Simplify:
3(8) ° . (3) -2

Answer:in decimal form it is 0.12. in 12/100

Step-by-step explanation:

Answer: 60 %

Step-by-step explanation:

Percentage of students passed the test = (number of students who passed the test / total number of students) x 100

                                                                     = 30 / 50 x 100 % = 60 %

The length of the garden will be 14.75 feet.

It was illustrated that the dad has 26 feet of fencing to go around the garden.

Also, the person wants the length of the garden to be 3 1/2 feet longer than the width.

Let the width be given as x.

Therefore the length will be x + 3.5

This will be illustrated as:

x + x + 3.5 = 26

2x + 3.5 = 26

Collect like terms

2x = 26 - 3.5

2x = 22.5

Divide

x = 22.5 / 2

x = 11.25

Therefore, the length will be:

= x + 3.5

= 11.25 + 3.5

= 14.75 feet.

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The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

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Answer:

10

Step-by-step explanation:

Bisect the 72° angle to get an exterior angle of 36°.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.

360°/36° = 10

Answer: There are 10 sides.

If b be a subset of a where |a| = n and |b| = k, then the number of subsets of a whose intersection with b has exactly one element is k × (n-k) C(k-1)

Let's first choose the one element that must be in the intersection of any subset of A with B. Since B has k elements, there are k choices for this element.

Now, we need to choose the remaining (k-1) elements of the subset from A - B, which has n-k elements. There are (n-k) choose (k-1) ways to do this.

Therefore, the total number of subsets of A whose intersection with B has exactly one element is

k × (n-k) choose (k-1)

Alternatively, we can write this as

k × (n-k)C(k-1)

where nCk represents the number of ways to choose k items from a set of size n using combinations.

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Answer:

Kim's Family spends $62.50 on dinner. They leave an 18% tip. After tip, their bill should come to $73.75

Step-by-step explanation:

If this isnt the correct answer then try 11.25 as the answer

The differential equation of the form whose all other solutions diverge from is given by dy/dt = k(y - a), where k is a positive constant and a is the reference point.

To write down a differential equation of the form whose all other solutions diverge from, we can use the concept of an unstable equilibrium.

An unstable equilibrium occurs when a small perturbation from the equilibrium point causes the system to move away indefinitely.

A simple example of an unstable equilibrium is a ball balanced on top of a hill. If the ball is disturbed slightly, it will roll down the hill and not return to its original position.

To represent this in a differential equation, we can consider a system where the derivative of the dependent variable is proportional to the distance from a reference point.

Let's denote the dependent variable as y(t) and the reference point as a. The differential equation can be written as:

dy/dt = k(y - a)

Here, k is a constant that determines the rate at which the system moves away from the reference point. If k is positive, the system will diverge from a, while if k is negative, it will converge towards a.

In conclusion, the differential equation dy/dt = k(y - a) is of the form whose all other solutions diverge from the reference point a. The constant k determines the rate at which the system moves away from the reference point. If k is positive, the system will diverge from a, while if k is negative, it will converge towards a. This equation is a representation of an unstable equilibrium, where any deviation from the reference point causes the system to move away indefinitely.

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The probability for choosing a bead is given as follows:

0.16 = 16%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes in this problem is given as follows:

24 + 42 + 84 = 150.

Out of those, 24 are beads, hence the probability is given as follows:

24/150 = 12/75 = 0.16 = 16%.

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Answer: x=6

Step-by-step explanation:

110= 19x-4

110+ 4= 114

114÷ 19= 6

Answer:

6

Step-by-step explanation:

Because the bottom left is 110 the top right must also be, and 6*19-4=110

Answer:

no

Step-by-step explanation:

that is 20 hours a week, 2 more than you can work each week

The first twenty rows contain a total of 400 asterisks.

To find the total number of asterisks (*) in the first twenty rows, we can observe that each row has an odd number of asterisks. The number of asterisks in each row is given by the formula 2n - 1, where n represents the row number.

Using this formula, we can calculate the number of asterisks in each row and sum them up to find the total. Here's the breakdown for the first twenty rows:

