Answer:
in 3 minutes and 50 seconds
Step-by-step explanation:
soup = 95c
after 1 minute = 83c
after 2 minutes = 71c
after 3 minutes = 59
soup cools down 0.2c in 1 seconds
so 10 seconds = 2c
in 3 minutes and 50 seconds = 49c
The temperature 49°C of soup bowl will be after 5.54 minutes
Newton law of coolingAccording to Newton's law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundingsThe formula is as follow:[tex](T-T_{s} )=(T_{0} -T_{s} )e^{-kt}[/tex]
What are the steps to solve this problem?Given[tex]T =[/tex] 83°C and 49°C
[tex]T_{s} =[/tex] 22°C
[tex]T_{0} =[/tex] 95°C
We have to find value of t for that first we will find value of k and applying all values in formula we get,(83-22)=(95-22)[tex]e^{-k}[/tex]
∴ k = -ln (61/73)
Now,
(49-22) = [tex]e^{ln(61/73)t}[/tex]
∴ t = [tex]\frac{ln (27/73)}{ln(61/73)}[/tex]
∴ t = 5.54 minutes
So, after 5.54 minutes temperature will be 49°C
Learn more about Newton's Law of Cooling here:
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a streamer going downstream in a river cover the distance between two towns in 15 hours coming back upstream it covers the distance in 20 hours the speed of the water is 3 kilometre per hour . find the distance between two towns
Answer:
360 km
Step-by-step explanation:
Let stream speed = x
Speed of water = 3km/hr
Therefore,
Upstream speed = (x - 3) km/hr
Downstream speed = (x + 3) km/hr
Time taken downstream = 15 hours
Time taken upstream = 20 hours
Recall:
Distance = speed * time
Upstream Distance = downstream distance
20(x - 3) = 15(x + 3)
20x - 60 = 15x + 45
20x - 15x = 45 + 60
5x = 105
x = 105 / 5
x = 21
Upstream speed = (21 - 3) = 18
Distance between the two towns :
18 * 20 = 360 km
Will mark brainliest!!!Solve for x and round to the nearest tenth
Answer:
i think its 63
In the diagram of collin ear points, LP=27, LM=NP, and MN=3
16. LM=
17. NP=
18. MP=
19. NL=
Answer:
Step-by-step explanation:
Given:
LP = 27
LM = NP
MN = 3
16). LP = LM + MN + NP
27 = LM + 3 + LM
27 = 3 + 2(LM)
LM = 12
17). Since, LM = NP
NP = 12
18). Since, MP = MN + NP
MP = 3 + 12
MP = 15
19). NL = LM + MN
NL = 12 + 3
NL = 15
Find the length of side x in simplest radical form with a rational denominator.
60
X
5
30
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
Sin 30 = 5/x
Sin 30 = 1/2
x = 10
The length of the side x is 10.
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
The length of side x can be calculated using the trigonometric identities.
We know that,
Sin x = Perpendicular / Hypotenuse
Sin 30 = 5 / x
1/2 = 5/x
Multiply 2 on both sides.
1= 10/x
x = 10
Thus,
The length of the side x is 10.
Learn more about trigonometric identities here:
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The ratio of men to women working for a company is 5 to 8. If there are 232 women working for the company, what is the total number of employees?
Answer:
The total number of employees is 377.
Step-by-step explanation:
1. You divide total number of women (232) by the ratio of women. (8)
232/8 =29
2. You take 29 and multiply it by the amount of men in the ratio. (5)
29*5=145
3. Finally you just add the total amount of men (145) and the total amount of women. (232)
232+145=377
I hope this helps!
I tried to explain to the best of my ability.
Answer: 377 employees
Step-by-step explanation:
The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.
[tex]\frac{5}{8}= \frac{x}{232}[/tex] After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.
Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company
this is a part of science too so pleae help
PLEASE HELP ME~!!!!!!!
Answer: y= 5x + 3
Step-by-step explanation:
Lol literally so easy when you understand it so:
the formula for slope intercept form is:
y= mx + b
in this case just plug in the values
hope this helps ;)
also can I get brainliest pls?
Which expression is equivalent to 4.005−3.12?
Answer:
0.885
Step-by-step explanation:
Please help me !!!!!!
Answer:
A
Step-by-step explanation:
Hope it helps!
Answer:
i think its b
Step-by-step explanation:
Reindeer are fed 2 cups of corn for every 3 cups of grain. If you have 12 cups of corn, how many cups of grain need to be added?
S cups
1 cup
9 cups
13 cups
The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.
Answer:
$ 6096
Step-by-step explanation:
Let the cost of truck = x
x+19% of x = 9068
x + 0.19x = 9068
1.19 x = 9068
[tex]x = \frac{9068}{1.19}[/tex]
x = 7620.17
Reduction = 20% of 7620.17
= 0.20 * 7620.17
= $ 1524.03
New price = 7620.17 - 1524.03
= $ 6096.14
Cooper runs a farm stand that sells apples and grapes. Each pound of apples sells for $3 and each pound of grapes sells for $2.25. Cooper sold 3 times as many pounds of apples as pounds of grapes and he made $180 altogether. Graphically solve a system of equations in order to determine the number of pounds of apples sold, x,x, and the number of pounds of grapes sold, yy.
Answer:
The answer seems like it's 400 but i'm not 100% sure.
Step-by-step explanation:
Elizabeth practices the piano 1470 minutes in 5 weeks. If t represents the total time she practices for any number of days, d, write a proportional equation for t in terms of d that matches the context.
