Nancy is a nurse. She needs to measure and administer the correct dose of medicine to
her patients. 135 mg of medicine must be dissolved into 300 ml, of water. If the patient
requires a dose of 500 mg of medicine, how much water is needed?
Round to the nearest milliliter.

I don’t understand it, someone help me please.

Answer:

Step-by-step explanation:

2x-1+7x=175c

9x-1=175c

9x=175c+1

x=175/9c +1/9 ,C

Answer:

a. 85974 m²

b. 17,194,800 AED

c. 18,450 AED

Step-by-step explanation:

The sides of the quadrilateral are given as follows;

AB = 192 m

BC = 576 m

CD = 228 m

DA = 480 m

Length of a diagonal AC = 672 m

a. We note that the area of the quadrilateral consists of the area of the two triangles (ΔABC and ΔACD) formed on opposite sides of the diagonal

The semi-perimeter, s₁,  of ΔABC is found as follows;

s₁ = (AB + BC + AC)/2 = (192 + 576 + 672)/2 = 1440/2 = 720

The area, A₁, of ΔABC is given as follows;

\(Area\, of \, \Delta ABC = \sqrt{s_1\cdot (s_1 - AB)\cdot (s_1-BC)\cdot (s_1 - AC)}\)

\(Area\, of \, \Delta ABC = \sqrt{720 \times (720 - 192)\times (720-576)\times (720 - 672)}\)

\(Area\, of \, \Delta ABC = \sqrt{720 \times 528 \times 144 \times 48}\) = 6912·√(55) m²

Similarly, area, A₂, of ΔACD is given as follows;

\(Area\, of \, \Delta ACD= \sqrt{s_2\cdot (s_2 - AC)\cdot (s_2-CD)\cdot (s_2 - DA)}\)

The semi-perimeter, s₂,  of ΔABC is found as follows;

s₂ = (AC + CD + D)/2 = (672 + 228 + 480)/2 = 690 m

We therefore have;

\(Area\, of \, \Delta ACD = \sqrt{690 \times (690 - 672)\times (690 -228)\times (690 - 480)}\)

\(Area\, of \, \Delta ACD = \sqrt{690 \times 18\times 462\times 210} = \sqrt{1204988400} = 1260\cdot \sqrt{759} \ m^2\)

Therefore, the area of the quadrilateral ABCD = A₁ + A₂ = 6912×√(55) + 1260·√(759) = 85973.71 m² ≈ 85974 m² to the nearest meter square

b. Whereby the cost of 1 meter square land = 200 AED, we have;

Total cost of the land = 200 × 85974 = 17,194,800 AED

c. Whereby the cost of fencing 1 m = 12.50 AED, we have;

Total perimeter of the land = 576 + 192 + 480 + 228 = 1,476 m

The total cost of the fencing the land = 12.5 × 1476 = 18,450 AED

The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.

The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.

The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:

∂f/∂x = 8/z

∂f/∂y = 5/z

∂f/∂z = -(8x + 5y)/z^2

Evaluated at the point (5, 6, -1), we have:

∂f/∂x = 8/(-1) = -8

∂f/∂y = 5/(-1) = -5

∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46

So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).

The maximum rate of change of f at this point is given by the magnitude of the gradient vector:

|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.

Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.

To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:

Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).

Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

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Answer:

4x²y* (-6xy²)= -24x³y³

Answer:

11 weeks

Step-by-step explanation:

Kiaya has $376 but can only withdraw $276 before being charged by the bank.

First I subtracted the $100 she can't spend from $376.

-She has a total of $276 she can spend without being charged.

Next, I divided $276 by $25 (the amount she withdraws every week)

- The total is 11.04

This means she has 11 Weeks before she will have to pay the fee.

Hope I helped you out!! :)

There are 380 ways to determine the first and second place in the race.

In a race, there are 20 runners. Trophies for the race are awarded to the runners finishing in first and second place. In how many ways can first and second place be determined?When the trophies for the race are awarded to the runners finishing in first and second place, then it means that there are only two trophies to be awarded. Now, the number of ways in which the two trophies can be awarded can be calculated by permutation, which is a way of counting the arrangements or selections of objects in which order is important.

To determine the number of ways first and second place can be determined in a race with 20 runners, we can use the concept of permutations.

