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Dimas [21]
3 years ago
8

Find the limitsThe answer is - 3/4

Mathematics
1 answer:
Kipish [7]3 years ago
8 0

Hello from MrBillDoesMath!

Answer:

This is a puzzling one! The answer is indeed -3/4 but I was unable to prove it using mathematics appropriate to the "middle school" level. Sorry I couldn't be more helpful.

(To prove it I generated the first few terms of its Laurent series, a Calculus topic. The first few terms are  -(3/4) + (41/64x) +  and as x approaches  minus infinity the term with "x" in the denominator goes to zero, leaving the constant value -3/4 as the answer. )


Thank you,

MrB


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The volume of the cylinder is<br>in.<br>​
swat32

Answer:

243π inches

Step-by-step explanation:

The volume of a cylinder is πr^2 * h

r = 9

h = 3

81π * 3 = 243π

8 0
3 years ago
If a pair of jeans cost 45 dollars before the sale and the sale is taking 9 dollars off of the original price what was the perce
Dvinal [7]

Answer:

20%

Step-by-step explanation:

A pair of jeans cost $45  before the sale.

The sale is taking $9 off of the original price.

Then

$45 - 100%

$9 - x%

Write a proportion:

\dfrac{45}{9}=\dfrac{100}{x}

Cross multiply:

45\cdot x=9\cdot 100\\ \\45x=900\\ \\x=\dfrac{900}{45}\\ \\x=20\%

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3 years ago
Solve for x*<br> 55°<br> x + 74<br> I<br> 54°
tiny-mole [99]

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8 0
3 years ago
nikhil has RS 80000 from this,he gives 30% to his wife and 20% to his father. Find the amount received by wife and father​
muminat

Answer:

Amount received by wife = RS 24000

Amount received by father = RS 16000

Step-by-step explanation:

His income is RS 80000

He gave 30% of his income to his wife

That's

\frac{30}{100}   \times RS  \:  \: 80000

Which is RS 24000

He gave 20% of his income to his father

That's

\frac{20}{100}  \times RS  \:  \: 80000

Which is RS 16000

Hope this helps you

8 0
3 years ago
Read 2 more answers
A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the
ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

\displaystyle h = 29.4t - 4.9 {t}^{2}

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

\displaystyle \rm t= \frac{ - b}{  2a}

\displaystyle H_{\text{max}}=f(t)

notice that, our given function is not in standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

let's make it so

\displaystyle h =  - 4.9 {t}^{2}  + 29.4t

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

\displaystyle\rm t=  \frac{ -( 29.4)}{  2 \cdot - 4.9}

remove parentheses and change its sign:

\displaystyle\rm t=  \frac{ -29.4}{  2 \cdot - 4.9}

simplify multiplication:

\displaystyle\rm t=  \frac{ -29.4}{  - 9.8}

simplify division:

\displaystyle  \: t  = 3

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2

simplify square:

\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9

simplify mutilation:

\displaystyle H_{\text{max}}=88.2-44.1

simplify substraction:

\displaystyle H_{\text{max}}=44.1

hence,

the maximum height of the baseball is 44.1 metres

4 0
3 years ago
Read 2 more answers
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