The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

Formula

tn = a1 + (n-1)* d

Givens

tn = 67 (it is the last term or the nth term

n = 10

a1 = 4

find d

Solution

67 = 4 + (10 - 1)*d

67 = 4 + 9*d               Subtract 4 from both sides

67 - 4 = 9d            

63 = 9d                      Divide by 9

63/9 = 9d/9              

7  = d

Remark: This is a fundamental application of the arithmetic sequence. You pretty much have to know how to juggle it's parts.


Related Questions

What is the value of y? 2 R C A. 60° B. 120° C. 369 D. Cannot be determined​

Answers

Answer:

60 degrees

Step-by-step explanation:

edge

Andrew loses
31 pencils in
October
What is the
lose rate per
day?

Answers

Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

what is the slope of a line with points (0,3) and (5,18)

Answers

Answer:

bye

Step-by-step explanation:

PLS HELP!!! WILL MARK BRAINLIEST!!

Answers

Answer:

All real numbers

Step-by-step explanation:

It can go on to infinity.

Hope that helps

9. Anna has 102 quarters. Jazmin has
102 dimes. Who has more money, Anna
or Jazmin? How much more? Explain
your reasoning.

Answers

Answer:

Anna, Quarters are worth more than dimes

Step-by-step explanation:

While they both have 102 coins, quarters have a higher value than dimes do. Every 4 quarters is a dollar, so 102 divided by 4 is 25.5. Every 10 dimes is a dollar, divide 102 by 10 and you get 10.2.

Answer:

Anna has more money than Jasmine. Anna has $25.50 while Jasmine has $10.20. There is a $15.30 difference.

Step-by-step explanation:

While they both have 102 coins, quarters have a higher value than dimes do. Every 4 quarters is a dollar, so 102 divided by 4 is 25.5. Every 10 dimes is a dollar, divide 102 by 10 and you get 10.2.

i really need help with these two questions pleeeaassseeee

Answers

Answer:

10 is B

11 is D

Step-by-step explanation:

The sum of triple a number and twice another number is 4. The first number increased by the second number is 3. Find the two numbers. Show your work.

Answers

The answer is 1 & 2

1 + 1 + 2 = 4
2+2=4
1+2=3

119/30
Simplified please help this is urgent

Answers

14/3 or 4(2/3) is the answer
Find the GCD (or HCF) of numerator and denominator
GCD of 119 and 30 is 1
Divide both the numerator and denominator by the GCD
119 ÷ 1
30 ÷ 1
Reduced fraction:
119
30

Therefore, 119/30 simplified to lowest terms is 14/3

21.6% of all registered doctors were female, if there were 45,200 females registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number

Answers

Answer:

209259

Step-by-step explanation:

45200 / 21.6 = 209259.259259

209259.259259 rounded to nearest whole number = 209259

Sarah has 42 quarters and dimes in her piggy bank which totals $8.25. How many quarters and dimes does she have

Answers

She will have 23 quarts

3x+4y=12 find x-intercept and y- intercept

Answers

Answer:

x-intercept(s): ( 4 , 0 )

y-intercept(s): ( 0 , 3 )

x = 4

y = 3

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): ( 4 , 0 )

y-intercept(s): ( 0 , 3 )

slope = -0.750

what are all the roots of the function f(x)= x^3+3x^2-x-3

Answers

Answer:

\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

i need help as u can tell all the erasing

Answers

Answer:

x=10

Step-by-step explanation:

We know that the values will be the same because of a geometry rule (i don't remember which one sorry) so we can rewrite the equation as

6x=5x+10      Then, subtract 5x from both sides

x=10

I'm assuming this is what the question is asking

six and seven on this wkst!!!!!

Answers

Answer:

6.) x=5/4

7.) x=-6

Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)

Step-by-step explanation:

Just ask!

Hope this helps. :))

Sorry if I'm wrong.

~Happy Holidays!!~ o(* ̄▽ ̄*)ブ

(6p+5)×5-6p) expansion using special algebraic identit

Answers

24p+25 is this how you want your answer

i need answer please​

Answers

The unknown side of the right angle triangle is the hypotenuse side of the triangle and the length to the nearest tenth is 20.5 cm.

What is a right angle triangle?

Right angle triangle are triangle that has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.

Therefore,

c² = a² + b²

where

c = hypotenusea and b are the other legs

Hence,

15² + 14² = x²

225 + 196 = x²

x = √421

x = 20.5182845287

x ≈ 20.5 cm

learn more on right angle triangle here:https://brainly.com/question/3770177

Please use the graph below and not some other graph. A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.



Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.

Answers

Answer:

  see attached

Step-by-step explanation:

The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.

__

Additional comment

We don't have access to your segment tool, so you will have to copy the graph.

help me here pls
(solve on your own, a,b, and c)
(more practice, a and b)

Answers

Answer:

1. 0.0086

2. 0.0059

3. 0.0124

4. 0.0894

5. 0.0667

6. 4.578

7. 67.58

8. 99789.5

9. 685.31

10. 23500

Step-by-step explanation:

Use calculator or find the pattern

for problems under B, multiply the quotient by the dividend

Which best describes how to add 9.73 and 21.6?

Answers

Answer:

31.33

Work:    

        1  1

        9.73

   + 21.60

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

      31.33

Final Answer:

Therefore, 31.33 is our answer.

Hoped this helped.

