The sum of an AP is 549. Given that the common difference is 3,find
i. The 56th term
ii. The sum of its 32 terms​

Answers

Answer 1

Step-by-step explanation:

[tex]\red\star[/tex]Given

[tex]\blue\star[/tex]sn = 549

[tex]\blue\star[/tex] d = 3

[tex]\star[/tex]Find

[tex]\blue\star[/tex]56th term of Ap

[tex]\blue\star[/tex]the sum of 32 tem


Related Questions

PLEASE GIVE A GOOD EXPLANATION FOR A FREE BRAINLIEST: 26.8 + 0.65 - 0.028 =

Answers

[tex]\boxed{27.422}[/tex]

We will use order of operations to add and subtract from left to right to solve this equation.

26.8 + 0.65 = 27.45

The equation now looks like:

27.45 - 0.028 = 27.422

Therefore, your answer is 27.422.

Answer:

ok so

  26.8

+   0.65

----------------

  27.45

-    0.028

----------------

27.422

Step-by-step explanation:

uhh just math

What is the value of x: -7x = -2x + 15​

Answers

Answer:

-3

Step-by-step explanation:

-7x=-2x+15

collect like terms

-7x+2x=15

-5x=15

divide both sides by -5

x=15/-5

x=-3

X= -3
Explanation: add 2x to both sides of equation. -7x+2x = -2x+15+2x which ends up equaling -5x=15 then divide both sides by -5. -5x=15 |
-5 -5 | which gets you -3 after dividing

The parabola y=x^2 is shifted down 2 units and is reflected. What is the new parabola?

Answers

Answer:

y = x² - 2

Step-by-step explanation:

Quadratic Parent Function: y = a(bx + h)² + k

k = vertical movement up/down

Since we are only dealing with a vertical shift down, we are only modifying variable k

k = -2

y = x²

y = x² - 2

needing help!!!! pls help

Answers

Answer:

110 = z

Step-by-step explanation:

Since these figures are similar, the angles have to be the same measure

<A =< E

<B = < F

<C = <G

<D = <H

110 = z

An item is on sale for $100. If it was discounted by 20%, what was the original selling price?

Answers

Answer: The original price was  $125

Step-by-step explanation:

If an item is on sale for $100 and it was discounted by 20%  then we could set up an equation and solve for the original price.

Remember if there were 20% discount then 80% of the price will be left.

80% * x = 100    

0.8x =100

x = 125

Step-by-step explanation:

We have :

• Selling Price = $100

• discount = 20%

As we know

• Selling Price = Cost - Discount

Now we have

• Discount = 20%

Let cost be x

→ Selling Price = x - 20% of x

→ selling price = 80% of x

→ 80% of x = 100

→ 80/100 x = 100

→ x = 100 × 100 / 80

→ x = $ 125

classify the following numbers as rational or irrational. √23​

Answers

Answer:

Irrational

Step-by-step explanation:

Unless a radical solves out to be a whole number, rads are irrational.

Answer:

√23 is an Irrational Number

Step-by-step explanation:

√23 = 4.79 is not a pefect square so its an irrational number

Little Johnny is fleeing from a horde of zombies. He is 4000 feet from a safe zone where a gate will be closed in 3 minutes. If Johnny is running at a rate of 22 mph, will he be able to reach the safe zone before the gate is closed? Yes or No? Explain BRIEFLY.

Answers

Answer:

Johnny will be able to reach the safe zone before the gate is closed.

Step-by-step explanation:

Given that:

Distance of Little Johnny from safe zone = 4000 feet

Time = 3 minutes

Speed = 22 mph

To find:

Will Johnny be able to reach the safe zone ?

Solution:

Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.

Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.

Let us have a look at the formula of distance traveled:

[tex]Distance = Speed \times Time[/tex]

Time = 3 minutes = [tex]\frac{3}{60}[/tex] hrs

Speed = 22 mph

[tex]Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles[/tex]

We know that 1 mile = 5280 feet

Therefore 1.1 miles = 5280 [tex]\times[/tex] 1.1 feet = 5808 feet

Distance traveled by Little Johnny is greater than 4000 feet.

Therefore Johnny will be able to reach the safe zone before the gate is closed.

perform the indicated operation. (4+12i)+(-9-8i)​

Answers

Answer:

4 i - 5

Step-by-step explanation:

Simplify the following:

4 + 12 i - 9 - 8 i

Hint: | Evaluate 4 + 12 i - 9 - 8 i.

