find the 40th term of an AP where 12th term is 45 and 17th term is 80.

Answers

Answer 1

Answer:

40th term = 241.

Step-by-step explanation:

17th term:

=  a1 + 16d = 80

12th term

=  a1 + 11d = 45       Subtracting the 2 equations:

5d = 80 - 45 = 35

d = 7

and a1 + 16(7) = 80

a1 = 80 -112 = -32.

Therefore the 40th term = -32 + 39*7

= 241.


Related Questions

What is the product?
5
-2
-6
2

Answers

Answer:

-3

4

Step-by-step explanation:

We do across times down

5*-1 + -2 *-1 = -5+2 = -3

-6 *-1 + 2 * -1 = 6 -2 = 4


A study of the effect on the human digestive system of potato chips made
with a fat substitute

Answers

Answer:

Perform an experiment

Step-by-step explanation:

The experiments state that it is the test which is to be carried to confirm or refute the hypotheses they had about a specific subject. Therefore, the study findings will be based on the outcome of these experiments.

Now, according to the given situation, an analysis of the impact of potato chips on the human digestive system with fat replacement is refer to perform an experiment.

So, the right answer is to perform an experiment.

the ratio of adults to children attending a new exhibit at the museum was found to be 8:5 based on this ratio , if 390 people attended one day , how many would be children

Answers

Answer:

150 children

Step-by-step explanation:

Ratio of adults to children= 8:5

Let the number of adults be 8 units and

the number of children be 5 units.

Total number of people

= 8 +5

= 13 units

Since there are 390 people,

13 units ----- 390 people

1 unit ----- 390 ÷13= 30 people

Number of children= 5 units

5 units ----- 30 ×5= 150 people

Thus, there are 150 children.

Solve b – 3/16 =5/16

b= __

Answers

Answer: 0.5

Step-by-step explanation:

Add 3/16 to both sides to isolate the variable on one side. Then the equation should be x=8/16 which is 0.5.

if |x|=6 then x=-6 true or false

Answers

Answer:

false because it could be 6

Step-by-step explanation:

Find the prime factors of 60 by dividing by prime numbers.​

Answers

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

60 = 2*2*3*5

which is the same as saying

60 = 2^2*3*5

7 billion expressed in scientific notation

Answers

It’s 7.0x10^9 in scientific notation

what is the DISTANCE
FORMULA?

Answers

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

simplify 247+13 all the work please​

Answers

Answer:

247+13=260

Step-by-step explanation:

Fandango has movie tickets on sale for 1\2 price. You buy 2 $12 tickets and you must pay 6% sales tax. What is your total cost after discount and taxes?​

Answers

Answer:

$12.72 or $25.44

Step-by-step explanation:

if he buys 2 tickets that are $12 each. half of 12 is 6 so you will have to pay 12 plus tax(6%). to find tax you would multiply 12 x .06 which would be $12.72. if it say the tickets are half off from $24 being $12 each then the answer would be $25.44. the question  dosent specify that.

hope i helped

Change from percent to decimal 30% ?

Answers

Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.

0.3

What is the difference of 67.5 and 23.678

Answers

Answer:

43.822

Step-by-step explanation:

67.5

- 23.678

43.822

If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(1))?

Answers

Answer:

[tex]f(g(1))=11[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]

And we want to find f(g(1)).

So, let's find g(1) first:

[tex]g(x)=-3x+5[/tex]

Substitute 1 for x:

[tex]g(1)=-3(1)+5[/tex]

Simplify:

[tex]g(1)=-3+5[/tex]

Add:

[tex]g(1)=2[/tex]

So:

[tex]f(g(1))=f(2)[/tex]

Now, substitute 2 for x in f(x):

[tex]f(x)=2x+7\\f(2)=2(2)+7[/tex]

Multiply:

[tex]f(2)=4+7[/tex]

Add:

[tex]f(2)=11[/tex]

So:

[tex]f(g(1))=11[/tex]

solve the product of : 0.017 and 10
(( TYPE the STEPS you used to set up the problem and type your steps to solve. )) THANK YOU!!​

Answers

The product of any two numbers is the result of multiplying them

You can use pencil and paper to get the job done, or use a calculator.

A shortcut is to simply move the decimal over 1 spot to the right.

This is because multiplying 0.017 and 10 is the same as 0.017*10^1, where the exponent of positive 1 means "move decimal point 1 spot to the right". This only works if you multiply by powers of 10.

Answer: 0.17
The answer is 0.17 hope it helps

Simplify the expression 15k+8(11-k)

Answers

Answer:

15k+88-8k

7k+88 is the solution

Answer:

Look below

Step-by-step explanation:

THe screenshot is proof

PLS ANSWER ASAP I WILL MAKE YOU BRAINLIEST ( Number 10.)

Answers

Answer:

x=160°

since the sum of angles of the shape measures 540°

by summing up the values, we have

3x=480 divide both sides by 3

x=160°

Answer:

160°I hope i am not too late

Step-by-step explanation:

[tex]Sum\:of\:angles\: = 540\\\\\frac{1}{2}x +\frac{1}{2} x +(x-15)+(x-25)+100=540\\\\=\frac{1}{2}x+\frac{1}{2}x+x-15+x-25+100=540\\\\Group\: like \:terms\\\frac{1}{2}x+\frac{1}{2}x+x+x-15-25+100=540\\\\Add\:similar\:elements \::\frac{1}{2}x+\frac{1}{2}x=2\times\frac{1}{2}x\\2\times\frac{1}{2}x+x+x-15-25+100=540\\\\Simplify\\x+2x-15-25+100=540\\Simplify\\3x +60 = 540\\\\3x = 540-60\\3x = 480\\Divide \:both\:sides\:of\:the\:equation \:by\:3\\\\\frac{3x}{3} = \frac{480}{3}\\ x =160[/tex]

PLEASE HELP I WOULD REALLY APPRECIATE IT...
Find the sum.
{-7b+8c}-{12a+14}+{5a+5b}

Answers

This is your answer, hope it helped.

