The time that has elapsed before the body was found is 1.5 hour
What is Newton's method of cooling ?Newton's law of cooling states that the rate of heat loss from a body is inversely related to the temperature difference between the body and its surroundings.
Given:
when time, t = 0, temperature = 98.6 ⁰F
when time, t = 1, temperature = 75⁰
when time, t = t, temperature = 80⁰
By Newton's method of cooling equation;
T(t) = [tex]T_s (T_0 - T_s)e^{kt[/tex]
T(t) = 70+ 28.6[tex]e^{kt[/tex]
Now, At the time of discovery
80 = 70+ 28.6[tex]e^{kt[/tex]
10= 28.6[tex]e^{kt[/tex]
Then, 1 hour later( t + 1) we have the second equation;
75= 70 + 28.6[tex]e^{kt[/tex]
28.6[tex]e^{kt[/tex] = 5
Now, divide equation 1 by equation 2;
2= [tex]e^{-k[/tex]
k = -0.693
The time when he dead body was discovered
10= 28.6[tex]e^{kt[/tex]
10= 28.6[tex]e^{-0.693[/tex]
-0.693t = ln (10 /28.6)
-0.693t = -1.05
t= 1.5 hour
Hence, the time that has elapsed before the body was found is 1.5 hour
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for a study with 4 groups, how many independent research questions can be asked? this is the same as the maximum number of planned research questions recommended in your book.
In a book, a study of analysis with four groups is recommended to include a maximum of four prepared research topics.
These projects give you and your students the chance to research watershed-related subjects outside of the regular chemical water testing every three weeks. They give your pupils the chance to hone their research and scientific method skills, examine issues related to waterways that interest them, and analyze data and solve problems. For a study with four groups, a book can only prescribe a maximum of four planned research topics.
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A new health drink has 170% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamin are in the drink?
suppose that a full 3-ary tree has 100 internal vertices. how many leaves does it have? suppose that a full 4-ary tree has 100 leaves. how many internal vertices does it have?
Answer:
i = (L – 1)/(m – 1) = 99/3 = 33. i = 33.
Step-by-step explanation:
algebra 1
solve the system of equations without graphing. show reasoning.
please explain bc i have no clue what im doing
Answer:
(2,-1)
Step-by-step explanation:
I need part a and how the answer was made ‼️
Answer:
Step-by-step explanation:
a mouse weighs around 18–35 gram. [ 1] , while an average elephant around 5,443 kilogram. [ 2] Which means an elephant is about 200,000 times heavier then a mouse. (of course, a baby elephant of 100 kilogram compared to a heavy mouse (33 1 3 gram) only weighs 3000 times heavier) Footnotes. [ 1] Species Specific Information: Mouse.
you are analyzing a pcr run and see that one of your samples is a high positive but the internal control failed. what should you do?
Try reducing your annealing temperature by a few degrees and repeat the PCR.
What is the principle of PCR machine ?
The PCR technique is based on the enzymatic replication of DNA. In PCR, a short segment of DNA is amplified using primer mediated enzymes. DNA Polymerase synthesis new strands of DNA complementary to the template DNA.
You should try reducing your annealing temperature by a few degrees and repeat the PCR. If the problem is due to a high annealing temperature, then you should start to see something. Or, even better, if your PCR machine has a gradient functionality then perform a gradient PCR to test a variety of annealing temperatures at once.To learn more about PCR check the given link
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Brandon went to the store to buy some walnuts. The price per pound of the walnuts is $6.50 per pound and he has a coupon for $3.75 off the final amount. With the coupon, how much would Brandon have to pay to buy 5 pounds of walnuts? Also, write an expression for the cost to buy
p
p pounds of walnuts, assuming at least one pound is purchased.
Yes. Yes I know. It’s stuff from years ago. My teacher is making me do this review thing and I don’t remember anything past a week ago.
The deli ell 3 time a many tuna andwiche in one month a roat beef. How many more tuna andwiche were old than roat beef I’m 5 month? Explain
More than twice as many roast beef sandwiches as the deli sold over the course of five months.
