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Scilla [17]
3 years ago
11

if an area can be washed at a rate of 4,900 cm2/ minute, how many square inches can be washed per hour?

Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer : 4.5 × 10⁴ square inches can be washed per hour.

Step-by-step explanation :

As we are given that an area can be washed at a rate of 4,900 cm²/min. Now we have to determine the square inches can be washed per hour.

Given conversions are:

1 cm = 0.39 in    and    1 hr = 60 min

As, 1 cm² = (0.39)² in²    and    1 min = 1/60 hr

So, 1cm^2/min=(0.39)^2\times 60in^2/hr

1cm^2/min=9.126in^2/hr

Now we have to determine the square inches can be washed per hour.

As, 1cm^2/min=9.126in^2/hr

So, 4900cm^2/min=\frac{4900cm^2/min}{1cm^2/min}\times 9.126in^2/hr=44717.4in^2/hr=4.5\times 10^4in^2/hr

Therefore, 4.5 × 10⁴ square inches can be washed per hour.

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John invested $4,500 at 5.5% annual simple interest. His maturity value of his investment was $5,545. How long did John invest t
mart [117]

John invested the money at simple interest for 4.22 years.

We have,

Invested amount = $ 4500

Rate of interest = 5.5 %

Time = t years

Maturity value = $ 5545

So,

Total interest earned =  $ 5545 - $ 4500 = $ 1045

And,

Simple interest = (Principal × Rate × Time ) / 100

So, Using the mentioned formula,

1045 = ( 4500 × 5.5 × t ) /100

1045 = 45 × 5.5 × t

⇒

t = (1045) / (45 × 5.5)

⇒ t = 4.22 years

Therefore, John invested the money at simple interest for 4.22 years.

Learn more about simple interest here:

brainly.com/question/22621039

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6 0
2 years ago
If f(x)=3x+2,find f(f^-1(14)).
lisov135 [29]

Answer:  14

<u>Step-by-step explanation:</u>

f(x) = 3x + 2

To find f⁻¹, swap the x's and y's and solve for y --> Note: f(x) is y

x = 3y + 2

x - 2 = 3y

\dfrac{x-2}{3}=y

\implies f^{-1}(x)=\dfrac{x-2}{3}

\implies f^{-1}(14)=\dfrac{14-2}{3}

\implies f^{-1}(14)=\dfrac{12}{3}

\implies f^{-1}(14)=4

f(f⁻¹(14)) = f(4)

              f(4) = 3(4) + 2

                     = 12 + 2

                     = 14

NOTE: the simplified version is .... f and f⁻¹ cancel out, leaving you with 14

4 0
3 years ago
Help. again............................
Georgia [21]

What do u need help with ????

7 0
3 years ago
Read 2 more answers
Help asap pls -=-=-=-=--------------
bixtya [17]

Answer:

-1/3

Step-by-step explanation:

at x=0 y= 5

at x=3 y= 4

y=ax+b

b= 5

4=3x+5

3x= -1

x= -1/3

y =  -  \frac{x}{3}  + 5

5 0
3 years ago
For an angle (theta) with the point (5, -12) on its terminating side, what is the value of cosine?
padilas [110]

we are given

(x,y)=(5,-12)

so, x=5 and y=-12

now, we can find r

r=\sqrt{x^2+y^2}

r=\sqrt{5^2+(-12)^2}

r=13

now, we can find cos

cos(\theta)=\frac{x}{r}

so, we get

cos(\theta)=\frac{5}{13}...........Answer

4 0
3 years ago
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