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2 years ago

6

Allison is opening up a jewelry business. She spent $56 on supplies. After $77 in sales to customers, what integer represents he

r net profits?

1 answer:

Nuetrik [128]2 years ago

8 0

Answer:

21

Step-by-step explanation:

77 - 56 = 21

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a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and

fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

$x(t) = -4.9t^{2} + 9.8t$

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format $x(t) = at^{2} + bt + c$

The vertex is the point $(t_{v}, x(t_{v}))$ , in which

$t_{v} = -\frac{b}{2a}$

In this question:

$x(t) = -4.9t^{2} + 9.8t$

So $a = -4.9, b = 9.8$

Vertex:

$t_{v} = -\frac{9.8}{2*(-4.9)} = 1$

The time taken for the upward motion is 1 second.

$x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9$

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

$-4.9t^{2} + 9.8t = 0$

$4.9t^{2} - 9.8t = 0$

$4.9t(t - 2) = 0$

$4.9t = 0$

$t = 0$

Or

$t - 2 = 0$

$t = 2$

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

5 0

2 years ago

What is the expression of 3^9

nordsb [41]

Well, 3^9 is the same thing as
3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
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2 years ago

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Volgvan

Answer:

D.............................................

Step-by-step explanation:

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2 years ago

A coin is tossed 10 times resulting in 7 heads and 3 tails. The same coin is tossed 1000 times resulting in 510 heads and 490 ta

KiRa [710]

The answer is <span>C. 50%.

The theoretical probability has nothing to do with the experiments. So, we will forget results of the experiment and think about theoretical probability. A coin has two sides - head and tail. The probability to get head is 1/2 = 0.5 = 50%. This is because if you toss the coin and you get head, head is one probability of two probability in total (head and tail). The same situation is with tail. Tail is .</span><span>one probability of two probability in total (head and tail).</span>

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2 years ago

Simplest form equivalent to 3y + y + 2y - 4y

bixtya [17]

Answer:

4y+6y

Step-by-step explanation

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3 years ago

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