The first-place finisher can be any one of the 20 runners. After the first-place finisher is determined, there are 19 remaining runners who can finish in second place. Therefore, the number of ways to determine the first and second place is given by:

Number of ways = 20 * 19 = 380

So, there are 380 ways to determine the first and second place in the race.

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Given:

Where the Mean (μ ) and Standard Deviation (σ) for a Normal Distribution, you need to find:

Where "X" is the number of hours worked per worker.

In order to calculate that probability, you should approximate to a Standard Normal Distribution. Therefore, you need to find z-statistic:

The value of "X" you must use is:

Then, substituting values and evaluating, you get:

Therefore, now you need to find:

Now you need to use the Standard Normal Distribution Table in order to find the value of the probability. Then, you get:

Hence, the answer is:

The length of the segment WY is 6.81 units

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

Similar triangles

Because the triangles are similar. sp we have the following ratio

9/7 = 8.75/WY

Make WY the subject

So, we have

WY = 7 * 8.75/9

Evaluate

WY = 6.81

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Answer:

I think it is A.

Step-by-step explanation:

The expression that represent the area of the cabin for rectangular floor plan is 2w² + 5w.

What is the area of rectangular shape?

In essence, the area of a rectangle is equal to the sum of its length and breadth. In contrast, the circumference of a rectangle is equal to the product of its four sides. Consequently, we can say that the area of a rectangle equals the space enclosed by its perimeter.

Given that the length of a cabin is equal to 5 feet more than twice the width.

Assume that the width of the cabin be w.

Then the mathematical expression of twice the width is 2w.

Then the mathematical expression of 5 feet more than twice the width is 2w + 5.The length of the cabin is 2w + 5 feet.

The area of rectangular shape is product of length and width.

The area of the cabin is (2w + 5)w

Apply distributive property:

= 2w × w + 5 × w

= 2w² + 5w

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Answer:

\(\{8,-8\}\)

Step-by-step explanation:

\(~~~-|x| = -8\\\\\implies |x| = \dfrac{-8}{-1}\\\\\implies |x| = 8\\\\\implies x = \pm 8\\\\\text{Hence, the solution set is}~ \{8,-8\}\)

Answer:

(x/-5) - 9 = 2

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

Six pairs of congruent angles are:

To name six pairs of congruent angles:

Given: BCDE ≅ RSTU

Then,

Now, connect diagonals BD and RT.

So,

Therefore,  six pairs of congruent angles are:

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Answer:

x=−1,y=13

Step-by-step explanation:

Answer:

x = -1 and y = 13 Please Mark Brainliest

Step-by-step explanation:

Answer:

4 and 2 are the modes I hope this helps u :))

Step-by-step explanation:

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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Answer:

d

Step-by-step explanation:

A segment joining the midpoints of a triangle is

• Parallel to the third side

• Half the length of the third side

The segment DF joins the midpoints of 2 sides of Δ ABC , then

BC = 2 × DF = 2 × 4 = 8

Answer: 160lbs

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

yevdywjebecgeh3bebebv3hruejjd÷×+jfur

Demographics variables include the characteristics of a population, similar as age, gender, race, education, income, occupation, and geographic position.

 Demographic shifts can have a conspicuous impact on the request in the coming 10 times. One of the significant demographic shifts is the growing population.

The growing population will have a conspicuous impact on the healthcare request as they need further medical care as they progress.

The growing population also has an impact on the casing request as they're looking to reduce or move to withdrawal communities. Another demographic shift that will have a conspicuous impact on the request is the increase in diversity in the population.

The increase in diversity will impact the food and libation request as different societies have different salutary requirements and preferences. It'll also impact the marketing fashion request as different societies have different fashion styles and preferences.

An illustration of a folklore is the LGBTQ community. The unique marketing aspect of this folklore is the need for addition and acceptance. Companies can reach out to this folklore by featuring LGBTQ individualities in their announcements. An illustration of this is the recent Coca- Cola announcement featuring a same- coitus couple.

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The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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Answer:

La densidad del líquido desconocido es de aproximadamente 0,6855 g/ml.

