Which expressions are equivalent to…

The given information is:

26.4% of all registered doctors were female

There were 59,600 female registered doctors (this is 26.4% of the total registered doctors).

Then to know what was the total number of registered doctors:

Answer: There were 225,758 total registered doctors that year.

Answer:

câu này là 500 nhen

Answer:

-12a - 16

Step-by-step explanation:

\(-3(4a+6)+2=\\-12a-18+2=\\-12a-16\)

Answer:

-12a-16

Step-by-step explanation:

This Should be correct

Answer:

600?

Step-by-step explanation:

you do 2400÷4 which would be 600 for each hour

Answer:

83.6 pounds

Step-by-step explanation:

1 kg = 2.2 pounds

38 x 2 = 76

.2 x 38 = 7.6

76 + 7.6 is 83.6

Answer:

83.6 pounds

Step-by-step explanation:

1 kg = 2.2 pounds

38 x 2 = 76

.2 x 38 = 7.6

76 + 7.6 is 83.6

Answer:

x=4

Step-by-step explanation:

First subtract by doing 64 minus 36. You are left with 28, divide by 7 and your answer is 4.

Answer: X = 4

Step-by-step explanation:

7x+36=64

7x+36−36=64−36

7x=28

Divide both sides by 7.

7x

7 =

28

7

x=4

HOPE THIS HELPS!!!!!! : )

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

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Answer:

Step-by-step explanation:

10 divided by 2.77 is

3.61010830325.

rounded up is 4 pounds?

Answer:

3

Step-by-step explanation:

If you divide 10 divided by 2.77 you get 3.610108303 but you don't need all the decimals so instead you will just get rid of the decimals in this scenario (not in all) and if you double check yourself by doing 2.77 x 3 you will get 8.31 and thats all you can do because 2.77 x 4 is 11.08 but you have a budget of $10.00 so your answer is:

You can get 3 pounds of blueberries with $10

The solution set of f(x) > 0 is x ∈ (-2, 8).

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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Answer:

11

Step-by-step explanation:

add 9 and 2 together

9+2=11

Answer:

{-5, -1, 2}

Step-by-step explanation:

domain is the inputs or x numbers

Answer:

18 students for each teacher and 10 for each tutor, and if the academy had 80 students it would have 8 tutors

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

\(x=-3 \\\\x^{-2}= 3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9} \\\\x^{-1}= 3^{-1}=\dfrac{1}{3^1}=\dfrac{1}{3} \\\\x^0=3^0=1 \\\\x^1=3^1=3 \\\\x^2=3^2=9\)

Hope this helps!

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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Answer:

40

Step-by-step explanation:

Answer: The total amount Jennifer will owe to the bank on January 31st is $3,458.75

Step-by-step explanation: In September, Jennifer Rick went to Park Bank to borrow $2,500 at 11.75% interest for 4 months. As this loan is a simple interest loan calculated monthly, we need to calculate the total amount she will owe to the bank on January 31st.

We use the formula for simple interest which is:

Interest = Principal x Interest rate x Time

Interest = $2,500 x 11.75/100 x 4/12 = $958.75 (rounding to the nearest cent)

Now we can add the interest to the principal amount to get the total amount that Jennifer will owe to the bank on January 31st.

Total amount = Principal + Interest

Total amount = $2,500 + $958.75 = $3,458.75 (rounding to the nearest cent)

So, the total amount Jennifer will owe to the bank on January 31st is $3,458.75

Answer: 3; 3; 5; 8; 13; 21; 34; 55.

Try this option:

Step-by-step explanation:

the sum of the previous terms is the next term:3+5=8; 5+8=13; 8+13=21, then

13+21=34 and 21+34=55.

Answer:

\( y = \frac{1}{4}x + 1 \)

Step-by-step explanation:

Line is passing through the points (0, 1) & (4, 2)

Slope of line = (2 - 1)/(4 - 0) = 1/4

y-intercept (b) = 1

Equation of line in slope-intercept form is given as:

\(y = mx + b \\ \\ y = \frac{1}{4}x + 1 \)

Answer:

\(y = \frac{1}{4}x + 1\)

Step-by-step explanation:

Slope intercept form allows one to write an equation for a line from only the y-intercept and the slope, so we need to identify those two things.

The slope is simply \(\frac{y_2 - y_1}{x_2-x_1}\)=>\(\frac{2-1}{4-0}\)=> 1/4

The slope intercept is the y value when x = 0, and since we have the point (0,1), the y-intercept must be 1

The equation is: y = mx + b where m is the slope and b is the intercept so the final equation is:

\(y = \frac{1}{4}x + 1\)

Answer:

BTW I'm not sure, sorry.

Step-by-step explanation:

TL = 53.

HT is hypotenuse

53²+53²=HT²

HT=2809

When value of x is given as 3 then according to the said proportional relationship y will be  13.15.

