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If a 1L IV contains 60meq of kcal and the IV was discontinued after 400ml has infused, then the amount of IV received by the patient is 24meq of kcal.

Calculation for the Amount of IV

It is given that,

1L IV contains 60meq of kcal

⇒ 1000 mL of IV contains 60meq of kcal

⇒ 1 mL of IV will contain 60 / 1000 meq of kcal

As per the question,

The amount of IV infused in the patient = 400 mL

⇒ The amount of IV received by the patient in meq of kcal = 400 × (60 / 1000)

= 4 × 6

= 24 meq of kcal

Hence, the patient receives 24meq of kcal amount of IV.

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Answer:

z = 3.6

Step-by-step explanation:

Given that,

z varies directly with x and inversely with the square of y. We can write it as :

\(z\propto \dfrac{x}{y}\\\\z=\dfrac{kx}{y}\)

Where

k is constant

Put z = 16 when x = 4 and y = 1

\(16=\dfrac{k\times 4}{1}\\\\k=4\)

Now put k = 4, x = 8 and y = 9

\(z=\dfrac{4\times 8}{9}\\\\z=3.6\)

So, the value of z is equal to 3.6.

Answer:

A: \(b < \frac{3}{2}\) and the second equation is: \(b > \frac{1}{3}\)

B: \(x > \frac{1}{6}\) and the second equation is: \(x < 2\)

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Hope this helps!

Have a great day and God bless! :)

Answer: A

Step-by-step explanation:

Volume= LxWxH so we get 20x28x24 as given.

Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.

13,440-10,500= 2,940 Cubic Inches

Option A

Answer:

Part A:  13440 cubic inches.

Part B: A - 2940 cubic inches.

Step-by-step explanation:

The volume of the box = 24x20x28 = 13440 cubic inches.

The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.

13440-10500 = 2940 cubic inches. The answer is A.

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

Step 1

State the point-slope formula

Step 2

Step 3

Substitute and get the equation of a line

The required equation is y=-x+1

Answer:

D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.

Step-by-step explanation:

Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.

Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.

Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.

Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.

1 From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

2 The reason for the determination made in the previous step is A. From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

The diagonals of a parallelogram bisect each other, but this is true for all parallelograms, regardless of whether they are squares, rectangles, or rhombuses.

Therefore, the given information is not sufficient to determine whether the parallelogram is a rhombus, a rectangle, or a square.

In conclusion, from the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.

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The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

The triangle of given dimensions is isosceles and acute triangle.

Triangle is a shape with three sides and hence three angles. We know that triangles are classified according to the sides and angles. Based on angles, the classification of triangle is acute, obtuse and right triangle.

Based on sides, the classification of triangle is equilateral, isosceles and scalene triangle. Now, if the dimensions will form a triangle or not can be estimated through the formula -

side 1 + side 2> side 3

We see that 17 + 17 > 12

34 > 12

Thus, the triangle will form.

Moreover the two sides are equal hence it will be isosceles triangle. Since two sides are equal thus two angles will also be equal.

Now, if we square the sides and find their sum, it will be greater than square of third side. Hence, it is acute triangle.

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Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

Answer:

it is 18.84

Step-by-step explanation:

To display the value of a string variable on standard output, you can use the `System.out.println()` statement in Java or the `print()` statement in Python. The statement should include the name of the string variable you want to display, which is "message" in this case.

In Java, the statement would look like this:

```java
System.out.println(message);
```

In Python, the statement would look like this:

```python
print(message)
```

Both of these statements will display the value of the "message" string variable on standard output.

In the attached image we can see how this would look like in each of the applications mentioned above.

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Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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The data in the question, which includes values based on one variable can be displayed graphically using a dot plot;

Part A; A dot plot

Part B; The dot plot for the specified data can be created by plotting the data points above corresponding values on an horizontal axis

A dot plot is a form of data visualization consisting of data point values plotted as dots on a graph with a horizontal x and a vertical y-axis.

The data can be presented as follows;

{91, 101, 102, 103, 106, 110, 114, 116, 117, 117, 118, 120, 121, 121, 125}

Part A; The data include some values which repeat themselves, such that a good graphical representation to display the data is a frequency based graphical representation, such as a dot plot.

Part B; To create a dot plot, the following steps are required;

The dot plot that results from the above steps will show the distribution of points the basketball team scored during the first 15 games of the season

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Answer:

C: EAF Is the correct answer

Answer:

(x)^2+ (y+2)^2 = 49

Step-by-step explanation:

The standard form of a circle is

(x-h)^2+ (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-0)^2+ (y--2)^2 = 7^2

(x)^2+ (y+2)^2 = 49

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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95$

Step-by-step explanation:

Based on the given conditions, formulate ( 1100 - 720 ) ÷ 4

Calculate the sum or difference = 380/4

Cross out the common factor = 95

Answer:

y = 3x - 4 (the choice in the top right box)

Step-by-step explanation:

Top left choice:

Try (7, 17) with y = 2x - 1

y = 2(7) - 1

y = 14 - 1

y = 13

You have (7, 17), so you'd need y = 17, but since y = 13, the equation

y = 2x - 1 is not it.

Top right choice:

Try (7, 17) with y = 3x - 4

y = 3(7) - 4

y = 21 - 4

y = 17

You have (7, 17), and you need y = 17. Here, you did get y = 17, so this equation may be it. We need to try the other given ordered pairs with this equation.

Try (5, 11) with y = 3x - 4

y = 3(5) - 4

y = 15 - 4

y = 11

(5, 11) works.

Try (3, 5) with y = 3x - 4

y = 3(3) - 4

y = 9 - 4

y = 5

(3, 5) works.

Try (2, 2) with y = 3x - 4

y = 3(2) - 4

y = 6 - 4

y = 2

(2, 2) works.

All given points work with y = 3x  4.

Answer: y = 3x - 4 (the choice in the top right box)

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Hello! answer: 94.37

Hope this helps!

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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