The first term of an arithmetic sequence is 10. The 7th term is 28. What is the common difference of the arithmetic sequence?

Answers

Answer 1

Answer:

the answer is A1

Step-by-step explanation:

{a7} = 10 = a1 + 7*4

   10 = a1 + 28

  -28         - 28

 -18 = a1


Related Questions

A gym is offering a deal to members. Customers can sign up by paying a registration fee of $100 and $28 per month. The function that models this situation is c(m) = 28m + 100, where m is the number of months and c(m) is the cost of becoming a member.
Determine:
6. the shape of the graph



7. the independent and dependent variables


8. the domain and range


9. Interpret the slope and y-intercept values


10. How much will the membership cost for a whole year?

Answers

6) The equation given is written in standard form of writing the equation of a line y = mx + b

Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line

7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.

From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)

8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0

28m + 100 > 0

28m > -100

m > -100/28

m > --25/7

The domain is m > -25/7 while the range is c(m) > 0

9) The comparing the equation with y = xm+ b

where x is the slope

28m = mx

x = 28

This shows that the rate of change of cost per member is $28

The y-intercept is the point where the number of months is 0

If m = 0

c(0) = 28(0) + 100

c(0) = 100

The initial cost of membership in the first month is $100

10) Given the formula c(m) = 28m + 100

For a whole year, m = 12

c(12) = 28(12) + 100

c(12) = 336 + 100

c(12) = 436

Hence the membership will cost $436 for the whole year

Learn more here:  https://brainly.com/question/17003809

A 10-pound bag of grass seed will cover an area of about 4000 square feet. The relationship between pounds (p) of grass seed and area (a) can be written as a = kp. What is the value of k? what does it represent

Answers

Answer:

it represent the 10 pound and 4000 multiply = ans

Find and intercept the slope of this line.

Answers

Answer:

The slope is -4. The amount of money left goes down by 4 with each comic book.

Step-by-step explanation:

The answer is D

make v the subject of the formula ​

Answers

[tex]T =\dfrac 5{V+1}\\\\\\\implies VT+T = 5\\\\\implies VT = 5-T\\\\\implies V =\dfrac{5-T}T[/tex]

Answer:   [tex]V = \frac{5}{T} - 1[/tex]   OR  [tex]V = \frac{5 - T}{T}[/tex]

Step-by-step explanation:

One way we can make V the subject of the formulas by rearranging the terms mathematically to get V on one side of the equation and the other terms on the other side:

since       T = 5 ÷ (V + 1)          [multiply both sides by (V+1)]

    T (V + 1) = 5                        [divide both sides by T]

       (V + 1) = 5 ÷ T                  [subtract 1 from both sides]

              V = (5 ÷ T) - 1    OR   [tex]V = \frac{5}{T} - 1[/tex]

If we want the RHS with over a single denominator we can write it as

  V = (5 ÷ T) - (T ÷ T)       [rewrite 1 in terms of T (T/T)]

  V = (5 - T) ÷ T   OR  [tex]V = \frac{5 - T}{T}[/tex]

pls solve Solve. 3/4(x−8) =−1/2
x=−26/3
x = 10
x=22/3

Answers

Answer:

i think its the 3rd option

Step-by-step explanation:

i'd'k what it is but you can read it over and over again

(p.s Brainleist?)

Answer:

x=22/3

Step-by-step explanation:

What's the answer plz help!!!

A line contains the points (-3, -9) and (4, 5). What is the point-slope form of the line?

y + 9 = -2(x + 3)


y - 5 = 3( x - 2)


y - 9 = 2(x + 3)


y + 9 = 2(x + 3)

Answers

Answer:

y+9 = 2(x+3)

Step-by-step explanation:

Find the surface area of the ball shown to the right

d=20

Answers

Answer:

Surface Area = 1,256 cm

Solution:

formula: Surface Area of a Sphere: 4π · r²

Surface area = 4π · r²

SA = 4(3.14) (10)²

SA =  (12.56)(100)

SA = 1,256

Nathan has a collection of 4,324 toy cars? Him and his friend Nashon divide the cars into rows on Nathan’s
driveway, and they end up with 46 rows. Each row has the same number of cars in it. How many cars are in each
row?

