if the sum of a term of an ap is 2n square + 5n then find the 4th term​

Answers

Answer 1

Answer:

19

Step-by-step explanation

Let the sum of n terms of A.P. = Sn

If The Sum Of A Term Of An Ap Is 2n Square + 5n Then Find The 4th Term
Answer 2
the fourth term is 19 !!!!!!!

Related Questions

A golfer recorded the following scores for each of four rounds of golf: 86, 81, 87, 82. The mean of the scores is 84. What is the sum of the squared deviations of the scores from the mean?

Answers

Answer:

26

Step-by-step explanation:

Subtract the mean (84) from each of the four scores, obtaining

2, -3, 3, - 2

These are the "deviations."

Next, square each of these four deviations, obtaining

(2)^2 = 4, and:

(-3)^2 = 9, and:

(3)^2 = 9, and:

(-2)^2 = 4

Then the sum of the squared deviations of the scores from the mean is 26.

I don’t really know how to do this, could anyone help? :)

Answers

When you reflect a point across the Y axis, the Y coordinate remains same, but the x-coordinate is transformed to its opposite. So change the x coordinates so their opposite sign.

About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer.Find the radius of the region

Answers

Answer:

radius is 4.5 km

Step-by-step explanation:

Given :

Total number of people living in the area = 1.15 million = 1150000

Population density = 18075 people per sq kilometer

To find:

Radius of region = ?

Solution:

Population density of a region is defined as the ratio of total population divided by the area of the region.

Area here is circular. Let the radius be = r

Area of circle is given as [tex]\pi r^2[/tex]

Formula:

[tex]Population\ Density = \dfrac{Total\ population}{\pi r^2}[/tex]

Putting the values:

[tex]18075 = \dfrac{1150000}{\pi r^2}\\\Rightarrow r^2 = \dfrac{1150000}{18075\pi }\\\Rightarrow r^2 = \dfrac{63.62}{\pi }\\\Rightarrow r^2 = 20.26\\\Rightarrow \bold{r=4.5\ km}[/tex]

Therefore, radius is 4.5 km.

Write yes if the following polygons are regular, and no if they’re not.

Answers

Answer:

a. yes

b. no

c. yes

d. yes

e. yes

f. no

Step-by-step explanation:

a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)

A. equilateral triangle, regular

B. is a rectangle and the sides of rectangle are not all equal, thus, not regular

C. octagon, regular

D. flipped pentagon, regular

E. square, regular

F. not normal pentagon, not regular

Answer:

a. yes  

b. no  

c. yes  

d. yes  

e. yes  

f. no

Step-by-step explanation:

a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)

A. equilateral triangle, regular

B. is a rectangle and the sides of rectangle are not all equal, thus, not regular

C. octagon, regular

D. flipped pentagon, regular

E. square, regular

F. not normal pentagon, not regular

Nate has written 4 paragraphs of an essay for his English class so far. He can write a paragraph
2
every 3 of an hour. Write an expression for the number of paragraphs in Nate's essay after h,
hours.

Answers

3h * 2

three hours every two paragraph

Given that M is the midpoint of VW, what is the length of line segment VM?

Answers

Answer:

VM=15

Step-by-step explanation:

4x-1=3x+3 becuase M is the mid point, which makes both sides equal.

Subtract 3x to both sides to get x-1=3.

Add 1 to both sides to get x=4.

Subsitue 4 into the equation 4x-1 to find the lengh of VM.

4(4)-1=

16-1=

15

Using the midpoint concept, it is found that the length of the line segment is of 30 units.

The midpoint divides the line into two segments of equal length, hence [tex]VM = MW[/tex].

Their lengths, as functions of x, are given by:

[tex]VM = 4x - 1[/tex]

[tex]MW = 3x + 3[/tex]

They have the same lengths, hence:

[tex]4x - 1 = 3x + 3[/tex]

[tex]x = 4[/tex]

Hence:

[tex]VM = 4x - 1 = 4(4) - 1 = 16 - 1 = 15[/tex]

[tex]MW = VM = 15[/tex]

The total length is:

[tex]T = VM + MW = 15 + 15 = 30[/tex]

The length of the line segment is of 30 units.

A similar problem is given at https://brainly.com/question/24352869

I need the answer please

Answers

Answer:

D - All rational numbers are integers.

Step-by-step explanation:

This is because integers is a subcategory of rational numbers, so there are other rational numbers that aren't integers.

