If as = 24, a, = 40, then find a20

If As = 24, A, = 40, Then Find A20

Answers

Answer 1

Answer:

[tex]a_{20}[/tex] = 84

Step-by-step explanation:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 )d

~~~~~~~~~~~~~

[tex]a_{5}[/tex] = [tex]a_{1}[/tex] + (5 - 1)d = 24

[tex]a_{9}[/tex] = [tex]a_{1}[/tex] + (9 - 1)d = 40

[tex]a_{1}[/tex] + 4d = 24 ........... (1)

[tex]a_{1}[/tex] + 8d = 40 ........... (2)

(2) - (1)

4d = 16 ⇒ d = 4

[tex]a_{1}[/tex] + 8(4) = 40 ⇒ [tex]a_{1}[/tex] = 8

[tex]a_{20}[/tex] = 8 + ( 20 - 1 ) × 4 = 84


Related Questions

I need help. Please and thank you

Answers

Answer:

3/4

Step-by-step explanation:

Subtract 3 2/4 from 2 3/4

- Multiply 3 and 4 to get 12.

- Add 12 and 2 to get 14.

- Reduce the fraction 14/4 to lowest terms by extracting and canceling out 2.

- Multiply 2 and 4 to get 8.

- Add 8 and 3 to get 11.

- Least common multiple of 2 and 4 is 4. Convert 7/2 and 11/4 to fractions with denominator of 4

- Since 14/4 and 11/4 have the same denominators, subtract both by subtracting their numerators

- Subtract 11 from 14 to get 3

Find the Surface Area:


A) 138 m^2
B) 304 m^2
C) 252 m^2
D) 75 m^2
E) 151 m^2

Answers

Answer:

151 m^2

Step-by-step explanation:

Given,

Height ( h ) = 10 m

Radius ( r ) = 2 m

To find : Surface Area

Here, the shape is cylinder.

Formula : -

Surface area of cylinder = 2πr ( r + h )

Note : -

The value of π is 3.14

Surface area of cylinder

= 2πr ( r + h )

= 2 x 3.14 x 2 ( 2 + 10 )

= 12.56 ( 12 )

= 12.56 x 12

= 150.72

= 151 m^2 ( approximately )

The coordinates of the vertices of quadrilateral HIJK are H (-2, -1), I (2, 1), J (5, 0), and K (-1, -3). Isabella states that quadrilateral HIJK is a parallelogram. Is Isabella correct? Support your answer and show all work.

Answers

Answer:

Step-by-step explanation:

How do I write 780,000 in scientific notation.

I’m having finals and I need lots of help pls explain how u got it answer

Answers

the scientific notation is just another mumble jumble way to write the same thing without so many repetitive zeros, so hmmm 780000 has 4 zeros, so what we do is we can say

78 and 4 zeros following it

or we can say

78 * 10⁴, if we get that product, is 780000

in scientific notation, we only leave one digit to the left of the decimal point

so the same thing above can be written as

78 * 10000, can be written as 78.0 * 10000

or as

7.8 * 100000

or as

0.78 * 1000000

check their product

7.8 * 100000, is really just 780000

because we moved the decimal to the left one more slot, it

became 7.8 * 100000

or in

scientific notation, 7.8 ⨉ 10⁵

Answer:

780,000 [tex]=7.8 * 10^5[/tex]

Step-by-step explanation:

Don't worry! I hope you do great on your finals, goodluck<3.

What is scientific notation?It's a way of expressing numbers that are either too large or too small.The formula for scientific notation is written as shown below:

[tex]a * 10^{b}[/tex]

Variable A represents a number thats absolute value has to be greater than or equal to 1 and less than 10. This is represented below

1 ≤ | a | < 10

Therefore we know that 780,000 will be 7.8, because it is greater than 1 and less than 10 as well can still represent our original number.

[tex]7.8 * 10^b[/tex]

Assuming you know how powers work, if not I'll go over them very quickly.

