An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 15 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

Answers

Answer 1

Answer: 54 in

Step-by-step explanation:

Since the altitude drawn from the vertex of the isosceles triangle forms two congruent right triangles and divides the base into two equal segments, we can work with one of the right triangles to find the length of the other side of the isosceles triangle.

Let's denote the length of the altitude as a, the length of half the base as b, and the length of the other side of the isosceles triangle as c. From the problem, we know that a = 18 inches and b = 15 inches / 2 = 7.5 inches.

We can use the Pythagorean theorem to find the length of c:

a² + b² = c²

Substitute the known values:

18² + 7.5² = c²

324 + 56.25 = c²

380.25 = c²

Now, take the square root of both sides to find the length of c:

c = √380.25

c ≈ 19.5 inches

Since the isosceles triangle has two sides with equal length, the perimeter is:

Perimeter = base + 2 * c

Perimeter = 15 + 2 * 19.5

Perimeter = 15 + 39

Perimeter = 54 inches

Thus, the perimeter of the isosceles triangle is approximately 54 inches.


Related Questions

A rectangle has a diagonal of 2 cm and a length of 3(square root). Find its width

Answers

Answer:

1 cm

Step-by-step explanation:

To answer this question we use Pythagoras theorem. This is a² + b² = c², where a is the length, b is the width and c is the hypotenuse (diagonal).

As we are already given the diagonal, we have to rearrange the formula to apply to our question...

c² - a² = b²

Now solve...

c = 2² = 4a = √3² = 34 - 3 = 1√1 = 1

This means that our width is 1!

Hope this helps, have a lovely day! :)

help me please and thank you

Answers

yes because it just is.

What value of b completes f(x)=2x^2+bx+74 If the vertex is (-6,2)

Answers

Answer:

The value of b will be completed when b = 24

Step-by-step explanation:

f(x) can also be determined as y.

(-6, 2)

y = 2x²+bx+74

Plug it in.

2 = 2(-6) ² + b (-6) + 74

2 = 2(36) - 6b + 74

2 = 72 - 6b + 74

2 + 6b = 72 + 74

6b = 70 + 74

6b = 144

b = 24

please help. i dont understand math

Answers

The value of x in the parallelogram is 10.

How to find the angle of a parallelogram?

A parallelogram is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The sum of angles in a parallelogram is 360 degrees. The parallelogram JKPQ has the following angles.

Therefore,

m∠J = 2x + 10

m∠P = 3x - 20

Hence, the opposite angles of a parallelogram are congruent.

Therefore,

m∠J  = m∠P

2x + 10 = 3x - 20

2x - 3x = -20 - 10

-3x = -30

divide both sides by -3

x = -30 / -3

x = 10

learn more on quadrilateral here: https://brainly.com/question/29797521

#SPJ1

Ally needs 90 meters of tape for a project. Tape comes in different size rolls. If she bought 50 meters, 22.86 meters, and an 18.288-meter roll, how much tape will she have in all? ___________ meters

Answers

Ally will have 91.148 meters of tape in all if Ally needs 90 meters of tape for a project.

What is Algebraic expression ?

An algebraic expression is a mathematical phrase that can include numbers, variables, and operators (such as addition, subtraction, multiplication, and division), as well as grouping symbols like parentheses.

Ally needs a total of 90 meters of tape for her project. She bought three rolls of tape, one with 50 meters, another with 22.86 meters, and the last one with 18.288 meters. To find the total amount of tape she has, she needs to add the length of all three rolls together.

Adding the length of the first two rolls, we get:

50 meters + 22.86 meters = 72.86 meters

Then adding the length of the third roll to the sum above, we get:

72.86 meters + 18.288 meters = 91.148 meters

Therefore, Ally will have 91.148 meters of tape in all.

To learn more about Algebraic expression from given link.

https://brainly.com/question/31238826

#SPJ1

Sandra and Karen are playing a game of cards with a standard deck of playing cards. Sandra deals Karen a red seven.

