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Troyanec [42]
3 years ago
8

What is the quotient of 78.3 ÷ 3.48?

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0
The answer is 22.5. I hope this helps you.

Good luck with your work! 
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The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.
Mila [183]

The volume of helium inside the balloon decreased at a rate of 0.1 cubic feet per minute. The linear equation that represents the given data is y = -0.1x + 6 and its slope m = -0.1.

<h3>What is the equation of a line passing through two points?</h3>

The equation of the line passing through the points (x1, y1) and (x2, y2) is

(y - y1) = m(x - x1).

Where m is the slope of the line and is calculated by

m = (y2 - y1)/(x2 - x1)

<h3>Calculation:</h3>

The given data in the table represents the volume of helium (cu ft), inside a balloon relative to the elapsed time in minutes.

x: 5, 10, 15, 20, 25, 30, 35, 40

y: 5.5, 5, 4.5, 4, 3.5, 3, 2.5, 2

From this table, consider two points (5, 5.5) and (10, 5)

So, the equation of the line is

y- y1 = m(x - x1)

Where slope m = (y2 - y1)/(x2 - x1)

⇒ m = (5 - 5.5)/(10 - 5)

⇒ m = -0.5/5

∴ m = -0.1

Thus, the equation is

y - 5.5 = -0.1(x - 5)

⇒ y - 5.5 = -0.1x + 0.5

⇒ y = -0.1x + 0.5 + 5.5

⇒ y = -0.1x + 6.0

∴ y = -0.1x + 6

Since the slope of the line is negative, the volume of the helium inside the balloon decreased at a rate of 0.1 cubic ft per minute.

So, option 2 is correct.

Learn more about the slope of a line here:

brainly.com/question/3493733

#SPJ1

3 0
1 year ago
29 POINTS EASY QUESTION!!!! EXPLAIN AND SHOW ME HOW U EXPLAINED IT
Mkey [24]

Answer:

364000

Step-by-step explanation:

8 0
3 years ago
PLEASE I'm DESPERATE!. Find a, b, c, and d such that the cubic . f(x) = ax3 + bx2 + cx + d. satisfies the given conditions.. Rel
dimulka [17.4K]
We are given with the equation <span>f(x) = ax3 + bx2 + cx + d

Substituting, (3,11) 
</span><span>11= 27a + 9b + 3c + d
</span><span>@(5, 9) 
</span><span>9 = 125 a + 25 b + 5c + d
@</span><span>(4, 10)
</span><span>10 = 64 a + 16 b + 4c + d

@inflection point, second derivative is equal to zero
</span><span>f'(x) = 3ax2 + 2bx + c 
</span>f''(x) = 6ax + 2b = 0

when x is 4, 24 a + 2b = 0 or 12a + b = 0. 

There are 4 equations, 4 unknowns: answer is 
<span>0.5 x^3 - 6x^2 + 22.5 - 24 = 0</span>
4 0
3 years ago
Read 2 more answers
Solve this equation 23x−15x=x−1
Komok [63]

Answer:

x = 1/7

Step-by-step explanation:

23x - 15x = x-1

8x = x - 1

8x - x = 1

7x = 1

x = 1/7

6 0
2 years ago
What is the slope of the line that passes through the points (-4, -4)(−4,−4) and (-4, -9) ?(−4,−9)? Write your answer in simples
Akimi4 [234]

Answer:

undefined slope

Step-by-step explanation:

The points contain the same x-value. This means that the line is vertical.

All vertical lines have an undefined slope.

Hope this helps.

5 0
2 years ago
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