The first and last terms of an AP are 6.7 and
17.1 respectively. If there are 14 terms in the
sequence, find its common difference.​

Answers

Answer 1

Answer:

Last term of a sequence "L" is given by

L= a + (n-1)d

Using Values given

L=17.1

a=6.7

n=14

Substituting

17.1=6.7 + (14-1)d

17.1-6.7=13d

10.4 = 13d

d=10.4/13

d=4/5


Related Questions

Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table below:

Range Number of Values Relative Frequency
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25


What is the relative frequency for the range 11 – 15?

Answers

Answer:

The relative frequency for the range 21-25 is 0.13 approximately.

Step-by-step explanation:

plz do tell me if i need to explaine

The frequency table is made and the Relative frequency for the range 11 – 15 is 0.2 .

What is Frequency ?

Frequency is the number of times any event is occurring .

The data set is given

The frequency table under the given interval is

Interval                       Frequency

1 - 5                                     3

6 - 10                                   1

11 - 15                                   4  

16 -20                                  5  

21 - 25                                 2

Relative frequency is given by = Subgroup Frequency /  (  Total Frequency)

Relative frequency for the range 11 – 15  = 4 / 20 = 1/5 = 0.2

Therefore the frequency table is made and the Relative frequency for the range 11 – 15 is 0.2 .

To know more about Frequency

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if the volume of a cube is 1728cm^3 find its length of its side​

Answers

Answer:

it's a very easy one and it's answer is 1728

Answer:

[tex]12 \: cm[/tex]

Step-by-step explanation:

[tex]Given, volume \: of \: cube  = 1728 {cm}^{3} [/tex]

[tex]Let \: x \: be \: the \: side \: of \: the \: cube.[/tex]

[tex]Volume \: of \: the \: cube  = {x}^{3} [/tex]

[tex] {x}^{3} = 1728 {cm}^{3} [/tex]

[tex]x = \sqrt[3]{1728} [/tex]

[tex]x = 12 \: cm[/tex]

Hope it is helpful....

HELP ME QUICK PLEASE

Answers

Answer:

C

Step-by-step explanation:

as said

What is the answer to this question?

Answers

Answer:

Step-by-step explanation:

a-= 7.2 × 10-8

(scientific notation)

= 7.2e-8

(scientific e notation)

= 72 × 10-9

(engineering notation)

(billionth; prefix nano-(n))

= 0.000000072

(real number)

b-= 6.3 × 10-9

(scientific notation)

= 6.3e-9

(scientific e notation)

= 6.3 × 10-9

(engineering notation)

(billionth; prefix nano- (n))

= 0.0000000063

(real number)

c- = 4.56 × 10-5

(scientific notation)

= 4.56e-5

(scientific e notation)

= 45.6 × 10-6

(engineering notation)

(millionth; prefix micro- (u))

= 0.0000456

(real number)

d- = 7.041 × 10-10

(scientific notation)

= 7.041e-10

(scientific e notation)

= 704.1 × 10-12

(engineering notation)

(trillionth; prefix pico- (p))

= 0.0000000007041

(real number)

help ASAP no links, please. send linek= 1 report

Answers

the number point B is at is -0.8

Answer:

-0.8

Step-by-step explanation:

what is the rate of change ? is y = 6x - 10 a linear or non linear ? explain why ?

Answers

The rate of change is 6.

You can find the rate of change next to the x, in this case 6.

The function is linear because there is a constant rate of change.

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Option A

Step-by-step explanation:

Because the cosine of beta is : cos(B) = BC/AB

NEED HELP! PLS NO LINKS OR FILES! Need it ASAP thank u.

Answers

Answer:

157.079633 cm^3

Step-by-step explanation:

Answer:

157.079633 cm^3

Step-by-step explanation:

Helppp will give brainly ASAP PLEASE

Answers

Answer:

A) 2500(1+0.03)4

Step-by-step explanation:

Explain whether 20/16 is an equivalent ratio to 60/48

Answers

So since 20x3=60 all we have to do is multiply 16 by 3 to find out if it comes out to 48, which in this case it does, so the two ratios are equivalent.

What is 2p + (3q + 2) = (2p + 3q) + 2

Answers

Answer:

associative property of addition

Step-by-step explanation:

2p + (3q + 2) = (2p + 3q) + 2

There are no terms that can be combined since there are no like terms

We are using the associative property to move the parentheses from one  group of terms to the other.

A line segment 20cm long is divided into two parts so that one part is four times as long as the other parts. How long is each part​

Answers

Part 1 is 16cm and Part 2 is 4cm

4 x 4 = 16 this makes part 2 four times as long as part 1
16 + 4 = 20 this makes the whole line segment

find the surface area of the figure. no links please.

Answers

Answer:

190

Step-by-step explanation:

10x5x2=100

5x3x2=30

3x10x2=60

100+30+60=190

What is the greatest number of right angles a triangle can contain?
#
Choice
A.
1
B.
3
C.
0
D.
2
.

Answers

Answer:

A) 1

Step-by-step explanation:

a triangle has 180° and a right angle has 90°

triangles have 3 angles

2 right angles would make up 180° therefore, it can only contain 1 right angle

Answer:

There can be only 1 right angle(90°) so answer A

Step-by-step explanation:

If a triangle is equal to 180 °

And each right angle is equal to 90°

Then there can be 2 or 3 becouse if it was 2 it would be a full 180° but we still need 1 more corner and if it would be 3 right angles then it would be 270 with is way farther then the capability of a triangle.

If a vertical line intersect the graph at more than one point , the graph is a ?

