Answer fast pleaseee, Solve the following system of equations: y= -5x +1 and y= -x-3

Answer:

The weight in kilograms of a 150 pound person is 68.039 kg

Step-by-step explanation:

Weight = 150 pounds.

We need to convert this to kg,

Now, 1 pound = 0.453592 kg.

Then, 150 pounds will be,

150 pounds = 150(0.453592) kg

So, 150 pounds = 68.039 kg

The weight of a 150 pound person is approximately 68.04 kilograms.

To convert the weight of a person from pounds to kilograms, we can use the conversion factor of 1 pound = 0.4536 kilograms.

Given that the person weighs 150 pounds, we can multiply this value by the conversion factor to find the weight in kilograms:

Weight in kilograms = 150 pounds * 0.4536 kilograms/pound

Weight in kilograms = 68.04 kilograms

Therefore, the weight of a 150 pound person is approximately 68.04 kilograms.

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The output of 0.7326 represents the test statistic (Z-score) computed from the 1-sample Z-test in Excel.

It tells you how many standard deviations the sample mean is from the population mean under the null hypothesis.

A test statistic (Z-score) is a numerical value used in statistical hypothesis testing to assess the evidence against the null hypothesis.

A test statistic measures the difference between a sample statistic (eg sample mean) and the corresponding population parameter (eg population mean) assuming the null hypothesis is true.

For the Z-test, the test statistic is computed as

z = (x - μ) / (σ / √n)

where x = sample mean,

μ = population mean,

σ= population standard deviation,

and n = sample size.

The resulting Z-score indicates how many standard deviations the sample mean is from the population mean, assuming the null hypothesis is true.

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Answer:

-1±√3,(1±4√2)/2, (2±3√2)/2,1±√3

Step-by-step explanation:

Simplify the roots, and simplify the fraction.

For example, for x=(-4±√48)/4, you can simplify √48 to be √16 * √3, which is just 4·√3 or 4√3. Now, the original fraction is (-4±4√3)/4, which can be simplified to -1±√3. Solve the other problems using the same method.

2. (1±4√2)/2

3.(2±3√2)/2

4. 1±√3

Answer:

● to make n subject you first cross m^2 to the other side

● then divide both sides by the coefficient of n^2

● then take the square root of both sides

\( \\y = {m }^{2} - {4n}^{2} \\ y - {m }^{2} = {4n}^{2} \\ taking \: square \: root \: of \: bothsides\\ \sqrt{\frac{y - {m}^{2}}4} = n \\ solved.\)

Answer:

5 and 7

Step-by-step explanation:

Let the two numbers be x and x + 2.

According to Question ,

\(\implies x + x + 2 = 12 \\\\\implies 2x = 12 -2 \\\\\implies 2x = 10 \\\\\implies x =\dfrac{10}{2}\\\\\implies\boxed{ x = 5 }\)

Hence the nos . are 5 and 7

Yes. \(f(x)\) is a PDF if

• \(f(x) \ge 0\) for all \(x\) in the support; this is true, since \(e^{-x}>0\) for all \(x\), and multiplying a positive number \(x\) doesn't change this fact;

• the integral of \(f(x)\) over its support is 1; this is also true, since

\(\displaystyle \int_{-\infty}^\infty f(x) \, dx = \int_0^\infty xe^{-x} \, dx = 1\)

which can be computed by parts.

Answer: p < \(-\frac{11.1}{3}\)

Step-by-step explanation:

     To solve, we will isolate the p variable.

Given:

     -3p + 6.7 > -4.4

Subtract 6.7 from both sides of the equation:

     -3p > -11.1

Divide both sides of the equation by 3:

Note, you must switch the sign since you're dividing by a negative.

     p < \(-\frac{11.1}{3}\)

Answer:

p < 3.7

Step-by-step explanation:

-3p + 6.7 > -4.4

1- subtract 6.7 to leave -3p alone

-3p + 6.7 -6.7 > -4.4 - 6.7

-3p > -11.1

2- Divide both sides by -3. NOTE; u must change the > sign to < because u r dividing by a negative

-3p/-3 = p

-11.1/-3= 3.7

p < 3.7

The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

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Answer:

3 units up

Step-by-step explanation:

when the y intercept goes u, so does the line

Answer: 1/3

aka:33.33%

Step-by-step explanation:

3/9=1/3

=====================================================

Explanation:

The parent function y = |x| has its vertex at the origin (0,0). This is the lowest point on the V shaped graph.

