In a recent year, 34.4% of all registered doctors were females. If there were 59,300 female registered doctors that year, what was the total number of registered doctors?

round to the nearest whole number

The function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.

A function assigns the value of each element of one set to the other specific element of another set.

As the function that is given to us is f(x)=log₂x, therefore, the function can be written as,

\(y=f(x)=\rm log_2x\)

Now, since we need every point to be up by 5 units, therefore, every value of x should be +5 on the y axis, therefore, the function that will represent that every point up by 5 units of the function f(x) can be written as,

\(g(x) = y+ 5\\\\g(x) = f(x) + 5\\\\g(x) = {\rm log}_2x + 5\)

Hence, the function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.

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Answer:

Its A:  Translate each point of the graph of g(x) 5 units up.

Step-by-step explanation:

Answer:

(7 + 14 + 21 + 28) / 4

= 70/4

= 17.5

Step-by-step explanation:

brainliest plz

Answer:

The average would be 17.5! I hope this helps! :)

Step-by-step explanation:

Add up all your numbers

7+14+21+28 = 70

Then divide by the amount of numbers there are in the set (4)

70/4

17.5

The expression that is equivalent to the given expression is \(3\sqrt[6]{z}\)

From the question, we are to determine which of the expressions is equivalent to the given expression

The given expression is

\(6\sqrt{z} \div \sqrt[3]{8z}\)

The expression can be simplified as

\(6\sqrt{z} \div \sqrt[3]{8z}\)

\(\frac{6\sqrt{z}}{\sqrt[3]{8z}}\)

\(= \frac{6 \times \sqrt{z}}{\sqrt[3]{8} \times \sqrt[3]{z}}\)

\(= \frac{6 \times z^{\frac{1}{2} } }{2 \times z^{\frac{1}{3} }}\)

\(= 3\times z^{\frac{1}{2} -\frac{1}{3}}\)

\(= 3\times z^{\frac{1}{6}}\)

\(= 3\times\sqrt[6]{z}\)

\(= 3\sqrt[6]{z}\)

Hence, the expression that is equivalent to the given expression is \(3\sqrt[6]{z}\)

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The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

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A simple difference is also called a marginal means difference. Option B

In experimental design and statistical analysis, a simple difference refers to the comparison of means between two groups or conditions. It represents the difference in average scores or values between the groups being compared. It is often used to assess the impact of an independent variable on a dependent variable by examining the variation in means between different levels of the independent variable.

The term "marginal means difference" emphasizes that the comparison is based on the average or marginal means of the groups being compared. It helps to distinguish it from other types of differences, such as interaction effects or main effects, which involve more complex comparisons or analyses in factorial designs.

Overall, a simple difference or marginal means difference is a straightforward way to evaluate the effect of an independent variable on a dependent variable by comparing the average values between different groups or conditions.

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Population: All American households.

Sample: The 1780 American households surveyed.

Individuals: The American households participating in the survey.

In the given scenario, we have a survey of 1780 American households that found 59% of the households own a computer. Let's identify the population, sample, and individuals in the study:

Population: The population refers to the entire group or larger set of individuals that we are interested in. In this case, the population would be all American households.

Sample: The sample is a subset of the population that is chosen to represent the population accurately. In this situation, the survey includes 1780 American households. Therefore, the sample is the 1780 households that were surveyed.

Individuals: The individuals in the study are the specific units or elements being surveyed or examined. In this case, the individuals are the American households that participated in the survey. Each household represents an individual within the study.

To summarize:

Population: All American households.

Sample: The 1780 American households surveyed.

Individuals: The American households participating in the survey.

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Answer:

-3(x-4)

Step-by-step explanation:

to factor, you have to find the gcf of both numbers. the gcf is -3

Answer:

-3 (x-4)

Step-by-step explanation:

Take a negative three out of each part of the problem.

Answer: x=40, y=70,

Step-by-step explanation:

To find angle x you first need to find O. You do this by subtract 180-40. Then you would get 140. Take this 140 and subtract it by 180. Your answer for x should be 40.

To find angle y you first need to know that x=40. Taking this you would subtract it by 180. It would leave you with 140. Taking 140 your going to dive it in half to get y. Your answer for y should be 70.

