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
tia_tia [17]
3 years ago
13

joseph has a new rectangular aquarium. the aquarium has a length of four feet, width of two feet and height of two feet. What is

the volume of Joseph's new aquarium? An aquarium holds one inch in lenght of fish for each twelve square inches of the area of the base of the aquarium. The fish Joseph wants to put in the new aquarium are about three inches in length. About how many fish can Joseph put in the new aquarium?
Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0
12 inches go into one foot, so we can calculate the volume of the tank in inches to make the calculations that follow easier. Therefore, to calculate the volume of the tank, we use length x breadth x height = 4 x 2 x 2 = 16 square feet x 12 for square inches = 192 square inches. 
Every 12 square inches Joseph can fit a one inch fish. The fish that he has are 3 inches long, therefore he can only fit one fish every 36 square inches. 
That means that if we take the total volume of the tank and divide it by the space that a 3 inch fish will take up, we are left with 192/36 = 5.3 fish.
You cannot have a third of a fish, so we round off to the nearest whole number, and we determine that Joseph can put 5 fish in his new aquarium.
You might be interested in
Which is true regarding the graphed function f(x)?
serg [7]

Answer:

f(5)=-1

Step-by-step explanation:

4 0
3 years ago
What is 0.11 as a fraction in simplest form
bazaltina [42]
11 hundredths , or 11/100
3 0
3 years ago
X
KatRina [158]

Answer:

B (2,6,10,14)

Step-by-step explanation:

I think C and D are imposible to be the answer.

A and B are 50% to be the answer.

But I choose B.

6 0
2 years ago
Giving Out Brainliest<br><br> Answer Asap<br><br> thx
solong [7]
Answer
4x+2=7x-25
27=3x
x=9
3 0
2 years ago
Read 2 more answers
Use the definition of a Taylor series to find the first three non zero terms of the Taylor series for the given function centere
Ket [755]

Answer:

e^{4x}=e^4+4e^4(x-1)+8e^4(x-1)^2+...

\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n

Step-by-step explanation:

<u>Taylor series</u> expansions of f(x) at the point x = a

\text{f}(x)=\text{f}(a)+\text{f}\:'(a)(x-a)+\dfrac{\text{f}\:''(a)}{2!}(x-a)^2+\dfrac{\text{f}\:'''(a)}{3!}(x-a)^3+...+\dfrac{\text{f}\:^{(r)}(a)}{r!}(x-a)^r+...

This expansion is valid only if \text{f}\:^{(n)}(a) exists and is finite for all n \in \mathbb{N}, and for values of x for which the infinite series converges.

\textsf{Let }\text{f}(x)=e^{4x} \textsf{ and }a=1

\text{f}(x)=\text{f}(1)+\text{f}\:'(1)(x-1)+\dfrac{\text{f}\:''(1)}{2!}(x-1)^2+...

\boxed{\begin{minipage}{5.5 cm}\underline{Differentiating $e^{f(x)}$}\\\\If  $y=e^{f(x)}$, then $\dfrac{\text{d}y}{\text{d}x}=f\:'(x)e^{f(x)}$\\\end{minipage}}

\text{f}(x)=e^{4x} \implies \text{f}(1)=e^4

\text{f}\:'(x)=4e^{4x} \implies \text{f}\:'(1)=4e^4

\text{f}\:''(x)=16e^{4x} \implies \text{f}\:''(1)=16e^4

Substituting the values in the series expansion gives:

e^{4x}=e^4+4e^4(x-1)+\dfrac{16e^4}{2}(x-1)^2+...

Factoring out e⁴:

e^{4x}=e^4\left[1+4(x-1)+8}(x-1)^2+...\right]

<u>Taylor Series summation notation</u>:

\displaystyle \text{f}(x)=\sum^{\infty}_{n=0} \dfrac{\text{f}\:^{(n)}(a)}{n!}(x-a)^n

Therefore:

\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n

7 0
1 year ago
Other questions:
  • 27 to the power of 3x=81
    10·1 answer
  • What is the measure of
    13·1 answer
  • I need help finding this answer to this inequality -10[9-2x]-x≤2x-5
    7·1 answer
  • ^^^ 30 points I need help with this problem!
    5·1 answer
  • Tierra rode in a bike-a-thon. Her sponsors donated $7 for every 5 miles she biked. At the end of the bike-a-thon, Tierra had rai
    8·1 answer
  • Solve the system of equations: y= 3x y= x^2 - 4
    11·1 answer
  • The figure has an area of 193.5 cm2. Which equation can be used to find the value of n, in centimeters?
    15·1 answer
  • Which of the following expressions can be used to find how many meters it is from Washington, D.C.,To Baltimore
    7·1 answer
  • Callie made 24 cake pops for her neighbor. If it costs $1.25 to make one cake pop, how much did it cost to make 24 of them?
    15·1 answer
  • WILL GIVE BRAINLYEST!!!. Clara visits the aquarium while on vacation. The aquarium is 2 1/2 miles from her hotel. She walks 1/4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!