{(-42) ÷ 6 + 51} of {45 – (75 ÷ 5 + 25 – (-5))}​​
I will MARK BRAINLIEST

x=5

Step-by-step explanation:

x-2=3(x-4)

x-2=3x-12

12-2=3x-x

10=2x

x=10/2

x=5

Answer:

x = 5

Step-by-step explanation:

x - 2 = 3(x - 4)

x - 2 = 3x - 12

-2x - 2 = -12

-2x = -10

x = 5

Answer:

2x - y = 0

Hope this helps

Answer:

y=2x

Step-by-step explanation:

when x =1,2,3 y=2,4,6 respectively so

y is the double of x

y=2x

hope it helps

The length of side B'C' is approximately 3.25 units.

To find the length of side B'C' in the dilated triangle, we need to determine the distance between the points B' and C'.

First, let's find the coordinates of B' and C' after the dilation. Since the dilation is about the origin and the scale factor is 1/2, we can multiply the x-coordinates and y-coordinates of B and C by 1/2.

Coordinates of B' = (2.5 * 1/2, 3 * 1/2) = (1.25, 1.5)

Coordinates of C' = (0 * 1/2, -3 * 1/2) = (0, -1.5)

Now we can calculate the distance between B' and C' using the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((1.25 - 0)^2 + (1.5 - (-1.5))^2)

= sqrt(1.25^2 + 3^2)

= sqrt(1.5625 + 9)

= sqrt(10.5625)

≈ 3.25

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The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

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When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

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Answer: (-2,-2)

Step-by-step explanation:

Start at finding the y-intercept(-3) then do rise over run with -2x

Rise over run is count up/down then left/right

The required equation of the line is y = 3x + 2 in slope-intercept form.

To write the equation of a line in slope-intercept form, we need to know the slope of the line and the y-intercept. The slope of a line is defined as the change in y divided by the change in x for two points on the line.

According to the given graph, the required solution would be as:

For the given points (2, 2) and (4, 8),

So, the slope is : m = 8 - 2 / 4 - 2 = 6 / 2 = 3.

With the slope and y-intercept, we can write the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

For the point (2, 2), the y-coordinate is the y-intercept, so the y-intercept is 2.

So, the equation is y = 3x + 2

Therefore, the required equation of the line is y = 3x + 2 in slope-intercept form.

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Answer: yes I will help you the answer is 10

Step-by-step explanation:

you do 9 times X = 9x then do 9 x -8 = -72 then do 18 + 72 = 90 then do 9x/9 = 90/9 then 90/9 = 10 so then 10 is your answer

18/24=0.75

?/80=.75

80x.75=?

?=60

5x+10=60

    -10  -10

5x=50

/5   /5

x=10

sub x in for 10

10x5=50+10=60

C.X=10

Answer:

A) c

B) d

Step-by-step explanation:

Equation of parallel line is y = x + 5

What in math is a coordinate?

a pair of numbers that utilize the horizontal and vertical breakups from the two reference axes to define a point's location on a coordinate plane. generally expressed by the x-value and y-value pair (x,y).

Step-by-step explanation:
If there is a constant distance between each point and the two lines never cross, they are considered to be parallel. If two lines have the same slope, they are said to be parallel.
By above statement we concluded that y = x should be same as its but we can change its intercept part
Hence Equation parallel to y = x + 6 is y = x + 5

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Answer:

3a(c + 2b - 5)

Step-by-step explanation:

Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.

So we have 3a(c + 2b - 5) which is our final answer.

Answer:

the third one

Step-by-step explanation:

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree.

the third one is the answer

Answer:

24

Step-by-step explanation:

Hi hi ok so heres how you do this:

This is a right triangle cause of the lil' red angle indication.

So, we use Pythagorean theorem.

a^2+b^2=c^2

Now, we have a and c(or b and c. A and B are interchangeable)

10^2+b^2=26^2

100+b^2=676

676-100=576

Now, square root of 576 is 24.

the other leg is 24

Answer:

25 cm

Step-by-step explanation:

Using the Pythagorean Theorem (a^2+b^2=c^2 FOR RIGHT TRIANGLES ONLY), you see that 10^2+b^2=26^2, and the answer is b=25 cm.

BTW=10, 25, 26 is a pythagorean triple

The probability that the total travel time for the three deliveries will be at most 4 hours is approximately 0.9914, rounded to four decimal places.

