Answer:
False
Step-by-step explanation:
A regression line tries to average out all data points, so it may not touch any of them.
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
help and I’ll give you brainliest
Answer:
m<k= 63
Step-by-step explanation:
(4x+7)+(6x-9)+62=180
Dave earned $12 for mowing 4 lawns. What is the rate earned per lawn mowed?
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
Please help me answer this
Answer:
the first.option is the right answer
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
f(x) = x2 - 4; f(-3)

1 1/4 packages of beads to make 10 bracelets. he wants to make 25 bracelets. how many packages of beads will he use
Answer:
55/8
Step-by-step explanation:
If 11/4 packages of beads are used to make 10 bracelets;
Hence the number of packages of beads that would be used to make 25 bracelets = (11/4 × 25)/10 = 55/8 packages of beads.
A recipe says it produces the best summer drink. The recipe calls for cup of lemonade for every 1 cups of iced tea. If 16 cups of the summer drink are made, how many of those are cups of lemonade? Re-create the table to give your answer.
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:
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
Antonio just signed up for new phone plan and is comparing his fees to that of his friend
Marcus. They both create equations so that they could compare their fees with each other.
Antonio's plan: Monthly cost 3 (.75m + 10) + 2.50m – 15 where m is the
number of minutes used
Marcus's Plan: Monthly cost 2 (1.75m + 12.50) – .75m + 4 where m is the
number of minutes used by setting their monthly cost equal, decide after how many minutes the two plans will cost the same
Answer:
7 minutes
Step-by-step explanation:
Antonio's plan: Monthly cost
3 (.75m + 10) + 2.50m – 15
Marcus's Plan: Monthly cost
2 (1.75m + 12.50) – .75m + 4
where, m = number of minutes used by setting their monthly cost equal
3 (.75m + 10) + 2.50m – 15 = 2 (1.75m + 12.50) – .75m + 4
2.25m + 30 + 2.50m - 15 = 3.5m + 25 - .75m + 4
4.75m + 15 = 2.75m + 29
4.75m - 2.75m = 29 - 15
2m = 14
Divide both sides by 2
m = 14 / 2
= 7
m = 7 minutes
Suppose you take a simple random sample of size n=175 from the population of Reese's Pieces, still assuming that 45% of this population is orange (LaTeX: \piπ=.45).
What is the probability that a sample proportion of orange candies will be between .35 and .55?
Answer:
The probability is [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 175
The population proportion is p = 0.45
Generally the mean of the sampling distribution is [tex]\mu_{x} = 0.45[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }[/tex]
=> [tex]\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }[/tex]
=> [tex]\sigma_{x} = 0.0376[/tex]
Generally the probability of that the sample proportion of orange candies will be between 0.35 and 0.55 is
[tex]P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )[/tex]
=> [tex]P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )[/tex]
Generally [tex]\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)[/tex]
So
[tex]P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )[/tex]
=> [tex]P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )[/tex]
From the z-table
[tex]P( Z< 2.6595 ) = 0.99609[/tex]
and
[tex]P( Z< - 2.6595 ) = 0.0039128[/tex]
So
[tex]P(0.35 <X < 0.55) =0.99609 - 0.0039128[/tex]
=> [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]
Pls help i dont understand :( will give Brainliest + 25 Points
HEY YOU, YES YOU, PLEASE HELP ME ASAP!!
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?
y= 4x-3?
Help me please
Answer:
5 hi
Step-by-step explanation:
evaluate the expression when x=3:5x+12
Answer:
27
Step-by-step explanation:
5(3)=15 +12 = 27
Triangle EFG is graphed below. If the triangle is translated 4 units to the right and 3 units down, what will be the coordinates of G’ ? A. (3,-2) B. (3,4) C. (2, -3) D. (2,2)
Answer:
A) (3,-2)
Step-by-step explanation:
A) (3,-2)
Lucy wants to buy a skateboard that had an original price of $60. It is marked down 30%. She lives in a state that has a 10% sales tax. What is the final price she will pay for the skateboard, including tax?
Answer:
$46.20
Step-by-step explanation:
First you find the markdown price which you can find by doing 60x.7 and you get 42. Then you multiply that by .1 and add that answer to 42 and you have an answer.
Can someone please help, ty!!
(Will mark brainliest)
Answer:
4 hours
Step-by-step explanation:
50+5x=15x
50=20x
x=4
Select two ratios that are equivalent to 7: 10.
Just trying to get my late work done ✅ thxs
Answer:
21:30
35:50
Step-by-step explanation:
21 divide by 3 =7 30 divide by 3=10
35 divide by 5=7 50 divide by 5=10
If (4,-9) is rotated 270° about the origin the new point would be :
A. (-9,-4)
B. (9, 4)
C. (-4,9)
D. (-9,4)
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:
For the function h(x) = x2- 2, find the range:
If the domain is {-1, 0, 3}
Answer:
-4, -2, 4
Step-by-step explanation:
-1(2)-2
0(2)-2
3(2)-2
I hope this helped.
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
There are 3 different roads from city A to city B and 2 different roads from city B to city C. In how many ways can someone go from city A to city C passing by city B.
Answer: 6
Step-by-step explanation: Since there are three different ways to get from A to B, that creates three variants of each way to get from B to C.
Say the roads are numbered. From A to B, you can use roads 1, 2, or 3. From B to C, you can use roads 4 or 5. The different combinations are 1-4, 1-5, 2-4, 2-5, 3-4, and 3-5.
Is 1/3 a repeating decimal ?
Answer:
yes i also poop on poop though so it is fun
Step-by-step explanation:
1/3= poop
Answer:
Yes.
Step-by-step explanation:
1/3 = 0.333333333
Pop smoke - If I call you bae you bae for the day or bae for the night you night wife
Sue has $1.15 in nickels and dimes, a total of 16 coins.
How many nickels and how many dimes does Sue have?
Answer:
9 nickels . 7 dimes
Step-by-step explanation:
i take the same class so i know where u got it from