What is the slope of the line
help me plz ​

Answer:

-114 is less than -1

Answer:

-114 < -1

Step-by-step explanation:

When dealing with two negative numbers, always remember that the larger the number the smaller it is, the smaller the number the larger it is

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer:

2.2k and 2200

Step-by-step explanation:

1.4k+0.8k=2.2k

and

800+1400=2200

Because the ratio is 1000:1 1000 meters and 1 kilometer.

The points that lie in the feasible region of this maximization problem are (-1,1) and (1,1).

The given constraints are: 14X + 4Y ≤ 28 and X − Y ≤ 2

In order to determine which of the points belong to the feasible region of this maximization problem, we need to check each point one by one. Let's evaluate each point and check which of the points lie in the feasible region. The points are given as below:x = −1, y = 2.5

The two constraints are:14X + 4Y ≤ 28 and X − Y ≤ 2

For the point (x,y) = (-1,2.5), we have:

14(-1) + 4(2.5) = 7 > 0;

Therefore, the point (-1,2.5) satisfies the first constraint.

Next, we need to check whether the point (-1,2.5) satisfies the second constraint:X − Y = -1 - 2.5 = -3.5 < 2

Since the second constraint is not satisfied, (-1,2.5) is not in the feasible region.

x = −1, y = 1

For the point (x,y) = (-1,1), we have:14(-1) + 4(1) = 10 > 0;

Therefore, the point (-1,1) satisfies the first constraint

.Next, we need to check whether the point (-1,1) satisfies the second constraint:X − Y = -1 - 1 = -2 < 2

Since the second constraint is satisfied, (-1,1) is in the feasible region.

x = 4, y = 2For the point (x,y) = (4,2), we have:14(4) + 4(2) = 64 > 0;

Therefore, the point (4,2) satisfies the first constraint.Next, we need to check whether the point (4,2) satisfies the second constraint:X − Y = 4 - 2 = 2 < 2

Since the second constraint is not satisfied, (4,2) is not in the feasible region.

x = 2, y = 1

For the point (x,y) = (2,1), we have:

14(2) + 4(1) = 32 > 0;

Therefore, the point (2,1) satisfies the first constraint.Next, we need to check whether the point (2,1) satisfies the second constraint:X − Y = 2 - 1 = 1 < 2

Since the second constraint is satisfied, (2,1) is in the feasible region.

x = 1, y = 1

For the point (x,y) = (1,1), we have:

14(1) + 4(1) = 18 > 0;

Therefore, the point (1,1) satisfies the first constraint.

Next, we need to check whether the point (1,1) satisfies the second constraint:X − Y = 1 - 1 = 0 < 2

Since the second constraint is satisfied, (1,1) is in the feasible region.

Hence, the two points that belong to the feasible region are (-1,1) and (1,1).

Therefore, the correct answer is: The points that lie in the feasible region of this maximization problem are (-1,1) and (1,1).

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Answer:

3 peanut cookies

Step-by-step explanation:

Given that :

Plate 1:

Number of chocolate chip = 4

Number of peanut butter cookies = 1

Probability of drawing chocolate chip cookies from plate 1 :

Probability =( number of required outcome / Total possible outcomes)

P(chocolate chip) = 4 / 5

Plate 2:

Number of chocolate chip = 2

Number of peanut butter cookies = p

P(chocolate chip) = 2 / (2 + p)

Probability of drawing chocolate chip from plate 1 and then plate 2 = 8/ 25

(4/5) * 2/(2+p) = 8/ 25

8 / (10 + 5p) = 8/ 25

8(10 + 5p) = 8 * 25

80 + 40p = 200

40p = 200 - 80

40p = 120

p = 3

Answer:

The domain of the inverse is x > 2.

The given homogeneous system of equations can be represented as a matrix equation Ax = 0, where A is the coefficient matrix and x is the vector of variables.

To find the solution set in parametric vector form, we can perform row operations on the augmented matrix [A|0] and express the variables in terms of free parameters.