Answer:

-2b+8c-7a-14

Step-by-step explanation:

You first combine like terms to simplify.

Given:ST=3x=3 and TU=2x=9 what is the value of ST

Answers

Answer:(x+3)2 4+4=( x+3)2=4

Step-by-step explanation:

What is another word for evaluate?

Answers

Answer:

another word for evaluate is solve

Answer:

Evaluate --> find a numerical expression or equivalent for (an equation, formula, or function).

Also evaluate means checking ( for a teacher )

A cone and cylinder have the same height and their bases are congruent circles. If the volume of the cylinder is 120 cubic inches, what is the volume of the cone?

Answers

Answer:

Volume of cone = 40 in³

Step-by-step explanation:

Given:

Volume of cylinder = 120 in³

Height of cylinder = Height of cone

Radius of cylinder = Radius of cone

Find:

Volume of cone

Computation:

Volume of cylinder = πr²h = 120 in³

Volume of cone = (1/3)πr²h

So,

Volume of cone = (1/3)(120)

Volume of cone = 40 in³

What’s the value of g(9)?

Answers

Answer:

-12

Step-by-step explanation:

Since we want to find g(9), we will use the function g(x):

[tex]g(x)=-2x+6[/tex]

Substitute:

[tex]g(9)=-2(9)+6[/tex]

Multiply:

[tex]g(9)=-18+6[/tex]

Add:

[tex]g(9)=-12[/tex]

So, our answer is -12 :)

Determine if the sequence shown below is arithmetic or geometric.



1, 8, 15, 22, 29...

Answers

Answer:

it is arithmetic

Step-by-step explanation:

moves up by 7

When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michele come to about the linear function with the smallest slope?

Answers

Answer:

The linear function with the smallest slope must be multiple of one of the other two linear functions if all functions are coplanar. Otherwise, they intersect at the given point in space.

Step-by-step explanation:

A system of two linear functions with two variables have an unique solution on a given plane, as there are three linear function, it means that linear function with the smallest slope must be multiple of one of the other two linear functions.

But, if those functions are not all coplanar and have 3 variables, they intersect at the given point.

a cube measuring 1 cm on each side, what is the volume, if the cube was dropped into 28ml of water. what would the new volume be?

Answers

Answer:

29 ml

Step-by-step explanation:

Vcube = 1cm×1cm×1cm = 1 cm³

1 cm³ = 1 ml

If this cube is dropped into a 28ml of water the new reading will be 29 ml.

hope this helped :)

simplify the following expression.
[tex]14 - 24 \div 8 + 3 \times {4}^{2} [/tex]

Answers

Step 1: divide: 14-3+3*4^2
Step 2: evaluate the power: 14-3+3*16
Step 3: multiply: 14-3+48
Step 4: add and subtract: 59

Answer:59

Which sequence describes the inverse operations used
for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the
division property of equality
O the addition property of equality and then the
multiplication property of equality
O the subtraction property of equality and then the
division property of equality
the subtraction property of equality and then the
multiplication property of equality

Answers

Answer:

A) the addition property of equality and then the division property of equality

Step-by-step explanation:

I just did it hope this helps! :)

The addition property of equality and then the division property of equality is the sequence which describes the inverse operations used

for steps 2 and 3 to solve the linear equation

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given Linear equation is -1/2 (6x + 10) = 13

Minus one by two times of six x plus ten equal to thirteen

Step 1: –3x – 5 = 13

By addition property we add +5 on both the sides

Step 2: –3x = 18

By division property we divide both sides by -3

Step 3: x = –6

Hence, the addition property of equality and then the division property of equality is the sequence which describes the inverse operations used

for steps 2 and 3 to solve the linear equation

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

p2-16p+48=0 Please solve this math problem

Answers

Answer:

( p - 4 ) ( p - 12 ) = 0

Step-by-step explanation:

To factor this equation, let's apply the quadratic formula.

p^2 - 16p + 48 = 0

Let a = 1, b = -16, c = 48

[-b +/- sqrt(b^2 - 4(a)(c))] / 2 (a)

[- (-16) +/- sqrt( (-16)^2 - 4(1)(48)) ] / 2 (1)

= [ 16 +/- sqrt( 256 - 192) ] / 2

= [ 16 +/- sqrt(64) ] / 2

= [16 +/- 8] / 2

p = (16 + 8) / 2 ; p = (16 - 8) / 2

p = 24 / 2  ; p = 8 / 2

p = 12  ;  p = 4

Hence, this equation factors into the following:

( p - 4 ) ( p - 12 ) = 0

Cheers.

1+x^2-3+2y+7x^2+3+3y

Answers

Answer:

8x^2+5y+1

Step-by-step explanation:

1+x^2-3+2y+7x^2+3+3y

Combine like terms

x^2+7x^2+2y+3y+3+1-3

8x^2+5y+1

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

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

= 8x^2 + 5y + 1

write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.​

Answers

Answer:

work shown and pictured

In Russel Elementary School there are 50 students. At the beginning of the year, each student planted three flowers in the school yard. During the year, eight flowers withered. Which of the following expressions represents the number of flowers that remained in the school yard? A. (3 × 50) – 8 B. (50 + 3) – 8 C. (50 × 8) – 3 D. (50 × 3) ÷ 8

Answers

Answer:

option A is correct answer

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