Find the sum of the first 32 terms of the AP : 0.5, 0.75, 1​

Answers

Answer 1

Answer:

[tex]S_{32}[/tex] = 140

Step-by-step explanation:

The sum of n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 0.5 and d = a₂ - a₁ = 0.75 - 0.5 = 0.25 , then

[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 0.5) + (31 × 0.25) ]

     = 16(1 + 7.75)

     = 16 × 8.75

     = 140


Related Questions

Can someone please give me examples of linear, quadratic, Absolute value, square root, cubic, cube root, exponential, logarithmic, and rational function (parent function) equations to help my friend? Please and thank you. I'll give brainliest to the first person who does all of them and get them right.

Answers

Answer:

Step-by-step explanation:

Consider the cube root parent function.

( graph in photo below )

Complete the statements to make them true.

A cube root function will ( 1 ) ________ have an x-intercept and ( 2 ) ________ have a y-intercept.

For the parent cube root function, ( 3 ) ____________ located at .

Answer:

1. always

2. always

3. both intercepts are

the explination photos below

Answer:

I got you

[tex]f(x)=3x+2[/tex]

[tex]f(x)=4x^2+3x+7[/tex]

[tex]f(x)=|x+4|[/tex]

[tex]f(x)=\sqrt{x+12}[/tex]

[tex]f(x)=6x^3+4x^2-3x-5[/tex]

[tex]f(x)=\sqrt[3]{3x-5}[/tex]

[tex]f(x)=2^x[/tex]

[tex]f(x)=log_3(x)[/tex]

[tex]f(x)=\frac{x+5}{x-3}[/tex]

Each function is respective to the order of the list given.

Let me know if you want the graphs

Find the perimeter. Simplify your answer.

Answers

Answer:

3z+13

Step-by-step explanation:

Perimeter is found by adding all the sides

z+2+z+2+z+9

3 z variables  2+2+9=13

Simplified equals

3z+13

Hope this helps!

Please mark this answer as brainiest :)

Round 14.63486 to 3 decimal place

Answers

Answer:

15 would be the rounded up number.

14.635
You wanna look at the 4th number after the decimal which is 8 meaning the third number will round up from 4 to 5

Help last day !!!!!!!!!!!!!!!

Answers

Answer:

The equation of the lines with the given point does not have a y-intercept of 4 but has a y-intercept of -4.

Step-by-step explanation:

y-intercept is 4

addition ordered pairs on the line are (2, -2), (4, 0), (6, 2), (8, 4)

Find the slope using two of the points: (2, -2), (4, 0).

Slope = (change in the y values)/(change in the x values0

Slope = [0 -(-2)]/ (4 - 2) =   2/ 2 = 1

Checking to see if the y-intercept is 4 substituting  slope (m) = 1 and (2, - 2)

      y = mx + b

     -2 = 1(2) + b

     -2 = 2 + b

  -2 - 2 = b

    -4 = b   so we know that the y-intercept is not 4 but it is -4.

Now write the equation of the line using a slope = 1 and y-intercept of -4

y = mx + b

y = x - 4

Next check the other points into the equation of the line to see if the equation is correct.

x = 2   did y = -2 ?    y = x - 4;   y = 2 - 4 ; y = -2     point (2, -2) works.

x  = 4   did y = 0?     y = x - 4;  y = 4 - 4;  y = 0       point (4,0)  works.

x = 6    did y = 2?     y = x - 4;  y = 6 - 4; y = 2         point (6, 2) works.

x = 8     did y = 4?     y = x - 4; y = 8 - 4;  y = 4        point (8, 4) works.

I scared of exam how do i do

Answers

Answer:

.

Step-by-step explanation:



with complete solution please I need Thanks​

Answers

Answer:

14

Step-by-step explanation:

We can make this and equation

x • y = 1260

x = 3y +48

Our equation is

(3y +48)y = 1260

We get y = 14

1/6 to 4/7 what is the ratio? Pls hurry!

