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
Luden [163]
2 years ago
11

Find an approximate equation y=ab^x with the coordinates (0, 4) (3, 95)

Mathematics
1 answer:
bogdanovich [222]2 years ago
7 0
We have y=ab^{x}

Plug in (0, 4):
4=ab^{0}⇒4=a
So we now have a

Plug in (3, 95):
95=4b^{3}
⇒b^{3}=\frac{95}{4}
⇒b=\sqrt[3]{\frac{95}{4}}
which is approximately 2.874

So we get
y=4(\sqrt[3]{\frac{95}{4}})^{x}
or, in decimal form,
y=4*2.874^{x}
You might be interested in
How many dimensions does a line segment have​
Natalija [7]

Answer:

A line segment has one dimensions.

Step-by-step explanation:

A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

Dimension is an aspect or feature of an object.

A line segment, let us say AB has two endpoints and has only one measurable feature that is its length which is actually the distance between the two end points A and B.

Hence, a line segment is one-dimensional.

4 0
3 years ago
30 POINTS NO CAP PLEASE HELP NEED RIGHT ANSWER
stellarik [79]

Answer: y = 2/3x - 1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Ryan flew from Wiley Post to Ponca City and back. Ryan maintained an average rate of 450 mph going to Ponca City and an average
Reil [10]
The answer is B, and here's why.  Set up a table for "there" and "back" and use the distance = rate * time formula, like this:
               d             r            t
there       d           450         t
back        d           400        1-t

Let me explain this table to you.  The distance is d, we don't know what it is, that's what we are actually looking for.  We only know that if we go somewhere from point A to point B, then back again to point A, the distance there is the same as the distance back.  Hence, the d in both spaces.  There he flew 450 mph, back he flew 400 mph.  If the total distance was 1 hour, he flew an unknown time there and one hour minus that unknown time back.  For example, if he flew for 20 minutes there, one hour minus 20 minutes means that he flew 60 minutes - 20 minutes = 40 minutes back.  See? Now, because the distance there = the distance back, we can set the rt in both equal to each other.  If d = rt there and d = rt back and the d's are the same, then we can set the rt's equal to each other.  450t = 400(1-t) and
450t = 400 - 400t and 850t = 400.  Solve for t to get t = .47058.  Now, t is time, not the distance and we are looking for distance. So multiply that t value by the rate (cuz d = r*t) to get that the distance one way is
d = 450(.470580 and d = 211. 76 or, rounded like you need, 212.
4 0
2 years ago
What is the total cost of a $44.55 meal at a restaurant after including a 17% tip? SHOW WORK!
mrs_skeptik [129]

You can solve this in 2 easy steps: 1, multiply 44.55 by .17 (44.55 * .17 = 7.57) then adding the number you get to 44.55 (44.55 + 7.57 = 52.12). Your answer is D.

3 0
3 years ago
Read 2 more answers
Clare is paid $90 for 5 hours of work. At thos rate how many seconds does i take for her to earn 25 cents?
natka813 [3]

We are given

Clare is paid $90 for 5 hours of work

Total money paid =$90

total hours of work =5 hours

so, firstly  we will find rate of work

rate of work = ( total money paid)/( total hours of work)

now, we can plug values

and we get

The rate of work is

=\frac{90}{5}

=18 $/ hour

now, we have to find time for amount paid is 25 cents

so, amount paid =25 cents

100 cents =1$

so, amount paid =$ 0.25

Since, the rate is constant

so, we can take same rate here

now, we can use formula

rate of work = ( total money paid)/( total hours of work)

now, we can plug values

18=\frac{0.25}{T}

now, we can solve for T

T=\frac{0.25}{18} hour

since, T is in hours

so, we can change into seconds

1 hour =3600seconds

so, we can plug

T=\frac{0.25}{18}\times 3600 seconds

T=50 seconds......................Answer


6 0
3 years ago
Other questions:
  • Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions coul
    8·2 answers
  • What is the solution of -3=r-4/6
    9·1 answer
  • What is the simplest form for 10/25 ?
    6·2 answers
  • A plane flying at a certain altitude is observed from two points that are 2.2 meters apart. The angles of elevation made by the
    10·1 answer
  • rick won 27 tickets playing a game to get the prize he needs to win at least 30 tickets how many more tickets can he win to get
    5·1 answer
  • A 140 kg is attached to a crane, which moves the load vertically. Calculate the tension in the cable
    12·1 answer
  • Write an inequality that represents the verbal expression.
    15·1 answer
  • Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the s
    14·1 answer
  • Fill in the blanks to write this function when x=3
    8·1 answer
  • For every three girls taking classes at a martial arts school, there are 4 boys who are taking classes. If there are 236 boys ta
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!