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
RUDIKE [14]
3 years ago
6

6) Find the sum of the positive terms of the arithmetic sequence 85, 78, 71, ... 1

Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:a=first term

d=common difference

here,a=85,d=-7

tn=a+(n-1)d

tn=85+(n-1)-7

tn=85+(7n+7)

92-7n=0

7n=92

n=92/7

n=13.14

n=13

Sn=(n/2)(2a+(n-1)d)

sn=13/2(2*85+(13-1)(-7)

sn=(170+(12*-7)

sn=170-84

sn=13/2*86

sn=559

Step-by-step explanation:looks like it is 7 minus previous number. So, unfortunately 7 does not divide into 85 nicely. 7*12 = 84. So, how every many numbers there are — does it stop at positive numbers only? If not, then it is negative infinity… .

85+78+71+64+57+50+43+36+29+22+15+8+1 = 559

p.s. I tried to be clever with summations (there are 13 numbers) and ran into trouble. Probably the ‘1’ at the end or the 85 at the beginning ... … 7*(summation of 1 to 13) plus an offset to account for the not divisible by 12 exactly. Didn’t work, and it was easier to just do the subtractions and add them together.

You might be interested in
Ken drew a pair of intersecting rays and marked a angle between them.
andre [41]

Answer:

Option 3 is the best option that compares the pair of intersecting rays with the angle

Step-by-step explanation:

The definition of angle says that an angle is a shape that is produced by the intersection of two rays that have a common end point.

A ray is a line segment that has only one end point and is extended infinitely in a unique direction

So Yeah. :) Hope I've helped

6 0
3 years ago
5. The dimensions, in inches, of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x - 1. T
meriva
The volume of a cuboid is given by length × width × height

We have:

Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x

Substituting these into the formula, we have:

7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6

Drawing the graph is one way of finding the solution (refer to the graph below):

We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8

Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft

Converting  0.8 ft into inches = 0.8 × 12 inches = 9.6 inches

Answer: x = 9.6 inches

7 0
3 years ago
Solve for x and y <br> 8x-2y=24
TiliK225 [7]

Answer: For y it's y=4x−12 and for x it's x=12+y/4

Step-by-step explanation:

SOLVING FOR X

8x-2y=24

2(4x−y)=24

4x−y=24/2

4x−y=12

4x=12+y

x=12+y/4

SOLVING FOR Y

8x-2y=24

2(4x−y)=24

4x−y=24/2

4x−y=12

−y=12−4x

y=−12+4x

y=4x−12

Hope this helps, have a BLESSED AND WONDERFUL DAY! As well as a great Black History Month and Valentine's day! :-)

- Cutiepatutie ☺❀❤

8 0
3 years ago
I NEED HELP ASAP BEFORE IT TIMES OUT!
padilas [110]
Ahh ok so split it up into two rectangles:

Rectangle one:
A=lw
A=4(12)
A=48

Rectangle two:
A=lw
A=10(2)
A=20

Add both areas up to get 68 ft squared!! :)
7 0
3 years ago
Read 2 more answers
I really need some help somebody
Bezzdna [24]
The answer is 3. This is because, where are you see f(x) and instead of the X it is -1, then X equals -1 and once you find the point of X negative one you’ll find the y point which is what it is looking for
8 0
3 years ago
Other questions:
  • Complete the synthetic division problem below. What is the quotient in polynomial form?
    5·2 answers
  • ***urgent***
    11·1 answer
  • Which of the following is the product of the rational expression shown below
    5·1 answer
  • What three points do i graph please anwser
    9·1 answer
  • He gets paid a car travel allowance of 75 cents per kilometre travelled.
    8·2 answers
  • What is the value of f in the equation f+1/6=3/7
    12·2 answers
  • Find the domain of f/g f(x)= sqrt 4-x^2 g(x)= sqrt 3x+4
    14·1 answer
  • Help me ASAP for this question
    5·1 answer
  • Which ordered pair is a solution for 3x + 4y &lt; 12?
    10·1 answer
  • Which equation is true? 9x2 – 25 = (3x – 5)(3x – 5) 9x2 – 25 = (3x – 5)(3x 5) 9x2 – 25 = –(3x 5)(3x 5) 9x2 – 25 = –(3x 5)(3x – 5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!