1. An = A1 + (n - 1) +30.50

2. An = An-1 + 14 where A1 = 16.50

3. A20 = 231

4. An = 30.5 + 16.50

**Answer:**

c(n)= 14n+2.50

**Step-by-step explanation:**

Have a good day

What is an example of a geometric term?

An example of **geometric term** is ar².

When a set of numbers follow a particular order, they are said to be in **sequence**.

A set of numbers are said to be in geometric sequence if the ratio between second and first term is same as the ratio between third and second term and so on. The **geometric sequence** is presented as

Geometric Sequence = a, ar, ar², ar³, ......, arⁿ⁻¹, arⁿ.

where,

The first term is a.

Every two consecutive terms, r is the **common ratio**.

The number of terms is n.

Let us take an example.

The numbers 2, 6, 18, 54 are in geometric sequence because 6:2 = 18:6 = 54:18 and when we will write it as 2 + 6 + 18 + 54, it will become a geometric series and 2, 6, 18, 54 are geometric **terms**.

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Is a triangle congruent if 1 angle of the triangle is congruent and 2 sides are congruent?

The triangles are congruent if there are two **pairs **of corresponding angles and one pair of corresponding sides.

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What are the domain and range of y = -2(x-4)² + 1?

A. D: x > 4 and R: all real numbers

B. D: x ≤ 4 and R: all real numbers

C. D: all real numbers and R: y ≤ 1

D. D: all real numbers and R: y ≥ 1

**Answer:**

he correct answer is D: all real numbers and R: y ≥ 1.

**Step-by-step explanation:**

The question is in the picture

1/2 - 5d, -4d + 1/2 - d = -4d - d + 1/2, -5d + 1/2

How many term of the A. P. 16,14,12,. Are needed to give the um 60? explain why do we get two anwer

The sum of first **five **or **twelve **term in the A.P given the value 60.

The term AP refers a **sequence **of numbers in order, in which the difference between any two consecutive numbers is a constant value.

Here we have given that A. P. 16,14,12,.

And we need to find the number of term to get the value of 60.

While we looking into the given question we have identified that the common **difference **d of the A.P. is − 2

Here we also know that the terms of the A.P. are in **descending **order.

Now, we have to take n = 5 then then first 5 terms are 16,14,12,10,8.

Here we have identified that the sum is 60.

Similarly, here by taking n = 12 , then the last 7 terms ( 12 − 5 ) (12-5) are 6 , 4 , 2 , 0 , − 2 , − 4 , − 5 6,4,2,0,-2,-4,-5

Here we have identified that the **sum **of these seven terms is 0.

Therefore, sum of first 12 terms is also 60.

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What is inequality examples?

An example of **inequality** is 3 < 5.

**Inequalities** are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the **expressions** are not equal.

They are denoted by the symbols ≥ < > ≤. An example of **inequality** is 3 < 5. This simply means that 3 is less than 5.

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Can someone please help me I’ll mark you as brainlist

A=

B=

**Answer:**

A = 14

B = 4

**Step-by-step explanation:**

You want to know the **values of A and B** consistent with **∆EFG** being **congruent to ∆HJI**, given that **EF=14B-15, FG=9A-28, HJ=7B+13, JI=7A**.

Corresponding sides of congruent triangles have the same measure, so we have ...

FG = JI

9A -28 = 7A

2A = 28 . . . . . . add 28-7A

** A = 14** . . . . . divide by 2

and ...

FE = JH

14B -15 = 7B +13

7B = 28 . . . . . . . . add 15-7B

** B = 4** . . . . . . divide by 7

**The values of A and B are 14 and 4, respectively**.

Work out the fraction that is halfway between 0 and 3/4

The work out **fraction** that is halfway between 0 and 3/4 is 1/2

**In math, what are fractions?**

A **fraction** is a part of the whole. In a quotient, where the numerator and denominator are divided, the number is mathematically expressed. In a straightforward **fraction**, both are integers. A complicated **fraction** has a **fraction** in either the numerator or denominator. In a correct **fraction**, the numerator is smaller than the denominator.