Answers

Answer:

criminal. Because it doesnt follow the vertical line test, where every x values has one y value.

Step-by-step explanation:

PLEASE HURRY!!

What is the vertex of the function f(x)=x^2+12x?

A) (-6, -36)

B) (-6, 0)

C) (6,0)

D) (6, -36)

Answers

Answer:

it's a

Step-by-step explanation:

use desmos, if you can :)

Answer:

it is A) (-6, -36)

Step-by-step explanation:

Will get brainlyest!!!!!!! answer has to be in radical form if irrational

Answers

x = -1.9/2.1

x = -0.9047619048

As the number or the magnitude of x is a terminating decimal number so it is not irrational number its a rational number

Hope it helps

I need Answer Immediately!!!!!!

Answers

Y=-3x-6 that’s the answer

Please help me if you can

Answers

Answer:

1. 1/2(5)(2) = 5 yd squared

2. 1/2(6)(8) = 24 ft squared

3. 1/2(12.4)(18) = 111.6 cm squared

4. 1/2(3.5)(6) = 10.5 m squared


[tex]31.3 \times 9.5[/tex]

Answers

Answer:

297.35

Step-by-step explanation:

[tex]\sf\purple{297.35}[/tex] ✅

Step-by-step explanation:

[tex]31.3 \times 9.5 = 297.35[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

PLEASE HELPP!!!


given sin 0 = 1/2 and 0 < 0 < pi/2, find 0

Answers

Answer:

77766667787765⁵877788888

Answer:

[tex] \theta = \frac{\pi}{6} [/tex]

Step-by-step explanation:

[tex] \sin \theta = \frac{1}{2} \\ \\ \sin \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \\ \implies \: \theta = 30 \degree ( \because \: 0 < \theta < \frac{\pi}{2} ) \\ \\ or \: \: \theta = \frac{\pi}{6} [/tex]

what's the 12th multiple of 11

Answers

The 12th multiple of 11 is 12×11
This well give you 132
132 , because that would be 12x11

using the midpoint formula, solve for the midpoint of the segment with these pairs of endpoints (20,-15) and (-11,-10)​

Answers

Answer:

(9/2, -25/2)

Step-by-step explanation:

The Midpoint Formula:  The midpoint of the segment joining points [tex](x_1,\,y_1)[/tex] and [tex](x_2,\,y_2)[/tex] is [tex]\left(\frac{x_1+x_2}{2},\,\frac{y_1+y_2}{2}\right)[/tex].

[tex]\left(\frac{20+(-11)}{2},\,\frac{-15+(-10)}{2}\right)[/tex]

[tex](\frac{9}{2},\,-\frac{25}{2})[/tex]

By the way, instead of trying to memorize the formula, why not just think the x-coordinate of the midpoint is the average of the x-coordinates of the points. The y-coordinate of the midpoint is the average of the y-coordinates of the points.

The average of two numbers is exactly halfway between them!

what is the answer to this question
-5x-6=??

Answers

-5x-6=?

Is 5x-6

So, it is:

-1(x)

Imagine math problem! DUE TODAY!!!

Amelia ordered 2 large pizzas for a pool party.
After the party, 1/2 of one pizza and 3/8 of the other pizza remained.

ABOUT how much pizza is remaining?

A. Less than 1/2 pizza
B. Less than 1 pizza
C. More than 1 pizza
D. More than 1 1/2 pizzas

No links please! Thank you

Answers

Answer: (b)

Step-by-step explanation:

Given

Amelia ordered 2 large pizzas for the party

After the party, half of one pizza and three-eight of pizza is left from other pizza

Sum of the remaining pizzas

[tex]\Rightarrow \dfrac{1}{2}+\dfrac{3}{8}\\\\\Rightarrow \dfrac{4}{8}+\dfrac{3}{8}\\\\\Rightarrow \dfrac{4+3}{8}=\dfrac{7}{8}[/tex]

seven-eight is a fraction which is less than 1

Hence, less than 1 pizza is left

So, option (b) is correct.

Which statements are true? Select the two correct answers.
The square root of a positive number greater than 1 is less than the number.
The square root of a positive number is always less than half of the number itself.
The square root of a positive number less than 1 is less than the number.
The square root of a perfect square is not a whole number.
The square root of a positive number less than 1 is between 0 and 1.​

Answers

Answer:

5.the square root is positive number lessthan 1 is beteween 0 and 1

1.the square root of a positive number greater than 1 is less thsn number

determine the area A(-1,3) , B(-5,3), C (-5,3), D(-1,-2) 1 unit = 1 ft

Answers

Answer:

hi beauty nice to see you baby

Step-by-step explanation:

hehehe

find the cube root of 4096​

Answers

Answer:

16

Step-by-step explanation:

Answer:

16 is the answer

Step-by-step explanation:


Find the direction of the given vector. -6,5

Answers

9514 1404 393

Answer:

  140.2°

Step-by-step explanation:

The direction of vector (x, y) is the angle arctan(y/x). The signs of the components tell you this is a 2nd quadrant angle. The arctan function only gives values in the range -π/2 to +π/2, so 180° must be added for 2nd and 3rd quadrant angles.*

  arctan(5/-6) = 180° -39.8° = 140.2° . . . . CCW from the +x axis

_____

* Spreadsheets and some calculators have an ATAN2(x, y) function that uses the signs of the coordinates to give the result in the correct quadrant.

There are 270 cows on a farm.
a) On the farm
number of bulls : number of cows = 1:30
How many bulls are there?

Answers

Answer:

140

Step-by-step explanation:

Put the cows into groups of 30.
There are 9 groups so there must be 9 bulls.
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