how many solutions 9x +2y =9 -3x + y=2

The ratio of RMS speed of an ideal gas at 235K and 37K is 2.52011.

The equation V = √((3RT)/M), where R is the universal gas constant, T is the absolute (Kelvin) temperature, and M is the molecular mass, gives the root mean square (R.M.S.) speed V of the molecules of an ideal gas.

In the question, we are asked to find the ratio of the RMS speed of an ideal gas at 235K and 37K.

We are given two temperatures, T₁ = 235K and T₂ = 37K

We calculate the ratio V₁:V₂ in the following way:

V₁:V₂

= √((3RT₁)/M)/√((3RT₂)/M)

= √((3R(235))/M)/√((3R(37))/M)

= √(235/37) {Since, 3, R, and M, cancel off each other}

= √6.351 = 2.52011.

Thus, the ratio of RMS speed of an ideal gas at 235K and 37K is 2.52011.

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Answer:

\(\Huge\boxed{x=71.9}\)

Step-by-step explanation:

Hello There!

Once again we are going to use trigonometry to solve for x

Here are the Trigonometric Ratios

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length (58) and the adjacent side length (19)

this corresponds with tangent so once again we will be using tangent to solve for x

Looking at tangent we see that its equal to opposite divided by adjacent so we create an equation

\(tan(x)=\frac{58}{19}\\\frac{58}{19} =3.052631579\)

now we have

\(tan(x)=3.052631579\)

Once again we need to get rid of the tan

to do so we take the inverse of tan ( tan^-1) and apply it to each side

\(arcsin^-^1(tan(x))=x\\arcsin^-^1(3.052631579)=71.86191784\)

finally we round to the nearest tenth

we're left with x = 71.9

Answer:

-7

Step-by-step explanation:

Using the formula given above, just put in 4 and replace x. It will give you an answer of -7

Answer:

1.75

Step-by-step explanation:

The radius of Sphere A = 24 centimeters

The radius of sphere B = 42 centimeters

 \(\text{Radius of Sphere B} \div \text{Radius of Sphere A}=42 \div 24\\=1.75\)

Therefore, The radius of sphere A is multiplied  by 1.75 to produce the radius of sphere B

Question 37:  The following is a solution to the differential equation y = t - 1. d.

Question 38:  The tea temperature be after a very long time is dT/dt = k(S - T); T ≈ 20 degrees after a very long time. a.

To determine the solution to the given differential equation: t²(d²y/dt²) - 6t(dy/dt) + 12 = 0, we can solve the equation by assuming a solution in the form of y = tⁿ, where n is a constant.

By differentiating y with respect to t, we can substitute the derivatives into the differential equation to determine the value of n.

Let's differentiate y = tⁿ with respect to t:

dy/dt = n × tⁿ⁻¹

d²y/dt² = n(n-1) × tⁿ⁻²

Substituting these derivatives into the differential equation:

t²(n(n-1)tⁿ⁻²) - 6t(ntⁿ⁻¹) + 12 = 0

Simplifying the equation:

n(n-1)tⁿ - 6ntⁿ + 12 = 0

n(n-1)tⁿ - 6ntⁿ = -12

Since this equation must hold for all values of t, the coefficients of the tⁿ terms on both sides of the equation must be equal.

We can equate the coefficients:

n(n-1) = 0

n = 0 or n = 1

The general solution to the differential equation is y = c₁ + c₂ × t, where c₁ and c₂ are constants.

According to Newton's law of cooling, the rate of change of the temperature T of an object is proportional to the temperature difference between the object's temperature T and the surroundings' temperature S.

We can write the differential equation as follows:

dT/dt = k(S - T)

dT/dt represents the rate of change of temperature, k is the proportionality constant, and (S - T) represents the temperature difference between the object and the surroundings.

The cup of tea starts at 100 degrees and cools to 50 degrees in 3 minutes, with the room temperature at 20 degrees.

