Which of the following is an expression? *
4x = 12
25 - 12 = 13
7x - 3 + 2y =29
3m

-71 points-

Answer:

  1) 28,160.33 J

  2) 30.99 m/s

Step-by-step explanation:

Kinetic energy is given by the formula ...

  KE = 1/2mv^2 . . . . . m represents mass

  KE = (1/2)(34 kg)(40.7 m/s)² = 28,160.33 J

__

The potential energy is converted to kinetic energy.

  mgh = 1/2mv² . . . . m represents mass

  v = √(2gh) . . . . . . m cancels when we multiply by 2/m.

  v = √(2·9.8 m/s²·49 m) ≈ 30.99 m/s . . . . . m represents meters

The speed at the bottom is about 30.99 m/s.

_____

Additional comment

Rounding to 2 significant digits, the answers would be ...

  28,000 J

  31 m/s

The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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Answer:

the answer is 32 lawns in 12 hours!

Step-by-step explanation:

3 hours = 8 lawns

6 hours = 16 lawns

9 hours = 24 lawns

12 hours = 32 lawns

Hope thus helped

Answer:

32

Step-by-step explanation:

Step 1:

8 : 3 = x : 12      Ratio

Step 2:

3x = 96    Multiply

Step 3:

96 ÷ 3      Divide

Answer:

32 lawns

Hope This Helps :)

Answer:

#8- step 1- 2•4=8, step 2- 8+3=11, step 3- 2 3/4= 11/4

Step-by-step explanation:

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Answer:

Step-by-step explanation:

(-1, 0) (0,3)

(3-0)/(0+1)

3/1 = 3

y - 0 = 3(x + 1)

y = 3x + 3

Check the picture below.

to get the equation of any straight line, we simply need any two points off of it, so let's use those two from the picture.

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-3)}}} \implies \cfrac{9 +6}{2 +3} \implies \cfrac{ 15 }{ 5 }\implies 3\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)}) \\\\\\ y+6=3(x+3)\implies y+6=3x+9\implies y=3x+3\)

Answer:

B, Rectangle.

Answer:

Step-by-step explanation:

24

Answer:

24

Step-by-step explanation:

1 x 2 x 3 x 4 = 2 x 3 x 4

= 6 x 4

= 24

Answer: B (-1,4)

Step-by-step explanation:

The earnings-to-stock-price ratio in simplest terms is 20.

Here given,

Stock price = $55.00

Earnings per share = $2.75

We have to find ratio od earnings,

The formula is,

Ratio is : P/E

By substituting the values,

Ratio = $55.00 / $2.75

         = 20

Answer:

Sides: SV, SW   Vertex: S

Step-by-step explanation:

Tell me if I got something wrong

Option B is the correct answer.

The correct answer to the given question is Option B, which is "I would replace the missing values with the average value of that specific variable."What are Data Preparation activities?Data preparation activities consist of operations that change the quality, consistency, or completeness of data. These are performed to improve the data's accuracy and, as a result, the resulting insights.When it comes to numerical data, there are certain techniques you can use to deal with missing data. There are many ways to deal with missing numerical data, but one of the simplest is to use the mean or median value of the dataset to replace the missing values. This method is also known as mean imputation.Therefore, if during the data preparation activities, you have identified a small amount of missing numerical data, you should replace the missing values with the average value of that specific variable. Therefore, Option B is the correct answer. The other options such as excluding all observations with missing data, excluding all variables with missing data, and none of the above is true are not accurate.

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The half life period is the time in which only half of the given population remains. It can be represented through this equation:

\(f(t)=a\times(1/2)^{\frac{t}{h}}\)

We're given:

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

84 million years

Answer:18

Step-by-step explanation:

A subset of a population used by statisticians to make predictions about a population is called a sample.

a sample is a smaller, representative group selected from the larger population. The sample is used to gather data and make inferences about the entire population. By analyzing the sample, statisticians can make predictions about the characteristics, trends, or behaviors of the population without having to study every individual within it. This method saves time, resources, and effort while still providing accurate results.

