The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
A) 14/13
B) 25/7
C) 4​

Answers

Answer 1

Answer:

       C)  4

Step-by-step explanation:

The nth term of arithmetic sequence is   [tex]a_n=a_1+d(n-1)[/tex]

So:

    [tex]a_{15}=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=\dfrac{56}{14}=4[/tex]


Related Questions

HELP ASAP!!!!! BRAINLIEST AWARD!!!!!!
Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained. Solve the problem.

examples below:

Answers

1.The Chord Intersection Theorem:

If 2 chords of a circle are AB and CD and they intersect at E, then

AE * EB = CE * ED.

Problem.

Two Chords AB and CD intersect  at E.  If AE =  2cm , EB = 4 and CE = 2.5 cm, find the length of ED.

By the above theorem : 2 * 4 = 2.5 * ED

ED = (2 * 4) / 2.5

= 3.2 cm.

2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

=  +  

169 = 25 +  

169 - 25 =  

144 =  

⇒ d =  

      = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle

Round 452.196 to the nearest tenth

Answers

I think the answer is 452,2, im sorry if its wrong

Find the value of x. 5x+33+17x+37

Answers

*X can not be found, only simplified or factored)

5x+33+17x+37

Add the x units

22x+33+37

Add the 33 and 37

22x + 70

Subtract 77 to the other side

Simplify: 22x = -70

Factor: 2(11x+35)

Help please, I suck at maths

Answers

Answer:1, 5

Step-by-step explanation:

divide the expression to get your answer then divide the choices on the right. find the ones with the same answer.

Answer:

7,610/50

.761/.005

Step-by-step explanation:

Compare both expressions' sums and check them off.

I need help with this and the first person who can answer this correctly gets a BRANLIST​

Answers

Answer:

c

Step-by-step explanation:

c because no x values repeat

Kyleigh invested $2800 in an account paying an interest rate of 5 1/2% compounded annually Ariana invested $2800 in an account paying in interest rate of 5 3/4%compounded continuously after 12 years how much more money with Ariana having her account then Kylie to the nearest dollar?

Answers

Answer:

$259

Step-by-step explanation:

\text{Rate 1: }5\tfrac{1}{2}\%=5+1/2=

Rate 1: 5  

2

1

​  

%=5+1/2=

\,\,5.5\%\rightarrow 0.055

5.5%→0.055

\text{Rate 2: }5\tfrac{3}{4}\%=5+3/4=

Rate 2: 5  

4

3

​  

%=5+3/4=

\,\,5.75\%\rightarrow 0.0575

5.75%→0.0575

\text{Calculate Final Amount for Kylie}

Calculate Final Amount for Kylie

\overline{\phantom{\text{Calculate Final Amount for Kylie}}}

Calculate Final Amount for Kylie

​  

 

\text{Compounded Annually:}

Compounded Annually:

A=P(1+r)^t

A=P(1+r)  

t

 

P=2800\hspace{35px}r=0.055\hspace{35px}t=12

P=2800r=0.055t=12

Given values

A=2800(1+0.055)^{12}

A=2800(1+0.055)  

12

 

Plug in values

A=2800(1.055)^{12}

A=2800(1.055)  

12

 

Add

A=5323.381

A=5323.381

Use calculator

\text{Calculate Final Amount for Ariana}

Calculate Final Amount for Ariana

\overline{\phantom{\text{Calculate Final Amount for Ariana}}}

Calculate Final Amount for Ariana

 

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

P=2800\hspace{35px}r=0.0575\hspace{35px}t=12

P=2800r=0.0575t=12

Given values

A=2800e^{0.0575(12)}

A=2800e  

0.0575(12)

 

Plug in

A=2800e^{0.69}

A=2800e  

0.69

 

Multiply

A=5582.4035

A=5582.4035

Use calculator (with e button)

\text{How much more money Ariana has:}

How much more money Ariana has:

5582.4035-5323.381

5582.4035−5323.381

259.0225

259.0225

Express each quotient in the simplest form. A. B. C. D.
What is the answer? There is nothing people have said to help

Answers

Is there an image you can show?

Please help me with this kahn assignment!
Thank you

Answers

Answer:

[tex]7^{8}[/tex]

Step-by-step explanation:

When you multiply exponential numbers with the same base number, you have to add the exponents. So add 2 and 6 because the numbers share 7 as base.

please give brainliest if it helped:)


theres one more page ​

Answers

6) x=-2
7) b = 195
8) v = -17
9) x = 20
10) x = -260

Someone help me please !!!

Answers

Yes it is a function

What phrase describes slope?

