find the slope (photo)​

Answer:

B. -6

Step-by-step explanation:

The common difference here is the difference between each term. Since it is an arithmetic sequence the difference between each term will be the same value.

So, from 45 (the 1st term) to 39 (the 2nd term), the difference is -6

From 39(the 2nd term) to 33, the difference is also -6.

Therefore, we know that the common difference fro this arithmetic sequence is -6.

Hope this helps and ask me any question if it does not :)

Answer:

-6.

Step-by-step explanation:

39 - 45 = -6

33 - 39 = -6

27 - 33 = -6

21 - 27 = -6.

The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.

In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.

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The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .

What is Side-Angle-Side Congruence ?

The Two Triangles can be called as  Congruent by Side-Angle-Side rule  if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .

In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.

The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and

the angles between these two sides of the triangle must  be equal.

So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove  that they are equal.

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C. The statement is false. It is the sum of the squares of all the residuals that is minimized.

In the context of least squares, the goal is to minimize the sum of the squares of the residuals, not the square of the largest residual alone. The residuals are the differences between the observed values and the corresponding predicted values obtained from a regression model.

By minimizing the sum of the squares of the residuals, the least squares method ensures that all residuals contribute to the overall measure of fit, rather than just focusing on the largest residual. This approach provides a balanced and comprehensive assessment of the overall goodness of fit between the model and the observed data.

Therefore, the statement that the square of the largest residual is as small as it could possibly be is false. The least squares method aims to minimize the sum of the squares of all the residuals, leading to the best overall fit between the model and the data.

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Answer:

The answer is D

Step-by-step explanation:

Y = KXZ

4 = 6*1 *K

K = 4/6 = 2/3

SO, Y = 2/3 * X*Z

Y = 2/3 * 7 * 4

Y = 2/3 * 28

Y = 56 /3

Answer:

y = 3, 4, or 5

Step-by-step explanation:

Step 1; Simplify the Double Inequality

Let's first simplify this double inequality to make answering this problem a bit easier. This means getting the middle term to be just y, without any added constant or coefficients.

In this case, this is a fairly simple process, as all we have to do to get y by itself is just divide the entire inequality by 2. This means that we will also divide the 5 and 12 by 2. (Note that the signs stay the same because we are not dividing by a negative number.)

Doing so gives us the following double inequality: 2.5 < y < 6.

Step 2: Identify the Integers in this Range

Now that we have a simplified double inequality, all we need to do is find all of the integers in its range. (Recall that an integer is any number that is not a fraction when fully simplified (ex. …-1, 0, 1...).)

In other words, we need to find all of the integers in between 2.5 and 6. Note that we don't include 6 because of the "<" sign, which indicates that the 2.5 and 6 are not included in the set. These numbers are 3, 4, and 5, making them your answer. Hope this helps!

Answer:

6

Step-by-step explanation:

3x/y

3(10/5)

3(2)

6

Answer:

6

--------------------------

explanation below

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3x means you gotta times x 3 times so 10 x 3 = 30. 30 / 5 is 6.

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this symbol (/) means to divide and a number and the x or whatever letter next to eachother means to multiply. have good day my friends answer is 6

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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Answer:

8

Step-by-step explanation:

fist take y2-y1 to get 16 that do x2-x1 to get 2 the do 16 divided by to to get 8

Answer:

It increases national debt. This happens because the unemployed don't participate in doing taxes because they do not have a job. It also effects other businesses because people with less money won't buy as many things which leads to other companies losing money.

The files that allows us to retrace a material requirement upward in the product structure through each level, identifying each parent item that created the demand is e. Peg record file.

Product structure  can be described as the hierarchical decomposition of a product, which can be regarded as the bill of materials (BOM).

It should be noted that the  business becomes more responsive to unique consumer tastes  thjrough the meeting the unique configurations, hence in the files that allows us to retrace a material requirement upward in the product structure is the Peg record file.

Therefore, option E is correct.

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The probability that the first three questions have the same answer choice is 1/4, since there are four answer choices and the instructor is randomly selecting the answers according to a discrete uniform distribution. This means that each answer choice has an equal probability of being chosen. Therefore, the probability of all three questions having the same answer is 1/4.

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Answer:

14.6mm

Step-by-step explanation:

The formula for finding the circumference of a circle is 2πr.

The circumference is 91.688 millimeters inorder to find the radius we have to do the opposite or inverse of multiplication which is division.

So we divide the circumference by 2 and pi which is 3.14 which will give us the radius

r = radius = 91.668 ÷ 3.14 ÷ 2 = 14.6

Answer: its c

Step-by-step explanation:

Note that the equation in terms of y, volume of air in a person's lungs in mL and t, in seconds, to represent the given context is y = 800 cos (π/2 t) + 1600.

The function depicted in the graph exhibits a periodic nature, characterized by its oscillation between two extreme points.

The time period of the function is derived as T = 4 seconds, given that each complete oscillation occurs between one crest and the subsequent crest or from one through and the subsequent through.

The midline of this function is y = 1600 mL, which denotes its average value.

