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Rina8888 [55]
3 years ago
11

It takes 4 hours to go fly to Atlanta, a city that is about 200 miles. How many miles have I flown in in 2.5 miles

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0

Answer:

x = 125

Step-by-step explanation:

4 hrs : 200 mi

2.5 hrs : x mi

4/2.5 = 1.6 hrs

200/1.6 = 125 mi

x = 125 mi

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As part of a screening process, computer chips must be operated in an oven at 145 °C. Ten minutes after starting, the temperatur
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Answer:

Step-by-step explanation:

I solved this using initial conditions and calculus, so I hope that's what you are doing in math.  It's actually NOT calculus, just a concept that is taught in calculus.

The initial condition formula we need is

y=Ce^{kt}

Filling in our formula with the 2 conditions we are given:

65=Ce^{10k}   and   85=Ce^{15k}

With those 2 equations, we have 2 unknowns, the C (initial value) and the k (the constant). We know that the initial value (or starting temp) for both conditions is the same, so we solve for C in one equation, sub it into the other equation and solve for k.  If

65=Ce^{10k} then

\frac{65}{e^{10k}}=C which, by exponential rules is the same as

C=65e^{-10k}

Since that value of C is the same as the value of C in the other equation, we sub it in:

85=65e^{-10k}(e^{15k})

Divide both sides by 65 and use the rules of exponents again to get

\frac{85}{65}=e^{-10k+15k} which simplifies down to

\frac{85}{65}=e^{5k}

Take the natural log of both sides to get

ln(\frac{85}{65})=5k

Do the log thing on your calculator to get

.2682639866 = 5k and divide both sides by 5 to find k:

k = .0536527973

Now that we have k, we sub THAT value in to one of the original equations to find C:

65=Ce^{10(.0536527973)}

which simplifies down to

65=Ce^{.536527973}

Raise e to that power on your calculator to get

65 = C(1.710059171) and divide to solve for C:

C = 38.01038064

Now sub in k and C to the final problem when t = 23:

y=38.01038064e^{(.0536527973)(23)} which simplifies a bit to

y=38.01038064e^{1.234014338}

Raise e to that power on your calculator to get

y = 38.01038064(3.434991111) and

finally, the temp at 23 minutes is

130.565

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Answer:

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Step-by-step explanation:

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2 years ago
The spherical container has a radius of 21 cm. What is the approximate volume of the container? Use 3. 14 to approximate pi. Rou
Gemiola [76]

Volume of a figure is the measure of the space that figure occupies. The approximate volume of the specified container is 87.92 cm³

<h3>What is the volume of sphere?</h3>

If the given sphere is of radius r units, then its volume is given as:

V=  \dfrac{4}{3} \pi r^3 \: \rm unit^3

For the given case, the radius of the sphere is given to be 21 cm, and the value of pi is instructed to be used  as 3.14

Thus, we have the volume of container as:

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Thus,

The approximate volume of the specified container is 87.92 cm³

Learn more about volume of sphere here:

brainly.com/question/381274

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