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hram777 [196]
2 years ago
14

Determine the positive real root of ln(x²) = 0.7

Mathematics
1 answer:
timama [110]2 years ago
5 0

Answer:

i have no clue.

Step-by-step explanation:

i am very tired while doing a math link so please, don't give me any trouble with this :)

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Water flows into a swimming pool at the rate of 8.0 gal/min. The pool is 16 ft wide, 32 ft long and 8.0 ft deep. How long does i
VLD [36.1K]

1 foot = 12 inches

(1 foot)^3 = (12 inches)^3

1 cubic foot = (12^3) cubic inches

1 cubic foot = 1728 cubic inches, will be used as a conversion factor

--------------

Find the volume of the pool. Assume it is a rectangular prism.

Volume = length*width*height

Volume = 32*16*8

Volume = 4096 cubic feet

Multiply by 1728, which was the conversion factor found earlier, to convert from cubic feet to cubic inches.

4096 cubic feet = (4096*1728) cubic inches = 7077888 cubic inches

--------------

Now use the fact that 1 gallon = 231 cubic inches to convert from cubic inches to gallons

7077888 cubic inches = (7077888 cubic inches)*(1 gallon/231 cubic inches) = 7077888/231 = 30640.2078 gallons which is approximate

--------------

If x is the amount of time in minutes, then 8x gallons of water have been added after x minutes. Set this equal to 30640.2078 and solve for x

8x = 30640.2078

x = 30640.2078/8

x = 3830.02598

Divide this by 60 to convert to hours

3830.02598/60 = 63.8337663

<h3>It takes approximately 63.8 hours to fill the pool</h3>

This is approximately 63.8/24 = 2.625 days

4 0
2 years ago
What value is equivalent to 2 × 3 + 4 − 62?<br> A) -26 <br> B) -22 <br> C) -2 <br> D) 10
deff fn [24]

Hello from MrBillDoesMath!

Answer:

-52. None of the provided choices is correct

Discussion:

Following the usual order of math operations none of the provided answers is correct. The answer is

2*3 + 4- 62 =                => * before + and -

(2*3) + 4 - 62=             => 2*3 = 6

6 + 4 -62 =                   => 6 + 4 = 10

10 - 62 =

-52

Thank you,

MrB

6 0
2 years ago
Read 2 more answers
An architect builds a model of a park in the shape of a rectangle. The model is 40.64 centimeters long and 66.04 centimeters wid
Sever21 [200]
The answer is 16 inches long and 26 inches wide.
7 0
2 years ago
Read 2 more answers
A certain company's main source is a mobile app. The function h models the company's annual profit (in million of dollars) as a
cricket20 [7]

Answer:

At price 3 and 11, the profit will be $0

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

<em> A certain companies main source of income is a mobile app. The companies annual profit (in millions of dollars) as a function of the app’s price (in dollars) is modeled by P(x)=-2(x-3)(x-11) which app prices will result in $0 annual profit?</em>

My answer:

Given:

  • x is the app price
  • P(x) is the profit earned

If we want to find out the app price that will result in $0 annual profit? It means we need to set the function:

P(x)=-2(x-3)(x-11) = 0

<=> (x-3)(x-11)= 0

<=> x - 3 = 0 or x - 11=0

<=> x = 3 or x = 11

So at price 3 and 11, the profit will be $0

Hope it will find you well.

5 0
2 years ago
Read 2 more answers
The actual proportion of voters who plan to vote for a particular proposition in the next election is 70%, but LaShandra does no
Setler [38]

Answer:

0.0417

Step-by-step explanation:

Given the following;

p = 0.7, n=121

The sampling distribution of sample proportion will be approximately normal with mean

\mu_{\hat{p}}=p=0.7

and standard deviation

\sigma_{\hat{p}}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.7\cdot 0.2}{121}}=0.0417

Check attachment for the curve diagram.

4 0
2 years ago
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