Answers

The probability that Karen’s second card will be a black card is 26/51.

What is a probability?

Probability is simply the likelihood of something occurring. When we are uncertain about the outcome of an event, we can discuss the probabilities of various outcomes—how likely they are.

Let R represent the red cards and B represent the black cards.

We are given that a standard deck of playing cards consists of 52 cards. There are 26 black and 26 red cards in a playing deck.

The probability of the first card being red:

P(First R) = [tex]26/52[/tex]

The probability of the Karen’s second card being black:

P(First R) = [tex]26/51[/tex]

Full question "Sandra and Karen are playing a game of cards with a standard deck of playing cards. Sandra deals Karen a red seven. What is the probability that Karen’s second card will be a black card?"

Read more about probability

brainly.com/question/24756209

#SPJ1

HELP ME PLEASE BECAUSE THE QUATER IS ALMOST OVER

Answers

The terms and properties of operations that complete the statement and reasons for the equivalent expressions are;

3. Same

4.The properties of operations to write the equivalent expressions are; (-4), (-4) Distributive property

(-4), (-4), Associative property

(-4), (-3) Distributive property

5. When x = 2, and y = -5 -28·x + 12·y is -116 = -116

What are equivalent expressions?

Equivalent expressions are expressions that have the same value for the values of the input variable.

3. The completed statement is presented as follows;

Equivalent expressions evaluate to the same value when a given set of values of x and y are substituted into both expressions.

4. The expressions in the question can be expanded to collect like terms as follows;

Expression; -28·x + 12·y

The common factor of 28 and 12 is 4, therefore, we get;

-28·x + 12·y = (4 × (-7))·x + (4 × 3)·y

To make the coefficient of the leading term positive, we get;

-28·x + 12·y = (-4 * 7)·x + (-4 * (-3))·y; Distributive property

Factoring the algebraic expression on the right, where the common factor is -4, we get;

(-4 * 7)·x + (-4 * (-3))·y = -4 × (7·x) + -4 × (-3·y);  Associative property

= -4 × ((7·x) + (-3·y));

Therefore; -28·x + 12·y = -4 × (7·x + -3·y); Distributive property

5. Evaluation of the left and right side of the expression, where; x = 2, and y = 5, we get;

-28 × 2 + 12 × -5 = -116

(-4) × ((7 × 2) + (-3 × -5)) = -4 × 29 = -116

The completed equations are therefore;

-28·x + 12·y = -4 × (7·x + -3·y)

-28 × 2 + 12 × (-5) = -4 × (7 × 2 + -3 × (-5))

-116 = -116

Learn more on equivalent expressions here: https://brainly.com/question/28991511

#SPJ1

a child enters a carousel that takes one minute to revolve once around. the child enters at the point ( 1 , 0 ) . assume the carousel revolves counter clockwise. what are the coordinates of the child after 75 seconds?

Answers

The coordinates of the child after 75 seconds on a carousel that revolves once every minute counter-clockwise, assuming the child entered at point (1,0), are (-0.766, -0.643).

Since the carousel revolves once around in one minute, its angular velocity is 2π/60 radians per second or π/30 radians per second.

Let's find the angle that the child has covered in 75 seconds.

angle = (angular velocity) x (time) = (π/30) x 75 = 2.5π

After 2.5π radians, the child has completed 2.5 full revolutions and is back at the starting point. Therefore, the coordinates of the child at point (1, 0) are (-0.766, -0.643).

To know more about carousel:

https://brainly.com/question/30493483

#SPJ4

Find the equation of the exponential function that goes through the points (0,4) and (4,0.25).

Answers

The answer of the given question based on the  exponential function is the exponential function that goes through the points (0,4) and (4,0.25) is: f(x) = 4(0.5)ˣ.

What is Equation?

An equation is a statement that two expressions are equal. It contains an equal sign (=) which separates the two expressions, and it can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots.