We can assume that the temperature of the tea will tend toward the room temperature as time goes to infinity.

This option correctly represents that as time goes to infinity, the temperature T of the tea will approach the temperature S of the surroundings, which is approximately 20 degrees.

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(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.

A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.

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The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

Answer:

d)the observations expressed in standard units

Step-by-step explanation:

The average will change and hence, consequently, so will the deviations from the average and also the standard deviation. so, the only option left is d)

The Classify each of the given sets of measurements is given below:

a) 52, 63, 65°: These measurements form a unique triangle. This is a right-angled triangle, also known as a Pythagorean triple.

b) 31°, 102°, 46°: These measurements do not form a triangle. The sum of the angles in a triangle is always 180°, but in this case, the sum is 179°, which is less than 180°.

c) 70.6°, 47.4°, 62°: These measurements do not form a unique triangle. There are multiple possible triangles that can be formed with these measurements.

d) 3 cm, 4 cm, 5 cm: These measurements form a unique triangle. This is another example of a Pythagorean triple.

e) 7.9 cm, 2.4 cm, 2.9 cm: These measurements do not form a triangle. The sum of the two smaller sides is less than the length of the largest side, which violates the triangle inequality.

f) 12% in, 6% in, 5% in: These measurements do not form a triangle. The sum of the two smaller sides is less than the length of the largest side, which violates the triangle inequality.

g) 124 mm, 432 mm, 385 mm: These measurements form a unique triangle.

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Answer:

Let's first calculate the amount of interest that would be earned if the interest were compounded annually. The formula for the future value of a single sum is:

F = P * (1 + r/n)^(nt)

Where:

F is the future value

P is the principal (the initial deposit)

r is the annual interest rate

n is the number of compounding periods per year

t is the number of years

For our calculation, we have:

P = $10,000

r = 1.8% = 0.018

n = 1 (annual compounding)

t = 30

So, the future value of the account with annual compounding is:

F = $10,000 * (1 + 0.018/1)^(1 * 30) = $10,000 * (1.018)^30 = $21,784.08

Now, let's calculate the amount of interest that would be earned if the interest were compounded monthly. The formula for the future value of a single sum is the same, but we need to use the monthly compounding rate (r/12) instead of the annual rate and the number of months (12t) instead of the number of years:

F = P * (1 + r/n)^(nt)

Where:

F is the future value

P is the principal (the initial deposit)

r is the annual interest rate

n is the number of compounding periods per year

t is the number of years

For our calculation, we have:

P = $10,000

r = 1.8% = 0.018

n = 12 (monthly compounding)

t = 30

So, the future value of the account with monthly compounding is:

F = $10,000 * (1 + 0.018/12)^(12 * 30) = $10,000 * (1.0015)^360 = $22,254.51

The difference in the two future values is $22,254.51 - $21,784.08 = $470.43.

So, the account would be worth $470.43 more if interest were compounded monthly rather than annually over a period of 30 years. Round to the nearest dollar, the answer is $470.

Step-by-step explanation:

Answer:310.45

Step-by-step explanation:

Answer: Percentage of all the people in the company are under the age of 25=x

Step-by-step explanation:

We have to use the weighted average.

x=(Σwi * vi )/Σ wi

w₁=3

w₂=2

v₁=40%

v₂=10%

x=[3(40%)+2(25%)] / (3+2)=34%

Solution: 34% of all people in the company are under the age of 25.

Answer:

s = 11.97

Step-by-step explanation:

Miguel served 23 orders, Ahmad served 46 orders, and Jane served 15 orders at the school cafeteria on Monday.

