mrs. stevens is an inpatient in your hospital. her prescriber just ordered hydroxyzine 10 mg every 8 hours. how many tablets of hydroxyzine 10 mg will you put in mrs. stevens' med cart drawer for a 24-hour fill?

Answer:4x + 3x + 2x - 4 - 3

Step-by-step explanation:Hope this helps

Answer:

To calculate the slope of the line that passes through the points (1, 2) and (-3, 5), we use the slope formula:

m = (Y2 - Y1) / (X2 - X1)

where (X1, Y1) = (1, 2) and (X2, Y2) = (-3, 5).

Substituting the values into the formula, we get:

m = (5 - 2) / (-3 - 1)

m = 3 / (-4)

Simplifying the fraction by dividing both the numerator and denominator by their greatest common factor of 1, we get:

m = -3/4

Therefore, the slope of the line in simplest form is -3/4.

Step-by-step explanation:

5x-2(x+1)=10

5x-2x+2=10

3x+2=10

3x=10-2

3x=8

8/3

2.7 if you do round it

2.666666667 before you do

x=2.7

(I think it's right Because I've already been taught this if not just tell me.)

It will take 7.5 years for the population to triple, and 10 years for the population to quadruple.

The population of a community is known to increase at a rate proportional to the number of people present at time t. This means that the rate of increase is directly proportional to the population.

If an initial population of p0 has doubled in 5 years, we can calculate how long it will take to triple or quadruple the population.

To triple the population, we use the equation: t = (5 years x 3) / 2, where t is the amount of time it takes for the population to triple. This gives us t = 7.5 years.

To quadruple the population, we use the equation: t = (5 years x 4) / 2, giving us t = 10 years.

In summary, it will take 7.5 years for the population to triple, and 10 years for the population to quadruple.

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The series, based on the general terms, can be found to be arithmetic. The indicated sum is - 544.

To determine if the series is arithmetic or geometric, we must first find the common difference (arithmetic) or common ratio (geometric).

Term 1 (p=1): 19 - 2(1) = 17

Term 2 (p=2): 19 - 2(2) = 15

Term 3 (p=3): 19 - 2(3) = 13

There is a common difference of -2 so this is arithmetic.

The formula for the sum of an arithmetic series is:

Sum = (n x (a1 + an)) / 2

The series is: ∑ (p = 1 to 34) (19 - 2p)

To find the last term, we plug in p = 34:

an = 19 - 2(34)

= 19 - 68

= -49

The sum is therefore:

Sum = (34 x (17 + (-49))) / 2

Sum = -544

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Answer:

Step-by-step explanation:

he's rich

Xavier will have $1278 left over from his paycheck after spending 20% on a new mattress and 29% on fixing a leak.

To find out how much will be left over from Xavier's paycheck after he spends 20% on a new mattress and 29% on fixing a leak, we can follow these steps:

Therefore, Xavier will have $1278 left over from his paycheck.

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Yet because we can compare the set of positive rational numbers exactly to the collection of natural numerals, we may infer that the set of positive rational must have a number of clusters of 0, or n(Q+)=0. Due to the fact that these two numbers must equal one another, 02 = 0.

Since they may be arranged in a one-to-one correspondence with the natural numbers (the integers, such as 1, 2, and 3), Cantor showed in 1873 that the rational numbers, although being infinite, are countable (or denumerable).

How are the rational numbers counted as a group?

To achieve this, we take into account the this double integers grid upon that positive orthogonal. If p and q are positive natural numbers, then p/q may be used to represent any positive valid value.

Simply put, we establish the following values: h(0) = 0, h(2n) = f(n), for all natural numbers n > 0, and h(2n-1) = g(n) = -f(n), for all natural numbers n > 0.

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The surface area of the rectangular solid with length 5 inches, width 2 inches, and height 4 inches is 76 sq inch. The answer is D.

What is surface area of rectangular solid ?

The surface area of a rectangular solid (also known as a rectangular prism) is the total area of all its faces. It can be calculated using the formula:

SA = 2lw + 2lh + 2wh

where l is the length of the rectangular solid, w is its width, and h is its height.

The rectangular solid has six faces: a top face, a bottom face, a front face, a back face, a left side face, and a right side face. The formula above accounts for the area of each of these faces.

