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
Anika [276]
3 years ago
11

How many terms of the arithmetic sequence {-4,-2, 0, ....} will give a sum of 500?

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

a. 25

Step-by-step explanation:

Sₙ = n/2 * (2 * a₁ + (n-1) * d)

Sₙ = 500     a₁ = -4    d = 2

500 = n/2 * (-8 + (n-1) * 2) = n/2 * (-8 + 2n - 2) = n/2 * (2n - 10) = n² -5n

n² - 5n -500 = 0

(n - 25) (n + 20) = 0

n > 0

n = 25

You might be interested in
A total of 5000 is invested part at 10% and the remainder at 15%. How much is invested at Each rate if the annual interest is $6
vekshin1

Answer:Let the amount invested in each be

A and B

A+B=5000

0.1A+0.15B=630

0.1(5000-B)+0.15B=630

500-0.1B+0.15B=630

0.05B=130

B=2600

A=2400

Step-by-step explanation:

3 0
3 years ago
Does 2, square root of 2, and square root of 2 make a right triangle
garik1379 [7]
Yes it does because in order to find out if a triangle is a right triangle, you can use the Pythagorean theorem.
sqrr 2 squared + sqrr 2 squared= 2 squared
simplify this:
2+2=4
because the equation is correct, this can make a right triangle
8 0
3 years ago
What is y = x+ 3 on a graph look like?
balandron [24]

Answer:

(shown in picture)

Step-by-step explanation:

6 0
3 years ago
A Little help here 2!!
harina [27]

Answer:

Unit rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.

In the given table shows the number of pictures taken and how much time it took.

For first camera;

Number of pictures (unit rate) per second = \frac{15}{3} =5 pictures.

For second Camera:

Number of picture per second = \frac{48}{8} =6 pictures.

For third Camera:

Number of picture per second = \frac{18}{6} =3 pictures.

The camera that takes picture the fastest is, Second Camera.

(a)

As per the given statement: At Davidson's Bike rentals, it costs $29 to rent a bike for 8 hour.

⇒ unit rate per dollar = \frac{Number of hours }{Total cost} = \frac{8}{29} = 0.2758620 hours

Therefore, 0.227 hours (nearest to hundredths) of bike use does a customer get per dollar.

(b)

Jessica bought 18 pounds of sugar for $10.

unit rate per dollar = \frac{18}{10} =1.8 pounds

therefore, 1.8 pounds of sugar did she get per dollar.



4 0
3 years ago
Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente
Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   No singular point due to the exponent in the solution

    The interval is   -\infty

b

   NONE

Step-by-step explanation:

From the question we are told that

     \frac{dy}{dx} =  9y

The generally solution is mathematically represented as

         \frac{dy }{dx}  =  9y

=>       \frac{dy}{y}  =  9dx

integrating both sides  

         \int\limits  {\frac{ dy}{y} } \,  = \int\limits  {9} \, dx

  =>   lny = 9x + c

 =>   y =  e^{9x +c }

 =>    y =  e^{9x} e^{c}

Here e^c  =  C

=>     y = C  e^{9x}

From the above equation we see that the domain for x has no singular point the interval is

       -\infty

Also there is no transient term in the general solution obtained because as  x \to \infty there no case where y \to 0

7 0
3 years ago
Other questions:
  • The graph shows the relationship between hours spent on video games and hours spent on homework last week for students in Joyce'
    12·2 answers
  • The equation 8 − 4x = 0 has real solution(s).
    14·2 answers
  • What is the answer to 5
    9·2 answers
  • 5x-2y+3z-2x-y+4z solve
    13·2 answers
  • The polynomial 15xy+3x^3y^4 is what degree?
    10·1 answer
  • Divide (x^2-16/x-1)/x+4
    10·1 answer
  • Help me please answer as quickly as possible
    12·1 answer
  • 7
    6·1 answer
  • Perform the operation (x^2+8x+8)+(-10x^2+5x)
    12·2 answers
  • Can you solve this triangle:<br> m∠B=47°<br> a=24<br> b=22<br> Please show work, too. Thanks
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!