3 years ago

What is the slope of the line

Mathematics

1 answer:

prisoha [69]3 years ago

3 0

Answer :

The slope of the line is 0

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After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.

laila [671]

Answer:

Question 1: 0.081 min⁻¹

Question 2: 168ºF

Explanation:

The missing equation is:

$T=T_a+(T_0-T_a)e^{-kt}$

You are given:

Ta = the temperature surrounding the object = 73ºF
T₀ = the initial temperature of the object = 204ºF
t = 2.5 min
T after 2.5 min = 180ºF

Question 1: Find the the value of k.

Substitute the data into the equation and solve for k:

$180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}$

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

$T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF$

4 0

3 years ago

In the diagram below, BE ~ BC, mLC = 32° and m/BFD = 103°. Find<br> m

steposvetlana [31]

Answer:

Here's a rainbow of logic.

Step-by-step explanation:

5 0

2 years ago

Can some one pls help me with these questions it is really argent

ahrayia [7]

Number 5 i dont know. i got 8.85×10^6, but its not one of the choices. number 6 i got A.12.57

7 0

2 years ago

Which expression is a factor of 12x2 + 29x – 8?

Contact [7]

Answer:

3x + 8, hope this helps.

4 0

3 years ago

The formula y = mx + b is called the slope-intercept form of a line. Solve this formula for m

Evgesh-ka [11]

Answer:

m = $\frac{y-b}{x}$

Step-by-step explanation:

Given

y = mx + b ( subtract b from both sides )

y - b = mx ( divide both sides by x )

$\frac{y-b}{x}$ = m

3 0

3 years ago

What is the slope of the line ​

What is the slope of the line