The augmented matrix for the given system is:

[3 3 6 | 0]

[-9 -9 -18 | 0]

[0 -7 -7 | 0]

Using row operations, we can transform this matrix to row-echelon form:

[3 3 6 | 0]

[0 -6 -12 | 0]

[0 0 -7 | 0]

Now, we can express the variables in terms of free parameters. Let x2 = t and x3 = s, where t and s are arbitrary parameters. Solving for x1 in the first row, we get x1 = -2t - 2s.

Therefore, the solution set in parametric vector form is:

x = [-2t - 2s, t, s], where t and s are arbitrary parameters.

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You can order 6 different one-topping pizzas. You can order 15 different one-topping pizzas.

What is the combination?

A combination is a method of selecting items from a collection where the order of selection is irrelevant.

The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.

The formula of combination is nCr = n!/[r!(n-r)!]

Where n is the total number of objects and r is the number of objects those are selected.

Case 1: one-topping pizzas

The number of different toppings is 6.

Selecting one topping is ₆C₁  = 6!/[1!5!] = 6

Case 2: two-topping pizzas

The number of different toppings is 6.

Selecting two topping is ₆C₂  = 6!/[2!4!] = 15

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a)The sample space S in this case is all of the possible outcomes of selecting a box and then selecting a coin out of that box. There are three boxes in total, and each box has two coins in it. As a result, the overall sample space is made up of six distinct possibilities (one for each coin).We'll look at the possibility of selecting a gold coin from each box first.

There are a total of four distinct ways this can occur: selecting either of the two gold coins in the third box, selecting the silver coin in the first box, and selecting the gold coin in the second box. There are three distinct ways to select a gold coin from a box overall.

There are two gold coins in the third box, and the probability of selecting one of them is 2/6, or 1/3. If we choose a gold coin, we must then choose a silver coin from one of the other two boxes. There are two silver coins in total, one in each of the other two boxes.

As a result, the probability of selecting a silver coin from one of those two boxes is 2/4, or 1/2.The probability that the remaining coin in the box is silver is:

1/3 × 1/2 = 1/6.b)

In this case, there are a total of three outcomes, each with a distinct likelihood of being selected. We can choose from each of the boxes with equal likelihood since there are no indications that any box is more likely than any other to be selected.

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The endpoints (10, 5) and (50, 75) in the canonical form of the cubic curve is:

a0 = 5,

a1 = 0,

a2 = 0,

a3 = 70 / (50^3).

To find the coefficients that satisfy the endpoints of the cubic curve in canonical form, we can use the general equation of a cubic polynomial:

y = a0 + a1u + a2u^2 + a3u^3,

where (u, y) represents the points on the curve.

Given the endpoints (10, 5) and (50, 75), we can substitute these values into the equation to obtain a system of equations that we can solve for the coefficients.

For the first endpoint (10, 5):

5 = a0 + a1(0) + a2(0^2) + a3(0^3),

5 = a0.

For the second endpoint (50, 75):

75 = a0 + a1(50) + a2(50^2) + a3(50^3).

Now, we have two equations and four unknowns (a0, a1, a2, a3). However, since we only need to find one set of coefficients that satisfies the endpoints, we can assign arbitrary values to two of the coefficients and solve for the remaining two.

Let's choose a1 = 0 and a2 = 0. By substituting these values into the second equation, we have:

75 = a0 + 0 + 0 + a3(50^3),

75 = a0 + a3(50^3).

Now, we can solve for a0 and a3 by subtracting the first equation (5 = a0) from the second equation:

75 - 5 = a0 + a3(50^3) - a0,

70 = a3(50^3),

a3 = 70 / (50^3).

Therefore, one set of coefficients that satisfy the endpoints (10, 5) and (50, 75) in the canonical form of the cubic curve is:

a0 = 5,

a1 = 0,

a2 = 0,

a3 = 70 / (50^3).

Remember, there are infinitely many options for the values of the coefficients, but this is one possible set that satisfies the given endpoints.

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Answer:

4x is a monomial

Step-by-step explanation:

it has one type of term, in this case one with a variable

Answer:

x + 0.085x

Step-by-step explanation:

Because.. in the last sentence it says the total cost which means add so then you eliminate b and d...so after that before 8.5% it says sales tax...so then that is when you add a x at the end. so it is........x+0.085x.

