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marusya05 [52]
3 years ago
15

What axis does the independent quantity go on?

Mathematics
1 answer:
Contact [7]3 years ago
5 0
Horizontal
The Axes. The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis
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The volume of the cone is 130 units^3. Solve for x.<br> Height: 13<br> Radius: x
Gwar [14]
V=(1/3)hpir^2
v=130
h=13
r=x

130=(1/3)(13)pix^2
times both sides by 3
390=13pix^2
divide both sides by 13
30=pix^2
divide both sides by pi
30/pi=x^2
sqrt both sides
x≈3.09
radius is abou 3 units
3 0
2 years ago
The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Gr
siniylev [52]
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or  y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
5 0
3 years ago
Read 2 more answers
the point (4,0) lies on a circle with the center at the orgin. what is the area of the circle to the nearsest hundreth?
kvasek [131]

Answer:

50.27 units²

Step-by-step explanation:²

The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius.  Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.

The formula for the area of a circle is A = πr².

Here, with r = 4, the area is A = π(4 units)² = 16π units², or

50.27 units² to the nearest hundredth.

3 0
3 years ago
Pls help and thank you!
lyudmila [28]

Answer:

0.052 acre/min

Step-by-step explanation:

6 1/4 acres   /   2 hours   times the conversion factor   (1 hr   /   60 min)  comes out to:


6.25

----------------- = 0.052 acre/min

2 (60 min)

---------


8 0
2 years ago
Read 2 more answers
Lucy wants to be exempt from her semester exam. In order for that to happen, she has to average an 85 over 3 test grades. Her fi
anastassius [24]

Answer:

<em>Grades to be scored in 3rd exam = 88</em>

Step-by-step explanation:

Given that average of 3 numbers is 85.

First two numbers are 81 and 86.

To find:

3rd number so that average is 85

Solution:

Let the third number = x

Formula for average is:

Average = \dfrac{Sum\ of\ numbers}{Total\ count\ of\ numbers}

Here, sum of numbers = 81+86+x =167+x

Total count of numbers = 3

85 = \dfrac{167+x}{3}\\\Rightarrow x=255-167\\\Rightarrow \bold{x=88}

<em>Grades to be scored in 3rd exam = 88</em>

8 0
3 years ago
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