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

Is 24:6 equivalent to 12:3

Answers

Answer:

Yes

Step-by-step explanation:

Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.

For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.

Hopefully that's helpful! :)

write the number twenty-nine million sixty thousand​

Answers

29,060,000

When writing this out, it is important to make sure you include the commas and the exact amount of zero's by the way.

Answer:29,060,000

Step-by-step explanation:

with every three zeros your number grows bigger 100,00= One hundred thousand. 29,000,000 = thwenty-nine million

Jenny and Dylan were putting chips into bags to help feed the homeless. They had 344 chips. Each bag holds 17 chips. How many full bags of chips can they make?​

Answers

Answer:

20

Step-by-step explanation:

Answer:

20 full bags of chips

Step-by-step explanation:

344 chips / 17 chips = 20 full bags (with 4 chips left over)

PLEASE HELP ME!!! GIVING BRAINLIEST

Answers

Hi there! I am here to help with your question.

I believe the answer is A, 39°, 57 minutes 23.76 seconds.

Thank you and I hope this helped.

Answer:

The correct answer is A

Step-by-step explanation:

hope it will help you

8. Beth doesn’t begin to receive commission until she reaches $50,000 in sales. Once she does, her commission rate is 12%. If she sells cars totaling $115,000, how much money does she make in commission?
A.$13,800
B.$6,000
C.$7,800
D.$8,400
PLEASE HELP ME

Answers

Answer:

The Answer Is A. $13,800

Step-by-step explanation:

(1,-3) (-3,1) find the slope​ intercept form​

Answers

We will need to use point-slope form, and then put this into slope-intercept form. We can also use slope-intercept form, and plug in the coordinates but we should get the same answer.

Firstly, we need to find the slope. We can use the formula y2-y1/x2-x1. 1-(-3)/-3-1 is 4/-4. The slope is -1.

Next, point-slope form is y-y1=m(x-x1). I will use the coordinate (1, -3) for y1 and x1. M is the slope. We do not need to worry about y and x. y-(-3)=-1(x-1). This gives us y+3=-x+1. Once we subtract 3, to isolate y, we get y=-x-2.

The answer is y=-x-2

Answer:

[tex]y=-x-2[/tex]

Step-by-step explanation:

1) First, find the slope between these 2 points.

(1, -3)

(-3, 1)

The change between the y-values is 4.

[tex]1--3=1+3=4[/tex]

The change between the x-values is -4.

[tex]-3-1=-4[/tex]

Slope is rise over run, and this is a rise of 4 and a run of -4, so the slope is -1.

[tex]\frac{4}{-4}=1[/tex]

If you just wanted to use the slope formula, you could do that too:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{1--3}{-3-1}\\\\m=\frac{4}{-4}\\\\m=-1[/tex]

2) Second, now you can use the slope to calculate the y-intercept.

Pick whichever point you want, and plug it into the equation along with the slope and solve for b.

(1, -3) = (x, y)

[tex]y=mx+b\\-3=(-1)(1)+b\\-3=-1+b\\-2=b\\b=-2[/tex]

The y-intercept is -2.

3) Finally, you can wire the equation in slope-intercept form.

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Plug in the values we found and you're done:

[tex]y=-x-2[/tex]

15 minutes how many students read the book in an hour

Answers

Answer:

Your reading speed will increase if you're reading a book you're familiar with than one you barely know. So, on average, you can read 40 to 50 pages of a book in an hour.

Step-by-step explanation:

Please help due tmmr please help

Answers

Answer:

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Leo´s response to the bully is a response of hurt and embarrassment. He seems sad and doesn´t even directly respond to the bullies ,¨several

students were huddled around Leo's desk... he had red rings around his eyes. He looked up at Hannah and said, "Why are people so mean?"

Explanation:

if Leo had posted something mean online the outcome would only have worsened. If it were him in the bullies shoes and the bully in his, the bully wouldve understood how these mean things make people feel.