The general form of exponential function is:

f(x) = a(b)ˣ

where a is the initial value, b is the base, and x is the independent variable.

We can use the two given points to form a system of equations and solve for the values of a and b.

Using the point (0,4):

f(0) = a(b)⁰ = a = 4

Using the point (4,0.25):

f(4) = a(b)⁴ = 0.25

Now we can substitute a = 4 into the second equation and solve for b:

4(b)⁴ = 0.25

(b)⁴ = 0.25/4 = 1/16

b = (1/16)⁽¹/⁴⁾ = 0.5

Therefore, the exponential function that goes through the points (0,4) and (4,0.25) is: f(x) = 4(0.5)ˣ

To know more about Expression visit:

https://brainly.com/question/1859113

#SPJ1

Which of the choices shown is a correctly identified ordered pair? Responses A A = (2, 1)A = (2, 1) B none of these none of these C B = ( 1, 2)B = ( 1, 2) D C = (-1, -2)C = (-1, -2) E D = (-1, -2)

Answers

The ordered pairs in the quadrants are option A and option D:

A. A= (2, 1)

D. C = (-1, -2)

Define quadrants?

The quadrant is the area that is bounded by the point where the X and Y axes connect. The cartesian plane's two axes, the X and Y axes, intersect at a 90° angle, forming four zones surrounding the intersection that are known as quadrants.

The points are given as:

A = (2, 1)

B = (1, 2)

C = (-1, -2)

D = (-1, -2)

Now, point A is in 1st quadrant so both the points will be positive.

So, A = (2, 1) is an ordered pair.

Now, B is in 2nd quadrant, so x coordinate will be negative and y coordinate will be positive.

B = (1,2) is hence not an ordered pair.

Now, C is in 3rd quadrant, so both the points will be negative.

C = (-1, -2) is an ordered pair.

Similarly, D is in 4th quadrant and x coordinate will be positive and y coordinate will be negative.

D = (-1, -2) is not an ordered pair.

To know more about quadrants, visit:

https://brainly.com/question/7196312

#SPJ1

Express the function graphed on the axes below as a piecewise function.

Answers

Answer:

y = 2/3x +6  for x< -3.

y = 2/3x +1     for x> 3.

Step-by-step explanation:

Explanations are given in attachment!

(9r³-73r² +64r +37)÷(r-7)
Dividing using box method
Show work

Answers

It should be noted that the quotient of the division is 9r^2 + 2r - 5 and the remainder is -5

How to solve the division

In this case, to solve this polynomial division, we can use either long division or synthetic division. Here, we'll use long division:

   9r^2 + 2r - 5

        ___________________________

r - 7  | 9r^3 - 73r^2 + 64r + 37

        - 9r^3 + 63r^2

        --------------------

                 - 10r^2 + 64r

                 + 10r^2 - 70r

                 ----------------

                          -6r + 37

                          -6r + 42

                          --------

                                -5

Therefore, the quotient is 9r² + 2r - 5 and the remainder is -5. Therefore: (9r³-73r² +64r +37)÷(r-7) = 9r^2 + 2r - 5 + (-5)/(r-7).

Learn more about division on:

https://brainly.com/question/25289437

#SPJ1

Triangle RGH is shown where m<RGH = (5x+1)°, m<GRH =(6x+6)°, and m<HRG = (11x-3)°.​

Answers

The angle measures in triangle RGH are:

[tex]< RGH = 60\\ < HRG = 99\\ < RHG = 41\\[/tex]

What is equation?

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation.

To solve for the value of x and the angle measures in triangle RGH, we can use the fact that the sum of the angles in any triangle is always 180 degrees.

