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3 years ago

1. If a basketball player makes 9 baskets in 12 tries, what is her ratio of baskets to tries, in lowest terms?

Mathematics

1 answer:

coldgirl [10]3 years ago

6 0

Answer:

1. 3:4

Step-by-step explanation:

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Match the vocabulary word to the definition. Use the word bank. You will NOT use all the words in the word bank.

kotykmax [81]

Answer:

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3 years ago

Which angle is vertical <EFA

zimovet [89]

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Angle <u><CFD</u> would be vertical to <EFA.

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3 years ago

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Solnce55 [7]

Answer:

Step-by-step explanation:

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3 years ago

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Newton's law of cooling is:

Mnenie [13.5K]

Answer:

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

$\frac{du}{dt}= -k (u-T)$

We can reorder the expression like this:

$\frac{du}{u-T} = -k dt$

We can use the substitution $w = u-T$ and $dw =du$ so then we have:

$\frac{dw}{w} =-k dt$

IF we integrate both sides we got:

$ln |w| = -kt +C$

If we apply exponential in both sides we got:

$w = e^{-kt} *e^c$

And if we replace w = u-T we got:

$u(t)= T + C_1 e^{-kt}$

We can also express the solution in the following terms:

$u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}$

For this case we know that $k =-0.15 hr$ since w ehave a cooloing, $T_{i}= 70 F, T_{amb}=11F$ , we have this model:

$u(t) = (70-11) e^{-0.15t} +11$

And if we want that the temperature would be 32F we can solve for t like this:

$32 = 59 e^{-0.15 t} +11$

$21=59 e^{-0.15 t}$

$\frac{21}{59} = e^{-0.15 t}$

If we apply natural logs on both sides we got:

$ln (\frac{21}{59}) =-0.15 t$

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

7 0

3 years ago

A bank loaned out 16,000 $, part of it at the rate of 6% per year and the rest at 14% per year. If the interest received in on

MakcuM [25]

Answer:

This question requires a comparison between two different variables 6% and 16% values. If we let x=$ loaned on 6% loans and y=$ loaned on 16% loans, then we can relate two equations.

0.06x + 0.16y = $1500 --> referencing the interest earned from each percentage loaned.

x + y = $16000 --> referencing the total amount of money loaned out.

Rearrange either equation and substitute for a value in the other equation or use elimination to determine each individual variable.

Step-by-step explanation:

6 0

3 years ago