the quadratic formula:
\(x = (30 ± \sqrt{(30^2 - 4(8)(320))) / (2(8))\\x = (30 ± \sqrt{(1680)) / 16\\x = 0.93 or x =5.07\)
So, the extreme values of V occur at x ≈ 0.93 and x ≈ 5.07. To determine whether these are maximum or minimum values, we need to examine the second derivative of V. If the second derivative is positive, then the function has a minimum at that point. If the second derivative is negative, then the function has a maximum at that point. If the second derivative is zero, then we need to use a different method to determine whether it's a maximum or minimum.

Taking the second derivative of V:
V''(x) = 10 - 8x - 24x + 24x + 96
V''(x) = -8x + 106

Plugging in x = 0.93 and x = 5.07:
V''(0.93) ≈ 98.36 > 0, so V has a minimum at x ≈ 0.93.
V''(5.07) ≈ -56.56 < 0, so V has a maximum at x ≈ 5.07.

Now, to interpret these values in terms of the volume of the box, we need to remember that V(x) represents the volume of a box with length 2x, width 2x, and height x. So, the maximum value of V occurs at x ≈ 5.07, which means that the volume of the box is greatest when the height is about 5.07 units. The minimum value of V occurs at x ≈ 0.93, which means that the volume of the box is smallest when the height is about 0.93 units.

learn more about extreme values

https://brainly.com/question/1286349

#SPJ11

a) The extreme values of V are:

Minimum value: V(0) = 0

Relative maximum value: V(3) = 216

Absolute maximum value: V(4) = 128

b) The absolute maximum value of V at x = 4 represents the case where the box has a square base of side length 4 units, height 2 units, and width 8 units, which has a volume of 128 cubic units.

a) To find the extreme values of V, we first need to find the critical points of the function. This means we need to find where the derivative of the function equals zero or is undefined.

Taking the derivative of V(x), we get:

\(V'(x) = 48x - 36x^2 - 4x^3\)

Setting this equal to zero and solving for x, we get:

\(48x - 36x^2 - 4x^3 = 0\)
4x(4-x)(3-x) = 0

So the critical points are x = 0, x = 4, and x = 3.

We now need to test these critical points to see which ones correspond to maximum or minimum values of V.

We can use the second derivative test to do this. Taking the derivative of V'(x), we get:

\(V''(x) = 48 - 72x - 12x^2\)

Plugging in the critical points, we get:

V''(0) = 48 > 0 (so x = 0 corresponds to a minimum value of V)
V''(4) = -48 < 0 (so x = 4 corresponds to a maximum value of V)
V''(3) = 0 (so we need to do further testing to see what this critical point corresponds to)

To test the critical point x = 3, we can simply plug it into V(x) and compare it to the values at x = 0 and x = 4:

V(0) = 0
V(3) = 216
V(4) = 128

So x = 3 corresponds to a relative maximum value of V.
b) In terms of the volume of the box, the function V(x) represents the volume of a rectangular box with a square base of side length x and height (10-2x) and width (16-2x).
The minimum value of V at x = 0 represents the case where the box has no dimensions (i.e. it's a point), so the volume is zero.
The relative maximum value of V at x = 3 represents the case where the box is a cube with side length 3 units, which has a volume of 216 cubic units.
for such more question on extreme values

https://brainly.com/question/30886356

#SPJ11

Answer:

Your answer is 539.93

Step-by-step explanation:

A = pi*r²

A = pi* 13²

A = pi*169

A = 539.93

When a cylinder is intersected by a plane parallel to the bases, the resulting cross-section is a circle.

A cylinder is a solid geometric figure which has two parallel, congruent bases.

The bases are connected by a curved surface called a lateral surface. If a plane is made to intersect a cylinder, the resulting cross-section can be circular or elliptical, depending on how the plane intersects the cylinder.

In this case, if the plane intersects the cylinder parallel to the bases, the resulting cross-section is a circle because any section taken parallel to the base of a cylinder is congruent to the base.

This is true for both right cylinders and oblique cylinders.

Know more about a cylinder  here:

https://brainly.com/question/23935577

#SPJ11

Answer:

3.5

Step-by-step explanation:

-14/-4 = 3.5

Answer:

h=3.5

Step-by-step explanation:

-4h=-14

h=\(\frac{-14}{-4}\)

h=3.5

Answer:

-32x-60y+1122=0

-(32x+60y-1122)=0

32x+60y-1122=0

by factorize

Answer:

24,30

Step-by-step explanation: