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3 years ago

A public rectangular-shaped pool is 15 m by 30 m. Public pools must be surrounded by a cement

Mathematics

1 answer:

n200080 [17]3 years ago

5 0

Answer:

15m I think

Step-by-step explanation:

Sorry if im wrong

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You have just hired a new employee, Tim, to oversee the production of your new line of water bottles. Tim is a full-time employe

Whitepunk [10]

Answer:

$16,640

Step-by-step explanation:

Tim's total annual wage expense is ...

($8.00 /h)(40 h/wk)(52 wk/yr) = $8×40×52 /yr = $16,640 per year

3 0

3 years ago

Richard can make 8 dough balls in two hours. If the amount of time is directly proportional to the number of dough balls, how ma

Sergio039 [100]

Answer:

4.5 hours

Step-by-step explanation:

8:2h = 18:x

8x = 18×2h

x = 36h/8

x = 4.5

hope this helps :)

8 0

2 years ago

The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+

jekas [21]

Answer:

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

Step-by-step explanation:

$R'(x)=(x+1)\ln(x+1)$

Integrate with respect to $x$ .

$R(x)=$ ∫ $(x+1)\ln(x+1)$ dx

Take $x+1=u$

Differentiate with respect to $x$

$dx=du$

So,

$R(x)=$ ∫ $u\ln(u)\,du$

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

$R(x)=$ $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u^2}{2}\frac{1}{u}\,du$

= $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u}{2}\,du$

Put $u=x+1$

$R(x)= \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}$

To find total revenue from the sale of the first 12 calculators, put $x=12$

$R(x)= \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}$

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

4 0

2 years ago

6 times the difference of a number and 4 equals 7

Nonamiya [84]

6( x - 4) = 7
6 x - 24 = 7
6 x = 7 + 24
6 x = 31
x = 31/6

6 ( 31/6 - 4) = 7
186/6 - 24 = 7
186/6 = 144/6 = 7

42/6 = 7
7 = 7

4 0

2 years ago

A rectangular prism that has a length of 8 feet, width of 6 feet, and height of 12 feet. What is the volume of the prism? ft3

Lady bird [3.3K]

Answer:

The volume of the prism is 576 cubic feet

Step-by-step explanation:

Length of rectangular prism = 8 feet

Width of rectangular prism = 6 feet

Height of rectangular prism = 12 feet

Volume of rectangular prism = $Length \times Breadth \times Height$

Volume of rectangular prism = $8 \times 6 \times 12$

Volume of rectangular prism = $576 feet^3$

Hence the volume of the prism is 576 cubic feet

6 0

3 years ago

Read 2 more answers