Find the equation in slope-intercept form that describes a line through (2, 4) with slope 0

Water whose temperature is at 100∘C is left to cool in a room where the temperature is 60∘C. After 3 minutes, the water temperat

Tju [1.3M]

Answer:

21.68 minutes ≈ 21.7 minutes

Step-by-step explanation:

Given:

$T=60+40e^{kt}$

Initial temperature

T = 100°C

Final temperature = 60°C

Temperature after (t = 3 minutes) = 90°C

Now,

using the given equation

$T=60+40e^{kt}$

at T = 90°C and t = 3 minutes

$90=60+40e^{k(3)}$

$30=40e^{3k}$

or

$e^{3k}=\frac{3}{4}$

taking the natural log both sides, we get

3k = $\ln(\frac{3}{4})$

or

3k = -0.2876

or

k = -0.09589

Therefore,

substituting k in 1 for time at temperature, T = 65°C

$65=60+40e^{( -0.09589)t}$

or

$5=40e^{( -0.09589)t}$

or

$e^{( -0.09589)t}=\frac{5}{40}$

or

$e^{( -0.09589)t}=0.125$

taking the natural log both the sides, we get

( -0.09589)t = ln(0.125)

or

( -0.09589)t = -2.0794

or

t = 21.68 minutes ≈ 21.7 minutes

6 0

3 years ago

Kite WXYZ has a short diagonal of XZ and a long diagonal of WY. The diagonals intersect at point V. The length of XZ = 8cm, and

Igoryamba

The best and most correct answer among the choices provided by the question is the first choice. Based on my calculations, the length of segment Vy is 16 cm. I hope my answer has come to your help. God bless and have a nice day ahead!

4 0

3 years ago

Read 2 more answers

Complete the square for the expression, then factor the trinomial.

Nuetrik [128]

Answer:

Completing the square we get: $(x-2)^2-(2)^2$

and factoring the term we get: $x(x-4)$

Step-by-step explanation:

We need to complete the square for the expression $x^2-4x$

For completing the square the expression would be of form $a^2+2ab+b^2=(a+b)^2$

For given expression we have to add (2)^2 and subtract to make it complete the square.

$x^2-2(x)(2)+(2)^2-(2)^2\\(x-2)^2-(2)^2$

Now, we have to factor the polynomial using formula $(a)^2-(b)^2=(a-b)(a+b)$

So, $(x-2)^2-(2)^2\\=(x-2-2)(x-2+2)\\=(x-4)(x-0)\\=x(x-4)$

Completing the square we get: $(x-2)^2-(2)^2$

and factoring the term we get: $x(x-4)$

5 0

3 years ago

Please help!!!!!!!!!

dem82 [27]

Answer:

She bought 8 books

Step-by-step explanation:

8.96/1.12

4 0

3 years ago

Read 2 more answers

When deciding how much money to spend on a new car, a good rule of thumb to follow is to budget about one-fifth of your monthly

Lapatulllka [165]

3750(0.20)=$750
1/5 as a percent is 20% and as a fraction it is 0.20

8 0

3 years ago