a 3-inch candle burns down in 12 hours.Assuming the candles are the same thickness and make (that is, directly proportional),how long would it take for a 1-inch candle to burn down?

Answers

Answer 1

Answer:

Answer: 4 hours

Step-by-step explanation:

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Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. Please explain how you got the answer.
e^x=3.4

2^x+6=3

Answers

$e^x=3.4\n x=\ln 3.4\approx1.22\n\n 2^x+6=3\n 2^x=-3\n x\in\emptyset$

Directed line segment porque is shown on the coordinate plane. What are the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1)?

Answers

Answer: (2,3).

Step-by-step explanation:

We need to find the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1).

Let the point be A.

$PA:PQ=1:3$

$PA:AQ=PA:(PQ-PA)=1:(3-1)=1:2$

It means the point A divide the segment PQ in 1:2.

Section formula: If a point divide a segment is m:n.

$\left((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n)\right)$

$A=\left((1(-2)+2(4))/(1+2),(1(1)+2(4))/(1+2)\right)$

$A=\left((-2+8)/(3),(1+8)/(3)\right)$

$A=\left((6)/(3),(9)/(3)\right)$

$A=\left(2,3\right)$

Therefore, the required coordinates are (2,3).

I need help GRAPHING!

how do I graph: 12.50x + 6.25y ≥ 1500? Thank you!

Answers

You need to write it in slope intercept form first and then when u graph it you have to shade cuz there is equal sign

Use a graphing calculator Site.or Go by graphing calculator.

A container at a paper clip factory holds 2.1*10^3 pounds of paper clips. There are 9.6*10^5 paper clips in the container. Find the approximate weight of each paper clip in ounces. (1 pound= 16 ounces) Show Your Work.

Answers

Answer:

The approximate weight of each paper clip is 0.035 ounce.

Step-by-step explanation:

A container at a paper clip factory holds 2.1*10^3 pounds of paper clips.

= $2.1*1000=2100$ pounds

There are 9.6*10^5 paper clips in the container.

= $9.6*100000=960000$

Now we get that 960000 paper clips weigh 2100 pounds.

So, each paper clip will weigh = $(2100)/(960000)$ = 0.0021875 pounds

And 1 pound = 16 ounces

0.0021875 pounds = $16*0.0021875$ = 0.035 ounce

Hence, the approximate weight of each paper clip is 0.035 ounce.

Divide the total weight (2.1 * 10^3 lbs.) by the total quantity of things (9.6 * 10^5) to get the lbs./paperclip.

Then, multiply that number by 16 to get ounces/paperclip.

I need help with question ten this is probably easy but I need an answer asap!!!!