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Tom [10]
3 years ago
7

You are a volunteer at a physical therapy clinic. a set of stairs you use to help patients is shown with it's dimensions. What i

s the volume of the set of stairs?

Mathematics
1 answer:
vazorg [7]3 years ago
8 0
The volume formula is area of base×height. In this case, we are working with rectangles, so the formula is l×w×h. We have to find the volume of each block and add them together. Top rectangle: 12×30×4=1440. Middle rectangle: 30×36×4=4320. Bottom rectangle: 30×60×4=7200. 7200+4320+1440=12960 inches squared.
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Given the three vertices W(−1, 4), X(−3, −2), and Y(3, −4), what are the coordinates of Z that make quadrilateral WXYZ a square?
prohojiy [21]

Answer:

I don't see how the three existing points could ever become a square with the addition of a foiurth point.

Step-by-step explanation:

See the attached image.

A square would require that all angles be 90 degrees.  The given points are the top three points on the graph.  If we enter the two equations that intersect these points (blue and black lines), we can see that the angle on top is not 90 degrees.  I can't see that this could ever be a square with a fourth point, z.  I did find a value for z that make the four points a parallelogram.

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2 years ago
How many lines are determined by two points? <br><br> 0 <br><br> 1 <br><br> 2 <br><br> infinite
Elena L [17]
1 line, because it’s between 2 points
3 0
3 years ago
Read 2 more answers
Identify the graph of 5-i
Minchanka [31]

Answer:

I not sure what the question is

Step-by-step explanation:

5 0
2 years ago
Which of these statements is true for f(x)=(1/10)^x
lana66690 [7]

Step-by-step explanation:

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

Analyzing option A)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

Putting x = 1 in the function

f\left(1\right)=\:\left(\frac{1}{10}\right)^1

f\left(1\right)=\:\left\frac{1}{10}\right

So, it is TRUE that when  x = 1 then the out put will be f\left(1\right)=\:\left\frac{1}{10}\right

Therefore, the statement that '' The graph contains \left(1,\:\frac{1}{10}\right)  '' is TRUE.

Analyzing option B)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

The range of the function is the set of values of the dependent variable for which a function is defined.

\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k

k=0

f\left(x\right)>0

Thus,

\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}

Therefore, the statement that ''The range of f(x) is y > \frac{1}{10} " is FALSE

Analyzing option C)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is -\infty \:

Thus,

\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Therefore, the statement that ''The domain of f(x) is x>0 '' is FALSE.

Analyzing option D)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

#learnwithBrainly

3 0
3 years ago
Read 2 more answers
1.) What is the maximum number of zeros for the following function<br> f(x) = x - 2x2 - 11x + 12
Lesechka [4]

Answer:

-14x+12

Step-by-step explanation

f(x)=-14

4 0
3 years ago
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