Row 1: 2(1) - 1 = 1 asterisk

Row 2: 2(2) - 1 = 3 asterisks

Row 3: 2(3) - 1 = 5 asterisks

Row 4: 2(4) - 1 = 7 asterisks

Row 5: 2(5) - 1 = 9 asterisks

Row 6: 2(6) - 1 = 11 asterisks

Row 7: 2(7) - 1 = 13 asterisks

Row 8: 2(8) - 1 = 15 asterisks

Row 9: 2(9) - 1 = 17 asterisks

Row 10: 2(10) - 1 = 19 asterisks

Row 11: 2(11) - 1 = 21 asterisks

Row 12: 2(12) - 1 = 23 asterisks

Row 13: 2(13) - 1 = 25 asterisks

Row 14: 2(14) - 1 = 27 asterisks

Row 15: 2(15) - 1 = 29 asterisks

Row 16: 2(16) - 1 = 31 asterisks

Row 17: 2(17) - 1 = 33 asterisks

Row 18: 2(18) - 1 = 35 asterisks

Row 19: 2(19) - 1 = 37 asterisks

Row 20: 2(20) - 1 = 39 asterisks

To find the total, we sum up the number of asterisks in each row:

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 = 400

Therefore, the first twenty rows contain a total of 400 asterisks.

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The model that fits the data is a linear model and the equation is y = -72.5x + 2102.6

See attachment

Based on the graph, the model would you choose to fit this data is a linear regression, and the equation is

y = -72.5x + 2102.6

This is because the points appears to be linear

We have

x = 3

So, we have

y = -72.5 * 3 + 2102.6

y = 1885.1

So, the amount is 1885.1

Here, we have

y = 0

So, we have

-72.5x + 2102.6 = 0

This gives

x = 29

Hence, the time is 29 minutes

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The nth term of an AP with the first term a_1 and the common difference d is given by a_n = a_1 + (n-1)d. The nth term of the given AP is a_n = -54 + (n-1)7.

Arithmetic Progression (AP) is a sequence of numbers in which the difference between the two consecutive numbers is always the same. Each number in the sequence is called a term of the progression. It is a type of sequence where the difference between consecutive terms is constant.

The given expression is an arithmetic progression (AP), in which the common difference between consecutive terms is 7. An AP is a sequence of numbers where each term after the first is formed by adding a fixed value to the preceding one.

The first term of the AP is given as a_1=-54 and the common difference (d) is 7. Thus, the nth term of the given AP can be found using the formula a_n = a_1 + (n-1)d. Substituting the values in this formula, we get a_n = -54 + (n-1)7.

Therefore, the nth term of the given AP is a_n = -54 + (n-1)7.

For example, if n = 10, then the 10th term of the given AP is a_10 = -54 + (10-1)7 = -54 + 63 = 9.

In general, the nth term of an AP with the first term a_1 and the common difference d is given by a_n = a_1 + (n-1)d.

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The nth term of the given AP is \(a_n\) = -54 + (n-1)7. The nth term of an Arithmetic Progression with the first term \(a_1\) and the common difference d is given by \(a_n\) =    \(a_1\)  + (n-1)d.

It is a sequence of numbers in which the difference between the two consecutive numbers is always the same. Each number in the sequence is called a term of the progression.

The given expression is an arithmetic progression (AP), in which the common difference between consecutive terms is 7.

The first term of the AP is given as \(a_1\) =-54 and the common difference (d) is 7.

Thus, the nth term of the given AP can be found using the formula

\(a_n\) =  \(a_1\) + (n-1)d.

Substituting the values in this formula, we get

\(a_n\) = -54 + (n-1)7.

Therefore, the nth term of the given AP is

\(a_n\) = -54 + (n-1)7.

In general, the nth term of an AP with the first term \(a_1\) and the common difference d is given by \(a_n\) =  \(a_1\)  + (n-1)d.

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Question:

Find the nth term by using the given data.

\(a_1\) =-54 ; \(a_n\) = \(a_(n-1)\) +7

Answer:

\(y = \frac{h - k}{x} \)

The probability that the total of the number on the dice exceeds 6 is 1/12.

When the two fair dice are thrown the total possible outcome are,

= 6 x 6

= 36

So, there are a total of 36 possible outcomes.

If one of the dice shows 3, then the total favorable outcomes that the sum of the numbers on the dice exceeds 6 is,

(3+4)(3+5)(3+6)

Hence, the total possible favorable outcomes are 3.

Probability of an event = Total favorable outcomes/total possible outcomes.

Probability that the sum exceeds 6 = 3/36

Probability that the sum exceeds 6 = 1/12

So, Probability that the sum exceeds 6 is 1/12.

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Answer:

You need to be more specific of this question.

Solution for x+12=20 equation:

1x + 12 = 20

1x = 20 - 12

1x = 8 (divide both sides by 1 to get x)

1x/1 = 8/1

x = 8

The percentage of the data values in the box-and-whiskers plot, that are greater than or equal to 92, which is the 75th percentile, based on the five number summary, are 25 percent of the data.

The five number summary of a box-and-whiskers plot are value of the minimum, the first quartile, the median, the third quartile and the maximum value of the set of data.

