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
s344n2d4d5 [400]
2 years ago
8

The first term of an arithmetic progression is 80 and the common difference is -3. what is the greatest possible sum of the firs

t n terms of this sequence, and for which value of n does it occur?
I need help with this question, in advance thank you :)​
Mathematics
1 answer:
ikadub [295]2 years ago
5 0

Answer:

S=157

Step-by-step explanation:

an= a1+(n-1)d

a2=80+(2-1)(-3)

a2=80-3

a2=77

Sn=(a1+an)*n/2

S2=(80+a2)*2/2

S2=(80+77)*1

S2=157

You might be interested in
What is the determinant of the coefficient matrix of this system? <br> 4x-3y=-8 <br> 8x-3y=12
gladu [14]

The coefficient matrix is build with its rows representing each equation, and its columns representing each variable.

So, you may write the matrix as

\left[\begin{array}{cc}\text{x-coefficient, 1st equation}&\text{y-coefficient, 1st equation}\\\text{x-coefficient, 2nd equation}&\text{y-coefficient, 2nd equation} \end{array}\right]

which means

\left[\begin{array}{cc}4&-3\\8&-3\end{array}\right]

The determinant is computed subtracting diagonals:

\left | \left[ \begin{array}{cc}a&b\\c&d\end{array}\right]\right | = ad-bc

So, we have

\left | \left[\begin{array}{cc}4&-3\\8&-3\end{array}\right] \right | = 4(-3) - 8(-3) = -4(-3) = 12

8 0
3 years ago
Deacon wants to order DVDs. Each DVD costs $12.95, and he must pay a shipping and handling fee of $4.95 for the entire order. De
eduard

Answer:

12.95a + 4.95 ≤ 75

Step-by-step explanation:

Given:

Cost of each DVD = $12.95

Total shipping fee = $4.95

Total amount as gift card = $75

Find;

Inequality

Computation:

Assume;

Number of DVD he purchase = a

So,

Total amount as gift card ≥ (Cost of each DVD)(Number of DVD he purchase ) + Total shipping fee

75 ≥ (12.95)(a) + 4.95

12.95a + 4.95 ≤ 75

6 0
2 years ago
Find the volume of this sphere.<br> Use 3 for TT.<br> V<br> V [?]ft3<br> V = Tr3<br> 16ft
Vedmedyk [2.9K]

Answer:

well the volume of a sphere is V = 4/3 x pie x r3 so the radius is half of the diameter so that would be 8 not going to show work but the answer is 2144.66

8 0
3 years ago
Choose one of the squares facts from problem 1?
egoroff_w [7]
I think you forgot to put in the image
8 0
2 years ago
You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your
lbvjy [14]

Answer:

1/4 or 25%

Step-by-step explanation:

The probability for rolling an odd number is 50% or  \frac{1}{2} because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). \frac{3}{6} =\frac{1}{2}

The probability for rolling two odd numbers in a row is

\frac{1}{2} *\frac{1}{2} =\frac{1}{4}

So, the probability of rolling an odd number twice is 25% or  \frac{1}{4}.

8 0
3 years ago
Other questions:
  • What are the solutions of x^2=13x-4
    5·1 answer
  • A B C D E Confirm Supplies for last year cost $1,477, which was $177 over budget. Rounded to the nearest 1%, by what percent did
    7·1 answer
  • What is 195 squared to the nearest integer
    6·2 answers
  • I neeed help please !!!!
    6·2 answers
  • HELP ME ASAP! PLS!!!!
    6·2 answers
  • What plus what equals 500
    11·2 answers
  • if -2 is a root of the equation 3x2 +7x + p = 0, find the values of k for which the roots of the equation x2 + k(4x + k - 1) + p
    6·1 answer
  • Help me on number 24 plss
    12·1 answer
  • A bird is at the top of a tree 8 meters tall. You are on the ground, 10 meters away from the bird. How far are you
    6·1 answer
  • If I multiply any number by 1 whole, my product will be:
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!