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2 years ago

The diagram gives information about two paintings, P and Q.

Mathematics

1 answer:

Lerok [7]2 years ago

6 0

I honestly don’t know the answer to this question but I hope you find an answer soon and good luck

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A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dime

yawa3891 [41]

Answer:

b = 4.6 ft

h = 2.3 ft

Step-by-step explanation:

The volume of the tank is given by:

$b^2*h=49$

Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.

The surface area can be written as:

$A=b^2+4bh\\A=b^2+4b*({\frac{49}{b^2}})\\A=b^2+\frac{196}{b}$

The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:

$\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft$

The value of h is then:

$h=\frac{49}{4.61^2}\\h=2.31\ ft$

Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.

7 0

3 years ago

What is the correct expanded form of -3(4 + 2n) ?

lys-0071 [83]

Answer:

-3(4+2n) multiply -3 by 4 and 2n

-12-6n

3 0

3 years ago

Read 2 more answers

Simplify this problem

ikadub [295]

Answer:

$\boxed{ \frac{ \sqrt[3]{ {x}^{11} } }{4} }$

Step-by-step explanation:

$= > \frac{ {x}^{4} }{ \sqrt[3]{64x} } \\ \\ = > \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} } )\times ({x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } ) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4 - \frac{1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{12 - 1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{11}{3} } }{4} \\ \\ = > \frac{ \sqrt[3]{ {x}^{11} } }{4}$

7 0

3 years ago

Calculate the slope of the line passing through the points (4, 7) and (9, -1).

dimulka [17.4K]

the answer is -8/5

ur welcome lolz

5 0

3 years ago

Read 2 more answers

Y=(x-1)^2+2 find the y-intercept

dybincka [34]

Answer:

(0,3)

Step-by-step explanation:

So we have the equation:

$y=(x-1)^2+2$

Recall what the y-intercept is. The y-intercept is when the graph crosses the y-axis. Therefore, at that point, the x-value is 0. So, to find the y-intercept, substitute 0 for x. Thus:

$y=(0-1)^2+2$

Subtract:

$y=(-1)^2+2$

Square:

$y=1+2$

Add:

$y=3$

So, the y-intercept is at (0,3).

And we're done!

3 0

2 years ago