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) = [tex]a(e)^{nt}[/tex]
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 = [tex]98.6(e)^{nt}[/tex] --------(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 = [tex]91.8(e)^{n\times 1}[/tex]
eⁿ = [tex]\frac{84.4}{91.8}[/tex]
ln(eⁿ) = ln(0.9194)
n = -0.08403
From equation (1),
91.8 = [tex]98.6(e)^{-0.08403t}[/tex]
[tex](e)^{0.08403t}=\frac{98.6}{91.8}[/tex]
[tex]ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}][/tex]
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
how many gallons of water did niles pour into the tank each minute? Please help me asap
Step-by-step explanation:
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0.2) Sharad bought one quintal of onions for Rs 2000. Later he
sold them all at the rate of Rs 18 per kg. Did he make a profit
or incur a loss? How much was it?
Answer: Loss, 200 Rs
Step-by-step explanation:
Given
Sharad bought a quintal of onion i.e. [tex]1000\ kg[/tex] for [tex]Rs.\ 2000[/tex]
So, the cost price of onion is
[tex]\Rightarrow \dfrac{2000}{100}=20\ \text{Rs per kg}[/tex]
He sells it at [tex]18\ \text{Rs. per kg}[/tex]
Here, the Selling price is less than the cost price
So, he incurs a loss of [tex]2\ \text{Rs per kg}[/tex]
For a quintal it is
[tex]\Rightarrow 2\times 100=200\ \text{Rs}[/tex]
[tex]\Rightarrow \text{Loss }\ \%=\dfrac{C.P.-S.P.}{C.P.}\times 100\\\\\Rightarrow \text{Loss }\ \%=\dfrac{20-18}{20}\times 100=10\%[/tex]
What is the value of x in the figure above?
What is Y?
What is the value of z?
What 2 methods can be used to find Z?
Answer:
y=92
z=57
TWO METHODS:
1) z=180-31-92 (small triangle)
2) z=180-60-63 (big triangle)
Step-by-step explanation:
63+29+x=180
x=180-92
x=88
y=180-88
y=92
z=180-31-92
z=57
Please help with my math problems
Answer:
4. D
6. A
Step-by-step explanation:
Help with this due today
Which represents the value of c?
Answer:
Step-by-step explanation:
you are given the law of sines, in the question, so i'm guessing you don't get "law of sines" ???
some times I think people might just be lazy and they don't try, but I can understand if you really don't get "law of sines' b/c it is kinda abstract.
Any way here is how you solve this problem and please ask if you don't understand about something I do to solve this. Ask about it if you don't get it. :)
Sin(45) / c = Sin(45) / 3
now algebraically solve for c
3* Sin(45) / Sin(45) = c
if you're thinking the answer is 3 you're right.
indecently , if you didn't notice, this is an isosceles triangle and they do have the same length legs. so you know that x = 3 right away from that, but, it's good to understand Law of Sines as well. :)
1. When observing the specimen, in which
part of the microscope will you place it?
A. base
B. stage
C. eyepiece D. inclination joint
Answer:
b. the stage
Step-by-step explanation:
The stage typically has a stage clip on either side to hold the slide firmly in place.
14x2 –y2 +3x2 –y+2y2
Answer:
120
Step-by-step explanation:
x+2/3=6 what is x .................
Answer:
x=16/3
x=5 1/3
x=5,3333333.....
Step-by-step explanation:
x+2/3= 6
x= 6-2/3
x=16/3
x= 5 1/3
x=5,33333333333......
I hope this will help you
(4, -3) reflected over the x-axis
Answer:
(4, -3) reflected over the X axis is (4,3)
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
please help meee the question is in the picture
Answer:
The answer is 6cm
Step-by-step explanation:
Divide 14 4/10 by 5 9/16
Alonzo, Alice and Juan again all got different answers when they solve another problem. This time, they were solving:
( − 48 ) ÷ ( − 6 )
Alonzo believes the answer is 8.
Alice believes the answer is -8.
Juan believes the answer is -1/8
Do you agree with any of their answers?
Laura's new bedroom is in the shape of a square and has an area of 144 ft2
What should Laura do to find the length of each side of her bedroom?
The length of each side of her bedroom is 12 feet.
Here,
Laura's new bedroom is in the shape of a square and has an area of 144 ft2.
We have to find the length of each side of her bedroom.
What is Area of square?
If the side of a square is 'x' then, Area of square is [tex]x^{2}[/tex].
Now,
Laura's new bedroom is in the shape of a square and has an area of 144 ft2.
Let length of each side is x.
Then,
[tex]x^{2} = 144\\\\x = \sqrt{144} \\\\x = 12[/tex]
Hence, The length of each side of her bedroom is 12 feet.
Learn more about the area of square visit:
https://brainly.com/question/24487155
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NEED ANSWERS PLEASE!
Which statement is true?
A)
Company l's rate per pound is twice the rate per pound of
Company 2.
