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3 years ago

3-5(3a+6) in standard form

Mathematics

1 answer:

Gre4nikov [31]3 years ago

6 0

Answer:

$3 - 15a - 30 \\ - 15a - 27$

Good luck!

Intelligent Muslim,

From Uzbekistan.

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Trevor hires a landscaping company m order to seriscape his yard. The company charges $800 per day,

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The answer to this question is B.

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Please and don’t just answer for the points, it’s rude

Artyom0805 [142]

Answer:

7a ( 1,1)

7b ∅ or no solution

Step-by-step explanation:

The solution to the system is where the two functions intersect

For 7a. The parabola and the line intersect at (1,1)

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The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma

andreev551 [17]

The maximum error in the calculated surface area is 24.19cm² and the relative error is 0.0132.

Given that the circumference of a sphere is 76cm and error is 0.5cm.

The formula of the surface area of a sphere is A=4πr².

Differentiate both sides with respect to r and get

dA÷dr=2×4πr

dA÷dr=8πr

dA=8πr×dr

The circumference of a sphere is C=2πr.

From above the find the value of r is

r=C÷(2π)

By using the error in circumference relation to error in radius by:

Differentiate both sides with respect to r as

dr÷dr=dC÷(2πdr)

1=dC÷(2πdr)

dr=dC÷(2π)

The maximum error in surface area is simplified as:

Substitute the value of dr in dA as

dA=8πr×(dC÷(2π))

Cancel π from both numerator and denominator and simplify it

dA=4rdC

Substitute the value of r=C÷(2π) in above and get

dA=4dC×(C÷2π)

dA=(2CdC)÷π

Here, C=76cm and dC=0.5cm.

Substitute this in above as

dA=(2×76×0.5)÷π

dA=76÷π

dA=24.19cm².

Find relative error as the relative error is between the value of the Area and the maximum error, therefore:

$\begin{aligned}\frac{dA}{A}&=\frac{8\pi rdr}{4\pi r^2}\\ \frac{dA}{A}&=\frac{2dr}{r}\end$

As above its found that r=C÷(2π) and r=dC÷(2π).

Substitute this in the above

$\begin{aligned}\frac{dA}{A}&=\frac{\frac{2dC}{2\pi}}{\frac{C}{2\pi}}\\ &=\frac{2dC}{C}\\ &=\frac{2\times 0.5}{76}\\ &=0.0132\end$

Hence, the maximum error in the calculated surface area with the circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm is 24.19cm² and the relative error is 0.0132.

Learn about relative error from here brainly.com/question/13106593

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2 years ago

You know that your bill before tax is $52.60 and that sales tax rate is 8%. You decide to leave a 20% tip for the waiter. How mu

timofeeve [1]

Answer:

$10.52 tip should be given to the waiter.. The total bill including tax is $67.33

Step-by-step explanation:

We are given the following in the question:

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Tax percentage = 8$

Tip value =

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Thus, $10.52 tip should be given to the waiter.

Tax value =

$8\% \times 52.60\\\\=\dfrac{8}{100}\times 52.60\\\\=4.21\$$

Total bill =

Pre tax amount + Tip + Tax

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Thus, the total bill including tax is $67.33

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3 years ago

A contractor has installed a silt fence around an area that is semi-circular and level to prevent soil from the construction sit

monitta

We know is a semi-circle, so let us use the equation for the area of a circle instead, and then, half it
so, the diameter is 1100, meaning the radius is half that, or 550

so... $\textit{area of a circle}=\pi r^2\qquad r=radius=\frac{diameter}{2}=\frac{1100}{2}=550
\\ \quad \\
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\\ \quad \\
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\textit{circumference of a semi-circle}=\cfrac{2\pi r}{2}\impliedby \textit{linear feet of fence}$

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3 years ago