**What seven types of fractions are there?**

Proper **fractions**, improper **fractions**, mixed **fractions**, like **fractions**, unit **fractions**, equivalent **fractions**, and same numerator **fractions** are the seven different types of **fractions**.

**A midway fraction is defined.**

Halfway of Two **Fractions** is what? Exactly halfway between 2/3 and 3/4, a **fraction** cannot be smaller than 2/3 or larger than 3/4. Nothing is halfway but the average of two **fractions**.

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How do you prove two shapes are similar?

According to the value of** scale factor, **we have to prove that the two shapes are similar.

The term shape in math is defined as the object that the form of an object or its **outline**, outer boundary or outer **surface**.

Here we have to find the way to prove two shapes are similar.

Here we have given that there are two shapes are given, in order to prove that those two **shapes **are similar, we must consider that the two shapes are considered to be "**similar **figures" if they have the same shape, congruent corresponding **angles **which means the angles in the same places of each shape are the same and equal scale factors.

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What are examples of SAS?

The examples of SAS (**Statistical Analysis System**) are Mathematical Programming

SAS is a **statistical software** suite developed by the SAS Institute for data management, advanced analytics, multivariate analysis, **business intelligence**, criminal investigations, and predictive analytics. It is used for

Examples of SAS are :

Mathematical Programming.Examples of mathematical programming.Mathematical Programming: Conventional Procedures.Network optimization algorithms.To learn more about **SAS ****,**** **refer:

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What is direct and inverse property?

The **direct proportion** means that two numbers increase or decrease together and in the same ratio and the **inverse proportion** means that if one number increases the other decreases and vice versa.

Direct Proportion: Two numbers or quantities are said to be in direct proportion if they increase or decrease together in the same **ratio**.

If a and b are in direct proportion, they can be written as

a ∝ b

Inverse Proportion: Two numbers or quantities are said to be in **inverse** proportion if one increases when the other decreases and vice versa.

If a and b are in inverse proportion, they can be written as

a ∝ 1 / b

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The following histogram shows the number of items sold at a grocery store at various prices:

Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.

Which of the following data sets is represented in the histogram?

{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}

{2, 4, 0, 1}

{2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00}

{0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}

**Answer:**

i think 2.oo or 7.51 not sure

**Answer:**

the answer to this is a.

**Step-by-step explanation:**

what is the slope between (-2,-19) and (-12,11)

**Answer:**

m = -3

**Step-by-step explanation:**

The slope is rise/run or (y2 - y1) / (x2 - x1)

We see the y increase by 30 and the x decrease by 10, so the slope is

-30/10 = -3

So, m = -3

**Answer:**

Slope = -3

**Step-by-step explanation:**

Formula of slope,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Now the slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (11 -(-19))/(-12 -(-2))

→ m = (11 + 19)/(-12 + 2)

→ m = 30/-10

→ m = -(30/10)

→ [ m = -3 ]

Hence, the slope is -3.

mark and kevin own 1/4 and 1/3 of the books on a shelf, respectively lori owns the rest of the books. if kevin owns 9 more books than mark, how many books does lori own ?

The **total number** of books Lori** owns** is 45.

Let x be the **total number **of books.

Mark owns 1/4 of x

Kevin own 1/3 of x

Kevin owns 9 more than Mark, so;

1/4x - 1/3x = 9

**Multiplying** both sides by 12

4x - 3x = 108

x = 108

The total number of books is 108

but;

Mark owns 1/4 of x = 1/4 x 108

Mark = 27

while Kevin owns 1/3 x 108

Kevin = 36

Therefore, Lori would own

108 - 36 - 27 = 45

Lori's number of books will be 45.

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How do you find holes and asymptotes?

To find holes, look for places where the **function **is undefined. To find asymptotes, look for where the function approaches infinity or negative infinity. Additionally, look for places where the function has a vertical or horizontal line, as these are also potential **asymptotes**.

