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SIZIF [17.4K]
3 years ago
8

Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room

's temperature decreased by 0.5 ∘ Celsius each minute, and Quinn woke up 60 minutes later when it was 10 ∘ Celsius.
Mathematics
2 answers:
wel3 years ago
7 0
Cooling was bringing the temperature down 1 degree c every 2 minutes. 60min /2 =30°c . 10°c +30°c =40°c
The temperature was 40°c when he first returned home.
eimsori [14]3 years ago
7 0

Answer: Temperature after 60 minutes is -20° C.

Step-by-step explanation:

Since we have given that

Temperature at initial = 10° C

Decrement rate = 0.5°C per minute

Number of minutes taken = 60 minutes

According to question,

Temperature after 60 minutes would be

10+60\times -0.5\\\\=10^\circ C-30^\circ C\\\\=-20^\circ C

Hence, Temperature after 60 minutes is -20° C.

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andriy [413]

Answer:

7/11

Step-by-step explanation:

7y +6+4y+13=26

firstly collect like terms

7y+4y+6+13=26

11y+19=26

11y=26-19

11y=7

then divide through by 11

y=7/11

5 0
3 years ago
What is the distance from 3, 5) to 4.-12)?​
enyata [817]

Answer:

Step-by-step explanation:

P1 = (3.5,5)  in the form  (x1,y1)

P2 = (3.5,-12) in the form (x2,y2)

dist = sqrt[ (x2 - x1)^2 + (y2-y1)^2 ]

dist = sqrt[ (3.5-3.5)^2 + (-12-5)^2 ]

dist = sqrt [ 0  -17^2]

dist = 17

4 0
3 years ago
Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
Julli [10]

Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

3 0
3 years ago
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oee [108]

Answer:

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Step-by-step explanation:

Given

4x² - 4x + 1 = 0

To complete the square the coefficient of the x² term must be 1

Factor out 4 from 4x² - 4x

= 4(x² - x) + 1 = 0

add/subtract ( half the coefficient of the x- term )² to x² - x

4(x² + 2(- \frac{1}{2} )x + \frac{1}{4} - \frac{1}{4} ) + 1 = 0

4(x - \frac{1}{2} )² - 1 + 1 = 0

4(x - \frac{1}{2} )² = 0

8 0
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Answer:

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Step-by-step explanation:

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