Answers

Answer:

7:24

Step-by-step explanation:

Find the common denominator for both fractions: 42

1/6 x 7/7 = 7/42

4/7 x 6/6 = 24/42

7:24

Plz Help!!! Fast!!
A statue is made of gold and silver in the ratio of 2:5. If the weight of the silver in the statue is 140 pounds, what is the weight of the gold?
Show all work!

Answers

Answer:

if the gold in this ratio is the 2 out of the 2:5 then the answer is 56 but if its the 5 then its 350

Step-by-step explanation:

The weight of gold is 56

Step-by-step explanation:

gold= 2

sliver = 5

weight of gold = x

weight of silver = 140

2/5 = x/140 solve for x

280=5x

x=280/5

x= 56

plz help need asap .............

Answers

I don’t know

BUT why did someone answer and say, “Sike sorry I don’t know.”?

Find the total surface area in square units of the figure below by creating a net.

Answers

So , start if by 5x10 = 50 50x3= 150
That’s the area for our rectangles
Then 8x6=48 this is normally divided in half but since there are 2 triangles it can just remain that way , so 150+48=198 I think I’m correct


What is 48,956 rounded to the nearest ten thousand?

Answers

Answer:

50,000

Step-by-step explanation:

THE ANSWER IS 50,000

Please help me find the answer, and show me how you got it too!
39 ft/min= _yds/s

Answers

Answer:0.216667

Step-by-step explanation: I figured out how many ft r in a yard the how many seconds r in a mi then went from there.

The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?

A graph titled Brenda's Monthly Cell Phone Bill has hours used on the x-axis and cell phone bill (dollars) on the y-axis. Points plotted are (1, 27), (2, 39), and (3, 51).

Answers

Answer: Well all you have to do Is find the Rise over run.

Step-by-step explanation:

Then you will have your answer :)

Answer:

Step-by-step explanation:

12

Which of the following are not polynomials?

Answers

Answer:

A C and D are not polynomial

Evaluate the formula z=
x−μ
σ
n when μ=119​, n=29​, x=116​, and σ=9.

Answers

Answer:  -1.795

Work Shown:

[tex]z = \frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\\\\z = \frac{116-119}{\frac{9}{\sqrt{29}}}\\\\z \approx \frac{-3}{\frac{9}{5.3851648}}\\\\z \approx \frac{-3}{1.671258}\\\\z \approx -1.795055\\\\z \approx -1.795\\\\[/tex]

3x=15 question answer

Answers

Answer:

x=5

Step-by-step explanation:

To solve for the value of x, you have to get x by itself.  So to get rid of the 3, divide both sides by 3.  3x/3 leaves x.  15/3 leaves 5.  So you're left with x=5.

The solution of expression 3x = 15 is,

⇒ x = 5

We have to given that,

An expression to simplify,

⇒ 3x = 15

We can simplify the expression for value of x,

⇒ 3x = 15

Divide both side by 3,

⇒ 3x/3 = 15 / 3

⇒ x = 5

Therefore, The solution of expression 3x = 15 is,

⇒ x = 5

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

3. A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.​

Answers

Answer:

Length of floor = 5 m and breadth of floor = 4 m

Area of floor = length x breadth

= 5 m x 4 m = 20 m.sq

Now, Side of square carpet = 3 m

Area of square carpet = side x side = 3 x 3 = 9 m.sq

Area of floor that is not carpeted = 20 m – 9 m = 11 m.sq

Answer:

[tex]11 {m}^{2} [/tex]

Step-by-step explanation:

First Condition:

Given ,

Length of a floor = 5 m

Width of the floor = 4 m

Therefore,

Area of the floor

= l × b

= 5m × 4m

[tex] = 20 {m}^{2} [/tex]

Second Condition:

Given,

Sides of a square carpet = 3 m

Therefore,

Area of the carpet

= s × s

= 3m × 3m

[tex] = {9m}^{2} [/tex]

At last:

Now,

Area of the floor that is not carpeted is

= Area of the floor - Area of the carpet

[tex] = {20m}^{2} - {9m}^{2} [/tex]

[tex] = 11 {m}^{2} (ans)[/tex]

How do you find the positive/negative intervals of f(x) = 3/x + 5?