To find holes in a **function**, look for places where the function is undefined. This can occur when the denominator of a **fraction **is equal to zero, as the fraction becomes undefined. Additionally, look for places where the function is not continuous, as this can indicate a hole in the graph. To find asymptotes, look for places where the function approaches infinity or **negative infinity.** This can occur when the denominator of a fraction is equal to zero and the numerator is not. Additionally, look for places where the function has a vertical or horizontal line, as these can also indicate potential asymptotes. Asymptotes are also present when the degree of the numerator is higher than the degree of the **denominator**. By looking for these areas, you can identify potential holes and asymptotes in a function.

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8/x = 12/30 Solve for x

**Answer:**

The value of x is 20

**Step-by-step explanation:**

This question has to do with an equation. The information is given thus:

8/x = 12/30

Cross multiply

12x = 30 × 8

12x = 240

Divide

x = 240 / 12

x = 20

A recipe for a cucumber salad includes 13cup tomatoes for 6 servings. how many cups of tomatoes are needed for 27 servings?

**Answer:**

PROPORTION:

13:6 = x/27

6x = 27(13)

6x = 351

x = 58.5

Therefore, cucumber salad need 58.5 cups of tomatoes to make 27 servings.

**Step-by-step explanation:**

What value of x would make these two solids similar? X = 27 x = 30 x = 7.75 x = 31

The **value **of x is 31 mm, which makes given **prisms **similar.

**Similarity **of a triangle is the ratio of their corresponding **sides **or angles which are **equal**.

In the given prisms,

The **length **of the large prism = 29 mm,

And width = x mm.

In small prism, the length = 14.5 mm,

And width = 15.5 mm.

According to given condition,

Both the **prisms **are **similar**.

By property of similarity,

The in similar figure, the **ratio **of corresponding **sides **are equal.

For the given **prisms**,

29 / x = 14.5 / 15.5

x = 2 × 15.5

x = 31

The required **value **of x is 31 mm.

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PLEASE HELP ASAP

At a local high school, the student population is growing at 12% a year. If the original population was 242 students, how long will it take the population to reach 300 students? Round to the nearest tenth of a year.

A. 0.7 Years

B. 3.2 Years

C. 1.9 Years

**Answer:**

c is the closest

**Step-by-step explanation:**

it should take about 2 years

What is the leading coefficient of the polynomial function if?

Observing the polynomial and the **coefficient** provided, The leading coefficient of the polynomial function is the coefficient of the highest degree term.

Sums of terms with the form kxⁿ, where K is any number and N is a positive **integer**, are known as polynomials.

The term with the greatest x power is the leading term in a polynomial function. The leading coefficient is the coefficient of the leading phrase.

polynomial of the form [tex]ax^{2}+bx+c[/tex].

Since, The degree is 2 and the coefficient of [tex]x^{2}[/tex] is a.

The leading coefficient is 'a'.

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the graph of this equation is which of the following

x² + y² - 2x + 3y + 8 = 0

a) parabola

b) circle

c) hyperbola

d) ellipse

e) point

someone help me please!!

**Answer:**

**Step-by-step explanation:**

C) Hyperbola

graph it

graph it

The figure below is made up of a rectangle and a half of a circle find the perimeter of the figure to the nearest tenth show ur work please use 3.14?for pi

The figure's **circumference**, as seen in the diagram, is 60.84 m.

**What are some instances of perimeters?**

The **perimeter **of an object is the space surrounding it. For instance, your house has a fenced-in yard. The **perimeter** is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.

The formula below is used to determine the figure's **perimeter**.

Formula:

Equation 1: P = 2L + W + W / Equation 1:

P = The figure's **perimeter**

L is the figure's **length**.

W is the figure's **width**.

Considering the query,

Given:

L = 15 m\sW = 12 m\sπ = 3.14

Replace the values in equation 1 with these ones.

P = (15×2)+12+(12×3.14/2)

P = 30+12+18.84

P = 60.84 m

As a result, the figure's **perimeter **is 60.84 meters.

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What is the translation formula?

Use P′(x+a,y+b) to **translate the point** P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

Whenever an object is moved from one location to the next without changing its size, shape, or **orientation**, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the** coordinate plane**.