Therefore, we can set up the equation:

[tex]< RGH + < HRG + < RHG = 180[/tex]

Substituting the given angle measures, we get:

[tex](6x+6) + (11x-3) + (5x+1) = 180\\[/tex]

Simplifying the equation, we get:

[tex]22x + 4 = 180\\x = 8\\[/tex]

Now that we know [tex]x = 8\\[/tex], we can substitute it back into the angle measures to find their values:

[tex]< RGH = (6x+6) = 54 + 6 = 60\\ < HRG = (11x-3) = 88 + 11 = 99\\ < RHG = (5x+1) = 41\\[/tex]

Therefore, the angle measures in triangle RGH are:

[tex]< RGH = 60\ degree\\ < HRG = 99\ degree\\ < RHG = 41\ degree\\[/tex]

To know more about equation visit:

brainly.com/question/649785

#SPJ9

Sean has 14 friends n are in grade 7 and 9 are in grade 8 what is the equation

Answers

Answer:

n+9 = 14

Step-by-step explanation:

Let's Sean friends in grade 7 be n.

Then In grade 8, 9 persons are there.

Equation: n+9 = 14.

n = 14-9 = 5.

can yall pls help me!!!!

Answers

Answer: (-3u + -3) -5

Step-by-step explanation:
Use distributive property

bias binding is to be sewn around the edge of a rectangular tablecloth measuring 73 in. by 46 in. if the bias binding comes in packages containing 13 ft of binding, how many packages of bias binding are needed for the tablecloth?

Answers

the required number of packages of bias binding for the tablecloth is 2.

As the rectangular tablecloth measures 73 in. by 46 in., the perimeter of the tablecloth can be calculated by the following formula:

Perimeter of the tablecloth = 2(Length + Width)= 2(73 + 46)= 2(119)= 238 inches

Therefore, the length of the bias binding required to sew around the tablecloth will be equal to the perimeter of the tablecloth. The length of the bias binding available in a single package is 13 feet, which is equal to 156 inches.Therefore, the number of packages required can be calculated as:

Number of packages of bias binding required= Length of bias binding required / Length of bias binding in a package= 238 / 156= 1.52

Therefore, 1.52 packages of bias binding will be needed for the tablecloth. However, we cannot purchase a fractional part of a package. Therefore, we need to round up the decimal to the nearest whole number. Hence, 2 packages of bias binding are required for the tablecloth.

for more questions on tablecloth

https://brainly.com/question/2634468

#SPJ11

If you flip three fairly coins what is th probability that you'll get a tail on the first flip a head on the second flip and another on the tail on the third flip

Answers

The probability of getting a tail on the first flip, a head on the second flip, and another tail on the third flip is 1/8, or approximately 0.125.

What is probability?

Assuming that the coins are fair, meaning they have an equal probability of landing heads or tails, the probability of getting a specific sequence of outcomes is found by multiplying the probabilities of each individual outcome.

In this case, the probability of getting a tail on the first flip is 1/2, the probability of getting a head on the second flip is also 1/2, and the probability of getting a tail on the third flip is 1/2. Multiplying these probabilities together, we get:

(1/2) x (1/2) x (1/2) = 1/8

Therefore, the probability of getting a tail on the first flip, a head on the second flip, and another tail on the third flip is 1/8, or approximately 0.125.

To know more about probability, visit:

https://brainly.com/question/13957582

#SPJ9

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 259 people entered the park, and the admission fees collected totaled $676.00. How many children and how many adults were admitted?

Answers

Let us call the number of children "c" and the number of adults "a." Based on the facts provided, we can then construct two equations: c + a = 259 (equation 1) (equation 1).  

1.5c + 4a = 676 (2nd equation)

In equation 1, we may solve for one variable in terms of the other:

c = 259 - a

So, in equation 2, substitute this expression for "c":

1.5(259 - a) + 4a = 676

Distribute the 1.5:1:1:1:1:1:1:1:

388.5 - 1.5a + 4a = 676

Merge similar terms:

2.5a = 287.5

Multiply by 2.5:

a = 115

This translates to 115 adults being accepted. We can plug this number back into equation 1 to find "c":

c + 115 = 259

c = 144

As a result, 144 youngsters were hospitalised.

learn more about  equation  here:

https://brainly.com/question/29657983

#SPJ11

An airplane is flying over the ocean at 2,500 feet in the air. A diver is swimming below and is 25 feet below the ocean surface. How far apart are the plane and the diver?