A sample is a crucial tool in statistical analysis, allowing statisticians to make informed predictions about a population based on the study of a smaller, representative subset.

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Answer:

perfect square

Step-by-step explanation:

hope this helps plz give brainliest.

Answer:

x=30

Step-by-step explanation:

that's a 90º angle so 90÷3=30

The dependance on experience is reflected in the syntactic distinction between prior probability statements.

syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.

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The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

We have,

In a rhombus,

The opposite angle is congruent.

So,

(56 + 56) = ∠1 + ∠2

And,

∠1 and ∠2 are equal angles.

So,

112 = 2∠1

∠1 = 56

∠2 = 56

Now,

All four angles in side the rhombus = 360

112 + 112 + ∠x + ∠x = 360

2∠x = 360 - 224

2∠x = 136

∠x = 68

This ∠x is the angle inside the rhombus.

And, ∠x/2 = ∠3 = ∠4

So,

∠3 = 68/2 = 34

∠4 = 34

Thus,

The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

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100 is the least number of sheets of each type he might buy given that reptile stickers come in sheets of 10 and fish stickers come in sheets of 25 and Antonio buys the same number of both types of stickers and he buys at least 100 of each type. This can be obtained by finding LCM(Least Common Multiple) of 10 and 25 and identifying the multiple nearest to 100.

Here in the question it is given that,

We have to find the least number of sheets of each type he might buy.

First we have to find the LCM(Least Common Multiple) of 10 and 25

10 = 2 × 5

25 = 5 × 5    

LCM(10,25) = 2 × 5 = 50  

But  he buys at least 100 of each type, then we recall the multiples of 18 to find the least number which is nearest to 100.

Multiples of 50 = 50, 100, 150,...

The number nearest to 100 is 100 itself.

Hence 100 is the least number of sheets of each type he might buy given that reptile stickers come in sheets of 10 and fish stickers come in sheets of 25 and Antonio buys the same number of both types of stickers and he buys at least 100 of each type.

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Yes the pre image and image are congruent always

See

They are transformed through a constant scale factor so they ought to be same .

And

If there angles of one triangle (pre image) are congruent to rest three(image) then triangles are congruent by AAA congruence

The Highest Common Factor (HCF) of 18, 36 and 120 is 6.

A factor is a number that divides another number, leaving no remainder.

Given that, we need to find HCF of 18, 36 and 120.

Finding Factors :-

18 = 2 × 3 × 3

36 = 2 × 2 × 3 × 3

120 = 2 × 2 × 2 × 3 × 5

Common factors = 2 and 3

Therefore,

Highest Common Factor = 2 × 3 = 6

Hence, the Highest Common Factor (HCF) of 18, 36 and 120 is 6.

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The partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned.

The given water wave function is graphed as z = 1 + sin(x - y) using Mathematica. The crests and troughs of the wave are aligned in the direction of zero change in the height function, which can be determined by analyzing the partial derivatives. The steepest descent from a crest to a trough corresponds to the direction perpendicular to the alignment of crests and troughs. These conclusions are consistent with the graph of the wave.

The water wave function z = 1 + sin(x - y) represents a snapshot of a frozen water wave. To graph this function using Mathematica, the x and y coordinates are assigned appropriate ranges, and the resulting z-values are plotted.

To determine the alignment of the crests and troughs, we examine the rate of change of the height function. Taking the partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned. Setting dz/dx = 0 gives cos(x - y) = 0, which implies x - y = (2n + 1)π/2, where n is an integer. This equation represents lines in the xy-plane along which the crests and troughs are aligned.  

For the steepest descent from a crest to a trough, we need to find the direction of maximum decrease in the height function. This direction corresponds to the negative gradient of the height function, which can be obtained by taking the partial derivatives dz/dx and dz/dy and forming the vector (-dz/dx, -dz/dy). Simplifying this vector, we get (-cos(x - y), cos(x - y)), which represents the direction perpendicular to the alignment of crests and troughs.    

