The newton's law of cooling is used to determine the waiting time
You will have to wait for 20 minutes to carve the turkey
How to determine the time?By newton's law of cooling, we have:
[tex]T = (T_o - T_R) e^{-rt} + T_R[/tex]
From the question, we have:
T = 100°f ---- The serving temperature
To = 180°f --- The initial temperature
TR = 72°f ----- the room temperature
r = 0.067 -- the cooling rate
So, we have:
[tex]T = (T_o - T_R) e^{-rt} + T_R[/tex]
[tex]100 = (180 - 72) e^{-0.067t} + 72[/tex]
Subtract 72 from both sides
[tex](180 - 72) e^{-0.067t} = 28[/tex]
Evaluate the difference
[tex]108 e^{-0.067t} = 28[/tex]
Divide both sides by 108
[tex]e^{-0.067t} = 0.25923[/tex]
Take the natural logarithm of both sides
[tex]-0.067t = -1.3500[/tex]
Divide both sides by -0.067
[tex]t = 20.149[/tex]
Approximate
[tex]t = 20[/tex]
Hence, you will have to wait for 20 minutes to carve the turkey
Read more about newton's law of cooling at:
https://brainly.com/question/13748261
17.1 equation of a circle evaluate homework and practice
Based on the calculations, the radius of this circle with the given equation is equal to 5 units.
Given the following data:
[tex]x^2+y^2+8x-6y+21=0[/tex]The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Expanding the equation, we have:
[tex]x^2+y^2-2hx-2ky+(h^2+k^2-r^2)=0\\\\r=\sqrt{h^2+k^2}[/tex]
Comparing the terms, we have:
[tex]-2hx = 8x\\\\-2h=8\\\\h=\frac{8}{-2}[/tex]
h = -4
[tex]-2ky = -6y\\\\-2k=6\\\\k=\frac{6}{-2}[/tex]
k = 3.
Now, we can determine the radius:
[tex]r=\sqrt{-4^2+3^2}\\\\r=\sqrt{16+9} \\\\r=\sqrt{25}[/tex]
r = 5 units.
Read more on circle here: https://brainly.com/question/14078280
A camera is mounted on a tripod feet high at a distance of feet from george, who is feet tall. look at the model to the right. if the camera lens has angles of depression and elevation of , will george's feet and head be seen by the lens? if not, how far back will the camera need to be moved to include george's feet and head?
To capture his feet and head, the camera will need to be moved at least one foot backward. This is an Angles of Elevation and Depression theorem exercise.
What is the Angle of Elevation Theorem?The angle of elevation is the angle between the line of sight and the horizontal line when an observer looks up. While the Angle of Depression refers to the angle that is formed when the observer looks down.
The formulas are given as:
tan θ = y/x ⇒ θ = tan -1 (y/x).
How to calculate the distance required for the camera to capture Geroge completelyLet us assume that x is the distance in feet that the tripod must be moved back.
Recall that the angle of depression and elevation as given in the question (full version attached) is 20°
The height of the Tripod is 4 feet, at a distance of 10 feet, therefore,
tan (20°) * (10 + x) = 4
⇒
x =4/tan (20°)-10
x= 4/(10.989909678 - 10)
x = 0.9899
x ≈ 1 feet.
Hence the camera must be moved back about 1 feet to capture Geroge..
See the attachements and learn more but Angles of Depression and Elevation at: https://brainly.com/question/15580615
Which is one way surface water may become groundwater
Surface water becomes groundwater through infiltration.
What is infiltration?Infiltration is a term to refer to the method by which water seeps into the ground to recharge underground water reservoirs. In this process, the water molecules pass through the soil and are grouped in underground water deposits.
Why is groundwater important?Groundwater is important because it is a reservoir of fresh water for consumption. Additionally, these reservoirs help preserve the surrounding vegetation species.
Learn more about groundwater in: https://brainly.com/question/10005777
What is the sum of the series 1+ln2+(ln2)22!+⋯+(ln2)nn!+⋯?
Answer:
e
ln
(
2
)
=
2
Explanation:
The lagrange corporation had the following budgeted sales for the first half of the current year: cash sales credit sales january $70,000 $340,000 february $50,000 $190,000 march $40,000 $135,000 april $35,000 $120,000 may $45,000 $160,000 june $40,000 $140,000 the company is in the process of preparing a cash budget and must determine the expected cash collections by month. To this end, the following information has been assembled: collections on sales: 60% in month of sale 30% in month following sale 10% in second month following sale the accounts receivable balance on january 1 of the current year was $70,000, of which $50,000 represents uncollected december sales and $20,000 represents uncollected november sales. The total cash collected during january by lagrange corporation would be:
Assuming $20,000 represents uncollected november sales. The total cash collected during january by lagrange corporation would be:$331.500.
