Find the 23rd term of the arithmetic sequence whose common difference is d=4 and whose first term is a^1 = 3.

Answers

Answer 1

Answer: the 23rd term of the arithmetic sequence=91

Step-by-step explanation:

The nth term of an arithmetic sequence is given as

an=a+  (n-1) d

Given common difference , d=4 and

first term is a^1 = 3.

We have that

a₂₃=3+  (23-1) 4

a₂₃=3+  (22) 4

a₂₃=3+  88

a₂₃=91

the 23rd term of the arithmetic sequence=91


Related Questions

Which of the following show the Associative Property of Addition? 3(6 + 10) = 3 • 6 + 3 • 10 3 – (6 + 10) = (3 – 6) + 10 3 • (6 • 10) = (3 • 6) • 10 3 + (6 + 10) = (3 + 6) + 10

Answers

Answer:

The answer is 47

Step-by-step explanation:

Solve for x
1 point
х
6
8
O
6
8
O 10

Answers

Answer:

x = 10

Step-by-step explanation:

[tex]a^{2} +b^2=c^2[/tex]

[tex]6^{2} +8^2=c^2[/tex]

[tex]36+64=100[/tex]

[tex]\sqrt{100}[/tex] = 10

X = 10
A^2 + b^2 = c^2
6^2 + 8^2 = x^2
36+64=x^2
Square root both sides
X = 10

Work out the size of angle X

Answers

It’s 60 because both lines are parallel

Subtract the
rational

7 - 12

Answers

Answer:

-5

Step-by-step explanation:

12-7=5

7-12=-5

If this helps please mark as brainliest

Arithmetic

7-12

Meaning, 12 less than 7.

7-12=-5

What is The answer , what goes in the QR

Answers

may be QR also equal to 34

A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
A. 33 miles
B. 83 miles
C. 120 miles
D. 270 miles

Answers

Answer:

270

Step-by-step explanation:

you would do 18x15

Find the value of x in the isosceles triangle shown below.​

Answers

USING PYTHAGORAS THEORAM,

x²+3²= 5²

x²+9= 25

x²= 25-9 = 16

x= √16

x= 4

OPTION D

18) What is the DIAMETER of the circle below? *

12.4mm

Answers

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

1075.21009

Step-by-step explanation:

The angles (x-10) degrees and 190 - X degrees are​

Answers

Answer:

HEYA FRIEND

X-10+190-X

= 180

SO THEY ARE SUPPLEMENTARY ANGLES

Daisy's mom is 4 times as old as she.The sum of their ages 6 years ago was 28.How is her mother now?​

Answers

Answer:

32

Step-by-step explanation:

Daisy's mom is 4 times as old as she.

m = 4d

The sum of their ages 6 years ago was 28.

(m - 6) + (d - 6) = 28

Substitute for m = 4d

(4d - 6) + (d - 6) = 28

Combine like terms

5d - 12 = 28

5d = 40

Divide by 5

d = 8

m = 4d

m = 4 * 8

m = 32

the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number​

Answers

Answer:

11

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let the third number be x , then

[tex]\frac{18+16+x}{3}[/tex] = 15 ( multiply both sides by 3 to clear the fraction )

34 + x = 45 ( subtract 34 from both sides )

x = 11 ← third number

A car collection has ¼ black cars, ⅝ red cars ond 7 white cars. Draw model of the car collection?​

Answers

answer below.

mark me brainlist

Answer:

Step-by-step explanation: Let the total no of cars in the collection be X

Number of black cars = (1/4)X

Number of red cars = (5/8)X

Number of white cars= 7

Summation of all the cars,

(1/4)X + (5/8)X + 7 = X

X= 56

Therefore,

Number of black cars = (1/4) of 56 = 14

Number of red cars = (5/8) of 56 = 35

Number of white cars = 7

Josh makes a $1500, 5% simple interest personal loan to his friend Sean for a period of 8 years. When Sean settles his loan at the end of the 8 years, how much money, in total, must he pay Josh? The formula for simple interest is I = prt.