Explain the term thrice of the number?Three times, such as a series; three times or in three different ways. in a threefold amount or level.Let the tuna sandwich sold by deli be 'x'
Then, tuna sandwich for 5 months-
1st month - x1
2nd month - x2
3rd month - x3
4th month - x4
5th month - x5
Then,
Selling of roast beef sandwich is 3 times more than tuna sandwich.
Then, roast beef sandwich for 5 months-
1st month -3x1
2nd month - 3x2
3rd month -3x3
4th month - 3x4
5th month - 3x5
Thus, the difference is-
Difference = (3x5 + 3x4 + 3x3 + 3x2 + 3x1) - (x1 + x2 + x3 + x4 + x5)
Difference = 2x1 + 2x2 + 2x3 + 2x4 + 2x5
Thus, more than twice as many roast beef sandwiches as the deli sold over the course of five months.
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Answer:
Step-by-step explanation:
Determine the ratio of the geometric sequence: 1/16, -1/4, 1,...
Answer:
The common ratio of the given sequence is - 4-------------------------------
Given sequence:
1/16, - 1/4, 1, ...Find the common ratio, the ratio of two consecutive terms:
r = 1 ÷ (- 1/4) = 1 × (- 4) = - 4or
r = - 1/4 ÷ 1/16 = - 1/4 × 16 = - 4the equation of a circle is x^2+y^2=42.25
Find the radius of the circle.
Answer:
radius = 6.5
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 42.25 ← is the equation of a circle centred at the origin
with r² = 42.25 ( take square root of both sides )
r = [tex]\sqrt{42.25}[/tex] = 6.5
For the following problems, write the equation that is relevant to solve the problem, the values of the variables that you will use in that equation, and a complete sentence stating what your answer to the question is. Your answer must include appropriate units 1. Five and a half years ago, Elena invested $20,000 in a retirement fund that grew at a rate of 2.96% compounded continuously. What is the investment worth today? What was the interest earned for that investment so far? 2. How long will it take for an investment with an annual rate of 2.85% compounded quarterly to double in value? (Doubling time). How long will it take for the same investment to quadruple in value?
Investment worth today is $23520 and interest earned = $3520 on compound interest.
What is compounding interest?
Compound interest is interest calculated on the initial principal, that conjointly includes all of the accumulated interest from previous periods.
Generating "interest on interest" is thought because the power of interest.
Main body:
1)
time = 5.5 years
rate = 2.96%
Principle amount = $20000
Compounding interest = P(1+r/n)^tn
where
n = number of times interest applied per time period
t=number of time periods elapsed
here n = 365
Amount = 20000(1+0.0296/365)^5.5*365
= 20000*1.176
= $23520
hence ,interest earned = $23520 - $20000 = $3520
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how many four-digit numbers greater than 2999 can be formed such that the product of the middle two digits exceeds 5?
The 3360 possible four-digit numbers are greater than 2999.
What is the combination?
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
We know it has to be a four-digit number,
The first digit has to be between 3 and 9 (inclusive) so there are 7 options.
The unit digit can be any number so there are 10 options.
The answer will be 7 * (# of possible middle digit combos) * 10.
There are 7*48*10 = 3360 possible four-digit numbers.
Hence, the 3360 possible four-digit numbers are greater than 2999.
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The floor of a rectangular living room is 12 meters by 5 meters. What is the distance between opposite corners of the living room?