The -2 at the end will shift every point 2 units down. This is because we're subtracting 2 from the y coordinate of each point.

So the vertex (0,0) moves down to (0, -2)

The graph is below.

The antiderivative of the function is F(x) = 4x + 5x^3 + 3x^5 - 12.

To find the antiderivative F(x) for F′(x) = f(x) = 4 + 15x^2 + 15x^4, and given F(1) = 0, follow these steps,
1. Find the antiderivative of f(x) with respect to x:
F(x) = ∫(4 + 15x^2 + 15x^4) dx

2. Integrate each term separately:
F(x) = ∫4 dx + ∫15x^2 dx + ∫15x^4 dx

3. Calculate the antiderivatives:
F(x) = 4x + (15/3)x^3 + (15/5)x^5 + C

4. Simplify:
F(x) = 4x + 5x^3 + 3x^5 + C

5. Use the given condition F(1) = 0 to find the value of C:
0 = 4(1) + 5(1)^3 + 3(1)^5 + C

6. Solve for C:
C = -12

7. Substitute the value of C back into F(x):
F(x) = 4x + 5x^3 + 3x^5 - 12

The antiderivative is F(x) = 4x + 5x + 3x - 12 as a result.

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As per the following graph, the slope is 66.67 and the y intercept is 1000.

Graph:

The graph is used  to present data that are too numerous or complicated to be described adequately in the text and in less space.

Given,

The Vera family is traveling from Philadelphia to Orlando for vacation the equation Y = 1000-65X represents the distance in miles.

Here we need to find the slope and the y intercept.

For the given equation, we have to plot the graph to identify the y intercept.

If we plot the given equation then we get the following graph.

Through the graph we have identified that, the value of y intercept is 1000.

Then the next thing we have to do is to find the slope of the lien for that we have to take the two sample point from the graph.

They are,

(0,1000) and (6,600)

Then the slope of the line is calculated through the formula,

m = (600 - 1000)/6 - 0

m = -400/6

m = 66.67

Therefore, the slope of the line is 66.67.

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Answer: C. It has reflectional symmetry with five lines of symmetry.

The five lines of symmetry are shown in the diagram below. Each line splits a flower petal in half. Each line also splits the entire flower in half. In other words, reflecting one half of a flower over any given line of symmetry, generates the other half of the flower.

The correct answer is C. The given figure has reflectional symmetry with five lines of symmetry.

Symmetry refers to the property of an object remaining unchanged when certain transformations are applied to it.

A. Point symmetry, also known as rotational symmetry, means that the object looks the same when rotated by a certain angle around a central point. However, a given figure does not have point symmetry since it does not look the same when rotated by any angle around a central point.

B. The statement that the flower has rotational symmetry with an angle of rotation of 120° is incorrect because, as mentioned above, it does not possess rotational symmetry.

C. The flower does have reflectional symmetry with five lines of symmetry. This means that the flower can be divided into five equal parts using five lines of reflectional symmetry, such that each part is a mirror image of the other.

D. The statement that the flower has no rotational symmetry is correct, as mentioned in A and B.

Therefore, the correct answer is C. It has reflectional symmetry with five lines of symmetry.

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Answer:

to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees

The data shows mean concentrations (mg/l) of pollutants in rainwater leaving either green or conventional roofs. Correct Option is: (D)The Total Volume of Rainfall is needed to calculate the total amount of a pollutant leaving the roof during and following a rainstorm.

Volume:

Precipitation intensity is the water depth (mm) recorded during a shower divided by the duration of the shower (hours).

Expresses water depth per hour in millimeters (mm/hour).

\(rainfall intensity = total amount of rainwater(mm)/ duration of the rainfall (hours)\)

A volume is a measure of three-dimensional space. Often quantified numerically using SI units (such as cubic meters and liters) or using various imperial or US customary units (such as gallons, quarts, and cubic inches). The definition of length (cube) relates to volume. Container volume is generally understood to mean the capacity of the container. That is, the amount of liquid (gas or liquid) that the container can hold, not the amount of space that the container itself moves.

In ancient times, volume was measured using similarly shaped natural vessels and later standardized vessels. The volume of some simple 3D shapes can be easily calculated using arithmetic formulas. The volume of more complex shapes can be calculated using integral calculations if there is an equation that constrains the shape. Zero, one, and two dimensional objects have no volume. In four dimensions and above, a concept analogous to ordinary volumes is a hypervolume.

