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
Aleksandr-060686 [28]
4 years ago
12

Find the 6th term of a geometric sequence t3 = 444 and t7 = 7104.

Mathematics
2 answers:
Alina [70]4 years ago
6 0
If we divide the 7th term by the third it gives us r^4   (  common ratio to power 4).

r^4 = 7104/444 =   16

so r =  4th root of 16  = 2

So 6th term will be the 7th term / 2 = 7104 / 2 =  3552

hichkok12 [17]4 years ago
5 0
Given the value of t3 and t7, and t7 = t3 * r^4, where r represents the geometric quotient. 

So 7104 = 444 * r^4 -> solve for r, you will get r = 2 or -2

So, for r = 2, t6 = t7 / r = 7104 / 2 = 3552

For r = -2, t6 = -3552
You might be interested in
What is the value of x?<br> (x + 40)<br> (3x)<br> O 20<br> R<br> O<br> O 35<br> O<br> O<br> ASAP
Natasha2012 [34]

Angles TRS and VRW are vertical angles, so we can set them equal to each other to get x:

x+40=3x

40=2x

20=x

So the value of x is 20

3 0
3 years ago
Find the vector and parametric equations for the line through the point P(0, 0, 5) and orthogonal to the plane −1x+3y−3z=1. Vect
yulyashka [42]

Answer:

Note that orthogonal to the plane means perpendicular to the plane.

Step-by-step explanation:

-1x+3y-3z=1 can also be written as -1x+3y-3z=0

The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).

Let us find a point on this  line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively

Therefore, the vector equation is given as:

-1(x-0) + 3(y-0) + -3(z-5) = 0

-x + 3y + (-3z+15) = 0

-x + 3y -3z + 15 = 0

Multiply through by - to get a positive x coordinate to give

x - 3y + 3z - 15 = 0

4 0
3 years ago
Pls help I will give brainliest ​
Radda [10]

its B. 50°

Triangle Have 180°

  • 180 - 90 = 90
  • 90 × 2 = 180

Half of triangle Have 90°

  • 90° - 40° = 50°

5 0
3 years ago
A motorboat takes 3 hours to take a 60 mile trip downstream. It takes 5 hours to make the same trip upstream. Let x represent th
Leni [432]
THE RATE OF THE BOAT BELOW IS 5: 100
5 0
3 years ago
Tom and Bob have a total of 49 toys if Bob has 5 more toys than Tom, how many toys does each one have
pickupchik [31]
49 + 5 = 54

So the answer is 54
5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the system. find x,y, and z please show all steps<br><br> x-y+z=1<br> x+y+3z=-3<br> 2x-y+2z=0
    9·1 answer
  • HALP PLS HALP!!!!!
    10·2 answers
  • At president Obama's inauguration in 2013,the newspaper headlines stated there were about 800,000 people in attendance. if the n
    6·2 answers
  • 'X' years ago, Rakesh's age was twice his brother's age and '4X' years ago, Rakesh's age was thrice his brother's age. If it is
    13·1 answer
  • Does at the most mean greater than
    5·2 answers
  • Problem Solving
    12·1 answer
  • Need help with this one question
    11·1 answer
  • Avram borrows $14,500 at 5.4% simple interest to open a small business. His bank allows him 9 years to pay back the loan. How mu
    6·1 answer
  • Who here wants to play a really cool game on a computer?
    11·2 answers
  • Complete the equation.<br> (4x)−2(4x)3(4x)9=(4x)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!