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kow [346]
3 years ago
7

Evaluate the expression y=7 x=8 x+ 4y

Mathematics
2 answers:
Elena L [17]3 years ago
8 0

Answer:

36

Step-by-step explanation:

x+4y=8+4(7)=8+28=36

alexira [117]3 years ago
3 0
You just plug in the numbers: 8+4(7)=8+28=36. Hope this helped!
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Find the surface area. Use 3.14 for pi
Tatiana [17]

Answer:

S=1444.4

Step-by-step explanation:

they already gave the formula so

13 is the height, 10 is the radius

plug it in to the formula (using 3.14 for pi)

S=2(3.14)(10)^2+2(3.14)(10)(13)

S=628+816.4

S=1444.4

5 0
2 years ago
Read 2 more answers
A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi
mestny [16]

Answer:

  • Base Length of 84cm
  • Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, V=x^2h=296352

h=\dfrac{296352}{x^2}

Surface Area of the box = Base Area + Area of 4 sides

A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}

Step 2: Find the derivative of A(x)

If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}

Step 3: Set A'(x)=0 and solve for x

A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42

Therefore, the dimensions that minimizes the box surface area are:

  • Base Length of 84cm
  • Height of 42 cm.
5 0
3 years ago
9x+3y=18 whats is the equation when solved for y
lidiya [134]

Answer:

y=6-3x

Step-by-step explanation:

first subtract 9x from 9x+3y=18

                                   -9x       -9x

so you get 3y=18-9x or 3y=-9x+18 then divide both sides by 3

so you get y=6-3x hope this helps :)

6 0
3 years ago
Find the value of x.<br> 48°<br> (7x + 13)
Pavel [41]

Answer:

336x + 624

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The real number square root of 16 belongs to which sets of numbers?
klasskru [66]

Answer: Square root of 16 is +4 or -4. Since -4 is not a natural number, the square root can be described as an integer.

Step-by-step explanation:

The square root of 16 is a rational number. The square root of 16 is 4, an integer

3 0
3 years ago
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