Total cash collectedFirst step
Total Credit Sales in December= $50,000/40%
Total Credit Sales in December= $125,000
Second step
Total cash collected during January = Cash sales of January + (60% x Credit sales of January) + (30% x Credit sales of December)+ Uncollected November sales
Let plug in the formula
Total cash collected during January = $70,000 + (60% x $340,000) + (30% x $125,000) + $20,000
Total cash collected during January=$70,000+204,000+37,500+$20,000
Total cash collected during January=$331,500
Inconclusion the total cash collected during january by lagrange corporation would be:$331.500.
Learn more about Total cash collected here:https://brainly.com/question/17270007
Big ideas math algebra 1 student journal answer key
Answer:
thats not a real question and just look lt up
Explanation:
Suppose that 30% of a population carries a certain gene. you want to estimate the probability that it will take at least a sample of four to find a person that carries the gene, how could you simulate a person having or not having the gene?
Answer:
A
Explanation:
Since only 30% of the population carries the gene, that would mean 70% doesn't carry it. Since you are using 10 digits for this experiment (0-9) this would mean that 0-2 would carry the gene (this equals 30%) and 3-9 would not (70%)
to catalyze a biochemical reaction an enzyme typically
Answer:
Enzyme catalysis An enzyme catalyzes a biochemical reaction by binding a substrate at the active site.
Explanation:
The catayze is a biomedical reaction of an enzyme that typically binds the substance at the active site.
What is a biomedical reaction?Biomedical reaction is the transformation of one of the molecule into a different molecule that is located inside the cell.
These reactions are then medicated by enzymes and act like biological catalysts. They can alter the rate of the chemical reactions inside the cell.
Find out more information about the biochemical reaction.
brainly.com/question/6356175
In a certain video game, the variable maxps represents the maximum possible score a player can earn. the maximum possible score depends on the time it takes the player to complete the game. the value of maxps should be 30 if time is greater than 120 and 50 otherwise.
The code segment that best sets the value of maxPS is the first one because it includes complete and correct information.
What is a code segment?
As indicated by its name, it refers to a small section in the program's executable instructions.
How to select the best code segment?The code segment should include complete and accurate information. In this case, we know:
The maxPS is directly related to time.The maxPS is usually 50.This condition is not Met if the time is over 120 which would lead to 30 maxPS.Based on this, the best code segment is A because this accurately shows the maxPS is 50 except when time is over 120 as this changes the maxPS to 30.
Note: This question is incomplete because the options are missing; below I attach the missing section:
Which of the following code segments correctly sets the value of maxPS based on the value of time?Learn more about code segment in: https://brainly.com/question/26683418
What is the product of 33 and 10\sqrt{28}10 28 in simplest radical form?
The product of 3 and 10√28, in its simplest radical form is: 60√7.
What is Product?Product simiply means the result you get by multiplying two quantities.
Given the values, 3 and 10√28, the product would be found as shown below:
3 × 10√28
= 30√28
Simplify the radical
30√(4 × 7)
30 × 2√7
= 60√7
Therefore, the product of 3 and 10√28, in its simplest radical form is: 60√7.
Learn more about product on:
https://brainly.com/question/1130868
Maslow’s hierarchy of needs is an organized progression from one’s most basic needs to less basic or discrete needs.
It should be noted thy Maslow’s hierarchy of needs is an organized progression from one’s most basic needs to less basic or discrete needs.
What is Maslow’s hierarchy of needs?Maslow’s hierarchy of needs serves as the organization of human needs from top yo bottom of the needs scale.
The needs are are classified as;
physiological (food and clothing) safety (job security) love and belonging needs self-actualization.Therefore, the given statement is correct.
Learn more about Maslow’s hierarchy of needs at:
https://brainly.com/question/1785981
Answer:
It's True
Explanation:
A wave travels 600 m/s at a frequency of 200 hz. what is its wavelength?
The wavelength of the wave traveling at the given velocity and frequency is 3m.
Given the data in the question;
Velocity of wave; [tex]v = 600m/s[/tex]Frequency; [tex]f = 200Hz = 200s^{-1}[/tex]Wavelength; [tex]\lambda = \ ?[/tex]WavelengthWavelength is simply defined as the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.
