A parallelogram has sides of length 4.2 kilometers and 17 kilometers. What is the perimeter?

Answer:

The complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

Step-by-step explanation:

Given the sequence expression

aₙ = 15 + 3(n-1)

Substituting n = 1 for the first term

aₙ = 15 + 3(n-1)

a₁ = 15 + 3(1-1)

a₁ = 15 + 3(0)

a₁ = 15 + 0

a₁ = 15

Substituting n = 5 for the 5th term

aₙ = 15 + 3(n-1)

a₅ = 15 + 3(5-1)

a₅ = 15 + 3(4)

a₅ = 15 + 12

a₅ = 27

Substituting n = 10 for the 10th term

aₙ = 15 + 3(n-1)

a₁₀ = 15 + 3(10-1)

a₁₀ = 15 + 3(9)

a₁₀ = 15 + 27

a₁₀ = 42

Substituting n = 20 for the 20th term

aₙ = 15 + 3(n-1)

a₂₀ = 15 + 3(20-1)

a₂₀ = 15 + 3(19)

a₂₀ = 15 + 57

a₂₀ = 72

Therefore, the complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

The value of the expression when b = -3 is 24

Functions can be defined as expression, rules or law that explains the relationship between two variables:

It is also important to note that the absolute value of a number is the distance of the number from zero irrespective of its direction in a number line.

Absolute value of a number must take a positive sign.

It is denoted with the symbol '| | '

Given the expression;

| -4b - 8 | + | -1 - b²| + 2b

Substitute the value of b as -3

We have;

|-4(-3) - 8| + |-1 - (-3)²| + 2(-3)

expand the bracket

|-12-8| + |-1 - 9| - 6

Take the absolute values

20 + 10 - 6

24

Thus, the value of the expression when b = -3 is 24

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Answer:

2/7

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

30/105

find the GCF of 30 and 105=15

30/15=2

105/15=7

so 2/7

Hope this helps!

Answer:b,c

Step-by-step explanation:i got it correct

False. The correlation coefficient can vary between -1 and 1, and it can be negative.

The correlation coefficient is a statistical measure that quantifies the strength and direction of the relationship between two variables. It ranges from -1 to 1, inclusive. A value of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable increases proportionally. A value of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases proportionally. A correlation coefficient of 0 indicates no linear relationship between the variables.

Therefore, the statement that the correlation coefficient varies between 0 and 1 and can never be negative is false. The correlation coefficient can indeed be negative, indicating a negative relationship between the variables. It is important to note that the correlation coefficient only measures the strength and direction of the linear relationship between the variables and does not capture other types of relationships, such as non-linear or causal relationships.

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Answer:

Below in bold.

Step-by-step explanation:

4y + 2 > 2.8

4y > 2.8 - 2

4y > 0.8

y > 0.8/4

y > 0.2.

By finding and using the scale factor for the model, we conclude that the height of the model is 9.6 inches.

The ratio between the model's width and the real width is the scale factor, and all the dimensions change following that scale factor.

We have:

8 in = 10ft

1 ft = (8/10) in

This means that each feet in the real life, will be represented with (8/10) inches in the model.

Now we know that the real height is 12ft, then the model's height will be:

12* (8/10) in = 9.6 in

So the correct option is B.

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Answer:

9.6

Step-by-step explanation:

took usatest prep got a 100%

the expression in terms of t for the total number of sweets Adam buys is 15t.

If Adam buys "t" tubes of sweets, and there are 15 sweets in each tube, then the total number of sweets Adam buys can be expressed as:

15t

what is expression?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, ×, ÷, =, <, >) that represents a value or a relationship between values. Expressions can be simple or complex and can involve variables, constants, and functions.

For example, 5 + 3 is a simple arithmetic expression that represents the sum of 5 and 3, which is 8. Another example of an expression is (x + 2) ÷ 4, which represents the result of dividing the sum of x and 2 by 4.

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The end of the plank is sliding along the ground at a rate of approximately -0.08 m/s when it is 1.4 meters from the wall of the building. The negative sign indicates that the end of the plank is sliding in the opposite direction.

To find how fast the end of the plank is sliding along the ground, we can use related rates. Let's consider the position of the end of the plank as it moves along the ground.

Let x be the distance between the end of the plank and the wall of the building, and y be the distance between the end of the plank and the ground. We are given that dx/dt = 0.26 m/s, the rate at which the worker pulls the rope.

We can use the Pythagorean theorem to relate x and y:

x² + y² = 5²

Differentiating both sides of the equation with respect to time, we get:

2x(dx/dt) + 2y(dy/dt) = 0

At the given moment when x = 1.4 m, we can substitute this value into the equation above and solve for dy/dt, which represents the rate at which the end of the plank is sliding along the ground.

