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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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Klio2033 [76]
Speed of the train : distance traveled / time of the travel = 10.1/(0.5)=<span>20.2 mph. Hope this helped!</span>
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3 years ago
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I Need The Answer Plz!!! Geometry Is Hard!!
prohojiy [21]

Answer:

12√5

Step-by-step explanation:

According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).

If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)

Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)

from the 2 paragraphs above, we can see now that we can assemble an inequality in x

24 < x < 30

If we look at the choices, we can immediately ignore 33 because x must be less than 30,

working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5  (= 26.83)  (which is the answer)

The last 2 choices give values smaller than 24 and are hence cannot be the answer

8 0
2 years ago
Part A: Determine if the expression is one of our special products. If so, identify it by its general form:
kondaur [170]

Answer:

1.

Part A: Yes, it is (a - b)².

Part B: a² - 2ab + b² => (x - 6)² = x² - 12x + 36.

Part C: x² - 12x + 36.

2.

Part A: Not a special product.

Part B: Binomial distribution => (x + 8)(x + 1) = x² + 9x + 8.

Part C: x² + 9x + 8.

3.

Part A: Yes, it is (a + b)²

Part B: a² + 2ab + b² => (3x + 2)² = 9x² + 12x + 4.

Part C: 9x² + 12x + 4.

4.

Part A: Yes, it is (a + b)(a - b), a difference of squares.

Part B: a² - b² => 4x² - 49

Part C: 4x² - 49

5.

Part A: Not a special product.

Part B: Binomial distribution => (x - 5)(2x - 5) = 2x² - 15x + 25.

Part C: 2x² - 15x + 25

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3 years ago
Last week Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones out of total of 997 ice cream cones. Based on this data, w
AleksAgata [21]

Answer:

52/997

Step-by-step explanation:

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3 cars are washed 27 minutes at a car wash
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