Answer: I dunno
Step-by-step explanation:
Answer: 13
Step-by-step explanation: Solve this problem by. using the Pythagorean Theorem
[tex]12^{2} + 5^{2} = \sqrt[2]{C}[/tex]
144 + 25 = 169
[tex]\sqrt[2]{169}[/tex] = 13
THe Hypotenuse or distance between the triangle diagonals is 13.
what is the relative humidity of the parcel at sea level on the leeward side? (fill in only the letter: a, b, c, or d, all caps) a) 25%, b) 33%, c) 100%, or d) 58%
The relative humidity of the parcel at sea level on the leeward side is 58% that is option D
The amount of water vapour in an air-water mixture relative to the maximum amount is known as relative humidity (RH). RH is a comparison between the humidity of a specific water-air mixture and the saturation humidity ratio at a particular temperature (dry-bulb)
By deducting the temperature on the wet-bulb thermometer from the temperature on the dry-bulb thermometer and utilizing a relative humidity chart, one may determine the relative humidity.
The relative humidity of the parcel at sea level on the leeward side is 58%
Option d is the correct answer
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A lake fishing map is laid out on a coordinate plane with each unit equal to 1 mile. The boat is launched from the point (-5, 0) and goes to point (-5, 5) to fish. From
there, the boat travels to (0, 0) to fish and then goes back to the launch point
Determine the total number of miles traveled. Round to the nearest whole number.
05 miles
07 miles
O17 miles
O50 miles
The total number of miles traveled is given by the following option:
17 miles.
How to obtain the total distance?The total distance is divided into three parts, obtained as follows:
First part: From point (-5,0) to point (-5,5).Second part: From point (-5,5) to point (0,0).Third part: From point (0,0) back to the launch point of (-5,0).The generic notation of two points is given as follows:
[tex](x_1,y_1), (x_2,y_2)[/tex]
The distance between two points is then given by the equation presented as follows:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence each distance in this problem is given as follows:
First part: 5 miles.Second part: 7 miles.Third part: 5 miles.The total distance is the sum of each distance, hence it is given as follows:
5 miles + 7 miles + 5 miles = 17 miles.
Hence the third option is correct.
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the numbers 1447, 1005, and 1231 have something in common: each is a 4-digit number beginning with 1 that has exactly two identical digits. how many such numbers are there?
There can be 432 Types of Combinations for a 4-digit number beginning with 1 that has exactly two identical digits
What is permutation and combination?
The process of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the components of a set if the set is already ordered. Nearly all areas of mathematics involve permutations in some form or another. They frequently appear when various orderings on particular finite sets are taken into account.The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations. Combination refers to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection or k-combination with repetition are often used.[tex]$11xy,\qquad 1x1y,\qquad1xy1$[/tex]
Because the number must have exactly two identical number digits,[tex]$x\neq y$[/tex], [tex]$x\neq1$, and $y\neq1$[/tex]. Hence, there are [tex]$3\cdot9\cdot8=216$[/tex] number of this form.
Now suppose that the two identical digits are not 1. Reasoning similarly to before, we have the following possible combination:
[tex]$1xxy,\qquad1xyx,\qquad1yxx.$[/tex]
Again,,[tex]$x\neq y$[/tex], [tex]$x\neq1$, and $y\neq1$[/tex]. There are [tex]$3\cdot9\cdot8=216$[/tex] numbers of this form.
Thus the answer is 216+216=432
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help me out with probability
The probability of selecting D twice in the random selection is D. 4 / 9.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
It should be noted that the probability of selecting D will be:
= 2 / 3.
Therefore, the probability of selecting D twice will be the multiplication of the probability that's gotten twice. This will be illustrated thus:
= 2 / 3 × 2 / 3
= 4 / 9
Therefore, the probability is 4 / 9.
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A local deli makes turkey sandwiches and salami sandwiches at a weekly ratio of 2 salami sandwiches for every 5 turkey sandwiches. If the deli makes 60 turkey sandwiches this week, how many salami sandwiches did they make?
5 salami sandwiches
16 salami sandwiches
30 salami sandwiches
24 salami sandwiches
A local deli makes turkey sandwiches and salami sandwiches at a weekly ratio of 2 salami sandwiches for every 5 turkey sandwiches. If the deli makes 60 turkey sandwiches this week, how many salami sandwiches did they make?