Please find attached the possible box-and-whiskers plot in the question, obtained from a similar question on the internet

The five number summary from the box-and-whiskers plot are;

Minimum value = 82

The first quartile or the 25th percentile = 87

The median, second quartile or the 50th percentile = 90

The third quartile or the 75th percentile = 92

The value 92 on the data represents the 75th percentile, therefore, the percentage of the data that are greater than or equal to 92 are; 100 - 75 = 25 percent

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Answer:

A

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 )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (5, 4) ← 2 points on the line

m = \(\frac{4+2}{5+5}\) = \(\frac{6}{10}\) = \(\frac{3}{5}\)

The line crosses the y- axis at (0, 1) ⇒ c = 1

y = \(\frac{3}{5}\) x + 1 → A

The slope-intercept form of the equation is y=3/5x+1. Therefore, option A is the correct answer.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

The given coordinate points on the line are (-5, -2) and (5, 4).

Now, slope =(4-(-2))/(5-(-5))

= 6/10

= 3/5

Substitute m=3/5 and (x, y)=(-5, -2), we get

-2=3/5 (-5)+c

-2=-3+c

c=1

Substitute m=3/5 and c=1, we get

y=3/5x+1

Therefore, option A is the correct answer.

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\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)

Step-by-step explanation:

First let's convert 2x - 3y = 12 into \(y = mx + b\)  form.

In order to do this, solve for y.

\(2x-3y=12\)

\(-3y=-2x+12\)

\(y=\frac{2}{3} x-4\)

This shows us that the slope is   \(\boxed{\frac{2}{3}}\)

Now we use the point-slope formula:

\((y-y1)=m(x-x1)\)

where m is the slope and y1 and x1 are the point the line passes through

Using the point (-6,2) and slope, 2/3, we can find the equation:

\((y-2)=\frac{2}{3} (x-(-6))\)

\((y-2)=\frac{2}{3} (x+6)\)

\((y-2)=\frac{2}{3} x+4\)

\(\large\boxed{y=\frac{2}{3} x+6}\)

Answer:

100 students were asked.

Step-by-step explanation:

11+21+ 33+ 23+ 12

11+12=  23

23+ 23= 46

46+ 21= 67

67+ 33= 100

The relationship between the slopes and y-intercepts of Function 1 and Function 2. Please provide the necessary details, and I will be happy to assist you further.

To determine the relationship between the slopes and y-intercepts of two functions, we need to compare their respective values. Without specific functions or numerical values, it is not possible to provide a definitive answer. However, I can explain the concept of slope and y-intercept comparison between functions.

The slope of a function represents the rate at which the function changes in the vertical direction per unit change in the horizontal direction. It indicates the steepness or inclination of the function. A greater slope means a steeper line.

The y-intercept of a function represents the point at which the function intersects the y-axis, that is, the value of the function when the input (x) is zero. It indicates the initial value or starting point of the function.

Comparing the slopes of two functions allows us to determine which function is steeper or has a greater rate of change. Comparing the y-intercepts helps us understand the starting points or initial values of the functions.

Without specific information about the equations or values of the slopes and y-intercepts for Function 1 and Function 2, we cannot determine which statement is true.

To make a decision, it is crucial to have more context or numerical values for the slopes and y-intercepts. Once you provide that information, I will be able to help you identify the correct statement.

In summary, without specific functions or values, it is not possible to determine the relationship between the slopes and y-intercepts of Function 1 and Function 2. Please provide the necessary details, and I will be happy to assist you further.

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The fundamental algebraic structure of the function r(x)=tan2(x) is a composition of basic functions.

We are given a function r(x)=tan2(x). In order to determine the fundamental algebraic structure of the given function, let's consider its properties.
tan2(x) = tan(x) * tan(x)
We know that the function tan(x) is a basic function.
The composition of basic functions is a function that can be expressed as f(g(x)).
This is because the function r(x) is composed of two basic functions, tan(x) and tan(x).
Therefore, the answer to the question is A. A composition f(g(x)) of basic functions.

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Answer:

y=2 or y-2=0

Step-by-step explanation:

to find the equation first find the slope m points (-1,2) and (5,2)

m=y2-y1/x2-x1 =2-2/5-(-1)=0/6=0

y=mx+b  the slope is zero then y=b=2

Answer:

33

Step-by-step explanation:

8(2)^2 + 2(2) -3 = 33

Hello!

Just replace w with 2, because the question states that w = 2.

The expression value is 33.

___________________

Att. Isaiasdesign03

Moderator in Brainly BR

Answer: His slope should be positive because the trend line is slanted up to the right.

Step-by-step explanation:

This answer is correct because the third line is slanted up to the right, so it makes it positive.