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Vsevolod [243]
3 years ago
11

PLEASE HELP ME ASAP THANK YOU !!

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

Answer:

Step-by-step explanation:

First you need to graph the two lines.

The solution is the point where the lines intersect.

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Can you help me on question 24?!
love history [14]

Answer:

the answer is c because decreased by means the symbol minus so y decreased by 24 will be y-24

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3 years ago
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Tom has a 10 gallon fish tank that he wants to fill with neon tetra
skelet666 [1.2K]

The equation representing the minimum and maximum number of fishes which would fit into the tank is : 5 ≤ x ≤ 9

From the table given ;

  • Method 2 will allow the maximum number of fish = 9
  • Method 1 will allow the minimum number of fish = 5

To represent the maximum and minimum number of fish that will fit into the tank;

We could use an inequality expression to represent these range :

Let x represent the Number of fishes that would fit into the tank :

  • Minimum ≤ x ≤ maximum

Therefore, the equation can be written thus :

  • 5 ≤ x ≤ 9

Learn more : brainly.com/question/24566347

4 0
3 years ago
Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 181.5 square cen
3241004551 [841]

Answer:

The base and height of the solid is 5.5cm

<em></em>

Step-by-step explanation:

Given

Surface\ Area = 181.5cm^2

Required

Determine the dimensions that maximizes the volume

Let the base dimension be x and the height be h

The volume is calculated as:

Volume =x^2 * h

Volume =x^2h

181.5 =x^2h

The surface area (S) is calculated as this:

S = 2(x^2 + xh + xh)

S = 2(x^2 + 2xh)

S = 2x^2 + 4xh

Substitute 181.5 for S

181.5 = 2x^2 + 4xh

Make h the subject:

4xh = 181.5 - 2x^2

h = \frac{181.5 - 2x^2}{4x}

Substitute h = \frac{181.5 - 2x^2}{4x} in Volume =x^2h

V = x^2(\frac{181.5 - 2x^2}{4x})

V = x(\frac{181.5 - 2x^2}{4})

V = \frac{1}{4}(x)(181.5 - 2x^2)

V = \frac{181.5x}{4} - \frac{2x^3}{4}

V = \frac{181.5x}{4} - \frac{x^3}{2}

To get the maximum, we differentiate V with respect to t and set the differentiation to 0

dV = \frac{181.5}{4} - \frac{3x^2}{2}

Set to 0

0 = \frac{181.5}{4} - \frac{3x^2}{2}

\frac{3x^2}{2} = \frac{181.5}{4}

Multiply through by 4

4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4

2*3x^2 = 181.5

6x^2 = 181.5

x^2 = \frac{181.5}{6}

x^2 = 30.25

x = \sqrt{30.25

x = 5.5

Recall that:

h = \frac{181.5 - 2x^2}{4x}

h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}

h = \frac{181.5 - 60.5}{22}

h = \frac{121}{22}

h = 5.5

So, we have:

h = 5.5

x = 5.5

<em>Hence, the base and height of the solid is 5.5cm</em>

7 0
3 years ago
Choose the correct set of y-values for the function y = -2x when x = -2, 0, 2.
kvv77 [185]
The first one
y=-2(-2)=4
y=-2(0)=0
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3 years ago
A scale drawing of a door is 2 cm high. If the scale is 1 cm = 4 meters, what is the actual height of the door?
Vanyuwa [196]
2*4= 8 meters

You could multiply every centimeter by the scale of 4 because 1 cm= 4 meters.

I hope this helps!
~kaikers
4 0
3 years ago
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