in 1999 there were 69063 physicians specializing in family practice in the united states and its possessions the number of male physicians minus the number of female physicians in this category is 31289 how many physicians were there that specialized in family practice in the united states

Answer:

Step-by-step explanation:

Where are the answer choices?

Still, it's possible to help you without your having shared those choices.

The "difference quotient" is defined as:

 f(x + h) - f(x)

--------------------

           h

where h represents an incremental (small) change in x.

Here f(x) = 3 - log x, and so f(x + h) = 3 - log (x + h).

Therefore the difference quotient is:

{3 - log (x + h)} - {3 - log x}

-------------------------------------

                    h

This can be simplified.  In the numerator we have 3 - 3, so the numerator simplifies to -log (x + h) + log x

and the difference quotient is

-log ( x + h) + log x

---------------------------

              h

This can be rewritten as

log x - log (x + h)                                x                                  x

--------------------------- , or (1/h)*log ------------ , or  (1/h) log { ----------- }

              h                                       (x + h)                            x + h          

Answer:

B

Step-by-step explanation:

I guessed and got it right.

when two numbers have the same variable, we can add and subtract just like normal numbers.

12x + 8x = 20x - 3x = 17x

The value of expression after simplify is,

⇒ 17x

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Expression is,

⇒ 12x + 8x - 3x

Now, We can simplify the expression as;

⇒ 12x + 8x - 3x

⇒ 20x - 3x

⇒ 17x

Thus, The value of expression after simplify is,

⇒ 17x

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Answer:

20 caramel apples are covered with sprinkles

Step-by-step explanation:

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.

Let the Total fraction of caramel apples = 1

1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles

Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )

LCM of denominator = 30

= 1 - (6 + 10 + 9/30)

= 1 - 25/30

= 5/30

= 1/6

How many caramel apples are covered with sprinkles

This is calculated as :

Fraction of caramel apples covered in sprinkles × Total number of caramel apples

= 1/6 × 120

= 20 caramel apples covered in sprinkles.

Answer:

Price after first increase:

Price after second increase:

The two steps above can be combined as:

Answer:

x-intercept(s):  (-14,0)

y-intercept(s):  (0,-2)

Step-by-step explanation:

To find the x-intercept, substitute in  0 for yand solve

To find the y-intercept, substitute in  0 for x and solve for y

Answer:

153°

Step-by-step explanation:

Supplementary = 180 degrees

180 - 27 = 153 degrees

Answer:

153 degrees

Step-by-step explanation:

When two angles are supplementary, their angle measures must add up to 180 degrees. Therefore:

M+N=180

M+27=180

M=180-27=153

Hope this helps!

Answer:

The tool with 6.5% tax rate is better

Answer:

  d = 8 mm

Step-by-step explanation:

You want the length of the other diagonal of a rhombus when one of them has length 35 mm and the area of the rhombus is 140 mm².

The area of a rhombus is half the product of the lengths of the diagonals:

  A = 1/2(d1)(d2)

  140 mm² = 1/2(35 mm)(d)

  (280 mm²)/(35 mm) = d = 8 mm

The length of the missing diagonal is 8 mm.

Answer:

Your answer is D.

B and C have no solution and the soultion to A is 2

Step-by-step explanation:

I did it on a calcultor

Step-by-step explanation:

Given

2x - 5 = 7

2x = 7 + 5

2x = 12

x = 12 / 2

x = 6

Hope it will help :)❤

The function given can be classified as a function. That is option C.

Function can be defined as the expression that has both an x domain value and a y range value and it's being classified based on the quality of these values.

A function can be represented based on their roster forms.

Using the function equation given, f(X) = 10.2^2

Here, the first element is the domain or the x value and the second element is the range or the f(x) value of the function.

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Answer:

P1 - (4,2) P2 - (-2,1)

Step-by-step explanation:

You write the point as (x,y) so just put the numbers from the graph into their correct positions

Answer:

\(p_{1}(4,2)\) and \(p_{2} (-2,1)\)

Step-by-step explanation:

Latitude and longitude are broken into degrees, minutes, seconds and directions, starting with latitude. For instance, an area with coordinates marked 41° 56' 54.3732” N, 87° 39' 19.2024” W would be read as 41 degrees, 56 minutes, 54.3732 seconds north; 87 degrees, 39 minutes, 19.2024 seconds west.

Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

Answer:

The average cost of one mango = c = ₦8

Step-by-step explanation:

Let 'c' be the average cost of one mango

The original amount Idahtonye has = ₦50.00

The amount of mangoes Idahtonye buys = 6 mangoes

As he gets back the change of ₦2 after paying ₦50.00 to buy 5 mangoes.

Thus the equation becomes

50 - 2 = 6c

48 = 6c

dividing both sides by 6

48/6 = 6c/6

c = 8 ₦

Therefore, the average cost of one mango = c = ₦8

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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Answer:

Step-by-step explanation:

For example, f∘g means f(g(x)), which means we replace x with g(x) in the expression for f(x). Here are the answers to your questions:

To find the amount of water in each pool at any given time, we need to use the formula:

Amount of water = Initial amount of water + (rate of inflow × time)

Let's say we want to find the amount of water in each pool after 10 minutes. Using the formula, we get:

Amount of water in first pool = 1900 + (21.25 × 10) = 2125 liters

Amount of water in second pool = 1501 + (35.5 × 10) = 501 liters

Therefore, after 10 minutes, the first pool contains 2125 liters of water and the second pool contains 501 liters of water.