Answers

4324 / 46 = 94
94 cars

please help me!!!!!!

Answers

Answer:

S.I = P x R x T / 100

Step-by-step explanation:

therefore 8000 x 7 x 5 / 100 = 280000/ 100

= 2800

4^4+400÷(4+6^2)−2^4


Answers:

250

244

18

10

Answers

Answer:

250

Step-by-step explanation:

Multiply. Write your answer as a fraction or as a whole or mixed number. 2 1 5 × 2 =

Answers

215*2= 430

If you didn’t mean that then…
2 1/5*2 = 4 and 4/10.

If you meant 21/5*2 = 8 4/10.

Hope one of those helped!! :)

Look at screenshot whoever is correct i will mark brainliest

Answers

Answer:

y+3=1/5(x+4)

Step-by-step explanation:

Hi, I would recommend that you memorize the point slope formula, as it comes up often in later grades.

Point slope formula is y - y1 = m * (x - x1)

and so since we're given the slope (m), we simply plug it in.

y - y1 = 1/5 * (x - x1)

then we would plug in our x and y

(-4,-3)--> -4 is the x and -3 is the y

y+3=1/5(x+4) double negatives= a positive.

Let me know if you have any questions in the comment ;)

Which value of m is a counterexample for the following statement?

If m is an odd prime number, then m + 2 is also prime.

7

3

5

9

11

Answers

Answer: 7

The prime numbers here are 3, 5, 7, and 11. This means that 9 is not prime. Since 7 +2 is 9, this disproves that m + 2 is also prime.

Would appreciate brainly <3

Answer:

true

Step-by-step explanation:

because you can start at zero and go on forever adding twos but it'll still be the same

Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick

Answers

7 students are home sick

someone
someone
someone
somone

Answers

Answer:

-24

Step-by-step explanation:

have a great day! feel free to mark as brainliest! :)

the repayment on a loan was Php 23600. If the loan was for 18 months at 12% interest in year, how much was the principal?

Answers

If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.

Given the following data:

Interest rate = 12%Simple interest = Php 23600Time = 18 months

Conversion:

12 months = 1 year

18 months = 1.5 year

To calculate the principal amount if the interest rate is 12% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]

Principal amount, P = Php 131,111.11

Read more: https://brainly.com/question/22621039

what should be included in your financial plan to protect assets

Answers

Answer:

A trust could protect them. Buying liability insurance or an umbrella policy will also help protect assets in case you get sued.

Step-by-step explanation:

Solve.

−4 3/4=x−1 1/5

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.

X= ??

Answers

Sorry if I’m wrong but I think the answer is x= -3 11/20
Decimal form: x=-3.55

help will give brainliest

Answers

Answer: the answer is line 2

Step-by-step explanation:

25. Save the simultaneous equations 2x-y=4;x+y=5​

Answers

Answer:

x = 3

Step-by-step explanation:

2x - y = 4

x + y = 5

y = 5 - x

2x - (5 - x) = 4

2x + x - 5 = 4

3x = 9

x = 3

5.
Bread
Cost ($)
Weight (oz)
16
Whole wheat
2.24
Pita
20
3.60
7-grain
16
2.56
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are th
38
Help me

Answers

Answer:

search on chrome 4 mor answer mwa mwa

Step-by-step explanation:

I don’t know but I really need answers

182 divided by 7 step-by-step

Answers

Answer:

26 is the quotient

Step-by-step explanation:

7 * 26 = 182

im not good at explaining but that's the answer

anyone please help me for brainly

Answers

Answer:

A.) [tex]f(x)=25x+40[/tex]

Step-by-step explanation:

Answer:

[tex]f(x)=25x+40[/tex]

Step-by-step explanation:

Hope this helps

plzzz need urgent help I will give brainlist

Answers

I just answered the second one on your last published question , so I'm solve the first one :

[tex]2x - y \leqslant 5[/tex]

[tex]x + 2y > 2[/tex]

There are two ways to find the answer I just do it in one of them but let me know if u wanna know the other way .

