1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nat2105 [25]
2 years ago
8

The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature fin

ding to be 91.8 F. The body is taken to the morgue and at 12:30 pm the body temperature is 84.4 F. Using an exponential model for the body temperature, to the nearest minute, what time was he killed. Normal body temperature is 98.6.
Mathematics
1 answer:
taurus [48]2 years ago
7 0

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = a(e)^{nt}

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = 98.6(e)^{nt} --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

                              = 1 hour

Therefore, equation will be,

84.4 = 91.8(e)^{n\times 1}

eⁿ = \frac{84.4}{91.8}

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = 98.6(e)^{-0.08403t}

(e)^{0.08403t}=\frac{98.6}{91.8}

ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}]

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

                          = 10:90 - 00:51

                          = 10:39 am

You might be interested in
3. The matrices show the enrollment of boys and girls on the basketball, lacrosse, and soccer teams in two towns. Town A Town B
bazaltina [42]
(a). The element a₂₁ is the number of boys enrolled in Lacrosse.

(b). The address is a₁₂.

(c). [196   174]
      [136   169]
      [214    242]

(d). The matrix represents the number of boys and girls from towns A and B enrolled in different sports classes.

(e). 1.125 A = [108   90  ]
                       [72     99  ]
                       [117   135]<span />
8 0
3 years ago
A retangle has a perimeter (p) of 58 inches. The length (L) is one more than 3 times the width (W)
worty [1.4K]

The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?

Answer:

Length(L)=22 inches

Width(W) = 7 inches

Step-by-step explanation:

GIven:-

Perimeter (p)=58 inches,

Length(L)= one more than 3 times the width(W)

Let, W=x   ---------------------------------(equation 1

L=3x+1  -----------------------(equation 2)

Here x is unknown and to find the Width(W) we have to find the value of x.

Now,

Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)

p=2L+2W

p=2(3x+1)+2x  ----------------(from equation 1)

58=6x+2+2x   ----------------(given p=58 inches)

58=8x+2

8x=58-2

8x=56

x=\frac{56}{8}

x=7          ----------------------(equation 3)

Now substituting the value of equation 3 in equation 2.

L=3x+1

L=(3\times 7)+1

L=21+1

L=22

L=22 inches

as, W=x   -----------------------(from equation 1)

W=7 inches -------------------(equation 3)

Therefore, Length(L) = 22 inches and Width(W) = 7 inches.

7 0
3 years ago
I need help on number 10 urgently.
grigory [225]

Answer: Option A. 288 cubic inches

6 0
3 years ago
Read 2 more answers
Please someone help me I need help!!
Sphinxa [80]

Answer- your answer would be 5/11

8 0
2 years ago
Color 1/2 circle yellow and 2/4 of circle red are they equal
xxMikexx [17]
Yes the red and yellow are equal because 2/4 equals 1/2 and 2 halves equal 1 whole.
3 0
3 years ago
Read 2 more answers
Other questions:
  • What are the solutions to the quadratic equation (5y + 6)2 = 24? y = and y = y = and y = y = and y = y = and y =
    5·2 answers
  • 12% As a fraction and a decimal
    10·2 answers
  • I will give brainliest
    14·1 answer
  • The temperature was -11. By noon, it increased by 12. What was the temperature at noon?
    13·2 answers
  • PLSSSS HELPP ASSPPPP!!!!
    9·1 answer
  • (3-5i)(2+9i)+(7+2i)(7-2i)
    7·1 answer
  • Help me please and thank you
    9·1 answer
  • Which angles are corresponding angles?
    6·2 answers
  • Omggg plzzz helpp this shiiii hard!!!
    14·2 answers
  • Sketch the graph of y = negative 2 x squared + x + 1 using your graphing calculator. What are the x-intercepts of this graph? a.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!