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

685200 is ten and hundred 685000 thousand 690000 ten thousand 700000 hundred thousand

To find the initial size of the culture, we set up equations using the given population counts at different time points and solve for P₀. We can then use this value to find the population at a different time point or determine the time it takes to reach a specific population count.

In a standard exponential growth model for the population of bacteria, denoted as P(t), the equation is given as P(t) = \(= P_{0}e^{(kt).\). To find the initial size of the culture (P₀), we can use the given information. At 10 minutes (t = 10), the population count was 300, so we have P(10) = 300. Plugging these values into the equation, we get \(300 = P_{0}e^{(10k).\)

Next, we are given that the population count was 1300 after 35 minutes (t = 35), so we have P(35) = 1300. Substituting these values into the exponential growth model, we get\(1300 = P_{0}e^{(35k).\)

To solve for P₀ and k, we can divide the second equation by the first equation: \(\frac{1300}{300} =P_{0}e^{(35k)}/P_{0}e^{(10k).\). Simplifying this, we get e^(25k) = (13/3).

Now, to find the population after 85 minutes (t = 85), we can use the value of P₀ and k we just found. Plugging these values into the exponential growth model, we have P(85) =\(P_{0}e^{(85k).\).

Finally, to determine the number of minutes it will take for the population to reach 13000, we need to find the value of t when P(t) = 13000. Substituting this into the exponential growth model, we have 13000 = P₀e^(kt), and we can solve for t.

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Answer:

5,004,300

Step-by-step explanation:

we need to know how many students each circle represents to calculate how many chose chicken Maybe try 4 3/4 but im not quite sure

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

24 students said veggie and there is 6 circles in the pictogram for veggie so we can divide 24 by 6 to find the value of one circle.

\(\frac{24}{6} = 4\)

Now we have the value of a circle we can figure out how many students chose chicken.

There are 4 full circles which is \(4*4 = 16\)

Finally, there is a 3/4 of a circle which is \(4*\frac{3}{4} = 3\)

Then we add all the values together to find the number of students who chose chicken.

16+3=19

Hope this helps!

Brainliest is much appreciated!

Answer:

n=5/6

Step-by-step explanation:

multiply both sides by n

get

(2/10)n =4 +5n

5n-(2/10)n=4

4.8n=4

n=5/6

Answer: the correct graph is the one that shows a horizontal segment, followed by a positive slope segment, followed by a flat segment, and then a negative slope segment that is option c.

What is graph?

In mathematics, a graph is a visual representation of a set of objects and the connections between them. The objects, which are often called vertices or nodes, are typically represented by points or circles on the graph. The connections between the objects, which are often called edges or arcs, are typically represented by lines or curves connecting the points or circles.

Here,

To represent Marie's situation in a graph, we need to plot her golf cart's distance from the first hole over time. Let's analyze the given information to determine what the graph should look like.

For the first 30 minutes, Marie stayed at the first hole, so her distance from the first hole would be 0 during that time.

For the next 2 hours, Marie drove away from the first hole. Her distance from the first hole would increase during this time.

After 2 hours of driving, Marie stopped for lunch. Her distance from the first hole would remain constant during this time.

After lunch, Marie took 2 more hours to drive back to the first hole. Her distance from the first hole would decrease during this time.

The x-axis represents time in hours, and the y-axis represents distance from the first hole in miles. The graph starts at the origin, where the golf cart stays for the first 30 minutes, and then goes up with a positive slope for 2 hours as the golf cart moves away from the first hole. Then, the graph remains flat for 1 hour during lunch, before going down with a negative slope for 2 hours as the golf cart returns to the first hole.

As a result, the right graph is option c, which displays a horizontal section followed by a positive slope segment, a flat segment, and then a negative slope segment.

Step-by-step explanation:

The median and mode for the wrong entries are 35 and 51 respectively.

What exactly is a median?

In statistics, the median is the middle value of a set of numbers arranged in order from smallest to largest. If the set has an odd number of values, the median is the middle number. If the set has an even number of values, the median is the average of the two middle numbers. The median is a measure of central tendency, and is often used as a more robust alternative to the mean, particularly when dealing with skewed data.

Now,

To find the median of the given data, we first need to arrange the data in order from smallest to largest:

2, 6, 25, 26, 34, 35, 37, 51, 51, 76, 87

There are 11 numbers in the data set, which is an odd number. To find the median, we take the middle value. In this case, the middle number is 35, so the median is:

Median = 35

To find the mode, we look for the number that appears most frequently in the data set. In this case, the number 51 appears twice, which is more than any other number. Therefore, the mode is:

Mode = 51

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i think B is the right answer

The area of the region above the x-axis and below the curve x =\(t^2\) + 7t + 8, y =\(e^(-t)\)with 0 ≤ t ≤ 1 is approximately 9.2844 square units.

To find the area of the region, we can integrate the difference between the upper and lower curves with respect to t over the given interval. In this case, the upper curve is x = \(t^2\) + 7t + 8 and the lower curve is y =\(e^(-t)\)

The integral that represents the area is given by:

A = ∫[0 to 1] (\(t^2\) + 7t + 8 - \(e^(-t)\)) dt.

Evaluating this integral will give us the area of the region. However, the integral does not have a simple closed-form solution. Therefore, we can use numerical methods or approximation techniques to find an approximate value for the area.

Using numerical integration methods, such as the trapezoidal rule or Simpson's rule, we can approximate the integral and find that the area of the region is approximately 9.2844 square units when rounded to four decimal places.

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Answer:

23.63

Step-by-step explanation:

3.4 x 6.95