5 salami sandwiches
16 salami sandwiches
30 salami sandwiches
24 salami sandwiches
2 to 5 = x to 60
60/5 = 12
2 * 12 = 24
Brandon enters bike races. He bikes 6 1/2 miles every 1/2 hour. Complete the table to find how far Brandon bikes for each time interval.
Answer:
Step-by-step explanation:
There are two sets of rainfall data for two different time periods in the same location. Period 1: 2. 3, 2. 1, 2. 2, 2. 2, 2. 2, 2. 1, 2. 4, 2. 5, 2. 2, 2. 0, 1. 9, 1. 9, 2. 1, 2. 2, 2. 3 period 2: 2. 3, 2. 1, 3. 3, 1. 5, 3. 6, 1. 6, 3. 0, 1. 1, 4. 7, 2. 1, 2. 4, 1. 9, 2. 8, 0. 5, 2. 3 what can you say about the agreement in the data sets?.
A scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.
What is scatter plot ?
Dots are used to indicate values for two separate numeric variables in a scatter plot . The values for each data point are shown by the position of each dot on the horizontal and vertical axes.
Scatter plot shows the relationships between variables are visualized using scatter plots.
The given data can highlight the distribution patterns or demonstrate two sets of rainfall data for two different time periods in the same location.
From the given data, it is observed that the given data is observed in the scatter plot.
Hence, a scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.
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a sample of difference scores has a mean of 5 with a variance of 100. if effect size is measured using cohen’s d, what is the value of d?
The value of d is 0.05.
What is cohen?
A standardized effect size called Cohen's d is used to compare the means of two groups. It's frequently applied when contrasting a treatment with a control group. It may be an acceptable effect size to include with the findings of the t-test and the ANOVA. Cohens d is often used in psychology.
Here, we have
Given
Mean = 5
Standard deviation = 100
We have to find the value of d
So, we apply here formula for d
Cohen d = mean / standard deviation ........................1
Now, we put the value of mean and standard deviation and we get
Cohen d = 5 / 100
Cohen d = 0.05
Hence, the value of d is 0.05
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Each bag of cereal should contain 350 grams. a box was selected at ramdon and weighed 342 grams. what is the percent error?
The percentage error in selecting the random box is 2.285 %
Let the total amount of bag of cereal be = 350 grams
The box selected at random had a weight of = 342 grams
We know the formula of percentage error.
The percentage error is calculated by the formula
Percentage Error =
( ( Original Value - Observed Value ) / Original Value ) x 100
Plug the values in above formula:
Percentage Error = ( ( 350 - 342 ) / 350 ) x 100
= ( 8 / 350 ) x 100
= 0.02285 x 100
= 2.285 %
Hence , The percentage error in selecting the random box is 2.285 %
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Which on blue, light blue yellow or red?
Step-by-step explanation:
of course there is an explanation. and a correct answer (not just a wild guess).
f(x) = 2x
g(x) = 2x² - 1
f(g(x)) means that x is first processed by g, and then the result of that is processed by f.
in other words, the whole functional expression of g becomes the input argument for f.
therefore,
f(g(x) = 2(2x² - 1) = 4x² - 2
so, the correct answer is light blue.
Your friend simplifies the following problem. Describe what error was made. No credit for just the correct final answer, we are looking for you to tell us what is wrong with how this was solved.
The error was made when he added the number in the radical expression in the computation, despite the fact that the numbers do not have the same base.
What are the radical expressions?Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.
The expression is given in the question following:
4√5 + 7√3
11√8
The error was made in that he add the number in the radical expression in the calculation while the terms are not the same base.
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Which table could be a partial set of values for a linear function?
Responses
x y table 1
0 0
1 1
2 4
3 9
x y 0 0 1 1 2 4 3 9 , , ,
x y table 2
0 0
1 1
2 8
3 27
x y 0 0 1 1 2 8 3 27 , , ,
x y table 3
0 0.0
1 0.5
2 1.0
3 1.5
x y 0 0.0 1 0.5 2 1.0 3 1.5 , , ,
x y table 4
0 0.0
1 0.5
2 2.0
3 4.5
Answer:
table 3
Step-by-step explanation:
As we know that
A Linear function is the one whose graph represents a line OR value of its dependent and independent variable change at a rate which remains constant throughout.