Sorry I'm not sure how to find z.

Other points that are on line f will also be solutions to the linear system. Therefore, option 4 is the correct answer.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, graph lines f and g on the same coordinate plane and they intersect at point (4, 5).

When two lines intersect at (4, 5), then the point is the solution of system of  linear equations.

When substitute x=4 and y=5 in the system of equations, both the equations will be true.

Therefore, option 4 is the correct answer.

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Answer:

Please be more clear and I might be able to help

Step-by-step explanation:

Answer: 9

Step-by-step explanation: pentagon has 5 sides so divide 45 by 5

Answer:

The price per toy is $6.25.

Step-by-step explanation:

The price per toy is calculated by dividing the cost of all toys by the number of toys.

$50/8 = $6.25

The price per toy is $6.25.

Answer:

how am i supposed to know

Step-by-step explanation:

Answer:

Concept: Modeling expressions

The height of the object that falls after 0.75 seconds given that t is represented in seconds is 191 feet.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The expression 200 - 16t^2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped.

We need to find the time after 0.75 seconds given that t is represented in seconds.

The expression is given

\(200 - 16t^2\)

time t = 0.75

Substitute the value of t in the given expression

= 200 - 16(0.75)^2

= 200 - 9

= 191

Hence we get the answer to 191 feet.

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Answer:

Probably the last one but the numbers are kind of jumbled up so...

Step-by-step explanation:

Have a good day

\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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OQ = 62

Given:

OQ = 4x + 2

PQ = 4x - 10

OP = 3x - 3

Since point P is on the line segment OQ, we can conclude that:

OQ = OP + PQ

4x + 2 = (3x-3) + (4x-10)

4x + 2 = 3x + 4x - 3 - 10

4x + 2 = 7x - 13

7x - 4x = 2 + 13

3x = 15

x = 15/3

x = 5

To determine the numerical length of OQ, substitute x = 5 into OQ = 4x+2

OQ = 4(15) + 2

OQ = 60 + 2

OQ = 62

Answer:

Basic wage rate = $9.375 per hour

Step-by-step explanation:

Given :

Fortnight wage = $750

Basic week, hours worked per week = 40 hours

Weekly basic wage rate :

Fortnight = 2 weeks

Hence, weekly wage = fortnight wage / 2 = 750 /2 = $375

Weekly basic wage rate = $375 / Number of hours worked per week = $375 / 40 = $9.375 per hour

Complete question :

Polly’s Pasta and Pizza Supply sells wholesale goods to local restaurants. They keep track of revenue earned from selling kitchen supplies and food products. The function K models revenue from kitchen supplies and the function F models revenue from food product sales for one year in dollars, where t represents the number of the month (1 – 12) on the last day of the month.

K(t)=15t^3–312t^2+1600t+1100

F(t)=36t3–720t2+3800t–1600

In which month was her revenue from food products the greatest? The least?

Answer:

greatest revenue = 4384

Leat revenue = 400 ; October

Step-by-step explanation:

Using the model :

Claculating the revenue from. Food sales from January through December :

F(t)=36t^3–720t^2+3800t–1600

Put t = 1, 2, 3,.. 12 for January through December

t = 1

F(1)=36(1^3) - 720(1^2) + 3800(1) - 1600 = 1516

t = 2

F(2) = 36(2^3) - 720(2^2) + 3800(2) - 1600 = 3408

Inputting the t values up to 12 to cover for January thkorugh December :

We have the data:

t1 = 1516

t2 = 3408

t3 = 4292

t4 = 4384

t5 = 3900

t6 = 3056

t7 = 2068

t8 = 1152

t9 = 514

t10 = 400

t11 = 996

t12 = 2528

Hence, greatest revenue = 4384 (month of April)

Least revenue is at t10(October) ; Lowest revenue is at t 10 = 400

Answer:

512

Step-by-step explanation:

Answer:

12\(x^{2}\) + 6y

Step-by-step explanation:

Answer:

Description of the graph:

it is a linear function in the form y=ax + b, with R as domain and range.

Answer:

x-9

Step-by-step explanation:

1/10×1 =1/10

1/10×9=9/10

so 1/10(1x-9) = 1/10x-9/10

Therefore, the solution is: (a) Yes, x(1) is real.(b) No, x(1) is not even.(c) No, dx(t)/dt is not even.