Answers

Answer:

2,525 FEET

Step-by-step explanation:

what percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean? answer:

Answers

The percentage of compounds formed from this plant extract fell within two standard deviations of the mean, equal to 95.45%.

We tested an extract of a plant native to Taiwan as a possible treatment for leukemia. The amounts of collagen were found to be normally distributed with a mean = 62

standard deviation = 6.9 g/ml.

This is true for any normal distribution, regardless of the actual values of the mean and standard deviation.

The standard normal distribution is a normal distribution with mean zero and standard deviation 1. The standard normal distribution is centered around zero and the degree to which measurements deviate from the mean is represented by the standard deviation.

For a standard normal distribution, 68% of observations are within one standard deviation of the mean95% are within 2 standard deviations of the mean and 99.9% are within 3 standard deviations of the mean.

Therefore, the required percentage is approx. 95.45% are within 2 standard deviations of the mean 62.

For more information about standard deviations, visit:

https://brainly.com/question/24298037

#SPJ4

Complete question:

The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 62 and standard deviation of 6.9 grams per mililiter.What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean?

In what way are atoms of oxygen most different from autumns of nitrogen? A they have different temperatures B they have different colours C they have different states of matter D they have a different masses

Answers

Atoms of oxygen most different from atoms of nitrogen as they have different masses.

A subatomic particle known as an atom is made up of a nucleus composed of protons and neutrons, which is encircled by a swarm of electrons. The atom is the fundamental unit of the chemical elements, and the chemical elements are differentiated from one another by the count of protons present in their atoms. For instance, sodium is any atom that comprises 11 protons, and copper is any atom that includes 29 protons. The isotope of the element is characterized by the number of neutrons. Solid blue crystals can also be a form in which oxygen exists, with molecules that are diatomic.

Interestingly, Priestley was not immediately aware that he had discovered oxygen, and instead believed he had obtained a certain component of air. In a hermetic device, he observed the breakdown of mercury oxide and used a lens to direct sunlight onto the oxide.

In terms of the interaction between nitrogen and oxygen, these substances react in the presence of an electric current. Nitrogen is a stable molecule and does not readily react with other substances.

To learn more about mass, click here:

brainly.com/question/6199002

#SPJ4

Solve the following quadratic function by utilizing the square root method.
Simplify your answer completely.
f(x) = 25×2-81

Answers

The solutions to the quadratic function f(x) = 25x^2 - 81 are x = 9/5 and x = -9/5.

Quadratic function solution

First, we need to rewrite the function in standard quadratic form:

f(x) = 25x^2 - 81

To solve this quadratic function using the square root method, we want to isolate the x^2 term and divide both sides by the coefficient of x^2, which is 25:

25x^2 - 81 = 0

25x^2 = 81

x^2 = 81/25

Taking the square root of both sides, we get:

x = ±(9/5)

Therefore, the solutions to the quadratic function f(x) = 25x^2 - 81 are x = 9/5 and x = -9/5.

More on quadratic functions can be found here: https://brainly.com/question/27958964

#SPJ1

if team a is the underdog in playing team b and has probability 1/4 of winning every game it plays against team b. what is the probability that it wins the best-of-three series over team b? (prefer to put answer as the simplest form of fraction, like 1/2 rather than 2/4)

Answers

The probability that team A wins the best-of-three series over team B is 3/16.

