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olya-2409 [2.1K]
3 years ago
11

To the nearest tenth of a second, how much time would it take the penny to hit the

Mathematics
2 answers:
lyudmila [28]3 years ago
6 0

B. 0.6 seconds

Because they want you to round to the nearest 10th and 0 is the ground.

vovangra [49]3 years ago
4 0

Answer:

Option B. 0.6 seconds

Step-by-step explanation:

As given in the table at time t = 0 the maximum height of the penny is 2 meters.

In simpler way we can say the penny has been throw from a height of 2 meters.

Now this process can be represented by the equation of motion

h=ut+\frac{1}{2}gt^{2}

For free fall u = 0

So h=\frac{1}{2}gt^{2}

where h = 2 meters

and g = 9.81 m/sec²

By putting these values in the equation

2=\frac{1}{2}(9.81)(t)^{2}=4.905t^{2}

t^{2}=\frac{2}{4.905}=0.4077

t = √0.4077 = 0.6385 seconds

or t = 0.6 seconds

Answer is option B. 0.6 seconds

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Find the distance between the points (1,8) and (9, 2).
grin007 [14]

Answer:

distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2  }\\\\

             =\sqrt{(9-1)^2+(2-8)^2  }\\\\=\sqrt{8^2 + 6^2}\\\\=\sqrt{64 +36 }\\\\=\sqrt{100} = 10units

6 0
3 years ago
The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
POLS HELP ME NOWWWW I DONT UNDERSTAND IT
Leni [432]

Answer:

B

Step-by-step explanation:

using the equation 'y = 12x', if you plug in zero for 'x' you get zero for 'y'; the only graph that has the point (0, 0) is (b)

also, the x-axis represents time so, as time increases, so does the number of calories burned (which is measured on the y-axis) -- not staying flat or decreasing

5 0
3 years ago
Pls answer and you will be blessed :)
IRINA_888 [86]

Answer:

2

Step-by-step explanation:

It is the only one that makes sense

7 0
3 years ago
Read 2 more answers
−3 1/3 ÷ 9= What I need it now!
Contact [7]

Step 1. Convert 3 1/3 to improper fraction.

- 3 * 3 + 1/3 ÷ 9

Step 2. Simplify 3 * 3 to 9

-9 + 1/3 ÷ 9

Step 3. Simplify 9 + 1 to 10

-10/3 ÷ 9

Step 4. Use this rule: a ÷ b/c = a * c/b

-10/3 * 1/9

Step 5. Use this rule: a/b * c/d = ac/bd

-10 * 1/3 * 9

Step 6. Simplify 10 * 1 to 10

-10/3 * 9

Step 7. Simplify 3 * 9 to 27

-10/27


8 0
3 years ago
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