En un barrio de 3.120 habitantes, se realizó una encuesta a 620 sobre la preferencia
por comer huevo al desayuno todos los días, contestando que, si le gusta 18 personas,
probablemente en el barrio, ¿cuántas personas prefieren lo mismo?

Answers

Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.

Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.

En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.

Usando una regla de tres podemos determinar la tendencia general:

Si a 18 personas de 620 les gusta comer huevo todos los días al desayuno, a cuántas personas de 3120 les gusta lo mismo.

18 = 620x = 3120

x = 18 x 3120 / 620x = 56160 / 620x=  90

Es decir que aproximadamente 90 personas tienen esta misma preferencia.

Aprenda más de estadística en: https://brainly.com/question/10678542

At time t= 0, a storage tank is empty and begins filling with water. For t > 0 hours, the depth of the water in the tank is increasing at a rate of W (t) feet per hour. Which of the following is the best interpretation of the statement W' (2) > 3?

a. Two hours after the tank begins filling with water, the depth of the water is increasing at a rate greater than 33 feet per hour.
b. Over the first two hours after the tank begins filling with water, the depth of the water is always increasing at a rate greater than 3 feet per hour.
c. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.
d. Over the first two hours after the tank begins filling with water, the rate at which the depth of the water is rising is always increasing at a rate greater than 33 feet per hour per hour.

Answers

The given function is the rate of change of the water depth. therefore,

W'(t) is the second derivative.

The correct option is; d. Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.

Reasons:

The volume of water in the tank is 0 at time t = 0 (the tank is empty)

The function that gives the rate at which the depth of water in the tank is

increasing at time t > 0 is W(t).

Where;

t = The time in hours

Therefore;

W'(t), the derivative of the function of the rate at which the water in the

tank is increasing in feet per hour is the rate of increase of W(t).

Which gives;

W'(2) = The rate of change of the rate at which the water level is rising (second derivative) two hours after begins to fill with water, per hour per hour.

Therefore;

W'(2) > 3 = Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour.

Learn more about second derivative here:

https://brainly.com/question/10305010

Round each amount to the nearest hundred to find an estimate of:

9635 – 4891
A. 4400
B. 4500
C. 4600
D. 4700

Answers

D if the answer
Picture attached

PLEASE, LAST POINTS! ( GIVING BRAINLIEST) TO GET BRAINLIEST ANSWER 6 and 8 PLEASE. LAST 10 POINTS!

Answers

Answer:

6; 6⁒2

10; 10⁒2

0; 3(0)+3

1; 3(1)+3

2; 3(2)+3

3; 3(3)+3

4; 3(4)+3

Step-by-step explanation:

each line is in order.

Answer:

  6. inputs: 2, 6, 10

  8. inputs: 0, 1, 2, 3, 4

Step-by-step explanation:

Use your knowledge of arithmetic facts.

6.

x = 2, 2÷2 = 1

x = 6, 6÷2 = 3

x = 10, 10÷2 = 5

__

8.

x = 0, 3×0 +3 = 3

x = 1, 3×1 +3 = 6

x = 2, 3×2 +3 = 9

x = 3, 3×3 +3 = 12

x = 4, 3×4 +3 = 15

Please help!! markup and markdown word problems.

1. Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did she pay?

2. Emily buys a toaster during the sale for 10% off. If Ellen pays &36, what was the original price?

Answers

Answer:

1) $343

2) $40

Step-by-step explanation:

1) Kathy paid (100 - 30)% of 490

so we can multiply 490 by 70%

490 x .7 = 343

2)  let 'x' = original price

if she's saving 10% (or .10) then she's paying 90% (or .90)

.9x = 36

x = 36/.9

x = 40

5x – 2y = 30
Complete the missing value in the solution to the equation. (8, ?)​

Answers

Answer:

5

Step-by-step explanation:

Hope this helps

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 .      subtract 40 from both sides

-2y=-10 .           divide both sides by-2

y=5

PLS ANSWER URGENT

1. Larry writes a list of numbers that has average 14, median 21 and mode 11

(a) Moe creates a list by adding 12 to each number in Larry’s list. What is the average, median and mode of Moe’s list?


(b) Curly creates a list by multiplying each number in Larry’s list by 2, what are the average, median and mode of Curly’s list?

Answers

Answer:

See step-by-step below!

Step-by-step explanation:

a) Moe's list:

Average=26

Median=33

Mode= 23

b) Curly's list

Average= 28

Median= 42

Mode= 22

perform the indicated operation 3 1/2 - 1 7/10

Answers

Answer: 1 4/5

Step-by-step explanation:

3 5/10 - 1 7/10 = 1 8/10

1 8/10 = 1 4/5

5c−4c+c equavilent like terms

Answers

Answer:

yes they are like terms

Step-by-step explanation:

they are like terms as the variables are same 5c-4c+

Hello there!

Solve by Combining Like Terms:[tex]5c-4c+c[/tex][tex]5c-3c[/tex][tex]2c[/tex]Therefore, 2c is the answer.

Hope it helps.

Good luck with your studies.

Answered by

~A lonely teen who helps people joyfully

Grace

Help!!

What is the value of -2 xy if x = -1 and y = 6?

-12
12
8
26

Answers

Answer:

12

Step-by-step explanation:

-2xy

Let x = -1 and y =6

-2 ( -1) (6)

Multiply

2 (6)

12

What value of t makes the equation true?
tx3 = 12 x 6

Answers

Answer: 24

Step-by-step explanation:

tx3 = 12 x 6

3t = 12*6

3t = 72

t = 24

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