If team A is the underdog and has a probability of 1/4 of winning every game it plays against team B,

The probability that it wins the best-of-three series over team B :

Let us first begin by determining the probability of team A winning two games in a row. Since each game is independent, we can use multiplication to calculate the probability of winning two games in a row:

P(Team A wins 2 in a row) = P(Team A wins Game 1) x P(Team A wins Game 2)

Using the probability given in the problem, we can substitute:

P(Team A wins 2 in a row) = (1/4) x (1/4) = 1/16

Now we must determine the probability of team A winning two games in the series. There are three ways that Team A could win the series:

Winning the first two games;

Winning the second two games;

Winning the first and third games.

Assuming that each of these scenarios is equally probable, the probability of team A winning the series is the sum of the probabilities of these scenarios:

P(Team A wins series) :

= P(Team A wins first two games) + P(Team A wins second two games) + P(Team A wins first and third games)P(Team A wins series)

= (1/16) + (1/16) + (1/16)P(Team A wins series)

= 3/16

Therefore, the probability that team A wins the best-of-three series over team B is 3/16.

For similar question on probability:

brainly.com/question/31130413

#SPJ11

HELP PLSSS!!!
Write and solve an equation to find the value of x . Show work in the box below.

The value of x is ??

Answers

Step-by-step explanation:

(x+90°)=7x (vert opp angles)

x-7x=-90°

-6x/-6=-90°/-6

x=15

write a comparison question that can be answered using the date on the bar graph (its for my little sister pls)

Answers

Answer:

Step-by-step explanation:

In mathematics and statistics, a bar graph is commonly employed. Bar graphs, generally referred to as bar charts, are graphic illustrations of grouped data. A bar graph is a graph that displays all of the data in the form of rectangular bars with heights proportionate to the values they represent. The graph’s bars can be depicted vertically or horizontally. The bars provide a visual representation of quantities in various categories.

Graphical Representation is a way of analyzing numerical data. It exhibits the relation between data, ideas, information, and concepts in a diagram. It is easy to understand and it is one of the most important learning strategies. It always depends on the type of information in a particular domain. There are different types of graphical representation. Some of them are as follows:

Line Graphs – A line graph or linear graph is used to display continuous data and it is useful for predicting future events over time.

Bar Graphs – Bar Graph is used to display the category of data and it compares the data using solid bars to represent the quantities.

Histograms – The graph that uses bars to represent the frequency of numerical data that are organized into intervals. Since all the intervals are equal and continuous, all the bars have the same width.

Line Plot – It shows the frequency of data on a given number line. ‘ x ‘ is placed above a number line each time when that data occurs again.

Frequency Table – The table shows the number of pieces of data that falls within the given interval.

Circle Graph – Also known as the pie chart that shows the relationships of the parts of the whole. The circle is considered 100% and the categories occupied are represented with that specific percentage like 15%, 56%, etc.

Stem and Leaf Plot – In the stem and leaf plot, the data are organized from the least value to the greatest value. The digits of the least place values from the leaves and the next place value digit from the stems.

Box and Whisker Plot – The plot diagram summarises the data by dividing it into four parts. The box and whisker show the range (spread) and the middle ( median) of the data.

There are red tiles and blue tiles in a box. The ratio of red tiles to blue tiles is 3 to 5. There are 12 more blue tiles than red tiles in the box. How many red tiles are in the box?

Answers

To solve this problem, we can set up a system of equations to represent the given information. Let R be the number of red tiles and B be the number of blue tiles. We are trying to find the value of R, the number of red tiles.

The first piece of information we are given is that the ratio of red to blue tiles is 3:5. This can be written as:

[tex]\dfrac{\text{R}}{\text{B}} =\dfrac{3}{5}[/tex]

The second piece of information we are given is that there are 12 more blue tiles than red tiles in the box.

This can be written as:

[tex]\text{B = R}+12[/tex]

We can solve this system of equations by substituting the second equation into the first equation and solving for R.

