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Nastasia [14]
4 years ago
13

How many inches does 8 centemeters equal?

Mathematics
2 answers:
Alika [10]4 years ago
8 0
8 centimeters equals 3.15 inches.

Hope it helps!
Leona [35]4 years ago
8 0

Answer:


8 centimeters is 3.14961 inches, but you could round it up to 3.15.


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Solve for B and C please :)
lora16 [44]

Part A

h(d) = (-1/5)d^2 + 2d is the same as h(d) = -0.2d^2 + 2d because -1/5 = -0.2

I'll use x in place of d, and y in place of h(d) to get this equivalent equation: y = -0.2x^2 + 2x

Let's find the vertex of y = -0.2x^2 + 2x

Note how y = -0.2x^2 + 2x is in the form y = ax^2+bx+c with

a = -0.2

b = 2

c = 0

So the x coordinate of the vertex is

h = -b/(2a)

h = -2/(2(-0.2))

h = 5

Plug this value into the h(d) function to compute the corresponding y coordinate

h(d) = -0.2d^2 + 2d

h(5) = -0.2(5)^2 + 2(5)

h(5) = 5

Coincidentally, the x and y coordinates of the vertex are both the same. This wont be the case in general.

-----------------

Answers:

The vertex is located at (5,5)

The interpretation is that the highest the dolphin can get is 5 feet off the surface of the water and this occurs 5 horizontal feet away from the starting point. Imagine a parabola that opens downward to have a highest point at the vertex mentioned.

====================================

Part B

From part A above, we found x = 5 to be the x coordinate of the vertex. Simply double this value to get 10 as the answer. The reason why this works is because x = 0 is the starting x intercept, or the starting point which the dolphin jumps from. Also, its because of the hint given how the vertex is between each x intercept.

If the dolphin started from any other point on the x axis, then this trick of "double the result from part A" wouldn't apply.

Part C below shows that x = 0 and x = 10 are the two x intercepts. This helps confirm the proper range.

-----------------

Answer: 10 feet

====================================

Part C

h(d) = y = height of dolphin

we want to find the two x values that make y = 0, which help us figure out when the dolphin jumps out of the water and when it lands back in the water

--------

Plug y = 0 into the equation y = -0.2x^2 + 2x and solve for x

y = -0.2x^2 + 2x

-0.2x^2 + 2x = y

-0.2x^2 + 2x = 0

x(-0.2x + 2) = 0 .... factor out x

x = 0 or -0.2x + 2 = 0 .... zero product property

x = 0 or -0.2x = -2

x = 0 or x = -2/(-0.2)

x = 0 or x = 10

-----------------

Answer:

The two x intercepts are x = 0 and x = 10

This means the parabola crosses the x axis at the locations (0,0) and (10,0).

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3 years ago
The radius of Mars is about 3.4 times 10^3 km. What is the approximate surface area of Mars? Use the formula for the surface are
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Answer: the answer is a hard doosie

Step-by-step explanation:

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What is the value of x that makes l1||l2? <br><br> A. 14<br> B. 11.6<br> C. 10<br> D. 26.7
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Answer:

10

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How many men or women are there or else we can't find the answer and like the other person said you have to finish the question

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I need to draw an open shape made up of one or more curves
GalinKa [24]
An open shape is made up of line segments. In this type of shape there is at least one line segment that is not connected to anything at one of its endpoints, so the shape is not a closed figure. So, I am going to provide four graphs for this problem.

1. Parable

This is given by the curve:

y=x^{2}

See figure 1.

2. Cubic function.

This function is given by:

y=x^{3}

see figure 2

3. Quartic function

This curve is given by:

y=x^{4}

see figure 3

4. Cosine function

This function is given by this equation:

y=cos(x)

See figure 4.

All these curves are open shapes. So, we can find a new open shape as the sum of all these curves as follows:

y=x^{2}+x^{3}+x^{4}+cos(x)

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