18+x=27
please answer soon:)

Answer:

The formula is [tex]a_n = 3n-2[/tex]

The 14th term is 40, in other words, [tex]a_{14} = 40[/tex]

========================================================

Explanation:

The given sequence is 1, 4, 7, 10, ...

Subtract each adjacent term:

This shows that each term is increasing by 3. This is the common difference, so d = 3.

The first term is [tex]a_1 = 1[/tex]

The nth term of the arithmetic sequence is...

[tex]a_n = a_1 + d(n-1)\\\\a_n = 1 + 3(n-1)\\\\a_n = 1 + 3n-3\\\\a_n = 3n-2\\\\[/tex]

As a check, let's plug in say n = 3 to find that:

[tex]a_n = 3n-2\\\\a_3 = 3(3)-2\\\\a_3 = 9-2\\\\a_3 = 7\\\\[/tex]

The third term is 7, which matches with the sequence given to us. I'll let you confirm the other values.

-----------

We'll repeat this idea but now for n = 14 to find the 14th term of the sequence.

[tex]a_n = 3n-2\\\\a_{14} = 3(14)-2\\\\a_{14} = 42-2\\\\a_{14} = 40\\\\[/tex]

The 14th term is 40.

You can make a table of values to help confirm the answer. In the first column you'll have the values of n (1,2,3,...) all the way up to 14. The second column will consist of the sequence 1, 4, 7, 10, ... each time going up by 3 until you reach the 14th term of 40.

Answer:

x= 69°

Step-by-step explanation:

First find the inner angle of the 159°

so you would do 180-159=21

next you add 21 ° to the 90° from the right angle

that gives you 111°

last you do 180-111 and you get 69

Answer:

x = 69

Step-by-step explanation:

180 - 159 = 21

The sum of the three angles of any triangle is equal to 180 degrees, so:

21 + 90 + x = 180

111 + x = 180

180 - 111 = x

x = 69

Have a nice day!

The equation of line is given by y = 25x + 80.

The equation of a line is expressed as y = mx + b where m exists the slope and b exists the y-intercept

y - y₁ = m ( x - x₁ )

Where, y be the y-coordinate of second point

y₁ be y-coordinate of point one

m be the slope

x be the x-coordinate of second point

x₁ be the x-coordinate of point one

Let the equation of slope m be

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Equation of line be represented as A

The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )

The slope of the line between the two points exists given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 280 - 130 ) / ( 8 - 2 )

simplifying the above equation, we get

m = 150 / 6

m = 25

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 130 = 25 ( x - 2 )

On simplifying the equation , we get

y - 130 = 25x - 50

Adding 130 on both sides , we get

y = 25x + 80

The equation is of the form y = mx + b where b is the y intercept.

Therefore, the equation of line is given by y = 25x + 80

To learn more about equation of line refer to:

brainly.com/question/14200719

#SPJ4

The equation of line is given by y = 25x + 80, this represent the linear function between the amount of money and the saved amount.

The equation of a line is expressed as y = mx + b where m is called the slope and b is called the y-intercept

y - y₁ = m ( x - x₁ )

Where, y be the y-coordinate of second point

y₁ be y-coordinate of point one

m be the slope

x be the x-coordinate of second point

x₁ be the x-coordinate of point one

Let the equation of slope m be

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Equation of line be represented as A

The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )

The slope of the line between the two points exists given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 280 - 130 ) / ( 8 - 2 )

simplifying the above equation, we get

m = 150 / 6

m = 25

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 130 = 25 ( x - 2 )

On simplifying the equation , we get

y - 130 = 25x - 50

Adding 130 on both sides , we get

y = 25x + 80

The equation is of the form y = mx + b where b is the y intercept.

Therefore, the equation of line is given by y = 25x + 80

To learn more about equation of line, visit:

brainly.com/question/14200719

#SPJ4

Answer:

q+7=61

soln

Step-by-step explanation:

q=61-7=54answer

Answer: 636.28

Step-by-step explanation:

first calculate the area of the square and the semicircle after u find the area of semicircle, multiply by four and add it to the area of the square. formula for area of semicircle = [tex]\frac{\pi r^2 }2\\[/tex]

formula of area of square  [tex]side^2[/tex]

Answer: Hope This Helps!

Step-by-step explanation:

Im doing good today. And I hope you have a good rest of the day!

Answer:

44.8

Step-by-step explanation:

44.4 - (-0.4) = 44.8

Answer: 12 yd^3

Step-by-step explanation:

(base area x height)/3

1/2 x base x height = base

1/2 x 4 x 3 = 6

36/3 = 12yd^3

Answer:

152°

Step-by-step explanation:

2x + 48 = 3x - 4 (the measure of an exterior angle of a triangle = the sum of the measures of the two non-adjacent interior angles of the triangle)
=> 4 + 48 = 3x - 2x (on transposing)
=> 52 = x
Substituting the vale of x in the m∠JKM,
m∠JKM = 3x - 4 = 3(52) - 4 = 152°

Hope you understood!!

