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2 years ago

Please Help!!! Will mark brainiest

Mathematics

1 answer:

Ronch [10]2 years ago

3 0

Answer:

2304

Step-by-step explanation:(this is how I do it so sorry if people do it a different way.) so that it's easier for me I like to double the prism so it makes a square. then you take the length and with and multiply them together. that multiply what you just got by the width "length at the top". then divide your answer by 2.

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If f(x)=3 x and g(x)= 1/x , what is the domain of (g o f)(x)?

aliya0001 [1]

Answer:

The domain is (-∞ , 0)∪(0 , ∞) OR The domain is {x : x ≠ 0}

Step-by-step explanation:

* Lets revise the composite function

- A composite function is a function that depends on another function.

- A composite function is created when one function is substituted into

another function.

- Ex: f(g(x)) is the composite function that is formed when g(x) is

substituted for x in f(x).

- In the composition (f ο g)(x), the domain of f becomes g(x).

* Lets solve the problem

∵ f(x) = 3x and g(x) = 1/x

- In (g o f)(x) we will substitute x in g by f

∴ (g o f)(x) = 1/3x

- The domain of the function is all real values of x which make the

function defined

- In the rational function r(x) = p(x)/q(x) the domain is all real numbers

except the values of x which make q(x) =0

∵ (g o f)(x) = 1/3x

∵ 3x = 0 ⇒ divide both side by 3

∴ x = 0

∴ The domain of (g o f)(x) is all real numbers except x = 0

∴ The domain is (-∞ , 0)∪(0 , ∞) OR The domain is {x : x ≠ 0}

6 0

3 years ago

What is container B that is full after the pumping is complete ?

scoray [572]

Answer

68.4%

Step-by-step explanation

The volume of a cylinder is calculated as follows:

$V=\pi r^2h$

where r is the radius and h is the height of the cylinder.

In the case of cylinder A, its radius is r = 5 ft (= 10/2) and its height is h = 14 ft. Then, its volume is:

$\begin{gathered} V_A=\pi\cdot5^2\cdot14 \\ V_A=350\pi\text{ ft}^3 \end{gathered}$

In the case of cylinder B, its radius is r = 8 ft (= 16/2) and its height is h = 8 ft. Then, its volume is:

$\begin{gathered} V_B=\pi\cdot8^2\cdot8 \\ V_B=512\pi\text{ ft}^3 \end{gathered}$

After the pumping is completed all the liquid in cylinder A, which was full, is placed in cylinder B. If the volume of cylinder B represents 100%, then we need to find what percent, x, represents the volume of cylinder A. We can do this with the help of the next proportion:

$\frac{512\pi\text{ ft}^3}{350\pi\text{ ft}^3}=\frac{100\text{ \%}}{x\text{ \%}}$

Solving for x:

$\begin{gathered} 512\pi\cdot x=100\cdot350\pi \\ x=\frac{100\cdot350\pi}{512\pi} \\ x\approx68.4\text{ \%} \end{gathered}$

6 0

2 years ago

PLEASE HELP ME (look at picture) EXTRA POINTS!!!

Anvisha [2.4K]

It is kinda like a ratio blank to blank

6 0

4 years ago

RT = 60 so what is RS

Evgen [1.6K]

4x + 3x + 11 = 60
7x + 11 = 60 (Combine like terms)
7x = 49 (60-11)
x = 7 (49/7)

4x
4 (7)
28

Answer: RS = 28

6 0

3 years ago

Read 2 more answers

Assume that the growth rate of a population of ants is proportional to the size of the population at each instant of time. Suppo

Nutka1998 [239]

(1/A) dA/dt= C where A is the population of ants and C is a constant
ln(A) = C*t + C1 where C1 is another constant that comes out of integration and t is time in days.
Plugging in: at t=0, A= 100 so C1 = ln(100) = 4.605
at t=3, A=230 so ln(230) = 3*C +4.605 so C = 0.278
Final equation:
ln(A) = 0.278t + 4.605
or:
A = exp(0.278t + 4.605)
After 14 days, A = exp(0.278*14 + 4.605) = 4875.2

7 0

3 years ago