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
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Which expression is equivalent to 4.25 – (-8)?
sumi
Choose 1 answer:
-8+(-4.25)
B
8 - 4.25
1:59
ice wi
the a
4.25 + 8
on 2:
D
4.25 +(-8)
Answer:
4.25+8
Step-by-step explanation:
the double negative makes it a positive
Add 3 5/12+2 5/9. Simplify the answer and write as a mixed number.
Answer:
5 35/36
Step-by-step explanation:
add the whole number: 3+2= 5
add the fractions: 5/12 = 5/9= 35/36
add the whole number and fraction
5 35/36 so x= 5 35/36
Select all of the following tables which represent y as a function of x.
Answer:
the second and third one
Step-by-step explanation:
two y's that are the same can't have 2 outcomes
Brenda collected this data from an experiment.
Hours of Sunlight (t) 3 5 7 9 11 13
Height in inches (h) 2.3 3.3 3.9 6.1 7.0 8.4
For the line of fit h = 0.6t + 0.44, what is the residual (difference) of the data point at ???? = 7?
Given:
The data table of an experiment.
Equation of best fit line is
[tex]h=0.6t+0.44[/tex]
To find:
The residual (difference) of the data point at t = 7.
Solution:
From the given table, it is clear that the value of h is 3.9 at t =7.
So, observed value is 3.9.
Equation of best fit line is
[tex]h=0.6t+0.44[/tex]
Putting t = 7, we get
[tex]h=0.6(7)+0.44[/tex]
[tex]h=4.2+0.44[/tex]
[tex]h=4.64[/tex]
So, the estimated value is 4.64.
Residual formula:
Residual = Observed value - Estimated value
= [tex]3.9-4.64[/tex]
= [tex]-0.74[/tex]
Therefore, the residual value of the data point at t = 7 is -0.74.
(m−3+4n)⋅(−8) What is the answer
Answer:
The correct answer is,
[tex] - 8m + 24 - 32n[/tex]
On Tuesday Bob, Larry, and Joe studied for their Algebra test. Bob
studied for 12 minutes less than Larry, and Joe studied twice as long
as Bob. How many minutes did each student study if they studied a
total of 96 minutes?
Answer:
Bob- 33, Larry- 21, Joe- 42
Step-by-step explanation:
Set up the equation with x=the amount of time Larry spent studying. x+(x-12)+2(x-12)=96. Distribute and combine: 4x-36=96. Add 36 to both sides (4x=132), and then divide by 4 (x=33). Larry studied 33 minutes, subtract 12 to find Bob, and then double Bob's time to get Joe's study time.
From number 2 and 3, The baker sends al his bread to one store if he can pack up to 15 loaves of bread in a box for shipping what is the minimum number of box’s required to ship all the loaves baked in two weeks
Answer:
Get smart and stay safe :D
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Answer and Step-by-step explanation: Let \displaystyle xx be the amount Peter picked. Then Mary and Lucy picked \displaystyle 2x2x and \displaystyle x+2x+2, respectively. So
\displaystyle x+2x+x+2=26x+2x+x+2=26
\displaystyle 4x=244x=24
\displaystyle x=6x=6
Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.
Peter picked 6 kilograms of chestnuts.
Mary picked 12 kilograms of chestnuts.
Lucy picked 8 kilograms of chestnuts.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Let Peter pick x kilograms of chestnuts.
Given that Mary picked twice as many chestnuts as Peter
So, Mary picks 2x kilograms of chestnuts.
And Lucy picks x + 2 kilograms of chestnuts
Together the three of them picked 26 kg of chestnuts
So, x + 2x + x + 2 = 26
4x + 2= 26
4x= 26-2
4x= 24
4x/4= 24/4
x= 6
Thus, Peter picked 6 kilograms of chestnuts.
⇒ 2x
⇒ 2 (6)
⇒ 12
Thus, Mary picked 12 kilograms of chestnuts.
⇒ x + 2
⇒ 6 + 2
⇒ 8
Thus, Lucy picked 8 kilograms of chestnuts.
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25 less than x
Pls help anyone
Answer:
If you are looking for an equation, then it would be 25 < x.
Step-by-step explanation:
The best bike in a bike shop
sells for $400. The cheapest
bike sells for $50. The best
bike's price is what percent of
the price of the cheapest
bike?
Answer:
12.5%
Step-by-step explanation:
So just make an equation
400x=50
50/400=1/8=.125
.125=12.5
12.5%
A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?
Answer:
20 $50 bills
8 $10 bills
Step-by-step explanation:
Find how many $10 and $50 bills are in the cash register.
Make a systems of equations:
t = Amount of $10 bills
f = Amount of $50 bills
10t + 50f = 1080
t + f = 28
Lets solve for $50 bills first:
10t + 50f = 1080
-10(t + f = 28) = -10t - 10f = -280
----------------------
Solve for f:
10t + 50f = 1080
-10t - 10f = -280
40f = 800
Divide both sides by 40.
f = 20
There are 20 $50 bills.
Now we need to find how many $10 bills are in the register.
Plug in 20 to "f" in one of the equations and solve for "t".
