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3 years ago

Multiply 6√3 • 8√14 • √10 • √2

Mathematics

1 answer:

uranmaximum [27]3 years ago

7 0

Answer:

96 sqrt(210)

Step-by-step explanation:

6√3 • 8√14 • √10 • √2

We multiply what is outside the square roots with what is outside the square roots and what is inside the square roots with what is inside the square roots

6*8 = 48

3*14*10*2 = 840

6√3 • 8√14 • √10 • √2

48 sqrt(840)

48 sqrt( 4*210)

sqrt(a*b) = sqrt(a) sqrt(b)

48 sqrt(4) sqrt(210)

48 *2 sqrt(210)

96 sqrt(210)

210 is 3*7 *5*2 which are all primes, so we cannot simplify the sqrt (210)

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No local or absolute minimum.

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3 years ago

Solve x2 + 1/2x +1/16=4/9

kolezko [41]

Answer:

x = 0.417 or x = -0.917

Step-by-step explanation:

We are given the following expression and we are to solve it for the variable x:

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$x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144$

Simplifying it to get:

$144x^2+72x+9=64$

$144x^2+72x+9-64=0$

$144x^2+72x-55=0$

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$x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}$

$x=\frac{5}{12}$ or $0.417$

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3 0

3 years ago

What is thirty three and a third percent of 237?

Georgia [21]

Answer:

Step-by-step explanation:

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3 years ago

Find the missing side. Round to the nearest tenth. Х 28° 15 x = [?]

Effectus [21]

Given:

The right triangle with base 15 and hypotenuse x.

The measure of angle between base and hypotenuse is 28 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

In the given triangle,

$\cos 28^\circ=\dfrac{15}{x}$

$x=\dfrac{15}{\cos 28^\circ}$

$x=\dfrac{15}{0.8829476}$

$x=16.98855$

Round the value to the nearest tenth.

$x\approx 17.0$

Therefore, the value of x is 17.0 units.

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2 years ago

A company deposits $5,000 into an account that earns interest. The rate at which the value changes is given by dA/dt=0.0225A, wh

xxMikexx [17]

Answer:

$6261.61

Step-by-step explanation:

The solution to the differential equation is the exponential function ...

A(t) = 5000e^(0.0225t)

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The value of the account after 10 years will be $6,261.61.

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dA/A = 0.0225dt

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3 years ago