5)
D
-10 + 7x
70°
E
12x + 10
А с
A) 12
C) 8
B) 10
D) 2

Answer:

144

Step-by-step explanation:

base x length x height

12 x 4 x 3

144

The final temperature is calculated to be 41.8 degrees Celcius if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa

The final temperature can be calculated by using the combined gas law as follows;

\(\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }\)

Here \(P_{1}\) and \(P_{2}\) represent the initial and final pressure respectively,

\(V_{1}\) and \(V_{2}\) represent the initial and final volume respectively

\(T_{1}\) and \(T_{2}\) represent the initial and final temperature respectively

Converting \(T_{1}\) to kelvin as follows;

\(T_{1}\) = 27 degrees Celcius = 27 + 273 = 300 K

Now the final temperature can be determined by substituting the values in this equation of the combined gas law as follows;

(0.50×10^5)(1.25) / 300 = (0.82×10^5)(0.80) / \(T_{2}\)

208.333333333 = (0.82×10^5)(0.80) / \(T_{2}\)

208.333333333 (\(T_{2}\)) = (0.82×10^5)(0.80)

\(T_{2}\) = (0.82×10^5)(0.80) ÷ 208.333333333

\(T_{2}\) = 314.8 K

Converting K to degree Celcius as follows;

\(T_{2}\) = 314.8 - 273 = 41.8 degree Celcius

Hence 41.8 degrees Celcius is calculated to be the final temperature.

Although a part of your question is incorrect, you might be referring to this question:

A cylinder fitted with a movable piston contains ideal gas at 27 degrees C, pressure 0.50*10^5 Pa, and volume 1.25 m^3. What will be the final temperature if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa?

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Step-by-step explanation:

Use the y=mx+b reference

the b refers to the y intercept which in your case is -4

so on the graph you would put -4 on the y line so at (0,-4)

Then the m or the slope which is 1.2 means from the point (0,-4) you move 1.2 units up and 1 unit to the right forever to create your line so you continuously move 1.2/1 and -1.2/-1

The required, graph of the linear equation y = 1.2x-4 is shown in the image attached below.

To graph the equation y = 1.2x - 4:

The graph of Y = 1.2x - 4 will be a straight line that passes through the points (0, -4) and (1, -2.8), and it will continue infinitely in both directions. The line will slope upwards from left to right with a slope of 1.2.

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1. The parse tree for the statement D = 24 * 21 + T + Y is:

       D

      /|\

     / | \

    *  +  +

   / \    \

  24  21   +

          / \

         T   Y

2. The parse tree for the statement C = 10(T + 11) / 40 is:

       C

      /|\

     /= \

    /   \

   /     \

  /       \

 *        40

/ \

10  +

  / \

 T  11

3. The parse tree for the statement A = 10 % 2 is:

      A

     /|\

    /= \

   /   \

  /     \

 %       2

/ \

10  2

1. For the statement D = 24 * 21 + T + Y, the parse tree represents the order of operations. First, the multiplication of 24 and 21 is performed, and the result is added to T and Y. The parse tree shows that the multiplication operation (*) is at the top, followed by the addition operations (+) and the variables T and Y.

2. For the statement C = 10(T + 11) / 40, the parse tree represents the order of operations and the grouping of terms. Inside the parentheses, the addition of T and 11 is performed, and then the result is multiplied by 10. Finally, the division by 40 is performed. The parse tree shows the multiplication operation (*) at the top, followed by the division operation (/) and the variables T and 11.

3. For the statement A = 10 % 2, the parse tree represents the modulo operation (%) between 10 and 2. The parse tree shows the modulo operation at the top, with the operands 10 and 2 as its children.

Parse trees provide a graphical representation of the syntactic structure of a statement or expression, showing the relationships between the operators and operands. They are useful for understanding the order of operations and the grouping of terms in mathematical expressions.

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Sunday-56 fluid ounces of water require to reach your goal.

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Answer:

4212 square feet.

Step-by-step explanation:

If the blueprint's scale is 1 inch : 9 feet.

Square both sides

(1in)² = (9ft)²

1in² = 81ft²

Given the  gym's  area as 52 square inches, hence;

52in² = x

Divide both expressions

1/52 = 81/x

x = 52 * 81

x = 4212ft²

Hence the area of the actual gym  is 4212 square feet.