Substituting [tex]\text{B = R}+12[/tex] into the first equation, we get:

[tex]\dfrac{\text{R}}{\text{R}}+12 =\dfrac{3}{5}[/tex]

We can then simplify this equation to get:

[tex]\text{R} = 15[/tex]

Thus, there are 15 red tiles in the box.

can you help me with this

Answers

The correct options for the average speed of both runners are:

B: Candace ran 4 meters per second

F: Candice ran at a faster rate

How to find the average speed between two coordinates?

The formula for slope between two coordinates is:

Slope = (y2 - y1)/(x2 - x1)

For Antonio, we take two coordinates from the table to find the average speed.

The coordinates are: (8, 29) and (12, 41)

Thus:

Average speed = (41 - 29)/(12 - 4)

= 12/8 = 1.5 m/s

For candice, we take two coordinates which are:

(10, 42) and (15, 62)

Thus:

Average Speed = (62 - 42)/(15 - 10)

= 20/5

= 4 m/s

Read more about Average Speed between Coordinates at: https://brainly.com/question/14335655

#SPJ1

Given A(-1,-1), B(1,-2), C(1,2),
D(-1,3) and A(-2,-2), B'(2,-4),
C(2,4), D'(-2,6) with the center of
dilation at the origin, find the scale
factor.

Answers

Answer:

Step-by-step explanation:inconclusive

Find the 25th term for the arithmetic sequence when the domain is x=1,2,3,4,5 (Use the formula from the previous question.)

5,7,9,11,13...
find the 25th Term

Answers

By answering the presented question, we may conclude that Therefore, the 25th term of the arithmetic sequence is 53.

What is Sequences?

In mathematics, a sequence is an ordered list of items. Elements can be numbers, functions, or other mathematical objects. A series is commonly expressed by putting the phrases in parentheses and separating them with commas. A natural number series, for example, can be denoted as: (1, 2, 3, 4, 5, ...) Similarly, the even number series is labelled as follows: (2, 4, 6, 8, 10, ...) A series can be finite or infinite depending on whether it has a finite or infinite number of words.

To find the 25th term,

an = a1 + (n - 1)d

In this case, a1 = 5 and d = 2. Plugging these values into the formula, we get:

a25 = 5 + (25 - 1)2

a25 = 5 + 48

a25 = 53

Therefore, the 25th term of the arithmetic sequence is 53.

To know more about Sequences visit:

https://brainly.com/question/21961097

#SPJ1

This data set represents the number of cups of coffee sold in a café between 8 a.m. and 10 a.m. every day for 14 days.

Answers

Answer:

The answer to your problem is, The difference of the values of the first and third quartiles of the data set is 12 - 6 = 6

Step-by-step explanation:

Numbers in order:

4,5,6,6,7,8,9,9,10,10,12,12,14,15

List into two equal parts:

4,5,6,6,7,8,9 and 9,10,10,12,12,14,15

Find middle numbers:

4,5,6,6,7,8,9 and 9,10,10,12,12,14,15

Lower quartile: 6

Upper quartile: 12

Thus the answer to your problem is, The difference of the values of the first and third quartiles of the data set is 12 - 6 = 6

