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3 years ago

8

a bird was sitting 8 meters from the base of the oak tree, it flew 9 meters to get to the top of the tree, how tall was the tree

round to the nearest hundredth

1 answer:

kupik [55]3 years ago

6 0

Answer:

17 meters tall

Step-by-step explanation: You first add 9 and 8 meters and than you get 17. 7 ... tall is the tree? If necessary, round to the nearest tenth.

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What is 5/12 times 6 in multiply fractions with whole numbers

KiRa [710]

5/12*6 =5/12*6/1 crosscancle you get 5/2 the you get 2 1/2

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3 years ago

An olympic sprinter can run 56 yards in 8 seconds. At the same rate, how long (in seconds) would it take the sprinter to run 81

aniked [119]

Answer:

20,365.7 seconds

Step-by-step explanation:

First, we need to know how to convert yards to miles, as the question is in miles. We know that 1 mile is equivalent to 1760 yards. So we have:

1 mi = 1760 yards

If we multiply both sides by 81:

81 mi = 142,560‬ yards

And we know that the sprinter needs 8 second to run 56 yards:

8 s = 56 yards

If we divide both sides by 56 we get the time he needs for 1 yard:

8/56 s = 56/56 yards

1/7 s = 1 yard

So, takes him 1/7 seconds to run one yard. At this rate he runs 142,560 yards in:

(1/7) * 142,560 = 20,365.7

So, he needs 20,365.7 seconds to run 81 miles (142,560 yards)

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3 years ago

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xeze [42]

Step-by-step explanation:

Your assignment probably gave you numbers, like (3,4) or (-5,6). They are graphed on the graph. the first number is where the y axis is and the y axis goes _____ on the coordinate plane. Then he second number is the x axis and that goes up and down like an l. To figure out what the points are you go first in the hose and up the stairs. Put your finger on the dot and count the lines it takes DOWN or UP to get to the middle line. If you ad a negative number you count up to the middle line and positives you count down. Write that number down like this (your 1st number here, Now go back to your point and and count how many lines to get to the middle line that goes up and down otherwise known as your y axis. You either count left or right to get to this line. Count the line it takes to get to that centered line. If you have to count t the right to get this number, mark it as negative. If you count to the left its positive. Now you answer should look like this just replaced with numbers instead of words. (First number here, Second number here) Good luck on your assignment!

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3 years ago

Which of the following statements is true of the number 651.44

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Step-by-step explanation:

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3 years ago

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Your swimming pool containing 60,000 gal of water has been contaminated by 6 kg of a nontoxic dye that leaves a swimmer's skin a

Paul [167]

[a] Dye is removed from the pool at a rate of

(250 gal/min) * (<em>q</em>/60,000 g/gal) = -<em>q</em>/240 g/gal

where <em>q</em> denotes the amount of dye in the pool at time <em>t</em>. Clean water is pumped back into the pool, so no dye is being re-added.

So the net rate of change of the amount of dye in the pool is given by the differential equation,

$\dfrac{\mathrm dq}{\mathrm dt}=-\dfrac{q(t)}{240}$

with the intial value, <em>q</em>(0) = 6000 g (or 6 kg).

[b] The ODE above is separable as

$\dfrac{\mathrm dq}q=-\dfrac{\mathrm dt}{240}$

Integrate both sides to get

$\ln|q|=-\dfrac t{240}+C$

$e^{\ln|q|}=e^{-t/240+C}$

$\implies q(t)=e^{-t/240+C}=e^{-t/240}e^C=Ce^{-t/240}$

Now plug in the initial condition:

$6000=Ce^0\implies C=6000$

so the particular solution to the IVP is

$q(t)=6000e^{-t/240}$

[c] The acceptable concentration of the dy is 0.03 g/gal, which in a pool containing 60,000 gal of water corresponds to

(0.03 g/gal) * (60,000 gal) = 1800 g = 1.8 kg

of dye. Find the time <em>t</em> when this occurs:

$1800=6000e^{-t/240}\implies0.3=e^{-t/240}$

$\implies\ln0.3=-\dfrac t{240}$

$\implies t=-240\ln0.3\approx288.953$

so the amount of dye in the pool is within the acceptable tolerance after about 289 min have passes, or about 4.82 hrs. So no, the filtration system is not up to the task.

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3 years ago

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