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dolphi86 [110]
2 years ago
9

A ball is kicked upward with an initial velocity of 52 feet per second. The ball's height, h (in feet), from the ground Is

Mathematics
1 answer:
Norma-Jean [14]2 years ago
5 0

Check the picture below.

\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+52}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 52}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (52)^2}{4(-16)}\right) \implies \left( - \cfrac{ 52 }{ -32 }~~,~~0 - \cfrac{ 2704 }{ -64 } \right)

\left( \cfrac{13}{8}~~,~~\cfrac{169}{4} \right)\implies \underset{\stackrel{\uparrow \hspace{3em}}{seconds\qquad }}{\stackrel{\stackrel{\qquad feet}{\hspace{3em}\downarrow }}{\left( 1\frac{5}{8}~~,~~42\frac{1}{4} \right)}}

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-- The one in the lower right is a square.  It has four sides,
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3 years ago
What is 2/9b=1/3b-7 the answer
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If you would like to know solve the equation 2/9 * b = 1/3 * b - 7, you can calculate this using the following steps:

2/9 * b = 1/3 * b - 7
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2/9 * b - 3/9 * b = -7
-1/9 * b = -7
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5 0
3 years ago
Find BC. Round to the nearest tenth
SSSSS [86.1K]
<span>Using LAW OF SINES Round to the nearest tenth. 
Find BC: triangle is laying on it's side with the point to the right point(A).

B to C= 61 degrees
C to A= 23 cm
A to B= 12 degrees
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If I interpret this correctly:
Angle A = 61º

Angle C = 12º
--> B = 103º
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Side b = 23 cm
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BC is side a, opposite angle A
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a = 23*sin(61)/sin(103)
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Hope this helped :)</span>
3 0
3 years ago
Can someone explain HOW to simplify this algebraic fraction, as in tell me why and what I need to do for each step : 1-n/n^2-1
Andreyy89

- I’m assuming the expression implies the following:

(1-n)/(n^2 - 1)

The steps goes as follows:

= -(n-1)/(n^2-1) (factored a negative out)
= -(n-1)/[(n+1)(n-1)] (Factored denominator into a difference of squares, but don’t just blindly accept the fact, expand it and you should get the original denominator)

At this point, the (n-1) terms cancel, as you should know: a real number, besides 0, over itself is 1.

= -1/(n+1) , which is the answer

Note: You could also see it as 1/-(n+1) or 1/(-n-1)
8 0
2 years ago
At 1 p.M., the number of bacteria in a petri dish is 54. It is estimated that the population of bacteria will increase by 6% eac
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Answer: y = 54(1.06)^t

Step-by-step explanation:

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Therefore, the formula for the population of bacteria is

y = 54(1 + 0.06)^t

y = 54(1.06)^t

6 0
3 years ago
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