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3 years ago

what is the surface area of the cylinder? Use 3.14 for pi and round your answer to the nearest hundredth

Mathematics

1 answer:

xeze [42]3 years ago

4 0

Answer:

954.56 in²

Step-by-step explanation:

A = 2×π·r² + 2·π·r·h

= 2×3.14×64 + 2×3.14×8·11

= 401.92 + 552.64

= 954.56 in²

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Factor the expression 84+28

harkovskaia [24]

Answer:

112

Step-by-step explanation:

7 0

2 years ago

In a normal distribution what percent of values fall within one standard deviation of the mean?

Sophie [7]

The answer is given by the empirical rule, 68%.

8 0

3 years ago

Sara is mixing together a fruit punch for a party. She's made 4 gallons of punch with a mixture of 50% juice. Her mother tells h

Nata [24]

$\bf \begin{array}{lccclll}
&amount(gallons)&juice&\textit{juice amount}\\
&--------&-----&-----\\
\textit{50\% punch}&4&0.50&(4)(0.50)\\
\textit{pure juice}&x&1.00&(x)(1.00)\\
-----&-----&-----&-----\\
mixture&4+x&0.60&(4+x)(0.60)
\end{array}$

notice, that, pure juice is 100% juice, dohhh, thus 100/100 = 1.00
50% is 50/100 or 0.50 in decimal format

so..... whatever those two quantities amount to, that is, the 50% and pure juice, or (4)(0.50) + (x)(1.00)
they will equal the mixture desired 60% juice, or 0.60, namely (4+x)(0.60)

thus (4)(0.50) + (x)(1.00) = (4+x)(0.60)

solve for "x"

4 0

3 years ago

ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)

Delicious77 [7]

$remember$
$ln(x)=log_e(x)$
$and$
$log_x(a)-log_x(b)= log_x( \frac{a}{b} )$
$and$
$log_a(b)=c$ means $a^c=b$
$and$
$blog(a)=log(a^b)$

$so$

$ln(y+1)-ln(y)=1+3ln(x)$
$ln( \frac{y+1}{y} )=1+ln(x^3)$

$minus$ $ln(x^3)$ $from$ $both$ $sides$

$ln( \frac{y+1}{y}-ln(x^3) )=1$
$ln( \frac{y+1}{yx^3})=1$
$log_e( \frac{y+1}{yx^3})=1$

$translate$

$e^1=\frac{y+1}{yx^3}$
$e=\frac{y+1}{yx^3}$

$times$ $both$ $sides$ $by$ $yx^3$

$eyx^3=y+1$

$minus$ $y$ $from$ $both$ $sides$

$eyx^3-y=1$
$y(ex^3-1)=1$

$divide$ $both$ $sides$ $by$ $(ex³-1)$

$y= \frac{1}{ex^3-1}$

6 0

3 years ago

Read 2 more answers

What is the percent of change to 125 centimeteres 87.5 centimeters?

MrRa [10]

I hope this helps you

125-87,5=37,5

125 37,5

100 ?

?.125=100.37,5

?=3750/125

?=30

30%

5 0

2 years ago