Answer:
5 p.m.
Step-by-step explanation:
Newton's law of cooling-
[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]
where,
[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)
k = 0.1947,
T(t) = 66 F,
[tex]t_a[/tex] = 55 F,
Putting the values,
[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]
Therefore, the time of death was 7 hours before midnight i.e at 5 pm.
Brenda collected this data from an experiment.
For the line of fit h = 0.6t + 0.44, what is the residual of the data point at t = 11?
Answer:
7.04
Step-by-step explanation:
To get the value of residual of the data point, we simply substitute 11 for t
The substitution equation is h = 0.6t + 0.44
Substituting 11, we have
h = 0.6(11) + 0.44
h = 6.6 + 0.44
h = 7.04
Answer:
The residual of the data point h = 0.6t + 0.44, is h = 7.04.
Step-by-step explanation:
Given the line of fit, h = 0.6t + 0.44, which Brenda collected from an experiment, at the point t = 11, the residual of the data point is obtained by replacing t with 11 in the given equation h = 0.6t + 0.44.
Doing this, we have
h = 0.6(11) + 0.44
h = 6.6 + 0.44
= 7.04
This is what we want to obtain.
Hello i really need help
Step-by-step explanation:
The equation is
X + 10205 = 21894
X = 21894 - 10205
X = 11689
A punch recipe requires lemonade, ginger ale, pineapple juice and orange juice to be mixed in the
following ratio
1:3: 2:4
If 400mL of pineapple juice is used, how much lemonade, ginger ale and orange juice is needed
to make the punch?
Lemonade mL :
Ginger Ale mL :
Orange Juice ML :
Answer:
lemonade : ginger ale : pineapple juice : orange juice
l:g:p:o = 1:3:2:4
-------------
p=400 ml
2=400 ml ⇒ 1= 200 ml, 3= 600 ml, 4= 800 ml
Lemonade mL : 200
Ginger Ale mL : 600
Orange Juice ML : 800
If m2 CBD = 42 and m2 DBE = 26, what is the measure of ZABE?
A. 26
B.42
C.112
D.124
Give the singular form :
1 . Bodies
2. Joys
3. loaves
4. coolies
5. keys
6. bushes
7. sheep
8. watches
9. storeys
10 . rays
11. feet
12. wives
13. children
14. lilies
15. fairies
Brainliest to whoever answers best and with a good explanation .
Thanks!!
Answer:
Given below hope it helps!
Step-by-step explanation:
The steps for changing from plural to singular are:
If there is an (s) after the word remove
If there is an ies after the word remove and add y
If there is ves remove and add f or fe
However there are a few exceptions and I will point it out in the answer:-
1) body
2) joy
3) loaf
4) coolie
(In this cooly won't make sense so we just remove the s)
5) key
6) bush
7) sheep
(The singular of sheep is also sheep)
8) watch
9) storey
10) ray
11) foot
(The singular is foot because no other rule applies to this word, this is an exception)
12) wife
13) child
(This is an exception too where we remove ren)
14) lily
15) fairy
Divide (10x^3 + 19x^2 + x - 7) by (5x + 2)
Answer:
2x² + 3x - 1 - 5/(5x +2)
Step-by-step explanation:
2x² + 3x - 1
__________________
5x + 2 | 10x³ + 19x² + x - 7
| -10x³ - 4x²
| 15x² + x
| - 15x² - 6x
| - 5x - 7
| 5x +2
| - 5
2x² + 3x - 1 - 5/(5x +2)
*EASY 7 GRADE MATH*
FIRST ANSWER WILL BE MARKED AS BRAINLIEST!
Find the area and circumference of a circle with a diameter of 48 cm. Use 3.14. :) Thanks!
Answer:
C=150.72 cm
A=1808.64 cm square
Step-by-step explanation:
If you are given the diameter(radius) of a circle you can find the area and the circumference of a circle.
since d(diameter)=2r(radius)
48=2r
r=24
[tex]C=2\pi r\\ C=2*3.14*24\\C=6.28*24\\C=150.72cm[/tex] If we found the circumference only the area is left.
[tex]A=\pi r^{2} \\A=3.14*24^{2} \\A=3.14*24*24\\A=3.14*576\\A=1808.64 cm^{2}[/tex]
If the temperature is 20c what is it in Fahrenheit.
