(-4,-2) and (4,0)
Write a linear equation that passes through the given two points.

Please help asap

Answer:

Step-by-step explanation:

It means she made a rectangle. 2cm wide, 5cm high.

Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

    |     /|

    |    / |

    |   /  |

    |  /   |

    | /    |

    |/     |

_____|______|______

    |

    |

    |

    |

    |

    |

Answer:

a. /_ M = /_ T

b. /_ T = /_ M = 180 - 52 - 36 = 92

Sorry I answered in the comment section, I'm new to this xD

Step 1: The proposed probe for flaw detection in type 316L austenitic stainless steel plates is an eddy current probe with a suitable height, diameter, and frequency.

Step 2: Eddy current testing is an effective non-destructive testing method for detecting flaws in conductive materials. In this case, the eddy current probe should have a suitable height, diameter, and frequency to ensure accurate flaw detection.

The height of the probe should be adjusted to maintain a constant lift-off of 0.2 mm, which is the distance between the probe and the surface of the material being tested. This ensures consistent measurement conditions and reduces the influence of lift-off variations on the test results.

The diameter of the probe should be selected based on the size of the flaws and the desired spatial resolution. It should be small enough to accurately detect the flaws but large enough to cover the entire flaw area during scanning.

The frequency of the eddy current probe determines the depth of penetration into the material. Higher frequencies provide shallower penetration but higher resolution, while lower frequencies provide deeper penetration but lower resolution. The frequency should be chosen based on the expected depth of the flaws and the desired level of sensitivity.

Overall, the eddy current probe with suitable height, diameter, and frequency can effectively detect the artificial flaws in type 316L austenitic stainless steel plates fabricated using a powderbed-based laser metal additive manufacturing machine.

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Answer:

B

Step-by-step explanation:

Meet at the middle of the two lines

Answer:

pretty sure it's c

Step-by-step explanation:

when we learned that, we're always supposed to start with x which in this occasion is 4 and y is 2

Answer:

54months

Step-by-step explanation:

30,000-3000=27000.

27000/500=54.

answer=54 more months.

There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.

This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.

The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.

Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.

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Answer:

Step-by-step explanation:

If one bottle of perfume holds 5 millimeters and we only have two, we would only be able to fill the bottle 2/5 of the way.

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

The strongest correlation is - 0.89 that is option B

To gauge how closely two variables are related to one another, correlation coefficients are used. The most common correlation coefficient is Pearson's, though there are other varieties as well. The correlation coefficient known as Pearson's is frequently applied in linear regression. Correlation coefficients typically fall between -1.00 and +1.00. The strongest correlation is taken into account when the value is closest to +1 or -1, according to the rule of correlation coefficients.

A positive correlation coefficient means that the two variables directly affect one other's values. There is no association between the two variables, according to a zero correlation coefficient and when the correlation coefficient is negative, it means that the values of the two variables are inversely related.

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The probability P(x > 18) is equal to 1 minus the probability P(x < 18) for a normally distributed variable x with mean μ = 100 inches.

In a normal distribution, the area under the curve represents the probability of observing a certain value or a range of values. The probability P(x > 18) represents the probability of observing a value greater than 18 for the variable x. Conversely, the probability P(x < 18) represents the probability of observing a value less than 18 for the variable x.

Since the total area under the normal distribution curve is equal to 1, we can say that the sum of the probabilities of all possible events is equal to 1. Therefore, the probability of an event occurring (P(x > 18)) plus the probability of the event not occurring (P(x < 18)) is equal to 1.

Mathematically, we can express this relationship as:

P(x > 18) = 1 - P(x < 18)

So, the probability P(x > 18) is related to P(x < 18) by subtracting the latter from 1.

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The probability that Luke will hit the inner ring fewer than 3 times is  0.069.

To calculate the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X, we need to know the distribution of X.

Assuming that each shot is independent and has the same probability p of hitting the inner ring, X follows a binomial distribution with parameters n=5 and p.

The mean of a binomial distribution is given by μ = np, so in this case, the mean of X is 5p.

To find the probability that X is less than 5p, we can use the cumulative distribution function (CDF) of the binomial distribution. Let F(k) denote the CDF of the binomial distribution with parameters n=5 and p, evaluated at k.

Then the probability that X is less than 5p is:

P(X < 5p) = F(4p)

Note that we use 4p instead of 5p in the argument of F, since we want the probability that X is strictly less than 5p, not less than or equal to 5p.

Using a binomial table or calculator, we can look up or compute the value of F(4p) for a given value of p.

For example, if p=0.6 (which corresponds to Luke hitting the inner ring 60% of the time), we get:

P(X < 5p) = F(2.4) ≈ 0.069

So the probability that Luke will hit the inner ring fewer than 3 times (which is less than 5p=3) out of the 5 attempts is about 0.069, assuming he hits the inner ring with a probability of 0.6 on each shot.

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The equation that represents the line closest to the curve of best fit would be the equation of the line with the smallest sum of squared residuals.

In order to determine the equation that represents the line closest to the curve of best fit, we first need to find the equation of the curve of best fit. This can be done using regression analysis, such as linear regression or polynomial regression, depending on the shape of the data.
Once we have the equation of the curve of best fit, we can then find the equation of the line that is closest to this curve. This can be done by finding the line that has the smallest sum of squared residuals, which measures the distance between each data point and the line.
Therefore, the equation that represents the line closest to the curve of best fit would be the equation of the line with the smallest sum of squared residuals.

To determine the equation that represents the line closest to the curve of the best fit, you'll need to analyze the given data points and compare the residual errors for each candidate equation. The equation with the smallest sum of squared residuals is generally considered the best fit.