Answers

        [] The positive interval is where the function is above the x-axis, and the negative interval is where the function is below the x-axis.

        [] To find it, we can graph the function

                    () See attached

        [] When the function is equal to less than 0, it'll be negative, otherwise it is positive

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Please help me out !! Asap

Answers

Answer:

(1,5)

Step-by-step explanation:

y = 4x+1

y = 2x+3

Set the two equations equal

4x+1 = 2x+3

Subtract 2x from each side

4x+1-2x = 2x+3-2x

2x+1 = 3

Subtract 1 from each side

2x+1-1 =3-1

2x=2

Divide by 2

2x/2 =2/2

x =1

Now find y

y =4x+1 = 4(1)+1 =4+1=5

(1,5)

Writing in Math Stacy multiplied 5 x 9 and said the nswer was 44. What two patterns could you use to show nat her answer is not correct?​

Answers

Answer:

5*9= 45

Step-by-step explanation

Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45

Jim has $84,410 in a savings account that earns 15% interest per year. How much will he have in 4 years?​

Answers

I dont know im sad because i dont know

(PLEASE HELP!!)

Use the given figure to complete the statement below.

∠1 and ∠2 are what
angles?

-Congruent
-Similar
-Supplementary
-Complementary

Answers

congruent because 2 is a larger number then one and 1 is a smalled number then 2

Find the angles a, b, c and d.

Answers

The angles are…
A=101
B=79
C=83
D=97

alberto started out bench pressing 40 pounds, he then added 5 pounds every weeks

Answers

What’s the rest of the question?

y=1/4x + 4 input (x) = 4 find (y) output PLEASE HELP

Answers

Answer:

y = 5

Step-by-step explanation:

y = (1/4)x + 4

input (x) = 4

plug in 4 for x

y = (1/4)(4) + 4

y = 1 + 4

y = 5

what are the reasons?

Answers

Answer:

Step-by-step explanation:

1. ∠WVX , ∠YZX are right angled triangles       1.Given

2. WV ≅ YZ                                                          2. Given

3. X is the midpoint of WY                                  3. Given

4. WX ≅ YX                                                          4. definition of midpoint

5. ΔWVX ≅ ΔYZX                                               5. RH congruent



. Find the range of the function y
1/4x +1 if the domain is {-8, -4, 0}.


Answers

The range of a function is the possible output values the function can have.

The range of the function is all real values except 0

The function is given as:

[tex]\mathbf{y = \frac{1}{4x + 1}}[/tex]

When the denominator of the function is 0, the function would not have a real value.

This means that:

[tex]\mathbf{y \ne 0}[/tex]

i.e. the value of y cannot be 0.

Hence, the range of the function is all real values except 0

Read more about domain and range at:

https://brainly.com/question/21853810

Does the following relationship represent a function?

y = 5x

Answers

Answer:

yes because it does not have a exponent

Step-by-step explanation:

the perimeter of a school volleyball courts 177 feet and the length is twice the breath what are the denominations of the volleyball court​

Answers

Answer: L = 59 feet, W = 29.5 feet

Step-by-step explanation:

Let P be the perimeter, L the length, and W the breath [breadth?] of the volleyball court.  We'll assume it is rectangular.

We know that the P of the rectangle is 2L+2W:  

 P = 2L+2W

We also are told that:

 L = 2W

We can use this definition of L in the forst equation:

P = 2L+2W

P = 2*(2W)+2W

P = 6W

P = 177 feet

Therefore 177 ft = 6W, and

W = 29.5 feet

The total for the length is 177 - 2W, or (177 - 59) ft

2L = (177 - 59)

2L = 118

L = 59 feet

For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 miles. You know that you walk .05 miles per minute and jog .1 miles per minute. For how much time were you walking

Answers

Walking for 10 minutes
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