Answer:
The answer is 68 degrees Fahrenheit.
Step-by-step explanation:
The equation to convert Celsius to Fahrenheit is (C × 9/5) + 32.
So, first we calculate Celsius times 9/5. 20×9/5 = 36.
Then, we add 36 and 32 together. 36+32= 68
So, 68 is your answer.
upper limit of 40 to 50
Answer:
So the class mark of class interval 30 - 40 is " 35 "
When you use the distance formula you are calculating the length of the _____ of a right triangle
Answer:
hypotenuse
Step-by-step explanation:
When you use the distance formula you are calculating the length of the hypotenuse of a right triangle.
When using the distance formula, you are making a right triangle whose hypotenuse connects two given points.
Answer: The blank would be hypotenuse if I’m not mistaken!
Evaluate the trigonometric expression. Round your answer to four decimal places.
10 tan 20º =
a0
Answer:
3.6397
Step-by-step explanation:
10 tan (20°) = 3.6397
Help please.... question number 1
Answer:
20
Step-by-step explanation:
The height of the platform is when t=0
h(0) = -4(0)^2 + 75(0) +20
=20
The height of the platform is 20
¿Cual es el perímetro de un hexágono regular cuyo lado mide 16,5cm?
Step-by-step explanation:
6(16.5 cm) = 99 cm
How much is 2a+b greater than 2b? Simplify your result
Step-by-step explanation:
2a+b is just greater than 2b with a
First gets a brainly :D
Answer:
[tex]47.25\[/tex]
Step-by-step explanation:
[tex]42 \times 1.125[/tex]
[tex]=47.25[/tex]
Answer:
$25.2
Step-by-step explanation:
what is the midpoint of the segment shown below (-6,-2) (-1,5)
Answer:
(-3.5,2.5)
Step-by-step explanation:
[tex]m=\left( \dfrac{-6+-1}{2},\dfrac{-2+5}{2} \right)=\left( \dfrac{-7}{2},\dfrac{3}{2}\right)=\left( -3.5,2.5 \right)[/tex]
Hope this helps!
Which is a property of an angle
Answer:
it had made of two lines including an angle...
Find the slope of the line
y
=
3
4
x
− 1
.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:The answer is negative three
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
find the value of x
I think,
the value of x is 90°
Much help needed thank you
Answer:
14.29
Step-by-step explanation:
Let p be the price of the cd
we take the price of the cd plus the tax and it must be less than or equal to 15
the tax is the price of the cd times 5 %
p + p*.05 ≤15
Combine like terms
p*1.05 ≤15
Divide each side by 1.05
p ≤15/1.05
p ≤14.28571429
Rounding to the nearest cent
p ≤14.29
The maximum price is 14.29
This is a compound event problem. (Check the videos from this week's assignments.).
You roll a fair six-sided die and spin a spinner. What is the probability that the die shows a 4 and the spinner lands on yellow?
Fraction
Decimal (provide the first 5 decimal numbers)
Percent % (Round to the nearest tenth.)
Answer:
1/12
Step-by-step explanation:
The desired probability is the product of the probabilities of two independent events. The probability of obtaining a 4 on the fair 6-sided die is 1/6 (one out of 6) and that of the spinner's coming to rest on Yellow is 2/4, or 1/2.
Calculate the probability of this joint event as follows: (1/6)(1/2) = 1/12
U.U AYUDa porfis porfis t.t
Answer: a+b = 12
Los triangulos verdes son semejantes entre si por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. De igual forma los triangulos azules son semejantes por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. En general el factor de proporcionalidad de los triangulos es 1:2 siendo en ambos casos el grande el doble del pequeño. Por tanto
a+2 = 2(3)
a=4
10 = 2(b-3)
b=8
Luego a+b = 12
Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded his score for each round. Rickie’s mother asked him if his scores varied more in June or July. Rickie claims that a measure of center will answer his mother’s question. Is Rickie’s claim correct?
Answer:
The measure of variability should be used.
Step-by-step explanation:
It is provided that Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded the cores for each round.
Now to determine in which month Rickie's score varied the most the measure of variability would be used and not measure of center.
This is because:
The Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.
Whereas the measure of variability is used to determine the amount of variability in the data set. They represent how far the observations are from the center of the data set.
Thus, to answer his mother's question, the measure of variability should be used.