Answers

Answer:

$2100

Step-by-step explanation:

I = prt

I = $1500(0.05)(8)

I = $1500(0.4)

I = $600

$1500 + $600

= $2100

-7 2/3 + ( -5 1/2 ) + 8 3/4 =
please help fast :)

Answers

Answer:

-4/5/12

Step-by-step explanation:

-7/2/3 + (-5/1/2) + 8/3/4

-13/1/6 + 8/3/4

-4/5/12

Suppose that the monthly salary can be modeled by the function p(x) = 20,000 + 50x. In the formula, 20,000 represents the base salary, and the person gets an additional $50 for every sale. The variable x represents the number of sales. How many items does the salesperson need to sell to earn $30,000?

Answers

Answer:

$50 is the earned for every sales

$30000 is earned for 30000/50=600

He has to made 600 sales to earn 30000

What is the product?
(-2d^2+s)(5d^2-6s)

Answers

The answer is −10d4+17d2s−6s2

simplify
−3.2(2x − 2.1)

Answers

The answer is -6.4x + 6.72

Hope this helps
-6.4x+6.72 , should be correct

How does T. S. Eliot in "The Waste Land" differ in his interpretation of subject
matter from Geoffrey Chaucer in The Canterbury Tales?
A. He turns Galatea into a real woman. 0
B. He changes the medium to live theatre. 0
C. He writes in a completely different genre.
0
D. He portrays April huch more negatively.

Answers

Answer:

Step-by-step explanation: D: he portrays april much more negatively.

T. S. Eliot in "The Waste Land" differ in his interpretation of the subject matter from Geoffrey Chaucer in The Canterbury Tales as He portrays April much more negatively. Thus, option D is correct.

What is a Waste Land?

The Waste Land emphasizes the moral, cultural, and social deterioration of contemporary society brought on by the commercializing of life and the availability of everything for purchase. Even in the area of love, there is an issue of gain and loss. People no longer have moral principles or beliefs.

Eliot describes a world of desolate panoramas, despair, and spiritual emptiness in his writings, giving readers a somber impression of the earth and those who live there. He also argues that those who live in this world are destined to suffer since they are powerless to change their circumstances.

Therefore, option D is the correct option.

Learn more about the Waste Land, here:

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X+3y=6 2x+8y=-12 Solve silmatenous equations​

Answers

Hope this helps,

Regards,
ArmyCee:)

Answer:

[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

-7/45

-4/15+1/9 (two negatives make a plus or addition)

least common multiple of 15 and 9 = 45

 45 is the denominator

15*3=45 , 9*5 = 45

-4*3 = -12 ,1*5 = 5

-12+5 = -7/45

Answer:

-7/45

Step-by-step explanation:

find lowest common denominator: 45 (9 x 5 = 45, 15 x 3 = 45)

[tex]-\frac{4}{15} = \frac{(4*3)}{(15*3)} =-12/45\\\\\frac{1}{9}=\frac{(1*5)}{(9*5)} =5/45[/tex]

subtracting a negative = addition

[tex]-\frac{12}{45} +\frac{5}{45}\\\\=\frac{-12+5}{45} \\\\=-\frac{7}{45}[/tex]

What is the median of this set of data?

362, 187, 211, 298, 331, 250, 347, 199

Answers

Answer:

187, 199, 211, 250, 298, 331, 347, 362

[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]

Answer:

The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.

Step-by-step explanation:

ascending order : 187, 199, 211, 250, 298, 331, 347, 362

answer: 250, 298 .

A teacher writes the following product on the board:
(5x + 2)(x + 4) = 5x^2 +22x +8
Palesa says that 5x^2 +22x + 8 is a factor of 5x +2.
Nune says that 5x+ 2 is divisible by 5x^2 +22x +8.
Who is correct?

Answers

This is obvious come on Joe is correct

Find the value of x.

Answers

Answer:

Step-by-step explanation:

This is a right triangle; so you can use the Pythagorean Theorem ([tex]a^2 + b^2 = c^2[/tex]), where a and b are the lengths of the legs and c is the hypotenuse.

