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3 years ago

1. Mr. Jaime Go is building an additional cylindrical aquarium to add more

Mathematics

1 answer:

lianna [129]3 years ago

3 0

Answer:

v=pi * rayon² * h

v= 3.14 * 3² *4

v= 3.14 * 9 * 4

v= 113.04

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How do I reflect this over y=1?

Semenov [28]

The orange is the original and the blue is the reflection over y=1

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3 years ago

Read 2 more answers

How many meters are in a exameter?

xz_007 [3.2K]

Answer:

1E18 OR 10^18

Step-by-step explanation:

The formula is multiply the length by 1e+18

8 0

3 years ago

Could you help me to solve the problem below the cost for producing x items is 50x+300 and the revenue for selling x items is 90

s344n2d4d5 [400]

Answer:

Profit function: P(x) = -0.5x^2 + 40x - 300

profit of $50: x = 10 and x = 70

NOT possible to make a profit of $2,500, because maximum profit is $500

Step-by-step explanation:

(Assuming the correct revenue function is 90x−0.5x^2)

The cost function is given by:

$C(x) = 50x + 300$

And the revenue function is given by:

$R(x) = 90x - 0.5x^2$

The profit function is given by the revenue minus the cost, so we have:

$P(x) = R(x) - C(x)$

$P(x) = 90x - 0.5x^2 - 50x - 300$

$P(x) = -0.5x^2 + 40x - 300$

To find the points where the profit is $50, we use P(x) = 50 and then find the values of x:

$50 = -0.5x^2 + 40x - 300$

$-0.5x^2 + 40x - 350 = 0$

$x^2 - 80x + 700 = 0$

Using Bhaskara's formula, we have:

$\Delta = b^2 - 4ac = (-80)^2 - 4*700 = 3600$

$x_1 = (-b + \sqrt{\Delta})/2a = (80 + 60)/2 = 70$

$x_2 = (-b - \sqrt{\Delta})/2a = (80 - 60)/2 = 10$

So the values of x that give a profit of $50 are x = 10 and x = 70

To find if it's possible to make a profit of $2,500, we need to find the maximum profit, that is, the maximum of the function P(x).

The maximum value of P(x) is in the vertex. The x-coordinate of the vertex is given by:

$x_v = -b/2a = 80/2 = 40$

Using this value of x, we can find the maximum profit:

$P(40) = -0.5(40)^2 + 40*40 - 300 = $500$

The maximum profit is $500, so it is NOT possible to make a profit of $2,500.

3 0

3 years ago

there are 6 minutes of commercials for every 24 minutes of television how many minutes of commercials are there in one hour and

Nitella [24]

Answer:

24

Step-by-step explanation:

1 hour and 36 minutes = 60 minutes + 36 minutes = 96 minutes

6/24 = x/96

24x = 6 * 96

24x = 6 * 4 * 24

x = 24

3 0

3 years ago

11th grade geometry:

Aliun [14]

Answer:

The perimeter is 72 units and the area is 149 square units.

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. (Rounded to the nearest unit)

The height of the triangle for the corresponding base $SB$ is 8.89 units.

Formula for the Area of triangle, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. (Rounded to the nearest unit)

3 0

3 years ago