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sattari [20]
3 years ago
12

8. The length of a swimming pool is 5 feet shorter than the width. Let w represent the width. Which expression gives the length

of the swimming pool? A. W + 5 C. W + 5 В. W - 5 D. w x 5​
Mathematics
1 answer:
Nikitich [7]3 years ago
3 0

Answer:

B. W - 5

Step-by-step explanation:

The length is shorter than the width of the swimming pool by 5.

Width = W

Therefore the length of the pool would be W - 5

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In San Diego the average cost of gas is $4.15 per gallon. If a car has a fuel efficiency of 24 miles per gallon and the owner of
KIM [24]

Answer:

$25.94

Step-by-step explanation:

150 ÷ 24 = 6.25

6.25 × 4.15 = 25.9375

25.94

3 0
3 years ago
Need help with Calculus 1 inverse trig functions
lidiya [134]

Answer:

\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}

Step-by-step explanation:

<u>The Derivative of a Function</u>

The derivative of f, also known as the instantaneous rate of change, or the slope of the tangent line to the graph of f, can be computed by the definition formula

\displaystyle f'(x)=\lim\limits_{\Delta x \rightarrow 0}\frac{f(x+\Delta x)-f(x)}{\Delta x}

There are tables where the derivative of all known functions are provided for an easy calculation of specific functions.

The derivative of the inverse tangent is given as

\displaystyle (tan^{-1}u)'=\frac{u'}{1+u^2}

Where u is a function of x as provided:

y=3tan^{-1}(x+\sqrt{1+x^2})

If we set

u=(x+\sqrt{1+x^2})

Then

\displaystyle u'=1+\frac{2x}{2\sqrt{1+x^2}}

\displaystyle u'=1+\frac{x}{\sqrt{1+x^2}}

Taking the derivative of y

y'=3[tan^{-1}(x+\sqrt{1+x^2})]'

Using the change of variables

\displaystyle y'=3[tan^{-1}u]'=3\frac{u'}{1+u^2}

\displaystyle y'=3\frac{u'}{1+u^2}=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+(x+\sqrt{1+x^2})^2}

Operating

\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+x^2+2x\sqrt{1+x^2}+1+x^2}

\boxed{\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}}

8 0
3 years ago
Explain how using basic facts can help you find 10×20×30×40 mentally?
Katena32 [7]
So all you have to do is take the first numbers of each multiple and multiply them. 
1 x 2 x 3 x 4 = 24 
Now you just add the 4 zeros to your answer. 
240,000 

Our answer even checks! 
10 x 20 x 30 x 40 = 240,000 

Good Luck! :)
3 0
3 years ago
What's 1/3 of $19.95
ki77a [65]
Answer: 6.65

Explanation: 1995/3= 6.65
7 0
3 years ago
Read 2 more answers
***WILL GIVE 25 POINTS, THANKS, STARS, + BRAINLIEST ANSWER***
Nutka1998 [239]
I hope I help, the answer should be -120 if I'm. Correct
3 0
3 years ago
Read 2 more answers
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