You get: [tex]5^2 + 12^2 = c^2[/tex]

Simplify the expression: [tex]25 + 144 = c^2[/tex]

Combine like terms: [tex]169 = c^2[/tex]

Take the square root of both sides: [tex]\sqrt{169} = \sqrt{c^2}[/tex]

Evaluate: 13 = c

So the answer is letter c ... x = 13

What single decimal multiplier would you use to increase by 5% followed by a 20% increase?

Answers

Answer:

The desired single multiplier is 1.26.

Step-by-step explanation:

A 5% increase results in the original amount PLUS 5% of the original amount:

1.05(original amount)

If a 20% increase follows, we must multiply the above 1.05(original amount) by 1.20:

1.20(1.05)(original amount), or (after multiplying), 1.26.

The desired single multiplier is 1.26.


If you rolled two dice, what is the probability
that you would roll a sum of 12?
Give your answer as a simplified fraction, Enter
the number that belongs in the green box.
second
first
1 2 4 5 6
11,1 1,2 1,3 1,4 1,5 1,6
212,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
44,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6

Answers

Probability is 1/36.

What is probability?

The probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

Two dices were rolled.

Total outcomes in sample space: S = 36

Outcomes which have sum as 12 are E = {(6,6)}

Required Probability: P(E)= 1/36

Hence, Probability is 1/36 of which have sum as 12

Learn more about Probability

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Answer:

1/36

Step-by-step explanation:

I need help with this I’m almost done

Answers

All you have to do is look at the graph.
5 gallons of gas is $8.80, let’s figure out how much one gallon is. 8.80/5=$1.76.
1.76•6=10.56 check
1.76•7=12.32 check
Now let’s figure out how much 10 gallons of gas cost.
1.76•10=17.6
10 gallons of gas costs $17.60

i need the answer ill mark brainliest

Answers

Answer:

Choice D

Step-by-step explanation:

slope = 1

y = intercept = 4

y = |x| + 4

y = x + 4

100 points and reward brainliest!
(28-b)xb=187
b = ?

Answers

Answer:

[tex]b=11, b=17[/tex]

Step-by-step explanation:

To get rid of the parenthesis, distribute:

[tex]b(28-b)=187,\\28b-b^2=187[/tex]

Move all terms to one side and factor:

[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]

Answer:

b = 11, 17

Step-by-step explanation:

=> (28 - b) × b = 187

=> 28b - b² = 187

subtracting 187 from both sides

=> 28b - b² - 187 = 0

dividing the equation by (-1) and rearranging

=> b² - 28b + 187 = 0

breaking -28b into 2 variables such that the variable multiply to form 187b²

=> b² - 11b- 17b + 187 = 0

{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }

=> b (b - 11) - 17(b - 11) = 0

=> (b- 11)(b - 17) = 0

either

(b - 11) = 0

=> b = 11

or

(b - 17) = 0

=> b = 17

therfore,

b = 11, 17

(50 points) A diameter of a circle has endpoints P(-10, -2) and Q(4,6)

A. Find the center of the circle

B. Find the radius. if your answer is not an integer, express it in radical form.

C. Write an equation for the circle

Answers

Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the two end points of the diameter.

Formula

Center = (x2 + x1)/2 , (y2 + y1)/2

Givens

x2 = 4

x1 = - 10

y2 = 6

y1 = - 2

Solution

Center = (4 - 10)/2, (6 - 2)/2

Center = -6/2 , 4/2

Center = - 3 , 2

So far what you have is

(x+3)^2 + (y - 2)^2 = r^2

Now you have to find the radius.

You can use either of the endpoints to find the radius.

find the distance from (4,6) to (-3,2)

r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )

x2 = 4

x1 = -3

y2 = 6

y1 = 2

r^2 = ( (4 - -3)^2 + (6 - 2)^2 )

r^2 = ( (7)^2 + 4^2)

r^2 = ( 49 + 16)

r^2 = 65

Ultimate formula is

(x+3)^2 + (y - 2)^2 = 65

The radius is √65 = 8.06

A. 1/3=0.33
B. 1/6=0.17
C. 1/10=0.10
D. 1/4=0.25​

Answers

B

lmk if this helped
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