4 + 12 i - 9 - 8 i = (12 i - 8 i) + (4 - 9) = -5 + 4 i:

Answer:  4 i - 5

I’m pretty sure the answer is 4i - 5

What is the length of a rectangle with width 20 in, and area 172 in2

Answers

Answer:

8.6 inches (Rounded: 9 inches)

Step by Step:

1). w x l = A

2). 20 x l = 172

3). 172/20

4). 8.6

f (x) =2x-3 find f (1)

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 1 }}}}}[/tex]

Step-by-step explanation:

Given, f( x ) = 2x - 3

Here, we assume the value of x as 1

Now, Finding f ( 1 )

[tex] \sf{f(1) = 2 \times 1 - 3}[/tex]

Multiply the numbers : 2 and 1

⇒[tex] \sf{f(1) = 2 - 3}[/tex]

Subtract the numbers : 3 from 2

⇒[tex] \sf{f(1) = - 1}[/tex]

Hope I helped!

Best regards!!

Answer: f = -6

Step-by-step explanation:

Remove parentheses

f= -2*3

f= -6

To undo multiplication, you
A.divide
B.mulitpy
C. add
D. subtract

Answers

Answer:

A

Step-by-step explanation:

It’s the opposite

Answer: In order to undo multiplication you must divide. For fractions multiply the reciprocal to get it to the other side in an equation.

Step-by-step explanation:

So it is given that we have to do the opposite operation of multiplication, so that is division. In an equation, if we have a fraction, then we multiply the reciprocal of the fraction to get it to the other side.

Hence, your answer.

Beverly Hibbs earns $683.00 a week. She is single and claims 2 allowances. What amount is withheld weekly for federal income tax

Answers

Answer:

$18 per week

Explanation:

google

The amount that is withheld weekly for federal income tax is $52.25

Federal Insurance Contribution Act is the legal organization used in the United States which contain the rules and regulations applied for calculating payroll taxes on the paychecks of the employee. The tax process is contributed by both the employees as well as the employers for funding the social security and Medicare programs.

The rate of federal tax withheld for the weekly paycheck is:

= 6.2% of social security + 1.45% for medicare

= 7.65% of the gross weekly pay.

If Beverly Hibbs earns $683.00 a week, the amount withheld weekly by the Federal income tax is:

= 0.0765 × 683

= $52.25

Learn more about federal income tax here:

https://brainly.com/question/17092810?referrer=searchResults

Solve the equation for x. Enter your answers as radical expressions. Then estimate to one decimal place, if
necessary.

X^2 = 5

Answers

Answer:

The answer is

[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]

Step-by-step explanation:

x² - 5 = 0

Using the quadratic formula

That's

[tex] x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Solve the equation

From the question

a = 1 , b = 0 , c = 5

So we have

[tex]x = \frac{ - - 0\pm \sqrt{ {0}^{2} - 4(1)( - 5)} }{2(1)} \\ x = \frac{\pm \sqrt{20} }{2} \\ x = \frac{\pm2 \sqrt{5} }{2} \\ x = \pm \sqrt{5} \: \: \: [/tex]

We have the final answer as

[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]

Hope this helps you

I’ve tried for so long and I don’t know any of these please help I need answers

Answers

Answer:

Step-by-step explanation:

write an equation for each line :

m = -4 and the y-intercept is 3

Answers

Answer:

y = -4x + 3

Step-by-step explanation:

m = slop

b = y-int

y = mx + b

Which number is not the square of a whole number?
100
400
80

Answers

Answer:

it should be 80

Step-by-step explanation:

100 squared is 10

400 squared is 20

80 does not have an exact answer 8.944 so it is 80

is -55.505 a rational number?

Answers

Answer:

yes

Step-by-step explanation:

Any number that can be written in p/q from is a rational number


What is the domain of g?

Answers

Answer:

x≥ -3

Step-by-step explanation:

The domain is the values that x can take

g(x) = sqrt( x+3)

This must be greater than or equal to zero

x+3  must be greater than or equal to zero

x must be greater than or equal to -3

x≥ -3

is 1,600 1 tenth of 16,000

Answers

Answer:

true

Step-by-step explanation:

16,000 / 10 = 1,600

¿Por que 10/25 es equivalente a 2/5?

Answers

Answer:

because if u divide the top and bottom by 5, you'll get 2/5

Step-by-step explanation:

Answer: Porque dividir ambos por 5 y eso es lo más bajo que pueden ir

Step-by-step explanation:

10 / 5 = 2

25 / 5 = 5

Solve the proportion. I will give brainliest.
2/7=r/4

Answers

Answer:

Cross multiply:

2 * 4 = 7 * r

Simplifying

2 * 4 = 7 * r

Multiply 2 * 4

8 = 7 * r

Solving

8 = 7r

Hope this helps.