It is expressed as;
[tex]\lambda = \frac{v}{f}[/tex]
Where v is velocity and f is frequency.
To determine the wavelength of the wave, we substitute our given values into the expression above.
[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{600m/s}{200s^{-1}} \\\\\lambda = \frac{600ms/s}{200}\\\\\lambda = 3m[/tex]
Therefore, the wavelength of the wave traveling at the given velocity and frequency is 3m.
Learn more about wavelength: brainly.com/question/27120701
True or false in a parallelogram any two opposite sides are congruent
Answer:
True
Explanation:
Among the properties of a parallelogram is that opposite sides are congruent.
hope this helps and is right!! p.s. i really need brainliest :)
All of the following are included in the heading of an income statement except:
Answer:
the header of the income statement.
income statement
business name
the dates of the accounting period that the income statement will cover.
What is the volume of the cone? use π ≈ 3. 14. 12. 56 cubic units 18. 84 cubic units 20. 93 cubic units 25. 12 cubic units
Answer:
Explanation:
the following formula is used to find the volume of a cone
V - volume = πr²h/3
where π = 3.14, r - radius and h - height
the height hasnt been directly given
we can find height using Pythogoras theorem for the right angled triangle given
4² + h² = 5²
16 + h² = 25
h² = 25 - 9
h² = 9
h = 3
height = 3
diameter is 4, therefore radius - diameter / 2 = 4/ 2 = 2
radius = 2
substituting values in the volume equation
V = 3.14 x 2² x 3 /3
= 12.56
volume is 12.56 cubic units
select the correct proper or common name for the compound.
Answer:
Select the correct proper or common name for the compound. ) ale F F The compound is named: benzyl 2,3,4-trifluorobutanoate phenyl 2,3,4-trifluorobutanoate phenyl 1,2,3-trifluorobutanoate O 1,2,3-trifluoropropylbenzoate Classify the compound by family. The compound is an ester an anhydride an acid chloride a carboxylic acid an amide.
Explanation:
A college student earns $ 15 , 000 working part time at a bookstore. the student pays 1 10 of the earnings in taxes, spends 2 5 of the earnings on living expenses, and saves the remainder of the earnings. how much money does the student save?
The amount she will have left having been working as a part time at a bookstore $14,865
What is savings?Savings is the amount left after deducting expenses spent. it is the money set aside for future use and not spent immediately.
Given that:
Total amount earned by the student
= $15000
Earning paid off in taxes
= $110
Amount spent on living expenses
= $25
Amount she will have left
= $15000 - ($110 + $25)
= $15,000 - $135
= $14,865
Hence the amount she will have left is $14,865
Learn more about discount here : https://brainly.com/question/26867684
Fast food restaurants keep food warm by placing them under heat lamps. These lamps transfer heat by what means?
Answer:
Fast food restaurants keep food hot with infrared lamps. The heat is transferred to the food by radiation
Explanation:
the heat lamps produce radiation just like a microwave.
When a ball is dropped down from rest and air friction is neglected, determine the speed it is gaining per second.
Answer:
yes it is true it is gaining per second
Math accelerated chapter 12 volume and surface area
The example of shapes that was studied under the Math accelerated chapter 12 workbook is The volume of the prism is shown as 61.6in³. What is the height of the prism?
What is Math Accelerated Textbook?The Glencoe Math Accelerated is known to be a comprehensive robust text that has been set up to support the teachers teaching skills and styles and also to address the needs of your students.
To solve for the height of the prison. The formula is
V = lwh
V = 61.6
V= 8 x 2.2 x h
H = 61.6/17.6
H= 17.6h/17.6
H = 3.5in³
Learn more about surface area from
https://brainly.com/question/16519513
What was one of the primary challenges that lenin faced in converting russia into a communist state?
Nate’s ice-cream cone has a diameter of 4 cm and a height of 14 cm. what is the approximate volume of the ice-cream cone?
Answer: 58.643 cm^3
Explanation:
Volume of a cone = (1/3) * π * r^2 * h
Half of the diameter is the radius, so r = 2 and h = 14.
Plug in: V = (1/3) * π * 2^2 * 14 = 58.643 cm^3 :)
Big ideas math geometry student journal answer key chapter 9
An example of Big ideas math geometry student journal question is what percentage of 260 is 65?
