Write the word sentence as an inequality -5/9 is no less than 5 times a number k. An inequality is

Answer:

D

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 12² = 13²

a² + 144 = 169 ( subtract 144 from both sides )

a² = 25 ( take the square root of both sides )

a = \(\sqrt{25}\) = 5 → D

Answer:

Step-by-step explanation:

A) The angular velocity is the ratio of angular distance to time:

  ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)

  ω = 8π radians/second

__

B) The arc length is ...

  s = rθ = rωt

  s = (35 cm)(8π rad/s)(60 s) = 16,800π cm

  s ≈ 52779 cm = 527.79 m

The wheel travels about 527.8 meters in one minute.

The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.

To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.

If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.

However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.

Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.

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Answer:

Parallel lines have to have the same slope, and the only one that has a slope of 1/4 is y = 1/4x - 1/2

Answer:

12 / 2.4 = 5

Step-by-step explanation:

So the man is filling the bucket at 5 gallons per minute.

Dont trust me I just did the math and that is what I got....

Sorry if it's wrong

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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The four corners of a square are 90 degrees.

They are evenly split by the diagonal lines, so each corner is now two 45 degree angles.

The lines form triangles, which have 3 angles that need to equal 180 degrees.

Two of the angles are 45, so 45 + 45 = 90 degrees.

X = 180 -90 = 90 degrees.

Answer:

90 degrees

By 90 * 4 is 360

Step-by-step explanation:

Percentage of the student body exists at least 21 years old exists 50%.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

As one moves away from the center, values start to taper off and the majority of values are concentrated in this area. In a normal distribution, the mean, mode, and median are identical measures of central tendency.

When given a normal or Symmetric distribution, the mean of the distribution exists at the center with 0.5 or 50% of the distribution to either side (right and left) of the distribution.

Therefore, if the mean = 21 ; then the percentage of student body with at least 21 years is the percentage to the left of the distribution, which exists 50%.

P(x ≤ 21) = 0.5 = 50%

Therefore, 50 percentage of the student body exists at least 21 years old

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Answer:

F = C/59 + 32

Step-by-step explanation:

Answer:

f(2) = 15.5

f(3) = 18

f(4) = 20.5

f(5) = 23

f(6) = 25.5

g(2) = 64

g(3) = 96

g(4) = 128

g(5) = 160

g(6) = 192

Step-by-step explanation:

plug it all in to the equations

Answer:

i took the test and heres what i got

Step-by-step explanation:

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient.

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient. This coefficient is a statistic that quantifies the internal consistency reliability of a scale or measure, specifically for measures with multiple items or indicators that are intended to measure the same underlying construct.

The coefficient ranges between 0 and 1, with higher values indicating greater internal consistency. Cronbach's alpha measures the extent to which the items in a scale or measure correlate with each other. It assesses how well the items are measuring the same underlying construct or concept.

In other words, the coefficient represents the proportion of variance in the observed scores that can be attributed to the true score, rather than measurement error or other extraneous factors. It indicates the degree to which the items in the measure are interrelated or consistent with each other, with higher values suggesting stronger internal consistency.

Researchers often use Cronbach's alpha to assess the reliability of scales in various fields, such as psychology, education, and social sciences, to ensure that the measure is measuring the construct consistently and accurately.

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Answer:

8h + 37 = 125

Step-by-step explanation:

if she already has 37, you can take 37 from 125. you should have 88 left.

if you do the math, 8 x 11 is 88. so she needs to work 11 hours to be able to pay for the ski pass.

The two types that the boatbill will dominate are grasses and shrubs according to the attached table.

The density of an item is defined as its mass divided by its volume. Density is commonly expressed in grams per cubic centimeter (g/cm3). Remember that grams are a unit of mass and cubic centimeters are a unit of volume (the same volume as 1 milliliter). “Density = mass divided by volume.” Density is a compound metric that tells us about an object's mass in proportion to its volume. The density of a substance is the measure of how densely it is packed together. It is expressed as mass per unit volume. Density Symbol: D or ρ Density Formula: = m/V, where is the density, m is the object's mass, and V is its volume.

Here,

According to the accompanying data, the boatbill will predominate among grasses and bushes.

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Answer:

d

Step-by-step explanation:

d is the one with both a y squared and x squared making it an ellipse or oval

△KML is congruent to △QNP (△KML ≅  △QNP) under SSA conditions.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

Slide, twist, flip, and turn these triangles to create an identical appearance.

They are in alignment with one another when moved.

If two triangles meet all 5 requirements for congruence, then they are congruent.

They are right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SSS) (RHS).

So, in the given triangle:

Prove that: △KML ≅  △QNP

∠L = ∠P = 90° (Equal: Given)

ML = QP = 12 units (Equal: Given)

Mk = QN = 15 units (Equal: Given)

So, △KML ≅  △QNP is under SSA condition.

Therefore, △KML is congruent to △QNP (△KML ≅  △QNP) under SSA conditions.