I'm gonna use the options to see which ordered pair is true in both inequalities which is the answer we r looking for :

Option 1 : ( 1 , - 1 )

[tex]2(1) - ( - 1) \leqslant 5[/tex]

[tex]1 + 2( - 1) > 2[/tex]

So ,

[tex]3 \leqslant 5 \: \: \: \: \: true[/tex]

[tex] - 1 > 2 \: \: \: \: \: false[/tex]

So this is not the correct option ..

_____________________________________________

Option 2 : ( 4 , 1 )

[tex]2(4) - 1 \leqslant 5[/tex]

[tex]4 + 2(1) > 2[/tex]

So,

[tex]7 \leqslant 5 \: \: \: \: false[/tex]

[tex]6 > 2 \: \: \: \: true[/tex]

Nope ...

_____________________________________________

Option 3 : ( 2 , 0 )

[tex]2(2) - 0 \leqslant 5[/tex]

[tex]2 + 2(0) > 2[/tex]

So,

[tex]4 \leqslant 5 \: \: \: \: true[/tex]

[tex]2 > 2 \: \: \: \: \: false[/tex]

Nope....

_____________________________________________

The answer must be Option 4 bcuz there's no more options left but let's check it out :

Option 4 : ( 3 , 2 )

[tex]2(3) - 2 \leqslant 5[/tex]

[tex]3 + 2(2) > 2[/tex]

So,

[tex]4 \leqslant 5 \: \: \: \: \: true[/tex]

[tex]7 > 2 \: \: \: \: true[/tex]

There it is ....

Deon's gas tank is  1/5  full. After he buys  13  gallons of gas, it is  7/10  full. How many gallons can Deon's tank hold?​

Answers

Answer/Step-by-step explanation:

We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/5x or 1/5 of a full tank.

After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank

So we start with

(1/5)x + 13 = 7/10x

Let's subtract 1/5x from both sides

13 = 7/10x - 1/5x

Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10

13 = 7/10-2/10x

Now we simplify to get

13 = 5/10x

Multiply the reciprocal of 5/10 to both sides which is 10/5

13 * 10/5= x

Answer is 26 gallons.

Therefore, Deon's tank can hold 26 gallons.

Answer:

26 gallons.

Step-by-step explanation:

7/10 - 1/5

= 7/10 - 2/10

= 5/10 = 1/2.

So the tank holds 2*13 = 26 gallons.

Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
line 10x + y = 17

Answers

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation [tex]y=-10x+17[/tex], ie is always decreasing (easy to spot applying the definition)

Meanwhile, [tex]y=e^{5x}[/tex] is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation [tex]y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2[/tex] which has no real solutions.

what is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..

(with solution)

PA HELP PO THANKYOUU~

Answers

Answer:

127/64  

Step-by-step explanation:  

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64  

add all the given and it will result to 127/64

Lashonda is on the swim team. Each week she swims a total of 9000 meters. How many kilometers does she swim each week? Be sure to include the correct unit in your answer.

Answers

Answer:

Rate is 9 kilometers (km)/week.

Step-by-step explanation:

9000 meters is 9 km (divide m by 1000 to get km)

A=2a-3b solve for b PLEASE WIKK GIVE BRAINLY

Answers

Answer:

[tex]\frac{a}{3} =b[/tex]

Step-by-step explanation:

a = 2a - 3b

→ Minus 2a from both sides

-a = -3b

→ Multiply everything by -1

a = 3b

→ Divide both sides by 3

[tex]\frac{a}{3} =b[/tex]

Answer:

b = 2/3a -1/3A

Step-by-step explanation:

A=2a-3b

Subtract 2a from each side

A-2a=2a-2a-3b

A -2a = -3b

Divide each side by -3

A/-3  -2a/-3 = -3b/-3

-A/3 + 2/3a = b

b = 2/3a -1/3A

I have tried to answer this every method I can and I can't solve it​

Answers

Answer: P1: 17.61 P2: 14.66

Step-by-step explanation:

P1: take total divide by how many numbers used : 229 divided by 13 =17.61

P2: take total divide by how many numbers used : 88 divided by 6= 14.66

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