20) Round each number to the nearest hundreds place.
a) 345.983
b) 1283.75
c) 9980.32
d) 1111.111
e) 689.4

Answers

Answer:

Step-by-step explanation:

X X X X . X X X

   ^ this is the hundreds place

X X X X . X X X

                   ^ this is the hundredths place

a) 300 Because the place behind it is less than 5.

b) 1300 The place in the tens is 5 or greater.

c) 10,000 The place in the tens is 5 or greater which causes the 9 in the hundreds to go up which also causes the 9 in the thousands to go up as well.

d) 1,100

e) 700

cos²45+Sin²60 + sin^2 30​

Answers

Step-by-step explanation:

[tex] { \cos}^{2} 45 \degree + { \sin}^{2} 60 + { \sin}^{2} 30 \degree \\ = \bigg( \frac{1}{ \sqrt{2} } \bigg)^{2} + \bigg( \frac{ \sqrt{3} }{ 2} \bigg)^{2} + \bigg( \frac{1}{2} \bigg)^{2} \\ \\ = \frac{1}{2} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2}{4} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2 + 3 + 1}{4} \\ \\ = \frac{6}{4} \\ \\ = \frac{3}{2} \\ \\ = 1 \frac{1}{2} \\ [/tex]

A car rental agency charges a fee of $35 per day plus $.20 for each mile driven. How much will it cost to rent the car for 4 days and drive 730 miles? Your answer should include a $ and two decimal places, in the format $10.00

Answers

Answer:

$271.00. Remember to put it in the right format

Step-by-step explanation:

So since its 35 dollars per day, we can first do 35*4 to get 140. So just for having the car, it costs 125 dollars.

Now to find the amount of money for the miles, we can do 730*0.20=146

Now we add those two amounts so we do 125+146=271.

So $271.00

Solve the equation below for x.
сх — 4 = 7

Answers

Answer:

x = 11/c

Step-by-step explanation:

To solve this equation for x, we simply need to apply equation operations and isolate the x variable.

cx - 4 = 7

cx - 4 + 4 = 7 + 4

cx = 7 + 4

cx = 11

cx * (1/c) = 11 * (1/c)

x = 11 * (1/c)

x = 11/c

Cheers.

Cx - 4 = 7
Cx = 7 + 4
Cx = 11
X = 11/c
Hope it helps :)

Determine if the survey question is biased. If the question is​ biased, suggest a better wording. Why is eating carrots good for​ you?

Answers

It is biased. In the question itself it says that carrots are good for your which makes the reader think of only the good attributes of carrots. So instead say
Are you carrots good or bad for you? Why or why not?

Multiply (3x)(x2 + 4x - 15).

(3 x3 + 12 x2 - 45 )
3 x + 12 x - 45 x3)
(4 x3 + 3 x + 12 x2 - 15 )
(3 x4 + 12 x3 - 45 )

Answers

Answer:

3x^3 + 12x^2 - 45x

Step-by-step explanation:

Multiply 3x with x^2 then 4x and then -15 in order

3x × x^2 = 3x^3

3x × 4x = 12x^2

3x × (-15) = -45x now add the expressions

3x^3 + 12x^2 - 45x

after paying income 5% a man has Rs 7600 left. what is his income?​

Answers

Answer:

His income was 8000 rupees

Step-by-step explanation:

We must find his income so let that be x

We take 100%-5% = 95%

Turn this 95% into a decimal which is 0.95

So:

x * 0.95 = 7600

Rearrange this to give x:

x = 7600/0.95

x = 8000 rupees

The man's income is Rs. 8000. He has been left with 95 percent of his income = Rs. 7600.

What are percentages?

Percentages are fractional values where the total amount is taken as 100.

25% of a quantity means 25/100 of that quantity.

How to solve the given question?

In the question, we are informed that after paying 5% of income, a man is left with Rs. 7600.
We are asked to find his income.


We are given that a man pays 5% of his income, so he will be left with (100-5)% = 95% of his income as percentages are taken over a total of 100.

We assume the man's total income to be Rs. Y.

∴ We can say that the man is left with 95% of Y.

We know the man is left with Rs. 7600. So we can write this case as:

95% of Y = 7600

or, 95/100 of Y = 7600

or, (95/100)*Y = 7600

or, Y = (7600*100)/95 = 760000/95 = 40000/5 = 8000.

∴ The man's income is Rs. 8000. He has been left with 95 percent of his income = Rs. 7600.

Learn more about percentages at

https://brainly.com/question/843074

#SPJ2

Susan charges $8 per hour walking her neighbor’s dog. She charges $12 per hour babysitting. Part A: Define the variables. Part B: Write an expression to represent the amount Susan earns dog walking and babysitting

Answers

Answer:

Part A: The variables are the amount charged per hour dog walking and the amount charged per hour babysitting.

Part B: y=8d+12b

Step-by-step explanation:

(7y2 - 3y)-(4y2 + 2y- 2)

Answers

Answer:

Step-by-step explanation:

7y^2 - 3y - 4y^2 -2y + 2

3y^2 - 5y + 2

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