We are given that y and x have a proportional relationship, and y = 9 when x = 2. This means that there is a constant of proportionality, k, such that y = kx.

We can use the information given to find the value of k:

y = kx

9 = k(2)

k = 9/2

Now that we know the value of k, we can use it to find the value of y when x = 3:

y = kx

y = (9/2) * 3

y = 13.5

So the value of y when x = 3 is 13.5

A ratio is a way of comparing two or more values or quantities. It is a mathematical expression that shows the relationship between different values, typically by using the symbol ":" to separate the values. For example, if we have three apples and two oranges, we can express the relationship between the apples and oranges as a ratio 3:2. Ratios can also be written as fractions, in this case the ratio 3:2 can be written as 3/2.

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Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Answer:

3x - 20 = y

Step-by-step explanation:

Answer:

Easy

Step-by-step explanation:

Just multiply 3×20 and you'll get your answer

For the function f(x) = x + 2, the value of x when f(x) = 1, gives x = -1

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Given that:

f(x) = x + 2

When f(x) = 1, substituting:

1 = x + 2

x = -1

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Answer:

\( \boxed{\sf x \degree = 62 \degree} \)

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

\( \sf \implies x \degree + 38 \degree = 100 \degree \\ \\ \sf \implies x \degree + (38 \degree - 38 \degree) = 100 \degree - 38 \degree \\ \\ \sf \implies x \degree = 100 \degree - 38 \degree \\ \\ \sf \implies x \degree = 62 \degree\)

In the given figure, the value of x is 62°.

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

The given angles are,

x°, 38° and 100°.

To find the value of angle x, use exterior angle property.

According to exterior angle property,

The  sum of two interior angles is equal to exterior angle.

Since, 100° is the exterior angle of x and 38.

x + 38 = 100

x = 100 - 38

x = 62.

The required value of angle x is 62°.

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Answer:

Part A: The maximum of the graph is the highest point which is at (2.5, 2531.25). Since xx is the decrease in price and yy is the profit, the maximum of (2.5, 2531.25) means that the maximum profit is $2531.25 and occurs when the price of the t-shirts is decreased by $2.50.

Part B: The yy-intercept is when the graph intersects the yy-axis which occurs at about (0, 2500). The yy-intercept then means that the profit is $2500 if the price of the t-shirts does not decrease.

Part C: The solution of a graph is its xx-intercept(s). The graph crosses the xx-axis at (25,0) so this point is the solution. The solution means that the profit will be $0 if the price is decreased by $25.

Step-by-step explanation:

The set that would contain the subset E = {1, 3, 5, 7} is set D. This is because set D contains all odd integers, and E is a subset of the odd integers.

In mathematics, a set is a collection of distinct objects, called elements, that are considered a single entity. Sets can be composed of any kind of object, such as numbers, letters, symbols, or other sets. Sets are denoted by enclosing their elements in curly braces {}, separated by commas, and listing the elements in any order.

In mathematics, a subset is a set that contains only elements that also belong to another set, called the superset. In other words, all the elements of a subset are also elements of the superset.

According to the given information

Assuming 0 is an even integer, the complement of set B is:

B' = {x | x ∈ U and x is not an even integer}

In other words, the complement of B contains all integers that are not even, which includes odd integers and zero.

The empty set is a set with no elements. In this case, none of the sets A, B, C, or D is empty, since they all contain elements.

The set that would contain the subset E = {1, 3, 5, 7} is set D. This is because set D contains all odd integers, and E is a subset of the odd integers.

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Answer:

Answers are D, C, D

Step-by-step explanation:

Answer:

A A A B B B C C C  

Step-by-step explanation:

We have the Greedy algorithm, the solution at any time is considered an optimal algorithm.

In our case the sequence is x x x y y y z z z

In addition to the Greedy algorithm, the first advertiser chooses their choice without considering the minimum methods.

Now we must consider the worst case of greedy algorithm so we must suppose that it starts from advertiser C, then B and followed by A.

Therefore the worst option would come being:

C C C B B B, in addition that A cannot bid for any query.

Which means that the sequence of the balanced algorithm will be A A A B B B C C C

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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The reference angles of -320 is 40 degrees and the reference angle of 19π/12 is 5π/12

From the question, we have the following parameters that can be used in our computation:

Angle = -320

The reference angle is caculated as

Reference = 360 + Angle

So, we have

Reference = 360 - 320

Evaluate

Reference = 40

For the other angle, we have

θ = 19π/12

The above angle is in the fourth quadrant

So, we subtract it from 2π to calculate the reference angle

Using the above as a guide, we have the following:

Reference angle = 2π - 19π/12

Evaluate the difference

Reference angle = 5π/12

Hence, the reference angle is 5π/12

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