Answer:

x=3

Step-by-step explanation:

x^3=27

x^3=3^3

x=3

Answer:

2. 0 or B. 0

Step-by-step explanation:

First you need to find g(6) which is -2 now plug in -2 into the function f. So 6(-2)+12=0

Answer:

900 minutes a week

Step-by-step explanation:

60 minutes makes one hour

3 hours multiplied by 60 minutes is 180 minutes

180 minutes multiplied by 5 days is 900 minutes

Step-by-step explanation:

3 hours *60 minutes= 180 minutes

And if he teaches for 180 mins a day, then in 5 days he will teach:

180 mins*5 days= 900 mins

Answer:

when two things are said to be in inverse proportion , the two things are connected to each other in a particular way that if one thing increases its quantity the other will decrease .

For example : More the number of workers the less time needed to finish the work.

hope this helps you .

Answer:

A direct and inverse proportion is used to show how the quantities and amount are related to each other. For example, if we say, a is proportional to b, then it is represented as 'a∝b' and if we say, a is inversely proportional to b, then it is denoted as 'a∝1/b'.

What is the direct proportion?

Direct proportion is the relationship between two variables whose ratio is equal to a constant value.

Example

The term direct proportion means that two (or more) quantities increase or decrease in the same ratio. For example, in the purple paint mixture, the ratio of blue to red of 4:3. This does not necessarily mean we every mixture would have 4 red and 3 blue cans.

Formula

In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.

What is the indirect proportion?

Inverse proportion occurs when one value increases and the other decreases.

Example

More workers on a job would reduce the time to complete the task. They are inversely proportional.

Formula

The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.

Answer:

The average speed between the times given is 12 m/s

Step-by-step explanation:

Here, we want to calculate rate of change between the times given

Mathematically , we can get the average rate of change using the formula

f(b)-f(a)/b-a

in this case, b = 10 s and a = 5 s

f(b) is d(10) = 0.8(10)^2 = 80

f(a) is d(5) = 0.8(5)^2 = 20

Rate of change is thus;

(80-20)/(10-5) = 60/5 = 12 m/s

Answer:

A

Step-by-step explanation:

nsjsnsnsjsbsbjsbshshsbsjusbbbsjsj

Answer:

Yellow

Step-by-step explanation: add and = t

The numbers that are in the intersection of V and W (VOW) are 1 and 5.

To find the numbers that are in the intersection of sets V and W (V ∩ W), we need to identify the elements that are common to both sets.

Set V consists of all positive odd numbers, while set W consists of the factors of 40.

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.

The positive odd numbers are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, and so on.

To find the numbers that are in the intersection of V and W, we look for the elements that are present in both sets:

V ∩ W = {1, 5}

Therefore, the numbers that are in the intersection of V and W (VOW) are 1 and 5.

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Since the boundary curve is not explicitly given, it becomes difficult to proceed further with the calculation.

To evaluate (∇×F)⋅dS using Stokes' theorem, we need to find the curl of vector field F and calculate the surface integral of the curl dotted with the outward normal vector on the given surface S.

The curl of F is given by ∇×F = (2x-xz, -2yz, -2y+4xy).

Next, we need to calculate the outward unit normal vector n to the surface S. Since n should have a positive k component, we have n = (0, 0, 1).

Now, we can evaluate the surface integral using Stokes' theorem. The surface integral of (∇×F)⋅dS over S is equal to the line integral of F⋅dr along the boundary curve of S. However, since the boundary curve is not explicitly given, it becomes difficult to proceed further with the calculation.

To complete the calculation, we need additional information about the boundary curve or a specific parametrization of the surface S. Without that information, it is not possible to determine the numerical value of the surface integral.

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The binary number 1011011 is equal to the denary number 91.

1011011two is converted to  denary by writing the numbers and assigning powers of 2 from zero to the number of digits available. For the problem, we have zero to six. then multiply out and add

= 1 x 64 + 0 x 32 + 1 x 16 + 1 x 8 + 0 x 4 + 1 x 2 + 1 x 1

this results to

= 64 + 0 + 16 + 8 + 0 + 2 + 1

then the addition is equal to

= 91.

hence, the binary number 1011011 is equal to the denary number 91.