Now in the fourth table the values of x and y are given as show below:
write a formula for f, the specific antiderivative of f. (remember to use absolute values where appropriate.) f(u)
The antiderivative of a function f will be the integral of differentiated value of the function i.e. the function itself.
What is Antiderivative of a function?
A function is said to be antiderivative if its derivative equals the original function. The antiderivative function is the same as an indefinite integral. The limit of a sum of terms f (x) x in the limit that approaches zero, where is the integrand function, is known as a definite integral.
Considering a function f(x) = Sin x
dy/dx = Cos x
Now, the integral of Cos x would be known as Anti derivative.
here, ∫ Cos x = Sin x
thus, Anti derivative of Cos x is equal to the function itself.
hence, proved.
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the daily scrum is an event that happens every day. what would be three concerns if the frequency were to be lowered to every two or three days
Three problems would arise if the frequency of scrum was lowered to every two or three days.
(A) There may be missed opportunities to examine and amend the sprint backlog.
(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.
(C) Too much time is spent updating the scrum board prior to meetings.
What is a scrum?
Scrum is a project management framework that was initially focused on software development, while it has now been applied to other areas such as research, sales, marketing, and cutting-edge technology.
It is intended for groups with ten or fewer members who divide their work into tasks that can be finished in sprints, which are time-boxed iterations that can be done in as little as one month and most frequently two weeks.
If the frequency was reduced to every two or three days, there would be three issues.
(A) The chances to review and modify the Sprint Backlog may be missed.
(B) The Sprint plan becomes imprecise; obstacles are raised and removed more slowly.
(C) Too much time is spent before meetings updating the scrum board.
Therefore, three problems would arise if the frequency was lowered to every two or three days.
(A) There may be missed opportunities to examine and amend the sprint backlog.
(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.
(C) Too much time is spent updating the scrum board prior to meetings.
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Circle A has center of (−2, −1) and a radius of 2, and circle B has a center of (1, 2) and a radius of 4. What steps will help show that circle A is similar to circle B? Group of answer choices Translate circle A using the rule (x − 3, y − 3) Rotate circle A 180° about the origin Reflect circle A over the line y = x Dilate circle A by a scale factor of 2
Circle A will be enlarged by a scale factor of 2 to assist demonstrate how circle A and circle B are comparable.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).
The equation of a circle with the center and radius r
( x − a )² + ( y − b )² = r²
The equation of circle A,
(x-(-2))²+(y-(-1))²=2²
x²+4+4x
The equation of circle B,
(x-1)²+(y-2)²=4²
Thus, circle A will be enlarged by a scale factor of 2 to assist demonstrate how circle A and circle B are comparable.
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A circle is centered on point BBB. Points AAA, CCC and DDD lie on its circumference. If \blue{\angle ABC}∠ABCstart color #6495ed, angle, A, B, C, end color #6495ed measures 40^\circ40 ∘ 40, degrees, what does \orange{\angle ADC}∠ADCstart color #ffa500, angle, A, D, C, end color #ffa500 measure?
Answer:
122°
The measure of the central angle is twice the measure of the inscribed angle that subtends the same arc.
∠ABC = 2×∠ADC = 2×61°
∠ABC = 122°
Step-by-step explanation:
HELPPP MREEEEEEEEEEEED SLAY
Answer:
l. and ll and lll only
Step-by-step explanation:
Horizontal lines are parallel so as suggested in:
1. Vertical angles are congruent, so 5a = 115.
2. Alternate interior angles are congruent, so b - 12 = 65.
3. Corresponding angles are congruent and linear angle pairs sum up to 180, so (b-12) + 65 = 180.
However, alternate interior angles are congruent,
as stated in 2nd suggestion too, so the sum is not 180 but 130.
Therefore 4th suggestion is not correct.