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2 years ago

if i had 39 containers of water and each container held 24 quarts. How many quarts water are in the 39 containers?

Mathematics

1 answer:

suter [353]2 years ago

5 0

Answer:

936 quarts

Step-by-step explanation:

$n=24*39=936quarts$

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The region bounded by y=(3x)^(1/2), y=3x-6, y=0

Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is $y = (3x)^{\frac{1}{2} }$

⇒ $y^{2} = 3x$ ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

$y^{2} - y - 6 = 0$

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = $\int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx$

= $\sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}$

= $[\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} } }{3}] - [13.5 - 18 - 6 + 12]$

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0

2 years ago

815 divide by 9 work

yKpoI14uk [10]

90.555555555555 repeating

3 0

2 years ago

Find vertex and axis of symmetry -3(x-4)^2+1

Yuki888 [10]

Answer:

vertex=(4,1)

aos:x=4

8 0

3 years ago

What is the slope of line PQ?

Scilla [17]

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part a) Find the slope of line PQ

$P(-8,2)\ Q(4,2)$

substitute in the formula

$m=\frac{2-2}{4+8}$

$m=\frac{0}{12}=0$

Any line parallel to X-axis has slope equal to zero

the line PQ is parallel to the x-axis

therefore

the answer Part a) is

$0$

Part b) Find the slope of line MN

$M(8,6)\ N(8,-8)$

substitute in the formula

$m=\frac{-8-6}{8-8}$

$m=\frac{-14}{0}$

Anything divided by zero is undefined

m=undefined

therefore

the answer Part b) is

undefined

Part c) How are the two lines related ?

we know that

Any line perpendicular to X-axis has slope undefined

Because the term $(x2-x1)$ will always be zero

the answer Part c) is

the lines are perpendicular

8 0

3 years ago

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Yall.. A "content bot" Just told me

ki77a [65]

Answer:

That's happened to me too. I understand how you feel... If you keep getting warned your account will either get blocked or deleted...

Step-by-step explanation:

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2 years ago