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1 year ago

How fast is the apple traveling when the kinetic energy is 32 joules?

Mathematics

1 answer:

Daniel [21]1 year ago

8 0

Answer

The apple is traveling at 8 meters per second

Explanation

We have the equation that relates the kinetic energy with the velocty:

$K=\frac{v^2}{2}$

Then, to find thevelocity when the apple has 32, we replace K = 32 j:

$\begin{gathered} 32=\frac{v^2}{2} \\ 32\cdot2=v^2 \\ 64=v^2 \\ v=\sqrt{64}=8 \\ \end{gathered}$

Thus, the speed of the apple is 8meter per second

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How do you determine the degree of a polynomial

yawa3891 [41]

Answer:

The degree of a polynomial refers to the highest degree of its individual terms having non-zero coefficients.

Step-by-step explanation:

The degree of a polynomial refers to the highest degree of its individual terms having non-zero coefficients. For example;

A quadratic polynomial is a polynomial of degree 2. This polynomial takes the general form;

$ax^{2}+bx+c$

where a, b, and c are constants. This is usually referred to as a quadratic polynomial in x since x is the variable. The highest power of x in the polynomial is 2, hence the degree of any quadratic polynomial is 2.

A second example, consider the cubic polynomial;

$ax^{3}+bx^{2}+cx+d$

The degree of this polynomial is 3.

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3 years ago

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Sam has softball practice every 3 days and drama lessons every 7 days. On what day will both occur?

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Answer:

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Step-by-step explanation:

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3 years ago

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A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4

skad [1K]

Answer:

a) $\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

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3 years ago

The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).

kifflom [539]

Answer:

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Step-by-step explanation:

Given functions,

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g(x) = x^2 -----(2)

Since,

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Hence,

(fog)(x)=3x^2 + 8

Step-by-step explanation:

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3 years ago