Please give a step-by-step solution of 2x^2 +12x = 6 (by completing the square)

Therefore, The outer perimeter of the figure is approximately 50.27 units when rounded to the nearest hundredth, using 3.14 as an approximation for pi.

The figure's outer perimeter is the sum of the lengths of all its sides. To find the perimeter, we need to measure each side and add them together. Since we don't have exact measurements, we can use the given information and approximation of pi to estimate the lengths. Once we've estimated the lengths, we can add them up to get the perimeter. Finally, we can round the answer to the nearest hundredth.
To find the outer perimeter of the figure, we need to estimate the lengths of its sides and add them together. The figure is composed of a semicircle, a rectangle, and a quarter circle. We can use the formula for the circumference of a circle to find the lengths of the circular portions and add them to the length and width of the rectangle to get the total perimeter. Using 3.14 as an approximation for pi, we get a perimeter of approximately 50.27 units. Rounded to the nearest hundredth, the outer perimeter of the figure is 50.27 units.

Therefore, The outer perimeter of the figure is approximately 50.27 units when rounded to the nearest hundredth, using 3.14 as an approximation for pi.

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2r-5+6r

Add like terms:

(2r + 6r) - 5

8r - 5

Hey Mate !

Your Answer is given in the snip below !!

Please do mark me as brainliest !!!

(ANSWER=  (D)   \(\frac{1}{6}\) )

Explanation

Answer:

You have a standard number cube.

What is the probability of rolling a number less than 3, and then rolling a prime number?

D. 1/6

The surface area of the new prism is 702 square inches.

Given that,

The area of triangular prism = 78 square inches

Use the fact that the surface area of a similar prism is proportional to the square of the scale factor.

Since,

The new prism is 3 times larger than the original, the scale factor is 3.

Therefore,

The surface area of the new prism will be 3 = 9 times larger than the original prism.

To find the surface area of the new prism, we can multiply the surface area of the original prism by 9,

78 in x 9 = 702 in²

Thus,

Surface area of new prism =  702 in².

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Answer:

I dont have the table I need it to answers

Answer:

Sorry I don't now I'm just grade 6

Answer:

circumference of circular track =2πR

R = 50/2 = 25m

circumference = 2 × 22/7 × (25) = 157.14 ≈ 157m

No. of rounds made = 10

total distance covered = 157 × 10 = 1570m

Option 3) 1570 is correct

Regarding the scales to plot the points on the table, we have that:

To find the ideal scales, we have to verify which are the extrema values of each variable, that is, the minimum and maximum value of each x and y.

From the table, the minimum and maximum values of X are given as follows:

This is a small range of values, hence the horizontal scale should be of 1.

From the same table, second column, the minimum and maximum values of Y are given as follows:

This is a large range of values, hence an ideal vertical scale is of 200, as then the number of traces would be almost the same as the number of traces of x.

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Answer:

B

Step by step solution:

A is an obtuse triangle

B is an acute triangle

C is a scalene triangle

D is an equilateral triangle.

The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

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Answer: x = -26

Step-by-Step Explanation:

14-65 = -25+x

-51 = -25+x

-26 = x

Answer:

A

Step-by-step explanation:

because if x=0

y=4

pls give me brainliest

The function represented by the red graph is -

g(x) = 4 - x⁴

A translation is a movement of the graph either horizontally (parallel to the

x - axis) or vertically (parallel to the y -axis).

Given is the graph of the function -

f(x) = 3 - x⁴

In order to shift the graph upwards by one unit upwards, we will make a new function g(x) such that -

g(x) = f(x) + 1

Therefore -

g(x) = 3 - x⁴ + 1

g(x) = 4 - x⁴

Therefore, the function represented by the red graph is -

g(x) = 4 - x⁴

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Answer:

3 feets

Step-by-step explanation:

Given that :

Entire walkway uses 6 feets of brick

Width of walkway = x

Width of walkway is the same along both sides ;

SINCE, the number of sides of the walkway = 2 and each side is the same

Hence,

x + x = 6 feets

2x = 6 feets

x = 6 feets / 2

x = 3 feets

Answer:

6

Step-by-step explanation:

Answer:

It is correct

The natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model.

There are several transformations of variables to accommodate non-linear relationships in a linear regression model. Three of the common ones are: The natural log-transformation.For a given predictor X, we can create an additional predictor X² to accommodate a quadratic relationship between X and Y.For a given predictor X, we can create an additional predictor X³ to accommodate a cubic relationship between X and Y.Therefore, the natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model. The natural log transformation is the one that's most frequently employed. It changes the distribution of a variable to make it more normal and decrease the impact of outliers. It is common for continuous predictors with right-skewed or exponential distributions, such as income, expenditures, or time. This transformation is most frequently used to help correct non-normal distributions and to correct heterogeneity of variance.

So, the natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model.

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Answer:

44.4 degrees

Step-by-step explanation:

Given the following

Hypotenuse = 7

Longer leg = 5 (adjacent])

Let the acute angle angle between both sides be x

According to SOH CAH TOA

Cos theta = adj/hyp

Cos x = 5/7

x= arccos (5/7)

x = arccos (0.7143)

x = 44.4degrees

Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees

To schedule the tasks on two machines in a way that minimizes the time for both machines to finish their tasks, we can use the "Longest Processing Time" algorithm.

1. Sort the list of times in descending order: (18, 16, 12, 8, 6).

2. Assign the tasks one by one to the machine with the currently shorter total processing time.

  Machine 1: (18) -> Total time: 18

  Machine 2: (16) -> Total time: 16

  Machine 1: (12) -> Total time: 30

  Machine 2: (8) -> Total time: 24

  Machine 1: (6) -> Total time: 36

3. The best time for both machines to finish their tasks is the maximum of the two total times: 36.

the correct answer is:

D) 35 (Incorrect)

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Explanation:

The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.