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Answer:-3x-1

Step-by-step explanation:

First we remove the parentheses and we will get 6x+2-9x-3

second, we combined like term 6x and -9x can combine and 2 and -3 can combine we will get 6x-9x and -1

third, we mix it together and can get -3x-1

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

ΔBCD and ΔACE are the similar triangles.

Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.

\(\frac{AC}{BC}= \frac{EC}{DC}\)

\(\frac{AB+BC}{BC}= \frac{ED+DC}{DC}\)

\(\frac{AB+6}{6}= \frac{24+8}{8}\)

\(\frac{AB+6}{6}= \frac{32}{8}\)

\(\frac{AB+6}{6}=4\)

AB + 6 = 24

AB = 18

Option (B) will be the answer.

Answer:

1.3%

Step-by-step explanation:

If we multiply a city's current population by 0.987 to get its population for the next year. Each year, the population decreases by 1.3 percent.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol. The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages.

Suppose x₁ is the population of the year 1. As a result of the given condition the population of a city next year,x₂ is

x₂=0.987 x₁

The decrement in the percentage is found by the following formula,

% r = x₁-x₂/x₂

% r =x₁-0.987x₁/0.987x₁

% r =1.3 %

Thus, if we multiply a city's current population by 0.987 to get its population for the next year. Each year, the population decreases by 1.3 percent.

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The quotient of the expression is 4x+1.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined

Given:

The expression is

\((4x^{2} - 7x - 2) / (x-2)\)

By long division method the following steps are :

Divide the tens column dividend by the divisor. Then Multiply the divisor by the quotient in the tens place column ,Subtract the product from the divisor then at last Bring down the dividend in the ones column and repeat.

We have to find the quotient of the expression.

According to given question we have

\((4x^{2} - 7x - 2) / (x-2)\\\\=(x-2)(4x+1)/(x-2)\\\\=4x+1\)

Therefore, the quotient of the expression is 4x+1.

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To make 4 batches of applesauce, 7 cups of apples are needed.

So the number of cups, of apples in one batch is calculated as by taking the ratio as 4:7 to 1:x . Here xis the number of cups for 1 batch.

So, from the expressions, we can see that,

(A) is correct option,

(B) is correct option,

(E) is correct option

(F) is correct option

As these all corresponds to "7/4"

Answer:

30 inches

Step-by-step explanation:

She has 10 packages of yarn.

She uses 1/3 package of yarn for each inch of the scarf.

Therefore, 1 package of yarn will be 3 times each inch:

3 * 1 = 3 inches

1 package of yarn goes for 3 inches of scarf.

Therefore, 10 packages will go for:

10 * 3 = 30 inches

Answer:

a^2-9

Step-by-step explanation:

Given statement is True: Destructive testing involves subjecting weld samples to loads until they fail.

Destructive testing (DT) is a category of testing that includes subjecting a material or construction to stresses, pressures, and other factors that might induce failure or collapse.

This method is used to acquire data on the quality of materials and their interactions with other substances.However, one of the major downsides of destructive testing is that it is not a reversible process. Furthermore, it is not possible to perform destructive testing on every product. It is most commonly used on prototypes, which can be destroyed without causing harm to a final product.

Destructive testing of welds is a method of testing welds in order to identify flaws and establish their strength. The term "destructive" refers to the fact that the testing process destroys the test samples. The samples, in this case, are welds. The weld is subjected to tension, compression, or bending forces, and its reaction is recorded.

Destructive testing is a type of test that subjects weld samples to loads until they fail. As a result, the test shows the weld's capacity, how much force it can withstand before collapsing, and any flaws it may have. Welders must use weld samples to create welds that are of the highest quality possible.

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Answer:

f(x) = 3x² - 14x - 5

Step-by-step explanation:

multiply the factors: (x + 1/3)(x - 5)

x² - 5x + 1/3x - 5/3

x² -14/3x - 5/3

multiply by 3 to eliminate fractions:

3x² - 14x - 5

The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

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Answer:

f(1) = 45

f(n) = f(n-1)*(4/5)

Step-by-step explanation:

f(1)

= 45(4/5)^(1-1)

= 45(4/5)^(0)          use law of exponents

= 45*1

= 45

f(1) = 45

f(n) = f(n-1)*(4/5)