A rigid cylinder of gas shows a pressure of 500 torr at 215 K. The cylinder is moved to a new storage site where the pressure within the cylinder is now measuring 800 torr. What is the new temperature? Show your work.

Answer:

A. 12m + 8

Step-by-step explanation:

Simplify

(16m + 3) – (4m – 5)

(16m + 3) – 4m + 5

Eliminate reduce parentheses

16m + 3 – 4m + 5

Add the numbers

16m + 3 – 4m + 5

16m + 8 – 4m

Combine like terms

16m + 8 – 4m

12m + 8

Answer:

y = x - 3

Step-by-step explanation:

First you want to combine like terms (so get x on one side and y on the other).

2y = 5y + 9 - 3x

-3y = -3x + 9

Then just solve for y by dividing by -3

y = (-3x + 9)/-3

y = x - 3

Answer:

1. Placebos are used to randomly assign participants to treatment or control ?

False.

2. Using a random chance procedure to assign subjects to treatment or control reduces bias ?

True.

3. A well-designed placebo allows an experiment to be conducted blind. ?

False.

4. In an observational study, the investigators assign the subjects to treatment or control. ?

False.

5. In a blind experiment, the subjects do not know whether they are in the treatment group or control group. ?

True.

6. Placebos are used so that even the people who do not receive a treatment can benefit from the study. ?

True.

7. A placebo is used in all controlled experiments. ?

True.

8. Controlled experiments can be randomized or nonrandomized.

True.

Step-by-step explanation:

Placebos are not techniques for conducting experiments.  They are devices or drugs used when conducting a controlled study or research involving the administering of items to two different groups, such that one group gets the real item while the other group gets another item that is made to look like the real item without the participants knowing the difference. The purpose is to enable the results from the control group to be compared to the results of a treatment group. Randomization is the process used to assign subjects to treatment or control groups in order to reduce bias.

Answer:

A 61

Step-by-step explanation:

Cos A = 0.4848

A = cos ^-1(0.4848)

A = 61

Step-by-step explanation:

a.

add up all the grams to get the total

60 + 40 + 100 = 200

butter is 60 out of 200 or

60/200 or (divide top & bottom by 20)

3/10 = answer

b.

3 ÷ 10 =

.33 = answer

c.

salt =

40 ÷ 200 = 1/5 = .20 =

20% = answer

flour

100 ÷ 200 = 1/2 = .50 =

50% = answer

Answer:

\(\huge\boxed{\sf x = 9}\)

Step-by-step explanation:

3(x + 4) - 11 = 28

3(x + 4) = 28 + 11

3(x + 4) = 39

3x + 12 = 39

3x = 39 - 12

3x = 27

x = 27/3

\(\rule[225]{225}{2}\)

The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

Answer:

slope = 3

Step-by-step explanation:

rise/run = 3/1 = 3

Answer:

Php150.00

Step-by-step explanation:

1/6 X 900

= Php150.00

Answer:

5/23

Step-by-step explanation:

23 students, 18 females so 5 males

In this case, the probability of a male student being chosen at random from the class is 5/23.

The probability of an event is the ratio of the number of cases favorable to it to the total number of cases possible when nothing leads us to expect any of these cases to occur more than any other, making them equally possible for us.

i.e. probability of an event = number of the possible outcome of an event/number of total outcomes in the sample space

An event is a set of outcomes of an experiment to which a probability is assigned in probability theory.

A sample space is a set of possible outcomes from a random experiment.

Here, the random experiment, in this case, is "a student chosen at random from the class". There are 23 students in the class. So, the number of total outcomes in the sample space is 23. Let us consider the event as “the randomly chosen student is a male”.

Since there are 18 female students in the class, so the number of male students is (23-18)=5.

i.e. the number of the possible outcome of this event is 5.

Therefore the classical definition of probability, we can conclude that

Required Probability = 5/23

Hence the probability that a student chosen randomly from the class is a male is 5/23.

