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Nookie1986 [14]
3 years ago
10

Who do you solve 10=z+6 as a one step equation

Mathematics
2 answers:
ANTONII [103]3 years ago
4 0
For this question, all you have to do is subtract 6 from 10 to get 4. 4 + 6 is 10. z = 4.
natulia [17]3 years ago
4 0
The answer is 4 because you have to subtract 6 from 10
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A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x,
tatiyna

Answer:

The maximum volume of such box is 32m^3

V = x×y×z = 32 m^3

Step-by-step explanation:

Given;

Total surface area S = 48m^2

Volume of a rectangular box V = length×width×height

V = xyz ......1

Total surface area of a rectangular box without a lid is

S = xy + 2xz + 2yz = 48 .....2

To be able to maximize the volume, we need to reduce the number of variables.

Let assume the rectangular box has a square base,that means; length = width

x = y

Substituting y with x in equation 1 and 2;

V = x^2(z) ....3

x^2 + 4xz = 48 .....4

Making z the subject of formula in equation 4

4xz = 48 - x^2

z = (48 - x^2)/4x .......5

To be able to maximize V, we need to reduce the number of variables to 1, by substituting equation 5 into equation 3

V = x^2 × (48 - x^2)/4x

V = (48x - x^3)/4

differentiating V with respect to x;

V' = (48 - 3x^2)/4

At the maximum point V' = 0

V' = (48 - 3x^2)/4 = 0

Solving for x;

3x^2 = 48

x = √(48/3)

x = √(16)

x = 4

Since x = y

y = 4

From equation 5;

z = (48 - x^2)/4x

z = (48 - 4^2)/4(4)

z = 32/16

z = 2

The maximum volume can be derived by substituting x,y,z into equation 1;

V = xyz = 4×4×2 = 32 m^3

7 0
3 years ago
Two complex numbers are represented by c + di and , where c, d, e, and f are positive real numbers. In what two quadrants may th
myrzilka [38]

Answer: In quadrant 1 or quadrant 2.

Step-by-step explanation:

We have the numbers:

x = c + di

y = e + fi

where c, d, e and f are real positive numbers.

the product of these numbers is:

x*y = (c + di)*(e + fi) = c*e + c*fi + d*ei ´+d*f*i^2

x*y = c*e - d*f + (c*f + d*e)i

where I used that i^2 = -1

knowing that c,f, d and e are positive numbers, then the imaginary part of the product must be always positive.

For the real part, we have c*e - d*f, that can be positive o negative depending on the values of c, e, d, and f.

So we have that the product must lie always in one of the upper two quadrants, quadrant 1 or quadrant 2 because the imaginary part is always positive and the real part can be positive or negative.

6 0
3 years ago
When was the midpoint formula discovered?
photoshop1234 [79]

Answer:

(\frac{x1+x2}{2}, \frac{y1+y2}{2})

Step-by-step explanation:

3 0
2 years ago
Simplify the quotient. Write the answer in sn.
MA_775_DIABLO [31]

Answer:

2.4*10^4

Step-by-step explanation:

write in scientific notation

first i would simplify the 3.6/1.5

=2.4

then you get (2.4*10^7)/10^3

formula: (m^x)/(m^y)= m^(x-y)

(2.4*10^7)/10^3

=2.4*10^(7-3)/1

=2.4*10^4

3 0
2 years ago
Henry has three metal rods. The three metal rods measure 7 feet, 9 feet, and 2 feet.
ankoles [38]

Answer:

No, Henry cannot form a triangle.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of the lengths of two sides must be greater than the third side.

7 (first side) + 2 (second side) = 9

The sum of these two sides is not greater than the third side (9).

So, therefore, Henry cannot form a triangle.

6 0
2 years ago
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