Volume of Rainfall:

The Average Rainfall = Depth x Radius x Radius x 3.14. The area at the top of the bucket (this is the area where rain is collected). Dividing the precipitation by this area will give you the precipitation.

Complete Question:

The data in the table show mean concentrations (mg/L)(mg/L) of pollutants in rainwater leaving either green or conventional roofs. Which of the following data would be needed to calculate the total amount of a pollutant leaving the roof during and following a rainstorm?

A) Distance from street level to roof

B) Duration of the rain event

C) Total number of plants on the roof

D) Total volume of rainfall

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Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Applying a row operation does not guarantee that the new system is homogeneous.

Consider the following statements about a system of linear equations with augmented matrix A:

(a) If the system is homogeneous, every solution is trivial. This statement is true; if all the coefficients of the system are equal to zero, the only possible solution is the trivial solution of all variables being zero.

(b) If the system has a nontrivial solution, it cannot be homogeneous. This statement is false; a system can be homogeneous and still have a nontrivial solution.

(c) If there exists a trivial solution, the system is homogeneous. This statement is true; if the solution is all variables being zero, the system is homogeneous.

(d) If the system is consistent, it must be homogeneous. This statement is false; a consistent system can be either homogeneous or non-homogeneous.

(f) If there exists a solution, there are infinitely many solutions. This statement is false; if there exists one solution to a system, there may not be infinitely many solutions.

(g) If there exist nontrivial solutions, the row-echelon form of A has a row of zeros. This statement is false; the row-echelon form may not necessarily have a row of zeros.

(h) If the row-echelon form of A has a row of zeros, there exist nontrivial solutions. This statement is true; if the row-echelon form of A has a row of zeros, then there must be at least one nontrivial solution.

(i) If a row operation is applied to the system, the new system is also homogeneous. This statement is false; applying a row operation does not guarantee that the new system is homogeneous.

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the breadth of the rectangle is 3

A rectangle is composed of two sides: length (L) and width (W). The length of a rectangle is the longest side, whereas the width is the shortest side. The width of a rectangle is sometimes referred to as the breadth (b).

Area =9x -6 ,

length=3x-2,

 breath =?​

Therefore, the area of a rectangle formula states that:

Area of rectangle = Length x Width

A = L * W, where A is the area, L is the length, W is the width or breadth.

now put the given value in the formula

9x-6 = (3x-2 )*W

3( 3x -2) / (3x-2) = W

W =3

Hence , the breadth of the rectangle is 3

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Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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Answer:

f(2) = 15.5

f(3) = 18

f(4) = 20.5

f(5) = 23

f(6) = 25.5

g(2) = 64

g(3) = 96

g(4) = 128

g(5) = 160

g(6) = 192

Step-by-step explanation:

plug it all in to the equations

Answer:

i took the test and heres what i got

Step-by-step explanation:

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

work done every week

y=100-0.75x

The required probability for three numbers rolled on the dice are the sides of a triangle is 31/36.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability.

Here,

When three dice are rolled, there are 63=216 possible outcomes, or triplets (x, y, z).

Once more, in a triangle, any two sides added together are larger than the third side, or (x+y)>z.

As a result, 186 outcomes or triplets are possible and satisfy this property.

Hence, the required probability is 186/216=31/36.

The required probability is 31/36 for three dice rolls to produce triangle sides.

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The column space of A and the column space of U are the same.(option-a,b)

(a) The column space of A is spanned by the columns of A that are linearly independent. In this case, the first three columns of A are linearly independent. Therefore, the dimension of the column space of A is 3.

(b) The column space of U is spanned by the columns of U that are linearly independent. In this case, all three columns of U are linearly independent. Therefore, the dimension of the column space of U is also 3.

(c) The row space of A is spanned by the rows of A that are linearly independent. In this case, the rows of A are not linearly independent. Row 2 is equal to the sum of rows 1 and 3, so the dimension of the row space of A is 2.

(d) The row space of U is spanned by the rows of U that are linearly independent. In this case, all three rows of U are linearly independent. Therefore, the dimension of the row space of U is 3.since both have a dimension of 3 and are spanned by the same set of three linearly independent columns. The row space of A and the row space of U are not the same, since they have different dimensions and are spanned by different sets of rows. (option-a,b)

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Check the picture below.

Answer:

Left 2, up 1

Step-by-step explanation:

If you use slope, remember rise/run. You go up then left.

Answer: left 2 up 1

Step-by-step explanation: I did it by using the rule rise over run so it goes up then left . Hope it helps