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
konstantin123 [22]
3 years ago
10

Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify the formula and reduce a

ny fractions to lowest terms.
a24=83/3 and d=4/3
Mathematics
1 answer:
NemiM [27]3 years ago
6 0

Answer:

an = 4/3n - 13/3.

Step-by-step explanation:

The first term is a1,

a24 = a1 + 23d

83/3 = a1 + 4/3* 23

a1 =    83/3 - 92/3

a1 = -9/3 = -3.

So the nth term an =  -3 + 4/3(n - 1)

an = -3 + 4/3 n - 4/3

an = 4/3n - 13/3

You might be interested in
Evaluate 9(x + 5y) for x = 2 and y = 5.
Orlov [11]

Answer:

243

Step-by-step explanation:

STEP 1: Evaluate the variables

9(2 + (5)(5))

STEP 2: Then from there you can multiply the equation

18 + 225 = 243

6 0
3 years ago
A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rat
Leona [35]

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = \dfrac{1}{2} hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

\dfrac{1}{2} hour = 30 minutes

A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

                                                    = 168 feet

The diver dove 168 feet in \dfrac{1}{2} hour. Since it is below the sea level, therefore it should be negative.

So, the rational number that represents his position relative to sea level is -168 feet.

Therefore, the correct option is D.

5 0
3 years ago
HELP ME PLEASE, ILL GIVE BRAINLIEST TO YOU Each year, the Department of Water Works measures the chloride concentration level in
Lunna [17]
- 1 1/3 - 2  1/5

= -4/3 - 11/5

= -20/15 - 33/15

= -53/15 

= -3 8/15 mg/L


3 0
3 years ago
Read 2 more answers
6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)
Yakvenalex [24]

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8):  Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

        a(4)(-4) = 8, or

            -16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

                                                        f(x) = (-1/2)(x^2 + 8x - 15)

4 0
3 years ago
On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to mow 9 lawn
alukav5142 [94]

Answer:

13 1/2 this is the answer

:)

6 0
2 years ago
Other questions:
  • The rectangle is 22cm along the base
    6·1 answer
  • Zoe needs to buy beads to make jewelry. For each earning, Zoe uses 3 small blue beads, 1 metallic bead, and 2 large green beads.
    6·2 answers
  • You are converting 8 centimeters to meters
    13·2 answers
  • josue called his father to say that was almost home. He had traveled 61.5 miles, which was 3/4 of the way home​
    9·1 answer
  • WILL GIVE BRAINLIEST!!!! <br><br> A: 122<br> B:90<br> C:48<br> D:180
    7·1 answer
  • -4y + 3x - 2x - 5y - 4<br> Combining like terms
    14·1 answer
  • A square plastic tarp has a perimeter of 68 meters. How long is each side of the tarp?
    12·2 answers
  • Simplify this expression: 3(x + 4.5) + 2(2.6x – 3)
    10·1 answer
  • I need help please help
    14·2 answers
  • Lisa cut out 36 paper snowflakes to decorate her room.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!