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3 years ago

5

Pat did not put a lid on jar 4.The candle in jar 4 burned for a very long time.Tell why this candle kept burning so much longer

than the other candles

1 answer:

Luden [163]3 years ago

4 0

Answer:

The gas Oxygen supports combustion, so in the environment where there was no lid covering jar 4, it's sure to receive a lot of oxygen

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Convert the rectangular coordinates (-9, 3V3) into polar form. Express the angle

Whitepunk [10]

Answer:

$(6\sqrt{3},\,\frac{5\pi}{6})$

Step-by-step explanation:

The radius r can be found from the relationship

$r^2=x^2+y^2\\r^2=(-9)^2+(3\sqrt{3})^2\\r^2=81+27=108\\r=\sqrt{108}\\r=6\sqrt{3}$

The point is in Quadrant II (-, +), so use the inverse cosine function to find the angle.

$\cos{\theta}=\frac{x}{r}=\frac{-9}{6\sqrt{3}}\\\cos{\theta}=-\frac{9}{6\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}\\\cos{\theta}=-\frac{9\sqrt{3}}{6\cdot3}\\\cos{\theta}=-\frac{\sqrt{3}}{2}\\\\\cos^{-1}\frac{-\sqrt{3}}{2}}=\frac{5\pi}{6}$

See the attached image.

7 0

3 years ago

What is the The range of y = square root X-5 – 1

Step2247 [10]

Answer:

[-1, infinity)

Step-by-step explanation:

I must assume that you meant y = √(x - 5) - 1.

The range of the square root function is [0, infinity.

If 1 is subtracted from the square root function, the range of the resulting function is [-1, infinity).

3 0

3 years ago

Solve: 12x^2+5x-4=12^2x+6

Orlov [11]

Subtract the 12x^2 first.
5x - 4 = 6
Add the four
5x = 10
Then divide the 5 from both sides
X = 2

4 0

3 years ago

Six donuts cost a total of $3.54 what is the cost for one donut? Six donuts cost a total of $3.54 what is the cost of one donut?

UkoKoshka [18]

Answer:

one doughnut costs 59 cents

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Graph 3x + y = -2 <br><br><br><br><br> .................................................

nikdorinn [45]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

A graphing calculator does this very nicely.

__

The intercepts can be found by setting the other variable to zero and dividing by the coefficient of the variable of interest. This tells you the x-intercept is -2/3, and the y-intercept is -2/1 = -2. The y-intercept is conveniently on a grid point. To find other grid points on the line, it is convenient to choose integer values for x, then solve for y.

y = -3x -2

Positive values for y will require negative values of x.

7 0

3 years ago