What is Big Ideas Math?This is known to be a very popular Core Curriculum that has been set for Middle School and High School Mathematics. It was found to be written by Ron Larson and Laurie Boswell.
To solve for the percentage of 260 that is 65, one has to categorized them
Percentage will be p:
So the equation will be:
p. 260 - 65
p = 65/ 260
p = 0.25 which is approximately 25 percent.
Therefore a percentage of 260 that is 65 is 25%.
Learn more about geometry from
https://brainly.com/question/24375372
Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + − 1 2 n
The sum of the first ten terms of the given sequence when approximated to four decimal places is; 9.6758
What is the sum of the sequence?
We are given the formula for the sequence as;
aₙ = 1 + (⁻¹/₂)ⁿ
Thus;
First term; a₁ = 1 + (⁻¹/₂)¹ = 0.5
a₂ = 1 + (⁻¹/₂)² = 1.25
a₃ = 1 + (⁻¹/₂)³ = 0.875
a₄ = 1 + (⁻¹/₂)⁴ = 1.0625
Fifth term; a₅ = 1 + (⁻¹/₂)⁵ = 0.96875
a₆ = 1 + (⁻¹/₂)⁶ = 1.01563
a₇ = 1 + (⁻¹/₂)⁷ = 0.99219
a₈ = 1 + (⁻¹/₂)⁸ = 1.00391
a₉ = 1 + (⁻¹/₂)⁹ = 0.99805
Tenth term; a₁₀ = 1 + (⁻¹/₂)¹⁰ = 1.0098
Thus, sum of all those ten terms is;
S₁₀ = 9.6758
Read more about sum of sequence at; https://brainly.com/question/27201995
What is black and white and has lots of problems worksheet answers
15.5 angle relationships in circles evaluate homework and practice
The measure of angle MPK is acute angle between the intersecting lines
The measure of MPK is 86 degrees
How to determine the measure of the angle?To calculate the angle measure of MPK, we use the following equation:
MPK = 0.5 * (MK + LN)
From the figure, we have:
MK = 61
LN = 111
So, we have:
MPK = 0.5 * (61 + 111)
Evaluate the product
MPK = 86
Hence, the measure of MPK is 86 degrees
Read more about angle measures at:
https://brainly.com/question/24775470
A small rodent lives in an area where the average temperature has been increasing drastically over a very short period of time. As a result, this species of rodent will most likely _____. Have more offspring in order to increase its survival rate evolve to have less hair over the course of a few years become the predominant form of life become extinct if the temperature gets too high
correctly label the following components of the kidney.
The correct labelling of the components of the kidney is;
From left top:
Renal artery and veinHilumKidneyFibrous capsulePerirenal fat capsuleRight:
UreterRenal fasciaWhat is a kidney?This is an organ in the body that filters the blood and produces urine.
The Functions Of The KidneysTo Extract Waste From Blood, To balance Body Fluids, To form UrineTo aid In Other Important Functions Of The BodyLearn more about kidneys:
https://brainly.com/question/1933049
identify the true and false statements related to race, ethnicity, and work.
Race is the distinctive physical trait of a person, ethnicity is the social group an individual belongs to, while work is the physical or mental activities an individual is involved with.
The statements about race, ethnicity, and workThe statements made about race, ethnicity, and work that are true include the following:
Some lower-level jobs have shifted from African Americans to Hispanics over time.Blacks are overrepresented in nursing, psychiatric, and home health aide positions.The median income for Hispanics is higher than the median income for blacks.The statements made about race, ethnicity, and work that are false include the following:
The median income for whites is higher than the median income for Asian Americans.Learn more about ethnicity here:
https://brainly.com/question/593106
According to your research, you need to budget for insurance and gasoline if you choose to buy or lease the new car. If you choose to buy the used car, you need to budget for insurance and gas
Based on your research, you need to budget $275 for insurance and gasoline if you choose to buy or lease the new car and If you choose to buy the used car, you need to budget $225 for insurance and gas.
What is budget?A budget is a term that connote the estimation that is done for revenue and expenses in a a specified future timeframe.
It is known to be often used by governments, businesses, and individuals and research has shown that a person needs to budget $275 for insurance to buy or lease the new car.
See full question below.
According to your research, you need to budget _____
for insurance and gasoline if you choose to
buy or lease the new car.
If you choose to buy the used car, you need to budget _____
for insurance and gas.
$225 $200
$250 $225
$275 $250
Learn more about budget from
https://brainly.com/question/24940564
Answer:
$275
$225
Explanation: