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Burka [1]
3 years ago
6

Zoo tickets for 5 people cost a total of $41. Write an equation that can be used to determine the cost, c in dollars of each tic

ket
Mathematics
1 answer:
Ugo [173]3 years ago
3 0

Answer:

Step-by-step explanation:

5t=41

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Step-by-step explanation: 471,464

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Water is being pumped into a 12-foot-tall cylindrical tank at a constant rate.
Stels [109]

Answer:

4 feet

Step-by-step explanation:

It is given that:

• At 2:30 p.m., the water depth was 2.6 feet.  

• It is now 5:00 p.m., and the depth of the water is 3.6 feet.

So in 2.5 hours ( 5pm - 2:30pm) the water rose 1 feet (3.6 - 2.6).

Now <em><u>we can find how much water rises in 1 hour by setting up a ratio (let x be the depth increase of water in 1 hr):</u></em>

\frac{2.5}{1}=\frac{1}{x}\\2.5x=1*1\\2.5x=1\\x=\frac{1}{2.5}\\x=0.4

So, in 1 hour, the water level will rise 0.4 feet

So, at 6pm (1 hour from 5 pm) it will rise to 3.6 + 0.4 = 4 feet

8 0
3 years ago
I give 30 points! Please don't put anything, please try to help me
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3 years ago
Name any two points on a vertical line that is 4 units to the right of the y-axis
Maru [420]
The y-axis is the line that is vertical in a graph. Four units to the right of the y-axis means that it will be four units above the x-axis, the horizontal line, which means that your x coordinate is 4, your y coordinate can be whatever you want. 
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7 0
3 years ago
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An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is
neonofarm [45]

Answer:

(a)h(t)=\frac{1.3t^2}{2} + 2t +17

(b)62.85cm

Step-by-step explanation:

The growth rate of the shrub is given as:

\frac{dh}{dt} = 1.3t + 2

Where t=time in years, h=height in centimeters

(a)First, we solve for the height h(t) by integrating.

\int \frac{dh}{dt} dt= \int (1.3t + 2)dt\\h(t)=\frac{1.3t^2}{2} + 2t +C, $  C a constant of Integration$\\$We sunstitute the initial value to find the value of C$\\$When t=0, h=17cm$\\17=C\\Therefore:\\h(t)=\frac{1.3t^2}{2} + 2t +17

(b)The shrub are sold after 7 years of growth. Therefore, we determine the value of h(t) when t=7 years.

h(t)=\frac{1.3t^2}{2} + 2t +17\\h(7)=\frac{1.3*7^2}{2} + 2(7) +17\\=31.85+14+17\\h(7)=62.85cm

The Shrubs are 62.85cm tall when they are sold.

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3 years ago
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