If US = 14, find the value of x

Answers

Answer:

4-6+2x=14

2x=14+6-4

2x=16

x=8

Step-by-step explanation:

Answer:

Step-by-step explanation:this is easy just find x and times it by 2 and then it will equal 14 so the awser is 7

Plot A(−3,−1), B(−3,2), C(6,9), and D(3,9) in a coordinate plane. Are AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ congruent? Yes No

Answers

Answer:

Yes

Step-by-step explanation:

The given points are A(−3,−1), B(−3,2), C(6,9), and D(3,9).

Plot these points on a coordinate plane as shown in the below graph.

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using this formula, we get

[tex]AB=\sqrt{(-3-(-3))^2+(2-(-1))^2}[/tex]

[tex]AB=\sqrt{(0)^2+(3)^2}[/tex]

[tex]AB=3[/tex]

[tex]CD=\sqrt{(3-6)^2+(9-9)^2}[/tex]

[tex]CD=\sqrt{(-3)^2+(0)^2}[/tex]

[tex]CD=3[/tex]

Since AB=CD, therefore the required answer is yes, AB and CD are congruent.

Ms. Davis' is one less than 7 dozen. Ms. Davis is 7.2 more than 60% of her mother's age. Ms. Davis daughter is 3.5 more than 1/2 her mother's age. How old are ms. Davis, her mom, and her daughter?

Answers

Answer:

Ms. Davis=83 years

Her mom=126.33 years

Her daughter=66.67 years

Step-by-step explanation:

Let her mother's age=x

Ms. Davis= 7 dozens - 1

=(7*12)-1

=84-1

= 83 years

Ms. Davis= 7.2 + 60% of x

83=7.2 + .6x

83 - 7.2= .6x

75.8= .6x

Divide both sides by .6

75.8 / .6 = x

126.33 years

Ms. Davis daughter = 3.5 + 1/2 of x

=3.5 + 1/2(126.33)

=3.5 + 126.33 / 2

=3.5 + 63.165

=66.665

Approximately 66. 67 years

A restuarant bill is $35.50. How much EXTRA money should you leave if you want to add a %20 tip?​

Answers

Answer: $ 7.20

Step-by-step explanation:

Multiply the cost ( 35.50) by 20% or 0.20 and you get your answer ( 7.20 ). Hope this helps!

The population of Tel Aviv, Israel was 413,000 in 2003. What is 413,000 rounded to ther nearest hundred-thousand?

Answers

Answer:

400,000

Step-by-step explanation:

Tel Aviv Population (2013) - 413,000

413,000 rounded to nearest hundred-thousand = 400,000

Final sum= 400,000. Hope this helps!

Answer: 400,000

The population of Tel Aviv in 013 was 413,000.

We have to round this number to the nearest 100,000.

We get 400,000, so it is the answer.

Question is down below

Answers

Answer:

B

Step-by-step explanation:

p(x) = x² - 2√2x + 1

p(2√2) = (2√2)² - 2√2*2√2 + 1

           =2²*(√2)² - 2*2*√2*√2  + 1

           = 4 *2 - 4*2 + 1

           = 8 - 8 + 1

           = 1

Answer:

B

Step-by-step explanation:

Given

p(x) = x² - 2[tex]\sqrt{2}[/tex] x + 1, then

p(2[tex]\sqrt{2}[/tex] )= (2[tex]\sqrt{2}[/tex] )² - 2[tex]\sqrt{2}[/tex](2[tex]\sqrt{2}[/tex] ) + 1 = 8 - 8 + 1 = 1 → B

What Is a domain of a function?

Answers

Answer: a set of all possible inputs for the function.

Step-by-step explanation:

Answer:  A domain of a function is all set of inputs that make the function definable.

Step-by-step explanation:

José sale de su casa con $50 y gasta 4/5 en el cine y 1/10 en chocolates, ¿qué fracción del
total ha gastado?

Answers

Answer:

9/10

Step-by-step explanation:

Which square root is a rational number ? Square root 50, square root 70, square root 81, square root 96

Answers

Answer:

square root of 81

Step-by-step explanation:

[tex] \sqrt{81} = 9[/tex]

so 9 is rational number.

the rest are irrational number

Without simplifying, select all the expressions that represent a rational number. Group of answer choices LaTeX: 4\frac{2}{3}+\frac{\sqrt{3}}{9} 4 2 3 + 3 9 4 2 3 + 3 9 4 2 3 + 3 9 LaTeX: 4\frac{2}{3}\times\frac{8}{\sqrt{3}} 4 2 3 × 8 3 4 2 3 × 8 3 4 2 3 × 8 3 LaTeX: 4\frac{2}{3}-\frac{\sqrt{4}}{8} 4 2 3 − 4 8 4 2 3 − 4 8 4 2 3 − 4 8 LaTeX: 4\frac{2}{3}\times\frac{\sqrt{3}}{9} 4 2 3 × 3 9 4 2 3 × 3 9 4 2 3 × 3 9 LaTeX: 4\frac{2}{3}\div\frac{\sqrt{4}}{8}

Answers

Answer:

Option C.

