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vfiekz [6]
3 years ago
7

Mason says that a point with the coordinates (4, 4) lies on a circle centered at the origin with a radius of 4 units. Is Mason c

orrect? Explain why or why not.
Mathematics
1 answer:
marusya05 [52]3 years ago
3 0

yes, he is right all distance is the same from the origin point to any side of the circle same as radius which is half a line starts at any side of the circle and ends at the origin point.

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Use f(x) = 1)2 and f^-1(x) = 2x to solve the problems. a) f(2) b)f^-1(1) c)f^-1(f(2))​
Luden [163]

a) f (2)  = 1

b) f^{-1}(1)=2

c) f^{-1}(f(2))=2

<u>Step-by-step explanation:</u>

f^{-1} - Indicates that we have to find the inverse of the function

Given data:

f(x)=\left(\frac{1}{2}\right) x --------> eq.1

f^{-1}(x)=2 x ---------> eq.2

To find f(2), f^{-1}(1), f^{-1}(f(2))

Case a)

Now, substitute x = 2 in the equation 1 to find f (2)

 f(2)=\left(\frac{1}{2}\right) \times 2=1

Case b)

Now, substitute x = 1 in the equation 2 to find  f^{-1}(1)

  f^{-1}(1)=2(1)=2

Case c)

In general,

    f^{-1}(f(x))=f\left(f^{-1}(x)\right)=x

Thereby,

   f^{-1}(f(2))=2 \text { where } x=2

5 0
3 years ago
Solve: 512 x-2/ (1/64)3x =512
Ludmilka [50]

Answer:

x=4

Step-by-step explanation:

3 0
3 years ago
Camryn puts $400 into a savings account that earns 6% annually. the amount in her account can
mylen [45]

The exponential function that approximates the amount of money in her account using a weekly growth rate is:

c_w(t) = 400(1.001154)^{\frac{t}{52}}

<h3 />

What is an exponential function?

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal

In this problem, the yearly function is:

c(t) = 400(1.06)^t

Considering that a year has 52 weeks, we have that:

0.06/52 = 0.001154

Hence:

c_w(t) = 400(1.001154)^{\frac{t}{52}}

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

7 0
2 years ago
The formula for the volume of a cone is V = r²h, where r is the radius of the
pshichka [43]

Answer:

<u>h = V/r²</u>

Step-by-step explanation:

The formula is :

  • V = r²h (actually 1/3πr²h in real life)

Solving :

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  • V/r² = r²h/r²
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3 0
3 years ago
Whats 63/100-5/10? with an good 5th grade explanation​
Ilia_Sergeevich [38]

Answer:  .13

Step-by-step explanation:

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I took 63 and divided it by 100 to get .63 and took 5 and divided it by 10 to get .50 so I took them and subtracted them to get .13

4 0
3 years ago
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