Answer:

-8g+16-12t is the answer

Step-by-step explanation:

multiply everything by 4

Answer:

g(x) = a(x - 23)(x + 4)

Step-by-step explanation:

Weren't there possible answer choices to share?

if this function has zeros at 23 and -4, then the function has the following form:

g(x) = a(x - 23)(x + 4)

The common difference is 0.42. The comparison of each ratio's successive values over time for a single firm.

Now, According to the question:

What is meant by ratio?

Therefore, simplifying the equation then we get,

if you take the ranges (y) and subtract one from the other you get 0.42.

(22.84 - 22.42)/(2 - 1) = 0.42/1 = 0.42

(23.26 - 22.84)/(3 - 2) = 0.42

(23.68 - 23.26)/(4 - 3) = 0.42

Hence, The common difference is 0.42

Learn more about Ratio at:

https://brainly.com/question/13419413

#SPJ4

Answer:

Option d

d) f(x)=6x^3+1

Step-by-step explanation:

Given data

a) f(x)=6^x+1

b) f(x)=6x^2+1

c) f(x)=6x+1

d) f(x)=6x^3+1

In all option d is the function that increases at the fastest rate, this is because the  power of x is the highest

Answer:

Option d

d) f(x)=6x^3+1

Step-by-step explanation:

Given data

a) f(x)=6^x+1

b) f(x)=6x^2+1

c) f(x)=6x+1

d) f(x)=6x^3+1

In all option d is the function that increases at the fastest rate, this is because the  power of x is the highest

Step-by-step explanation:

The correct solutions for "x" after factorizing the cubic equation are:

x1 = -4

x2 = 0.5

x3 = 3

Cubic Equation:

A cubic polynomial in mathematics is a polynomial whose highest degree is three. A cubic equation is one that contains a cubic polynomial.

Either one real root or three real roots are present in every cubic equation. The cubic equation is written as ax^3+bx^2+cx+d=0.

Therefore, standard form of the cubic equation is: ax^3 + bx^2 + cx + d = 0

Given: 2x³ +x² -25x +12

On comparing with the standard form of the cubic equation, we get;

a=2

b=1

c=-25

d=12

After factorizing the cubic equation, we have three roots.

x1 = -4

x2 = 0.5

x3 = 3

To learn more about "cubic equation" here:

brainly.com/question/7764519

Answer:

ok, the correct answer should be R(1.5)=R(2)!

Step-by-step explanation:

I did this my class before!

Point p is further from 0 than point q, and to the left of point q.

The correct option is D.

The absolute value of a number is the distance value from zero without considering the sign of a number. It is also represented as |x|, where x is any number.

Given:

Points p and q are negative integers plotted on a number line.

And |p| > |q|.

That means,

The absolute value of p is greater than the absolute value of q.

|p| and |q| are the positive integers.

So, p < q.

So, the q is closer to zero.

And p is left to point q.

Therefore, the q is closer to zero and p is left to point q.

To learn more about the absolute value;

https://brainly.com/question/1301718

#SPJ1

Answer:

13

Step-by-step explanation:

343200 fts distance travelled in an hour

5720 ft was travelled in 1 minute and,

95.33 ft distance was travelled in 1 second.

The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles.

The British imperial and American customary systems of measurement both use the foot as a unit of length, denoted by the standard symbol: ft. An other sign that is frequently used is the prime symbol, ′. One foot is precisely equal to 0.3048 meters as of the International Yard and Pound Agreement of 1959.

5,280 feet per mile, sometimes known as a statute mile, is a unit of measurement (1.609 km). It derives from the mille passus, or "thousand paces," of the Romans, which was equivalent to 5,000 Roman feet.

65 miles per hour

so 65 * 5280 = 343200 ft travelled in 1 hr

in one minute distance travelled = 343200/60 = 5720  fts

and in one second distance travelled = 5720/60 = 95.33 fts.

To learn more about Speed and Distance refer to :

https://brainly.com/question/29572337

#SPJ4

Answer:

Percentual change= 33.33% decrease

Step-by-step explanation:

Giving the following information:

Present value (PV)= $150

Future value (FV)= $100

To calculate the percentual change, we need to use the following formula:

Percentual change= [(PV - FV) / PV]*100

Percentual change= [(150 - 100) / 150]*1''

Percentual change= 0.3333*100

Percentual change= 33.33% decrease

Therefore a quadratic function can be written in vertex form as

y = a(x - h)^2 + k.