Step-by-step explanation:

Eric has to read a 250-page novel by Friday. With four days left until Friday, he has read 110 pages of the novel. What percentage of the pages does Eric still have to read?

Answers

Answer:

56% left of the book

Answer:

56 %

Step-by-step explanation: There are two ways to arrive at the answer.

1st Way: 110/250 = 0.44

0.44 * 100 = 44%

44% is the amount he has read and we are looking for the amount that is left to read.

So we know 100% is the maximum percentage.

We then subtract 44 from 100 which is 56, So 56 is the answer.

2nd Way: 250-110 = 140

140/250=0.56

0.56*100= 56%

Hope this helps.

Which of the following equations have no solutions? Choose all answers that apply: ​

Answers

Answer:

All

Step-by-step explanation:

what two decimal
are between the square root of 62

Answers

7 and 8 because the square root is 7.874

How do I draw perpendicular line

Answers

Answer:

Follow these steps and you will find how to make a perpendicular line.

Step-by-step explanation:

Open the compass to a radius less than half the segment.

Draw two arcs intersecting the line on both sides of the point.

Draw two arcs using the intersection points as the centers. ...

Construct a line between this point and the original point.

Hope this helped :) -ish

are these equations equal ?

1. 5x^2 + 15 and 5 (x^2 + 3 )

2. 3y^2 + 6x^2 and 3 (y^2 + 2x^2)

Answers

yes.

explanation:
for the first one, you can factor out a 5 leaving you the same answer as the other one
and for the second one, you can factor out a 3, leaving you the same answer

hope it helps!

Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard

1.)right in equation that models the total number of money, y, that you can buy x yards of fabric

2.) if you bought 9 yards of fabric how much will you pay

3.) if you paid $47.50 how many yards of fabric did you purchase

Answers

Answer:

1.) 10x-5=y

2.) $85

3.) 5.25 yards of fabric.

Step-by-step explanation:

1.) To write an equation for this problem, we need to figure out what every value means:

the variable x, represents the amount of yards of fabric you can buy

the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.

1 yard of fabric equals $10, and we have a $5 coupon (-5)

Our equation is:

10x-5=y

This equation represents the relationship between the total cost of fabric, and the amount that you can buy.

2. In order to solve this problem we need to use our equation, one value is given which is 9.

9 represents x, the amount of yards of fabric.

Substitute 9 into x:

10(9)-5=y

Solve:

90-5=y

85=y

85 represents the cost of 9 yards of fabric, including the $5 coupon.

3.) This problem is similar to #2, although it's flipped.

The value given is $47.50, which represents (y), the total amount of money after (x) was found out.

But, we need to figure out (x).

Substitute $47.50 into (y):

10(x)-5=$47.50

Next, we need to figure out x by solving the opposite.

Adding the coupon to our answer can represent 10(x).

$47.50+5=52.50

10(x)=52.50

Lastly, divide both sides of the equation by 10.

10(x) / 10=52.50 /10

x=5.25

5.25 represents the amount of yards of fabric purchased if you paid $47.50.

What is the answer

80x+56=100​

Answers

Answer:

Ur answer buddy

The equation80x+56=100

First, solve like this80x = 100 - + 56

U have to know the formula

- + = -

+ + = -

- - = +

+ - = +

So, The answer is

80x = 44

Now , we have divide

80/44 = 40/22 = 20/11= 1.8182.

Plzzzz help meeeee plzzzzzzzz

Answers

Answer:

$0.70

Step-by-step explanation:

70cents is the same as 70/100. so, this would be 0.70.

Hope this helps!

Do you understand Geometry so far? What can help you improve learning Geometry?
Teyt style

Answers

Answer:

My graph. I can practice that can help.

Write an equation in slope intercept for a line that passes through (2,2)

Answers

Answer:

any line can pass through the point (2,2) so there needs to be a second point

Step-by-step explanation:

i will mark brainlist !!!!!!!!

