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Law Incorporation [45]
3 years ago
13

What is 10^5 as a decimal

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:

10^5=100000

Step-by-step explanation:

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HELP!! I HAVE THE ANSWERS I Just NEED TO SHOW THE WORK!!
tino4ka555 [31]

Answer:

8 times 5 on each side

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The height of a punted football can be modeled with the quadratic function 0.01x^2 + 1.18x+2.
Fantom [35]

The function of the path of the punted ball is a quadratic function which

follows the path of a parabola.

The correct responses are;

Part A: The coordinates of the vertex is \underline {(59, \, 36.81)}

Part B: The maximum height of the punt is <u>36.81 ft.</u>

Part C: The defensive player must reach up to <u>7.65 feet</u> to block the punt.

Part D: The distance down the field the ball will go without being blocked is approximately <u>119.67 ft.</u>

<u />

Reasons:

The function for the height of the punted ball is; h = -0.01·x² + 1.18·x + 2

Assumption; The distances are feet.

Part A: By completing the square, we have;

f(x) = -0.01·x² + 1.18·x + 2

100·f(x) = -x² + 118·x  + 200

-100·f(x) = x² - 118·x  - 200

x² - 118·x + (118/2)²= 200 + (118/2)²

(x - 59)² = 200 + (59)² = 3681

(x - 59)² - 3681

At the vertex, -3281 = -100·f(x)

∴ f(x) at the vertex = -3681/-100 = 36.81

\mathrm{\underline{Coordinate \ of \ the \ vertex = (59, \, 36.81)}}

Part B: The maximum height is given by the y-value at the vertex = 36.81 ft.

Part C: When <em>x</em> = 5, we have;

h = -0.01·x² + 1.18·x + 2

h = -0.01 × 5² + 1.18 × 5 + 2 = 7.65

The defensive player must reach up to 7.65 feet to block the punt

Part D: The distance the ball will go before it hits the ground is given by

the function, for the height as follows;

h = -0.01·x² + 1.18·x + 2 = 0

From the completing the square method, above, we get;

-0.01·x² + 1.18·x + 2 = 0

x² - 118·x  - 200 = 0

x² - 118·x + (118/2)²= 200 + (118/2)²

x² - 118·x + (59)²= 200 + (59)² = 3681

(x - 59)² = 3681

x - 59 = ±√3681

x = 59 ± √3681

x = 59 + √3681 ≈ 119.67

The distance down the field the ball will go without being blocked, x ≈ <u>119.67 ft.</u>

<u />

Learn more here:

brainly.com/question/24136952

5 0
3 years ago
There was 1\3of a box of cereal left. Four brothers shared it evenly. How much of the original box of cereal did each brother ge
Alenkasestr [34]

9514 1404 393

Answer:

  1/12 box

Step-by-step explanation:

Each brother gets 1/4 of the remaining 1/3 box, so ...

  (1/4)(1/3 box) = 1/(4·3) box = 1/12 box

Each brother gets 1/12 of the original box.

4 0
3 years ago
Suppose a cell doubles every hour write an exponetial expression for the number of cells created in 24 hours
shtirl [24]
General formula of geometric sequence
an = am × r^(n-m)

a₂₄ is the number of cells after 24 hours, a₀ is the number of cells before doubling
a₂₄ = a₀ × r⁽²⁴⁻⁰⁾
a₂₄ = 1 × 2⁽²⁴⁻⁰⁾
a₂₄ = 2²⁴
8 0
3 years ago
You leave home at 10 AM on a trip and arrive at 12 noon. The trip is a total of 100 miles. How fast are you going at 11AM
lara [203]

Answer:

50mph

Step-by-step explanation:

5 0
3 years ago
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