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
ruslelena [56]
3 years ago
8

The nth term of a sequence is 6 - n work out the first three terms and the 20th term of the sequence.

Mathematics
1 answer:
timurjin [86]3 years ago
3 0

Step-by-step explanation:

a_n=6-n

➜a_1=6-1

<h3>➜5</h3>

➜,a_2=6-2

<h3>➜4</h3>

➜a_3=6-3

<h3>➜3</h3>

➜a_20=6-20

<h3>➜-14</h3>
You might be interested in
The width of jays original photo is 8 inches. The length of the original photos is 10 inches. He prints a smaller version that h
aleksandrvk [35]
I'm guessing the answer is 6in.
because the original width of the photo is 8in-4in 
which is 4in.
and 8 to 10 is a difference of 2 
so add 2 to 4 
its 6
8 0
3 years ago
find the equation of straight line which passes through the point of intersection of straight lines.x+2y+3=0 and 3x+4y=7 and par
erastovalidia [21]

Answer:

Equation of the line in question: y = x - 21.

Step-by-step explanation:

Start by finding the intersection of the two straight lines. The equation for both lines shall hold at their intersection. (Using the idea of the Gaussian Elimination.)

\left\{\begin{aligned}&x + 2y =-3\\&3x + 4y=7\end{aligned}\right..

Add -3 times the first equation to the second:

\left\{\begin{aligned}&x + 2y =-3\\& -2y=16\end{aligned}\right..

Add the second equation -2y=16 to the first:

\left\{\begin{aligned}&x = 13\\&y=-8\end{aligned}\right..

Hence the intersection of the two lines will be (13, -8).

Now, find the slope of that straight line. y - x = 8 is equivalent to y = x +8. The slope of that line is equal to 1. So will be the slope of the line in question.

Apply the point-slope form of a line on a Cartesian plane:

  • Point: (13, -8),
  • Slope: 1.

Equation of the line:

(y - (-8)) = (x - 13).

Simplify to obtain:

y = x -21.

7 0
4 years ago
The equation y 4.9t 2 3.5t 2.4 relates the height y in meters to the elapsed time t in seconds for a ball thrown downward at 3.5
tamaranim1 [39]

Answer:

t \approx 0.43\,s

Step-by-step explanation:

The vertical displacement function is y(t) = -4.9\cdot t^{2}-3.5\cdot t + 2.4, where y(t) is measured in meters and t in seconds. Ball hits the ground when y(t) = 0. That is:

-4.9\cdot t^{2}-3.5\cdot t + 2.4 = 0

Whose roots can be found by using the General Formula for Second-Order Polynomials:

t_{1,2} = \frac{3.5\pm \sqrt{(-3.5)^{2}-4\cdot (-4.9)\cdot (2.4)} }{2\cdot (-4.9)}

Solutions of this polynomial are:

t_{1} \approx 0.43\,s,t_{2} \approx -1.14\,s

Only the first root is physically consistent.

3 0
3 years ago
a machinest can produce 114 parts in 6 minutes.at this rate,how many parts can the machinist produce in 15 minutes
JulsSmile [24]

The first thing we need to do is find the rate of parts for 15 minutes.

So, we divide 114 parts per 6 minutes and get 19 parts per minute


Then we multiply this rate per minute by 15 minutes

The answer is 285


Attached Work Below:

Part1\\114\div6=19\\\\Part 2\\19\times15=285

7 0
3 years ago
Read 2 more answers
Otis paints the interior of a home for $45 per hour plus $75 for supplies. Shireen paints the interior of a home for $55 per hou
riadik2000 [5.3K]

Step-by-step explanation:

you should only make one equation:

75 + 45x = 30 + 55x

subtract the 30 frim both sides, then subtract 45x from both sides. you are left with:

45 = 10x

Divide by 10 and get:

4.5 = x

After 4.5 hours, the cost is equal for either worker.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22
    14·1 answer
  • Twelve people are standing in line to buy movie tickets. The theater is running a promotion by giving away 2 concession stand gi
    9·1 answer
  • How do you find the eqivalent mixed number for 50/7?
    10·2 answers
  • What is the order of rotational symmetry for a rhombus?
    10·2 answers
  • Is this the right answer....???????
    11·1 answer
  • A force of 120 N is applied to an object that accelerates at a rate of 2 m/sec2. What is the mass of the object?
    13·1 answer
  • WX is parallel to YZ. If the measure of
    5·1 answer
  • 2 3/10x-5/7y-4 5/6y-2 4/5x
    13·1 answer
  • Find the slope of the line represented by the data below <br><br> slope=
    9·2 answers
  • What is the slope of line m?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!