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3 years ago

6

Convert 3/16 to a decimal using long division.

2 answers:

Aleksandr-060686 [28]3 years ago

4 0

Its A hope this helped 100 % correct

MAXImum [283]3 years ago

3 0

Answer:

option A

Step-by-step explanation:

conversion of 3/16 using long division method.

in this method, we write dividend in the box and the divisor on the left side and quotient on the right side.

in the given division 3 is dividend 16 is divisor and 0.1875 is the quotient

the diagram attached below shows the long division

hence the correct answer is option A.

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Write 2/15 as a decimal.

Cloud [144]

If you need to write a number as a decimal, it means that you need to write is a an x divided by a power of 10.
you can use this formula:
$\frac{2}{15} = \frac{x}{10}$

now let's multiply both sides by 10:
$\frac{20}{15} = x$
and simplyfy:
(by dividing the first fraction's elements by 5)
$\frac{4}{3} = x$

change improper fraction into a mixed number
$1\frac{1}{3} = x$

and 1 over 3 is 0.33333...

so the answer is 1.333333 - we can also write it as 1.(3)

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3 years ago

Analyzing a Graph In Exercise, analyze and sketch the graph of the function. Lable any relative extrema, points of inflection, a

Anit [1.1K]

Answer:

Analyzed and Sketched.

Step-by-step explanation:

We are given $y=\frac{\ln\left(5x)}{x^2}$

To sketch the graph we need to find 2 components.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

$y'=\frac{1-2\ln\left(5x)}{x^3}=0$

$x = \sqrt e/5$ is absolute maximum

$y''=\frac{6\ln\left(5x)-5}{x^4}=0$

$x=e^{5/6}/5$ is the point concavity changes from down to up.

Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.

The graph is given in the attachment.

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3 years ago

Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

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