Solve:
t + 20 = 28
Subtract 20 from both sides.
t = 8
There are 8 $10 bills.
Your answer should be:
20 $50 bills
8 $10 bills
Find the value of the expression whenx=1, y=-1,z =0a)5y –y b) 3x² +2y + 3z² c) 2y² -3xyz
Answer:
a) 4
b) 1
c)2
Step-by-step explanation:
a) 5y - y
= 5 - 1
=4
b) 3×1×1 + 2×1 + 3×0×0
= 3 - 2 + 0
1
c) 2×1×1 - 3×1×1×0
= 2 - 0
= 2
solve using the order of operations 5 x (2+4) -52
Answer:
-22
Step-by-step explanation:
Order of Operations:
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
First, you need to do parenthesis first so inside the parenthesis is 2+4 which is 6
Now the equation looks like this:
5 x 6-52
Since there are no exponents we can skip that step, next is multiplication so 5 x 6 is 30 so the equation now looks like this:
30-52
Subtract and you will have
-22
Hope this helps!
For 22 days out of the month, Brian rides his bike 16 miles a day. About how many miles does Brian ride in one month? Solve the problem and explain how you estimated the product.
-5x + y = 56 and x + y = -4
Subtract 2w + 4 from 3w + 6 please help!!
Answer:
w+10
Step-by-step explanation:
3w+6-2w+4=w+10
Answer:
Step-by-step explanation:
x subtracted from y means y-x
2w+4 subtracted from 3w+6= (3w+6)-(2w+4)
don't forgett to diestribute invisible -1
-(2w+4)=-1(2w+4)=-2w-4
so
3w+6-2w-4=
3w-2w+6-4=
1w+2=
w+2
Kim has a new job. She decided to follow this savings plan: Month Dollars
1 - 65
2 - 72
3 -79
4 - 86
5 93
6 -100
7 - ?
Step-by-step explanation:
For every month increase by 1, the amount of dollars increase by 7. (from 65 to 72, 72 to 79, 79 to 86 etc.)
Hence at Month 7, there will be 100 + 7 = 107 dollars.
Answer:
107 dollors
Step-by-step explanation:
For every month, It increase 7 dollars, So it would be 107 bdollors
The Stanford Times had 2,700 subscribers last year.This year, after the paper was bought out, it had 17% more. How many subscribers were there this year?
17% of 2700=459
17% more= 2700+459
Subscribers this time=3,159
Q +2.02=9.2 q equals
Answer:
Q=7.18
Step-by-step explanation:
9.2-2.02=7.18
Answer:
7.18
Step-by-step explanation:
subtract 2.02 from 9.2
slope of the line (-3,-6) and (4,1)
Answer:
- 5 / 7
Step-by-step explanation:
1 - 6 = - 5
4 - - 3 = 7
of 30 students, 1/3 play sports. Of those who play sports, 2/5 play soccer.
How many students play soccer?
A. 4
B.12
C.5
D.10
PLEASE HELP
a/27 = -3.23
K/(1.2)= -0.07
54.6 = 4.2y
-7.2y = 61.2
Math rush please help
Answer:
K/(1.2)= -0.07
54.6 = 4.2y
-7.2y = 61.2
Math rush please help
Step-by-step explanation:
a/27 = -3.23
K/(1.2)= -0.07
54.6 = 4.2y
-7.2y = 61.2
Math rush please help
What is an imaginary number?
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by it's property i² = −1. The square of an imaginary number bi is −b². For example, 5i is an imaginary number, and it's square is −25.
There are 15 pieces of fruit in a bowl and 3 of them are apples. What percentage of the
pieces of fruit in the bowl are apples?
a.
3%
c.
20%
b.
15%
d.
40%
Work Space
Answer:
c. 20%
Step-by-step explanation:
3/15=1/5
1 divided by 5 = .2
Move decimal point 2 times to get percent.
20%
Help me please. It means a lot
Answer: Jonny makes $15 per hour working at Target. He gets a bonus at the end of the month for $85. This month, he made a total of $685. Write an equation to show how many hours he worked
Step-by-step explanation:
1 is 51
2 is 34
3 is 95
5 is 47
6 is 74
7 is 59
Ok that should be right if I didn't mix anything up!
Help me with this thx <3
please help asap!!!!!!!
Answer:
c = 20
Step-by-step explanation:
Given that,
A rectangle PQRS,
QT = c and ST = 4c-60
We need to find the value of c.
We know that the diagonals of a rectangle bisect each other such that,
QT = ST
Putting values,
c = 4c - 60
Taking like terms together,
60 = 4c - c
60 = 3c
c = 20
Hence, the value of c is 20.
please help asap!!!!!!!!!
Answer:
Z=25
Step-by-step explanation:
Angle C and D are Supplementary so
3z-15+7z-55=180
10z-70=180
10z=250
z=25
Write an equation in the first box (use x as your variable). Then, solve (in second box).
Answer: 3.2x = 48
Step-by-step explanation: So that means x = 15.
Solve for all possible values of x. Show all work.
X + 2
2x - 1
3x
Answer:
a) x+2=0
x= -2
b) 2x-1=0
2x=1
x= 1/2
c) 3x=0
x= 0/3
x=0