2(1.4)(0.26) + 2y(dy/dt) = 0

2(0.364) + 2y(dy/dt) = 0

0.728 + 2y(dy/dt) = 0

2y(dy/dt) = -0.728

dy/dt = -0.728 / (2y)

To find y, we can use the Pythagorean theorem:

x² + y² = 5²

(1.4)² + y² = 5²

1.96 + y² = 25

y² = 23.04

y = √23.04 ≈ 4.8 m

Substituting y = 4.8 m into the equation for dy/dt, we have:

dy/dt = -0.728 / (2 * 4.8) ≈ -0.0757 m/s

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Answer:

21

Step-by-step explanation:

tee hee

Answer:

if you are talking about distance on cars i have provided you with a chart of      different cars prices and the distance they went/ Vehicle Miles per gallon Gas price, per mile

Subaru Outback 21 $0.14

Chrysler Sebring 21 $0.14

Porsche Boxster 22 $0.13

 PT Cruiser   22  |$0.13

\

Answer:

~6.5 Levels

Step-by-step explanation:

2 levels every hour = 2:1

we take that ratio and multiply it by 3 for starters:

6 and half of our ratio

basically 6.5

The equation of the line for the given point (-2,-5) and slope m=1/2

as y = (1/2)x - 4.

Given, the point = (-2,-5)

m = 1/2

we know that the equation of a line passing through the point and slope is:

y - y₁ = m(x-x₁)

y - (-5) = 1/2 (x-(-2))

y + 5 = 1/2 (x+2)

2y + 10 = x + 2

arrange the constants and variables on one side.

2y - x = 2 - 10

2y - x = -8

2y = x - 8

hence slope intercept form:

y = mx + c

y = x/2 - 8/2

y = (1/2)x - 4

hence m = 1/2 and c = 4

Hence we get the equation of the line as y = (1/2)x - 4.

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5x+6y is the answer i jope this helps you

Answer:

x=19

Step-by-step explanation:

Answer: this might help

Answer:

I think you have to calculate the length and the units like 4+7 and then × it

The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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Answer:

3x² + 2x

Step-by-step explanation:

x would multiply with each term in the bracket

x (3x) + x(2)

----> 3x² +2x

hope the above solution will help you

please mark my answer as brainliest

Answer:

∠m = ∠n + ∠p.

Step-by-step explanation:

The exterior angle of a triangle is always equal to the sum of the two other angles inside a triangle. We can prove this:

Let the third angle in the triangle be ∠q. Therefore:

180 - ∠m = ∠q. (Supplementary angles)

However:

180 - ∠n - ∠p = ∠q. (Sum of interior angles of a triangle)

This means that ∠m and ∠n + ∠q are equal. We can write this as a relationship:

∠m = ∠n + ∠p.

a)  The value of x = (364 - 3m) / 5

b)  The measure of angle 1 is 360 - 3m.

a) To solve for x in the given problem, we need to apply the properties of angles in a polygon.

In a polygon with n sides, the sum of the interior angles is given by the formula: (n - 2) * 180 degrees.

In the given problem, AFHK is a quadrilateral, so it has 4 sides. Therefore, the sum of the interior angles is (4 - 2) * 180 = 2 * 180 = 360 degrees.

We know that the measure of angle A is 5x - 4. To find the value of x, we can set up an equation using the sum of the interior angles:

(5x - 4) + (m) + (m) + (m) = 360

Since we don't have information about the measures of angles F, H, and K, we can represent them with m.

Simplifying the equation, we get:

5x - 4 + 3m = 360

To solve for x, we need to isolate the variable. Subtracting 3m from both sides of the equation, we get:

5x - 4 = 360 - 3m

Next, adding 4 to both sides of the equation, we get:

5x = 364 - 3m

Finally, dividing both sides by 5, we obtain:

x = (364 - 3m) / 5

b) This is the solution for x in terms of m.

To find the measure of angle 1, we can substitute the value of x into the expression for angle 1, which is 5x - 4:

<1 = 5x - 4

Substituting the expression for x we obtained earlier, we get:

<1 = 5((364 - 3m) / 5) - 4

Simplifying, we have:

<1 = 364 - 3m - 4

<1 = 360 - 3m

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Answer:

The distance is 7.3 units.

Step-by-step explanation:

Two given points: (-3, 1) and (4, -1)

\(\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Here given:

Applying the formula:

\(\sf d = \sqrt{(4 - (-3))^2 + (-1 - 1)^2}\)

\(\sf d = \sqrt{(7)^2 + (-2)^2}\)

\(\sf d = \sqrt{49 + 4}\)

\(\sf d = \sqrt{53} \ \approx \ 7.28 \ \approx \ 7.3 \ (rounded)\)

Answer:

7.3

Step-by-step explanation:

The distance of a line segment between two points (x1, y1) and (x2, y2) is given by the formula

\(d = \sqrt{(x2-x1)^2 + (y2-y1)^2}\)

If we look at the graph,

the leftmost point of the line is at (-3, 1). Let's call this (x1, y1)

the rightmost point is at (4, -1). Let's call this (x2, y2)

Substituting these values into the distance formula gives us

\(d = \sqrt{(4-(-3)^2 + (1-(1)^2} \\ \\d = \sqrt{(7)^2 + (-2)^2} \\ \\d = \sqrt{49 + 4} \\\\d = \sqrt{(x2-x1)^2 + (y2-y1)^2}\\\\d = \sqrt{53} = 7.28\)

Rounded to one decimal place, this is 7.3

Answer:

11. X=76

Step-by-step explanation:

Answer:30

Step-by-step explanation:

The mean with the outlier is 20.2.

