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3 years ago

5

A water tank holds 18,000 gallons how long will it take for the water level to reach 6,000 gallons if the water is used at an av

erage rate of 450 gallons per day?

1 answer:

kozerog [31]3 years ago

4 0

Answer:26.66 DAYS. ROUNDED TO 27

Step-by-step explanation:

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Ya'll fr get 50 points if you answer this. <br> What is the rate of change of <img src="https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex

Evgesh-ka [11]

Answer:

$\dfrac{dy}{dx}=2^x\ln 2$

Step-by-step explanation:

**This is a non-linear function and therefore <u>does not have a constant rate of change</u>. It will have a different slope depending on what points you use in the average rate of change formula: $\mathsf{average \ rate \ of \ change = \dfrac{change \ in \ y}{change \ in \ x}}$

To calculate rate of change, differentiate.

substitute y for $f(x)$ :

$\implies y=2^x$

Take natural logs of both sides:

$\implies \ln y=\ln 2^x$

Apply the log rule $\ln a^b=b \ln a$ :

$\implies \ln y=x\ln 2$

Differentiate with respect to $x$ :

$\implies \dfrac{1}{y} \frac{dy}{dx}=\ln 2$

Mulitply both sides by $y$ :

$\implies \dfrac{dy}{dx}=y\ln 2$

Replace $y$ with $y=2^x$

$\implies \dfrac{dy}{dx}=2^x\ln 2$

Therefore, rate of change of the function is :

$\dfrac{dy}{dx}=2^x\ln 2$

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3 years ago

an electronic store has television sets marked doen 30%.What is the total sale price of five television sets that regularly sell

pashok25 [27]

Answer:

$192731932

Step-by-step explanation:

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3 years ago

a rectangular plot of land 8m long and 6m wide.there is a flower bed in the form of a circle of radius 3m.find 1.area of land. 2

mixer [17]

Answer:

1)Area of the Land is 48 square meters

2) Area of flower bed is 28.26 square meter

3)Area of land excluding flower bed is 19.74 square meters

4)cost of planting grass in land excluding flower bed is Rs 118.44

Step-by-step explanation:

Given:

Length of the Rectangular plot = 8m

Width of the rectangular plot = 6m

Radius of the circular flower bed = 3m

1)Area of the Land

Area of the Rectangular plot = Area of the Land

Area of the Land = length x width

Area of the Land = 8*6

Area of the Land = 48 square meters-----------------------------(1)

2. Area of flower bed

Area of flower bed = 4 x area of one quadrant

Area of flower bed = area of the circle

Area of flower bed = $\pi r^2$

where r is the radius

Now , substituting the values

Area of flower bed = $\pi (3)(3)$

Area of flower bed = 28.26 square meters-----------------------------(2)

3)Area of land excluding flower bed

Area of land excluding flower bed = Area of the rectangular land - area of flower beds

Area of land excluding flower bed = 48 - 28.26

Area of land excluding flower bed = 19.74 square meters

4)cost of planting grass in land

Cost of planting grass per square meter = 6

Excluding the flower bed we have 19.74 square meters. to plant grass for this 19. 74 square meters, the cost will be

= $19. 74 \times 6$

= Rs 118.44

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4 years ago

−8x=<br> \,\,7-(7.2x+8.8)+x<br> 7−(7.2x+8.8)+x

katrin [286]

Answer:

math was made just so we can be bored

Step-by-step explanation:

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3 years ago

mickel and 4 friend bought a total of 95 raffle tickets if the ticket were dived equaly among themselves how many tickets did ea

Simora [160]

Answer:

19

Step-by-step explanation:

5 people in total, divide equally from 95

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3 years ago

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