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
denpristay [2]
2 years ago
5

A mouse climbs up a well of 86 meters. It advances 14 meters during the night, but during the day it retreats 2. The mouse will

reach the surface on the day:
Mathematics
1 answer:
Deffense [45]2 years ago
7 0

Step-by-step explanation:

we assume day and night are equally long.

and the mouse will start at night of day 1.

then, on day 2, it will first retreat 2 meters (during daylight) and then advance 14 meters (at night).

so, on every full day, the mouse will effectively advance 12 meters (-2 + 14 = 12).

with a starting value of 14 (the first night).

so, we are getting an arithmetic sequence

an = an-1 + c

c = 12 in our case.

a1 = 14

a2 = a1 + 12 = 14+12 = 26

a3 = a2 + 12 = a1 + 12 + 12 = 14 + 2×12 = 38

an = a1 + (n-1)×12 = 14 + 12(n-1)

at what n will it reach 86 ?

86 = 14 + 12(n-1) = 14 + 12n - 12 = 2 + 12n

84 = 12n

n = 7

so, on the 7th day the mouse will reach the surface (if we truly count the first starting night day 1 - this is up to your teacher, but I would).

You might be interested in
a line passes through (9, –9) and (10, –5).write an equation for the line in point-slope form. rewrite the equation in standard
Cerrena [4.2K]
The equation of the line in point-slope form is given by:
 y-yo = m (x-xo)

 Where,
 (xo, yo): point that belongs to the line
 m: slope of the line
 The slope is given by:
 m = \frac{y2-y1}{x2-x1}
 Substituting values:
 m = \frac{-5-(-9)}{10-9}
 Rewriting:
 m = \frac{-5+9}{10-9}
 m = \frac{4}{1}
 m=4
 Now we choose an ordered pair:
 (xo, yo) = (10, -5)

 Substituting values we have:
 y-(-5)=4(x-10)
 y+5=4(x-10)
 We now rewrite the equation in its standard form:
 y = mx + b

 Where,
 b: cut with the y axis.
 We have then:
 y = 4x - 40 - 5

y = 4x - 45
 Answer:
 point-slope form:
 y+5=4(x-10)
 or
 y+9=4(x-9)
 standard form
 y = 4x- 45
3 0
3 years ago
Factor by grouping.
hram777 [196]
The correct answers are A C and B
4 0
3 years ago
Read 2 more answers
Name the algebraic property demonstrated in the example below.
VikaD [51]
The algebraic expression x • y • z = y • x • z exhibits the transitive property. Transitive property is applied when rearranging the elements or numbers within a term such that the answer or value is still the same. Transitive property is useful in factoring procedure.
3 0
3 years ago
A rectangular box is 32 cm wide and 36 cm high. If the surface area of the box is 4344 square​ centimeters, find the length of t
AnnZ [28]

To find the surface area, multiply length x width x height.

let "length" = l

l x 32 x 36 = 4344

Simplify

l x (32 x 36) = 4344

l x 1152 = 4344

Isolate the length. Divide 1152 from both sides

(l x 1152)/1152 = (4344)/1152

l = 4344/1152

l = 3.77 (rounded)

3.77 cm is your length.

hope this helps

8 0
3 years ago
the population of a town in 1995 was 60,000. the population increased by 25% in 2007.find the population in 2007.​
mixer [17]

Answer:

80,000

Step-by-step explanation:

1/4(25%)×60,000=20,000

20,000+60,000=80,000

4 0
2 years ago
Other questions:
  • HURRY ANSWER AS FAST AS YOU CAN WHO EVER FINISHES FIRST I WILL MARK BRAINIEST DONT LEAVE AN EXPLANATION JUST ANSWER
    10·2 answers
  • Which statement about the product of 7/10 and 7/8 is true
    13·1 answer
  • 18. Which ordered pair is not a solution of 3x - 5y< 30?
    10·1 answer
  • Suppose you receive $100 for a graduation present, and you deposit it in a savings account. then each week thereafter, you add $
    5·1 answer
  • If the legs of a right triangle have length 6 inches and 8 inches, what is the length of the hypotenuse in
    15·1 answer
  • The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sate
    5·1 answer
  • Someone please help????
    15·1 answer
  • If f(x)=2x, where is the y−intercept of g(x)=f(x)+4?
    15·1 answer
  • Please help<br><br> Complete the inequality for this <br> graph,<br> y
    15·1 answer
  • Please I need help <br> Will give brainlest answer !!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!