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
Nadusha1986 [10]
3 years ago
11

4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference

Mathematics
1 answer:
san4es73 [151]3 years ago
6 0

Answer:

20/3

Step-by-step explanation:

Every nth term takes the form of  a + n*d, where a is the first  term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

40 = 6d

d = 40/6

You might be interested in
A circle passes through the vertices of
Vika [28.1K]

Answer:

a) 14,1 cm

Step-by-step explanation:

If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.

We use Pytagoras Theorem to find out the length (L)  of the diagonal given that:

L²  =  (20)²  +  (20)²

L²  = 2* (20)²

L  = √2 * 20

L  = 1,4142* 20

L = 28,28 cm

L diagonal in the square is a diameter of the circle then radius of a circle is:

r = L/2   ⇒   r  = 28,28 /2   ⇒   r = 14,14 cm

3 0
4 years ago
Karen wants to buy a $22.50 jacket that is marked 20% off. Select from the drop-down menu to correctly complete the sentence. Th
nikklg [1K]

the discount is 22.5 * .2 =

round 22.5 to 20

20 *.2

Choice B

4 0
3 years ago
1) The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 2x-3 and g(x) = 3x+8. Find f(x) multiplied by g(x). 2
Elena-2011 [213]

Answer:

1)6x^2+7x-24

2) x-4

3)  f(-3)=-14 g(-3)=2 f(-3)/g(-3)=-7 and p(-3)=-3-4=-7

f(-11)=90 g(-11)=-6 f(-11)/g(-11)=-15 and p(-11)=-11-4=-15

4)f'(x)=(x-7)/3

Step-by-step explanation:

1) f(x)=2x-3 g(x)=3x+8

f(x)*g(x)=m(x)=(2x-3)(3x+8)=6x^2+16x-9x-24=6x^2+7x-24

2) f(x)=x^2+x-20 g(x)=x+5

f(x)/g(x)=p(x)=(x^2+x-20)/(x+5)=> by finding the roots of f(x) we obtain =

(x-4)(x+5)/(x+5)--->f(x)/g(x)=p(x)=(x-4)

3) f(-3)=-14 g(-3)=2 f(-3)/g(-3)=-7 and p(-3)=-3-4=-7

f(-11)=90 g(-11)=-6 f(-11)/g(-11)=-15 and p(-11)=-11-4=-15

4) If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back x

y=3x+7

(y-7)/3=x=--> f'(x)=(x-7)/3

3 0
4 years ago
What is the scale factor?
Ilya [14]
6/3=2
5.5x2 =11 scale factor is 2
5 0
4 years ago
Solve for a. |2a-10|=6
zvonat [6]

Answer:

a can equal 8 or it can equal 2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose you were able to take a large piece of paper of ordinary thickness and fold it in half 50 times. what would the height o
    11·1 answer
  • Find a polynomial function with integer coefficients that has given zeros. (There are many correct answers)
    5·1 answer
  • Antonio is 35 years old, and makes $23,500 per year. If he were to die, how
    13·2 answers
  • The graph shows the relationship between the height of a tree and its age in years. What is the unit rate of growth for the tree
    13·2 answers
  • 3x-7(4+2x)=-x+2 solve for x​
    13·2 answers
  • today the engel family went to the zoo. Admissions for each person is $50. The parking feeis $16. How many people in the engel f
    15·1 answer
  • Please help. What do I do
    7·1 answer
  • <img src="https://tex.z-dn.net/?f=e%5E4%5Ex%20-4%3D1" id="TexFormula1" title="e^4^x -4=1" alt="e^4^x -4=1" align="absmiddle" cla
    12·1 answer
  • 1) When I double my number and add 3, I get 13. WRITE AN EQUATION that represents the hint.
    10·1 answer
  • WHY IS NOBODY HELP ME I GOT 2 OTHER QUESTIONS POSTED AND NOBODY ANSWERED ME
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!