In Chemistry, Seth recorded the weight of copper tubing as 15.4 grams. The actual weight was 15.8 grams. What is his percent of error, rounded to the nearest percent?
Answer: -2.6%
Step-by-step explanation:
Percent error is the difference between the measured and known value, and then we divide by the known value, and then multiply by 100%.
Estimated.number = 15.4 grams.
Actual number = 15.8 grams
Percentage error = (Estimated number - Actual number)/Actual number × 100
= (15.4 - 15.8)/15.8 × 100
= -0.4/15.8 × 100
= 0.0253 × 100
= 2.53
= -2.6% approximately
The probability distribution below is:
a. negatively skewed
b. symmetric
c. positively skewed
Answer: NEGATIVELY SKEWED
Step-by-step explanation: I just took the assignment ;)
Answer:
A. B. A.
Step-by-step explanation:
negatively skewed
less than the median
greater than the median
solve v=1/3 bh for b
Answer:
3v/h = b
Step-by-step explanation:
1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3
3 * v = (1/3 bh) * 3 --> 3v = bh
divde both sides by h and you get 3v over h = b
3v/h = b
Hope this helps!
Answer:
3v/h = b
Step-by-step explanation:
v = 1/3bh
3v = bh
3v/h = b
Please help! Correct answer only!
In a raffle, one ticket out of 200 will win a $980 prize, one ticket will win a $950 prize, one ticket will win a $270 prize, and one ticket will win a $260 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " - $ 12.30
Step-by-step explanation:
Consider the steps below;
[tex]Total Number of Tickets - 200 Tickets,\\Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 200\\\\Amount Won ( First ) = 980 Dollars,\\Amount Won ( Second ) = 950 Dollars,\\Amount Won ( Third ) = 270 Dollars,\\Amount Won ( Fourth ) = 260 Dollars\\\\Proportionality ( First ) - 1 / 200 = x / 980,\\Proportionality ( Second ) - 1 / 200 = x / 950,\\Proportionality ( Third ) - 1 / 200 = x / 270,\\Proportionality ( Fourth ) - 1 / 200 = x / 260,\\\\1 / 200 = x / 980,\\200 * x = 980,\\x = 4.90,\\\\[/tex]
[tex]1 / 200 = x / 950,\\200 * x = 950,\\x = 4.75,\\\\1 / 200 = x / 270,\\200 * x = 270,\\x = 1.35,\\\\1 / 200 = x / 260,\\200 * x = 260,\\x = 1.3[/tex]
[tex]Conclusion ; " Expected Payoff " = 4.90 + 4.75 + 1.35 + 1.3 = 12.30[/tex]
Find the length of side AB. Give your answer to 1 decimal place.
Answer:
Length of side AB = 5.6 cm
Step-by-step explanation:
From the figure attached.
In right triangle ABC,
m∠ABC = 62°
m(BC) = 12 cm
By applying Cosine rule in this triangle,
Cos62° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
Cos62°= [tex]\frac{AB}{BC}[/tex]
0.46947 = [tex]\frac{AB}{12}[/tex]
AB = 12 × 0.46947
AB = 5.63
≈ 5.6 cm
Therefore, length of side AB = 5.6 cm
Length of side AB = 5.6 cm.
Calculation of the length of side:Since In right triangle ABC,
m∠ABC = 62°
m(BC) = 12 cm
Here we used the cosine rule
So, it is
[tex]Cos 62 = AB\div BC\\\\0.46974 = AB\div 12[/tex]
So, AB = 5.6 cm
hence, Length of side AB = 5.6 cm.
Learn more about length here: https://brainly.com/question/21676565
shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $69
Answer: $96.60
Step-by-step explanation:
40% * 69 = markup price
0.4 * 69 = 27.6
Now add it to the wholesale price which is the price the store bought the shoes.
$27.6 + $69 = $96.60
or
100% + 40% = 140%
140% of 69 = ?
1.4 * 69 = $96.60
Which is equivalent to 64 Superscript one-fourth?
Step-by-step explanation:
Info : 2^(6)=64
then
64^(1÷4) = (2^(6))^(1÷4)
=2^(6÷4)
=2^(3÷2)
=2√(2)
=2.828427124746
Answer:
2√2
Step-by-step explanation:
edge 2020