What is an exponent?An exponent(also called a power or indices) is a tells you how many time you are going to use the number in multiplying a number by itself.

For example 8² = 8 * 8, 8³ = 8 * 8 * 8.

To find what the exponent will be is pretty simple, you take 780,000 and identify what place our number is in.

what I mean by this is if its in, tenths, hundreths, thousands, 10 thousands..

It's pretty obvious that our number is in the 100 thousands place.

Now if you know you're powers pretty well, this will be easy, although let me try to walk you through it if not.

remember the equation:

[tex]7.8 * 10^b[/tex]

We are trying to find b.

10 to what power is equal to 100,000

[tex]10^{1} = 10, 10^{2} = 100, 10^3 = 100, 10^{3} = 1,000, 10^4 = 10,000, 10^5 = 100,000[/tex]

How I like to remember what a power equals is counting the 0's :)

How we know if our answer is correct is plugging it into our equation and solve:

[tex]7.8 * 10^5[/tex]

We know that 10 to the power of 5 equals 100,000.

[tex]7.8 * 100,000[/tex]

and using a calculator, or mental math, or doing it the old fashion way, we know that 7.8 * 100,000 is equal to 780,000

What are the integer solutions to the inequality below? 2 x < 3 x + 4 ≤ x + 6

Answers

Answer:

the answer is above please

SOMEBODY PLS HELP ME

Answers

Answer:

I would say 6m because i measured the side that is labeled 6m, and DE is also 6m.

( I hope I'm right ^^)

( I hope this helps ^^)

The triangular prism below has a base area of 31 units^2

and a volume of 310 units^3

Find its height.

Answers

Given:[tex] A_{B} = 31 \: {units}^{2} [/tex][tex]V = 310 \: {units}^{2} [/tex]To find:

The height of the given triangular prism.

Solution:

[tex]h = \frac{V}{ A_{B}}[/tex]

[tex]h = \frac{310}{31} [/tex]

[tex]\large\boxed{\sf{h=10 \: units}}[/tex]

Therefore, the height of the given triangular prism is 10 units.

h= 310/31

h= 10 units

hope this helps

What is the expansion of the series sum from n equals 1 to 4 of 2 to the n plus 1 power question mark

2 + 4 + 6 + 8
2 + 4 + 8 + 16
4 + 6 + 8 + 10
4 + 8 + 16 + 32

Answers

The expansion of the series is 2 + 6 + 8 + 10

How to determine the expansion?

The summation expression is given as:

[tex]\sum\limits^4_{n=1} 2(n + 1)[/tex]

When n = 1, we have:

2(n + 1) = 2(1 + 1)  = 4

When n = 2, we have:

2(n + 1) = 2(2 + 1)  = 6

When n = 3, we have:

2(n + 1) = 2(3 + 1)  = 8

When n = 4, we have:

2(n + 1) = 2(4 + 1)  = 10

So, we have:

[tex]\sum\limits^4_{n=1} 2(n + 1) = 2 + 6 + 8 + 10[/tex]

Hence, the expansion of the series is 2 + 6 + 8 + 10

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Answer:

The correct option is actually d. 4 + 8 + 16 + 32

Step-by-step explanation:

The diagram shows a regular pentagon.
a)
Work out the sum of the interior angles.
b)
Work out the size of one interior angle.

Answers

Answer:

a) 540° b) 108°

Step-by-step explanation:

Formula: (n-2)×180°

a) (5-2)×180°

3×180°=540°

b) 540°÷5=108°

n means nr of sides

The angle of elevation from a soccer ball on the ground to the top of the * 1 poi
goal is 34°. If the goal is 8 feet tall, what is the distance from the ball to
the goal?

Answers

Answer:

11.86

Step-by-step explanation:

Round 6254 correct to 1 signature figure

Answers

Answer:

6000

Step-by-step explanation:

6.25×10 3x 6.3×10 3x6×10 3×

solve the inequality 1/2b+2≤8

Answers

1/2b+2≤8

1/2b≤6

b≤12

Any number less than or equal to 12 can solve the equation.

