the 3rd and the 4th terms of an arithmetic progression are 6and30 respectively determine the common term,first term and the 10th term

​

Answer:

512.4274 miles

Step-by-step explanation:

500m + 20k = distance

1 kilometer = 0.621371 miles

20k = 12.4274

500 + 12.4274 = 512.4274 miles

Answer:

It will have to be 7.5 inches.

Step-by-step explanation:

120 divided by 16 is 7.5 inches.

Answer:

Hey there!

A=LW

120=L16

L=7.5 in

Let me know if this helps :)

Hello There!!~

The units of per hours is = 4.5

Explanation:

Unit rate in miles per hour is the ratio of total distance covered in miles to total time taken in hour to cover that distance.

L = 3/4

Time taken to cover the loop on monday:-

T = 1/6 hours.

Unit rate in miles per hour :-

V = L/T

=> 3/4 ,1/6 =18/4

18/4 = 4 5

Hope This Helps!! :)

By °~Itsbrazts°~

Answer:

New radius(r) = 3.65 (Approx)

Step-by-step explanation:

Given:

Radius of sphere(R) = 8

Find:

New radius(r)

Computation:

Volume of sphere = (4/3)πR³

Volume of sphere = (4/3)π(6)³

Volume of sphere = 288π

Volume of ring = (4/3)π(R²-r²)³/²

Half volume of sphere = Volume of ring

288π / 2 = (4/3)π(R²-r²)³/²

144 = (4/3)(6²-r²)³/²

108 = (6²-r²)³/²

New radius(r) = 3.65 (Approx)

Answer:

D

Step-by-step explanation:

We would like to solve:

(3/4h + 4) - (1/2h + 1)

This is equivalent to:

3/4h + 4 - 1/2h - 1

First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:

3/4h - 1/2h + 4 - 1

The common denominator for 3/4 and 1/2 is 4, so:

3/4h - 1/2h = 3/4h - 2/4h = 1/4h

Put this back in:

1/4h + 4 - 1

1/4h + 3

The answer is thus D.

~ an aesthetics love

Answer:

Step-by-step explanation:

Given:

height of pole = 50 ft

angle of depression = 75°

to find:

how much wire is used

Solution:

Let x be the wire used

sin 75° = 50/x

x = 50/sin 75°

  = 50 / 0.9659

  = 51.765

x = 51.8 ft

Answer:

41

Step-by-step explanation:

5 + (-6)^2

=> 5 + 36

=> 41

Answer:

Step-by-step explanation:

5-2(2x - 3) = 12

Expanda los términos en el corchete

Eso es

5 - 4x + 6 = 12

Agrupar términos similares

Envíe las constantes al lado derecho de la ecuación y aquellas con variables al lado izquierdo

Tenemos

- 4x = 12 - 5 - 6

- 4x = 1

Divide ambos lados entre - 4

Tenemos la respuesta final como

Espero que esto te ayude

Answer:

No

Step-by-step explanation:

Because of the y^2, each value of x will be represented twice on the y-axis. Henceforth, the vertical line will pass through this line twice. THIS IS NOT A FUNCTION. ... It passes the vertical test for function.

Answer: The  length of a rectangle is 5 more than two times the width. If the width of the rectangle  is represent by x  then what is the area of the rectangle?  

Step-by-step explanation:

Answer: 3 feet

Step-by-step explanation: The area of a rectangular garden can be represented by the function

f(x) = x(2x + 5)

Find the area if the length, x, is 3 feet.

Answer:

Rs. 112000

Step-by-step explanation:

Hari is due to pay after 3 years:

He pays Rs. 70700, remaining money is cleared by giving buffalo.

Cost of buffalo:

Answer is: Rs. 112000

Answer:

Solution,

principal(P)= Rs. 126000

Rate(R)=15%

Time(T)=3 years

Money paid=Rs.70700

Cost of buffalo=?

We know that,

                          Interest=P*T*R

                                           100

                                       = Rs. 126000*3*15

                                                         100

                                       = Rs. 56700

Now,

         Amount(A)=P+I

                           =Rs. ( 56700+126000)

                           = Rs.182700

Again,

          by the question,

                                    Cost of buffalo= Amount- Money paid

                                                             = Rs.(182700- 70700)

                                                              = Rs. 112000

Therefore, the cost of buffalo is Rs. 112000.

Answer:

[tex]14y^{2} -64y[/tex]

Step-by-step explanation:

Hello!

4y(5y - 11)

Distribute the 4y

4y * 5y = 20y^2

4y * -11 = -44y

Put it together

20y^2 - 44y

2y(3y + 10)

Distribute the -2y

-2y * 3y = -6y^2

-2y * 10 = -20y

Put it gether

-6y^2 - 20y

Put it all together

20y^2 - 44y - 6y^2 - 20y

Combine like terms

14y^2 - 64y

The answer is [tex]14y^{2} -64y[/tex]

Hope this helps!

Answer:

See explanation below

Step-by-step explanation:

(a) The spread of the data is represented by their range,

Adam's Range : 106 - 91 = 15

Miguel's Range : 105 - 86 = 19

As Miguel's Range is greater, his data has the greater spread

(b) The middle 50 percent of both data sets would be the following,

Adam | 103 | 105 | 104 | 106 | 100

Miguel | 88 | 86 | 89 | 93 | 105

And their 50% range would be ...

Adam's 50% Range : 106 - 100 = 6,

Miguel's 50% Range : 105 - 86 = 19

Adam still has the least spread, even in the middle 50%

(c) This proves that their is a small variance in Adam's training times, but a large variance in Miguel's training times (Miguel's data is more likely skewed).

