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kolezko [41]
3 years ago
7

Find each value. 7) P(8,3) a) 512 b) 336 c) 6 d) 24

Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer:

answer is 336

Step-by-step explanation:

I hope you understand what I wrote

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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
of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed o
Ksivusya [100]

Answer:

<em><u>The answer here is 3/25, more left handed students.</u></em>

Step-by-step explanation:

12/100 are left handed, which reduces to 3/25. This means that there are only 3 left handed kids for every 22 right handed kids, showing that there are more right handed students than left handed.

7 0
3 years ago
What is half of 7 the whole number
Volgvan

Answer:

3 1/2

Step-by-step explanation:

You have to do 7 divided by 2 or 1/2 x 7

6 0
3 years ago
Read 2 more answers
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.
lawyer [7]

Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=\frac{p}{h}

3.27=\frac{yz}{xy}

3.27×[xy]=yz

xw+wy=\frac{yz}{3.27}

wy=\frac{yz}{3.27}-80...........(1)

again

In right angled triangle WYZ

Tan 80=\frac{yz}{wy}

5.67×wy=yz

wy=\frac{yz}{5.67}

yz=5.67×wy............................................(2)

E<u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>equation</u><u> </u><u>1</u><u>&</u><u>2</u>

\frac{yz}{5.67}=\frac{yz}{3.27}-80

\frac{yz}{3.27}-\frac{yz}{5.67}=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=\frac{1483.272}{2.4}

yz=618.03

:.y=618.03unit.<u>the length of ZY to the nearest 100</u><u>th</u><u> </u><u>is</u><u> </u><u>6</u><u>1</u><u>8</u><u>.</u>

8 0
3 years ago
Explain whether the example is proportional or non-proportional.
kifflom [539]

Answer:

Porpotional

Step-by-step explanation:

because it is non proportional

5 0
4 years ago
Read 2 more answers
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