To solve this problem, let's assign variables to represent the number of orders served by each person. Let's say Miguel served x orders.
According to the information given, Ahmad served 2 times as many orders as Miguel, so Ahmad served 2x orders.
Jane served 8 fewer orders than Miguel, so Jane served (x - 8) orders.
The total number of orders served by all three is 84, so we can set up the equation:
x + 2x + (x - 8) = 84
Simplifying the equation, we have:
4x - 8 = 84
Adding 8 to both sides of the equation:
4x = 92
Dividing both sides by 4:
x = 23

Now we can find the number of orders served by each person:

Miguel served 23 orders.
Ahmad served 2 * 23 = 46 orders.
Jane served 23 - 8 = 15 orders.

In conclusion, Miguel served 23 orders, Ahmad served 46 orders, and Jane served 15 orders at the school cafeteria on Monday.

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Given that there are three concurrent forces acting on a bracket, we have to find the magnitude and angle of the resultant force and show the resultant in a sketch. The plan to find the magnitude and angle of the resultant force is as follows: Resolve the forces into their x and y-components.

Resolution of forces into their x and y-components:

F1 = 500 N at 300°

F2 = 400 N at 60°

F3 = 300 N at 120°

F1 can be resolved into its x and y components using the following equations:

F1_x = F1 cos θ

F1_y = F1 sin θ

Substituting the values of F1 and θ, we get:

F1_x = 500 cos 300°

F1_y = 500 sin 300°

F1_x = 500 × 0.866

F1_y = 500 × -0.5

F1_x = 433

N towards the left F1_y = -250 N downwards.

Similarly, F_res_x = 433 + 200 + (-150) F_res_y = -250 + 346 + 150F_res_x = 483 N towards the right F_res_y = 246 N upwards The resultant vector is shown in the figure below: \( \)The magnitude and angle of the resultant force can be found as follows:

\(R = √(F_res_x^2 + F_res_y^2)θ = tan-1(F_res_y/F_res_x)\)

Substituting the values of F_res_x and F_res_y, we get:R = \(√(483^2 + 246^2)R = 537\). 1 N

θ = tan-1(246/483)

θ = 28.3°

The magnitude of the resultant force is 537.1 N and the angle of the resultant force is 28.3°.

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Answer:

Twenty-nine questions were asked of every immigrant. They included: Where were you born? Are you married? What is your occupation? Have you ever been convicted of a crime? How much money do you have? What is your destination? What do you think the immigrants felt like answering these questions even though they did not speak English

Step-by-step explanation:

Twenty-nine questions were asked of every immigrant. They included: Where were you born? Are you married? What is your occupation? Have you ever been convicted of a crime? How much money do you have? What is your destination? What do you think the immigrants felt like answering these questions even though they did not speak English Thank

Answer:

1 1/3

Step-by-step explanation: Because if you divide 1 by 3/4 you get 1.3 or 13/10 or 1 1/3 if you make it a proper fraction (im not fully sure about the explination but when i did the math in my head and paper i got the answer so sorry if im wrong ;-;)

Answer:

with what

Step-by-step explanation:

Answer:

WHAT?!?!?!?!!?!

Step-by-step explanation:

The angle of depression the plane should descend is 1.43 degrees.

A plane is flying at an altitude of 25,000 ft when it start it descent to the airport. The plane is a horizontal distance of 1000,000 ft from the airport.

Therefore, let's find the angle of depression.

Hence, this situation forms a right angle triangle.

Therefore,

tan ∅ = opposite / adjacent

where

Hence,

tan ∅ = 25000 / 1000000

∅ = tan⁻¹ 25 / 1000

∅ =  tan⁻¹  0.025

∅ = 1.43209618416

∅ = 1.43 degrees

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Answer:

Only one person....Harry.

Answer: 1 person

Step-by-step explanation: Only two people enjoy honey in their tea: Jane and Harry. However, Jane only likes 1 spoonful of honey, whereas harry enjoys 2. Therefore, 1 person enjoys their tea with at least 2 spoonful's of honey.

Step-by-step explanation:

px^2-qx+r

p(x^2-q/px)+r

p[(x^2-q/px +(q/2p)^2_(q/2p)^2)]+r

p[(x-q/2p)^2 -q^2/4p^2)]+r

p(x-q/2p)^2 -q^/4p+r

p(x-q/2p)^2-(q^2-4pr)/4p

Answer:

2.828

Step-by-step explanation:

Answer:

4/6 or 2/3.