According to the question:
The formula for the surface area of a rectangular solid is:

SA = 2lw + 2lh + 2wh

We are given that the length (l) of the solid is 5 inches, the width (w) is 2 inches, and the height (h) is 4 inches. Substituting these values into the formula, we get:

SA = 2(5)(2) + 2(5)(4) + 2(2)(4)

= 20 + 40 + 16

= 76 square inches

Therefore, the surface area of the rectangular solid with length 5 inches, width 2 inches, and height 4 inches is 76 square inches. The answer is D.

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Andace needs to score at least 98 on her fifth exam to have an average of 90 or better for the five exams.

To find out what score Andace needs to get on the fifth exam, we can use the formula for the average (also known as the mean):

Average = (sum of all scores) / (number of scores)

We know that Andace needs an average of 90 or better for the five exams. Therefore, the sum of all five scores must be at least 450 (90 multiplied by 5).

The sum of Andace's first four scores is:

96 + 84 + 95 + 82 = 357

To get an average of 90 or better for the five exams, Andace needs to get a total of:

450 - 357 = 93

on her fifth exam.

Since she has already taken four exams and the maximum score she can get on her fifth exam is 100, we can subtract her first four scores from 93 to find out what she needs to score on her fifth exam:

93 - 96 - 84 - 95 - 82 = -164

Since it's not possible for Andace to score a negative number on her fifth exam, we can conclude that she needs to score at least 98 (93 - 5) to have an average of 90 or better for the five exams.

In conclusion, Andace needs to score at least 98 on her fifth exam to have an average of 90 or better for all five exams.


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The value of f(4) using recursive formula f(1) = 10 and f(n) = f(n-1) + 4 for n ≥ 2  is 22

Given that f(1) = 10 and f(n) = f(n-1) + 4 for n ≥ 2.

To find the value of f(4), we can use the recursive formula to work our way up from f(1) to f(4):

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

f(2) = f(1) + 4 = 10 + 4 = 14

Next, we have

f(3) = f(2) + 4 = 14 + 4 = 18

Next, we have

f(4) = f(3) + 4 = 18 + 4 = 22

Therefore, the value of f(4) is 22.

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Answer:

1.5 or about 1 or 2 maybe

hope this helpd

The smallest value of x in the Poisson distribution is 0, which means that no cars can pass through the intersection in a given minute.

For explain further, a Poisson distribution is a statistical model that describes the probability of a given number of events occurring in a fixed period of time, such as cars passing through an intersection in a minute.

In a Poisson distribution, the probability of x events occurring in a given minute is given by the equation P(x) = e-λλx/x!, where λ is the average number of events in a given minute. In this case, λ would be the average number of cars that pass through the intersection per minute.

The probability of 0 cars passing through the intersection in a given minute is e-λλ0/0! = 1, which is the highest probability in the distribution. Therefore, the smallest value of x in a Poisson distribution is 0.

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Using graphs,

The ordered pair, (6,15) represents here the cost of 6 pounds of noodles that is $15.

A structured representation of the data is all that the graph is. It assists us in comprehending the info. Data are the numerical details gathered by observation. Data is a derivative of the Latin term datum, which means "something provided."

Data is continuously gathered through observation once a research question has been formulated. After that, it is arranged, condensed, and categorised before being graphically portrayed.

Here in the question,

As we can see that the graph is a relation between the number of noodles in pounds and the cost of noodles in dollars has been given and compared.

So, as per the question,

The ordered pair that represents here the cost of 6 pounds of noodles is (6,15).

As, from the graph:

When noodles in pounds is 6, cost in dollars is 15.

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The complete question is:

the points on the graph show how much chee pays for different amounts of noodles, complete the statement about the graph

Figure E is a rotated and reflected version of Figure D that has been shifted to the right and up as a result of this transformation sequence.

The sequence transformation (which may be dependent on n). This is known as a linear sequence transformation. Nonlinear sequence transformations are nonlinear sequence transformations.

We can use the following transformations to map Figure D onto Figure E:

Figure D should be translated 4 units to the right and 1 unit up.

Figure D should be rotated 90 degrees clockwise around the origin.

Cross the y-axis with the resulting figure.

This transformation sequence results in Figure E, which is a rotated and reflected version of Figure D that has been shifted to the right and up.

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The area of given polygon is 44 square units from the given graph.

What is Polygon ?

A polygon is a 2-dimensional geometric shape that is formed by joining a finite number of straight line segments to form a closed shape.