A Constant rate of change

B constant rate of percent

C constant rate of interest

Answers

Answer:

-A Constant rate of change

Step-by-step explanation:

I learned this for years.

find the product

(n+8)(m-2)

Answers

Answer:

nm - 2n + 8m - 16

Step-by-step explanation:

(n + 8) (m - 2)

nm - 2n + 8m - 16

Use foil method

Answer: nm - 2n + 8m - 16

There are 5 people at a party. They decide to share 3 ice cream sandwiches equally.
Which model shows how much of the ice cream sandwiches each person will get?
C.
D

Answers

Answer:

your answer will be D. I think :)

Answer: d

i have the test

divide $50 in the ratio 2:3​

Answers

Answer:  2:3=5

$50=5 units

divide both sides by 5

$10=1unit

times 2 both sides

$20=2 unit

if we times 3 of $10=1 unit

$30=3 unit

divided it is $20:$30

→ Hope this helps ←

PLEASE HELP!! I’m very confused

Answers

Orange is the least favorite color

Identify the values of a, b, and c in the following quadratic equation. 5x 2 - 4x + 8 = 0 a = , b = , c =

Answers

Answer:

a=5

b=-4

c=8

Step-by-step explanation:

Sean solved a quadratic equation by factoring.
The problem he solved is given. Complete the
four blanks shown for one of his steps and the
solution

Answers

Step-by-step explanation:

Here are the steps required for Solving Quadratics by Factoring:

Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.

Step 2: Use a factoring strategies to factor the problem.

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

Example 1 – Solve: x2 + 16 = 10x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

Step 1

Step 2: Use a factoring strategies to factor the problem.

Step 2

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

Step 3

Step 4: Solve each factor that was set equal to zero by getting the

Enzo saw

45

squirrels at the park. This was

9

times as many squirrels as he saw in his yard.

Answers

Answer:

Its easy 45×9=405 simple Mental math

what do you need to find in order to solve a system

Answers

could you post a picture of the question? we dont have enough context

Answer:

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.

De dónde se obtienen los datos generales complementarios que se utilizan para calcular la razones de actividad

Answers

Answer:

En el departamento de ventas.

Explicación paso a paso:

Los datos generales complementarios se pueden obtener del departamento de ventas donde están presentes los datos sobre ventas y nos ayudan a calcular los ratios de actividad. El índice de actividad se puede calcular dividiendo las ventas de la empresa por sus activos totales. Este índice de actividad indica la eficiencia de una empresa mediante el uso de sus activos disponibles para producir ventas. El índice de actividad también se denomina "Índice de gestión de activos". Los datos de ventas son necesarios para el índice de actividad que puede estar disponible en el departamento de ventas.

Hello if you can please help

Answers

Answer:

24.61 cm2

Step-by-step explanation:

Area=( (a+b)/2)*h

((3.2+7.5)/2*4.6

(10.7/2)*4.6

5.35*4.6

24.61

Find the surface area of each prism or pyramid. Round to the nearest tenth if necessary. Can someone help me with 17-19 for 30 points

Answers

17) 388 in^2
18) 585 in^2
19) 960 ft^2
*fyi- ^2 means squared just in case you didn’t know also hope the picture helps!

Which number of spins would most likely result in a relative frequency that is closest to the theoretical probability?


• 10 spins
• 50 spins
• 100 spins
• 400 spins

With the spinner shown the theoretical probability of landing on 2 is 0.25!​

Answers

Answer:

The answer is four since the probability is 1/4 in fraction form

Step-by-step explanation:

hope this helps!

The measures of the exterior angles of a hexagon are x°x°, 2x°2x°, 5x°5x°, 6x°6x°, 7x°7x°, and 9x°9x°. Solve for x.

Answers

Answer:

x = 12°

Step-by-step explanation:

The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.

The sum of the exterior angles of a polygon sums up to 360

An hexagon is a 6 - sided polygon

(x + 2x + 5x + 6x + 7x + 9x) = 360

30x = 360

Divide both sides by 30

x = 360 / 30

x = 12

Hence, x = 12°

according to the graph, what is the approximate average rate of change in the radius of the circle as the area increases from 3 square feet to 7 square feet?​

Answers

Answer: the answer is 0.125 foot per square foot

Step-by-step explanation:

how do you calculate ratios

Answers

Answer:

A link for a calculator that I use for ratios

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/ratios.php

Identify slope (m) and y-intercept (b): 4y - 3x = 4*
1. m = 4/3 b = 4
2. m = 3/4 b = 1
3. m=-3 b = 4
4. m = 3/4 b = 4

Answers

Answer:

2.

Step-by-step explanation:

y = 3/4x +1

m = 3/4 b = 1

hope this helps

The answer is two. You have simplify the solution to get it to y=mx+b form

10. Barbara puts $22 a week for 30 weeks in her savings account at the bank.
If she receives $4 interest for every $100 saved, how much money will
Barbara have after the 30 weeks?
$684
$660
B.
$636
$404

Answers

It would be $636 because 30 times 22 is 660 and since it’s $4 interest for every hundred you do 6 times 4= 24 and 660-24=636.

Can anyone answer this question?

Answers

Answer:

its 75 obviously

Step-by-step explanation:

corresponding angles

angles in a straight line

give me the brainiest

180-105=75

angles in a straight line add upto 180

corresponding angles are equal

PLEASE HELP

4. Is this a right triangle? Side lengths of 4 in., 6 in., and 9 inches.
O Yes
Ο Νο

Answers

Answer:

yes

Step-by-step explanation:

:)

Answer:

  no

Step-by-step explanation:

The sides of the given lengths will form a right triangle if they satisfy the Pythagorean theorem.

  c² = a² + b²

  9² = 4² +6²

  81 = 16 +36 . . . . . not true

These side lengths do not form a right triangle. (They form an obtuse triangle.)

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