If the wheel has six piece and the goal is to get anything 4 and under there is 2/3 chance that you will get that number.

The probability that 3 are fresh and 1 is stale is 0.15, the probability that 2 are fresh and 2 are stale is 0.21, and the probability that at least 2 loaves are fresh is 0.56.

The probability of an event occurring is calculated by dividing the number of successful outcomes by the total number of possible outcomes. In this case, we are looking for the probability of selecting a certain combination of fresh and stale loaves from the 10 available.

a) The probability that 3 are fresh and 1 is stale can be calculated by multiplying the probabilities of each individual event occurring and then multiplying by the number of possible combinations. This gives us:

P(3 fresh, 1 stale) = (7/10) * (6/9) * (5/8) * (3/7) * 4 = 0.15

b) The probability that 2 are fresh and 2 are stale can be calculated in a similar manner:

P(2 fresh, 2 stale) = (7/10) * (6/9) * (3/8) * (2/7) * 6 = 0.21

c) The probability that at least 2 loaves are fresh can be calculated by adding the probabilities of the possible combinations of 2 or more fresh loaves:

P(at least 2 fresh) = P(2 fresh, 2 stale) + P(3 fresh, 1 stale) + P(4 fresh, 0 stale) = 0.21 + 0.15 + (7/10) * (6/9) * (5/8) * (4/7) = 0.56

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Answer:

Step-by-step explanation:

To find the parallel slope of a given slope, we need to remember that parallel lines have the same slope.

The given slope is -2/4.

To simplify the slope, we can reduce -2/4 by dividing the numerator and denominator by their greatest common divisor, which is 2:

-2/4 = (-12)/(22) = -1/2

Therefore, the parallel slope to -2/4 is -1/2.

The mean of the given data set 1, 14, 12, 10, 15, 8 is 10 found by dividing the total sum by the total number of values.

To find the mean (average) of a data set, we sum up all the values in the data set and divide it by the total number of values. In this case, we have six numbers in the data set.

Sum of the numbers: 1 + 14 + 12 + 10 + 15 + 8 = 60.

Total number of values: 6.

Mean = Sum of the numbers / Total number of values = 60 / 6 = 10.

Therefore, the mean of the given data set 1, 14, 12, 10, 15, and 8 is 10.

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Answer:

x² - 64

Step-by-step explanation:

Difference of squares: (x - a)²(x +a )²

With that, you have to have (x - 8) as a factor as well. Simply just multiply (x - 8) to (x + 8) and you get x² - 64 as your answer!

Answer:

C

Step-by-step explanation:

The standard matrix is:

| 0      -1 |
| -1      0 |

The standard matrix of the linear transformation T: R2 to R2 that reflects each vector through the line x1=-x2 can be found by following these steps:

1. Start with the standard basis vectors for R2, which are (1,0) and (0,1).

2. Apply the transformation T to each of these vectors to find the new vectors. For the first vector, (1,0), we have x1=1 and x2=0. The reflection through the line x1=-x2 gives us a new vector with x1=-x2=-0=0 and x2=-x1=-1. So the new vector is (0,-1).

3. For the second vector, (0,1), we have x1=0 and x2=1. The reflection through the line x1=-x2 gives us a new vector with x1=-x2=-1 and x2=-x1=-0=0. So the new vector is (-1,0).

4. The standard matrix of the transformation T is the matrix whose columns are the new vectors we found. So the standard matrix is:
```
| 0 -1 |
| -1  0 |
```
This is the standard matrix of the linear transformation T: R2 to R2 that reflects each vector through the line x1=-x2.

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Answer:

i think the correct answer is the third one

have a nice day! (^o^)

Answer:

7 1/3

Step-by-step explanation: