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OLEGan [10]
1 year ago
12

A small cottage is 24 feet long by 40 feet wide the owners plan to double the width and increase the length of the cottage by 20

feet  how much larger will the area of the new cottage be 
Mathematics
1 answer:
Alla [95]1 year ago
4 0

Answer: The new cottage will be 2,560 square feet larger than the small cottage.

Step-by-step explanation:

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Josie deposited $1400 into a traditional IRA that grew to $3700 at her
Bogdan [553]

Answer:

THA ANSWER IS $3701!!!!

Step-by-step explanation:

I JUST DID IT

5 0
3 years ago
Which of the following could represent the graph of f(x)=x^4+x^3-8x^2-12x
Ad libitum [116K]

Answer:

Plot f(x)=x^4+x^3-8x^2-12x

Step-by-step explanation:

7 0
3 years ago
The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point
Softa [21]
y=\dfrac{e^{2x}}{4+3e^x}
\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}
\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}

Stationary points occur where the derivative is zero. The denominator is positive for all x, so we only need to worry about the numerator.

8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0

e^{2x}>0 for all x, so we can divide through:

8+3e^x=0\implies e^x=-\dfrac83

But e^x>0 for all x\in\mathbb R, so this function has no stationary points...

I suspect there may be a typo in the question.
6 0
3 years ago
Simplify 3 divided by 5-6i
Shtirlitz [24]

Answer:

\frac{15}{61}+\frac{18}{61}i

Step-by-step explanation:

\frac{3}{5-6i}

To simplify or to write in the form a+bi, you will need multiply the top and bottom by the bottom's conjugate like so:

\frac{3}{5-6i} \cdot \frac{5+6i}{5+6i}

Keep in mind when multiplying conjugates you only have to multiply first and last.

That is the product of (a+b) and (a-b) is (a+b)(a-b)=a^2-b^2.

(a+b) and (a-b) are conjugates

Let's multiply now:

\frac{3}{5-6i} \cdot \frac{5+6i}{5+6i}=\frac{3(5+6i)}{25-36i^2}

i^2=-1

\frac{15+18i}{25-36(-1)}

\frac{15+18i}{25+36}

\frac{15+18i}{61}

\frac{15}{61}+\frac{18}{61}i

5 0
3 years ago
Read 2 more answers
An economist wanted to investigate the relationship between office rents (the dependent variable) and vacancy rates. Accordingly
lesantik [10]

The regression line will be y = 20.64 - 0.3038x.

<h3>How to explain the regression?</h3>

It should be noted that regression is a statistical method that determine the relationship between the variables.

Here, the regression line will be y = 20.64 - 0.3038x. The slope coefficient is -0.03038 and the intercept is 20.460.

The slope coefficient defines that for a unit increase in the percentage of vacancy rate will reduce 0.3038 unit of monthly office rent.

Learn more about regression on:

brainly.com/question/25987747

#SPJ1

3 0
2 years ago
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