Answer:

-30

Step-by-step explanation:

move and divide -3/5 to the right side

-3/5x = 18

x=18÷(-3/5)

x= -30

Answer: B or D

Step-by-step explanation:

Karens ration is 5:15 whilst chens is 6:19

1/3 of 15 is gonna be 5, while 19 is gonna be around 6.3

I got 1/3 cause there is 3 colors, and red is one of them, since the question is asking about the total. I would be leaning more towards B though.

Answer:

Chen: 6/19

Step-by-step explanation:

Anne: 2/14 = 0.142

Karen: 5/15 = 0.133

Janice: 4/14 = 0.285

Chen: 6/19 = 0.316

The radioactive isotope ^239Pu has a half-life of 24,100 years. After 1,000 years, the initial quantity of 0.3g would have significantly decreased.

Radioactive decay is the process by which unstable isotopes undergo spontaneous disintegration, releasing radiation in the form of particles or electromagnetic waves. The rate at which a radioactive substance decays is measured by its half-life, which is the time it takes for half of the initial quantity to decay. In the case of the isotope ^239Pu (plutonium-239), it has a half-life of 24,100 years.

To calculate the amount of the isotope remaining after a certain time, we can use the equation N = N0 * \((1/2)^{(t / T)}\), where N is the amount after time t, N0 is the initial quantity, and T is the half-life.

Given that the initial quantity of ^239Pu is 0.3g and the time is 1,000 years, we can substitute these values into the equation. Plugging in the values, we have N = 0.3g *\((1/2)^{(1000 / 24,100)}\).

Evaluating this expression, we find that after 1,000 years, the amount of ^239Pu remaining would be significantly reduced compared to the initial quantity. The exact value would be determined by the calculation, and it would likely be a small fraction of the initial 0.3g, indicating a substantial decay of the radioactive isotope over that time period.

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Answer:

I think 90°

Step-by-step explanation:

I was not good in maths that's why I'm not sure about this answer

The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

\(a_{c} = \frac{v^{2} }{r}\)

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

\(v = wr = \frac{2\pi r}{T}\)

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

\(a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm\)

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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In a linear equation, the value of Y when X is 0 is called the y-intercept, not the slope.

In order to determine whether the differences between group means are statistically significant, ANOVA examines the differences between groups.

ANOVA, which stands for Analysis of Variance, is a statistical method used to compare the means of two or more groups.

It analyzes the variability between group means and within group variability to assess whether there are significant differences among the groups.

The main idea behind ANOVA is to compare the variation between groups with the variation within groups.

If the variation between groups is significantly larger than the variation within groups, it suggests that there are meaningful differences among the groups.

This implies that the differences between group means are statistically significant, indicating that the groups are not just randomly different.

ANOVA achieves this by calculating an F-statistic, which is the ratio of the variability between groups to the variability within groups.

If the F-statistic is large enough to exceed a critical value based on the chosen significance level, it indicates that the group means are significantly different.

Regarding the statement about a linear equation, it is incorrect.

In a linear equation, the value of Y when X is 0 is called the y-intercept, not the slope.

The slope refers to the rate of change of Y with respect to changes in X.

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Coordinates of equation 3x + 2y = 18 are (0.9) and (6,0).

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y). Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane. Meaning of a Coordinate Plane. A coordinate plane is a 2D plane that is created by the junction of the x-axis and y-axis, two perpendicular lines.

Given

Equation

3x + 2y = 18

For coordinates,

When x is 0

3(0) + 2y =18

2y = 18

y = 9

Points (0,9)

When y is 0.

3x + 2(0) = 18

3x = 18

x = 6

Points (6,0)

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Answer:

Domain: -5. -4, -2, 0, 1

Range: 4, -1, 1, 3

Answer:

7 wrong answers.

Step-by-step explanation:

We know that when you answer a question well, you earn 8 points and a bad one loses 5 points, this means that when you answer 1 good and 1 bad, there is a total of 3 points (8-5).

