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makkiz [27]
3 years ago
12

4 out of 9 dogs weigh less than 20 pounds what is the decimal equivalent to the number of dogs weighing under 20 lb

Mathematics
1 answer:
Eduardwww [97]3 years ago
6 0
I believe the answer is 4 

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How do you identify a quadratic trinomial?
velikii [3]
Google it.  ('>')...................................................

5 0
3 years ago
What are the domain and range of f (x) = log (x minus 1) 2?.
statuscvo [17]

You can use the definition of logarithm and the fact that a positive number raised to any power will always stay bigger than 0.

The domain of the given function is  {x | x > 1 and a real number }

The range of the given function is \mathbb R (set of real numbers)

<h3>What is the definition of logarithm?</h3>

If a is raised to power b is resulted as c, then we can rewrite it that b equals to the logarithm of c with base a.

Or, symbolically:

a^b =  c \implies b = log_a(c)

Since c was the result of a raised to power b, thus, if a was a positive number, then a raised to any power won't go less or equal to zero, thus making c > 0

<h3>How to use this definition to find the domain and range of given function?</h3>

Since log(x-1) is with base 10 (when base of log isn't specified, it is assumed to be with base 10) (when log is written ln, it is log with base e =2.71828.... ) thus, we have a = 10 > 0 thus the input x-1 > 0 too.

Or we have:

x > 1 as the restriction.

Thus domain of the given function is {x | x > 1 and a real number }

Now from domain, we have:

x >  1\\&#10;x-1 > 0\\&#10;log(x-1) > -\infty\\&#10;log(x-1) + 2 > -\infty\\&#10;f(x) > -\infty (log(x-1) > -infinity since log(0) on right side have arbitrary negatively large value which is denoted by -infinity)

Thus, range of given function  is whole real number set \mathbb R (since all finite real numbers are bigger than negative infinity)

Thus, the domain of the given function is  {x | x > 1 and a real number }

The range of the given function is \mathbb R (set of real numbers

Learn more about domain and range here:

brainly.com/question/12208715

8 0
2 years ago
Giv
lesya [120]

Answer:

The corresponding point for the function  f(x - 4) is (4 , 1)

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- If the function f(x) translated horizontally to the right by h units, then

 the new function g(x) = f(x - h)  

- If the function f(x) translated horizontally to the left by h units, then

 the new function g(x) = f(x + h)  

- The given function is f(x)

- Point (0 , 1) lies on the graph of f(x)

- We need to find the corresponding point of (0 , 1) for the function

 f(x - 4)

- The function f(x - 4) means that f(x) is translated 4 units to the right

∵ x subtract by 4

∴ f(x) translated horizontally four units to the right

- If any point (x , y) translated 4 units to the right, then x-coordinate

 of the point will added by 4 to give image (x + 4 , y)

∵ The point is (0 , 1)

∴ Its image is (0 + 4 , 1)

∴ Its image is (4 , 1)

* The corresponding point for the function  f(x-4) is (4 , 1)

5 0
3 years ago
a closed circular water tank in a subdivision is made up of concreate aluminum. its outer diameter is 8.4 m and its height is 12
m_a_m_a [10]

Answer:

122.7792 sq. m

Step-by-step explanation:

diameter= 8.4 m

therefore, radius = r = 4.2 m.......( as radius is 1/2 of diameter)

height = h= 12 m

only the exterior is to painted so the total surface area of the cylinder is taken,

total surface area of cylinder = 2π r( h+r)

=2* 3.14* 4.2*(12+4.2)

=122.7792 sq. m

5 0
3 years ago
There are 25 students names in a hat. You choose 5 names. Three are boys names and two are girls names.How many of the 25 names
iren [92.7K]
5 is the answer your prop
5 0
3 years ago
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