Answer:
7
Step-by-step explanation:
The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in minutes since the coffee was put on the counter.
a) Is f'(t) positive or negative? Why?
b) What are the units of f'(35)?
c) Suppose that |f'(35)| = 1.5 and f(35) = 68. Fill in the blanks (including units where needed) and select the appropriate terms to complete the following statement about the temperature of the coffee in this case.
At ____ minutes after the coffee was put on the counter, its temperature is ____ and will ____ by about ____ in the next 30 seconds.
Answer:
a
f'(t) is negative
b
The unit is degC/min
c
At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.
Step-by-step explanation:
From the question we are told we are told that
The equation for the temperature of a cup of coffee place on a counter is
[tex]H= f(t)[/tex]
Here t is the time in minutes the coffee was put on the counter
Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time
Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative
Generally the unit of the temperature is in degrees Celsius while that of time is in minutes
So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)
From the question we are told that
[tex]|f(35)'| = 1.5[/tex]
i.e the rate of change of temperature after 35 minutes is 1.5
and
[tex]|f(35)| = 68[/tex]
i.e the temperature of the cup of coffee after 35 minutes is 67 degC
Now after another t= 30 seconds = [tex]\frac{30}{60}= 0.5 \ minutes[/tex] the rate of change of the temperature of the cup of coffee is
[tex]R = |f(35)'| * t[/tex]
=> [tex]R = 1.5 * 0.5 [/tex]
=> [tex]R = 0.75 [/tex]
So
At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.
The value of f'(t) is negative because as the cup of coffee is placed on the counter there is a loss of heat from the cup of coffee to the surroundings as t increases hence f'(t) is negative.
The units of f'(35) = degC/min.
At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.
Given
The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in minutes since the coffee was put on the counter.
1. The value of f'(t) is negative because as the cup of coffee is placed on the counter there is a loss of heat from the cup of coffee to the surroundings as t increases hence f'(t) is negative.
2. What are the units of f'(35)?
The units of f'(35) = degC/min.
3. At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.
At ║f'(35)║ = 1.5 and f'(35) = 68
|f'(35)| = 1.5 represents the rate of change of temperature every 35 minutes = 1.5.
To know more about Temperature click the link given below.
https://brainly.com/question/16045110
Evaluate `int cosec^(2)(7-5x)dx
Answer:
∫ cosec²(7-5x) dx =[-cot(7-5x)]/-5 +c
=(1/5)cot(7-5x)+c
note: d/dx(cotx)=- cosecx
Martha is standing on a street corner in a big city, facing south.
She walks 5 blocks to the south. Then, she turns right and walks 2
blocks. Then, she turns right and walks 3 blocks. Then, she turns
right again and walks 1 block. Finally, she turns left and walks 4
blocks. What direction is she facing when she is done?
A. East
B. North
C. South
D. West
(Answer is north)
Answer:
If the answer is north why did you post it?
timed question need help
Step-by-step explanation:
m-7/3 = m+2
= m-7 = 3(m+2)
= m-7 = 3m+6
= -7-6 = 3m-m
= 2m = -13
= m = -13/2
Terrell had a chain of 56 paper clips. Some of the paper clips fell off. Now there are 38 paper clips in the chain. How many fell off?
Answer:
56 - 38 = 18
Step-by-step explanation:
Answer:
18 paper clips
Step-by-step explanation:
56 paperclips originally - x paperclips = 38 paperclips
56 - x = 38
+ x + x
56 = 38 + x
- 38 - 38
18 = x
x = 18
You are planning a laser tag party. Company A charges $6 per person to use the facility. Company B charges $100 plus $4 per person.
For how many people attending would the companies be equal?
Please answer honestly
Answer:
50 people until it was equal
Step-by-step explanation:
6p=100+4p
2p=100
p=50
6(50)=100+4(50)
300=100+200
300=300
Jesse fixed 40 desserts for a catering event.
Of these, 3/5 had chocolate. How many desserts did NOT have chocolate?
Answer: 16
Step-by-step explanation:
40 / 5 = 8 = 1/5 of 40
8 × 3 = 24 = 3/5 of 40
40 - 24 = 16
Qwik Stop Market’s five cash registers showed the following cash receipts for Saturday: cash register #1. $3,497.22; #2. $2,259.86; #3. $4,178.40; #4. $2,863.17; #5. $4,888.33. What were the total cash receipts for Saturday?
Please answer ASAP :)
Answer:
17 686.98
Step-by-step explanation:
$3,497.22 + $2,259.86 + $4,178.40 + $2,863.17+ $4,888.33.
Answer:
$17,686.98
Step-by-step explanation:
Independent and Dependent Samples Which of the following involve independent samples?
A) Data Set 14 "Oscar Winner Age" in Appendix B includes pairs of ages of actresses and actors at the times that they won Oscars for Best Actress and Best Actor categories. The pair of ages of the winners is listed for each year, and each pair consists of ages matched according to the year that the Oscars were won.
B) Data Set 15 "Presidents" in Appendix B includes heights of elected presidents along with the heights of their main opponents. The pair of heights is listed for each election.
C) Data Set 26 "Cola Weights and Volumes" in Appendix B includes the volumes of the contents in 36 cans of regular Coke and the volumes of the contents in 36 cans of regular Pepsi.
Answer:
(A) Independent
(B) Independent
(C) Independent
Step-by-step explanation:
Independent samples are those samples are drawn from two different population.
Dependent samples are sample collected from the same population but at different times. They are also known as matched pair samples.
(A)
The data collected is for the pair of ages of actresses and actors at the times that they won Oscars for Best Actress and Best Actor categories.
That is the data is in the form (x, y). Here x represents the age of actresses and y represents the age of actors.
