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3 years ago

What percent of 80 is 32? Enter your answer in the box.

Mathematics

2 answers:

k0ka [10]3 years ago

7 0

80 = 100%

40 = 50%

8 = 5%

5% x 4 = 20

8 x 4 = 32

32 = 20%

Tatiana [17]3 years ago

5 0

Answer: 40

Step-by-step explanation:

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Find the arc length of the given curve between the specified points.

yuradex [85]

Answer:

4.25

Step-by-step explanation:

Given:

$f(x) = \frac{x^3}{12} + \frac{1}{x} \\\\Arc Length = \int\limits^a_b {\sqrt{1 + (f'(x))^2} } \, dx \\f '(x) = \frac{x^2}{6} - \frac{1}{x^2}\\\\f'(x)^2 = (\frac{x^2}{6} - \frac{1}{x^2})^2 = \frac{x^4}{36} + \frac{1}{x^4} - \frac{1}{3}\\\\1 + f'(x)^2 = \frac{x^4}{36} + \frac{1}{x^4} + \frac{2}{3}\\\\\= \frac{x^8 + 36 + 12x^4}{36x^4}\\\\= \frac{(x^4 + 6)^2}{36x^4}\\\\=\sqrt{1 + f'(x)^2} = \sqrt{ \frac{(x^4 + 6)^2}{36x^4}}\\\\= \frac{x^2}{6} + \frac{1}{x^2} \\\\$

$ArcLength = \int\limits^4_1 {\frac{x^2}{6} + \frac{1}{x^2} } \, dx \\= (\frac{x^3}{18} - \frac{1}{x})\limits^4_1\\\\= (\frac{64}{18} - \frac{1}{4}) - (\frac{1}{18} - 1)\\\\= \frac{17}{4}= 4.25$

8 0

3 years ago

A field is to be fertilized at a cost of $0.12 per square yard. The rectangular part of the field is 110 yards long and the diam

Lera25 [3.4K]

see the picture in the attached figure

step 1

find the area of rectangle

A=110*43

A=4730 yd²

step 2

find the area of semicircles

we know that two semicircles is equal to one circle

Area of the circle=pi*r²

r=43/2

r=21.5 yd

A=pi*21.5²

A=462.25 *pi yd²-------->1,451.465 yd²

total area=area rectangle + area of circle

total area=4,730+1,451.465---------> 6,181.465 yd²

step 3

find the cost

$0.12 per square yard

6,181.465*0.12=$741.78

therefore

the answer is

$741.78

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3 years ago

To borrow money, you pawn your guitar. Based on the value of the guitar, the pawnbroker loans you $

Nonamiya [84]

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$1472\\
P=\textit{original amount}\to& \$1080\\
r=rate\\
t=years\to &\frac{1}{12}
\end{cases}
\\\\\\
1472=1080\left(1+r\cdot \frac{1}{12}\right)$

notice, it was pawned for only 1 month, so the "yearly" rate is for 1 month, which is 1/12 of the year, since a year has 12 moths

you'll get a rate in decimal terms, to get the % amount, just multiply it times 100

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4 years ago

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3 years ago

Read 2 more answers

Find the volume of a regular tetrahedron whose altitude measures 10 cm.

Vlad [161]

The answer is 118 cm³

The volume of tetrahedron (V), where a is its altitude, can be expressed as:
$V= \frac{ a^{3}}{6 \sqrt{2} } =$
$V = \frac{10 ^{3} }{6 \sqrt{2} } = \frac{1000}{6*1.41} = \frac{1000}{8.46} = 118.2 cm^{3}$ ≈ 118 cm³

6 0

3 years ago