Step-by-step explanation:

We know the following properties,

1. Product of an irrational number and a non-zero rational number is always an irrational number.

2. Sum of a rational and an irrational number is always an irrational number.

3. Sum or products of rational numbers are always a rational number.

In option A,

[tex]4\frac{2}{3}+\frac{\sqrt{3}}{9}[/tex]

Here, [tex]\sqrt{3}[/tex] is an irrational number.

[tex]\frac{\sqrt{3}}{9}[/tex] is an irrational number using property 1.

[tex]4\frac{2}{3}+\frac{\sqrt{3}}{9}[/tex] is an irrational number using property 2.

So, using the above properties we can say that this expression represents an irrational number.

Similarly,

In option B,

[tex]4\frac{2}{3}\times\frac{8}{\sqrt{3}}[/tex]

Here, [tex]\sqrt{3}[/tex] is an irrational number. So, using the above properties we can say that this expression represents an irrational number.

In option C,

[tex]4\frac{2}{3}-\frac{\sqrt{4}}{8}[/tex]

Here, [tex]\sqrt{4}=2[/tex], which is a rational number.

So, this expression represents a rational number using property 3.

In option D,

[tex]4\frac{2}{3}\times\frac{\sqrt{3}}{9}[/tex]

Here, [tex]\sqrt{3}[/tex] is an irrational number. So, using the above properties we can say that this expression represents an irrational number.

Therefore, the correct option is C.

I don’t get it! It says “Match each division expression to it’s quotient.” So can anyone help with 1/12 / 1/6 ? Please!

Answers

We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply

1/12 divided by 1/6 = 1/12 * 6/1

-------

From here we multiply straight across.

The numerators multiply to get 1*6 = 6

The denominators multiply to 12*1 = 12

We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6

Final Answer:  1/2

The calculator has a broken 1 key and broken 7 key ,and a broken plus key .Write at least on way to make each of the following numbers 17,41,71,.​

Answers

Answer:

20-3

43-2

73-2

Step-by-step explanation:

subtract bro

1. 2.5x + 100 = 600
2. 10 = 2x - 4
3. 2x + 5 = 30

Answers

Answer:

1) 200 2) 7 3) 12.5

Step-by-step explanation:

For god's sake, use a calculator

The 2017 population of California was 39536653 and of Arizona was 7016270. Compute and compare the rate of pedestrian fatalities per 100,000 residents.

Answers

Answer:

The pedestrian fatality rate for California per 100,000 residents would be;

= (858/39,536,653) * 100,000

= 2.17 people per 100,000

In Arizona that figure is;

= (216/7,016,270) * 100,000

= 3.08 people per 100,000

This shows that even though California has a higher number of pedestrian fatalities in absolute terms, when this figure is made relative to population, Arizona has more pedestrian fatalities.

The total fertility rate (TFR) of a country is the average number of births per woman in that country. In Country W the TFR went from 5.0 in 1995 down to 3.0 in 2005. What is the percent change in the TFR in Country W from 1995 to 2005

Answers

Answer:

Decrease in TFR of 40%.

Step-by-step explanation:

Given that:

TFR (Total Fertility Rate) in 1995 = 5

TFR (Total Fertility Rate) in 2005 = 3

To find:

Percentage change in TFR from 1995 to 2005 = ?

Solution:

First of all, let us have a look at the formula for calculating the percentage change in any quantity.

Let p be the old value and

q be the new value.

Then percentage change is given as:

[tex]Percentage\ change = \dfrac{New\ Value - Old\ Value}{Old\ Value} \times 100[/tex]

Here, Old value is 5

New value is 3.

[tex]Percentage\ change = \dfrac{3 - 5}{5} \times 100\\\Rightarrow Percentage\ change = \dfrac{- 2}{5} \times 100\\\Rightarrow Percentage\ change = - 40\%[/tex]

Negative sign means there is a decrease of 40%.

So, Decrease in TFR of 40% is the answer.

Bob's Bike Shack charges a set fee of $6, plus $4 per hour, to rent a bike. If your total bill is $30, how many hours did you rent the bike for?

