A- (x,y) -> (x,-y)<br> B- (x,y) -> (-x,y)<br> C- (x,y) -> (y,x)<br> D- (x,y) -> (y, -x)

Evaluate the limit as x goes to infinity of x^3e^-x/5

jekas [21]

Answer: 0

Step-by-step explanation:

$\frac{x^{3}e^{-x}}{5}$

This could be written as

$\frac{x^{3} }{5e^{-x} }$

Applying L'H rule and differentiating 3 times , we have

$\frac{6}{5e^{x} }$

taking the limit as x goes to infinity , we have

0

5 0

3 years ago

A restaurant needs pound 7/8 of cinnamon. The price of cinnamon is $20 per pound. How much does the restaurant spend on cinnamon

Lorico [155]

Answer:

$17.50

Step-by-step explanation:

Multiply 7/8 by 20/1, to find 7/8 of $20.00.

7/8 × 20/1 = 140/8

140 ÷ 8 = 17.5

Once you convert to money, this is $17.50.

4 0

2 years ago

What is the area of this irregular figure knowing that the formula for the area of a rectangle is l x w.

Lubov Fominskaja [6]

9514 1404 393

Answer:

42 cm²

Step-by-step explanation:

The attachment shows a couple of ways the figure can be considered.

a) Left and Right rectangles that are 5 cm high and 3 cm wide, together with a central rectangle that is 3 cm high and 4 cm wide. Then the total area is ...

5×3 + 3×4 + 5×3 = 15 + 12 + 15 = 42 . . . . cm²

__

b) An enclosing rectangle that is 5 cm high and 10 cm wide with a cut-out that is 2 cm high and 4 cm wide. Then the total area is ...

5×10 -2×4 = 50 -8 = 42 . . . . cm²

__

The area of the irregular figure is 42 cm².

3 0

2 years ago

Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours

nata0808 [166]

Answer: $2\ \dfrac{7}{12}\ \text{hours}$

Step-by-step explanation:

Given

Azmyne decided to study a total of $6\ \frac{1}{2}\ hours$

She spent $1\ \frac{1}{4}\ hours$ on Friday and $2\ \frac{2}{3}\ hours$ on Saturday

Hours spent on Friday

$\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours$

Hours spent on Saturday

$\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours$

She must study for

$\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}$

4 0

2 years ago

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

iVinArrow [24]

I'll use my own formula (similar to yours tho)

$A=P(1+ \frac{r}{n})^{nt}$
A=future amount
p=invested
r=rate in decimal
n=number of times per year compounded
t=time in years

so
when will A=2P
subsitute 2P for A
also quarterly means 4 times a year or n=4
and 12%=0.12=r
so

$2P=P(1+ \frac{0.12}{4})^{(4*t)}$
divide both sides by P
$2=(1+ \frac{0.12}{4})^{(4*t)}$
simplify
$2=(1+ 0.03)^{4t}$
$2=(1.03)^{4t}$
take the ln of both sides
$ln(2)=ln(1.03)^{4t}$
$ln(2)=4tln(1.03)$
$ln(2)=t(4ln(1.03))$
divide both sides by 4ln(1.03)
$\frac{ln(2)}{4ln(1.03)}=t$
use calculator
5.86244=t
about 5.9 years

4 0

3 years ago

Read 2 more answers

A- (x,y) -> (x,-y) B- (x,y) -> (-x,y) C- (x,y) -> (y,x) D- (x,y) -> (y, -x)