This means that when answering 5 good and 5 bad, in total it would be 3 * 5 points, that is to say 15 points, that is, it goes through 2 points. To subtract 2 points, you would have to answer 1 good and 2 bad, (8 - 2 * 5), which turns out to be -2 points.

In total there would be 6 questions right and 7 questions wrong, like this:

8 * 6 + 5 * 7 = 13

13 points, in 13 questions (6 correct + 7 incorrect)

The rest of the questions were not answered so that the score does not go up or down.

Which means you got 7 wrong answers.

Answer:

Your answer is <, Hope it helps.

The congruence theorem used is the SAS theorem and the measure of the side AB is 525feet

The congruence  theorem used is expressed is the SAS rule which states that:

If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

To get the length of DE, we will use the similarity theorem of the triangle as shown:

DE/25 = AB/215

105/25 = AB/125

25AB = 105 * 125

AB = 105 * 5

AB = 525feet

Hence the measure of the side AB is 525feet

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Answer:

The congruence theorem used is the SAS theorem and the measure of the side AB is 525feet

Congruence theorem

The congruence  theorem used is expressed is the SAS rule which states that:

If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

To get the length of DE, we will use the similarity theorem of the triangle as shown:

DE/25 = AB/215

105/25 = AB/125

25AB = 105 * 125

AB = 105 * 5

AB = 525feet

Hence the measure of the side AB is 525feet

Answer:

The answer is the forth one, you suppose Sabi am

Answer:

You sold 15 cookies and 12 muffins

Step-by-step explanation:

So you're given that 1 cookie is sold for $3 and 1 muffin is sold for $7

You're also given that in total you made $129, and sold 27 items

Let's make equations from that, letting c stand for amount of cookies and m for amount of muffins.

Now we can use the second equation to find m:

c + m = 27

m = 27 - c

Not we can substitute m into the first equation to find c:

3c + 7m = 129                  

3c + 7(27-c) = 129            [substitute m for (27-c)]

3c + 189 -7c = 129           [distribute 7 into (27-c)]

-4c + 189 = 129                [combine like terms]

-4c = -60                          [subtract 189 from both sides]

c = 15                               [divide both sides by -4]

Now we can substitute c into the second equation to find m:

c + m = 27

15 + m = 27

m = 12

The interval of systolic blood pressure that represents the middle 95% of males is from 94 to 126.

Explain interval

An interval is a set of real numbers that lie between two endpoints. It can be represented as a closed interval, which includes both endpoints or an open interval, which excludes them. Intervals can also be half-open, including one endpoint but not the other. Intervals are used in a variety of mathematical concepts, including calculus, linear algebra, and set theory.

According to the given information

We can calculate the interval of systolic blood pressure that represents the middle 95% of males as follows:

Lower limit = mean - 2 * standard deviation = 110 - 2 * 8 = 94

Upper limit = mean + 2 * standard deviation = 110 + 2 * 8 = 126

So, the interval of systolic blood pressures that represent the middle 95% of males is from 94 to 126.

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The residual at x = 16 is obtained by subtracting the predicted value (12) from the observed value (10), resulting in a residual of -2.

In the given data set, a regression model has been created using JMP. For an x value of 16, the linear regression model predicts a y value of 12. To calculate the residual at x = 16, we need to find the difference between the predicted y value (12) and the actual observed y value corresponding to x = 16.

From the data set, we can see that the observed y value at x = 16 is 10. Therefore, the residual at x = 16 is obtained by subtracting the predicted value (12) from the observed value (10), resulting in a residual of -2.


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False. As you increase the sample size (n), assuming everything else remains the same, the width of the confidence interval decreases, not increases.

The width of a confidence interval is determined by several factors, including the sample size (n), the variability of the data, and the desired level of confidence. When all other factors remain constant, increasing the sample size (n) leads to a narrower confidence interval.

A larger sample size provides more information and reduces the uncertainty associated with estimating population parameters. This decrease in uncertainty leads to a smaller margin of error, resulting in a narrower confidence interval.

The relationship between the sample size and the width of the confidence interval can be understood by the formula for the margin of error. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the square root of n increases at a slower rate, resulting in a smaller margin of error and narrower confidence interval.

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