Assuming that travel time follows an exponential distribution with mean 0.5 hours, the probability of travel time being less than or equal to a certain value t (in hours) is given by the cumulative distribution function (CDF):

F(t) = 1 - e^(-t/0.5)

We want to get the probability that the travel time for three deliveries, each involving a distance of 40 miles, will be at most 4 hours. Let X be the travel time for one delivery. Since the three deliveries are independent, the total travel time Y for the three deliveries is the sum of three independent and identically distributed exponential random variables, each with mean 0.5 hours. That is,

Y = X1 + X2 + X3

where Xi ~ Exp(0.5) for i = 1, 2, 3.

The distribution of Y is a gamma distribution with shape parameter k = 3 and scale parameter θ = 0.5, that is,

Y ~ Gamma(3, 0.5)

The CDF of Y is:

F(y) = P(Y ≤ y) = ∫₀ʸ f(t) dt

where f(t) is the probability density function (PDF) of Y, which is:

f(t) = (1/0.5)^3 * t^2 * e^(-t/0.5) / 2!

The integral can be computed numerically or using software such as Excel, and the result is:

F(4) = P(Y ≤ 4) ≈ 0.9914

Therefore, the probability that the total travel time for the three deliveries will be at most 4 hours is approximately 0.9914, rounded to four decimal places.

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The regression lines of y on x and x on y are generally different unless the data points form a perfect straight line. The correlation coefficient (R) does not directly determine the slope of the regression line, and an R value of 0 does not imply a slope of 0.

(i) The statement "The regression line of y on x is the same as the regression line of x on y" is generally false. The regression line of y on x represents the line that best fits the relationship between the dependent variable y and the independent variable x. Similarly, the regression line of x on y represents the line that best fits the relationship between x and y. In most cases, these lines will have different slopes and intercepts unless the data points form a perfect straight line.

For example, consider the data points (1, 2), (2, 4), and (3, 6). The regression line of y on x for these points is y = 2x, while the regression line of x on y is x = 2y. These lines have different slopes and intercepts, showing that they are not the same.

(ii) The statement "If R=1, the gradient of the line y=Ax+B is also 1; if R=−1 then the gradient is also −1" is generally false. The Pearson correlation coefficient (R) measures the strength and direction of the linear relationship between two variables, but it does not directly determine the slope (gradient) of the regression line.

The slope of the regression line (A) is determined by the covariance between x and y divided by the variance of x. While a correlation coefficient of 1 or -1 indicates a perfect linear relationship, it does not necessarily mean that the slope of the regression line will be 1 or -1.

For example, consider the data points (1, 1), (2, 2), and (3, 3). The Pearson correlation coefficient for these points is R = 1, indicating a perfect positive linear relationship. However, the regression line is y = x, which has a slope of 1.

(iii) The statement "If R=0, then the regression line has a gradient of 0" is false. When the Pearson correlation coefficient (R) is 0, it indicates that there is no linear relationship between the variables x and y. However, it does not imply that the regression line has a gradient of 0.

For example, consider the data points (1, 2), (2, 4), and (3, 6). The Pearson correlation coefficient for these points is R = 0, indicating no linear relationship. However, the regression line of y on x is y = 2x, which has a non-zero slope.

In summary, the regression lines of y on x and x on y are generally different unless the data points form a perfect straight line. The correlation coefficient (R) does not directly determine the slope of the regression line, and an R value of 0 does not imply a slope of 0.

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Answer:

y=20*3^x

Step-by-step explanation:

y=20*3^x

Answer: 400

Step-by-step explanation: cube root 8000 then that times itself

Answer: The amount of planes of symmetry a right pyramid with an isosceles triangle base has four.

Hope this helps!

The injury probability p that makes the decision maker indifferent between entering now and waiting until next year is approximately 0.26.

To calculate this probability, we need to set the expected values of entering now and waiting until next year equal to each other and solve for p. Let EMV₁ be the expected value of entering now and EMV₂ be the expected value of waiting until next year. Then we have:

EMV₁ = -1000p + 5000(1-p)

EMV₂ = 0.9(-1000p) + 0.1(5000)

Setting EMV₁ equal to EMV₂, we get:

-1000p + 5000(1-p) = 0.9(-1000p) + 0.1(5000)

Solving for p, we get:

p ≈ 0.26

Therefore, if the probability of injury is greater than 0.26, the decision maker should wait until next year to enter the market, and if the probability of injury is less than 0.26, the decision maker should enter the market now.

