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3 years ago

Please help me with this work

Mathematics

1 answer:

Volgvan3 years ago

5 0

Answer:

120

Step-by-step explanation:

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Which formula shows a joint variation?

djyliett [7]

The answer is the first option: I, II and III.

The explanation is shown below:

1. By definition, there is a joint variation when a variable depends on two or more different variables. Therefore, you can express it as following:

$y=kxz$

Where $x,y$ and $z$ are the variables and $k$ is the constant of proportionality.

As you can see, $y$ is directly proportional to $x$ and $z$ .

2. Keeping the information above, you have:

I) $V=lwh$ ( $V$ varies jointly with $l$ , $w$ and $h$ .

II) $V=\frac{1}{3}r^{2}h\pi$ (If $\frac{\pi}{3}$ is the constant of proportionality, $V$ varies jointly with $r^{2}$ and $h$ ).

III) $V=Bh$ ( $V$ varies jointly with $B$ and $h$ .

8 0

3 years ago

Read 2 more answers

Solve for y: when 3x + 2x+3y =180

Crank

Y = - 5x / 3 + 60

that's your answer!

4 0

3 years ago

Graph each absolute value function. State the domain, range, and y-intercept.

Inessa05 [86]

Answer:

i. D:All real numbers

ii.R: $y\le-2$

iii. Y-int: $b=-2.5$

Step-by-step explanation:

The given function is

$y=-\frac{1}{2} |x-1|-2$

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

$y=-\frac{1}{2} |x-1|-2$

The vertex of this function is

$(1,-2)$

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

$y\le-2$

Or

$(-\infty,2]$

iii. To find the y-intercept, we substitute $x=0$ into the funtion.

$y=-\frac{1}{2} |0-1|-2$

$y=-\frac{1}{2} (1)-2$

$y=-2.5$

The y-intercept is $b=-2.5$

The graph is shown in the attachment.

3 0

3 years ago

A number, x, rounded to 1 decimal place is 3.7<br>Write down the error interval for x.

alekssr [168]

Answer:

$3.65 \leqslant x \leqslant 3.75$

Step-by-step explanation:

The error in rounding a number is half of the unit of measure.

The number was rounded to the nearest 0.1 unit so the error is 1/2×0.1, which equals 0.05.

Now we add 3.7 and 0.05, which equals 3.75 and we also take 3.7 - 0.05, which equals 3.65

So, the error interval is:

$3.65 \leqslant x \leqslant 3.75$

4 0

3 years ago

The equation 2x-7=5+x has exactly one solution. True or false

marishachu [46]

Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

5 0

2 years ago