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allsm [11]
3 years ago
14

the temperature dropped 32F in 12 hours. If the staring temperature was 10 F what was the final temperature

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

The fact that the temperature dropped means that the new value is smaller than the old one. So, we must subtract.

We also know how much it dropped, so we know how much we must subtract.

The new value is thus

10 - 32 = -22 F

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Using calculus, you can find a function’s maximum or minimum by differentiating and setting the result to zero. Do this for equa
Elenna [48]

Answer:

\dfrac{dx}{d\theta}=\dfrac{2v_0^2\cos2\theta}{g}

x=\dfrac{v_0^2}{g} at \theta=45

Step-by-step explanation:

x=\dfrac{v_0^2\sin2\theta}{g}

Differentiating with respect to \theta means v_0 and g are constants. So we differentiate only the \sin2\theta term.

Assume y=\sin2\theta.

Let u=2\theta.

\dfrac{du}{d\theta}=2

Also, y becomes

y=\sin u

\dfrac{dy}{du}=\cos u

By chain rule,

\dfrac{dy}{d\theta}=\dfrac{dy}{du}\cdot \dfrac{du}{d\theta}

\dfrac{dy}{d\theta}=\cos u\cdot2=2\cos u=2\cos 2\theta

Adding back the constants,

\dfrac{dx}{d\theta} = \dfrac{2v_0^2\cos2\theta}{g}

Equating this to 0,

\dfrac{dx}{d\theta}=\dfrac{2v_0^2\cos2\theta}{g}=0

\cos2\theta=0

2\theta = \cos^{-1}0=90

\theta=45

Using this value of \theta in the expression for x,

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7 0
4 years ago
Exciting Entertainment
Free_Kalibri [48]

We can deduce that the student's gender provides information about their entertainment choices.

<u>Given the following data:</u>

  • Expenses on digital music = $2.6 billion dollars.
  • Expenses on video games = $24.7 billion dollars.

<h3>Describing and analyzing the data.</h3>

The data was gathered from a random survey which was conducted by sixth-grade students to determine the number of digital music (songs) that was downloaded by each student to their respective media player in the past two months as shown in the table in the image attached below.

<h3>What is a median?</h3>

A median can be defined as the <u>middle number</u> (center) of a sorted data set, which is when the data set is arranged from the least to greatest (ascending order) or greatest to least (descending order).

<u>For the </u><u>girls</u><u>:</u>

  • Median = 50.

<u>For the </u><u>boys</u><u>:</u>

  • Median = 33.

<h3>What is a mean?</h3>

A mean refers to a ratio of the sum of the total number in a data set to the frequency of the data set.

<u>For the </u><u>girls</u><u>:</u>

  • Mean = 46.

<u>For the </u><u>boys</u><u>:</u>

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In this context, we can deduce that the student's gender provides information about their entertainment choices.

Read more on median here: brainly.com/question/9550536

4 0
3 years ago
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