Other Questions
EASY 7TH GRADE MATH NEED DONE TODAY the tens digit of a 2 digit number is 3 more than twice the units digit. if the digits are reversed, the new number is 54 less than the original number the gross profit ratio will typically be higher for companies that: multiple choice sell a greater number of units. sell products that are more highly specialized. collect cash more quickly from customers. purchase inventory more frequently during the year. pls help me i need an answer PLSSSSHow did Gautama use the wisdom he gained after becoming the Buddha? He tried to convince others that Hinduism was a religion they should not practice. He helped raise funds to build the first Buddhist temple in India.O He traveled around India, teaching others about enlightenment. He traveled to many countries in Asia to spread his teachings. In which quadrant is the point (7, -2) located on the coordinate plane?A. Quadrant IB. Quadrant IIC. Quadrant IIID. Quadrant IVSHOW YOUR WORK PLEASE. What integer is equivalent to 9\frac{3}{2}[/tex] write a method to format a table of values for display based on which balance method was called. see the project documentation for details. get feedback on how well my function works and tips on how to make it better. once you are satisfied with your feedback from sense add your function to the appropriate class as a method of that class. Can any help me please What led to a decrease in power of the Catholic Church during the 15th century TASK 4D: A door is ...In his poem "A door is ..." Jamie Thomas explores what a door means to him. Create a text in which you explore what a door means to you, and perhaps what it means to open or close it. Your text can be either fiction/literary or non-fiction.Refer to examples from the preparation material and/or other sources where relevant.Choose a suitable title. the poem: A door is a barrier between can and cant, Sometimes opened in intrigue, Often slammed shut in defiance. A door is hope, an escape from reality, An escape to happiness, A hidden sanctuary. A door is protection, it locks and encases, It bars and isolates, It secludes and forgets.A door is a portal to an imaginary world, A passage to the unknown, To journeys unexplored. A door is magic, conjuring possibility, Endless passageways and avenues, In the labyrinth of our mind. A door is the end, locked and secure, Waiting for the prisoners, To break out from their cells.Navigering i oppgavesett two football players collide head-on in midair while chasing a pass. the first player has a 115 kg mass and an initial velocity of 4.00 m/s in the positive x direction, while the second player has a 135 kg mass and initial velocity of 3.00 m/s in the negative x direction. what is the x component of their velocity just after impact if they cling together? (indicate the direction with the sign of your answer.) temperature different between the warm upper surface of the ocean and the colder deeper level can be utilized to convert thermal energy to mechanical energy. this mechanical energy can in turn be used to produce electrical power using a vapor turbine. let x denote the difference in temperature between the surface of the water and the water at a depth of 1 kilometer. measurements are taken at 15 randomly selected sites in the gulf of mexico. these data result in the following temperature: 22.5 23.8 23.2 22.8 10.1 23.5 24.0 23.2 24.2 24.3 23.3 23.4 23.0 23.5 22.8 a) construct a double stem-and-leaf diagram for these data. b) find the sample mean, sample median, and sample standard deviation for these data. c) note that the starred observation in the data set is very different from the others. it is potential outlier. construct a boxplot for these data to verify that the value 10.1 dose, in fact, qualify as an outlier. d) to see the effect of this outlier, drop it from the data set and calculate the sample mean, median, and standard deviation for the remaining 14 observation. which measure is least affected by the presence of the outlier? do you see why it is desirable to report both the mean and median of a data set? Question 17 of 50Cerebral palsy is classified as which type of disorder?Nonprogressive neural disorderDevelopmental disorderO Chromosomal disorderO Intellectual disorderConfident Please help ASAP! Thank you the image of a plant is 4.0 cm from a concave spherical mirror having a radius of curvature of 10 cm. where is the plant relative to the mirror? question 5 options: 2.2 cm in front of the mirror 4.4 cm in front of the mirror 9.0 cm in front of the mirror 1.0 cm in front of the mirror 20 cm in front of the mirror in the ,the perfectly competitive firm will react to losses by . group of answer choices long run; increasing capital inputs short run; increasing physical inputs lon run, continue production long run; exit the market a bar magnet is falling vertically through a horizontal loop of wire with the south magnetic pole entering the loop first. what is the direction of the induced current (viewed from above) as the north pole leaves the loop? uv radiation having a wavelength of 113 nm falls on platinum metal, whose work function is 6.35 ev. what is the maximum kinetic energy (in ev) of the ejected photoelectrons? Amy is single with a salary of $50,000. She has been offered a new position that will raise her salary to $53,000.The cut-off between the 18% and 25% tax brackets is $51,250. How much will her tax liability increase if she accepts the new position? How does the poem relate to Germany and the world of the 1930s? How does it relate to society today? What does it suggest about the challenges of speaking out and taking action in the face of complacency and uncertainty?