The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the
sequence?

Answers

Answer 1

Answer:

53=-3+14d

56=14d

d=4 that is the common difference


Related Questions

The difference between one half of a number and one fifth of it is 561. Find the number.

A. 2805
B. 1870
C. 5610
D. None of these answers

Answers

B. 1870
The question is basically:
1/2x - 1/5x = 561
Find the value of the variable x, is what we are going to answer.

I tested all the answer choices and find the answer choice B. 1870
EXPLANATION:
(1/2)(1870) - (1/5)(1870)
= 935 - 374
= 561
I HOPE I HELPED!

order the following radicals from the least to greatest without using a calculator. show your reasoning

[tex]2 \sqrt{6} [/tex]
[tex]5 \sqrt{10} [/tex]
[tex]4 \sqrt{2} [/tex]
[tex]3 \sqrt{3} [/tex]

Answers

Answer:

2*sqrt6 = 2*apprx2 = 4

5*sqrt10 = 5*3.1 = 15.5

4*sqrt2 = 4*1.4 = 6.4

3*sqrt3  = 3*1.7 = 5.1

4, 5.1, 6.4, 15.5 or... 2sqrt6, 3sqrt3, 4sqrt2, 5sqrt10

 

Write the digits used in binary number system

Answers

Answer:

Binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2.

Can somebody please help me?

Answers

Answer:

use Pisagor teorem

Step-by-step explanation:

The line which start on the edge and divided other side 64 and 36 be Y and we use Pisagor teorem so Y²=64*36...... y=8*6=48 .................(1)

use other triangle to find hipotenus 48²+36²=x² .... x= 60

What is the rule for the nth term for number sequence 2;5;7;12;19

Answers

Add the two previous terms together to get your next answer: 2 + 5 = 7 , 7 + 12 = 19.

find quotient in exponential forms 9power5
divided by
3 power 6 answer in detail​

Answers

Answer:

oooooooooooooooooooo

Answer:

[tex]{ \tt{ = \frac{ {9}^{5} }{ {3}^{6} } }} \\ \\ = { \sf{ \frac{( {3}^{2}) {}^{5} }{ {3}^{6} } }} \\ \\ { \sf{ = \frac{ {3}^{10} }{ {3}^{6} } }} \\ \\ = { \tt{ {3}^{(10 - 6)} }} \\ = { \sf{ {3}^{4} }}[/tex]

Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, with a surface area of 200 cm^2.

Answers

Answer:

The length = The width = The height  ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴  l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

Put the numbers into the boxes to represent the sum of the rational expression
given below.

Answers

Answer:

[tex]\frac{4x+9}{2x+5}[/tex]

Step-by-step explanation:

Cross multiply.Add like terms.Simplify.

what fraction is equivalent to [tex]\frac{1}{6}[/tex]

Answers

2/12 (2 over 12) or 3/18 (3 over 18)

For num in range (1,10) : if num is %2 = = 0: print (num)

Answers

yfd sat fltfurjbhviccyvihkjobkb 47 I have

please help me
its urgent :)

Answers

Step-by-step explanation:

i Will help wit Shape A and Next Try to figure out Shape B

shape A Looks the Shape XY coordinate, which Horizontal & Vertical Line

Shape A Coordinate

X = 7, 8.5, 7,5, 7.5,

Y = 7, 7, 6.5 , 5

if you wanna to understand this coordinate between X & Y try plotting with Horizontal or Vertical Line at your Shape And you Would be Understanding about these coordinate meaning

please help me
solve (x+3) (x+7)

Answers

Step-by-step explanation:

Here, we'll need to multiply these two values together.  I'll use the expansion formula, which goes as follows:

[tex](a+b)(c+d)[/tex]

Expand

[tex]ac + ad + bc + bd[/tex]

Lets apply this to the following equation:

[tex](x+3) (x+7)[/tex]

Expand.

[tex](x*x) + (x * 7) + (3 * x) + (3 * 7)[/tex]

Simplify.

[tex](x^2) + (7x) + (3x) + (21)[/tex]

Remove parenthesis and add.

[tex]x^2+10x+21[/tex]

Answer:

x^2+10x+21

Select the best answer to describe the parabola

Answers

Positive parabola that has a minimum.

It’s positive if it opens upward, negative if it opens downward. It has a minimum if it opens upward, and maximum when it opens downward.

15÷7500
what is the answer

Answers

Answer:

Answer is 0.002

Step-by-step explanation:

15÷7500 = 0.002

Answer:

ampota ma,pakyu

Step-by-step explanation:

what is the answer dapalon taka karun

10700 by 100 + 5192by 1000 - 412

Answers

Answer:

the answer is -299.808 well that's what I think it's

Answer:

-299.808

Step-by-step explanation:

= 10700/100 + 5192/100 - 412

= 107 + 5.192 - 412

= -299.808

Please answer before 2:30!!!
There are 189 apples in a basket. How many children can share them equally?
List all numbers that apply.

Answers

For the equal distribution each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple.

What is equal distribution?

The distribution of a something in a way that each will get same amount.

How 189 can be divided equally?

If the distribution is equally then each child should take, either 1 or 2 or 3 an so on means same amount.

