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
vodka [1.7K]
3 years ago
7

Find the 99th term of the arithmetic sequence 2, -3, -8,...

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

Answer:

the sequence is by -5

therefore the next numbers are

-13,-18,-23,-28

You might be interested in
The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam
irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

4 0
3 years ago
A dilation with a scale factor of 4 is applied to the three line segments shown. The resulting images are P'Q', A'B', and M'N' D
alexira [117]

Answer:

1st into the 3rd 2nd into 1st 3rd into 3rd

Step-by-step explanation:

8 0
2 years ago
7x+3+6x+11 i need help solving this problem
____ [38]
Step-by-step solution:

7x + 3 + 6x + 11 = 0

7x + 6x + 11 + 3 = 0

13x + 11 + 3 = 0

13x + 14 = 0

13x = 0 - 14

13x = -14

x = -14 / 13

x = -1.077 approx.




Hope it helped,



BioTeacher101
8 0
3 years ago
PLEASE HELP!!!!<br> I need to solve for a, b, and c
nirvana33 [79]

Answer:

  • 25000 seats in section A
  • 14100 seats in sectin B
  • 10900 seats in section C

Step-by-step explanation:

The problem statement tells you half the total number of seats are in section A, so you already know that there are 25000 A seats. The revenue from those seats is

... 25000×$25 = $625,000

so the revenue from B and C seats must total

... $1,070,500 - 625,000 = $445,500

If all 25000 of the B/C seats were C seats, the revenue would be

... 25000×$15 = $375,000

The actual revenue from those seats is $445,500 -375,000 = $70,500 more than that. We know each B seat generates $5 more revenue, so there must be ...

... $70,500/$5 = 14,100 . . . . B seats

Then the balance of the 25000 B and C seats are C seats:

... 25,000 - 14,100 = 10,900 . . . . C seats

_____

<em>Alternate Solution Method</em>

The new Brainly answer format requires the answer be supplied before the working. In order to find the answer quickly so that I can fill in that section, I used a matrix method for solving the problem. The problem equations can be written ...

  • a + b + c = 50000
  • a - b - c = 0
  • 25a + 20b + 15c = 1070500

so the augmented matrix is ...

\left[\begin{array}{cccc}1&1&1&50000\\1&-1&-1&0\\25&20&15&1070500\end{array}\right]

A graphing calculator can be used to find the solution to this, generally using a function that produces the reduced row-echelon form. The attachment shows the solution using a TI-84 calculator.

___

<em>Comment on the Working</em>

Since the number of A seats is equal to the total of B and C seats, the number of A seats must be half the total number of stadium seats. Having figured that out, the problem is reduced to one of finding the mix of B and C seats that will produce the remaining revenue.

As with many mixture problems, it is convenient to look at differences. Start with the assumption that all of the desired revenue comes from the least contributor. Here, that is C seats. Then figure the difference that using a B seat makes ($20 -15 = $5) and the difference of the actual revenue and the amount that you got by assuming all C seats: 445,500 -375,000 = 70,500. Since replacing a C seat by a B seat adds $5 to the revenue, it is easy to figure the number of such replacements required in order to raise the revenue by $70,500.

If you write the equation for B seats, you find the solution to the equation mirrors this verbal description:

... 20b + 15(25000-b) = 445,500

... 5b = 445,500 - 375000 . . . . simplify, subtract 375000

... b = 70500/5 = 14100

8 0
3 years ago
A) 3y = 43 + x<br><br> b) 8y + 5x = 61
3241004551 [841]

Answer:

huh

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Cell phones can weigh as little as 2 ounces. How many pounds can the cell phone weigh?
    6·1 answer
  • How do you work out the hypotenuse
    8·1 answer
  • A soccer field is rectangular and measures 100 yards by 60 yards. a soccer ball is randomly kicked onto the field. if it is equa
    15·1 answer
  • Air traffic controllers are required to undergo random drug testing. A urine test detects the presence of amphetamines and barbi
    12·1 answer
  • *MARKING BRAINLIEST*
    13·1 answer
  • Topic - Solving Linear Inequalities.
    14·1 answer
  • Solve questions 1-3.Show your work.
    5·2 answers
  • 1/4 x __ = 1/2 = ? <br> I need this answered ASAP, it's 80% of my grade <br> PLEASE helppppppp
    8·2 answers
  • Simplify: (x - 8) (x + 8) *
    12·1 answer
  • Quadrilateral JKLM is graphed with vertices at J(-2,2), K(-1,-5), L(4,0), and M(3,7).
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!