To compare measurements of different units, it is necessary to convert one to the form of the other. Let us try to convert 85g to ounces using the following relation: 1g = 0.035274 oz

85g * (0.035274oz / 1g) = 2.99829 oz.

Therefore, 3 oz is heavier than 85 g.

8 0

3 years ago

What are the first four terms in the sequence Tn=4n+9?

marysya [2.9K]

Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2

6 0

2 years ago

Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations.

Nostrana [21]

$x^3-27i=0$
$x^3=27i$
$x^3=27e^{i\pi/2}$
$x=\left(27e^{i\pi/2}\right)^{1/3}$
$x=3e^{i(\pi/2+2\pi k)/3}$
$x=3e^{i\pi(4k+1)/6}$

where $k\in\{0,1,2\}$ . This means you have

$x=3e^{i\pi/6}=\dfrac32(\sqrt3+i)$
$x=3e^{i5\pi/6}=\dfrac32(-\sqrt3+i)$
$x=3e^{i9\pi/6}=-3i$

as the solutions to the original equation.

4 0

3 years ago

You run out of gas and measure the amount of gas it takes to fill the tank. Is this data a type discrete or continuous

ziro4ka [17]

I think it is continuous

7 0

3 years ago