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3 years ago

Is there

Mathematics

2 answers:

Basile [38]3 years ago

8 0

Answer:

Step-by-step explanation:

no because 29 is a prime number, meaning its only factors are 1 and 29. if you were to have more than 1 book on each shelf then you would go into half and quarters of books.

ryzh [129]3 years ago

6 0

Answer:

29 is only divisible by 1 and 29

you could either do one on each shelf or all 29 on one shelf

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Select all the expressions that are equivalent to 2•2•2•2•2•2

aliina [53]

Answer:

2^6, 64

Step-by-step explanation: The simplified version is two to the fifth power and the answer is 64. Those are the two I know

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3 years ago

Read 2 more answers

I need help with my homework please answer this correctly

Alla [95]

98,561

By following the rules for each digit, your answer should be 98,561

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3 years ago

You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co

alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

$P=2x+2y$

On the other hand, since the available money to buy fence is D dollars,

$\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}$

Furthermore, the area of the enclosed land is given by

$A=xy$

Solving the second equation for x,

$\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}$

Substituting into the equation for the area,

$\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}$

To find the maximum possible area, solve A'(y)=0, as shown below

$\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}$

Therefore, the corresponding value of x is

$\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}$ <h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2> $\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}$ <h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

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1 year ago

The price of a technology stock has dropped to $9.64 today. Yesterday's price was $9.75. Find the percentage decrease. Round you

Ket [755]

Answer:

1.1%

Step-by-step explanation:

975-1.1%=964.275

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2 years ago

18. A secretary works a 40-hour week and is paid a basic rate of $22.50 per hour.

tensa zangetsu [6.8K]

40 hours at $22.50 is $900. The additional 12 hours at $33.75 is $405.
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3 years ago