N is a whole number. 2n is greater than 36, 5n is less than 100. what is the value of n?

Answer:

The third side is sqrt(77)

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

2^2 + b^2 = 9^2

4+ b^2 = 81

Subtract 4 from each side

b^2 = 81-4

b^2=77

Take the square root of each side

sqrt(b^2) = sqrt(77)

b = sqrt(77)

The third side is sqrt(77)

-14 is the 81th term.

The first step is to determine the relationship between the numbers in the sequence. When examined, it can be seen that the number decline by 1/5.

To confirm : 2 1/5 - 2 = 1/5

The linear equation that can be used to determine the position of a number is:

2 1/5 - 1/5(x)

Where x is the position of the number

For example, the third number is

2 1/5 - 1/5(3)  = 1 4/5

Given the number, the position of the number can be determined using the above linear equation:

-14 = 2 1/5 - 1/5(x)

In order to determine the value of x, take the following steps:

Multiply through by 5

(-14 x 5) = (11/5 x 5) - (x / 5 x 5)

-70 = 11 -x

Combine similar terms: 70 + 11 = x

Add similar terms: x = 81

To learn more about mathematical sequence, please check: https://brainly.com/question/26578277

#SPJ1

Two lines that form a right angle at their point of intersection are perpendicular to each other.

The negative reciprocal is equal to the slope of the perpendicular lines. A transversal line is a line that is perpendicular to two parallel lines. Equal pairs of alternate angles and matching angles are created in the case of the transversal line.

When two lines intersect at a right angle, they are perpendicular to each other. The junction is referred to as the point of perpendicularity. The perpendicular lines form a 90-degree angle, and they can be used to create a coordinate system or used in geometric constructions. Such lines are called perpendicular lines.

Correct Question :

Two lines that form a right angle at their point of intersection are called what?

To learn more about perpendicular here:

https://brainly.com/question/29268451

#SPJ4

We can prove that the square is a special type of rectangle, which is one with all sides equal. Let us consider rectangles with perimeter 10, and determine which of them has the maximum area. Since the perimeter is 10, each of the dimensions, length, and width is less than 5.

Let us call the length of the rectangle l and its width w, so the perimeter P of the rectangle is given by: `P = 2(l + w) = 10`Solving this equation for l, we obtain `l = 5 - w`. The area A of the rectangle is given by `A = lw = w(5 - w)`. We can write the area as a function of w: `A(w) = 5w - w^2`.This function represents a parabola, and its vertex is located at `w = -5 / 2(-1) = 5 / 2`. Therefore, the maximum area of the rectangle with a perimeter of 10 is obtained when `w = 5 / 2`. In this case, the length of the rectangle is `l = 5 - w = 5 - 5 / 2 = 5 / 2`.

Thus, the rectangle with a perimeter of 10 and maximum area is a square with sides of length `5 / 2`. It is important to note that this result is true for any shape with four sides that has a fixed perimeter; the shape with the maximum area is always a square. Hence, we can conclude that the square has the largest area of all rectangles with a perimeter of 10.

To know more about dimensions visit :

https://brainly.com/question/31106945

#SPJ11

The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.

The volume of the building will be calculated by the formula -

Volume = length × breadth × height

Thus, keeping the value of each component of building in the formula to find the volume of the building.

Volume of building = 255 × 255 × 42

Performing multiplication on Right Hand Side of the equation to find the value of volume

Volume of building = 2,731,050 feet³

Therefore, the volume of the building is 2,731,050 feet³.

Learn more about volume -

https://brainly.com/question/463363

#SPJ4

Answer: -4.1

Step-by-step explanation:

0.4 - 4.5 = -4.1

Answer:

(x + 10)(x - 10)

Step-by-step explanation:

x² - 100 = x²- 10²

x² - 100 is the difference of two squares.

The factorization of the difference of two squares is

a² - b² = (a + b)(a - b)

x² - 100 = (x + 10)(x - 10)

Answer:

22

Step-by-step explanation:

Answer:

The answer is B and C

Step-by-step explanation:

Answer:

12k+8

Step-by-step explanation:

(3k+2)x4

(4x3K)+(4x2)

12k+8

Answer:

12k+8

Step-by-step explanation:

Answer:

B = (5, 1).

Step-by-step explanation:

From the formula for the midpoint of  a line :-

(-1 + x)/2 , (5 + y)/2 = (6/2, 6/2)    where x and y are the coordinates of B.

so (-1 + x)/2 = 6/2

-1 + x = 6

x = 5.

and (5 + y)/2 = 6/2

5 +  y = 6

y =  1.

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

For more questions on Length .

https://brainly.com/question/28322552

#SPJ8

Answer:

D

Step-by-step explanation:

The equation would be y = -2x+3. If we take y+2x=3, and subtract 2x from both sides, we get y = -2x+3, which is the right equation.

Answer:

2x+y =3

Step-by-step explanation:

The line is given by slope intercept form

y = mx+b  where is the slope and b is the y intercept

The slope is -2 and the y intercept is 3

y = -2x +3

Add 2x to each side

2x+y =3

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

For similar question on population proportion.

https://brainly.com/question/29516589  

#SPJ8

Step-by-step explanation:

For a

Let the another angle be x then

x + 51° = 90° {being complementary angles }

x = 90° - 51°

x = 39°

For b

Let the another angle be x then

x + 113° = 180° {being supplementary angles }

x = 180° - 113°

x = 67°

Step-by-step explanation:

2.39 x 10^5 = 239000

239000 / 6 = 39833.333

39834 men

The p-value for testing the hypothesis H0: p = 0.45 versus H1: p < 0.45, with a sample size of n = 150, observed proportion x = 62, and a significance level α = 0.05, is approximately 0.0014.

