Graph the solution to this inequality on the number line.

x+5<−2

First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.

After pouring some water from container A into container B, the new height of the water in both containers will be equal.

When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.

When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.

The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.

Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.

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Answer:

you would need 12 rooms

Step-by-step explanation:

168/12=11.2  so you would have 11 full rooms and then a room for the leftover two

Answer:

11.2 or just 11

Step-by-step explanation:

Okay, so, I apologize if this is an idiot answer, but if you take your 168 hikers and divide them by each room which can hold 15 hikers, you'll get 11.2. NOW MAYBE THE .2 OF THE HIKERS CAN SLEEP ON THE FLOOR I DON'T KNOW SORRY IF THIS IS A TERRIBLE ANSWER.

Answer:

34.16

Step-by-step explanation:

42.7

x 0.8

-------

34.16

Answer:

34.16

Step-by-step explanation:  

2 5

42.7

 x

0.8

 =  

43.16

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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In the Bode magnitude plot, the value |GH| at ω = 0.4 is -5 dB, and it lies on a line with a specific slope.

The Bode magnitude plot represents the magnitude response of a system as a function of frequency. It consists of a logarithmic scale for the magnitude in decibels (dB) and a linear scale for the frequency.

Given that |GH| at ω = 0.4 is -5 dB, it means that the magnitude of the system's transfer function, GH, at the frequency ω = 0.4 is -5 dB. This indicates that the system attenuates the input signal by 5 dB at that specific frequency.

The statement also mentions that this value lies on a line with a slope. The slope of the Bode magnitude plot represents the rate at which the magnitude changes with respect to frequency. Without additional information about the specific slope mentioned, it is not possible to determine its exact value or interpret its significance.

To fully understand the behavior of the system, additional information about the specific transfer function or frequency response characteristics would be needed.

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Answer:

y = 3/11(x) - 19/11

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

Step 2: Divide both sides by -11.

Therefore, the answer is y = 3/11(x) - 19/11.

Answer: Hello!

We know that

the equation for calculating the slope of a line is

m=(y2-y1)/(x2-x1)

look for any two points on the graph

let

A(0,0)

B(3,1)

m=(1-0)/(3-0)------> m=1/3

the slope  is 1/3 throughout the line

therefore  

the answer is the option

B-It is 1/3 throughout the line

Step-by-step explanation:

Mark me brainest please. Hope I helped! Hope you make an 100%

- Anna♥

Answer:

$2,928

Step-by-step explanation:

Using the equation below, note that for days in which she worked more than \(8\) hours, we will be multiplying the number hours worked over \(8\) hours by \(91.5.\)

\(61\) × \(1.5=91.5\)

Let \(x\) equal hours less than or equal to \(8.\)

Let \(y\) equal the number of hours worked over \(8\) hours.

Let \(t\) equal gross earnings.

Start with an equation:

\(61x+91.5y=t\)

Monday:

\(61(7)=427\)

Tuesday:

\(61(8)+91.5(1) = 579.5\)

Wednesday:

\(61(8)+91.5(1) = 579.5\)

Thursday:

\(61(8)+91.5(2) = 671\)

Friday:

\(61(7)=427\)

Saturday:

\(61(4)=244\)

Now, total the gross earnings of each day.

\(427+579.5+579.5+671+427+244\)

Solve.

\(2928\)

Hey,

\( \frac{2}{3} \div \frac{3}{4} = \frac{2}{3} . \frac{4}{3} = \frac{8}{9} \)

`Sorry if it's wrong

Good luck :)

Answer:

0.44

Step-by-step explanation:

Also I highly highly respect you doing this for roblox. I wish you the best of luck!

Answer:

00.4 I used to do this!!

Step-by-step explanation:

Hope this helps!!!

HAVE AN AMAZING DAY

Answer:

8x-3

Step-by-step explanation:

The total perimeter is the length of all the sides of the triangle added together, in this case that is 11x+1. In order to get the length of the one side by itself subtract the other two side lengths from the perimeter. (11x+1)-(x+5)=10x-4. (10x-4)-(2x-1)=8x-3.

