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kotykmax [81]
3 years ago
10

Help me with this please

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0
Three I think, I’m not sure tho so I would get another opinion
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A hammock that hangs between two trees makes a parabola shape that has the equation y = 0.4(x- 3)² +1, where x is the distance f
34kurt

Answer:

A. The lowest point of the hammock is at the point 1 meters above the ground and 3 meters from one end of the hammock

B. The two trees are 6 meters away from one another

Step-by-step explanation:

The given equation of the parabola representing the hammock is as follows;

y = 0.4·(x - 3)² + 1

The general equation of a parabola is a·(x - h)² + k;

Where the coordinates of the vertex point of the parabola, which is the lowest (or highest, furthest) point on the vertex is (h, k) = (3, 1)

Therefore, we have;

A, The coordinates of the lowest point on the hammock is (3, 1)

Therefore, the lowest point of the hammock is at 1 meters above the ground and 3 meters from one end of the hammock

B.  Given that the distance from one end is "x", we have;

The height at which the hammock is attached is given as the point where x = 0 as follows;

Given that the vertex of the parabola represents the axis of symmetry of the parabola, we have that the horizontal distance from one end of the hammock to the vertex point of the parabola that the hammock forms is (3 - 0) meters = 3 meters

Therefore, by the definition of symmetry, the distance from the vertex point to the other end of the parabola that the hammock forms is also 3 meters

From which we have, the distance the two trees are from one another is 3 meters + 3 meters = 6 meters.

4 0
3 years ago
Plz help I will mark brainliest if correct ​
Alekssandra [29.7K]

Answer:

A ................................

6 0
3 years ago
Read 2 more answers
What is continuous​ compounding? how does the apy for continuous compounding compare to the apy​ for, say, daily​ compounding? e
aliya0001 [1]
Continuous compounding is the mathematical limit that compound interest can reach.

It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A  every infinitesimally small  instant.
The limit  of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).

Say we invest  $1000  at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-

1000 ( 1 + 0.02/365)^365 = $1020.20

with continuous compounding this will be 

1000 * e^1  =  $2718.28  
4 0
3 years ago
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Work out<br><img src="https://tex.z-dn.net/?f=1%20%5Cfrac%7B2%7D%7B3%7D%20-%20%20%5Cfrac%7B11%7D%7B15%7D%20%20" id="TexFormula1"
zhuklara [117]

1\dfrac{2}{3}-\dfrac{11}{15}=1\dfrac{2\cdot5}{3\cdot5}-\dfrac{11}{15}=1\dfrac{10}{15}-\dfrac{11}{15}=\dfrac{25}{15}-\dfrac{11}{15}=\dfrac{14}{15}

6 0
3 years ago
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Which expression is equivalent to 10a + 6?
Gnoma [55]

The answer is: 2(5a + 3)

hope this helps :)

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2 years ago
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