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3 years ago

How do I solve this equation?

Mathematics

1 answer:

kow [346]3 years ago

8 0

Answer: 2 * sqrt(2)

I attached an image to show you what I mean

Step-by-step explanation:

First add 20 on both sides

5x^(2 / 3) = 10

divide both sides by 5

x^(2 / 3) = 2

Now be reminded that the power of 2/3 is the same as x^2 cube root (to the third root)

So we now cube both sides to get rid of the cube root

x^2 = 2^3

which simplifies to x^2 = 8

We now just find the square root of both sides

so x = sqrt(8)

square root of 8 is simply sqrt(4 * 2) = sqrt(4) * sqrt(2) = 2 * sqrt(2)

So x = 2 * sqrt (2)

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Find the area of the figure. Round to the nearest tenth if necessary.

r-ruslan [8.4K]

Area = area of rectangle - area of 2 hemispheres
= 24 * 32 - pi * 12^2
= 315.6 sq units

5 0

3 years ago

A group of friends go out for lunch. If they order 2 hot dogs and 4 cheeseburgers, the bill will

Trava [24]

Answer:

$2.75 = cost of a hot dog

$4.50 = cost of a cheeseburger

Step-by-step explanation:

Let x = cost of a hot dog

y = cost of a cheeseburger

(1) 2x + 4y = 23.5 (2) 5x + y = 18.25

y = 18.25 - 5x

2x +4(18.25 - 5x) = 23.5

2x + 73 - 20x = 23.5

-18x + 73 = 23.5

-18x = -49.5

x = 2.75 y = 18.25 - 5(2.75)

y = 18.25 - 13.75

y = 4.50

$2.75 = cost of a hot dog

$4.50 = cost of a cheeseburger

8 0

2 years ago

Suppose y varies directly with x when x is 4, y is 32. What is y when x is -2

omeli [17]

Step-by-step explanation:

Since y varies directly with x,

y = kx, where k is a real constant.

When x = 4, y = 32.

=> (32) = (4)k, k = 8.

Therefore when x = -2,

y = kx = (8)(-2) = -16.

3 0

3 years ago

The question is find x

Allushta [10]

Answer:

x = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{BC}{EF}$ = $\frac{CD}{FG}$

Note that ΔBCD is a 3- 4- 5 triangle ( Pythagorean triple), hence CD = 4

Substitute given values into the equation

$\frac{3}{6}$ = $\frac{4}{x}$ ( cross- multiply )

3x = 24 ( divide both sides by 3 )

x = 8

8 0

3 years ago

Simplified radical form of 4800 feet how many seconds was the diver in a free fall? Using functions (t)=16t^2 models the distanc

amm1812

Answer:

The diver will be in free fall for $10\sqrt{3}$ seconds.

Step-by-step explanation:

The distance in feet, that an object falls in t seconds is given by the function $h(t) = 16t^{2}$ .

Now, given that the height is 4800 feet and we have to calculate the number of seconds the diver was in a free fall.

Therefore, $4800 = 16t^{2}$

⇒ $t^{2} = \frac{4800}{16} = 300$

⇒ $t = \sqrt{300} = \sqrt{100 \times 3} = 10\sqrt{3}$ seconds.

Therefore, the diver will be in free fall for $10\sqrt{3}$ seconds. (Answer)

5 0

3 years ago