This figure consists of a rectangle and semicircle.

What is the area of this figure?

Use 3.14 for π.

Enter your answer as a decimal in the box.

Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.

Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.

Number of tablets = Prescribed dose / Dosage strength per tablet

Number of tablets = 80 mg / 20 mg

Number of tablets = 4 tablets

Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.

Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.

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Answer:

\( y = 3x - 2 \)

Step-by-step explanation:

The equation of the line that passes through two points

\( (x_1, y_1) \) and \( (x_2, y_2) \) is

\( y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) \)

We have points (2, 4) and (4, 10), so we have

\( x_1 = 2 \)

\( y_1 = 4 \)

\( x_2 = 4 \)

\( y_2 = 10 \)

Now we plug in those values into the equation above, simplify, and solve for y.

\( y - 4 = \dfrac{10 - 4}{4 - 2}(x - 2) \)

\( y - 4 = \dfrac{6}{2}(x - 2) \)

\( y - 4 = 3(x - 2) \)

\( y - 4 = 3x - 6 \)

\( y = 3x - 2 \)

Answer:

i need this answer too

Answer:

The appropriate choice is the 2nd one ...

... Reflection over the y-axis followed by a translation down by 5 units.

Step-by-step explanation:

The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The sgment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.

In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.

The appropriate choice is the 2nd one ...

... Reflection over the y-axis followed by a translation down by 5 units.

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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Answer:

Slope: 7/5

Step-by-step explanation:

Slope is rise over run, so from the first dot to the second one, it rises by seven and runs by 5.

Hope this helped :)

Answer:

Step-by-step explanation:

Because 12 and 11 are not the same number it could be added it it were 11^3 and 11^4. But in this case it cannot.

Answer:

Step-by-step explanation:

please help me

Answer:

1.2 pounds of chicken per serving.

Step-by-step explanation:

4 and 4/5 of pounds of chicken for serving of 4.

We can also write this as 4.8 pounds of chicken.

To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.

\( \frac{4.8}{4} = 1.2 \: pounds \: of \: chicken\)

If this answer helped you, give this answer a heart and rate it.

Thanks!

Answer:

13=u

Step-by-step explanation:

54/4 = 13

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

(A)

Step-by-step explanation:

The survey follows of women's height a normal distribution.

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

The new height requirements would be 57.7 to 68.6 inches

The given parameters are:

\mathbf{\mu = 63.5}μ=63.5 --- mean

\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation

(a) Percentage of women between 58 and 80 inches

This means that: x = 58 and x = 80

When x = 58, the z-score is:

\mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

This gives

\mathbf{z_1= \frac{58 - 63.5}{2.5}}z

1

=

2.5

58−63.5

\mathbf{z_1= \frac{-5.5}{2.5}}z

1

=

2.5

−5.5

\mathbf{z_1= -2.2}z

1

=−2.2

When x = 80, the z-score is:

\mathbf{z_2= \frac{80 - 63.5}{2.5}}z

2

=

2.5

80−63.5

\mathbf{z_2= \frac{16.5}{2.5}}z

2

=

2.5

16.5

\mathbf{z_2= 6.6}z

2

=6.6

So, the percentage of women is:

\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z

2

)−P(z<z

1

)

Substitute known values

\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)

Using the p-value table, we have:

\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034

\mathbf{p = 0.9860948}p=0.9860948

Express as percentage

\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%

\mathbf{p = 98.60948\%}p=98.60948%

Approximate

\mathbf{p = 98.61\%}p=98.61%

This means that:

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.

(b) Change of requirement

Shortest = 1%

Tallest = 2%

If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).

So, we have:

Shortest = 1% to 98%

This means that:

The p values are: 1% to 98%

Using the z-score table

When p = 1%, z = -2.32635

When p = 98%, z = 2.05375

Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

Substitute \mathbf{z = -2.32635}z=−2.32635

\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=

2.5

x−63.5

Multiply through by 2.5

\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5

Make x the subject

\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5

\mathbf{x = 57.684125}x=57.684125

Approximate

\mathbf{x = 57.7}x=57.7

Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=

2.5

x−63.5

Multiply through by 2.5

\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5

Make x the subject

\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5

\mathbf{x= 68.634375}x=68.634375

Approximate

\mathbf{x= 68.6}x=68.6

Hence, the new height requirements would be 57.7 to 68.6 inches

Answer:

16 degrees

Step-by-step explanation:

Add 20 to -4

-4 + 20

= 16

So, the temperature at noon was 16 degrees

Answer:

16 degrees

Step-by-step explanation:

The question states that it increased +20 degrees by noon from 6:00 am. So,

-4 + 20 = 16

The temp would be 16 degrees at noon.

The value {( p ∧ q¹ )  → r¹ } is said to be a form of  expression that is  seen as a logical formula and it is then written in propositional logic made up of logical operators.

The logical operators are seen as  "and" (∧), "not" and  (→).

Note that the terms:

Therefore, the full formula {( p ∧ q¹ ) → r¹ } can then be said to be or read as "if (p and not q) is true, then not r is said to be true".

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See text below

{( p ∧ q¹ )  → r¹ }

You can determine the median of a triangle by looking out for the point that is 2/3 of the distance tht connects from the vertices, to midpoint and oposite sides.

