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son4ous [18]
3 years ago
15

A hose fills a hot tub at a rate of 3.74 gallons per minute. How many hours will it take to fill a 289- gallon hot tub?

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0
I think it would take about 1 hour and 17 minutes
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A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola y equals = 100 100 minus −x squa
masha68 [24]

Answer:

Step-by-step explanation:

Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola

y=100-x^2

This parabola has vertex at (0,100) and symmetrical about y axis.

Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.  

Hence coordinates of any rectangle are

(a,0) (-a,0), (a, 100-a^2), (-a, 100-a^2)

Length of rectangle = 2a and width = 100-a^2

Area of rectangle = lw = 2a(100-a^2)=200a-400a^3

To find max area, use derivative test.

A' = 200-800a^2\\A"=-1600a

Hence maxima when first derivative =0

i.e. when a =2

Thus we find dimensions of the rectangle are l =4 and w = 96

Maximum area = 4(96) = 384

5 0
3 years ago
4.6.3 Test (CST): Linear Equations
inn [45]

The slope of the green line if the lines are perpendicular is -1/4

<h3>Perpendicular lines</h3>

For two lines two be perpendicular, the product of their slope must be -1. Let the slope of the red and green line be m1 and m2.

Given the following

Slope of red line = 4

According the definition

4m2 = -1

m2 = -1/4

Hence the slope of the green line if the lines are perpendicular is -1/4

Learn more on perpendicular lines here: brainly.com/question/1202004

#SPJ1

5 0
1 year ago
Which could be the side length of a 30°-60°-90° triangle?
pshichka [43]
I believe the answer is C
5 0
3 years ago
Does anyone know this? :)
Scilla [17]

Answer:

2x²y+(x²y-2xy²) = 3x²y-2xy²

(5xy²-x²y) +3x²y = 5xy²-2x²y

4x²y+(x²y+xy²) = 5x²y+xy²

x²y+(-2xy²-4x²y) = -3x²y-2xy²

Step-by-step explanation: there you go

6 0
3 years ago
What is 2a-3 when a=6
solong [7]
When a=6,

2a - 3 = 2(6) - 3 = 12 - 3 = <em><u>9</u></em>
6 0
3 years ago
Read 2 more answers
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