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Answer:

The answer is 12000 roundes to the neatest thousand

Step-by-step explanation:

In your calculator just substitute 7 into t

8000 ×1.06 to the power of 7

Answer:

Step-by-step explanation:

YL is the angle bisector of ∠AYB, so the two angles are congruent:

Substitute and solve for x:

Find the value of ∠BYL:

This is matching the answer option B.

The red angles must be equal as YL is bisector

<BYL

Option B

Answer:

I have 1000$ i wanna buy it

Step-by-step explanation:

Answer is 2.1 kg and 2.9 kg.

A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign "=".

Given that,

Amount of cheese = $8 per kg

Amount of kiwis = $ 3 per kg

Assume

X = quantity of chees

Y = quantity of kiwi

According to the given information,

X + Y = 5  ...(i)

8X + 3Y = (5)4.50    ....(ii)

From (ii) = 3x(i),

5x = 10.5

 x = 2.1 kg

Now put the value of x into (i),

y = 2.9 kg

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Answer:

? = 2    Full Answer: 1/2

Step-by-step explanation:

A regular die has only 6 numbers: 1, 2, 3, 4, 5, & 6.

In those numbers, there are 3 odd numbers, and 3 even numbers. This would mean that the probability of getting an odd number would be 3/6.

But to simplify it, 3/6 ALSO equals 1/2

Answer:

1/2 is the answer

Step-by-step explanation:

A die has 6 possible outcomes: 1, 2, 3, 4, 5, 6

Out of these numbers 3 are odd numbers.

P(Event) = Number of favourable outcomes/ Total number of outcomes

P(odd) = 3/6

           = 1/2

There is a 2/17 difference between 16/17 and 14/17 as 17 is the shared denominator of both fractions.

A whole can be represented by any number of equal parts, or fractions. The number of units of a particular size is expressed as a fraction in standard English. 8, 3/4. Fractions are included in wholes. Numbers are expressed in mathematics as the ratio of the numerator to the denominator. In simple fractions, each of these is an integer. A complicated fraction contains a fraction in either the numerator or denominator. There is a difference between the numerators and denominators of true fractions. A sum that is a fraction of a whole is referred to as a fraction. You can evaluate it by dissecting the whole into smaller pieces. For example, 12 is used to represent one-half of a full number or item.

Given,

To get the difference between 16/17 and 14/17, discover their common denominator first.

17 is the shared denominator of both fractions.

To solve, multiply the result by the numerator of the fractions, then divide the sum by the common denominator:

16 - 14/17 (16 - 14) = 2/17 is the solution.

Therefore, there is a 2/17 difference between 16/17 and 14/17.

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Answer:

Step-by-step explanation:

Yes, A-A-A

Answer:

Page 1 Answer: \(\frac{9}{5}\)

Page 2 Answer: 175

Page 3 Answer: Alicia used 1.5 gallons to travel a distance of 37.5 miles.

Page 4 Answer: I think its 117 but I could be wrong...

Step-by-step explanation:

Page 1:

We just simplify \(\frac{36}{20}\) by dividing and get 9/5

Page 2: Since they want to DOUBLE her amount in her savings, we double her current amount (125) and get 250 by adding.

Next, we subtract 125 from 300 in her checking and get 175.

Page 3:

We use the titles so solve the graph.

Answer:

Step-by-step explanation:

Expression 1:

b) \(\frac{36}{20} =\frac{36/4}{20/4}=\frac{9}{5}\)

Gabrielle:

$125 * 2 = $250

300 - 125 = $175

c) $175 will be her new checking account balance.

Alicia:

d) Alicia used 1.5 gallons to travel a distance of 37.5 miles.

Kenneth:

Area of a triangle: A = 1/2*b*h (base = 6, height = 6)

A = 1/2 * 6 * 6

A = 1/2 * 36

A = 18 square inches

Since there are two triangles, it would be 18 * 2 = 36 square inches

Area of a rectangle: A = l*w (length = 9, width = 9)

A = 9 * 9

A = 81 square inches

Add the two areas together:

b) 36 + 81 = 117 square inches

Hope this helps!

