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garri49 [273]
3 years ago
10

The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t). What does the second coordinate of the

vertex of the quadratic function represent?
Mathematics
2 answers:
larisa [96]3 years ago
4 0
The maximum height of the baseball. Hope this helped :) 
AfilCa [17]3 years ago
3 0

Answer:

the second coordinate of the vertex of quadratic function represents the maximum height of the ball

Step-by-step explanation:

The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t)

General form of h(t) will be -16x^2 + v(t) + h

v represents initial velocity and h represents initial height

h(t) represents the height of the baseball

h(t) is negative so the height reaches the maximum

vertex (h,k) represents maximum height (k) when time t=h

So the second coordinate of the vertex of quadratic function represents the maximum height of the ball

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Calculaye the perimeter and area of these composite shapes
lora16 [44]

For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64

Thus, the perimeter of the figure is 64 centimeters.

Now, we find the area of the figure:

We have that by definition, the area of a rectangle is given by:

A = a * b

Where:

a and b are the sides of the rectangle

We have 4 vertical rectangles from left to right:

A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2

Thus, the total area isA_ {t} = 156 \ cm ^ 2

Answer:

The perimeter of the figure is 64 centimeters.

A_ {t} = 156 \ cm ^ 2

4 0
3 years ago
When constructing parallel and perpendicular lines, how are the steps similar?
Schach [20]
Similar steps:

1. You need to draw a reference line first( It's trivial but hey, it's similar)

2. You need to draw the other line with pre-defined slope( parallel with same slope, perpendicular with the product of the slope to be -1)
5 0
3 years ago
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What is the sum of ? <br><br>I will put a pic if the answer is correct ill mark brainlist
olga2289 [7]

\text{The sum of } 1\frac{7}{10}  \text{ and } 3\frac{3}{5} \text{ is } 5\frac{3}{10}

<em><u>Solution:</u></em>

Given that we have to find the sum of 1\frac{7}{10} \text{ and } 3\frac{3}{5}

<em><u>Let us first convert the mixed fractions to improper fractions</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

Therefore,

1\frac{7}{10} = \frac{10 \times 1 + 7}{10} = \frac{10+7}{10} = \frac{17}{10}\\\\3\frac{3}{5} = \frac{5 \times 3 + 3}{5} = \frac{18}{5}

Now we can add both the fractions

1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18}{5}

Make the denominators same

1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18 \times 2}{5 \times 2}\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{36}{10}\\\\\text{Add the fractions since the denominator is same }\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17+36}{10} = \frac{53}{10}

Now convert the fraction to mixed number

When we divide 53 by 10 , the remainder is 3

Therefore, write 5 as a whole number and and 3 as numerator and 10 as denominator

\frac{53}{10} = 5\frac{3}{10}

Thus the sum of given mixed fraction is 5\frac{3}{10}

6 0
3 years ago
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
STALIN [3.7K]

Answer:

<u>395.64 m³</u>

Step-by-step explanation:

<u>Volume (figure)</u>

  • Volume (hemisphere) + Volume (cylinder)
  • 2/3πr³ + πr²h
  • πr² (2/3r + h)
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  • 3.14 x 9 x 14
  • 3.14 x 126
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5 0
2 years ago
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Felix earns $450 per week plus 3% of sales over $4800. Felix’s sales are $53000. How much does Felix earn?Felix earns $450 per w
kirill [66]

Answer:

<em>Felix earns total $594 per week.</em>

Step-by-step explanation:

Felix’s sales are $53000.

So, <u>the amount of sales over $4800 will be</u>:  \$53000-\$4800= \$48200

Felix earns $450 per week and additional 3% of sales over $4800.

So, his additional income = (\$4800\times 0.03)=\$144

Thus, Felix's total income will be:  (\$450+\$144)=\$594

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