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Bumek [7]
3 years ago
14

If 1/2 +2/5s =s-3/4, what is the value of s?

Mathematics
2 answers:
jeyben [28]3 years ago
8 0

Answer:

s= 25/12 or 2.0833333

Step-by-step explanation:

explanation in pictures

BabaBlast [244]3 years ago
5 0

Answer:

ur answer to this is

s=25/12

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The face of a clock has a circumference of 63 in. What is the area of the face of the clock?
ryzh [129]

Answer:

The area of the clock = 315.41\ inch^{2}

Step-by-step explanation:

We have been given the face of the clock that is 63\ in

So that is also the circumference of the clock.

Since the clock is circular in shape.

So 2\pi(r)=63\ inch

From here we will calculate the value of radius (r) of the clock that is circular in shape.

Then 2\pi(r)=63\ inch =\frac{63}{2\pi} = 10.02\ in

Now to find the area of the clock we will put this value of (r) in the equation of area of the circle.

Now \pi (r)^{2}=\pi(10.02)^{2}=315.41\ in^{2}

So the area of the face of the clock =315.41\ in^{2}

6 0
3 years ago
Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


5 0
4 years ago
Write a function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right
miss Akunina [59]

The  function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x

<h3>Translation of functions</h3>

Translation is a technique used to change the position of an image on an xy-plane. Given the function below;

f(x) = x +2

If the expression is translation 2 units to the right, the translation rule will be:

g(x) = f(x )- 2

Substitute

g(x) = x + 2 - 2

g(x) = x

Hence the  function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x

Learn more on translation here: brainly.com/question/12861087
#SPJ1

6 0
1 year ago
A recipe to make 12 cupcakes includes: ¼ cup of butter, 1¼ cups of flour, and 2/3 cup of sugar. What amount of each ingredient i
Korolek [52]

Answer: Use the same recipe but just throw away 4 cupcakes

5 0
3 years ago
Please anybody help me in this
Simora [160]

Answer:

<h2>a) 0.38</h2><h2>b) 0.62</h2><h2>c) 0.78</h2><h2>d) 0.03</h2><h2>e) 0.02</h2><h2>f) 0.62</h2><h2>g) 0.38</h2>

Step-by-step explanation:

a)

Probability of a owner to be moved = \frac{total owner}{total Americans} = \frac{14.8}{39} = 0.379 ≅ 0.38

b)

Probability of a renter to be moved = \frac{total renters}{total Americans} = \frac{24.2}{39} = 0.62

c)

Probability of a person who moved in the same state = \frac{Persons who moved to the same state}{Total Americans} = \frac{30.4}{39} = 0.779 ≅ 0.78

d)

Probability of a person who moved to a different country = \frac{Total moved to different country}{Total Americans} = \frac{1.3}{39} = 0.033 ≅0.03

e)

Probability of a owner who moved to a different country = \frac{Owners that moved to different country}{Total people who moved to different country} = \frac{0.3}{14.8} = 0.02

f)

Probability of a renter moving in the same state = \frac{Renter that moved in the same state}{Total persons moved in the same state} = \frac{18.7}{30.4} = 0.615 ≅ 0.62

g)

Probability of an owner moved to different state = \frac{Owners moved in different state}{Total moved in different state} = \frac{2.8}{7.3} ≅0.38

3 0
3 years ago
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