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Answer:

The answer for your first question after just factoring is -(x-6)(x+7). So the answer for the first question is C

The answer to the second question after factoring is -3x(2x+3), which matches Choice A, so the answer to the second question is A.

Step-by-step explanation:

I think the answer is 30x+330>50x

Step-by-step explanation:

for the option A it was slightly changed,

cause the $30 was deposited by helen not Vince.

so check that well

Answer:

0.15

Step-by-step explanation:

Answer:

\(x > 1\)

x is greater than 1

Answer:

a) 6 girls

b) 3 more boys than girls

c) Pizza

Step-by-step explanation:

a)

You know that half of 4 is 2, and 4+2=6.

b)

There is 1 full circle and 1 circle that is 3/4.

3/4 of 4 is 3.

4+3 is 7 for the girls.

For the boys, there is 2 full circles and 1 half circle.

Half of 4 is 2.

8+2=10.

10-7=3.

c)

You can clearly see its pizza!!!

Hope this helps! <3

The probability that nadia randomly picks up a reference book and then without replacing it picks up a nonfiction book is 5/136.

Given:

17 total number books out of which 10 are fiction books,2 are reference books , 5 non fiction books.

Number of ways of picking reference book = \(2_C_1\)

Probability of picking a reference book = \(2_C_1/17_C_1\)

= 2/17

The total number of books left on the shelf is 16.

The number of ways in which a non fiction book can be picked after a reference book is already picked = \(5_C_1/16_C_1\)

= 5/16.

Total probability = 2/17*5/17

= 10/272

= 5/136.

Therefore The probability that nadia randomly picks up a reference book and then without replacing it picks up a nonfiction book is 5/136.

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Answer: A parabola can be defined as the set of all points that are equidistant from a focus and a directrix. Based on the information provided, the focus of the parabola is (0, 4) and the directrix is y =.

The parabola will open upwards or downwards depending on the location of the focus and the directrix. Since the focus is at (0, 4), and the directrix is at y =, the parabola must open upwards. The axis of symmetry of the parabola will pass through the focus and will be perpendicular to the directrix.

Without more information, it is not possible to fully determine the shape and equation of the parabola. The shape of the parabola and its equation can be found by using the focus and directrix and other information, such as the vertex or a point on the parabola.

Step-by-step explanation:

Answer:

For every 1 box Naveah moves, Michael moves 4 boxes

D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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Answer:

$1584

Step-by-step explanation:

2.2% of 72,000 is 1584, therefore that is the rent

Answer:

A. 8

Step-by-step explanation:

6.0061 x 10^7

/                        = 6/8 x 10^7/10^6

7.8483 x 10^6

0.75 x 10^7-6

0.75 x 10^1

A: 0.75 = 7.5 = 8.

The area of the Pacific Ocean is 8 times larger than the area of the Southern Ocean.

Option A is the correct answer.

It is a result that is not exact, but close enough to be used.

We have,

Area of the Pacific Ocean:

= 6.0061 x \(10^{7}\) square miles

Area of the Southern Ocean:

= 7.8483 x \(10^{6}\) square miles

The area of the Pacific Ocean is larger than the area of the Southern Ocean by:

Area of the Southern ocean x M = Area of the Pacific Ocean

M = 6.0061 x \(10^{7}\) / 7.8483 x \(10^{6}\)

M = 7.7

Approximating we get,

M = 8.

Thus the area of the Pacific Ocean is 8 times larger than the area of the Southern Ocean.

Option A is the correct answer.

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The angles that are supplementary angles are: ∠SRT and ∠SRO

Angles that are supplementary will give us a sum of 180 degrees when we add the two angles together. One is the supplement of the other.

Some examples of angles that are supplementary angles that are formed when two parallel lines are intersected by a transversal include:

Angle SRT and angle SRO are angles that are adjacent to each other because they share a common side SR and a common vertex R. They line on the straight line OT.

Therefore, angle SRT and angle SRO are two angles that are supplementary angles as shown in the diagram attached below where lines NP and QS are parallel lines. The supplementary angles are therefore angle SRT and angle SRO.

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The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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The equation of the circle passing through the point (-6, 3) having center at (5, - 4) is (x - 5)² + (y + 4)² = 170

The general equation of a circle with (h, k) representing the circle's center, and {r} represents the length of its radius is

(x – h)² + (y – k)² = r²

We can write the equation of the circle as -

(x – h)² + (y – k)² = r²

(x - 5)² + (y + 4)² = (11)² + (-7)²

(x - 5)² + (y + 4)² = 121 + 49

(x - 5)² + (y + 4)² = 170

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As per the problem statement, there is a linear relation,  between de whole earnings of Jada,  and her working time.

Solution:

y = 240 + 6×t

A Linear relation  is of the form:

y = ax + b

If we call total earnings´Jada "y",  and "t" the whole quantity of worked hours per week,  we get:

a fixed amount working 40 hours      12×40 = 480 $

and the quantity over 40 hours as   ( t - 40 ) × 6.

Then  y = fixed quantity + overtime

y = 480 + ( t - 40 ) × 6       reordering this expression

y = 480 + 6×t - 240

y = 240 + 6×t

Just for checking,  if this equation satisfies, the conditions of the problem

if t = 40 h    that means she did´nt do any overtime,

she earns    y = 240 + 6×(40)   ⇒  y = 480 $

if t = 50 h  meaning 10 hours of overtime, she earns:

y = 240 + (50)×6   ⇒  y = 540 $

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