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Feliz [49]
2 years ago
9

Already answered.

Mathematics
1 answer:
atroni [7]2 years ago
8 0

A megaliter is 10000 times larger than a hectoliter.

<h3>How to find required result ?</h3>

Here, Megaliter = 10⁶ & hectoliter = 10²

To find how many times megaliter is larger than hectoliter, we have to divide the value of megaliter by the value of hectoliter.

Then we have to expand the powers & cancel common terms of numerator & denominator. Thereafter we get the value by which megaliter is larger than hectoliter.

<h3>What is the required value ?</h3>

First we have to divide 10⁶ by 10² we get, 10⁶/10²

Now we have to expand, we get, (10×10×10×10×10×10)/(10×10)

Now cancel (10×10) we get,  (10×10×10×10) i.e. 10000

Hence 1 megaliter = 10000 hectoliter

Learn more about megaliter here :

brainly.com/question/8932964

#SPJ10

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How would I solve this equation?
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2(7/2)^x = 49/2

Divide both sides by 2:

(7/2)^x = 49/4

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A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
Nastasia [14]

Let

x-------> the number of game tokens purchased for a member of the arcade

y-------> the function of the yearly cost in dollars

we know that

the function y of the yearly cost in dollars is equal to

y =\frac{1}{10} x +60

This is the equation of the line

using a graph tool

see the attached figure

<u>Statements</u>

<u>case a)</u> The slope of the function is $1.00

The statement is False

The slope of the function is equal to \frac{1}{10} \frac{\$}{tokens}

<u>case b)</u> The y-intercept of the function is $60

The statement is True

we know that

The y-intercept of the function is the value of the function when the value of x is equal to zero

so

for x=0

y =\frac{1}{10}*0 +60

y =\$60

<u>case c)</u> The function can be represented by the equation y =(1/10)x + 60

The statement is True

The equation of the function is equal to y =\frac{1}{10} x +60

<u>case d)</u> The domain is all real numbers

The statement is False

The value of x cannot be negative, therefore the domain is the interval

[0,∞)

<u>case e)</u> The range is {y| y ≥ 60}

The statement is True

The range of the function is the interval-------> [60,∞)

see the attached figure

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Through: (-3,0), perp. to y = 3x - 1
Marrrta [24]

Answer:

y=-\dfrac{1}{3}x-1

Step-by-step explanation:

<u>Given: </u>

line y=3x-1

point (-3,0)

<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)

<u>Solution:</u>

The slope of the given line is m=3

If m_1 is the slope of perpendicular line, then

m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}

So, the equation of the needed line is y=-\dfrac{1}{3}x+b.

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1

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