Answer:

he is talented

Step-by-step explanation:

Answer:

i. Term = [tex]\frac{b_{1}h }{2}[/tex] + [tex]\frac{b_{2}h }{2}[/tex]

ii. Coefficient = [tex]\frac{1}{2}[/tex]

iii. Constant = [tex]\frac{1}{2}[/tex]

iv. Factor = [tex]\frac{h}{2}[/tex]

Step-by-step explanation:

A trapezoid is a quadrilateral which has its base parallel to the opposite side. It's area can be determined by;

Area of trapezium = [tex]\frac{1}{2}[/tex] ([tex]b_{1}[/tex] + [tex]b_{2}[/tex])h

Where [tex]b_{1}[/tex] is the measure of length of its fist base,  [tex]b_{2}[/tex] is the measure of its second base and h is its height.

Considering the given question,

Term = [tex]\frac{b_{1}h }{2}[/tex] + [tex]\frac{b_{2}h }{2}[/tex]

Coefficient = [tex]\frac{1}{2}[/tex]

Constant = [tex]\frac{1}{2}[/tex]

Factor = [tex]\frac{h}{2}[/tex]

Answer:

Hey there!

1 gallon of gas is equal to 18 miles of road.

15 gallons of gas is equal to 18(15) miles, or 270 miles of road.

Let me know if this helps :)

Answer:

D) because if you take 18 times 15 you would get 270

Step-by-step explanation:

Stay safe, positive, and healthy C:

Have a wonderful morning c:

Answer:

You will only be able to buy two at the original price the following day.

Step-by-step explanation:

You spend $30.40 on 4 CDs. Each CD costs the same amount and is on sale for 80% of the original price.

If x = original cost of one CD

80% of one CD = 0.8x

0.8x = the price you pay for one discounted CD

You buy 4 of the discounted CDs for $30.40

4(0.8x) = 30.40

solve for x, the original cost of one CD

3.2x = 30.40

x = 9.50

The next day, the CDs are no longer one sale. You have $25. Will you be able to buy 3 more CDs?

25$ / $9.50 = 2.63 CDs

Answer:

Total lost yards = 10 yards  

Step-by-step explanation:

Given:

First match = lost 3 yards

Second match = lost 5 yards

Third match = lost 2 yards

Find:

Total lost yards

Computation:

Total lost yards = First match + Second match + Third match

Total lost yards = 3 yards + 5 yards + 2 yards

Total lost yards = 10 yards  

Answer:

Read Exp:

Step-by-step explanation:

9.) (-6)^2

10.) 10^3

11.) (2/3)^6

Answer:

see below

Step-by-step explanation:

( -6) * (-6)

The base is -6.  It is multiplied 2 times so the exponent is 2

(-6)^2

10*10*10

The base is 10 It is multiplied 3 times so the exponent is 3

10 ^3

2/3 * 2/3 * 2/3 * 2/3 *2/3 *2/3

The base is 2/3.  It is multiplied 6 times so the exponent is 6

(2/3) ^6

Answer:

3/8

Step-by-step explanation:

There are 8 boxes and 3 shaded columns

[tex]\frac{3}{4}\times \frac{1}{2} \\\\=\frac{3\times \:1}{4\times \:2}\\\\=\frac{3}{4\times \:2}\\\\=\frac{3}{8}[/tex]

Answer:

Hey there!

The correct answer is 1/2(3/4)=3/8

Hope this helps :)

Answer:

a. 8

b. 61, 23, 84

Step-by-step explanation:

As we can see, point S is between points R and T, therefore:

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

Subtract original amount from new amount:

84 - 39 = 45

He bought 45 books.

Answer:

  4

Step-by-step explanation:

The real part of a complex number is the part that does not have "i" as a factor.

Here, the real part is 4.

Answer:

See explanation

Step-by-step explanation:

The number that would not belong is [tex]\sqrt{48}[/tex] since it is irrational

Answer:

[tex]\sqrt{48}[/tex]

Step-by-step explanation:

Looking at the numbers, we can see that the first number, third, and fourth number are all rational numbers since they either repeat or terminate.

On the other hand, let's try and simplify the square root of 48:

[tex]\sqrt{48}=\sqrt{16\cdot3}=\sqrt{16}\cdot\sqrt3=4\sqrt3[/tex]

The square root of 3 is irrational. Therefore, 4 times the square root of 3 is also irrational. All of the given numbers are rational instead of the second one. So, the second number does not belong .

Answer:

Step-by-step explanation:

[tex]1a - 3a \\ = - 2a[/tex]

Answer:

  x = 28/(3y -15)

Step-by-step explanation:

Put the x-terms on the same side of the equal sign and everything else on the other side. Divide by the coefficient of x.

  3xy -28 = 15x . . . . . . given

  -28 = 15x -3xy . . . . . subtract 3xy

  -28 = x(15 -3y) . . . . . factor out x

  -28/(15 -3y) = x . . . . . . divide by the coefficient of x

We prefer to have a positive sign where possible, so we can multiply this by -1/-1 to get ...

  x = 28/(3y -15)

Answer:

Option (C) : 3

Step-by-step explanation:

Circumference of front tire = Circumference of back tire

[tex]3(2\pi\: r) = 2\pi \R[/tex]

[tex] \R = 3r[/tex]

Answer:

28 = x

Step-by-step explanation:

62 =  angle BAC  since they are vertical angles

angle ABC is a right angle since KL is perpendicular to FG

Adding the angles in triangle ABC

BAC + ABC + BCA = 180

62 + 90 + BCA = 180

152 + BCA = 180

BCA = 180-152

BCA = 28

BCA = x since they are vertical angles

28 = x