1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erma4kov [3.2K]
3 years ago
12

Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

we are given

airthematic sequence

we can use nth term formula

a_n=a_1+(n-1)d

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

a_7=a_1+(7-1)d

40=a_1+6d

a_1+6d=40

a18 = 106

a_1_8=a_1+(18-1)d

a_1+17d=106

we can subtract both equations

a_1+17d-a_1-6d=106-40

11d=66

d=6

now, we can find a1

a_1+6d=40

we can plug d=6

a_1+6*6=40

a_1=4

12th term:

a_1_2=a_1+(12-1)d

now, we can plug values

a_1_2=4+(12-1)*6

a_1_2=4+66

a_1_2=70

so, 12th term is 70...........Answer

You might be interested in
I need help with this question on my geometry homework
Margarita [4]

Answer:

x = 250°

Step-by-step explanation:

Inscribed angle = ½(intercepted arc measure) (inscribed angles theorem)

x is intercepted arc measure

125° is the inscribed angle

Therefore:

125° = ½(x)

Multiply both sides by 2

2*125° = x

250 = x

x = 250°

7 0
3 years ago
You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed? 2x - 3y = 12
suter [353]

Answer:

A.

Step-by-step explanation:

The Elimination Method is the method for solving a pair of linear equations which reduces one equation to one that has only a single variable.

If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.

If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.

When multiplying the equation by a coefficient, we multiply both sides of the equation (multiplying both sides of the equation by some nonzero number does not change the solution).

So, option B is not allowed (it is not allowed to multiply only one part of the equation)

6 0
2 years ago
How do u factor this
PilotLPTM [1.2K]

You can factor a parabola by finding its roots: if

p(x)=x^2+bx+c

has roots x_1,\ x_2, then you have the following factorization:

p(x) = (x-x_1)(x-x_2)

In order to find the roots, you can use the usual formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

In the first example, this formula leads to

x_{1,2} = \dfrac{-2\pm\sqrt{4+4}}{2} = \dfrac{-2\pm\sqrt{8}}{2} = \dfrac{-2\pm2\sqrt{2}}{2} = 1 \pm \sqrt{2}

So, you can factor

x^2-2x-1 = (x-1-\sqrt{2})(x-1+\sqrt{2})

The same goes for the second parabola.

As for the third exercise, simply plug the values asking

f(1.5)=-5.25

you get

f(-1.5) = 1.5c-3 = -5.25

Add 3 to both sides:

1.5c = -2.25

Divide both sides by 1.5:

c = 1.5

7 0
3 years ago
Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawal
zmey [24]

Answer:  

Total interest = $28.72

New balance = $ 387.72

Explanation: Tarah has $359 in the bank. To find the amount of interest, multiply 359 by .08.

She gets $28.72 interest annually.

In one year, she will make $387.72.  (Add the total interest to her original balance)

Plz mark brainliest:)

6 0
3 years ago
One way to compute a 15% tip for a bill is to multiply the bill by 0.15. A restaurant bill was $42.40. Calculate the tip. Enter
Andreyy89

Answer:6.36

Step-by-step explanation:

Multiply the bill($42.40) by 0.15

8 0
2 years ago
Other questions:
  • Please help. I don’t understand or know how to do it.
    10·1 answer
  • A plane is traveling due north. The wind is blowing 30° east of north at 60 miles/hour. At what speed must the plane fly to trav
    10·2 answers
  • On a coordinate plane, a triangle has points J (negative 3, 9), L (negative 3, 2), and K (5, 2).
    14·2 answers
  • Slope = 4/3, (-2, 11)
    9·1 answer
  • giles is searching for a sock and discovers that he has 10 socks for every 5 pairs of shoes. if he has 20 socks how many pair of
    8·1 answer
  • Help with nine through ten please
    6·2 answers
  • Which expression is equivalent to the expression below? 3x+5(x+2)
    15·1 answer
  • What is the reduced fraction of 26/73 ?
    12·2 answers
  • Write the following as an algebraic equation. Use x as the unknov
    5·1 answer
  • Which equation is graphed here?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!