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3 years ago

(5 1/4) divieded by (-2 1/2)

Mathematics

2 answers:

Mazyrski [523]3 years ago

7 0

Answer:

-2.1

Step-by-step explanation:

AfilCa [17]3 years ago

5 0

Answer:

-50

Hope this helps

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A rhombus that is a rectangle is called

lora16 [44]

square ?

although this statement doesn't make any sense.

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4 years ago

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What are the domain and range of the function f(x)= x^4 -6x^3 -4x^2 54x -45?

Agata [3.3K]

Domain is the numbers you can use
we can use all real numbers for this one

rangge is the numbers we get from inputting the domain

well, this is a 4th degree, so we need to find the minimum,because the leading coefient is positive so it opens up, and as x approaches negative and positive infinity, then f(x) approaches infnity

find minimum
take derivitive
f'(x)=4x^3-18x^2-8x+54
the zeroes are at about -1.652 and 1.9381 and 4.2145
we use a sign chart
the minimum occurs at hwere the derivitive changes from negative to positive
that is at -1.652 and 4.2145
evaluate f(-1.652) and f(4.2145)
f(-1.652)=-110.626
f(4.2145)=-22.124
the least value is -110.626
that is the minimum

so the domain is all real numbers
range is from -110.626 to infinity

8 0

4 years ago

A family has an annual income of $25,200. Of this, 1/4 is spent for food, 1/5 or housing, 1/10 for clothing, one ninth for

STatiana [176]

Simply divide $25,200 by 5
$25200 \div 5 = 5040$

$5,400 was spent on housing

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3 years ago

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I need help with math and there 15 questions

charle [14.2K]

The answer is 9m v=x^3=729

x^3=9^3
x=9m

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3 years ago

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A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 875.00 cubic fe

Reika [66]

Answer:

The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.

Step-by-step explanation:

We have a rectangular room with sides x and height y.

The volume of the room is 875 cubic feet, and can be expressed as:

$V=x^2y=875$

With this equation we can define y in function of x as:

$x^2y=875\\\\y=\dfrac{875}{x^2}$

The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:

$A_w=xy=x\cdot \dfrac{875}{x^2}=\dfrac{875}{x}$

The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:

$A_c=x^2$

We can express the total cost of painting as:

$C=0.08\cdot (4\cdot A_w)+0.14\cdot A_c\\\\C=0.08\cdot (4\cdot \dfrac{875}{x})+0.14\cdot x^2\\\\\\C=\dfrac{280}{x}+0.14x^2$

To calculate the minimum cost, we derive this function C and equal to zero:

$\dfrac{dC}{dx}=280(-1)\dfrac{1}{x^2}+0.14(2x)=0\\\\\\-\dfrac{280}{x^2}+0.28x=0\\\\\\0.28x=\dfrac{280}{x^2}\\\\\\x^3=\dfrac{280}{0.28}=1000\\\\\\x=\sqrt[3]{1000} =10$

The sides of the room have to be x=10 feet.

The height can be calculated as:

$y=875/x^2=875/(10^2)=875/100=8.75$

The room will have sides of 10 feet and a height of 8.75 feet.

4 0

4 years ago