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cluponka [151]
3 years ago
8

Multiply (a-2)(2a^2-5a-2)​

Mathematics
1 answer:
sergey [27]3 years ago
8 0

Distribute sum groups

a(2a^2 - 5a - 2) - 2(2a^2 - 5a - 2)

Expand

2a^3 - 5a^2 - 2a - (4a^2 - 10a - 4)

Simplify brackets

2a^3 - 5a^2 - 2a - 4a^2 + 10a + 4

Collect like terms

2a^3 + (-5a^2 - 4a^2) + (- 2a + 10a) + 4

Simplify

<u>= 2a^3 - 9a^2 + 8a + 4</u>

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A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft
Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature  (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

\frac{T(t2)-T(t1)}{t2-t1} ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

\frac{27 - 46}{15 - 0} = -h (27 - Tenv)

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)

Now we have a system of two equations and two variables

\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18

The refrigerator was at around 13 ∘C

6 0
3 years ago
M-15=9 inverse operation
zheka24 [161]

Answer: 24

Step-by-step explanation:

m - 15 + 15 = 9 + 15

m = 24

6 0
2 years ago
If u subtract 17 from my number and multiply the difference by -7, the result is -35.What is my number
Kryger [21]

Let x = your number.

(x - 17) * -7 = -35. Divide each side by -7.

(x - 17) = 5. Add 17 to each side.

x = 22.

Your number is 22

5 0
3 years ago
Read 2 more answers
Which is independent and which is dependent.
Arada [10]
Idk if you are talking about independent and dependent variables but if you are then the independent variable is the variable that is changed or controlled and the dependent variable is the variable being tested and measured in a scientific experiment. Hope this helps!!!❤️
3 0
3 years ago
The top of the cylindrical can shown below has a diameter of 7 centimeters (cm).
Sidana [21]

Answer:

Circumference of the can is 21.98 cm.

Step-by-step explanation:

Since, top of the cylinder can shown in the figure is in the shape of a circle

Circumference of a circle is given by the formula,

Circumference 'C' = π × Diameter

Where r = radius of the circle

Therefore, circumference of a circle with diameter 7 centimeters will be,

C = 7π

   = 7 × 3.14

   = 21.98 cm

Therefore, circumference of the can is 21.98 cm.

5 0
3 years ago
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