For this we will check that 189 is divisible by which numbers.

Now we can see that 189 is divisible by 1, 3, 7, 9, 21, 27, 63, 189. It is clear that each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple then the distribution will be equal means every child will have same amount of apple.

Therefore, the correct answer is 1, 3, 7, 9, 21, 27, 63, 189.

Learn more: https://brainly.ph/question/4734029

#SPJ2

help me with this question math please

Answers

Answer:

42.94$ is the answer.....

Find the value of x.

Answers

Step-by-step explanation:

here's the answer to your question

An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

Rate of plane 735 km/hr

Rate of wind 65 km/hr

Step-by-step explanation:

Calculation to determine the rate of the plane in still air

Let Va represent the velocity of the airplane

Let Vw represent the velocity of the wind

When flying with the wind:

(Va+Vw)*(6 hours) = 4800

6Va + 6Vw = 4800

6Vw = 4800 - 6Va

Vw=4800/6-Va

Vw = 800 - Va

When flying against the wind:

(Va-Vw)*(6 hours) = 4020 km

6Va - 6Vw = 4020

Substitute 800-Va for Vw and solve for Va:

6Va - 6(800-Va) = 4020

6Va -4800 + 6Va = 4020

12Va = 8820

Va=8820/12

Va = 735 km/hr

Therefore the rate of the plane in still air is 735 km/hr

Calculation to determine the rate of the wind

Rate of wind:

Vw = 800 - Va

Vw= 800 -735

Vw= 65 km/hr

Therefore the rate of the wind is 65 km/hr

help help help help

Answers

Answer:

abc is a triangle so ,

a is ( 9,6 )

b is ( 9,3 )

and c is ( 3,3 )

Can you help please please helps

Answers

Answer:

2nd option

Step-by-step explanation:

Given

- np - 6 ≤ 3(c - 5) ← distribute

- np - 6 ≤ 3c - 15 ( add 6 to both sides )

- np ≤ 3c - 9

Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.

n ≥ [tex]\frac{3c-9}{-p}[/tex]

Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%.

Answers

1.6/2 * 100 = 80%
100% - 80% = 20%

So the snow depth decreased 20%.

Please hurry I will mark you brainliest

What is the slope of the line with an x-intercept of 4 and a y-intercept of -37

Answers

Step-by-step explanation:

Slope is [tex]\frac{rise}{run}[/tex], so the slope is [tex]\frac{y}{x}[/tex], which also equals [tex]-\frac{37}{4}[/tex].

For the following equation,find y when x = - 3. Then find x when y = 2. Y = 6x + 8

Answers

Answer:

When

when x = - 3 then y=. -10

when y = 2 then x =. -1

The two bases of a trapezoid measure 14 inches and 10 inches respectively. The trapezoid's height is 8 inches. What is the area of the trapezoid?
192 square inches

1120 square inches

140 square inches

96 square inches

Answers

Answer:

A = 96 inches ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the bases and h is the height

A = 1/2( 14+10)*8

A = 1/2(24)*8

A = 12*8

A = 96 inches ^2

[tex]\huge\mathfrak\red{❥︎ANSWER}[/tex]

A = 96 square inches..

Step-by-step explanation:

The area of trapezoid is given

A = 1/2 (b1+b2)h where b1 and b2 is base and h is height

A = 1/2 (14+10)*8

A = 1/2 (24)*8

A = 12 * 8

A = 96 square inches ....


The length of a rectangle is 7 inches longer than it is wide. If the area is 60 square inches, what are the
dimensions of the rectangle?

Answers

Answer: 5 by 12

Step-by-step explanation:

Let's call the dimensions of the rectangle w and w+7

The area is 60, so we can do 60=w(w+7)

60=w^2+7w

w^2+7w-60=0          factor the quadratic equation

(w-5)(w+12)=0

w-5=0, w=5

w+12=0, w=-12

Since the length of a rectangle cannot be negative, w=5

the dimensions of the rectangle are 5 and 12

9/7 = please answer me​

Answers

Answer:

[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]

Draw a line through the origin that has a slope of 1/2

Answers

Step-by-step explanation:

Slope = rise/run = 1/2

You need to plot these two points = (1,0) and (3,1) and make a line paas through

Answer by Gauthmath

Simple geometry problem

Answers

Answer:

Step-by-step explanation:

I gather that you need to find the area of the sector and then subtract from it the area of the segment to get the area of the triangle (although there are other ways in which to find the area of the triangle).

The area of a sector is:

[tex]A=\frac{\theta}{360}\pi r^2[/tex] where our angle is given as 34, pi is 3.1415, and the radius is 5:

[tex]A=\frac{34}{360}(3.1415)(25)[/tex] and if you multiply and divide that all out you get that the area of the sector is:

A = 7.417

Now subtract from it the area of the segment, 2.209. to get the area of the triangle:

7.417 - 2.209 = 5.208

you should probably try reading the question first.

the arc measure and radius are given to you. now, it is up to you to use your brain and put two and two together. good luck.

factorise the expression 6x²y + 15xy²

Answers

Solution : 3xy(2x + 5y)
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