The perpendicular bisector is determined by measuring the point that is equidistant from the segment.

The altitude of a triangle can be found by measiring the height of the triangle's extension that could be inside or outside the triangle. In obtsue triangles, this altitude is commonly found outside the triangle.

Also, the angle bisector of a triangle is the point that is equidistant from the angles sides. These descriptions can help in analyzing a trinagle.

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The length of a pendulum that makes one full swing in 1.9 seconds is 3 feet.

As per the given data, the given formula is:

\($T=2 \pi \sqrt{\left(\frac{L}{32}\right)}\) gives the time it takes in seconds.

Where,

T is the time it takes for a pendulum to make one full swing back and forth (in seconds).

L is the length of the pendulum, in feet.

Here we need to find the length of a pendulum that makes one full swing in 1.9 seconds to the nearest foot.

Substitute the given parameters into the formula will give;

\($1.9=2 \pi \sqrt{\left(\frac{L}{32}\right)}\)

Now divide both sides by 2π.

\($ \frac{1.9}{2 \pi}=\sqrt{\left(\frac{L}{32}\right)} \\\)

\($ 0.3024=\sqrt{\left(\frac{L}{32}\right)}\)

Then taking square on both sides.

\($ (0.3024)^2=\frac{L}{32} \\\)

0.09144576 = \($\frac{L}{32}\)

Later multiply both sides by 32.

2.9262 = L

The approximate value of the length of a pendulum:

L ≈ 3

Therefore, the length of a pendulum is about 3 feet.

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When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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The function that models each variation is a) y = 100/x. When x = 10: y = 100/10 = 10. b) y = -80/x. When x = 10: y = -80/10 = -8.

When one variable rises, the other one falls, and vice versa, two variables are negatively correlated. This indicates that the two variables' product has a fixed value. In other words, we may express the relationship between two inversely varying variables, x and y, as follows:

xy = k

where k is a proportionality constant. To maintain the same value of the product when one variable rises, the other must fall. Inverse variation examples include the link between the amount of time required to go a certain distance at a constant pace or the amount of workers required to finish a task in a certain amount of time.

If y varies inversely with x, we can write the relationship as:

y = k/x

a) When x = 20 and y = 5:

5 = k/20

k = 100

Substituting k we have:

y = 100/x

When x = 10:

y = 100/10 = 10

b) When x = 20 and y = -4:

-4 = k/20

k = -80

Substituting k we have:

y = -80/x

When x = 10:

y = -80/10 = -8

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The missing sides of the triangles are given below.

Length is defined as the measurement of distance of an object from one end to the other.

To find the missing sides of the given triangles.

Question 1 :

In the triangle, consider sin 90° = \(\frac{opposite side}{hypotenuse side}\)

                                               1 = \(\frac{13}{x}\)

                                              ⇒ x = 13

Which is the length of the missing side of the triangle.

Question 2:

In this triangle, consider degree 63° we have to find the  length of hypotenuse side, then,

sin 63° =\(\frac{opposite side }{hypotenuse side}\) = \(\frac{18}{x}\)

0.89 x = 18

⇒ x = 18/0.22 = 20.22.

Length of the hypotenuse side is 20.22 cm.

Question 4:

In this triangle, consider cos function.

sin 18°= \(\frac{opposite side}{hypotenuse}\) = x/11

0.3090*11 = x

x = 3.399 = 3.4 inches.

Question 5:

consider sin angle.

sin 90° = \(\frac{opposite side}{hypotenuse}\) = x/21

⇒x = 21 yard.

Question: 6

For this triangle we consider, tan functions.

tan 43° = \(\frac{opposite side}{adjacent side}\) = x/23

⇒ x =21.4 mm.

Question 7:

For this triangle , we consider sin function.

sin 33° = 9/x

⇒0.5446 *x=9/0.5446

⇒x = 16.5km

Question 8:

For this triangle we have to choose tan function,

tan67 ° = opposite side/ adjacent side

            = 17/x

⇒x = 7m

Question 9:

For this triangle, we take sin function.

sin 90°= opposite side/hypotenuse

        1   = x/19

⇒x = 19m

Question 10:

For this triangle we consider sin function,

sin 90°= 26/x

⇒x = 26 feet.

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Step-by-step explanation:

Answer:

1) True

2)False

3)True

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

The range is the difference between the highest and lowest number:

4, 5, 8, 18, 21, 43, 82

The highest number is 82 and the lowest is 4

82 - 4 = 78

The range is 78

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

Answer:

8.484

Step-by-step explanation:

Answer:

8.484

Step-by-step explanation:

Answer:

Slope= -1/2 ; y-inter = 0

Step-by-step explanation:

Answer:

23.87 should be the answer.

The expression can be used to find the area, in square units, of the Shaded triangle in the Square is  1/2 ( 4 · 4 ) .

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

where s = side length.

If a diagonal is drawn to create 2 halves, then area of each half is 8.

So, The area of a square = 1/2 ( 4 · 4 ) = 16.

If a square has a side length of 4, then the area of the square is 16.

The expression can be used to find the area, in square units, of the Shaded triangle in the Square is  1/2 ( 4 · 4 ) .

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the distance of X is 180ft