The p-value approach is used to assess the strength of evidence against the null hypothesis (H0) based on the observed data. In this case, the null hypothesis states that the true population proportion (p) is equal to 0.45, while the alternative hypothesis (H1) suggests that p is less than 0.45.

To perform the test using the p-value approach, we calculate the test statistic and then determine the corresponding p-value. The test statistic for testing a proportion is given by z = \(\frac{ (p-hat - p0) }{\sqrt{\frac{(p0 * (1 - p0))}{n} } }\), where p-hat is the observed proportion, p0 is the hypothesized proportion under the null hypothesis, and n is the sample size.

Given n = 150 and x = 62, we calculate the observed proportion as p-hat = \(\frac{x}{n}= \frac{62}{150}= 0.4133\). Plugging in these values, we find the test statistic as z = \(\frac{(0.4133 - 0.45)}{\sqrt{\frac{(0.45 * (1 - 0.45))}{150} } } = -2.455\).

Next, we determine the p-value, which is the probability of obtaining a test statistic as extreme as or more extreme than the observed test statistic, assuming the null hypothesis is true. Using a standard normal distribution table or calculator, we find the p-value to be approximately 0.0014.
Since the p-value (0.0014) is less than the significance level \((\alpha = 0.05)\), we have strong evidence to reject the null hypothesis. This suggests that the observed proportion is significantly less than the hypothesized proportion, supporting the alternative hypothesis.

Know more about Hypothesis here: https://brainly.com/question/32298676

#SPJ11

The expression that represents the total number of illustrations in Julio's sketch pad after his museum visit is given as follows:

Total number = 20 + x.

The expression that represents the total number of illustrations in Julio's sketch pad after his museum visit is obtained adding the previous amount of illustrations to the number of illustrations that were added during the visit to the museum, hence:

Total number of illustrations = Previous number of illustrations + number of illustrations added during the visit.

In the context of this problem, the values of these parameters are given as follows:

Hence the expression is defined as follows:

Total = 20 + x.

More can be learned about the addition of two amounts at https://brainly.com/question/25421984

#SPJ1

The value of x in the chord intersection is 16 units.

The intersecting chord theorem  states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.

Therefore, lets find the value of x in the intersecting chords as follows:

15 × x = 24 × 10

15x = 240

divide both sides of the equation by 15

x = 240 / 15

x = 16

Therefore,

x = 16 units

learn more on chord here: https://brainly.com/question/29212760

#SPJ1

since the powers are same, ignore 'em , and let's calculate the bases.

-16.(1/2)

-8.1 (upon cancellation)

ans = -8

hope it helps...!!!

Step-by-step explanation:

x+y=12

3×+y=20

×=12-y

3 (12-y)+y=20

36-3y+y=20

36-4y=20

-4y=20-36

-4y= -16

y =16÷4

y=4

×+y=12

×+4=12

×=12-4

×=8

therefoer;y=4,x=8

Answer:

C

Step-by-step explanation:

you can use the website desmos and literally type the exact equations in and it will show the graph.

Answer:

D. 6(x – 3)

Step-by-step explanation:

Answer:

3:1

Step-by-step explanation:

If you divide all the coordinates in the first set by 3, you will get the second set's coordinates. Therefore, the ration to "the first set" to "the second set" is 3:1

Answer:

134

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)

x = 1/2 ( m DH + m BC)

x = 1/2 (144+ 124)

x = 1/2 ( 268)

x = 134

Nevertheless, we cannot draw any additional judgements about the expressions students' general performance or how representative this sample of pupils is of the larger community.

In mathematics, an expression is a set of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that expresses a quantity or value. Expressions might be simple, like "3 + 4", or complex, like "(3x2 - 2) / (x + 1)". They may also include functions such as "sin(x)" or "log(y)". Expressions can be evaluated by substituting values for the variables and carrying out the mathematical operations in the given order. For instance, if x = 2, the formula "3x + 5" is 3(2) + 5 = 11. In mathematics, expressions are widely used to explain real-world situations, build equations, and simplify complex mathematical issues.

We can make the following observations about Mrs. Perkins' students based on the line plot:

A student's highest possible score is ten.

The most frequently occurring score is 6, which happens three times.

The scale goes from 2 to 10.

The plot displays a total of ten scores.

As a result, we may deduce that Mrs. Perkins' kids scored between 2 and 10, with 6 being the most common. Nevertheless, we cannot draw any additional judgements about the students' general performance or how representative this sample of pupils is of the larger community.

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

Based on the above, Keenan paid $9,420 in federal income tax in 2009.

Let X be the amount Keenan paid in taxes in 2009.

According to the problem, Keenan paid 70% less in 2010 than he did in 2009. This means that he paid only 30% of what he paid in 2009, since 100% - 70% = 30%.

We can express this mathematically as:

0.30X = 2,826

To solve for X, we can divide both sides of the equation by 0.30:

X = 2,826 ÷  0.30

X = 9,420

Therefore, Keenan paid $9,420 in federal income tax in 2009.

Learn more about income tax from

https://brainly.com/question/30157668

#SPJ1

YES that is irrational!!!!

Answer: Exponential Decay function; -.61%

Step-by-step explanation:

0.9939 is the rate which determines growth or decay since it is less than 1 the function is a decay.

1 - .9939 = .0061 move the decimal 2 places to the right to make it a percentage and it equals 0.61%

I think it is 3.805 × 10 to the 7th power

Answer:

it is 3.805 × 10 to the 7 power