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3 years ago

Cuanto es 1/3 mas 3/4 mas 1/2 lo necesito por favor ;_;

Mathematics

1 answer:

timurjin [86]3 years ago

3 0

Answer:

19/12= 1 7/12

Step-by-step explanation:

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A line has a slope of -2 and contains the point (1,-1). What is the equation of this line

lakkis [162]

The equation would be -2x+1 because since the slope is 2 the slope intercept equation will help you find the y. Y=-2(1)+1

6 0

4 years ago

A circle has a radius of 98 units and is centered at (5.9,6.7) write the equation of the circle

Hoochie [10]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

radius = √98

center = (5.9,6.7)

equation of the circle = ?

Step 02:

Equation of the circle

(x - a) ² + (y - b) ² = r ²

(a , b) = center

(x - 5.9) ² + (y - 6.7) ² = (√98) ²

(x - 5.9) ² + (y - 6.7) ² = 98

The answer is:

(x - 5.9) ² + (y - 6.7) ² = 98

6 0

1 year ago

A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi

mestny [16]

Answer:

Base Length of 84cm
Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, $V=x^2h=296352$

$h=\dfrac{296352}{x^2}$

Surface Area of the box = Base Area + Area of 4 sides

$A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}$

Step 2: Find the derivative of A(x)

$If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}$

Step 3: Set A'(x)=0 and solve for x

$A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84$

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

$A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6$

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

$h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42$

Therefore, the dimensions that minimizes the box surface area are:

Base Length of 84cm
Height of 42 cm.

5 0

3 years ago

What is the vertex of the parabola? y+1=−14(x−2)2 Enter your answer in the boxes.

iren [92.7K]

Answer:

y + 1 = -14(x - 2)^2y = -14(x - 2)^2 - 1

Step-by-step explanation:

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2 years ago

Tyrel is dividing 4 by 15. If he continues the process, what will keep repeating in the quotient?

kobusy [5.1K]

Answer:

i think b

Step-by-step explanation:

4 0

2 years ago

Cuanto es 1/3 mas 3/4 mas 1/2 lo necesito por favor ;_;​

Cuanto es 1/3 mas 3/4 mas 1/2 lo necesito por favor ;_;