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3 years ago

10

Business people have determined that three fourths of the items on a mailing list will change in one year. A business has a mail

ing list of 2260 people. After one year, how many addresses on that list will be incorrect?

1 answer:

Aliun [14]3 years ago

4 0

1695 will be incorrect.

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The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approxi

True [87]

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ( $s$ ), in centimeters, and the surface area ( $A_{s}$ ), in square centimeters, of a sphere are represented by following formulas:

$A_{s} = 4\pi\cdot r^{2}$ (1)

$s = 2\pi\cdot r$ (2)

Where $r$ is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

$A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}$

$A_{s} = \frac{s^{2}}{\pi^{2}}$ (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ( $\Delta A_{s}$ ), in square centimeters:

$\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s$

$\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}$ (4)

Where:

$s$ - Measure circumference, in centimeters.

$\Delta s$ - Possible error in circumference, in centimeters.

If we know that $s = 82\,cm$ and $\Delta s = 0.5\,cm$ , then the maximum error is:

$\Delta A_{s} \approx 8.3083\,cm^{2}$

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

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3 years ago

Write an equation of the line that passes through (-3, 3) and is perpendicular to the line 2y = 8x - 6.

navik [9.2K]

Answer:

2y = 8x - 6

2y/2 = 8x/2 - 6/2

y = 4x - 3

<h2><u>y = -1/4x + 3</u></h2>

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3 years ago

RCX)=2VX SCx) = x(RSX4=

aev [14]

Given the two functions:

$\begin{gathered} R(x)=2\sqrt[]{x} \\ S(x)=\sqrt[]{x} \end{gathered}$

We need to find (RoS)(4). THis is the functional composition. We take S(x) and put it into R(x) and then put "4" into that composed function. Shown below is the process:

$(RoS)(x)=2\sqrt[]{\sqrt[]{x}}$

When we plug in "4", into "x", we have:

$\begin{gathered} (RoS)(x)=2\sqrt[]{\sqrt[]{x}} \\ (RoS)(4)=2\sqrt[]{\sqrt[]{4}} \\ =2\sqrt[]{2} \end{gathered}$

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1 year ago

The expression 1.5*1.09 models the housing costs, in thousands of dollars, for summer term t years since Chinedu applied to his

Alex777 [14]

Answer: Multiplicative rate of change in housing costs, for summer term t years since Chinedu applied to his college.

Step-by-step explanation:

Given: $1.5\times1.09^t$ models the housing costs, in thousands of dollars, for summer term t years since Chinedu applied to his college.

Since, the above expression is an exponential function. [ t is the exponent ]

The standard exponential function is given by :-

$y=Ab^x$ , A is the initial amount , b is the multiplicative rate of change with respect to time period x.

as compare to the given expression, we get b= 1.09, which is the multiplicative rate of change in the housing costs, for summer term t years since Chinedu applied to his college.

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3 years ago

Which answer choice is equal to −(2÷3)?

Hunter-Best [27]

Answer:

need a pic or the whole thing

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4 years ago

Read 2 more answers