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
Nonamiya [84]
2 years ago
12

6(1) = 16 6(n) = b(n − 1) + 1 Find the 2-term in the sequence.

Mathematics
1 answer:
Tresset [83]2 years ago
6 0

Answer:

17

Step-by-step explanation:

Given

b(1)=16\\ \\b(n)=b(n-1)+1

Finding the second term of the sequence means to find b(2). To find b(2) substitute n=2 into the second expression:

b(2)=b(2-1)+1\\ \\b(2)=b(1)+1\\ \\b(2)=16+1\\ \\b(2)=17

You might be interested in
What is the area of this regular hexagon that has been divided into six congruent triangles?
Softa [21]
The answer would be 336cm^2
8 0
3 years ago
Read 2 more answers
Find the slope intercept form of the line passing through (3,9) and (0,3).
ANEK [815]

Answer:

y = 2x +3

Step-by-step explanation:

To find the slope we do (Y1 - Y2)/(X1-X2) aka rise over run

So, m = (9 - 3) / (3 - 0)

m = 2

Now we have y = 2x +b

Notice one of our points is (0,3)

Since the x value of that point is 0, it is the y intercept.

In the slope intercept form b = y-intercept

Therefore b = 3

So, y = 2x + 3

6 0
3 years ago
Devon worked for Mr.greene on four days last week.He was paid a total of $120 for the four days of work. If he worked 2 hours ea
sammy [17]
It'll be 60 if you divided there is your actually answer
8 0
3 years ago
Write the standard form of the equation for the circle that passes through the points (2,31),(-15,14),(33,0)
stepladder [879]

Answer:

Step-by-step explanation:

Begin with the standard form of a circle as a conic:

Ax^2+Bxy+Cy^2+Dx+Ey+F=0

For a circle, A and C will be the exact same, and B will equal 0.  If B is non-zero, the equation represents a rotation of a conic, which is reserved for college-level courses.  Shortening this, then:

x^2+y^2+Dx+Ey+F=0 is good enough for us for this.  Start with the first point on the circle, (2, 31) and fill in the equation above with x and y:

2^2+31^2+2D+31E+F=0 which simplifies down to:

(1):2D+31E+F=-965

Do the same with the next point on the circle, (-15, 14):

-15^2+14^2-15D+14E+F=0 which simplifies down to:

(2):-15D+14E+F=0

Do the same with the last point, (33, 0):

33^2+0^2+33D+0E+F=0 which simplifies down to:

(3):33D+F=-1089

Now we will add (1) and (2) to get (4):

 2D + 31E + F = -965

-15D + 14E + F = -421

Multiply the top equatio by -1 to get rid of the F terms:

 -2D - 31E - F = 965

-15D + 14E + F = -421

which simplifies to

(4): -17D - 17E = 544

Now add (2) and (3) to get (5):

-15D + 14E + F = -421

33D           + F = -1089

Multiply the bottom equation by -1 to get rid of the F terms:

-15D + 14E + F = -421

-33D          - F = 1089

which simplifies to

(5): -48D + 14E = 668

Now add (4) and (5) together and eliminate the E terms:

-17D - 17E = 544

-48D + 14E = 668

In order to eliminate the E terms, multiply the top equation by 14 and the bottom equation by 17 to solve for D:

-238D - 238E = 7616

-816D + 238E = 11356

Which gives you that

D = -18

Now plug the value for D into (4) to find E:

-17(-18) - 17E = 544 and

306 - 17E = 544 and

-17E = 238 so

E = -14

Now plug the values for both D and E into (1) to find F:

2(-18) + 31(-14) + F = -965 and

-36 - 434 + F = -965 and

-470 + F = -965 so

F = -495

Now we can fill in the standard form of the conic:

x^2+y^2-18x-14y=495

but we're not done til we complete the square on both the x terms and the y terms (and I am assuming you know how to complete the square):

(x^2-18x+81)+(y^2-14y+49)=495+81+49 which simplifies to

(x-9)^2+(y-7)^2=625

The second choice down matches that equation, but the center they have there is not correct.  The center of that circle is (9, 7) and they have it as being (7, 10) with a radius of 5.  The radius is 25.  The center is wrong in the equation that represents the circle as is the radius.  Maybe let someone know that...

4 0
3 years ago
Read 2 more answers
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4​ unit. How many 1/4 unit cubes
34kurt

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

4 0
2 years ago
Read 2 more answers
Other questions:
  • What do I do to solve this?
    15·1 answer
  • -4.122 as a fraction
    10·1 answer
  • How to find the first 4 terms of a sequence
    11·1 answer
  • A company has three different sites: site 1, site 2 and site 3. at site 1 70% of the employees are bu alum, at site 2 20% of the
    12·1 answer
  • How many 1/8 cups are in 4/5 cups
    8·1 answer
  • Which graph or table shows a proportional relationship? Select all that apply.
    9·2 answers
  • Noah has 10 meters of rip .How many pieces of rope length 1/2 meter can he cut from?
    14·2 answers
  • The function P(x) = –0.015x
    12·1 answer
  • Diego compro un libro y tres cuadernos,pago por ellos 180 solo recuerda que el libre le costó el doble de lo que le costaron los
    15·1 answer
  • State the degree and dominant term of this polynomial
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!