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3 years ago

Convert 214 Liters into gallons.

Mathematics

2 answers:

Sergio [31]3 years ago

7 0

Answer:

214 Liters converted to gallons would be 56.53 gallons there are more decimals after but those are the two main decimals.

Step-by-step explanation:

Vesnalui [34]3 years ago

7 0

The answer to your problem is B please give me a brainlist

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

Which situation best describes this function?

stiks02 [169]

Answer:

Step-by-step explanation:

Since it is an exponential function, there is no way that it could be increasing at a steady pace, like adding 248 each time, since that would create a linear function ( a line.) The numbers are increasing each year, not decreasing.

8 0

3 years ago

Describe in words the region of R3 reperesented by the equations or inequalities x2+y2+z2≤3

Vaselesa [24]

Answer:

The region represented by the equation is a full sphere of radius √3 centered in the origin of coordinates.

Step-by-step explanation:

In a plane xy, the equation that represents a circle with center in the origin, of radius r is

$x^2+y^2=r^2$

in R³, or a space xyz, we can represent a sphere with its center in the origin, and of radius r, with the equation

$x^2+y^2+z^2=r^2$

So, in this problem we have that

$3=r^2$

which means that the sphere has a radius of √3.

Finally, our equation is an inequality, and the sphere is equal to, and less than, the calculated radius.

Therefore, the sphere is "full" from the surface to its center.

8 0

3 years ago

An experiment consists of flipping a single coin followed by rolling a six-sided cube (a die).

Over [174]

Answer: $\frac{1}{12}$

Step-by-step explanation:

Okay, first, you want to find the probability of getting a head, which would be 1/2 because there are two options and we are only looking for one out of the two. Then, the probability of getting a 6 would be 1/6 because there is only one chance of getting a 6 and there are 6 options. Next, you would have to multiply both quantities to find out what the probability would be of getting both. So it would be $\frac{1}{2}$ × $\frac{1}{6}$ = $\frac{1}{12}$