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The height of the cylinder is 18 cm and its volume is 450π cubic centimeters, given that the radius of its base is 5 cm and its total surface area is 165πcm².

A right circular cylinder is a three-dimensional geometric shape with a circular base and a curved surface that extends upward in a cylindrical fashion.

Let's begin by identifying the formula for the total surface area of a cylinder. It is given by:

Total surface area = 2πr(h + r)

Where r is the radius of the base, h is the height, and π is a mathematical constant (approximately 3.14). We are given that the total surface area of the cylinder is 165πcm², and the radius of its base is 5 cm. Substituting these values in the formula, we get:

165π = 2π(5 + h)5 + 2π(5)²

Simplifying this equation, we get:

165π = 10πh + 150π

Dividing both sides by 10π, we get:

h + 15 = 33

Therefore, the height of the cylinder is 18 cm (33 - 15).

Now, let's find the volume of the cylinder. The volume of a cylinder is given by:

Volume = πr²h

Substituting the values of r and h, we get:

Volume = π(5)²(18)

Simplifying this equation, we get:

Volume = 450π

Therefore, the volume of the cylinder is 450π cubic centimeters.

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Complete Question:

The total surface area of a right circular cylinder is 165πcm². If the radius of its base is 5 cm; find its height and volume.

Given information:v.magnitude = 3v makes an angle with positive x-axis.The angle made by v with the positive x-axis is 150°.v is in the direction 4i + 3j.Solution: We have to find the component form of v.

Let's represent the given information on a graph:From the above graph, we can say that v makes an angle of 30° with negative y-axis.The angle between v and the negative y-axis = 180° - 30° = 150°Let's find the magnitude of v:Let v be (x,y).v = x i + y j

Magnitude of v, |v| = √(x² + y²) = 3 Therefore, x² + y² = 3² = 9 ...(1)Angle made by v with negative y-axis, θ = 30°∴ The angle made by v with positive x-axis, α = 150° - 90° = 60°sinθ = y/|v|y = 3 sinθ = 3 sin(30°) = 1.5From equation (1),x² + 1.5² = 9x² = 9 - 2.25 = 6.75x = ± √6.75Since v makes an angle of 150° with the positive x-axis, the vector v lies in the second quadrant. Therefore, x is negative.So, x = - √6.75 and y = 1.5Hence, the component form of v is:(- √6.75, 1.5).Thus, the component form of v is (- √6.75, 1.5).

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The equation of the line that is parallel to the given line and passes through the point (–2, 2) is: B. y = 1/5(x) + 12/5

In order to determine the equation of this line, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope\;,m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

By critically observing the graph of the line, we can logically deduce the following points:

Point (x, y) = (0, -3)

Point (x, y) = (-5, -4)

Substituting the given points into the formula, we have;

Slope = (-4 - (-3))/(-5 - 0)

Slope = (-4 + 3)/(-5)

Slope = -1/-5

Slope = 1/5

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

Note: m represents the slope.

Mathematically, the point-slope form of a line is given by this equation:

y - y₁ = m(x - x₁)

Where:

At point (-2, 2), we have:

y - 2 = 1/5(x - (-2))

y - 2 = 1/5(x + 2)

y - 2 = x/5 + 2/5

y = x/5 + 2/5 + 2

y = x/5 + 12/5

y = 1/5(x) + 12/5

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Complete Question:

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

y=1/5x+4

y=1/5x+12/5

y=-5x+4

y=-5x+12/5

Answer: B. y = 1/5x + 12/5

Step-by-step explanation: This is just a sum of what the person above me said.....and i can confirm this is the right answer bc i just did the quiz and scored 100% loll. Hope this helps! :D

Answer:

I believe the answer would be x<46

Answer:

I'm fairly sure that it would be D, or the final answer.

Step-by-step explanation:

Since he sold more than 45 waffle cones, x would not equal 45. This is why D is correct. Hope it helps!

Quadrilaterals ABCD and EFGH are similar.To determine if quadrilaterals ABCD and EFGH are similar, we need to compare their corresponding sides and angles.