Since the data is collected from two different population of male and female, the sample are independent.
(B)
The data collected is for the heights of elected presidents along with the heights of their main opponents.
Again the data is in the form (x, y). Here x represents the heights of elected presidents and y represents the heights of the main opponents.
The samples collected is independent.
(C)
The data collected is for the volumes of the contents in 36 cans of regular Coke and the volumes of the contents in 36 cans of regular Pepsi.
Again the data is in the form (x, y). Here x represents the volumes in the regular Coke cans and y represents the volumes in the regular Pepsi cans.
The samples collected is independent.
y= 4x-3?
Help me please
Answer:
5 hi
Step-by-step explanation:
Which numbers are in order from least to greatest? A. 0.561, 8.627, 5.325 B. 4.057, 4.122, 5.008 C. 1.742, 1.558, 1.671 D. 6.705, 6.527, 6.211
Answer:
1,4,3,2,5
Step-by-step explanation:
The quantities and are proportional
9514 1404 393
Answer:
r = 1
Step-by-step explanation:
Solving the equation for r gives ...
r = y/x
Using the first line of the table, we find r to be ...
r = 5.8/5.8 = 1
The constant of proportionality is r = 1.
Please help me figure this out-
Find the measure of the indicated angle that makes lines U and V parallel.
Answer:
80
Step-by-step explanation:
100°+?=180
?=180-100=80
A phone manufacturer is determining a price for its product using a cost-based pricing strategy. The fixed costs are $100,000, and the variable costs are $50,000. If 1,000 units are produced and the company wants to have a 30 percent markup, what is the price of the phone? (show work)
Answer:
b
Step-by-step explanation:
Cruz 500 ehjsjshxhu 728w
Answer:
dont even know ghnbbjuh
What is the first step to solve 2 (x - 2)< (1 + 2) + 5
Answer:
The first step would be to distribute the 2 outside of the parenthesis
Then the left side of the equation would look like: 2x-4
Step-by-step explanation:
9514 1404 393
Answer:
add 1+2
Step-by-step explanation:
According to the Order of Operations, the first step is to evaluate expressions in parentheses. Here, there are two expressions in parentheses: (x -2) and (1 +2). The first one cannot be evaluated. So, the first step is to evaluate ...
(1 +2) = 3
Then the inequality becomes ...
2(x -2) < 3 +5
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours?
Answer:
13 inches of snow
Step-by-step explanation:
please help me i give brainliest
Answer:
Step-by-step explanation:
1. 120+21=141
2. 21-3=18
3. 7x-21
4. 20+x
5. 45+4x
6. 40+5c
7. 20+22r+26s
It will be nice if you give me brainliest
Good luck!
Scott is running for office. Of the 18,000 votes cast in the election for this office, 55% were for Scott. How many votes were cast for the other candidates? O A. 810 O B. 990 O C. 8,100 D. 9,900
Answer:
C
multiply 55% and 18,000
then subtract what u got with 18000
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
HEY YOU, YES YOU, PLEASE HELP ME ASAP!!
The ratio of cows to chickens on Jack's farm is 3:5. Choose ALL correct statements that describe this relationship.
evaluate the expression when x=3:5x+12
Answer:
27
Step-by-step explanation:
5(3)=15 +12 = 27
How can we efficiently multiply by multiples of 10?
Answer:
just add a zero
Step-by-step explanation:
because if you do all the work it's just a waste of time when you could get the same answer by just adding a zero.
A VISA CARD HAS A 3% CASH BACK BONUS FOR GAS AND A 1% CASH BACK FOR EVERYTHING ELSE. THIS MONTH YOU SPENT $1,500. 1/3 WAS FOR GAS.wHAT WAS YOURCASH BACK BONUS?
Answer:
25 Dollars Cashback Bonus
Step-by-step explanation:
Lets determine both Gas CashBack (x) and Non-Gas CashBack (y) first:
x = 500 (1500 times 1/3 is 500) times .03 = 15
y = 1000 (1500 minus 500) times .01 = 10
x (15) + y (10) = 25
In the inequality -2|2x-3|>-12, what is the range for x?
9514 1404 393
Answer:
-3/2 < x < 9/2
Step-by-step explanation:
You can divide the inequality by -2, then rewrite as a compound inequality:
|2x -3| < 6
-6 < 2x -3 < 6
Add 3 and divide by 2:
-3 < 2x < 9
-3/2 < x < 9/2
List all the factor pairs for the
number 48.
List all the factor pairs for the
number 23.
List all the factor pairs for the
number 12.
List the first 5 multiples for the
number 12.
List the first 5 multiples for the
number 8.
DON'T FORGET TO USE THE
MULTIPLE MONSTER.
(repeated addition or Math
Facts)
List the first 5 multiples for the
number 9.
List the first 5 multiples for the
number 4.
List the first 5 multiples for the
number 7.
Answer:
1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8
Sorry I can do more if needed
Step-by-step explanation:
Find the roots of
25
x
2
−
36
A.
5, 0
B.
5, -6
C.
0, 25
D.
−
6
5
,
6
5
Answer:
D. 65,65
Step-by-step explanation:
I think it's A?
I'm not sure though
For a small charge, you arrange to have the hardware store deliver your purchase for you
You pay for your purchase, plus the sales tax, plus the delivery charge.
help and I’ll give you brainliest
Answer:
m<k= 63
Step-by-step explanation:
(4x+7)+(6x-9)+62=180
what is 1325864 in expanded form
Answer:
1,000,000 + 300,000 + 20,000 + 5,000 + 800 + 60 + 4
Step-by-step explanation:
which verb would make this statement an example of personification?
the cell phone
a. shook
b. rang
c. danced
d. lit up