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3 years ago

How do you write 9.6004 × 10^15 in standard form?

Mathematics

1 answer:

Naddik [55]3 years ago

6 0

Answer:

9600400000000000 is in standard form

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A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

Y_Kistochka [10]

Answer:

10.4 meters per second

3 0

4 years ago

Differentiate Vx(x + 2) with respect to x.

Travka [436]

Answer:

$y'= \frac{3x+2}{2\sqrt{x} }$

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

$y=\sqrt{x} (x+2)$

Step 2: Rewrite

$y=x^{\frac{1}{2} } (x+2)$

Step 3: Differentiate

Product Rule [Basic Power/Chain Rule]: $y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)$
Simplify: $y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}$
Rewrite: $y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}$
Add: $y'= \frac{3x+2}{2\sqrt{x} }$

7 0

3 years ago

How can you solve this system of equations using substitution? -66x-2z=-196 8x+2z=22

Scrat [10]

In the second equation:

Subtract 8x from both sides.

2z = 22 - 8x

Divide 2 on both sides.

z = 11 - 4x

Plug this into the first equation.

-66 - 2(11 - 4x) = -196

-66 - 22 + 8x = -196

Combine like terms.

-88 + 8x = -196

Add 88 to both sides.

8x = -108

Divide 8 on both sides.

x = -13.5

Put this into the second equation.

8(-13.5) + 2z = 22

-108 + 2z = 22

Add 108 to both sides.

2z = 130

Divide 2 on both sides.

z = 65

and

x = -13.5

Hope this helps!

6 0

3 years ago

Is <img src="https://tex.z-dn.net/?f=%5Csqrt%7B47%20%7D" id="TexFormula1" title="\sqrt{47 }" alt="\sqrt{47 }" align="absmiddle"

Fudgin [204]

Answer:

irrational

Step-by-step explanation:

sqrt 47 is 6.8556546

7 0

3 years ago

Please answer

Bond [772]

The answer is 10 years because simple interest is 16%

7 0

3 years ago