Step-by-step explanation:

Los parámetros dados son;

La masa del recipiente vacío = 38,52 g

La masa total del recipiente cuando está lleno de agua = 137,26 g

La masa total del recipiente cuando se llena con el líquido desconocido = 106.21 g

Por lo tanto;

La masa del agua = La masa total del recipiente cuando está lleno de agua - La masa del recipiente vacío

La masa del agua = 137,26 g - 38,52 g = 98,74 g

La masa del líquido desconocido = 106,21 g - 38,52 g = 67,69 g

La gravedad específica del líquido desconocido = (La densidad de la sustancia desconocida) / (La densidad del agua)

De lo que tenemos;

La gravedad específica del líquido desconocido = (La masa del líquido desconocido) / (La masa de un volumen igual de agua)

∴ La gravedad específica del líquido desconocido = (67,69 g) / (98,74 g) ≈ 0,6855

De la ecuación, gravedad específica = (La densidad del líquido desconocido) / (La densidad del agua) y la densidad del agua = 1 g / ml, tenemos;

gravedad específica ≈ 0.6855 = (La densidad del líquido desconocido) / (1 g / ml)

La densidad del líquido desconocido ≈ 0.6855 × 1 g / ml ≈ 0.6855 g / ml

La densidad del líquido desconocido ≈ 0,6855 g / ml.

According to survey data, approximately 90% of recruiters review the social profile of a candidate for a job.

This means that the majority of recruiters, about 90%, look at the social media accounts of potential candidates.

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Answer:

7,854,000

because the 308 people would have to be at least 500 to round up to 7,855,000

Answer:

34 39/50 or 1739/50 as improper fraction

Step-by-step explanation:

34 is the whole number, and you have .78 left over

.78 is equal to 78/100

when simplified, 78/100 becomes 39/50

Answer is 34 39/50

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The theater that is expected to have the smallest standard deviation for the variable time-spent-waiting-in-line is, "theater C because it has the most values close to the mean".

Standard deviation measures how much the data deviates from the mean, so a smaller standard deviation indicates that the data points are more closely clustered around the mean. Theater C has the most values clustered around the mean, as evidenced by the peak in the histogram and the fact that the mean and median are very close together.

This suggests that there is less variability in the time-spent-waiting-in-line at theater C compared to the other theaters. The other theaters have wider ranges, more extreme values, and more variability, which can lead to larger standard deviations. Therefore, theater C is expected to have the smallest standard deviation

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As a Senior Surveyor planning a Side Scan operation in search of an object in 200 meters of water, there are several important factors to consider. Here are the key considerations that should be communicated to the officer-in-charge of the boat:

1. Object characteristics: Gather information about the object you're searching for, including its size, shape, and material composition. This will help determine the appropriate sonar frequency and settings to use during the Side Scan survey.

2. Bathymetry: Obtain accurate bathymetric data for the survey area to understand the water depths, contours, and potential obstacles. This information is crucial for planning the survey lines, ensuring safe navigation, and avoiding any hazards.

3. Side Scan sonar equipment: Assess the capabilities and specifications of the Side Scan sonar system to be used. Consider factors such as the operating frequency range, beam width, and maximum range. Ensure that the equipment is suitable for the water depth of 200 meters and can provide the required resolution for detecting the target object.

4. Survey area and coverage: Determine the extent of the search area and establish the coverage requirements. Plan the survey lines, considering the desired overlap between adjacent survey lines to ensure complete coverage. Account for any factors that may affect the survey, such as current conditions, tidal movements, or known features in the area.

5. Survey vessel and navigation: Assess the capabilities and suitability of the survey vessel for the Side Scan operation. Consider factors such as stability, maneuverability, and the ability to maintain a steady course and speed. Ensure the vessel is equipped with accurate navigation systems, such as GPS and heading sensors, to precisely track the survey lines.

6. Environmental conditions: Consider the prevailing weather conditions, such as wind, waves, and visibility. Ensure that the operation can be conducted safely within the given weather window. Additionally, be aware of any environmental regulations or restrictions that may impact the survey.

7. Data processing and analysis: Plan for the post-survey data processing and analysis, including the software and tools required to interpret the Side Scan sonar data effectively. Determine the desired resolution and sensitivity settings to optimize the chances of detecting the target object.

8. Safety and emergency procedures: Communicate the necessary safety precautions and emergency procedures to the officer-in-charge, ensuring the crew is aware of potential risks and how to mitigate them. This includes safety equipment, communication protocols, and emergency response plans.

By considering these factors and effectively communicating them to the officer-in-charge, you can help ensure a well-planned Side Scan operation in search of the object in 200 meters of water.

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