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3 years ago

Solve each proportion algebraically. show you work. 9/15=m/25

Mathematics

1 answer:

weeeeeb [17]3 years ago

7 0

Answer:

m=15

Step-by-step explanation:

15 x 5 = 75 = 25 x 3

9 x 5=45 so 45/75 = 3m/75

45/3=15

m=15

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A deep sea diver is 4.5m below the water level At what depth he is now ? At what height is he now

oee [108]

Answer:

Step-by-step explanation:

Below the sea level should be mentioned by negative value

So, It is = - 4.5

7 0

3 years ago

How does the graph of f(x)=3lx+2l+4 relate to its parent function?

Sergeeva-Olga [200]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

now, with that template above in mind, let's see this one

$\bf parent\implies f(x)=|x|
\\\\\\
\begin{array}{lllcclll}
f(x)=&3|&1x&+2|&+4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

A=3, B=1, shrunk by AB or 3 units, about 1/3
C=2, horizontal shift by C/B or 2/1 or just 2, to the left
D=4, vertical shift upwards of 4 units

check the picture below

7 0

3 years ago

Each of the four sides of a swimming pool measures 12 m the pool is 6 m deep how much water will be needed to fill completely

Alex_Xolod [135]

The amount of water needed to fill the swimming pool completely is 864 cubic meters.

Given that each of the four sides of a swimming pool measures 12 m the pool is 6 m deep.

"Volume" is a mathematical quantity that indicates the amount of three-dimensional space occupied by an object or surrounding surface. Volume units are cubic units like m³, cm³, in³, etc.

As we know, the swimming pool is in cubic shape.

So, we will find the volume of cube using the formula V=l×b×h.

Here, l=12m, b=12m and h=m.

Now, we want to substitute the values in the formula, we get

V=12m×12m×6m

V=864m³

Hence, the amount of water needed to fill completely the swimming pool whose each of the four sides of a swimming pool measures 12 m the pool is 6 m deep is 864 cubic meters.

Learn more about the volume of cube from here brainly.com/question/1972490

#SPJ9

4 0

2 years ago

Which expression is equal to a + (b + c)?

stellarik [79]

A is the correct answer

7 0

3 years ago

Read 2 more answers

Classify 4x^5+2x^4-5x^3+12 by number of terms

Semenov [28]