Use P′(x+a,y+b) to **translate the point** P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

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12.2: Postage Stamps

The relationship between the postage rate and the weight of a letter can be defined by a

piecewise function.

The graph shows the 2018 postage rates

for using regular service to mail a letter.

1.67

postage (dollars)

$10.55

0.45

1.5

1.25

1

0.75-

0.50

0.25

0.5

1

1. What is the price of a letter that has the following weight?

a.

1 ounce

0.50

b. 1.1 ounces

c. 0.9 ounce

2. A letter costs $0.92 to mail. How much did the letter weigh?

1.5 2 2.5 3 3.5 4

weight (ounces)

The **price** of the letter with the given weights are;

a) 1 ounce = $0.5

1.1 ounces = $1.1

0.9 ounces = $0.5

b) At a cost of $0.92 , **weight **is 3 ounces

A **piecewise function** is defined using different expressions for different intervals in its' domain.

Now, from the graph, we see two line end points. One that is shaded circle and one that is not shaded circle but we will make use of the shaded one because it implies that is the **output.**

a) At one ounce, we can trace on the graph that the **postage price** is $0,5.

At 1.1 ounces, we can trace on the graph that the postage price is approximately $0.71

At 0.9 ounces, we can trace on the graph that the **postage price** is approximately $0.50

b) At a cost of $0.92 to mail, the **weight **must be more than 2 ounces but less than or equal to 3 ounces.

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How do you find the perpendicular line of a linear equation?

Ways to find the **perpendicular** **line** of a linear equation are by solving for y, convert the equation of the given line into slope-intercept form.

A straight line that forms a 90° angle with another line is said to be **perpendicular**. A small square is placed between two perpendicular lines, as seen in the illustration, to indicate a right angle, also known as a 90° angle. The two lines in this instance are considered to be perpendicular to one another because they intersect at a straight angle.

Given

Ways to find the **perpendicular** line of a linear equation are,

First, by solving for y, convert the **equation** of the given line into slope-intercept form.

You obtain y = -2x + 5, indicating a -2 slope. Since the slopes of perpendicular lines are opposite-reciprocal, the **slope** of the line we're looking for is 1/2.

By entering the supplied point into the formula y = 1/2x + b and solving for b, we arrive at the **value** b = 6.

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Mortgage Details

Principal

Loan Length

Interest Rate

Monthly Payment

A. $500.00

How much of the first

$150,000

payment for the

30 years mortgage described in

the table will go

towards principal?

4%

$716

C. $343.68

B. $372.32

D. $216.00

**Answer:**

**Step-by-step explanation:**

New houses in a neighborhood are selling for $175,000. A down payment of $18,000 is

required and a 25-year mortgage at an annual interest rate of 8% is available. Find the

monthly mortgage payment.

Selling price = 175000

down payment = 18000

interest rate = 8% = 0.08

time = 25 years = 300 months (25 * 12)

First, we will compute the total interest for the loan

I = P * R * T

I = (175000 - 18000)(0.08)(25)

I = (157000)(0.08)(25)

I = 314000

Order from least to greatest. .46 4/6 .046 1/10 -4

(/ means fraction)

**Answer:**

-4, 0.046, 1/10, 0.46, 4/6

**Step-by-step explanation:**

First, we know that -4 is the least because it is a negative number.

Next, we need to convert the fractions to decimals. 1/10 is 0.1, and 4/6 is 0.66.

Then, we order the decimals.

0.046 is the next smallest, because it is a hundredth, and the remaining decimals are tenths and therefore greater.

We compare the remaining decimals, which are 0.10, 0.46, and 0.66. These are easy to compare and order.

Now, we've compared and ordered all the numbers. We can convert the fractions back into their original form.

The diagram shows a convex polygon.

What is the sum of the interior angle measures of this polygon?

The **sum **of the interior **angle **measures of the given polygon will be equal to 360°.

A **polygon **is described in geometry as a compact, **two**-**dimensional **shape having three or more straight lines.

Poly, which means "many," and gon, which means "**angle**," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.