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When Reena bought a jacket for $45 and after six months later she sold it for $34.65, then the percentage loss is 25%

Given,

Reena bought a jacket for = $45

Selling price of jacket = $34.65

Here, selling price is lower than cost price, so we can consider it as loss

We know,

Loss percentage = (Loss / Initial cost)×100

Loss = Initial cost - Selling price

Loss = 45 -34.65= $10.35

Loss percentage =\((\frac{10.35}{45}) 100\)

=0.25×100

=25%

Hence, when Reena bought a jacket for $45 and after six months later she sold it for $34.65, then the percentage loss is 25%

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Answer: 7.2

Step-by-step explanation: 2.4(3) is really just 2.4 * 3 so 2.4 times 3 is 7.2.

Answer:

13.824

Step-by-step explanation:

Raise 2.4 to the power of 3.

Answer:

Mean: 95, Median: 50 Mode: 25

Step-by-step explanation:

1.Mean: add all the numbers then divide by the number of numbers there

25+25+25+25+50+50+125+125+125+375= 950

950 divided by 10 = 95

2.Median :is the number in the middle of all the numbers in this case we have 2 so we will ad those two then divide them by two

50+50=100 100/2 = 50.

3. Mode : this is the most recurring number there and in this case it's 25

Through a review of census records, Rebecca was able to determine that the mean age of the population she was studying was 23.4 years old. This is known as a(n) "average."

Through her analysis of census records, Rebecca was able to calculate the average age of the population she was studying. This value, which is the sum of all ages divided by the total number of individuals, is known as the mean. In this case, the mean age of the population was 23.4 years old. This statistic provides a useful summary of the age distribution of the population, but it should be noted that there may be variability or outliers that could impact the interpretation of the mean. Therefore, it is important to also consider other measures of central tendency and dispersion when analyzing data.

The average is calculated by adding up all the ages in the population and dividing the sum by the total number of individuals. This statistical measure helps provide a general understanding of the age distribution in the population, allowing for further analysis and comparisons to be made.

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Answer:

b = -150m + 1800

Step-by-step explanation:

I looked this up so no explanation

Answer:

y=26

Step-by-step explanation:

2(3y+7+5)=196-16 do the () first and then subtract 16 from 16

6y+24=180 subtract 24 from both sides

6y=156  divide by 6

y=26

Answer:

26

Step-by-step explanation:

6y+14+10=180

6y=180-24

6y=156

y=26

The name of the equation of a parabola is called a Quadratic equation, it looks like;

\(a {x}^{2} + b {x}^{?} + c\)

Capacity utilization is the measure of filled beds in a healthcare facility.

Length is a measurement of how long an object is, typically expressed in units such as inches, feet, meters, or centimeters. It is a physical quantity that can be used to measure a variety of things, from the size of a room to the length of a river. Length is also used to measure time, such as the length of a day or the length of a year.

It is the ratio of beds actually occupied by patients to the total number of beds available. Capacity utilization is a key indicator of the efficiency of a healthcare facility. It is typically calculated by dividing the average daily census (the average number of patients in a facility in a day) by the number of beds available in the facility. Capacity utilization can also be used to assess the impact of changes in average length of stay (the average amount of time a patient spends in a facility) and other factors such as rates of infection. By understanding capacity utilization, healthcare facilities can better manage their resources and optimize patient care.

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Answer:

5

Step-by-step explanation:

2=30 so 30= 1/2 or an hour so 2+2=4 witch makes an gour half of 2 is 1 so it would make 5

Answer:

Kindly check explanation

Step-by-step explanation:

Give the line of best fit :

y = 1.62x + 18 ; where ;

y = wait time ; x = number of staffs available

If slope of the line is -1.62.

The slope of linear graph represents the ratio of change in the y variable and the x variable. With a slope value of - 1.62, the rate of change is negative and thus an increase in x will lead to a decrease in y. This means that for every unit increase in the number of staffs, the wait time reduces at a rate of 1.62 per unit.

The price that the customer pays after the VAT is Rs. 21,470.

In the question, we are given that the selling price of an article is Rs. 19000, and 13% VAT is levied on it.

We are asked to find the price that the customer pay.

The total price that the customer pays is the sum of the selling price and the VAT that he/she needs to pay.

The selling price is given to be Rs. 19000.

The VAT is 13%, that is, 13% of Rs. 19000 = Rs. 0.13*19000 = Rs. 2470.

Thus, the total price that the customer pays = The selling price + The VAT,

or, the total price that the customer pays = Rs. 19000 + Rs. 2470 = Rs. 21470.

Thus, the price that the customer pays after the VAT is Rs. 21,470.

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Answer:

x=−3y+8

Step-by-step explanation:

Step 1: Add 6y to both sides

−2x=6y−16

Step 2: Divide both sides by -2

−2x/−2 = 6y−16/−2

x=−3y+8

Im hoping this was very helpful : )

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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