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zmey [24]
3 years ago
15

The height of a baseball after it is struck by a bat is modeled by the function h(x) = 3 + 128x − 16x2, where x is the elapsed t

ime in seconds and h is the height measured in feet. In context, what does the constant 3 represent?
Mathematics
2 answers:
evablogger [386]3 years ago
7 0

Step-by-step explanation:

The constant 3 is the y-intercept of h(x).  Physically, it is the initial height of the baseball.

jenyasd209 [6]3 years ago
3 0

Answer:

B)  

The bat struck the baseball when it was at a height of 1 yard.

Step-by-step explanation:

usatestprep...

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riadik2000 [5.3K]

Answer:

measure it with the inches side.

Step-by-step explanation:

8 0
3 years ago
Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it
Zanzabum

Answer:

\beta=45\degree\:\:or\:\:\beta=135\degree

Step-by-step explanation:

We want to solve \tan \beta \sec \beta=\sqrt{2}, where 0\le \beta \le360\degree.

We rewrite in terms of sine and cosine.

\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}

\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}

Use the Pythagorean identity: \cos^2\beta=1-\sin^2\beta.

\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}

\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)

\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta

\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0

This is a quadratic equation in \sin \beta.

By the quadratic formula, we have:

\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }

\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }

\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }

\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }

\sin \beta=\frac{2}{2\cdot \sqrt{2} } or \sin \beta=\frac{-4}{2\cdot \sqrt{2} }

\sin \beta=\frac{1}{\sqrt{2} } or \sin \beta=-\frac{2}{\sqrt{2} }

\sin \beta=\frac{\sqrt{2}}{2} or \sin \beta=-\sqrt{2}

When \sin \beta=\frac{\sqrt{2}}{2} , \beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )

\implies \beta=45\degree\:\:or\:\:\beta=135\degree on the interval 0\le \beta \le360\degree.

When  \sin \beta=-\sqrt{2}, \beta is not defined because -1\le \sin \beta \le1

4 0
3 years ago
Shaquana finds some nickels and pennies in her change purse. How much money (in
kupik [55]

Answer:

3.50$

Step-by-step explanation:

Since a nickel is 5 cents, you would do 5 x 60 which would equal 300, which is 3 dollars.

Since a penny is worth 1 cent, you would do 1 x 50 and get 50 cents, which is half a dollar.

3 + .5 = 3.50

Hope this helps!

<em>-kiniwih426</em>

4 0
3 years ago
The price of a set of feeding bowls for dogs have been $9.25 , but was increased to $11.10. What was the precent increased
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Answer:

As per the given statement:

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To find the percentage increase.

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Substitute the given values we have;

\text{Percentage increased} = \frac{11.10}{9.25} \times 100

Simplify:

\text{Percentage increased} = 120\%

therefore, the increased percentage was 120%


4 0
3 years ago
What is true about the sum of the two polynomials
Hoochie [10]

he result of adding two polynomials will always be another polynomial. A polynomial is an algebraic expression made up of the sum of monomials, which are products of numbers (coefficients) and variables in positive integer exponents.

8 0
3 years ago
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