Answer

[tex]b\leq 12[/tex]

Step-by-step explanation

You would subtract two from the eight and that would get you six, and the reciprocal of 1/2 is two so technically you would multiply the 6 by two and that gets you 12.

Hope this helps any!

A__ is the amount you pay for the purchase of a house that decreases the amount of the loan.
O A closing payment
B. closing cost
O C. origination payment
D. down payment

Answers

Answer:

Down payment

Step-by-step explanation:

Down payment is the amount you pay for the purchase of a house that decreases the amount of the loan. It decreases the amount of interest paid over the lifetime of the loan

Kevin is making 8 centerpieces for a party. In each centerpiece, of an ounce of flower food is used. How many ounces of flower food are used in the 8 centerpieces?

Answers

8 ounces of flower food.

Write inequalities to represent the situations below.
1.
At the airport, each piece of luggage to be checked in must not weigh more than 40 pounds.
Use w to represent the weight (in ponds) of a piece of luggage that can be checked in.



2. The distance to the nearest exit door is at most 200 ft.
Use d to represent the distance (in feet) to the nearest exit door

Answers

The Answer is w>50 be a it’s right

The weather forecast says there is a `75\%` chance it will rain

Answers

25% chance it won’t rain.

which expression shows the raltinship between 1 and 2 and 6 and 3

Answers

Step-by-step explanation:

THREE SOLUTION TO PROVE ITS FALSE

1:2

Multiply by 3 on each side

1*3 : 2*3 = 3:6

This is not the same as 6:3

3 apple:6 bananas is not the same as 6 apples: 3 bananas

1:2 is equivalent to 6:12 not 6:3

because 1x6=6 2×6=12 =6:12

3)

however when we solve mathematically

1/2=6/3

1/2=2

The sides are not equa so its false

How do you add negative numbers with positives

Answers

when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words

examples:- First

[tex]5 + ( - 2) = 5 - 2 = 3[/tex]

like here we put + in front of 3 as larger number 5 is positive

second

[tex] - 7 + 5 = - 2[/tex]

we put negative because 7 is larger then 5 and 7 is negative

This composite figure is made up of three simpler shapes. What is the area of
the figure? PLEASEE I NEED HELP

Answers

Answer:

D.94 square centimeters

Step-by-step explanation:

(10×4) + (8×6) + (1/2×6×2)

= 94 cm^2

Answer:

D. 94 square centimeters

Step-by-step explanation:

It mentions the composite figure is made up of three simpler shapes.

Area (figure) = Area (parallelogram) + Area (rectangle) + Area (triangle)

10 x 4 + 8 x 6 + 1/2 x 6 x 240 + 48 + 688 + 694 square centimeters

if there were 1580 people who participated in the survey then how many people said they had 4 members in their family?

Answers

Answer:

632

Step-by-step explanation:

1580*0.4=632

A total of 337 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

The total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the number of adult tickets is x

So the number of student tickets is (x-73)

x + (x-73) = 337

2x—73 = 337

2x = 410

x = 205 tickets

Thus, the total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.

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Find the volume of a cone with a base diameter of 9 in and a height of 7 in.

Answers

Step-by-step explanation:

Formula:

[tex]v = \pi \:r {}^{2} \:h[/tex]

radius is 4.5 because 9÷2=4.5

so it would be

[tex]v = \pi \times \:4.5^{2} \times 7[/tex]

volume = 445.3 units³

How do I solve for 4h=57.6


Pls explain bc I don’t understand Does h = 14.4

Answers

Answer:

h = 14.4

Step-by-step explanation:

4h=57.6

Divide each side by 4

4h/4 = 57.6/4

h = 14.4

Answer:

See explanation

Step-by-step explanation:

Always divide the constant by itself and the value it equals.