The area of each triangle can be found by using the formula:

Area = (base * height)/2

Triangle 1: Base = 4 units, Height = 5 units

Area of Triangle 1 = (4*5)/2 = 10 square units

Triangle 2: Base = 8 units, Height = 3 units

Area of Triangle 2 = (8*3)/2 = 12 square units

The area of the trapezoid can be found by using the formula:

Area = (Sum of parallel sides * Height)/2

Trapezoid: Height = 4 units, Parallel side 1 = 3 units, Parallel side 2 = 7 units

Area of Trapezoid = ((3+7)*4)/2 = 20 square units

Therefore, the total area of the polygon is:

Total Area = Area of Triangle 1 + Area of Triangle 2 + Area of Trapezoid

Total Area = 10 + 14 + 20 = 44 square units

Hence, The area of given polygon is 44 square units from the given graph.

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13.33 hrs long would it take juan to do the same job alone.

Here, we have,

given that,

carlos and juan take 5 hours to do a job.

carlos alone takes 8 hours to do the same job.

let, x hr long would it take juan to do the same job alone.

now, we have,

1 hr work of carlos = 1/8

1 hr work of juan = 1/x

1 hr work of both = 1/8 + 1/x = (x+8)/8x

we have,

So they together can do this job in = 5 hours

so, ATQ, we get,

(x+8)/8x = 1/5

or, (5x+40) = 8x

or, 3x = 40

or. x = 13.33

Hence, 13.33 hrs long would it take juan to do the same job alone.

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A tangent line is a straight line that intersects a circle at only one point, and it is perpendicular to the radius that goes through that point.

Tangent lines are important because they help us determine the relationship between circles and other geometric shapes.
To find the tangent line to a circle, we need to first identify the point of intersection between the circle and the line.
A tangent line to a circle is a line that intersects the circle at exactly one point, called the point of tangency. The tangent line is perpendicular to the radius that intersects the point of tangency.

m = [tex]\frac{-1}{r}[/tex]

where m is the slope of the tangent line, and r is the radius of the circle.

The equation of a tangent line to a circle can be found using the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) is the point of tangency and m is the slope of the tangent line.

The length of the tangent segment from the point of tangency to the point of intersection with a secant line can be found using the formula:

[tex]t^2[/tex] = s1 * s2

where t is the length of the tangent segment, and s1 and s2 are the lengths of the two segments of the secant line that intersect the circle.
In terms of calculating the tangent line, we can use the point-slope formula.

Let's say we have a circle with equation [tex]x^2[/tex] + [tex]y^2[/tex] = [tex]r^2[/tex] and we want to find the tangent line at the point (a,b).

We can start by taking the derivative of the equation with respect to x, which gives us 2x + 2yy' = 0.

Solving for y', we get y' = -x/y.

Then, we substitute the values of x and y at the point of intersection (a,b) to get the slope of the radius at that point.

Finally, we take the negative reciprocal of that slope to get the slope of the tangent line, and use the point-slope formula to find the equation of the tangent line.
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three and seven tenths times five

Answer:

To determine if Daniel should have filled out his W-4 form differently to receive a refund, we need to compare his tax liability with the total amount withheld from his paychecks for the year.

If Daniel's tax liability for the year is less than $3,900, he will receive a refund when he files his taxes. If his tax liability is more than $3,900, he will owe additional taxes when he files his taxes.

If Daniel's tax liability is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes.

Therefore, to determine if Daniel should have filled out his W-4 form differently, we need to compare his tax liability with $3,900.

If Daniel's tax liability from part B, question 3, is less than $3,900, he will receive a refund when he files his taxes, as the total amount withheld from his paychecks is more than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to reduce the amount withheld from his paychecks and increase his take-home pay.

On the other hand, if Daniel's tax liability from part B, question 3, is more than $3,900, he will owe additional taxes when he files his taxes, as the total amount withheld from his paychecks is less than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to increase the amount withheld from his paychecks and reduce the amount he will owe when he files his taxes.

If Daniel's tax liability from part B, question 3, is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes, and his W-4 form is correctly filled out for his tax situation.

In summary, whether or not Daniel should have filled out his W-4 form differently to receive a refund depends on his tax liability compared to the total amount withheld from his paychecks. If his tax liability is less than the total amount withheld, he may want to reduce the amount withheld to increase his take-home pay. If his tax liability is more than the total amount withheld, he may want to increase the amount withheld to reduce the amount he will owe when he files his taxes. If his tax liability is exactly equal to the total amount withheld, his W-4 form is correctly filled out for his tax situation.

