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Airida [17]
3 years ago
5

The Willis Tower in Chicago is about 1450 feet. The Empire State building in New York City is about 4/5 as tall. About how tall

is the Empire State Building?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0

Answer:

1160 feet

Step-by-step explanation:

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Consider the multivariable function f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}f ( x , y , z ) = x 3 −
Lelu [443]

Answer:

f\left(2,3,1\right)=\bold{14}

Step-by-step explanation:

Given the function:

f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}

To find:

The value of f(2, 3, 1) = ?

Solution:

f(2, 3, 1) means the values of x, y\ and\ z as:

x=2\\y=3\\z=1

Let us put the given values in the given function and let us solve for it:

\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}

Therefore, the answer is:

f\left(2,3,1\right)=\bold{14}

8 0
3 years ago
4. The diagram at right shows the graph of 3x + 4y = 12. The shaded figure is a square, three of whose vertices are on the coord
nikklg [1K]

Remark

This is a very interesting question.  Draw a line from the origin to where the upper right vertex of the square touches the line. That line has the property that the its equation is y = x. So the "solution" to the point of intersection is the solution of the two equations.

y =  x            (1)

3x + 4y = 12 (2)

Put x in for y in equation 2

3x + 4x = 12

7x = 12

x = 12/7

x = 1.714

y = 1.714

Problem A

<em><u>x intercept</u></em>

The x intercept occurs when y = 0

3x + 4(0) = 12

3x = 12                Divide by 3

x = 12/3

x = 4

the x intercept = (4,0)

<em><u>y intercept</u></em>

The y intercept occurs when x =0

3(0) + 4y = 12

4y = 12

y = 12/4

y = 3

y intercept = (0,3)

Problem B

x and y both equal 1.714 so they are also the length of the square's side.

Problem C

See solution above. x =y is the key fact.

x = y = 1.714

5 0
3 years ago
Use the following sequence to:
Leona [35]

Step-by-step explanation:

A) d = a2-a1 = 5-9 = - 4

_________________

4 0
3 years ago
Write an equation for the line that passes through the points (-10, 4) and (-16, 7).
Lena [83]
Y= -1/2x -1

first use the formula y2-y1/ x2-x1
then plug in (-10, 4) and (-16, 7) into the formula so it should look like 7-4/ -16 +10
that should simplify down to -1/2
Next plug one of the points into the new formula y=-1/2x +b to find B
3 0
3 years ago
Sam spent the day at the mall. First, he bought three mules for $30
Dmitriy789 [7]

Answer:

180

Step-by-step explanation:

30x3=90-30+50

4 0
2 years ago
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