Using proportions, it is found that the proportional equation for t in terms of d that matches the context is:
[tex]t = 42d[/tex]
Elizabeth practices the piano 1470 minutes in 5 weeks, hence, each day, consdering a week has 7 days, the amount of time she practices is:
[tex]a = \frac{1470}{35} = 42[/tex]
Hence, the proportional equation, considering t the time in minutes and d the number of days, is:
[tex]t = 42d[/tex]
You can learn more about proportions at https://brainly.com/question/24372153
Help please I will Brainly
Answer:
6 cm² is correct answer
because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.
simplify the expression (-6i)(-6i)
Answer:
36i^2 i think that's right
WORTH 67 POINTS!! PLEASE HELP QUICK!!
A.
B.
C.
D.
Step-by-step explanation:
When m > -3.1, the line should extend towards the right and the point at 3.1 should be an empty circle. (as m = 3.1 is not included in the solution set)
Hence the answer is Option D.
P.S. The reason why A is wrong is because the number line is wrongly labelled. -3.3, -3.2 and -3.1 are all less than -3 and should be on the left of the number line.
John has a bag of marbles There are 3 green, 4 blue, 2 red and 1 yellow. What is the probability of him getting a green or blue?
Answer:
7/10 or 70%Step-by-step explanation:
Total marbles:
3 + 4 + 2 + 1 = 10Green and blue marbles:
3 + 4 = 7Probability of getting green or blue:
7/107.43+9.25 Show Your Work
Answer:
16.68
Step-by-step explanation:
just add them like regular numbers then just put the decimal
HELP PLEASE
-9x + 3 > 39 OR - 5x + 6 < 16
9514 1404 393
Answer:
(-∞, -4) ∪ [-2, ∞)
Step-by-step explanation:
The solution to the first inequality is ...
-9x +3 > 39
-9x > 36 . . . . . subtract 3 from both sides
x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative
__
The solution to the second inequality is ...
-5x +6 ≤ 16
-5x ≤ 10 . . . . . . . subtract 6 from both sides
x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative
__
These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...
(-∞, -4) ∪ [-2, ∞)
The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.
What is the value of the expression 3y−4 when y = 2?
Answer: 2
Step-by-step explanation:
we simply plug in 2 for y.
3(2) - 4
6 - 4
6 - 4 = 2
Answer:
3y-4=2
3×2-4
=6-4
2 the value of y is 2
Please help by today
Answer:
hmmmmm
Step-by-step explanation:
Answer:
∠3 = 108
Step-by-step explanation:
∠1 + ∠2=180 because a straight line is 180°
∠1=5x+10 and ∠2=9x+2
5x+10 + 9x+2 = 14x+12
14x+12=180
180-12=168
168/14=12
x=12
∠2 = 9x+2 = 110
180-110 = 70
∠4 = 70
∠4 + ∠3 + ∠5 = 180
∠5 = 90 -5x = 30
i messed up the process here lol but the answer is for sure right
What is the last digit of 777^777?
Answer:
7 I. guessing oh wait nah its fish
please help asap!!!!
Answer:
z = 25
Step-by-step explanation:
adjacent angles in a rhombus are supplementary
3z - 15 + 7z - 55 = 180
10z - 70 = 180
10z = 250
z = 25
if 2/5 cups of coconut shavings cover 1/4 of the cake, then how much coconut shavings are needed for the entire cake?
Answer:
24/20 cups or 6/5 cups.
Step-by-step explanation:
Good luck :)
Please help it’s due in 10 minutes
I will also venmo you $5
Answer:
[tex] \arc{PNM} = 222 [/tex]
Step-by-step explanation:
Central angle = measure of the arc it subtends
Therefore:
[tex] \arc{PN} = \arc{PM} = 138 [/tex]
A full circle = 360°
So,
[tex] \arc{PN} + \arc{PM} + \arc{NM} = 360 [/tex]
Plug in the values
[tex] 138 + 138 + \arc{NM} = 360 [/tex]
[tex] 276 + \arc{NM} = 360 [/tex]
[tex] \arc{NM} = 360 - 276 [/tex] (subtraction property of equality)
[tex] \arc{NM} = 84 [/tex]
[tex] \arc{PNM} = \arc{NM} + \arc{PN} [/tex]
Plug in the values
[tex] \arc{PNM} = 84 + 138 [/tex]
[tex] \arc{PNM} = 222 [/tex]
please please please help
Answer:
I have no clue what part B is asking because I can't read it, but here is part A!
AB/PQ = 2/3
AC/PR = 2/3
BC/QR = 2/3
Step-by-step explanation:
Since it says that the tiangles are similar, then it means that AB=PQ, AC=PR, BC=QR.
So, AB/PQ = 6/9 = 2/3
And, AC/PR = 8/12 = 2/3
Also, BC/QR = 10/15 = 2/3
Jason keeps track of the money he earns and spends in the table below. A positive number
means money earned. A negative number means money spent. Which list shows the
amounts in dollars ordered from least to greatest?
Estimate the quotient 19 4/5 • 4 5/8
Answer:
-0.1692
Step-by-step explanation:
use your cakculator
Guess the rule and add the next number in the sequence.
6, 8, 12, 18, 26,
Answer:
The rule: Adds twice as much as the previous number added
Next number: 38
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The rule is every time you add 2 so 6 plus 2 equals 8 them you would do 8+4=12. your counting by 2 as u go up the line.
If Maggie rides for 2 hours on a bicycle, what is her rate if she rides for 8 miles?
__________________ mph
Answer:
4 mph
Explanation:
8 miles / 2 hours = 4 miles each hour
