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Yakvenalex [24]
11 months ago
9

The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.

What does the slope of the linear equation that models the data indicate?

Mathematics
1 answer:
tigry1 [53]11 months ago
7 0

The slope of this linear equation that models the data indicate: B. the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

<h3>What is a slope?</h3>

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

<h3>How to calculate the slope of a line?</h3>

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}

Substituting the given points into the formula, we have;

Slope = (5 - 5.5)/(10 - 5)

Slope = -0.5/5

Slope = -0.1.

In conclusion, we can infer and logically deduce that the slope of this linear equation that models the data indicate the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

Read more on linear function here: brainly.com/question/6978079

#SPJ1

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Marianna [84]

Solution:

<u>Note that:</u>

  • AB = EF
  • BC = EG = 6x - 8
  • 7x - 19 = 2x + 11
  • Perimeter of triangle: 24 + 2x + 11 + 6x - 8

<u>Solving for x:</u>

  • 7x - 19 = 2x + 11
  • => 7x - 2x = 19 + 11
  • => 5x = 30
  • => x = 30/5 = 6

<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>

  • 24 + 2x + 11 + 6x - 8
  • => 24 + 2(6) + 11 + 6(6) - 8
  • => 24 + 12 + 11 + 36 - 8
  • => 24 + 12 + 3 + 36
  • => 75 units

The perimeter of the triangle ABC is 75 units.

7 0
2 years ago
I will give brainiest to whoever answers correctly !!
evablogger [386]

Answer:

markup=62 %

Step-by-step explanation:  

4 0
3 years ago
Read 2 more answers
Find the area of the shaded region ​
o-na [289]

so hmmm let's get the area of the whole hexagon, and then get the area of the circle inside it, then <u>subtract the area of the circle from that of the hexagon's</u>, what's leftover is what we didn't subtract, namely the shaded part.

\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\cot\stackrel{\stackrel{degrees}{\downarrow }}{\left( \frac{180}{n} \right)}~ \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\[-0.5em] \hrulefill\\ n=\stackrel{hexagon}{6}\\ s=\frac{9}{2} \end{cases}\implies A=\cfrac{1}{4}(6)\left( \cfrac{9}{2} \right)^2 \cot\left( \cfrac{180}{6} \right)

A=\cfrac{1}{4}(6)\cfrac{9^2}{2^2} \cot(30^o)\implies A=\cfrac{243}{8}\cot(30^o)\implies A=\cfrac{243\sqrt{3}}{8} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{4}{5} \end{cases}\implies A=\pi \left( \cfrac{4}{5} \right)^2\implies A=\cfrac{16\pi }{25} \\\\[-0.35em] ~\dotfill

\stackrel{\textit{area of the hexagon}}{\cfrac{243\sqrt{3}}{8}}~~ - ~~\stackrel{\textit{area of the circle}}{\cfrac{16\pi }{25}}\implies \cfrac{6075\sqrt{3}-128\pi }{200}

5 0
2 years ago
Please help this is due tomorrow
mote1985 [20]

Answer:

8

Step-by-step explanation:

because if you do it then the anwser would be 8.5 so it could be 8 or 9

7 0
3 years ago
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The length of an equilateral triangle is increased by 7 inches, so the perimeter is now 36 inches. Find the original length of e
STALIN [3.7K]
The original length is 5 inches per side.
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