1) Divide both sides by 4.

[tex]h=\frac{57.6}{4}[/tex]

2) Simplify [tex]\frac{57.6}{4}[/tex] to [tex]14.4[/tex].

h = 14.4

To check our answer,

4h = 57.6

1) Let h = 14.4

4 * 14.4 = 57.6

2) Simplify 4 × 14.4 to 57.6.

57.6 = 57.6

A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spun. Each outcome is equally likely. The game costs $5 to play. The number of dollars you win is the square of the number that comes up on the spinner. Ex: If the spinner comes up 3, you win $9. Let N be a random variable that corresponds to your net winnings in dollars. What is the expected value of N

Answers

The expected value of N will be given as:- Money =  N² -  5.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given in the question that:-

A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spunThe game costs $5 to play.The number of dollars you win is the square of the number that comes up on the spinner.If the spinner comes up 3, you win $9.

So from the given information, the expression will be:-

N be a random variable that corresponds to your net winnings in dollars.

Money =  N² -  5.

From the above equation, we can calculate the amount earned by the spinner number that comes.

Therefore the expected value of N will be given as:- Money =  N² -  5.

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please help i dont understand how to find c i know about theorems but

Answers

Ok so firstly, you need to remember that when a radius is touching a tangent, the angle is always equal to 90°. So x + 57° = 90°. That means your angle is 33°. You have drawn a right angle which is correct so the left triangle's angle is 90° - 33° = 57°. Now because both sides of the triangle is radius, that means c and 57° are equal. That means c = 57°.

Answer:

c = 57 degrees.

Step-by-step explanation:

This is the Alternate Segment theorem:

The angle between a chord of a circle and a tangent to the circle = the angle subtended by the chord in the alternate segment.

So c = 57 degrees.

Select the correct answer. The graph below shows the height of a seat on a Ferris wheel as the Ferris wheel goes through its rotation. The function describing this graph is a transformation of the parent sine function, y=sin(x). Which value best describes the maximum of the transformed function?

Answers

Answer:

105 feet

Step-by-step explanation:

Got it right

Answer:

105

Step-by-step explanation:

correct

Suppose that $f(x)$ and $g(x)$ are functions on $\mathbb{r}$ such that the range of $f$ is $[-5,3]$, and the range of $g$ is $[-2,1]$. the range of $f(x) \cdot g(x)$ is $[a,b]$. what is the largest possible value of $b$

Answers

The largest possible value of b is 10, since for some x = x₀ it could be the case that f(x₀) = -5 and g(x₀) = -2; then f(x₀) g(x₀) = -5 × -2 = 10.

A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I. What is P(not A)? 89 23 13 19

Answers

Answer:

P(not A) = 8/9

Step-by-step explanation:

To write a simple probability, write a fraction. The bottom is all the possibilities, here there are 9. So put a 9 on the bottom. Then on top write how many ways the event can happen. There are 8 ways you can land on "Not A" (that is: B, C, D, E, F, G, H, I) So 8 goes on top. Simplify if possible. 8/9 cannot be simplified.

P(not A) = 8/9

As per the probability of an event, the value of P(not A) is 8/9.

What is the probability of an event?

The probability of an event is the chance of happening that particular event.

Given, total number of events in the sample space = 9.

Number of favorable events in that sample space is = 1.

Therefore, the probability P(A) = 1/9.

Now,  P(not A)

= 1 - P(A)

= 1 - 1/9

= 8/9

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Angle Side Relationship 1/5
Will mark brainlist to whoever answers first

Answers

Answer:

m<A > m<B > m<C

Step-by-step explanation:

In triangles, the measure of angles is proportional with the side length's they see,

The angle with the biggest the biggest measure sees the biggest side length

in triangle ABC the side lengths are given as

BC = 14, CA = 13 and AB = 5

from this, we can conclude:

m<A > m<B > m<C

100 members in a band, 12 members play the flute. What percentage of the band plays the flute?

Answers

% that plays flute - 12/100x100 = 12%
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