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Llana [10]
3 years ago
9

19-8c>3 what does it equal to

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0
Rearrange 19 × 8 × c-(3)>0

Pull out the like terms (factors) 16- 8c = -8 × (c-2)

Divide each side by. -8

Add 2 to each of the sides

So, C<2 would be your result
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BRAINLEST Find the sum of the first 6 terms of the infinite series: 1 - 2 + 4 - 8+...
arsen [322]

Answer:

-21

Step-by-step explanation:

1-2+4-8+16-32

=-21

6 0
3 years ago
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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>

7 0
9 months ago
A survey by American Express Spending reported that the average amount spent on a wedding gift for a close family member is $166
Marysya12 [62]
It would be B !!


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3 years ago
Lấy một ví dụ về hàm số dạngy = ax4 + bx2 + c sao cho phương trình y’ = 0 chỉ có một nghiệm.
ddd [48]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,
REY [17]

Answer:

a) 217

b) 1351

c) 5403

Step-by-step explanation:

Given that:

confidence interval (c) = 0.95

\alpha =1-0.95=0.05\\\frac{\alpha }{2} =\frac{0.05}{2}=0.025

The Z score of \frac{\alpha }{2} is from the z table is given as:

Z_{\frac{\alpha }{2} }=Z_{0.025}=1.96

Range = $45000 - $30000 = $15000

The standard deviation (σ) is given as:

\sigma=\frac{Range}{4} =\frac{15000}{4}=3750

Sample size (n) is given as:

 n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2

a) E = $500

n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{500} )^2 ≈ 217

b) n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{200} )^2 ≈ 1351

c) n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{100} )^2 ≈ 5403

7 0
3 years ago
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