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2 years ago

Given the function f(x)=|x+5|,find each of the following F(10),f(-5),f(0)

Mathematics

1 answer:

kirza4 [7]2 years ago

7 0

Answer:

In attachment

Step-by-step explanation:

$|a|=a\qquad\text{if}\ a>0\\\\|a|=-a\qquad\text{if}\ a$

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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

What is the answer to this question please help

LuckyWell [14K]

Answer:

(x+5)(x-3)

Step-by-step explanation:

We can factor the equation to be

(x+5)(x-3)

5 0

3 years ago

Convert 50 kilogram to pounds. (The conversion factor from kilogram to pound is 2.2046.) A. 52.2 lb. B. 110.2 lb. C. 22.6 lb. D.

ss7ja [257]

Answer: (B) = 110.2

50*2.2046 = 110.23

5 0

3 years ago

What is the y-intercept of y = 5?

Vikentia [17]

Answer:

The answer is .

whenever y equals 5 this usually means that 5 is the answer because on the Y intercept it usually is just five but if you had x equals 7 the x intercept would be 7 .

3 0

2 years ago

Identify 3 major arcs of circle that contain point A?

natita [175]

Answer:

Minor Arcs (two capital letters) Arcs that have a degree measure of less than 180 degrees.

Major Arc (three capital letters) Arcs that have a degree measure greater than 180 degrees.

Semi Circle (three capital letters) Arcs that have a degree measure equal to 180 degrees.Step-by-step explanation:

3 0

2 years ago