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vodomira [7]
3 years ago
8

A female sea turtle buries 200 eggs in the sand. After the baby turtles hatch they hurry to make it to the relative safety of th

e ocean. Of the 176 babies that hatched, 124 were eaten by birds, 37 were eaten by other predators, and 3 ran the wrong direction. Suppose that just after the eggs were laid that you marked one with an X. What is the probability that your egg hatched and the baby turtle made it to the ocean?
Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer: 12%

explanation: i subtracted the ones that had been eaten,  and the ones that ran off and solved for x.

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Solve (2x+3) (x+4)= 1
Digiron [165]

To solve, simply layout an equation.

(2x+3)(x+4)=1

Step 1: Simplify both sides of the equation.

2x2+11x+12=1

Step 2: Subtract 1 from both sides.

2x2+11x+12−1=1−1

2x2+11x+11=0

Step 3: Use quadratic formula with a=2, b=11, c=11.

x=-b±√b^2-4ac/2a

So, the answer for this problem is:

x=-11/4+1/4√33 or -11/4+-1/4√33

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Best Method using system of equations<br><br><br> x=4y+8<br> 2x-8y=-3
Mkey [24]
In this case, since one equation is in the form of x=, substitution would be best for this problem.  Simply plug in 4y + 8 in place of x in the second equation, solve for y, then plug that value into the first equation to find x.
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3 years ago
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A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is
Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

\Delta s = s_2-s_1

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

\Delta x = x_2-x_1

So we can use the given points P1:(x_1,y_2)  \text{  and  } P_2: (x_2,y_2) on the displacement formula

\Delta x = 15-4\\\Delta x = 11

In the same manner we can look at the y components of those points to find the vertical displacement

\Delta y = 17-8\\\Delta y =9

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

\tan(\theta) = \cfrac{\Delta y}{\Delta x}

Solving for the angle we get

\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)

Replacing values

\theta = \tan^{-1}\left(\cfrac{9}{11}\right)

Which give us

\theta = 39.3^\circ

So the projection angle is 39.3 degrees.

7 0
3 years ago
Please help me w this!!
Digiron [165]

Answer:

(-15, 14)

Step-by-step explanation:

Let the coordinates of Z be (x,y).

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6 0
2 years ago
Graph + &gt; -1.
andrew-mc [135]

You have the right idea but the endpoint is at the wrong location. Instead, the green dot should go at -1. The shading is to the right. We use a closed filled in circle here (instead of an open hole) to tell the reader "include the endpoint". So -1 is part of the solution set.

In short, the graph consists of a closed filled in circle at -1 with shading to the right. This visually describes all values that are larger than -1, or equal to -1.

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