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Helga [31]
3 years ago
8

Consider this system of equations, where function fis quadratic and function g is linear:

Mathematics
1 answer:
borishaifa [10]3 years ago
7 0
You can use this to help you to find the answer

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Write the standard equation for the circle.
Kay [80]
The equation of the circle with center (h, k) and radius r is
.. (x -h)^2 +(y -k)^2 = r^2

1. selection D matches the specification of the circle

2. selection A matches the given equation

3. None of the offered selections matches
.. (x -3)^2 +(y -5)^2 = 74

4. selection A matches the requirements

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3 years ago
The two pentagons shown are similar. What is the value of x?
Shtirlitz [24]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
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20 POINTS! WILL MAKE BRAINLIEST
SVETLANKA909090 [29]
1.a sphere with a radius of three units

 
By definition, the volume of a sphere is:
 V = ( \frac{4}{3} ) (\pi) (r ^ 3)

 Substituting values we have:
 V=(\frac{4}{3})(\pi)(3^3)
 Rewriting we have:
 V = (4) (\pi) (3 ^ 2)

V = (4) (\pi) (9)

V = 36\pi

 2.a cone with a diameter of twelve units and a height of three units
 
 By definition, the volume of a cone is given by:
 V =  \frac{1}{3}  (\pi) (r ^ 2) (h)

 Substituting values we have:
 V =  \frac{1}{3} (\pi) ((\frac{12}{2}) ^ 2) (3)

 Rewriting we have:
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V = 36\pi
6 0
3 years ago
An Internet reaction time test asks subjects to click their mouse button as soon as a light flashes on the screen. The light is
Ganezh [65]

Answer:

(a) 0.20

(b) 31%

(c) 2.52 seconds

Step-by-step explanation:

The random variable <em>Y</em> models the amount of time the subject has to wait for the light to flash.

The density curve represents that of an Uniform distribution with parameters <em>a</em> = 1 and <em>b</em> = 5.

So, Y\sim Unif(1,5)

(a)

The area under the density curve is always 1.

The length is 5 units.

Compute the height as follows:

\text{Area under the density curve}=\text{length}\times \text{height}

                                          1=5\times\text{height}\\\\\text{height}=\frac{1}{5}\\\\\text{height}=0.20

Thus, the height of the density curve is 0.20.

(b)

Compute the value of P (Y > 3.75) as follows:

P(Y>3.75)=\int\limits^{5}_{3.75} {\frac{1}{b-a}} \, dy \\\\=\int\limits^{5}_{3.75} {\frac{1}{5-1}} \, dy\\\\=\frac{1}{4}\times [y]^{5}_{3.75}\\\\=\frac{5-3.75}{4}\\\\=0.3125\\\\\approx 0.31

Thus, the light will flash more than 3.75 seconds after the subject clicks "Start" 31% of the times.

(c)

Compute the 38th percentile as follows:

P(Y

Thus, the 38th percentile is 2.52 seconds.

4 0
3 years ago
(05.04 MC) At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 fe
xenn [34]

Answer:

Step-by-step explanation:

You're looking for the circumference here, which is the distance around the outside of a circle.  The formula is

C = πd or C = 2πr

Since we are given the diameter, we will use that one:

C = (3.14)(18) so

C = 56.5 feet

3 0
3 years ago
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