In mathematics, a polynomial of degree two in one or more variables is referred to as a quadratic polynomial. The polynomial function that a quadratic polynomial defines is known as a quadratic function.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

A quadratic function can be written in vertex form as y = a(x - h)^2 + k

Where (h, k) is the vertex, and a is the leading coefficient.

y = ax^2 + bx + c (standard form)

y = a(x + b/2a)^2 + c - b^2/4a

y = a(x - h)^2 + k where h = -b/2a and k = c - b^2/4a

For example,when y = 3x^2 - 6x - 5

y = 3x^2 - 6x - 5

y = 3(x^2 - 2x) - 5

y = 3(x^2 - 2x + 1 - 1) - 5 = 3(x - 1)^2 - 8

So, the equation is in vertex form y = 3(x - 1)^2 - 8

Note that this only works for parabolas that opens upwards or downwards, if the parabola opens to the sides, the vertex form is y = a(x-h)^2 +k

To know more about function visit: https://brainly.com/question/12431044

#SPJ4

The expression x3 3x2 12x 19 is a polynomial expression in standard form.

To add 24 to this expression, we need to add 24 to each of the terms. This means that the answer is x3 + 3x2 + 12x + 43. To check our work, we can use theFOIL  method to expand the expression and make sure that the coefficients of each of the terms are correct. The FOIL method stands for First, Outer, Inner, Last. The first and last terms are the x3 and 43, the outer terms are 3x2 and 12x, and the inner terms are 3x2 and 12x. When we multiply these terms, we get x3 + 3x2 + 12x + 43, which is our final answer.

Calculation

x3 + 3x2 + 12x + (19 + 24)

= x3 + 3x2 + 12x + 43

The expression x3 3x2 12x 19 is a polynomial expression in standard form.

Learn more about polynomial here

https://brainly.com/question/11536910

#SPJ4

To add a function in FG, open the functions. php file in your theme folder, add the code for the function at the bottom of the file, save the file, and add the code for the function in the template files where you want it to appear.

To add a function in FG, you first need to open the functions. php file in your theme folder. This is where all the functions for your theme will be stored. Once you have the file open, you can add the code for the function that you want to create. This code should go at the bottom of the file. After you have added the code, save the file. Now, you need to add the code for the function in the template files where you want it to appear. To do this, add the following code: <?php your_function_name(); ?>. This code will call the function that you created in the functions.php file. Once you have added this code, save the file and the function should now appear in your theme.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

the child's percentile rank is 93 th percentile. It means he performed better than [tex]$93 \%$[/tex]of the total number of students.

Need to find the percentile rank for child's score.

Let[tex]$\mathrm{X}$[/tex]denote marks obtained by the child in the achievement test.

The [tex]$\mathrm{Z}$[/tex]value is given as,

[tex]$$Z=\frac{X-\mu}{\sigma}$$[/tex]

Using equation (1), the required percentile rank for child's score is expressed as,

[tex]& Z=\frac{148-125}{15} \\[/tex]

[tex]& Z=1.533[/tex]

The probability value corresponding to the Z=1.533, obtained from the Z table is 0.93736.

Thus, the percentile is 0.93736.

Therefore, the child's percentile rank is 93 th percentile. It means he performed better than [tex]$93 \%$[/tex]of the total number of students.

To learn more about  Percentile rank refer to:

https://brainly.com/question/24245405

#SPJ1

From the table for Drew's week 1 classes:

Domain = {English, Math, History, Biology, Biology Lab}

Range = {60. 90, 45, 0}

A function's domain is the set of values that can be plugged into it. This set contains the x values in a function such as f. (x). A function's range is the set of values that it can take. This is the set of values that the function returns when we enter an x value. They are the y values.

A function can be thought of as a machine on an assembly line. On one end of the assembly line, there are a few screws and bolts, and on the other end, there is a car. The function is represented by the machine in the middle. The domain consists of the screws and bolts that we insert into the machine (our function).

Learn more about domain and range

https://brainly.com/question/28135761

#SPJ1

Answer:

m(t) = 801 * (1/2)^(t/85)

Step-by-step explanation:

m(t) = 801 * (1/2)^(t/85)

m(t)  is the mass after t days

Since an isosceles triangle has two equal sides, it has two equal angles and two equal heights. Therefore, if you know the length of two sides, you can use the formula A = (1/2)bh to calculate the area, where b is the length of the base and h is the length of the two equal heights.

An isosceles triangle is a triangle with two equal sides and two equal angles. Since the two equal sides also have two equal heights, we can use the formula A = (1/2)bh to calculate the area of the triangle without the height. The formula A = (1/2)bh requires the length of the base (b) and the length of the equal heights (h). Therefore, if you know the length of two sides, you can use the formula to calculate the area of the isosceles triangle without the height.

1. Determine the length of two sides of the triangle.

2. Calculate the area of the triangle using the formula A = (1/2)bh, where b is the length of the base and h is the length of the two equal heights.

3. Plug the known values into the formula and solve for the area.

Learn more about isosceles triangle here

https://brainly.com/question/2456591

#SPJ4

Answer:

20  C 13 = 77520

Step-by-step explanation:

That's the answer that it told me on delta math.

Step-by-step explanation:

y = 2x + b ---> 3 = 2(1) + b ---> b = 1

Therefore, y = 2x + 1