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ziro4ka [17]
3 years ago
14

A graph that has a finite or limited number of data points is

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

a discrete graph (I had to look this one up)

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Pls help me quickly
Eduardwww [97]
9^3 is in exponential form
8 0
3 years ago
In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

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

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0
2 years ago
Let f(x)=e^x and G(x)=x+6. What are the domain and range of g(f(x))?
Lena [83]

Answer:

Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively

Step-by-step explanation:

We have the functions, f(x) = eˣ and g(x) = x+6

So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.

3 0
2 years ago
A can of juice is 6 inches high, and its base has a diameter
xenn [34]

Answer:

24 pie, or, 75.36 inches cubed

Step-by-step explanation:

The formula for volume of a cylinder is pie*radius^2*height

The radius is half the diameter, so the radius is 2 inches.

Plug in given information into the formula and solve.

4 0
3 years ago
A doctor develops the model y = 36.57x+4 for the number of words a toddler can speak (x) versus the months that have passed sinc
Rashid [163]
Either it probably is 4 which is the months or years that the toddler is and 36.57 would be the amount of words each month or year.
4 0
3 years ago
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