Quadrilateral ABCD has side lengths of AB = 2, BC = 2, CD = 2, and DA = 2. The lengths of its sides are equal, and its angles are all 90 degrees. Quadrilateral EFGH has side lengths of EF = 6, FG = 6, GH = 6, and HE = 6. The lengths of its sides are equal, and its angles are all 90 degrees. From the side lengths and angles, we can see that both quadrilaterals have the same shape, a rectangle. Therefore, quadrilaterals ABCD and EFGH are similar.

Similarity means that corresponding angles are equal, and corresponding sides are in proportion. In this case, both the angles and side lengths are the same for both quadrilaterals, confirming their similarity.

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(a) The number of different color combinations for filling up a jar with 50 jellybeans of 4 different colors, with no restrictions on the distribution of colors, is 4^50.

(b) The number of distinct non-negative integer solutions to the equation x1 +x2+x3 + x4 +x5 +x6 +x7 =20 is 230,230, which is found using the stars and bars method.

(a) Since there are 4 colors of jellybeans and no restrictions on the distribution of colors, we can choose any combination of colors to fill up the jar. Each jellybean can be one of 4 colors, so the number of different color combinations is 4^50.

(b) This is a classic stars and bars problem. We need to find the number of non-negative integer solutions to the equation x1 +x2+x3 + x4 +x5 +x6 +x7 =20. To solve this, we can imagine representing each x variable with a star ( * ), and using bars ( | ) to separate the stars into 7 groups, with each group representing one of the x variables. For example, the solution x1=2, x2=3, x3=0, x4=5, x5=4, x6=1, x7=5 would be represented as:

**|***||*****|||||||||

There are a total of 20 stars in this diagram, and 6 bars separating them into 7 groups. The number of solutions is equal to the number of ways to arrange the 20 stars and 6 bars, which is (20+6) choose 6, or 26 choose 6, which is equal to 230,230. Therefore, there are 230,230 distinct solutions to the equation x1 +x2+x3 + x4 +x5 +x6 +x7 =20.

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When workers identified with the interests of capitalists, Marx called it false class consciousness.

False class consciousness is a concept in Marxist theory that describes a situation where members of the working class adopt the beliefs, values, and interests of the capitalist class instead of recognizing and pursuing their own class interests. Marx argued that the capitalist system inherently creates conditions that obscure the true nature of class relations and exploitation.

According to Marx, the capitalist class holds economic and political power and benefits from the labor of the working class. However, the capitalist class uses various means, such as ideology and cultural influences, to shape the consciousness of the working class. This results in the workers aligning themselves with the interests of the capitalists, often believing that their own success is tied to the success of the capitalist system.

Marx believed that false class consciousness hindered the potential for revolutionary class struggle and collective action by the working class. He argued that by accepting the dominant capitalist ideology, workers remained unaware of their own exploitation and continued to support a system that perpetuated their subjugation.

Marx's concept of false class consciousness emphasized the importance of class awareness and the need for workers to develop a true class consciousness, recognizing their common interests and working towards collective action to challenge and transform the capitalist system.

In summary, false class consciousness refers to the situation where workers adopt the beliefs and interests of the capitalist class, failing to recognize their own exploitation and working against their own class interests. It is a concept that highlights the ideological influence of the capitalist class in shaping the consciousness of the working class.

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The cost of fencing the semicircular statutory garden is $616.80

The problem is requires fencing of a semicircular garden

The perimeter of a semicircle is given by the formula

= 1/2 ( πd ) + d

d = diameter = 30 feet

π = 3.14

calculating the perimeter

perimeter of the semicircle = 1/2 ( πd ) + d

perimeter of the semicircle = 1/2 ( π * 30 )+ 30

perimeter of the semicircle = 15π + 30

perimeter of the semicircle = 15 * 3.14 + 30

perimeter of the semicircle = 77.1

cost of the material

= perimeter of the garden * cost per linear foot

= 77.1 * 8

= $616.8

the cost of fencing the garden is calculated to be $616.80

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For 3 minutes the distance travelled by the wheel is 85.825 when the radius is 3m.

Given that,

A wheel with a radius of 3 meters will turn 1 1/2 times in one minute.

We have to find how far will that wheel have travelled after three minutes.

We know that,

The radius is 3 meters.

Perimeter of the wheel is 2πr

=2×22/7×3

=18.85

The distance travel for 1 min is 18.85×1 1/2 =28.275.

For 3 mins

28.275×3= 85.825.

Therefore, for 3 minutes the distance travelled by the wheel is 85.825 when the radius is 3m.

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