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3 years ago

Evaluate -5-15+4+15

Mathematics

2 answers:

defon3 years ago

7 0

Answer:

-1

Step-by-step explanation:

-5-15+4+15

=-20+19

=-1

kondor19780726 [428]3 years ago

3 0

Answer:29

Step-by-step explanation:

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Algebra 2 please help quickly

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Answer:

$(f - g)(x) = - 5 {x}^{2} + 5x - 7$

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2 years ago

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A pole 3 m high has a shadow 5 m long when the shadow of a nearby building is 110 m long. How tall is the building? 50 m 66 m 73

Reika [66]

The correct answer is 66 M tall

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3 years ago

A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo

katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the box $V=x^2z$

Volume of the box $=12 ft^3\\$

$Therefore, x^2z=12\\z=\frac{12}{x^2}$

The material for the base costs $\$0.17/ft^2$ , the material for the sides costs $\$0.10/ft^2$ , and the material for the top costs $\$0.13/ft^2$ .

Area of the base $=x^2$

Cost of the Base $=\$0.17x^2$

Area of the sides $=4xz$

Cost of the sides= $=\$0.10(4xz)$

Area of the Top $=x^2$

Cost of the Base $=\$0.13x^2$

Total Cost, $C(x,z) =0.17x^2+0.13x^2+0.10(4xz)$

Substituting $z=\frac{12}{x^2}$

$C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}$

To minimize C(x), we solve for the derivative and obtain its critical point

$C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2$

Recall: $z=\frac{12}{x^2}=\frac{12}{2^2}=3\\$

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

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3 years ago

What is the square of the imaginary number 3i?

Illusion [34]

−
9
Explanation:
(
3
i
)
2
=
9
i
2
i
2
=
−
1
,
therefore,
9
i
2
=
9
⋅
(
−
1
)
=
−
9

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3 years ago

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How is 4/16 eqaul to 0.25 plaessseeee help

andreyandreev [35.5K]

Okay! 4/16= 0.25 because 16/16 = 1 and so that means 12/16 = 0.75 and 8/16 = 0.50 and 4/16 = 0.25 Hope this helped!

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3 years ago