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lidiya [134]
3 years ago
5

Use the number line to find each measure

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

ST = 3 units

Step-by-step explanation:

From the number line attached in the picture,

Distance of S from 0 = 7 units

Distance of T from 0 = 4 units

Therefore, distance between S and T = 7 - 4

ST = 3 units

[Note : Length of a segment is always positive so ST can't be negative]

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If methane at a pressure of 3.2 atm and at 21 °C is introduced into a container, the gas be heated to ______°C to increase the p
Veronika [31]
A: 3.2/294=12/T 
<span>T=1102.5 K </span>
<span>*** </span>
<span>*** </span>
<span>b: V/T => V/1088 = 4000/294 </span>
<span>V = 14802.7 L = 14.8 m^3 </span>
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4 years ago
Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 116 meters
Naily [24]

Answer:

Length = 29 m

Width = 29 m

Step-by-step explanation:

Let x and y be the length and width of the rectangle, respectively.

The area and perimeter are given by:

A=xy\\p=116=2x+2y\\y=58-x

Rewriting the area as a function of x:

A(x) = x(58-x)\\A(x) = 58x-x^2

The value of x for which the derivate of the area function is zero, is the length that maximizes the area:

A(x) = 58x-x^2\\\frac{dA}{dx}=0=58-2x\\ x=29\ m

The value of y is:

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4 0
3 years ago
A clothing store has the sign shown in the shop window. Pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. The c
sergejj [24]

Answer:

P=3(12)+2(19)-3

P=$71

Step-by-step explanation:

Pani buys 3 shirts for $12 each. This is the expression 3(12) for the cost.

Pani also buys 2 pairs of jeans for $19 each. This is the expression 2(19) for the cost.

She pays together 3(12)+2(19) but she also gets a $3 discount subtracted from her total. So her total price P is P = 3(12)+2(19)-3.

Simplify the parenthesis first.

P=3(12)+2(19)-3

P=36+38-3

P=$71

6 0
3 years ago
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