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Lina20 [59]
3 years ago
12

Simplify: Need help ASAP ty

Mathematics
2 answers:
mart [117]3 years ago
6 0
The answer is Number 1
enyata [817]3 years ago
4 0
The first one
11x - 2
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The formula below, Newton's law of cooling, allows us to calculate the temperature of an object as it cools. T = R + (T0 − R)e-k
trasher [3.6K]
The Newton`s law of cooling:
T = R + ( To - R ) * e ^(-kt )
We know that: T = 32° F ( the water freezes at 32° F ), To = 55° F, R = 5° F
and the cooling rate is:  k = 0.012.
33° F = 5° F + ( 55° F - 5° F ) · 2.72^(-0.012 t )
33 - 5 = 50 · 2.72^(-0.012 t)
27 = 50 · 2.72^(-0.012 t)
2.72^(-0.012 t) = 27/50
1 / 2.72^(0.012 t) = 0.54
2.72^( 0.012 t ) = 1 : 0.54 = 1.85
0.012 t = log(base e) 1.85 = ln 1.85 = 0.6
t = 0.6 : 0.012 = 50
Answer: It would take 50 minutes.
 

7 0
3 years ago
Read 2 more answers
Simplify: 18q2−45q+25/9q2−25.
Svet_ta [14]

Answer:

\frac{(6q-5)}{(3q+5)}

Step-by-step explanation:

Given: \frac{18q^{2}-45q+25 }{9q^{2}-25 }

Factorizing the numerator and the denominator, we have:

18q^{2} - 45q + 25 = 18q^{2} - 30q - 15q + 25

                         = (3q - 5)(6q - 5)

and

9q^{2} - 25 = (3q - 5)(3q + 5)

So that,

\frac{18q^{2}-45q+25 }{9q^{2}-25 } = \frac{(3q-5)(6q-5)}{(3q-5)(3q+5)}

                 = \frac{(6q-5)}{(3q+5)}

Therefore,

\frac{18q^{2}-45q+25 }{9q^{2}-25 } = \frac{(6q-5)}{(3q+5)}

5 0
3 years ago
Is 32.725 greater or less than 32.735
AURORKA [14]
’32.725 is less than. 32.735
6 0
3 years ago
Read 2 more answers
Tom sees an enormous thundercloud approaching
ikadub [295]

Using the slope concept, it is found that the thundercloud is 6.43 miles above the ground.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem, we have that:

  • The angle is of 65º.
  • The vertical distance is the height h.
  • The horizontal distance is of 3 miles, as the sound takes 5 seconds to travel 1 mile, and it took 15 seconds.

Hence:

tan(65º) = h/3.

h = 3 x tan(65º)

h = 6.43 miles.

The thundercloud is 6.43 miles above the ground.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

3 0
1 year ago
Determine whether the equation is linear or not. Then graph the equation by finding and plotting ordered-pair
Ghella [55]

Answer:

it is linear the above given equation.

4 0
2 years ago
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