Answer: x= 71

Step-by-step explanation:

Since each triangle has a sun of all the angles to equal 180, we can figure what is X.

The number of feet away is the base of the ladder from the end of the slide, g, as shown is 3 ft.

The base of the ladder from the end of the slide forms a right triangle.

Hypotenuse² = opposite² + adjacent²

Hypotenuse = 5 ft

Opposite = 4 ft

Adjacent = g

So,

Hypotenuse² = opposite² + adjacent²

5² = 4² + g²

25 = 16 + g²

subtract 16 from both sides

25 - 16 = g²

9 = g²

find the square root of both sides

√9 = g

g = 3 ft

In conclusion, the base of the ladder is 3 ft away from the end of the slide.

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There was 88% increase in maintenance and repair costs from the first year to the second year. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four fundamental operations, often referred to as "arithmetic operations", are thought to be able to properly represent all real numbers. The mathematical operations quotient, product, sum, and difference come after division, multiplication, addition, and subtraction.

We are given that during the first year she owned her car, Barbara spent $732 on repairs and maintenance and she  spent $1,377 the second year she owned the car.

So, the more amount she spent in the second year is obtained using subtraction operation which gives:

⇒ $1,377 - $732

⇒ $645

Now, the percentage increase is

⇒ $645 ÷ 7.32

⇒ 88.11%

Hence, there was 88% increase in maintenance and repair costs from the first year to the second year.

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The values for the variables x and y in the parallelogram are equal to 10 and 17 respectively.

The parallelogram OPSR have two pairs of parallel sides hence OP = RS and PS = OR.

We shall evaluate for variables x and y as follows:

2x - 1 = x + 9

2x - x = 9 + 1 {collect like terms}

x = 10

y = x + 7

y = 10 + 7 {substituting 10 for x}

y = 17

Therefore, the values for the variable x and y in the parallelogram are equal to 10 and 17 respectively.

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Since Latasha looked at 3 websites every 15 hours, at that rate, it will take Latasha 25 hours to look at 5 websites.

The unit rate shows the ratio between two values.

The unit rate is the quotient of two numbers, computed using the division and multiplication operations.

The number of websites Latasha looked in 15 hours = 3

The time it will take Latasha to look at 5 websites = 25 (15/3 x 5)

Thus, based on the rate, we can conclude that Latasha uses 5 hours to look at one website.

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Answer:

13/5

Step-by-step explanation:

2*5=10

3+10=13

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathtt{2\dfrac{3}{5}}\\\\\mathtt{= \dfrac{2\times5 + 3}{5}}\\\\\mathtt{= \dfrac{10 + 3}{5}}\\\\\mathtt{= \dfrac{13}{5}}\\\\\\\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathtt{\dfrac{13}{5}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The two solutions to the equation (2x - 3)(3x + 5) = 0 when solved are x = 3/2 and x = -5/3

Given that, we have the following equation

(2x - 3)(3x + 5) = 0

The above equation means that

2x - 3 = 0 and 3x + 5 = 0

When the equations are evaluated, the equations becoms

2x = 3 and 3x = -5

Lastly, we divide both sides of the equation by the coefficent of x i.e 2 and 3

So, we have

x = 3/2 and x = -5/3

So, the values of the solutions to the equation are x = 3/2 and x = -5/3

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Answer:

9/14

Step-by-step explanation:

add them

After solving the equations we know that the price of each blouse and each skirt is $25 and $30 respectively.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, the cost of each blouse and skirt:

x be the price of one blouse and y is the price of one skirt.

For a total of $215, Carol purchased 3 skirts and 5 blouses.

5x + 3y = 215

For a total of $135, Ellen purchased 2 skirts and 3 blouses.

3x + 2y = 135

By resolving the equations in the system:

5x + 3y = 215

3x + 2y = 135

We will obtain:
x = $25

y = $30

Therefore, after solving the equations we know that the price of each blouse and each skirt is $25 and $30 respectively.

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Correct question:

Carol bought 5 blouses and 3 skirts for a total of $215. At the same time, her sister Ellen bought 3 blouses and 2 skirts for a total of $135. What was the price of each blouse and each skirt?