B)
Company 2's rate per pound is twice the rate per pound of
Company 1.
© Company. 1's fixed fee is twice the fixed fee of Company 2.
D Company 2's fixed fee is twice the fixed fee of Company 1.
HELP I DONT KNOW HOW TO DO THIS : international space station anniversary emoji math
3)
13 and 31 both are prime numbers. In both numbers, 1 and 3 are common. Now,
make four pairs of such prime numbers from 1 to 100.
13 and 31
17 and 71
37 and 73
79 and 97
hope my ans helps
be sure to follow me
stay safe ❣️
Please help! I will mark you brainiest!!!!
Answer: x = 3
isolate x by adding 4 to each side
2x = 6
Divide by 2 to get x
x = 3
A single die is rolled. Find the probability of getting an odd number or a number less
than 5.
Answer:
Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5
Step-by-step explanation:
WHAT IS 9/2 as a mixed number?
Answer:
4 1/2
Step-by-step explanation:
.
Answer:
4 1/2
Step-by-step explanation:
9/2 as a mixed fraction.
= 9 ÷ 2
= 4 which leaves a remainder of 1
▪Take the 4 as the whole number, take the remainder 1 and place it over the denominator which is 2
You then get your answer.
4 1/2
What is the area of the triangle?
Answer:
16 units²
Step-by-step explanation:
Area of the right triangle = ½ × base × height
base = 8
height = 4
Substitute
Area = ½ × 8 × 4
Area = ½ × 32
Area = 16 units²
What is the hypotenuse of a triangle with legs that are both 4 inches?
By applying Pythagorean's theorem, the hypotenuse of this triangle is equal to: D. √32 inches..
Given the following data:
Adjacent side = 4 inches
Opposite side = 4 inches.
How to calculate the hypotenuse of a triangle?In order to calculate the hypotenuse of this triangle, we would apply Pythagorean theorem.
Mathematically, Pythagorean's theorem is given by this formula:
c² = a² + b²
Where:
c is the hypotenuse.a is the adjacent side.b is the opposite side.Substituting the given parameters into the formula, we have;
c² = 4² + 4²
c² = 16 + 16
c² = 32
c = √32 inches.
Read more on Pythagorean theorem here: https://brainly.com/question/16176867
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1) (x+y)² =
A. x²+2xy+y²
B. x²-2xy+y²
C.x²-2xy-y²
Answer:
a. x^2+2xy+y^2
Step-by-step explanation:
I hope this helps
Maria decides to increase her homework time of 8 hours per week by 15% Calculate her new homework time. Give your answer in hours and minutes
Answer:
Maria's homework time is now 9 hours 12 minutes.
Step-by-step explanation:
Since Maria decides to increase her homework time by 15%.
Then,
15% of 8 hours = [tex]\frac{15}{100}[/tex] x 8 hours
= 0.15 x 8 hours
= 1.2 hours
(Note that: 1.2 hours = 1 hour 12 minutes)
15% of 8 hours = 1 hour 12 minutes
her new homework time = 8 hours + 1 hour 12 minutes
= 9 hours 12 minutes
Maria's homework time is now 9 hours 12 minutes.
The vertex form of the equation of a parabola is y = (x + 5)2 + 49.
What is the standard form of the equation?
O A. y= x2 + 10x + 74
B. y= x2 + 5x +49
O c. y = x2 + 49x + 35
d
O D. y= 5x2 + 10x+ 74
SUBMIT
Answer:
A
Step-by-step explanation:
Fill in the blank.
(x+a) (x+b) = (___) (___)
Answer:
(x+a) (x+b)=x(x+b)+a(x+b)=x²+bx+ax+ab=x²+x(a+b)+ab
Step-by-step explanation:
solution
here, given,
(x+a) (x+b)
= x(x+b) +a(x+b)
=x^2+xb+ax+ab ans
hope this helps u..
Garrett has a current checking account balance of $695. Over the next three days, he receives a direct deposit of $475.75 from his job, pays an annual online banking fee of $24, and makes purchases of $34.21 and $8.92. He then withdraws $60 from an ATM that charges a $3.50 usage fee.
What is Garrett's account balance at the end of the day period? Write your answer in numeric form, such as $1369.05.
Answer:
1040.12
Step-by-step explanation:
695.00
+475.75
=1,170.75
Subtract
24.00
34.21
8.92
60.00
3.50
= 130.63
695.00+475.75=1,170.75-130.63=1040.12
Find the value of x.
Answer:
107
Step-by-step explanation:
x=180-73
x=107
hope it helps
Help please with step by step
Answer:
47.1
Step-by-step explanation:
tan 61 = FD/24
FD = 43 3
cos 19 = 43.3/FE
FE = 43.3/cos 19 = 47.1
which slope represents a like that passes through (4, 1/3) and has a slope of 3/4
Answer:
Answer is in her photo
Step-by-step explanation:
i dont remember need the points though