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
Cloud [144]
2 years ago
7

If f(x)f(x) is an exponential function where f(-1)=5f(−1)=5 and f(7)=32f(7)=32, then find the value of f(4)f(4), to the nearest

hundredth
Mathematics
1 answer:
Whitepunk [10]2 years ago
5 0

Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.

<h3>What is an exponential function?</h3>

It is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change, as a decimal.

In this problem, we have that f(-1)=5, hence:

5 = ab^{-1}

\frac{a}{b} = 5

a = 5b

We also have that f(7)=32, hence:

32 = ab^7

Since a = 5b:

5b^8 = 32

b = \sqrt[8]{\frac{32}{5}}

b = 1.2612.

a = 5b = 5 x 1.2612 = 6.306.

Hence the function is given by:

y = 6.306(1.2612)^x

Then, when x = 4, we have that:

y = 6.306(1.2612)^4 = 15.95

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

You might be interested in
Find the percent of the number: 64% 75
Dima020 [189]

64% of 75 = 64/100 x 75 = 48 <==== answer

4 0
3 years ago
Read 2 more answers
Please help me with this
kobusy [5.1K]

Answer:

=  

2 1/ 18

Step-by-step explanation:

2 1/2 plus  5/9 Calculation steps: (0 + 1) +(5/9 + 1/2)  

7 0
3 years ago
Read 2 more answers
Mr. Erickson will be living in the forest
aliina [53]

<em />\huge{\boxed{60\ \text{ft}^{3}}}<em />

<em>We will assume the tent is in the shape of a triangular prism.</em>

The volume of a triangular prism can be found with the following formula, where b is the width at the base, h is the height, and l is the length.

V=\frac{1}{2}bhl

Substitute in the known values.

V=\frac{1}{2}*5*3*8

Simplify — use multiplication.

V=\frac{5}{2}*3*8

V=\frac{15}{2}*8

V=\frac{120}{2}

Simplify — use division.

V=\large{\boxed{60\ \text{ft}^{3}}}

The volume — or in this case, the amount of living space — is 60\ \text{cubic feet}.

7 0
3 years ago
**Answer quick I will mark brainliest ***
Juliette [100K]
184/525








(this is me adding characters)
5 0
3 years ago
A rectangular football field measures 50 meters by 25 meters. The football team has to run around the field 4 times during warm
Gnoma [55]

Answer:

the answer is <u>D: 600 meters</u>

Step-by-step explanation:

I got the question wrong on Khan Academy just to answer this

your welcome

<h2>Oh PLZ MAKE BRAINLIEST

</h2>
7 0
3 years ago
Other questions:
  • What is the best approximation for the circumference of a circle with a radius of 125 m?
    12·2 answers
  • The lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line​?
    12·2 answers
  • Solve each system of equations by graphing y=-1/2x+5 and y=3x-2
    12·1 answer
  • 2. A student had taken six tests and received scores of 88, 73, 81, 83, 79, 94. The seventh test
    7·1 answer
  • A sum of money is invested at 21% compounded quarterly. About how long will it take for the amount to double
    11·1 answer
  • **show your work please
    9·2 answers
  • Multiply the polynomials.
    5·1 answer
  • Solve for X showing every step. please help me​
    10·2 answers
  • Someone please help !!
    9·1 answer
  • What is the probability of drawing a queen or a heart from a standard deck of 52 cards?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!