The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.

Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²

Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:

TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²

= 20L + 125 + 25L - 0.03L² - 5

= -0.03L² + 45L + 120

APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L

= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L

= 50 - 0.03L - 0.5 / L

= 49.5 - 0.03L / L

MP = ∂TPL / ∂L

= 20 + 25 - 0.06L - 0.02K²

= 45 - 0.06L

The following diagram illustrates the TP, MP, and AP curves:

Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves

The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.

The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.

In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.

The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.

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The coordinates for point C are mathematically given as

(x,y)= (-2, 3).

This is further explained below.

Generally, A coordinate system is a system that makes use of one or more integers, also known as coordinates, in order to precisely identify the location of points or other geometric components on a manifold, such as Euclidean space.

In conclusion, The mathematical expression for the coordinates of point C is written as (x,y)=.(-2, 3).

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2(z - 5) + (z - 8) =

= 2z - 10 + z - 8 =

= 2z + z - 10 - 8 = 3z - 18 ← the end

Answer:

78,718.5

Step-by-step explanation:

2.1*102=214.2

3.5*105=367.5

214.2*367.5=78,718.5

The conclusion "A > (K > J)" is proved using a conditional proof based on the given premises.

To prove the conclusion "A > (K > J)" from the given premises, we can use a conditional proof. Here's a step-by-step breakdown of the proof:

1. Assume A as the temporary assumption. (Assumption)

2. From premise 1, we have: A > (K > L).

3. Assume K as the temporary assumption. (Assumption)

4. From assumption 3 and premise 2, we have: (L v N) > J.

5. From assumption 3, premise 2, and the disjunction elimination (vE) rule, we have two cases to consider:

  a) Assume L as the temporary assumption. (Assumption)

     - From assumption 4, we have: J. (Direct derivation)

  b) Assume N as the temporary assumption. (Assumption)

     - Since N is arbitrary and has not been used, we can conclude anything from this assumption. For the sake of simplicity, let's conclude J. (Direct derivation)

6. In both cases (5a and 5b), we have J as the result.

7. Based on cases 5a and 5b, we can conclude (K > J) using the conditional introduction (>) rule.

8. From assumption 3 and the derived result in step 7, we have K > J.

9. Based on assumption 3 and the derived result in step 8, we can conclude (A > (K > J)) using the conditional introduction (>) rule.

10. Since the assumption in step 3 was arbitrary, we can discharge it and conclude (A > (K > J)).

11. Since the assumption in step 1 was arbitrary, we can discharge it and conclude that if A holds, then (K > J) follows, i.e., A > (K > J). (Conditional proof)

Therefore, we have proved the conclusion "A > (K > J)" using a conditional proof based on the given premises.

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150 is not a required term for this proof, thus it is not included in the answer.

Given premises:

1. A > (K > L)2. (L v N) > J Conclusion: A > (K > J)Proof:

Assume A is true. This is our assumption for the Conditional proof. Now we need to prove that (K > J) will also be true with the given premises.So, from 1: A > (K > L) with A assumed to be true, we can infer:(K > L) (using Conditional Elimination) Now we need to prove that K > J. So assume K to be true to show that J will be true as well. So, for this assumption, we have to prove L also to be true. From (K > L), with the assumption that K is true, we can conclude that L is also true. Now we can use this result to prove the final statement:

(L v N) > J (Premise 2) (using Conditional Elimination)Since we have proved that L is true, we can conclude that J is true as well. We have used the premise 2 to make this conclusion. Hence the conclusion follows:A > (K > J) is true.150 is not a required term for this proof, thus it is not included in the answer.

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Answer:

yes..the slope is rise over run...the slope is -3

The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

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Answer:

8 is the square root of 64.

Step-by-step explanation:

I hope it's helpful!