As per the given information in the question,

Use the formula of the **sum **of an interior **angle **of the polygon,

180(n - 2) (i)

Here, n is the number of sides.

As per the given figure, n = 4

Put n = 4 in equation (i)

180 (4 - 2)

180 (2)

= 360°

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a researcher wants to find out how much a person watches television causes a person to like bourbon whisky more. to do this she asks each participant if they watch tv more or less than 2 hours per day and then has them take a likert scale of how much they like bourbon whisky. which test statistic would you use?

**chi**-**square** test **statistic** is **statistically** **significant**.

**What is Test Statistic?**

A **statistic** employed in **statistical** **hypothesis** testing is known as a test **statistic**. A test **statistic**, which can be thought of as a **numerical** summary of a data set that condenses the **data** into a **single** value that can be used to conduct the **hypothesis** **test**, is how a **hypothesis** test is commonly **expressed**.

To **determine** whether the **amount** of **television** a person watches is related to their liking for bourbon whisky, the researcher could use a chi-**square** **test** of independence.

The** chi-square test** is a **statistical** **test** that is used to determine whether there is a significant **association** between two **categorical** **variables**.

In this case, the two **variables **of **interest **are television watching (more or less than 2 hours per day) and liking for bourbon whisky (measured using a Likert scale).

The chi-square **test** **statistic** is calculated based on the **observed **frequencies of each **combination** of television watching and liking for bourbon whisky, and it is used to **determine** whether the **observed** **frequencies** are **significantly** different from the **frequencies** that would be expected if the two **variables** were **independent**.

If the **chi-square** test **statistic** is statistically **significant**, it indicates that there is a **significant** association between the two **variables**, and the researcher can conclude that television watching is related to liking for bourbon whisky.

Hence, **chi-square** test **statistic** is **statistically** **significant**.

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What is the value of 3 âˆš 4 âˆš x when x 4096?

The **value **of 3 âˆš 4 âˆš x is 48

A number's **square **root is a value that, when multiplied by itself, yields the original number. The other way to square an integer is to find its square root. Squares and square roots are hence related concepts.

Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is **represented **by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

As per the question, 3 âˆš 4 âˆš x when x =4096

first we need to calculate square root of 4096 by prime factorisation **method**

4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)

√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))

√4096 = 2 × 2 × 2 × 2 × 2 × 2

√4096 = 64

Therefore the square root of 4096 = 64.

x=64

now putting the value of x in 3 âˆš 4 âˆš x

= 3 âˆš 4 âˆš 64

= 3 âˆš 256

=3×16

**=**48

so the **value **of 3 âˆš 4 âˆš x is 48

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Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)

√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))

√4096 = 64

x=64

= 3 as 4 as 64

= 3 as 256

=3×16

=48

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1) Which of the following are true about Defragmentation? (multiple answers may apply): Group of answer choices - Physically organizes the contents of the mass storage device used to store files into the smallest number of contiguous regions. - It is applicable to file systems on electromechanical disk drives. - It speeds up the movement of the hard drive's read/write heads by accessing now sequentially de-fragmented files. - It seeks to reverse the fragmentation of long contiguous regions into smaller and smaller contiguous areas that happens over time. 2) The NTFS file system is characterized by? Group of answer choices - Its compatibility with other systems like Linux, MAC OS and Sonys PlayStation. - File-by-file compression, full permissions for security control and attribute settings and a change journal that can help quickly recover errors if your computer crashes. - It is generally ideal for flash drives. 3) What is true about a File Name? (multiple answers may apply) Group of answer choices - A file name is used to identify a storage location in the file system. - File names can have restrictions on the use of certain special characters, disallowing them within file names. - File names are always case sensitive. - Most file systems have restrictions on the length of file names.
Is it possible to predict the RNA sequence from a given protein sequence?
Which table represents exponential growth? a 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 8. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16.
What are the three types of information protection?
Kumar rides his bicycle such that the back wheel rotates 10 times in 5 s. Determine the angular velocity of the wheel in a) degrees per second b) radians per second.