Upon examining the graph of the wave, we can observe that the lines of alignment for the crests and troughs match the lines where the height function has zero change, confirming our conclusion from part (b). Similarly, the direction of steepest descent from a crest to a trough, indicated by the negative gradient, aligns with the steepest downward slopes on the graph.

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Answer:

4: 32a^5 5: 2a / bc^2

Step-by-step explanation:

4. (2a)^3 / (2a)^-2

  = (2a)^3 * (2a)^2

     = 8a^3 * 4a^2

         = 32a^5

5. 10a^7 b^9 c^6 / 5a^6 b^10 c^8

    = 2a^7 b^9 c^6 / a^6 b^10 c^8

      = 2a / bc^2

The 98% confidence interval for the population mean is (151.02, 178.98).

To find the 98% confidence interval for the population mean using the given information, follow these steps:

1. Identify the sample size (n), sample mean (x), and population standard deviation (σ).

In this case, n = 225, x = 165, and σ = 90.

2. Determine the confidence level (CL).

In this case, CL = 98% or 0.98.

3. Find the critical value (z) corresponding to the given confidence level using a standard normal (z) table or calculator.

For a 98% confidence level, z ≈ 2.33.

4. Calculate the standard error of the mean (SE) using the formula:

SE = σ/√n. In this case, SE = 90/√225 = 90/15 = 6.

5. Calculate the margin of error (ME) using the formula:

ME = z * SE. In this case, ME = 2.33 * 6 = 13.98.

6. Determine the confidence interval by adding and subtracting the margin of error from the sample mean: (x - ME, x + ME).

In this case, the 98% confidence interval for the population mean is (165 - 13.98, 165 + 13.98) = (151.02, 178.98).
Hence, the 98% confidence interval for the population mean, given a sample of 225 elements with a standard deviation of 90 and a sample mean of 165, is approximately (151.02, 178.98).

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Answer:

x=4b/3

Step-by-step explanation:

Simplify 4(x - b) = x

Then Move all terms containing x  to the left side of the equation.

so -4b+3x=0

Add 4b to both sides of the equation.

so 3x=4b

Divide each term by 3 and simplify!

Answer: x=-4

Step-by-step explanation:

1. Simplify:

-(x-1)=5 => -x+1=5

Isolate x:

-x=5-1 => -x=4 => x=-4

Blank 1: 2 Blank 2: 40

Step-by-step explanation:

First, to get the unit rate we divide 24 cookies by 3 to get 8.

For every 1 stick of butter there’s 8 cookies.

therefore implying that 16/8 is 2 sticks of butter. Because 8 plus 8 is 16.

If we have 5 sticks of butter, that’s 5 times the unit rate, 8 for a total of 40.

Answer:

The app doesn't like me today but the answers in the screenshot

Step-by-step explanation:

The solution that satisfies both line graphs is known as the point of intersection. In other words, it is the point where both lines cross each other. This point represents the values of the variables that make both equations true simultaneously. To find the point of intersection, you can graph both lines on the same coordinate plane and locate where they cross.

Alternatively, you can solve the system of equations algebraically using techniques such as substitution or elimination.

Once you have found the point of intersection, you can verify that it satisfies both equations by plugging in its coordinates into each equation and ensuring that they both yield a true statement. The point of intersection is the unique solution that satisfies both equations, as it is the only point where both lines intersect. If the lines do not intersect (i.e., they are parallel), then there is no solution that satisfies both equations. If the lines are the same (i.e., they overlap), then there are infinitely many solutions that satisfy both equations.

In summary, the solution that satisfies both line graphs is the point of intersection, which can be found either graphically or algebraically. It is the unique point that makes both equations true simultaneously and represents the values of the variables that satisfy both equations.

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Answer:

(in image attached)

Step-by-step explanation:

A.

Left: 6×-3

Right: -3×-2

Bottom: 6×-2

B.

48÷6 = 8

-42÷6 = -7

-56÷8 = -7

-56÷-7= 8