(a) Yes, x(1) is real because the function x(t) is periodic and the given Fourier series coefficients are 2,

= {²¹4, ak = k = 0 otherwise}.

A real periodic function is the one whose imaginary part is zero.

Hence, x(t) is a real periodic function. Thus, x(1) is also real.(b) Is x(1) even?

To check whether x(1) is even or not, we need to check the symmetry of the function x(t).The function is even if x(t) = x(-t).x(t) = 2, = {²¹4, ak = k = 0 otherwise}.

x(-t) = 2, = {²¹4, ak = k = 0 otherwise}.Clearly, the given function is not even.

Hence, x(1) is not even.(c) Is dx(t)/dt even?

To check whether the function is even or not, we need to check the symmetry of the derivative of the function, dx(t)/dt.

The function is even if dx(t)/dt

= -dx(-t)/dt.x(t)

= 2,

= {²¹4, ak = k = 0 otherwise}.

dx(t)/dt = 0 + 4cos(t) - 8sin(2t) + 12cos(3t) - 16sin(4t) + ...dx(-t)/dt

= 0 + 4cos(-t) - 8sin(-2t) + 12cos(-3t) - 16sin(-4t) + ...

= 4cos(t) + 16sin(2t) + 12cos(3t) + 16sin(4t) + ...

Clearly, dx(t)/dt ≠ -dx(-t)/dt.

Hence, dx(t)/dt is not even.

The symbol "ak" is not visible in the question.

Hence, it is assumed that ak represents Fourier series coefficients.

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The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data

STEP 2: Write the formula for calculating z-scores

By substitution,

Hence, the z score is approximately 0.44 to 2 decimal places

The given function f, with the provided set of ordered pairs, has a domain of {10, 17, 45, 51} and a range of {-6, 1, 5}.

The domain of a function refers to the set of all possible input values or x-values for which the function is defined. In this case, the given set of ordered pairs determines the domain. Looking at the x-values in the set {10, 17, 45, 51}, these are the unique inputs for which the function f is defined. Hence, the domain of f is {10, 17, 45, 51}.
On the other hand, the range of a function refers to the set of all possible output values or y-values that the function can take. By examining the y-values in the set {-6, 1, 5}, we can observe the distinct outputs generated by the function f. Thus, the range of f is {-6, 1, 5}.
In summary, the domain of the function f is {10, 17, 45, 51}, and the range of f is {-6, 1, 5}.

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The solution to the system of equations is (x, y) = (0, -9) and (2, -7).

To solve the system of equations:

\(y = x^2 - x - 9\\y - x^2 = x - 9\)

We can start by setting the two equations equal to each other since they both equal x - 9:

\(x^2 - x - 9 = x - 9\)

Next, we simplify the equation:

\(x^2 - x = x\\x^2 - x - x = 0\\x^2 - 2x = 0\)

Now, we factor out an x:

x(x - 2) = 0

From this equation, we have two possibilities:

x = 0

x - 2 = 0, which gives x = 2

Substituting these values back into the original equation, we can find the corresponding values of y:

For x = 0:

\(y = (0)^2 - (0) - 9 = -9\)

For x = 2:

\(y = (2)^2 - (2) - 9 = 4 - 2 - 9 = -7\)

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Therefore, the number of ways a student can work 7 out of 10 questions on the exam is 120, which corresponds to option (D).

The number of ways a student can work 7 out of 10 questions on an exam can be calculated using the concept of combinations.

The formula for combinations is given by:

C(n, k) = n! / (k!(n - k)!)

Where n is the total number of items and k is the number of items chosen.

In this case, the student is choosing 7 questions out of a total of 10, so we have:

C(10, 7) = 10! / (7!(10 - 7)!) = 10! / (7!3!)

Simplifying:

10! = 10 * 9 * 8 * 7!

3! = 3 * 2 * 1

C(10, 7) = (10 * 9 * 8 * 7!) / (7! * 3 * 2 * 1)

The 7! terms cancel out:

C(10, 7) = (10 * 9 * 8) / (3 * 2 * 1)

C(10, 7) = 120

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