Furthermore, the amplitude of this function equals half the distance between both extreme values, equivalent to A = 800mL. Given that the function has a period of 4 seconds and that its first crest is located at (2.5, 2600), it follows that we may represent this function with an equation expressed as:

y = A Sin (2π/T ( t-  c)) + 1600


Where:

A = 800
T = 4
2.5, 2600 is a crest


Thus,

1000 = -A + 1600
A = 600

Solving for A, we get

c = 2.5 - T/4 = 0.5


replacing those values, we have:

y = 800 sin (π/2 (t - 0.5)) + 1600

This can be simplified further to read

y = 800 cos (π/2 t) + 1600.

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The probability that a college student will get to work in 30 mins or less is 0.4 or 40%.

What does uniformly distributed probability mean?

Uniform distribution refers to a type of probability distribution in which all outcomes are equally likely to occur.

According to the given question:

Since the time is uniformly distributed, every possible travel time has the same likelihood of occurring.

Lower boundary (L) = 20 minutes

Upper boundary (U) = 45 minutes

The probability that a student finishes her trip in 30 minutes or less is:

P (t ≤ 30) = (30 - L)/(U - L)

              = (30 - 20)/(45 - 20)

              = 10/25

              = 0.4 or 40%

The probability that she will get to work in 30 mins or less is 0.4 or 40%

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We will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

We need to simplify the given expression which is given below;

6 tan2 x − 6 tan2 x sin2 x

In order to solve this expression, we will first write it in a factored form which will be;

6 tan²x(1 - sin²x)

We know that the identity for sin²x is;sin²x + cos²x = 1

Which can be rearranged to give;

sin²x = 1 - cos²x

Now we will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

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Answer:

The answer is 1

Step-by-step explanation:

You replace the x with 4 making it 4-2/2=1

Answer:

\( \frac{ - 8}{11} = \frac{12}{x} \\ cross \: multipliation \\ 12 \times 11 = - 8 \times x \\ x = \frac{12 \times 11}{ - 8} = \frac{3 \times 11}{ - 2} = \frac{33}{ - 2} = - 16.5\)

The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

The most appropriate measure of center to represent the data in the given line plot is the mode.

The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:

There is one dot above 2, 4, 8, and 9.

There are two dots above 6 and 7.

There are three dots above 3.

Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.

The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.

While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.

Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

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Answer:

below

Step-by-step explanation:

7(x-3)+2(xy-3y)

I'm positive it's the correct answer

Answer:

The constant of proportionality (k) is 24

Step-by-step explanation:

if y varies inversely as x

y = k × 1/x

and y = k/x

if y = 4 and x = 6

That means 4 = k/6

and k = 4 × 6

k = 24

The correct option is A, equilibrium price increases from $6 to $8.

In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.

Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.

If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).

From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.

So the correct answer is: equilibrium price increases from $6 to $8.

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Answer:

1/16

Step-by-step explanation:

3/4 divide by 12=1/16

Answer:

56 cola flavored gumboils

Step-by-step explanation:

Bob's 40 count of gumballs has 16 cola gumballs

Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5

There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs

So number of cola gumballs left is expected to be  2/5 x 140 = 56

This is only a prediction based on Bob's sample of 40 cola gumballs

Answer:

Step-by-step explanation:

\(13x^2-16x=x^2-x\\\\13x^2-16x-x^2+x=0\\\\12x^2-15x=0\\{\qquad}^{\div3}\qquad\quad^{\div3}\\4x^2-5x=0\quad\implies\quad a=4\,,\ b=-5\,,\ c=0\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4\cdot4\cdot0}}{2\cdot4}=\dfrac{5\pm\sqrt{25}}8\\\\\\x_1=\dfrac{5+5}8=\dfrac54\,,\qquad x_2=\dfrac{5-5}8=0\)

Answer:

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

Answer:

5x-10

Step-by-step explanation:

You can add the x together, 2+3 is 5 so we have 5x.

The you add the other numbers, -8+-2 is -10.

You then can put the addition in, and have 5x+-10. Since 10 is a negative, there's no need to put the addition sign, so 5x-10 would be the answer.

The people who went to the concert will be 53 Adults and 39 Children respectively.

We will solve this problem with the help of a Binomial equation.

Let the number of adults is X and the number of children is Y.

Our first equation will be =

X + Y = 92

The total cost for adults is $3 and for Children is $2.25.

The total receipt for the concert is $246.75.

Our second equation will be =

3X + 2.25Y = 246.75

From equation 1, we get

X + Y = 92

X = 92-Y

Substitute this in equation second equation, and we get

3(92-Y) + 2.25Y = 246.75

276 - 3Y + 2.25Y = 246.75

-0.75Y = 246.75 - 276

-0.75Y = -29.25

Y = 39

So, our number of Children is 39.

Putting the value of Y in the first equation, we get:

X = 92 - 39 = 53

So, our number of adults is 53.

Therefore 53 Adults and 39 Children went to the concert respectively.

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Answer:

A and c

Step-by-step explanation: