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madreJ [45]
3 years ago
12

The temperature of a chemical solution is originally 21^\circ\text{C}21 ? C21, degree, C. A chemist heats the solution at a cons

tant rate, and the temperature of the solution is 75^\circ\text{C}75 ? C75, degree, C after 121212 minutes of heating.
Mathematics
1 answer:
Kryger [21]3 years ago
5 0

Answer:

The rate is 4.5\frac{\°C}{min}

Step-by-step explanation:

we know that

The formula to calculate the rate or slope between two points is equal to m=\frac{y2-y1}{x2-x1}

Let

x----> the time in minutes

y-----> the temperature in Celsius degrees

we have

A(0,21)\ B(12,75)

Substitute the values

m=\frac{75-21}{12-0}

m=\frac{54}{12}=4.5\frac{\°C}{min}

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Solve this using substitution:<br> 5x-y=-3<br> 6x+y=3
Marta_Voda [28]

Answer:

x=0.y=3

Step-by-step explanation:

5x-y=-3

y=5x+3

sub y=5x+3 into 6x+y=3,

6x+5x+3=3

11x=0

x=0

6(0)+y=3

y=3

3 0
3 years ago
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Snezhnost [94]

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

5 0
3 years ago
The relation ((6, 8), (7, 10), (7, 12), (8, 16),
Brilliant_brown [7]

Answer:

x = 7 is repeated twice.

Hence, there is NO MORE unique input. We can not have repeated inputs.

Thus, the relation is NOT a function.

Step-by-step explanation:

Given the relation

  • {(6, 8), (7, 10), (7, 12), (8, 16), (10, 16)}

We know that a relation is a function that has only one output for any unique input.

As the inputs or x-values of the relations are:

at x = 6, y = 8

at x = 7, y = 10

at x = 7, y = 12

at x = 8, y = 16

at x = 10, y = 16

If we closely observe, we can check that there is a repetition of x values.

i.e. x = 7 is repeated twice.

Hence, there is NO MORE unique input. We can not have repeated inputs.

Thus, the relation is NOT a function.

8 0
3 years ago
52= -5x -3 can you solve for x
Roman55 [17]

Answer:

x = -11

Step-by-step explanation:

First, add three to both sides on the equation. Then, your equation becomes 55= -5x. Finally, divide both sides by -5 to get -11 = x. So, x equals -11. Hope this helps!

4 0
3 years ago
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Please help me!!!!with this!!!
kodGreya [7K]

5x+9-3x=11

5x-3x=11-9

2x=2

2:2

x=1

8 0
3 years ago
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