Answer:

The height of the antenna is 7.0 m

Step-by-step explanation:

Let the height of the antenna be represented by x, and the distance from Avani's eyes to the top of the building A by y. And let z = x + y, so that:

Tan 42 = \(\frac{y}{21}\)

y = Tan 42 x 21

  = 0.9004 x 21

  = 18.9084

y = 18.91 m

Also,

Tan 51 = \(\frac{z}{21}\)

z = Tan 51 x 21

  = 1.2349 x 21

  = 25.9329

z = 25.93 m

Therefore,

x = z - y

  = 25.93 - 18.91

  = 7.02

x = 7.02 m

The height of the antenna is 7.0 m

Answer:

S = All real numbers / (∞,∞)

Step-by-step explanation:

Absolute values are ALWAYS greater or equal to zero. Therefore, you could plug any number into S, and it would still be greater than 1.

Answer:

arc length ≈ 104 cm

Step-by-step explanation:

arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \(\frac{\frac{11\pi }{6} }{2\pi }\) ( r is the radius )

cancel 2π on denominator of fraction with the 2π multiplier

arc = r × \(\frac{11\pi }{6}\)

     = 18 × \(\frac{11\pi }{6}\)

     = 3 × 11 × π

     ≈  104 cm ( to the nearest whole number )

To find:-

Answer:-

We are here given that, an arc subtends an angle of 11π/6 radians on the centre of a circle whose radius is 18cm . We that the if r is the radius of a circle and \(\theta\) is the angle substended by an arc at the centre then, the length of the arc is given by,

\(\implies \green{ \ell =\dfrac{\theta}{2\pi }\times 2\pi r}\\\)

where ,

Now on substituting the respective values, we have;

\(\implies \ell =\dfrac{\dfrac{11\pi}{6}}{2\pi }\times 2\pi \times 18\ cm\\\)

\(\implies \ell =\dfrac{11\pi}{6}\times 18\ cm\\\)

\(\implies \ell = 33\pi \\\)

\(\implies \ell = 33\times 3.14\\\)

\(\implies \underline{\underline{\green{\ell = 103.62\ cm }}}\\\)

Hence the length of the arc is 103.62 cm .

and we are done!

The traveler must walk 17 blocks to reach the State Building.

The traveler needs to walk 8 blocks from the intersection of Orovada Street and Washington Avenue to the State Building.

She also knows that the intersection of Orovada Street and Washington Avenue is 5 blocks from the intersection of Wyoming Street and Washington Avenue, so she needs to walk 5 blocks from the intersection of Wyoming Street and Washington Avenue to the intersection of Orovada Street and Washington Avenue.

Also, the traveler had to walk 4 blocks to get from the intersection of Wyoming Street and Green Avenue to the intersection of Orovada Street and Green Avenue.

Therefore, the traveler must walk 8 + 5 + 4 = 17 blocks to reach the State Building.

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An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Answer:

I’m smart

Step-by-step explanation:

Answer:

1/4+6

Step-by-step explanation:

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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Answer:

2/3x

Step-by-step explanation:

This is a simple ax graph. all we need is the slope. the slope is the amount the y goes divided by the amount the x goes. essentially

change in y / change in x

2/3

2/3x

Answer:

1ST star is (0,0)

2nd star is (3,2)

3rd star is (6,4)

4th star is (9,6)

Step-by-step explanation:

I HOPE THIS HELPS SORRY I TOOK SO LONG

Answer:

  about 1.1%

Step-by-step explanation:

Given a moon has a diameter of 22% of the diameter its planet, you want the volume of the moon as a percent of the planet's volume.

The ratio of moon diameter to planet diameter is given as 22%. The ratio of moon volume to planet volume will be the cube of this scale factor:

  moon volume / planet volume = (0.22)³ ≈ 0.0106 = 1.06%

The volume of the moon is about 1.1% of the volume of the planet.

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