I need an answer...............................

Solve for x. Round your answer to the nearest tenth

bonufazy [111]

X is 6.11431

so 6.1 rounded to nearest tenth

8 0

3 years ago

Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180

dezoksy [38]

Answer:

28.3 minutes
53.6°C

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

__

<h3>application</h3>

For the given scenario, we find ...

a = room temperature = 20 . . . . degrees C

b = (180 -20) = 160 . . . . degrees C

c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

__

Solving for t when f(t) = 80, we find ...

80 = 20 +160(1/2)^(t/20)

3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

__

<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

f(45) = 20 +160(1/2)^(45/20)

f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

3 0

2 years ago

Read 2 more answers

-1/3 + (-7/4)<br> pls help

djverab [1.8K]

Answer:

-25

——— = -2.08333

12

Step-by-step explanation:

Step 1 :

7

Simplify —

4

Equation at the end of step 1 :

1 7

(0 - —) + (0 - —)

3 4

Step 2 :

1

Simplify —

3

Equation at the end of step 2 :

1 -7

(0 - —) + ——

3 4

Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 3

The right denominator is : 4

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

3 1 0 1

2 0 2 2

Product of all

Prime Factors 3 4 12

Least Common Multiple:

12

Calculating Multipliers :

3.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 4

Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. -1 • 4

—————————————————— = ——————

L.C.M 12

R. Mult. • R. Num. -7 • 3

—————————————————— = ——————

L.C.M 12

Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-1 • 4 + -7 • 3 -25

——————————————— = ———

12 12

Final result :

-25

——— = -2.08333

12

Processing ends successfully

plz mark me as brainliest :)

7 0

3 years ago

Read 2 more answers

Does anyone know adjacent angles ?

NikAS [45]

I think it would be FGD and HGD

3 0

3 years ago

Find the LCM and HCF of 110 and 220 by prime factorization what do you observe....pls answer this

ElenaW [278]

Answer: Check if numbers are prime. Composite numbers prime factorization (decomposing, breaking numbers down to prime factors). Inscribe them as a product of prime factors, in exponential notation.

8 0

3 years ago