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Naily [24]
1 year ago
8

Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his

rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Neighbor A:

Neighbor B:

Neighbor C:

Neighbor A can put up three 8 foot sections of wood fencing in two hours.
Neighbor B can put up 15 feet of chain link fencing each hour.
Neighbor C can put up 1 yard of vinyl fencing in half an hour.

Which neighbor's fencing project will take the least amount of time to complete?
Which neighbor's fencing project will take the most amount of time to complete?
Mathematics
1 answer:
diamong [38]1 year ago
6 0

Answer:

i think c

Step-by-step explanation:

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A company pays its commercial agents 5% of any deal. What should the value of a deal be for the agent to earn $2000?
Nataly_w [17]
The value of the deal should be $40,000.


remember that 5% as a decimal is .05.Let x = value of deal
The equation would be .05x = $2000 
Divide both sides by 0.05.
x=40,000       
 
6 0
3 years ago
The value of x + x(xx) when x = 2 is:
sveta [45]

Answer:

10

Step-by-step explanation:

X+x(xx)

X+x(x^2)

X+x^3

2+2^3

10

5 0
3 years ago
Read 2 more answers
if there is a decrease in the money supply that causes money to gain purchasing power and leads to deflation what happens to pri
MissTica
<h2>Answer:</h2>

<u>The prices </u><u>fall</u>

<u></u>

<h2>Step-by-step explanation:</h2>

Deflation happens naturally when the money supply of an economy is fixed. When money gain purchasing power, the producer need less capital to produce their product, which means that they can afford to sell their product with lower price. This allows one to buy more goods and services than before with the same amount of currency. So the price of money fall as there is a decrease in money supply.

8 0
3 years ago
It is suspected that calcium in blood platelets may be related to blood pressure. As part of a study of this relationship, resea
mr Goodwill [35]

Answer:

Step-by-step explanation:

The null and the alternative hypothesis are:

\mathbf{ H_o: \rho = 0} \\  \\ \mathbf{H_1: \rho \ne 0}

The test statistics is as follows:

t =  \dfrac{r\sqrt{n-2} }{\sqrt{1-r^2}}

t =  \dfrac{0.4 \sqrt{30-2} }{\sqrt{1-0.4^2}}

t =  \dfrac{0.4 \sqrt{28} }{\sqrt{0.84}}

t = 2.3094

The critical value

t_{\alpha/df} =  t_\ \{0.05/2 \  , \  30-2 \} }  \\ \\  = t_{0.025,28} = \pm 2.048 ( from \ the \ t-tables)

Decision rule:

To reject H_o if t > t_{\alpha/df}.

So since t > t_{\alpha/df}. we reject H_o at ∝ = 0.05

Conclusion: There is sufficient evidence to conclude that blood pressure and patient calcium are linearly related.

3 0
3 years ago
Find the area of the helicoid (or spiral ramp) with vector equation r(u, v) = ucos(v) i + usin(v) j + v k, 0 ≤ u ≤ 1, 0 ≤ v ≤ 9π
Natasha2012 [34]
Let H denote the helicoid parameterized by

\mathbb r(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+v\,\mathbf k

for 0\le u\le1 and 0\le v\le9\pi. The surface area is given by the surface integral,

\displaystyle\iint_H\mathrm dS=\iint_H\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv

We have

\mathbf r_u=\dfrac{\partial\mathbf r(u,v)}{\partial u}=\cos v\,\mathbf i+\sin v\,\mathbf j
\mathbf r_v=\dfrac{\partial\mathbf r(u,v)}{\partial v}=-u\sin v\,\mathbf i+u\cos v\,\mathbf j+\mathbf k
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\implies\|\mathbf r_u\times\mathbf r_v\|=\sqrt{1+u^2}

So the area of H is

\displaystyle\iint_H\mathrm dS=\int_{v=0}^{v=9\pi}\int_{u=0}^{u=1}\sqrt{1+u^2}\,\mathrm du\,\mathrm dv
=\dfrac{9(\sqrt2+\sinh^{-1}(1))\pi}2
5 0
3 years ago
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