Answers

20

Step-by-step explanation:

30-6=24-4=20 that how you find your a answer

When the digits of two-digit, positive integer M are reversed, the result is the two-digit, positive integer N. If M > N, what is the value of M

Answers

Answer:

The value of M is 91.

Step-by-step explanation:

Suppose T represents the tens digit and U represents the units digit.

Then the numbers M and N are:

M = 10T + U

N = 10U + T

Compute the value of M - N as follows:

M - N = 10T + U - 10U - T = 9T - 9U = 9 (T - U)

Given:

M > N

⇒ T - U > 0

⇒ T > U

Also, M - N is a multiple of 9.

Since M - N is a two-digit number, the possible values of M - N are:

18, 27, 36, 45, 54, 63, and 72

The values 81, 90 and 99 would not be considered since:

9 × 9 = 81

9 × 10 = 90

9 × 11 = 99

T - U = 9 (T - U) = 9 , 10 or 11 respectively and the largest difference for T − U we can get is 9 - 0 = 9 - 0 = 9.

Even this would result in N = 9, which is not a 2-digit number.

It is provided that the integer (M - N) has 12  factors.

Of the possible values of M - N the integer with 12 factors is 72.

The factors of 72 are:

1×72

2×36

3×24

4×18

6×12

8×9

So, M - N = 72.

⇒ M - N = 9 (T - U)

        72 = 9 × 8

⇒ T - U = 8

And since T > U, the values of T and U are:

T = 9 and U = 1

We cannot use T - U = 8 - 0 = 8, because then N will be not a two-digit number.

So, M = 91 and N = 19 and their difference is 72.

Thus, the value of M is 91.

Apples are on sale for $0.85 per pound. Darla has a $5 bill. About how many pounds of apples can she buy?

Answers

Answer:

5

Step-by-step explanation:

The number of pounds of apples that she can buy will be 5.88 pounds.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Apples are on sale for $0.85 per pound. Darla has a $5 bill.

The number of pounds of apples that she can buy will be calculated as,

⇒ $5 / $0.82

⇒ 5.88 pounds

The number of pounds of apples that she can purchase will be 5.88 pounds.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Classify each of the following numbers as real, whole, integer, rational or irrational. Some numbers will have more than one classification. 1. -98 2. 1.98 3. 1270 4. 1,232,323

Answers

Answer:
1). -98 (integer, real number, rational)
2). 1.98 (real, rational)
3). 1270 (whole, real, integer, rational)
4). 1,232,323 (whole, real, integer, rational)

Convert this number expressed in standard form to scientific notation. 28,500,000 1. Move the decimal to create the coefficient: 2.8500000 2. Write in scientific notation: 2.85 × 10x What is the value of x in the scientific notation? x =

Answers

Answer:

7

Step-by-step explanation:

We know the decimal place is after all those zeroes. Move the decimal x places to the left, until it is located between the 2 and 8. Since it moved 7 spaces, that is how you know the power of the ten. A faster way of doing this is the power is always one less than the number of digits of the number.

Answer: 7

Step-by-step explanation:

what statement is true about the angles in triangle PQR

Answers

Answer:

(C) The sum of the measures of ∠P, ∠Q, and ∠R is 180°

Step-by-step explanation:

All triangles, when their three angles are added up, gets us 180°.

This goes without saying, even with scalene triangles.

Additionally, the angles in squares add up to 360°, the angles in a pentagon add up to 540°.

Hope this helped!

plz give correct answer with explanation...correct answer will be marked BRAINLIEST and be followed...

Answers

Answer:

x=33

because it lies on the same side of the angle

y= 115

plz mark brainliest

180-155=65 (linear pair)

65+33+x=180 (asp)

98+x=180

x=180-98

x=82

and y...

180-82=98  linear pair

98+36+y=180 asp

134+y=180

y=180-134

y=46

Select the correct answer. Solve for x. (x - 4)(x - 4) = 0 A. -16 B. -4 C. 4 D. 16

Answers

Answer:

C. 4

Step-by-step explanation:

To solve, set each parenthesis equal to the opposite side (0 in this case).

(x - 4)(x - 4) = 0

x - 4 = 0

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides:

x - 4 (+4) = 0 (+4)

x = 0 + 4

x = 4

Do the same for the other parenthesis:

x - 4 = 0

x - 4 (+4) = 0 (+4)

x = 0 + 4

x = 4

C. 4 is your answer.

~

Answer:

Hey there!

(x-4)(x-4)=0

(x-4)^2=0

x-4=0

x=4

The correct answer would be C.

Let me know if this helps :)

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