Answers

Answer:

f(n)=4*2^(n-1)

f(n)=a*b^n -> 2 is the multiplier for the outputs, so b=2. 4 is the output when n=1 (all answers are to the power of n-1), so a=4

A plant grows at a constant rate. The table shows the heights of the plant for different numbers of days of growth. Which of the following pairs of days and heights could also be included in the table? Select all that apply.

Answers

The answer is an answer that I do not know

my Christmas present to you​

Answers

thanksss. you’re a real one lol

Suppose you want to have $600,000 for retirement in 20 years. Your account earns 9% interest. How much would you need to deposit in the account each month?

Answers

$2,275 a month

Multiply $600,000 by 9 percent to get how much money altogether you got in interest

Change the 9 percent to the decimal 0.09

And get $54,000

Subtract 600,000 by 54,000
To get how much you put in

You get 546,000

You divide 546,000 by 20
To get how much money each year

You get 27,300

You then divide 27,300 by 12
To get how much monthly

You get 2,275

Which is the graph of f(x) = 2(3)*?

Answers

Answer:

First option (top left)

Step-by-step explanation:

Since the coefficient of this equation, [tex]2(3)^{x}[/tex], is 2, when x is 0, then y must be 2. The graph must have a y-intercept of 2. You can find this by plugging this in.

I cannot see the fourth graph, but the second graph does not have a y-intercept of 2, therefore it can immedeately be ruled out.

Then we plug in the coordinates they give.

It just so happens that the first one, [tex]2(3)^1[/tex] is indeed equal to 6.

We can check that this is right by disproving the third one (top right).

[tex]2(3)^2=18[/tex], not 8, therefore our third answer choice is false.

The fourth one is definetly wrong because the y-value at x=2 (as we have already calculated) is 18, not 12.

Therefore, our first answer, the one on the top left, is correct.

note: for this problem you did not even need to find the y-intercepts. Plugging in the coordinates would be fine by its own (the second answer choice is already wrong just because of the coordinates since 9≠6(found in answer choice 1)). However, having the y-intercept handy will be very helpful if there is more than one answer choice with correct coordinates.


What multiplication problem matches this addition problem?
6 + 6 + 6 + 6 + 6 + 6 + 6 = 42
Type the correct answer. k12 online school

Answers

6*7=42
It’s the answer I guess.
6^7=42

(6 to the 7th power equals 42)

Please show me what the lines would look like on this piece wise function

Answers

Answer: The graph is shown below

Explanation:

The f(x) function is piecewise, and it has a double identity depending on what x is.

If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's not part of the graph. In contrast, the closed hole at x = 1 is included.

The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.

So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.

i. (x+y) − (x−y) is a ___________ expression.

Answers

It’s a monomial equation.

After opening brackets we get X+y-X+y which is equal to 2y

Hey! Please help me ASAP.

Answers

I think its the third one but im not completly sure

Answer:

-t-5>-1.5

Step-by-step explanation:

Just ask.

Hope this helps! :)

please explain why. Thanks

Answers

Question :-

Is (x-2) is a factor of x³-3x²-x +7 –

Yes No ☑

Explanation :-

We are given

Polynomial function, P(x) = x³-3x²-x +7

In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.

Let's find value of x!

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf P(x) = x³-3x²-x +7[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf Q(x) =x - 2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf If \:Q(x) = 0[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 2 = 0[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x = 2[/tex]

Now Put x = 2 into the polynomial –

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 -12 +5[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 13-12[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) =1 }[/tex]

Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of  x³-3x²-x +7.

________________________________________

Please answer this ASAP
Solve for x.
5x−3=13−3x

A: x=-2
B: x= -5
C: x=2
D: x=5

Answers

Answer:

5x−3=13−3x

x=2

positve 2

HELP ASAP (40 POINTS)

Solve the equation.

16x^2 + 4 = 0

A: +/-4i
B: +/- 1/2i
C: +/- 1/4i
D: +/-2i

Answers

Answer:

c i think because the problem =-

[tex] - \frac{1}{4} [/tex]

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