A solid boundary line means that points on the boundary are part of the solution set.

Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

\(-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\\)

This is false because -20 is not larger than -1. It's the other way around.

This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.

The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.

Answer:

A = 2, B = 3 and C = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 2 ( subtract 2x from both sides )

3y = - 2x + 2 ( divide all terms by 3 )

y = - \(\frac{2}{3}\) x + \(\frac{2}{3}\) ← in slope- intercept form

with slope m = - \(\frac{2}{3}\)

Parallel lines have equal slopes, thus

y = - \(\frac{2}{3}\) x + c ← is the partial equation

To find c substitute (2, 0) into the partial equation

0 = - \(\frac{4}{3}\) + c ⇒ c = \(\frac{4}{3}\)

y = - \(\frac{2}{3}\) x + \(\frac{4}{3}\) ← in slope- intercept form

Multiply through by 3

3y = - 2x + 4 ( add 2x to both sides )

2x + 3y = 4 ← in standard form

with A = 2, B = 3 and C = 4

The O(nv) dynamic programming algorithm determines if it is possible to make change for value v using coin denominations X1, X2, ..., Xn by iteratively updating a boolean array.

To determine if it is possible to make change for a value v using coins of denominations X1, X2, ..., Xn, we can utilize dynamic programming. Here's an O(nv) algorithm:

Create a boolean array dp of size (v + 1), initialized with False values.

Set dp[0] to True, as it is always possible to make change for a value of 0.

Iterate through each coin denomination Xi from 1 to n:

For each coin, iterate through the range from Xi to v:

If dp[j - Xi] is True, set dp[j] to True. This means that we can make change for value j using coins up to denomination Xi.

Finally, return the value of dp[v]. If dp[v] is True, it is possible to make change for value v; otherwise, it is not.

The dynamic programming algorithm builds on the idea that if we can make change for a certain value j - Xi, then we can also make change for value j by adding a coin of denomination Xi. By updating the dp array iteratively, we keep track of the possible values that can be reached using the available coin denominations.

The algorithm has a time complexity of O(nv) since we iterate through n denominations for each value from 1 to v, performing constant time operations in each iteration.

This dynamic programming approach efficiently determines if it is possible to make change for a given value using the provided coin denominations.

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Answer:

answer is D I think

Step-by-step explanation:

.............

The perimeter be 410 then the maximum area be \($A=\left(\frac{410-3 x}{2}\right) * x$$\).

A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.

Let the perimeter be p = 410

The perimeter of the fence is:

p = 2(x + y + 5 + y) + x

p = 2x + 2y + 10 + 2y + x

Collect like terms

p = 2x + x + 2y + 2y + 10

p = 3x + 4y + 10

Where, p = 410, then

3x + 4y + 10 = 410

\($$\begin{aligned}& 4 y=410-10-3 x \\& 4 y=400-3 x\end{aligned}$$\)

simplifying the equation, we get

\($y=\frac{400-3 x}{4}$$\)

The area (A) of the fence is:

\($$\begin{aligned}& A=(y+y+5) * x \\& A=(2 y+5) * x\end{aligned}$$\)

Substitute: \($y=\frac{400-3 x}{4}$\)

\($$\begin{aligned}& A=\left(2 * \frac{400-3 x}{4}+5\right) * x \\& A=\left(\frac{400-3 x}{2}+5\right) * x\end{aligned}$$\)

simplifying the equation, we get

\($A=\left(\frac{400-3 x+10}{2}\right) * x$$\)

\($A=\left(\frac{410-3 x}{2}\right) * x$$\)

\($A=\frac{410 x-3 x^2}{2}$$\)

A = 205x - 1.5 x²

Differentiate both sides, we get

A' = 205-3 x

simplifying the equation, we get

205 - 3x = 0

3x = 205

Therefore, the maximum area be \($A=\left(\frac{410-3 x}{2}\right) * x$$\).

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Answer:

tan x° = 56.31°

Step-by-step explanation:

6/4= 1.5

hence x° = 56.31

Answer:

B

Step-by-step explanation:

So if B is the midpoint of AC, AB must be 1/2 of AC.

If D is the midpoint of AB, it must be 1/2 of 1/2 of AC, which is 1/4 of AC.

So AC= 4 DB

The probability that they are the 4 oldest people in the group = 4/9

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

the group of people = 9

you randomly select 4 of them

the probability that they are the 4 oldest people in the group?

According to the formula :

Probability = expected number of outcome/Total number of outcome

If there are group of 9 people, then the total outcome of events will be 9.

If we are to select 4 oldest people from the group, then the expected outcome is 4.

So,

The probability that they are the 4 oldest people in the group = 4/9

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Solution:

Given:

Since it is a square tile, the perimeter is the perimeter of a square.

Hence, the perimeter of a square is;

Therefore, the tile's perimeter is 20 inches.

The number of students in the telescope club by $x$ and the number of students in the math club by $y$.

$y=2x$Now, suppose there are $z$ students who are members of both clubs. Then the total number of students who are in the math club or the telescope club (or both) is given by:$x + y - z$ Substituting $y=2x$ in the above expression, we get:$x + 2x - z=3x - z$ Hence, the expression for the total number of students who are in the math club or the telescope club (or both) is $3x - z$.b)The number of students who are in the math club but not in the telescope club is given by:$y-z$ And the number of students who are in the telescope club but not in the math club is given by:$x-z$ Adding these two expressions, we get the total number of students who are in the math club or the telescope club but not both:$ y-z+x-z $.

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