Step-by-step explanation:

8 is the square root of 64 by prime factorization method

Answer:

202 cm^2

Step-by-step explanation:

SA = 2LW + 2LH + 2WH

SA = 2(4 cm)(5 cm) + 2(4 cm)(9 cm) + 2(5 cm)(9 cm)

SA = 40 cm^2 + 72 cm^2 + 90 cm^2

SA = 202 cm^2

Answer:

Step-by-step explanation:

Rate of change = (2-3.6)/(5-(-3)) = -1.6/8 = 0.2

Answer:

Step-by-step explanation:

that is b

Answer:

269.01860??
But i can tell u 13.914 cm + 243.1 cm + 12.00460 cm = 260.01860 not 269.01860

Step-by-step explanation:

Answer:

The probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

Step-by-step explanation:

The random variable X follows a discrete uniform distribution.

The probability mass function of X is:

\(f(x)=\left \{ {{\frac{1}{3}};\ x=1,2,3 \atop {0;\ \text{otherwise}}} \right.\)

Then,

a = 1

b = 3

The mean and standard deviation of the random variable X are:

\(\mu=\frac{b+a}{2}=\frac{3+1}{2}=2\\\\\sigma=\sqrt{\frac{(b-a+1)^{2}-1}{12}}=\sqrt{\frac{(3-1+1)^{2}-1}{12}}=0.8165\)

The sample size is, n = 39.

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

\(\mu_{\bar x}=\mu\)

And the standard deviation of the sample means is given by,

\(\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}\)

As n = 39 > 30, the sampling distribution of sample mean of X will follow a Normal distribution approximately.

Compute the probability that the sample mean is greater than 2.1 but less than 2.6 as follows:

\(P(2.1<\bar X<2.6)=P(\frac{2.1-2.0}{0.8165/\sqrt{39}}<\frac{\bar X-\mu_{\bar x}}{\sigma/\sqrt{n}}<\frac{2.6-2.0}{0.8165/\sqrt{39}})\)

                          \(=P(0.76<Z<4.59)\\\\=P(Z<4.59)-P(Z<0.76)\\\\=1-0.77637\\\\=0.22363\\\\\approx 0.2236\)

Thus, the probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

The rate of interest for 2nd year is 4.1%

From the given parameters;

Rate of interest for 1st year = 2.5

As we know the formula for Simple interest is given by

                         => I = (PTR)/100

We will use this formula in the following problem

Let 100 be Feri's investment

At the Rate of interest of 2.5  

Interest on 100 = [(100(1)(2.5)]/100 = 2.5

Total amount at end of 1st year = 100 + 2.5 = 102.5

Let x be the rate of interest for 2nd year

At the rate of interest of x

interest on 100 = [(100(1)(x)]/100 = x

Total amount at end of 2st year = 102.5 + x  

Given that, at end of the 2 years, the rate of interest becomes 6.6%  

Interest on 100 at the rate of 6.6%  

=>  [(100(1)(6.6)]/100 = 6.6

=> total amount = 100 + 6.6 = 106.6

As we know in both cases, the amount must be equal

=> 102.5 + x  = 106.6  

=> x = 4.1

Therefore, The rate of interest for 2nd year = 4.1

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Step-by-step explanation:

\( \tt{53 \degree + ( 5 + 4x) \degree = 90 \degree} \: \) ( Sum of complementary angles )

⟶ \( \tt{53 \degree + 5 + 4x \degree = 90 \degree}\)

⟶ \( \tt{58 \degree + 4x \degree = 90 \degree}\)

⟶ \( \tt{4x \degree = 90 \degree - 58 \degree}\)

⟶ \( \tt{ 4x \degree = 32 \degree}\)

⟶ \( \tt{x = \frac{32 \degree}{4 \degree}} \)

⟶ \( \tt{x = 8 \degree}\)

\( \pink{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \tt{x = 8 \degree}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

(x+2)^2 - 6

Step-by-step explanation:

Answer: t+7= 13

Step-by-step explanation:

Jermaine has "t" trading cards whereas Jasmine has 7, together they make 13 trading cards.

So t+7= 13.

(t=6)