The median with the outlier is 18.

The mean without the outlier is 17.6.

The median without the outlier is also 18.

To find the middle, we must first sort the dossier from shortest to capital:

3, 7, 9, 12, 14, 18, 20, 21, 24, 31, 35, 68

When a set of 12 numbers is orderly, the middle is the middle profit. If skilled are an even number of variables, the middle is the average of two together middle principles.

(accompanying deviation) Median = 18

To decide the mean outside the deviation, first away it and therefore recalculate the mean utilizing the staying principles:

20 + 3 + 9 + 21 + 24 + 14 + 18 + 7 + 35 + 12 + 31 = 194

There are now 11 principles, that wealth:

The mean (no outliers) is 194/11 = 17.6.

To reckon the middle outside the oddity, we must organize the staying principles in the following order:

3, 7, 9, 12, 14, 18, 20, 21, 24, 31, 35

When a set of 11 numbers is orderly, the middle is the middle worth. If skilled are an even number of variables, the middle is the average of two together middle principles.

Median (no outliers) = 18

As a result, the mean accompanying the aberration is 20.2 and the middle is 18. The mean, forbidding the oddity, is 17.6, and the middle, forbidding the deviation, is still 18.

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The correct answer to the given question about colored congruent squares is option A) 0.4 < 0.6

This is because Raul shaded 40/100 of the squares yellow, which can also be written as 0.4 as a decimal. He shaded the other 60/100 of the squares green, which can also be written as 0.6 as a decimal. Therefore, we can compare the two decimals and say that 0.4 is less than 0.6. To show how we find the answer 0.4 < 0.6, we can follow these steps:

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Complete Question

Raul has a figure made up of 100 congruent squares. He shaded 40/ 100 of the squares yellow and the other 60/100 of the squares green. Select the decimal expression from the following

0.4 <0.6

0.04 < 0.06

0.4 = 0.6

0.04 = 0.06

0.4 > 0.6

0.04 > 0.06

Answer:

5 meters

Step-by-step explanation:

Based on the situation, it forms into a right triangle. So we will apply the Pythagorean Theorem here. The ladder acts as the hypotenuse while the height from the ground to the window serves as our side "a". We are tasked to solve for "b". Side "b" is the distance from foot of side a to the tip of side c which is the hypotenuse (ladder). We will derive the formula below to solve for b.

c = √( a² + b² )

c² = a² + b²

b² = c² - a²

b = √ ( c² - a² )

b = √ ( 13² - 12² )

b = 5 meters

Correct me if I'm wrong. I hope it helps.

Exercise 3.100 on page 107 deals with finding the probability density of the distance between the point of impact and the center of the target. The solution requires applying statistical principles and deriving a probability density function based on the distribution of impacts

To find the probability density, one would need to consider the distribution of impacts around the center of the target. This distribution can be represented by a probability density function (PDF). By analyzing the given exercise and the information provided, it is possible to determine the specific form of the PDF.

The calculation of the probability density would involve determining the appropriate parameters for the distribution, such as mean and standard deviation. These parameters would be based on the characteristics of the target and the nature of the impact. Once the parameters are established, the probability density function can be derived, providing a mathematical representation of the likelihood of different distances between the point of impact and the center of the target.

In summary, exercise 3.100 on page 107 deals with finding the probability density of the distance between the point of impact and the center of the target. The solution requires applying statistical principles and deriving a probability density function based on the distribution of impacts.

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To find the number of terms needed to approximate the sum of the series within 0.01, we need to consider the convergence of the series. In this case, using the integral test, we can determine that the series converges. By estimating the remainder term of the series, we can calculate the number of terms required to achieve the desired accuracy.

The given series is 1/(n(ln(n))^4, and we want to find the number of terms needed to approximate its sum within 0.01.
First, we use the integral test to determine the convergence of the series. Let f(x) = 1/(x(ln(x))^4, and consider the integral ∫[2,∞] f(x) dx.
By evaluating this integral, we can determine that it converges, indicating that the series also converges.
Next, we can use the remainder term estimation to approximate the error of the series sum. The remainder term for an infinite series can be bounded by an integral, which allows us to estimate the error.
Using the remainder term estimation, we can set up the inequality |Rn| ≤ a/(n+1), where Rn is the remainder, a is the maximum value of the absolute value of the nth term, and n is the number of terms.
By solving the inequality |Rn| ≤ 0.01, we can determine the minimum value of n required to achieve the desired accuracy.
Calculating the value of a and substituting it into the inequality, we can find the number of terms needed to be added to the series to obtain a sum within 0.01.

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