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expeople1 [14]
2 years ago
8

A cone-shaped container has a height of 6 feet and a diameter of 3 feet. It will be filled with concrete mix that costs $2.00 fo

r each cubic foot. What will be the total cost to fill the container? Use 3.14 for π . Enter your answer in the box. $
Mathematics
2 answers:
Elza [17]2 years ago
5 0
I think the answer is $113.1. The question was confusing so sorry if it’s wrong.
iris [78.8K]2 years ago
3 0

Answer:

Its $28.26

Hope this helps

Step-by-step explanation:

You might be interested in
A boat on the ocean is 2 mi from the nearest point on a straight? shoreline; that point is 15 mi from a restaurant on the shore.
Sladkaya [172]

Answer:

a) x  =  0,70 miles

T  =  1/2* (√4 + x²)  +( 15 - x )/3   Objective Function to minimize

b) V(min)  = 2.59 m/hr

Step-by-step explanation:

Let assume the boat is in Point A,  she lands in point B, and R  is the restaurant

Let call  x distance between the point O in  which perpendicular line from the boat get to shoreline, and the point were she land.

We know  distance is

d = v*t       ⇒  t = d/v

She rows at 2 miles/hr  and walk at 3 miles /hr

According to that she takes

c (hypotenuse) of right triangle  AOB/ 2 rowing

and  15 - x /3  walking

Total time is:

T  =  c/2  + ( 15-x )/3          c =√(2)² + x²     ⇒  T = [√(2)² + x²  ] /2  +  ( 15-x )/3  

T  =  1/2* (√4 + x²)  +( 15 - x )/3   (1)

And that is  the Objective function to minimize

a) Taking derivatives on both sides of the equation we get

T´(t)  =  x /( √4 + x²)  - 1/3    ⇒   T´(t)  = 0     x /( √4 + x²)  - 1/3 = 0

3*x - √( √4 + x²) = 0     ⇒  3*x  =  √( √4 + x²)

Squaring both sides

9x²  =  4 + x²     ⇒  8x²  = 4       x² = 1/2      x  =  0,70 miles

If we plug this value in the Objective function we will get the minimum time

1/2* (√4 + x²)  +( 15 - x )/3    ⇒ [√ 4  + 0,5] /2 +  14,3/3 = T (min)

T(min)  =  1.06 + 4.77  = 5.83 hr

Distance L (hypotenuse of right triangle AOR)

L = √(2)²  + (15)²   L  = 15,13 miles

And that distance have to be traveled at least in 5.83 hr rowing

Then  as  v = d/t      V(min)  =  15.13/ 5.83   ⇒    V(min)  = 2.59 m/hr

6 0
2 years ago
A pendulum is swinging next to a wall. The distance from the bob of the swinging pendulum to the wall varies in a periodic way t
Alekssandra [29.7K]

Answer:

  H(t) = 15 -6sin(2.5π(t -0.5))

Step-by-step explanation:

For midline M, amplitude A, period T and time t0 at which the function is decreasing from the midline, the function can be written as ...

  H(t) = M -Asin(2π/T(t -t0))

Using the given values of M=15, A=6, T=0.8 and t0 = 0.5, the equation is ...

  H(t) = 15 -6sin(2.5π(t -0.5))

3 0
2 years ago
Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.
Neporo4naja [7]
For this case we have a function of the form:
 y = A * (b) ^ x

 Where,
 A: initial amount
 b: growth rate (for b> 1)
 x: independent variable
 y: dependent variable
 We then have the following function:
 f (x) = 3 (2.5) ^ x

 Using the definition, the following statements are correct:
 1) The function is exponential
 2) The function increases by a factor of 2.5 for each unit increase in x
 3) The domain of the function is all real numbers
8 0
2 years ago
Read 2 more answers
Find the value of $x$ that maximizes $$f(x) = \log (-20x + 12\sqrt{x}).$$ If there is no maximum value, write "NONE".
kakasveta [241]
The function is written as:
f(x) = log(-20x + 12√x)
To find the maximum value, differentiate the equation in terms of x, then equate it to zero. The solution is as follows.

The formula for differentiation would be:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
x = (6/20)² = 9/100

Thus,
f(x) =  log(-20(9/100)+ 12√(9/100)) = 0.2553

<em>The maximum value of the function is 0.2553.</em>
5 0
2 years ago
the center of a circular sunflower with a diameter of 4 centimeters is (-2,1). Which equation represents the sunflower?
BigorU [14]
The standard equation the circle is given by:
 (x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2
 Where,
 (xo, yo): coordinates of the center of the circle
 r: radius of the circle
 Substituting values we have:
 (x - (- 2)) ^ 2 + (y-1) ^ 2 = (4/2) ^ 2
 Rewriting:
 (x + 2) ^ 2 + (y-1) ^ 2 = 4
 Answer:
 
An equation that represents the sunflower is:
 
(x + 2) ^ 2 + (y-1) ^ 2 = 4
6 0
2 years ago
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